diff --git "a/data/dm_maths/full_data_1/1485_11255.jsonl" "b/data/dm_maths/full_data_1/1485_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1485_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -5*k**3 - 30*k**2 + 12555*k + 269080.\nAnswer: -5*(k - 56)*(k + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 + 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 159a + 13519?\nAnswer: 14ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 18*o**3 + 468*o**2 + 4056*o + 35152\/3 = 0.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3080725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 326 + 25*a**3 - 326 - a**3 + 2 - 2 + (2 - 5 + 5)*(-a**3 + 4*a**2 - 4*a**2) + 3 - 3 - 2*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 13 = 20*p. What is the remainder when 32 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 131*t - 3973. Let j be k(48). Let w(s) = -s + 2. Let c be w(4). Let x(y) = -6*y - 1. Let f(o) = -o. What is c*x(d) + j*f(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -59639*0.061\nAnswer: -3637.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -317 - -321. Let g = 8.04 + -0.04. Let y = g + s. What is the smallest value in -3, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - ((-9)\/126)\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5523 take away 3?\nAnswer: -5526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248768848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35282212 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 10*x - 21. Let w be o(7). Suppose h - 4*g = w, 0 = 4*h + 3*g + 7 - 26. Calculate the lowest common multiple of 10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1824?\nAnswer: -1824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4 - 25. Let h(g) = -g**3 - g**2 + g. Let y be h(-3). Let z be (-1)\/1 + (y - 10). Solve -z*j + v*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8593.948 litres in millilitres?\nAnswer: 8593948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r + 6. Let a be h(7). Let c = -26 + a. What is the remainder when 57 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {n: 17, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92946018.\nAnswer: 2, 3, 11, 67, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 9. Let o(a) = 2*a - 14. Let v = 460 + -468. Determine v*r(f) + 5*o(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)\/sqrt(20) - sqrt(21)) + sqrt(21))\/(-1*sqrt(3)*5 - sqrt(3)))**2*6.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2894961050 to the nearest integer?\nAnswer: 53805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*b - 227 + 115 + 112.\nAnswer: -65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3388.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1216)\/228)\/((-12)\/(-27))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*p**2 - 14*f**2 + f*p**3 + 4*p**2 wrt p.\nAnswer: 4*f**2*p + 3*f*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195173\/56728 - 6\/1013. Let w = -10\/7 + h. Calculate the common denominator of 3\/52*460\/(-30) and w.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912 by 3.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.2 + 7.134. Let t = -9.43 - -9.3713. Let w = t - l. Round w to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cee when three letters picked without replacement from {g: 2, w: 4, c: 1, e: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.2 - -0.2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-9)\/15 - 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3 - 4 + 6)*(5 + 4*h + 1 - 4)*(2 + 1 - 1).\nAnswer: -80*h - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, 101, -1 in decreasing order.\nAnswer: 179, 101, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 53*j - 1948. Calculate the remainder when w(63) is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4857, -4827, -4777, -4707, -4617?\nAnswer: -4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*d + 51*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 28. Suppose v*q = 4*q + 384. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 7*u + 3. Let g be a(-3). Suppose 0 = 4*h + 2*v - 920, g*h - v = 5*h + 920. Suppose 11*i - h = 6*i. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + 106. Calculate the remainder when b is divided by 2\/(-21)*(51 + -44)*(-46 + 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1245?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -a + 2*q, 5*q = -5*a + 30. Suppose c - 2*v = -1, 6*c - 4*v + a = 2*c. Let p = -2\/449 - 3135\/1796. Does p = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.073348 + -5?\nAnswer: 48.073348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 6*r = 72. Solve l + 2*l = r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:12 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16629.17 millilitres in litres?\nAnswer: 16.62917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 + -235. Suppose 0*k = k + 5, -p*d - 5*k = 15. What is h in 3\/2*h**d - 3\/2*h**3 + 0*h + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91492 divided by 1233\nAnswer: -91492\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32680.501 * -6\nAnswer: 196083.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -1. Suppose -10 = -4*a - y*f, 3*a - 8 = -5*f + 17. Solve a*c = -c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/5 - -8\/5. Sort f, -2\/17, 0.4 in decreasing order.\nAnswer: 0.4, f, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(76)\/sqrt(4) - sqrt(19)) + 4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:55 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1773 - -12.2327. Round s to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - (-5 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 7*b**2 + 8*b - 12. Let n be i(5). Let v = n - -55. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030414 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**17\/m*m)\/(m**(-2\/3)*m))\/(m\/m**(16\/3)*m**(-3)))**19 assuming m is positive.\nAnswer: m**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -354 + 452. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*n - 3143 = -250*n + 4253 - 1378 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 9, u: 4, m: 1}. What is prob of picking 1 r and 1 n?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose -3*b + 3*q + 25 = 2*q, 5*q = -a*b + 19. Suppose 5*f - 20 = 5. Calculate the remainder when b is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 328 = 2*v - 0*v, 4*v + q - 642 = 0. Suppose 0*x = -5*x + v. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 123 + 23 = 0. Suppose 4*v + m - p = 5*m, -3*m = 5*v - 1. Solve 0*z - 2 = v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - ((-120 - -41) + 45)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.276012 + 47?\nAnswer: 52.276012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 5*i**2 - i**2)*(i + 262778 - 526656 + 263152) to m*i + j*i**2 + k*i**3 + h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52188 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808922 is divided by 44120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6282357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = w - 3*v, 3*v - 40 = -5*w - 5. Suppose -w*c + 58 = 3*f - f, 4*f - 134 = -2*c. What is the highest common divisor of f and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793235015?\nAnswer: 5, 127, 653, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 104. What is the common denominator of -46\/21 and -1 + z + (-551)\/261?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (-3)\/(-9)*0. Solve -15 = -3*y, -b = 4*a - 5*y + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9 and (-1323)\/1736*(4\/(-3) - 0).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1541684 - -3524884. What is w rounded to the nearest ten thousand?\nAnswer: 1980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 + 30*y**2 + 640*y - 3818. Give p(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 37*m + 42*m + 139, 3*r - 106 = 4*m. Solve 80 - r = -9*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from gxgxgggggggxgg?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 7*z - 13. Suppose u + 0 + 9 = 0. Let h be w(u). Suppose -3*g + 0 = b - 12, -2*g - h*b = -21. Calculate the highest common divisor of g and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*f - 15*f + 7*f - 4*f in the form z + m*f and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/2 - 177*j**2 - 12045*j\/2 - 5846 = 0.\nAnswer: -316, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 - 175. Let f = i - 53.00000047. What is f rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/(((a*(((a**15*a*a)\/a)\/a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/169 at most as big as -27.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3576 and 2408.\nAnswer: 1076376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 + 5*z. Let b(c) = c**2 - c. Let w(j) = 9*b(j) + 2*k(j). Let l be w(1). Let h = -2.4 + 0.4. What is the nearest to 2\/7 in h, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 41 = -3*u - 18*u. Solve 3*v + 2*n - 26 = -13, 4*v + u*n = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - t, 7*t + 12 = 3*t. Let v(q) = q**2 + 2. Calculate the lowest common multiple of v(-4) and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-28)*p*p)**(-1\/9)\/((p*p*p**(-31)*p*p)\/(p**3*p)) assuming p is positive.\nAnswer: p**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -3\/14 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/4)\/((r**13\/r)\/r))**4)**(-18) assuming r is positive.\nAnswer: r**882","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 4*p + 3. Let r be x(4). Let q be (r\/6)\/((-1)\/(-24)). What is the units digit of 5672\/48 - 2\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4, 0.2, 0.1 in decreasing order.\nAnswer: 4, 0.2, 0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 182566?\nAnswer: 73026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -33*v**2 - 205*v - 13. What is b(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -871*g - 1077*g + 716*g in the form k*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266403587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9156738.\nAnswer: 2, 3, 1526123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5369)\/(-65) + 4\/10. Suppose z - 18 = a. What is the remainder when a is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -1535, -3471, -6191, -9701, -14007?\nAnswer: -19115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(272) + 1*2*sqrt(17) + sqrt(170)\/sqrt(40))**2 + -5.\nAnswer: -52*sqrt(17) + 2917\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:05 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8510724 and 85\/6619452?\nAnswer: 59575068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.17 and 1739146.\nAnswer: 1739148.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1659 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3458282831?\nAnswer: 3458282831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/3*g**3 + 70\/3*g**2 + 1\/6*g**4 + 0 - 100\/3*g.\nAnswer: g*(g - 10)**2*(g - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -99, 5, -2\/247, -1\/4, -1.5?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3663?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(1*sqrt(68) + -1 + 0 + ((sqrt(68) + 1 + sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)) + 4)**2.\nAnswer: -3456 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 + 0.04. Let b = 68.58 - 2.58. Let c = -65.94 + b. Put c, i, -4 in decreasing order.\nAnswer: c, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -648, -642, -564, -378, -48, 462, 1188, 2166?\n\"Answer: 6*q**3 - 36*q - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8118, -10626, -13148, -15690, -18258?\nAnswer: -20858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1463, -11716, -39533, -93692, -182971?\n\"Answer: -1463*i**3 - 4*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132) - (sqrt(132) - sqrt(132)*-2)))\/((sqrt(144)\/sqrt(6))\/sqrt(2)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.9 - 43.2. Let r = o + -17. Which is the nearest to -2\/7? (a) 2\/3 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30881263\/13 or 2375481?\nAnswer: 2375481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/6 of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1831, 1824, 1813, 1798, 1779?\n\"Answer: -2*x**2 - x + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289596, 289521, 289446, 289371, 289296?\nAnswer: 289221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100101 - -11?\nAnswer: 10010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*b + 12*b**2 + 28*b)*(-5 + 0 - 6) + (-2 + 2 + 3*b)*(11 - 11 + b) as f*b**2 + g*b + a and give f.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16884211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * -1.898119\nAnswer: -0.36064261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - 129*h**3\/7 + 374*h**2\/7 + 72*h.\nAnswer: h*(h - 126)*(h - 4)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10356171 is divided by 61?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 10. Let w be x(12). Let f be w + (-1 - 5\/3). What is the biggest value in -1, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 18*b + 20. Calculate u(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2001202210022?\nAnswer: -2001202210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -15. Sort -3, o, 5 in decreasing order.\nAnswer: o, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9*d = 4*d - 20, -3*f - d = -12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/72 and 113\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 4*k + 0 = 62, -4*y = 3*k + 88 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2385 is divided by 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145631 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16*u - 1. Let g = -59 - -58. Give l(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590588, -590597, -590606, -590615, -590624?\nAnswer: -590633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.18 + 0.18. Which is the nearest to 0? (a) -5 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-4)\/1)\/((-1065)\/3905 + (-4)\/66)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 809.05, -1, 0 in descending order.\nAnswer: 809.05, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453042?\nAnswer: 2, 3, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 72. Suppose 6*t - 22 = 56. Let b be n(t). Suppose -y + b = 148. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5\/3 (b) 0.11 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c + 1. Let t(r) = -2*r**2 + 7*r + 5. Let d(u) = u**2 - 4*u - 3. Let a(g) = -5*d(g) - 3*t(g). Give 3*a(v) - z(v).\nAnswer: 4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s + 0*s)*(2*s + 5*s - 4*s) + (3 - 2*s - 3)*(s - s - 2*s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2. Let n be m(-11). Suppose -5*k - n*k = 6588000. Round k to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -5) + -3 + -4 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*u**3 - 69*f*u**2 - 20*f*u + 3*u + 1 wrt u?\nAnswer: 18*f*u - 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029980565 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 291.3, 47.5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11171 or 11166?\nAnswer: 11171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64058106 divided by 6?\nAnswer: 10676351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*w = -220*w - 84 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367103.9ml in litres?\nAnswer: 367.1039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -28, -1\/4, 4\/131, 0.1, 0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**4 - 7*w**2 + 116*w.\nAnswer: 48*w**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 1 - (35 + -14). What is the tens digit of (-12267)\/b - (-3)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v + 29. Let h(a) = a. What is 3*h(j) + r(j)?\nAnswer: -4*j + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197.5404g to tonnes.\nAnswer: 0.0001975404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, a: 3, x: 1, d: 3}. Give prob of picking 2 t and 2 a.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*9\/162*(0 - -32). Suppose 0 = 8*l - y. Suppose -3*r + 62 = l*z, -r - 2*z = -z - 19. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6 - 1\/(-1). Let p = -33.1 - -33. Put d, p, 5 in increasing order.\nAnswer: d, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/5352 and -83\/16.\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**5\/10 + 3*i**4\/8 - i**3\/3 - 3*i**2 - 4*i + 24. Factor l(k).\nAnswer: (k - 2)*(k + 1)*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -10. Suppose -b*d - 8 + 11 = 0. Is -2\/49 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 26 + 25 - 12*g + (-2 + 5 - 4)*(-g + 4 - 4).\nAnswer: -11*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 22869 = -4*i + 10729, -2*i + 16804 = -4*j. Suppose 0 = 12*n + n - i. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 5. Let h(c) = 6*c**2 + 8*c - 4. Let f(v) be the third derivative of v**5\/12 + 7*v**4\/24 - v**3\/2 - 68481*v**2 + 3. Calculate j*h(a) - 7*f(a).\nAnswer: a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrpprprrrcrrpcrr. Give prob of picking 2 c and 1 p.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l**3 + 24*l**2 - 27*l - 6. Let z(u) = -u**2 + 4*u**3 + 3 + u - 2 + 5*u**3 - 8*u**3. Let p(a) = h(a) - 3*z(a). Factor p(b).\nAnswer: 3*(b - 1)*(b + 3)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6624*t - 6299 + 10891 + 108016 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -55*n + 62*n + 6 + 2 + 0. Let z be b(11). Suppose 4 = -4*s, -t - t = 5*s - z. What is the highest common factor of t and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -37. Suppose 2*c - 4*u - 14 = 0, 2*c - c - 4 = -u. Suppose -c*v + l*v = -4. Solve -y = -v*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:17 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.68 - -0.656. Let d = -2.024 - r. Is d less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 16) to base 3\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3))**16\/(u**(-2\/11)*u**(3\/7)) assuming u is positive.\nAnswer: u**(6103\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/3*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12293422 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 32688*u + 1699770. What is b(-52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3307507\nAnswer: 2\/3307507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 10*t**2 - 47*t + 18. Let j(o) = -5*o**3 - 52*o**2 + 238*o - 90. Let a(l) = -31*c(l) - 6*j(l). Give a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2 - 5 - 6204*a**2 as j*a + b*a**2 + y and give b.\nAnswer: -6204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12074 + -12073.9981388. Round s to 5 dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462631 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*l**3 + 2180*l**3 + 971*l**3.\nAnswer: 2747*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 + 580. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c, 4*x = 9*x + 4*c + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let v(n) = 9*n - 194. Let k(a) = -4*a + 70. Let i(q) = 10*k(q) + 4*v(q). What is z(i(r))?\nAnswer: -16*r**2 - 608*r - 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:30 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -50. What is the lowest common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 + -0.51. What is the nearest to 4 in 1, -4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140369432779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3405*l + 994*l - 2863*l + 479934 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 1\/4, 3.9, -126, 0.44?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/84)\/(5*-1).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 8 = -3*x - 5*l, 4*l + 116 = -4*x. Let h(r) = -r**2 - 26*r + 83. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202.508955809 plus 9?\nAnswer: -2193.508955809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180580 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(72) + (sqrt(72) + (2 + 2*sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72))**2)*6 + (0 + 1*sqrt(288) + 1)**2.\nAnswer: 924*sqrt(2) + 15865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4551122 (base 6) to base 12\nAnswer: b24a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -43\/2. Let g be (-4 + -1)\/(2 + -1). Let l = -0.1 - 0. Sort g, b, l in decreasing order.\nAnswer: l, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -564, -506, -362, -96, 328?\n\"Answer: 6*r**3 + 7*r**2 - 5*r - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 397962 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + 7*j + 1. Let s(w) = 5*w**2 - 6*w - 1. Let h(o) = 4*p(o) + 5*s(o). Let d be h(3). Suppose 4*c - 26 + d = 0. Does 14\/3 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 15) to base 4.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjiikzk. Give prob of picking 1 d and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -131354 (base 6) in base 3?\nAnswer: -121111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 36 (b) -3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -10 (b) 1\/2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 3.3. Let v be 2 + (-2 - -1)*11. Let r(q) = -q - 9. Let z be r(v). Put z, -2, w in increasing order.\nAnswer: w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11809 + 11809.0000008109. What is b rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.35 + -70.25. Let b = h + 71. Let m = 9 + b. What is the nearest to 2\/3 in -3, 5\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.5033, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 196, 14, -3, 6, 4 in decreasing order.\nAnswer: 196, 14, 6, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-20)*(-2052)\/(-2223)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3*x + 1. Let d(j) = 18*j**3. What is the remainder when d(1) is divided by h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137812567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1222*-0.03\nAnswer: -36.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -1 (c) 1 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*x = 11, 5*u + x + 16 = -x. Let a = -18\/5 - -3. Are u and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373225, -373222, -373219, -373216, -373213?\nAnswer: -373210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + 2)*(-4*p**3 + 6*p**3 + 2*p**3 + (4 - 4 + 2)*(-p**3 - 2*p**2 + 2*p**2) - p**3 + p**3 - p**3).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 d when three letters picked without replacement from {r: 1, p: 1, d: 1, z: 1, w: 2, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 151*j + 1061. Give u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3274 is divided by 233?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -0*d - 24. Let l be (-3)\/(-4 - 5\/d). Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g - 39. Let q = g + 18. Solve 4*p + 0*x + 26 = 5*x, 0 = q*p - 4*x + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 9}. Give prob of sequence hh.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 13. Let d(v) = -v**2 - 2*v + 4. Let k be d(2). What is the lowest common multiple of s and k - (-17 + -2 + 1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-27)*(-2)\/(-20)*618\/(-1133)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1710, 1709, 1698, 1671, 1622, 1545, 1434?\n\"Answer: -l**3 + l**2 + 3*l + 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723244104 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 7254, -86 in increasing order.\nAnswer: -86, 7, 7254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926211932 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + 2 + (-12)\/(-9). Solve 3*o - x = -0*x + 10, -u*o + 3*x = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 467488, -145, -2\/3?\nAnswer: 467488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*z - 660, -7*z + 11*z - 446 = -2*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -43598.21\nAnswer: -174392.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -1\/2 (c) -8 (d) -0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2 + 2 - 4*h - 2 + 1. Let u be t(5). Suppose i + u*i - 55 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a**3 - 73*a - 2 + 18*a**3 + 67*a - 35*a**2 - 1 - 3 to i*a**2 + p + z*a + m*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 12187943 and 0.\nAnswer: 12187943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49502 (base 11) in base 14?\nAnswer: -1bd02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19867760 and 20678.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058259*f**3 - 1224 + 1224.\nAnswer: 1058259*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2 + 9*y + 9. Let d(m) be the third derivative of -m**5\/12 + m**4\/6 + 2*m**3\/3 + 6*m**2. Determine -4*b(x) + 9*d(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*v + 13 - 7 - 8 + 2*v to the form c + n*v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44082, 88148, 132192, 176208, 220190, 264132?\n\"Answer: -c**3 - 5*c**2 + 44088*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 12) in base 5?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/1260)\/(4\/(-6)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 324 = 3*y, 0*y - 2*y + d = -221. Calculate the highest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -843, 2, 5 in decreasing order.\nAnswer: 5, 2, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3 = -4*j - 0*r, -4*r + 4 = 0. Solve -j*t = 2*b - 4, 5*t + 0*t - 3*b + 30 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 29*o - 25 - 138 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-1584)\/32)\/33)\/(-6 + 0). What is the closest to y in 0.5, -0.04, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2))**(3\/19)*(u*(u**(2\/5)*u)\/u)**(-4\/17))**(-20))**(1\/5) assuming u is positive.\nAnswer: u**(1618\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 6. Suppose -5*i = 18 - 23. Let c be 0 + 0 + (-10 - (-7)\/i). Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**2 - 32*b**2 - 8*b**2 as i + f*b + d*b**2 and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4, -5*t = -10*t - 4*c + 44. Let x(k) = -2*k**3 + 15*k**2 + 12*k - 22. Calculate the remainder when 29 is divided by x(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-90)\/72)\/((-195)\/24). Which is the fourth biggest value? (a) 2 (b) 2\/35 (c) 2\/9 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 36 = 5*h. Let d(j) = j**3 + 17*j**2 + 27*j - 16. What is the tens digit of d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -15. Let k(f) be the first derivative of f**4\/4 + 11*f**3\/3 + 3*f - 18. Let d be k(l). Solve 0 = 2*w - 3*r + 18, 6*r = -4*w + d*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 425 + -388. Let m = y - 33. Which is the nearest to -0.1? (a) 2 (b) 2\/5 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901084060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/4 + t**3\/2 + 4*t**2 - 27*t. Calculate the remainder when m(-3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 45*j**3 - 5*j**2 - 5*j - 3. Let g be i(-7). Let n be ((-13750)\/(-66))\/(2\/g). Round n to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s + 23. Let a(t) = -5*t + 20. Let i(g) = 3*a(g) - 2*w(g). Determine i(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -16, -0.1, 2\/19, -4\/5, -248\/889, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lle when three letters picked without replacement from wgweesmelweelweswgsl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.66 (c) -14 (d) 229.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -108*x + 113*x - 10, 3*t = 3*x - 30. Let a(l) = -l + 9. Let b(c) = -4*c + 8 - c + 4*c. What is x*b(r) - 5*a(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 10*o**2 + 8)*(2*o + o - o) to the form k*o**2 + t*o**3 + f + q*o and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilogram in grams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106427857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.7 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846 by -423.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-348)\/27 + -2. Let v = 7 + o. Find the common denominator of 23\/11 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1324427.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 50\/3*l + 44 + 2\/3*l**2 = 0. Calculate l.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 1, 5, -11 in descending order.\nAnswer: 5, 1, -5, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Let l(m) be the third derivative of 1\/8*m**4 + 0*m**3 - 3*m**2 + 0*m + 0. What is l(i(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = w + 4*w + 179, i = -4*w + 8. Suppose f = -3*f + 1432. Calculate the remainder when f\/6*(4 - 1) is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 9. Let r be q(5). Suppose 0 = -3*u + 2*u + r*u. Solve u = -i + 4*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92, -88, -84?\n\"Answer: 4*b - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let s = 0.9 - -0.1. Let p = s + 2. Put d, 2, p in decreasing order.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78390355409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 497563\/39 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -4*f**5\/5 - f**4\/12 + 17*f**3\/6 + 46*f**2. What is the second derivative of p(l) wrt l?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 59 = -u + 5*k, 0 = -2*u + k + 128. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2100\/(-50))\/(-798)*(-2)\/2\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*h - 258 = 0, -6*s - 128 = -4*s + h. What are the prime factors of 5343\/24 - (-3 + s\/(-24))?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 1. Let b(n) = -n**3 - 2*n**2 - n + 3. What is the remainder when v(-2) is divided by b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 9*m + 14, 0 = -5*n + 4*m - 1817 + 1845 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -3) + (-1)\/1. Let t be (-2)\/((-25)\/(200\/(-256))). Sort -1, y, 0.4, t in ascending order.\nAnswer: y, -1, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4.5, 11.9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37026.21 to the nearest one hundred.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2429 rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**2 + 9324*w - 37296. Determine v(4).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172409058.\nAnswer: 2, 1086204529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2317, 2318, 2319, 2320?\nAnswer: 2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(95) - 3*sqrt(95))*3 - sqrt(95))\/(sqrt(60)\/(sqrt(24)\/sqrt(2))).\nAnswer: -7*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 146*c + 162. What is h(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7684 - -7682. Do v and -485 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:58 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2\/7, 3\/257, 1\/2, -4\/25 in decreasing order.\nAnswer: 1\/2, 3\/257, -0.04, -4\/25, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q + 6. What are the prime factors of i(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*k**5 + 97*k**2 wrt k?\nAnswer: -4920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j + 6, 0 = -4*a + 4*j + 24. Suppose -n + 44 = a*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 47 = 122. What is the remainder when w is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 1210.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 3) in base 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/154)\/2)\/((-2)\/(-126)*36)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -9, 3, 21, 45, 75, 111?\n\"Answer: 3*a**2 - 3*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/6655 - 3041343\/26620. Let f = -115 - i. Let u be ((-24)\/(-40))\/(2\/(-5)). What is the third smallest value in f, -3, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964900.\nAnswer: 2, 5, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -5 (c) -1.092 (d) -3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, z: 3, v: 3, t: 6}. Give prob of sequence vt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/3)\/((-4)\/(-6)). Let u(b) = -b + 0*b**2 - 11 + b**2 - 5 + 18 - 10. Does 27 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*b + 223*b - 418 + 1557 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51627134 + 2?\nAnswer: -51627132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {b: 5, g: 3, t: 3, q: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let q be o(1). Does 8 divide 2\/4*q - 279\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*p + 50 = 0, 220*x + 5*p + 100 = 224*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 10 - 2 + 39 + 10 - 25.\nAnswer: -s + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 10)\/(3 - 1). Let g be (-38)\/247 + 178\/(-26) + 17. Solve -5*a + 0*j + r = -5*j, -4*a + j = -g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51662 by -25831.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 + 7 = 0. Let d be (4\/10)\/((-6)\/(-45)). Suppose t + z*x + 15 = 0, t + d = 5*t - x. Which is the third biggest value? (a) t (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 173 - 56. Let r = c - 2. Suppose r + 92 = 3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**3 + 7*t**2 - 6*t + 8. Let a(f) = 20*f**3 - 20*f**2 + 17*f - 23. Suppose 11 = 4*h - 13. Let x = h + -23. What is x*m(s) - 6*a(s)?\nAnswer: -s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8314 is divided by 1384?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1958 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -95*m**2 + 5908*m + 4. Let s(c) = -68*c**2 + 3939*c + 3. What is -5*j(w) + 7*s(w)?\nAnswer: -w**2 - 1967*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/((-34)\/4))\/(2\/4). Find the first derivative of 0*b**2 - d*b**2 + 5*b - 5*b**2 - 10*b + 78 wrt b.\nAnswer: -18*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 - 2*u + 0*u**2 - 1\/3*u**3. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 1549988*t\/5 - 300307850018\/5.\nAnswer: -2*(t + 387497)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579133492 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 458896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000260515612 to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 11*l - 12. Let a be w(9). Suppose 6*j + a = 3*j. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**4. Suppose -2*p + 1 = 3. Let o(i) = -3*i. Let c(k) = p*o(k) - 2*n(k). Find the second derivative of c(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 188*l**2 + 902*l - 1068.\nAnswer: 2*(l - 89)*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/80 and -139\/1248?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -27261462 < -27261463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*m - 470*m = 57480. Round m to the nearest 100.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 191*j**4\/4 + 431*j**2 - 76*j - 4. What is the first derivative of w(r) wrt r?\nAnswer: 1146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -2\/3, -10.75, 1, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1, -106.4?\nAnswer: -106.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25\/50*(-3)\/(9\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*q - 3*q**2 + 7 - 163*q + q**3 + 8 + 109*q + 1 to the form l*q**3 + h*q**2 + y + k*q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 1800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1566 = -k, -131 = -3*i - 2*k + 1444. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjdwphl. Give prob of sequence pdh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471936, 471935, 471934, 471933, 471932, 471931?\nAnswer: 471930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10556181.\nAnswer: 3, 227, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 3*q**3 - q**2\/2 + q. Suppose 15 = 4*h + h. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 186300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 59 - 148196245*c + 148196258*c + 9.\nAnswer: 13*c - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -944, -2413, -3882, -5351, -6820, -8289?\nAnswer: -9758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/190 - -1\/95. Sort m, -1\/5, -1\/2, 4 in ascending order.\nAnswer: -1\/2, m, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 + 2.01086.\nAnswer: 2.05486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) -0.2 (b) 3\/16 (c) 1\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 7*o + 84. Solve 5*t - 2*t + q = o, 0 = -2*t + 5*q + 33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 524708430 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(204) + (-1*sqrt(204)*-4 + sqrt(204) - sqrt(204)) + sqrt(204))*1)\/(-4*sqrt(972) + sqrt(972) - sqrt(24)\/sqrt(72)))**2*3.\nAnswer: 264384\/26569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122.66 + 438012.34. Let l = 438143.00028 - r. Let v = l + -8. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640.7 + 2.07.\nAnswer: 642.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4095 = 6*x + 39*x. Suppose -1056 = -4*h - 280. Let l = x + h. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/685 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2788 * 0.4\nAnswer: -1115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 188*z**2 + 100*z**2 + z + 92*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13045*h**4 + 20575?\nAnswer: 52180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m**(5\/7)\/m))*m**(-2\/17) assuming m is positive.\nAnswer: m**(-48\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Let v(z) = -34*z - 4. Let o(c) = -23*c - 3. Let s(f) = 8*o(f) - 5*v(f). Does 19 divide s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377183 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 54*a**2 + 5. Let x(z) = 313*z**2. Determine v(x(c)).\nAnswer: 5290326*c**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 9. Let v be ((-2)\/3)\/(1\/(-9)). Is u(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.8 plus 3205094429?\nAnswer: 3205094384.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11636890?\nAnswer: 2, 5, 1163689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t - 9. Is 16 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*i - 32*i - 31*i + 9*i**2 to y*i**2 + d*i + l and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 243235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2800 + 2778. Which is the fourth biggest value? (a) i (b) -4 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 25*l**2 + 14*l - 354. Let c be z(25). Is -472\/91 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.9 - -41.9. Which is the third smallest value? (a) 3 (b) l (c) 13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -15125*p**2 + 220*p - 4\/5 = 0.\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -56. Let w = o + -103\/3. Let -1\/3 + w*v - 1\/3*v**2 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*a + 7. Let i(x) = x**2 + 10*x - 22. Suppose 5*j - 3*g = -57, -3*j + 2*g = -1 + 35. Calculate the lowest common multiple of i(j) and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(72) + 2 + sqrt(72)) - sqrt(72)) + sqrt(72))**2.\nAnswer: 1200*sqrt(2) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - (28 + (4 - 27)). Suppose 3*i - 5*i + 4*t = 42, -2*i + 2*t = 32. Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 671 = 858. What is the remainder when z is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 311 - 24. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13 - 3 + 3 + a**2 - 11*a - 3 - 4. Give s(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1181 and 19\/20.\nAnswer: 23620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19763927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - 2*j**5\/15 - j**4\/24 + 6*j**3 - 2*j**2 + 99*j - 5. Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 6*a**3 - 2*a**2 + 6*a.\nAnswer: 2*a*(a - 3)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, 2\/3, 1.3, -4, 5, 0.4.\nAnswer: -4, 0.4, 2\/3, 1.3, 5, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*t + 16 = 0, 0*r = -4*r + 5*t + 26. Suppose 18*o = 17*o - 1. Let q = r + o. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200111 (base 3) in base 11?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s**3 + s**2 + 0*s**3 + (-2*s**2 + 5*s**2 + s**2)*(-3*s + 3*s + 4*s).\nAnswer: 14*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5163876.74 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(119)\/sqrt(7)*4.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4 in ascending order.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(3\/(24\/(-4)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 times -30\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -121*g - 127*g - 138*g - 58*g**2 + 386*g. Let b(d) = d + 2. Let c(m) = -2*m - 5. Let u(x) = -5*b(x) - 2*c(x). Calculate u(a(f)).\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4836 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195, -347, -1257, -2541, -4205, -6255, -8697, -11537?\n\"Answer: -w**3 - 178*w**2 - w + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6230 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 128.9. Let w be 3\/(-2)*(-16)\/(-6). Let f = w + 1. Is f smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)\/(i*i\/(i**(-2\/3)\/i)))\/(i*i**(-1))**(14\/15))**(-40))**(-1\/16) assuming i is positive.\nAnswer: i**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*f - b, 2786*f + 0*b + 488 = b - 708 - 4359 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1323889 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 621\/4 + -1307\/4. Let r = z - -169. Find the common denominator of 137\/168 and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1259249581 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 3*h**6 + 10*h**4\/3 + h**2 - 120*h. What is the third derivative of d(v) wrt v?\nAnswer: 2160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Suppose -y = 4*g - 20 - 88, -2*g + 210 = c*y. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471532.21 minutes in weeks?\nAnswer: 245.1916875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 - 341. Sort d, -5, -4 in increasing order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1588, -1582, -1578, -1576, -1576?\n\"Answer: -h**2 + 9*h - 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i. Let x(f) = f + 10. Let w be x(-10). Suppose r + w = -1. What is n(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 21390*y**2 - 42795*y - 21400 = 0.\nAnswer: -1, 4280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*c**5 - 2*c + 15?\nAnswer: -3180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + 30*v - 9*v + (7*v + 1 - 3 - 3*v)*(-4 + 4 - 4))*(-5*v**2 + 4*v**2 + 3*v**2) - 2 + 2 + v**3.\nAnswer: -13*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 3*s - 7. Let d be r(3). Let k be (-3194 + 1)\/(d + -3). Suppose -k = -w - 2*a, -3*w + 2*a + 13446 - 3843 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 + 6.68?\nAnswer: 6.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**3 + 7*p + 5. Let m(q) = 3*q**3 + 3*q + 2. Let h(l) = 5*m(l) - 2*v(l). Suppose 0 = 26*u + 59*u + 85. Let n(k) = k. Give u*h(g) + n(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04451041 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x + 42 + 6*x + 8*x.\nAnswer: -3*x + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-2*sqrt(78)*-4 - sqrt(78)))\/(-4*sqrt(216)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 14 - 8*k - 11.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - -2 - (-23 - -30)) + (-12 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.1. Let m = 456392.9 - 456393. What is the second biggest value in i, -7, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*m + 2*m**3 - 61*m**4 + 50*m - 2*m**2 - 2*m**3 wrt m?\nAnswer: -1464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176*-1.1\nAnswer: 193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10716\/1254 + 2*-4\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12231013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 10, j: 4, d: 1, f: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 27*a - 228. Suppose a*p - 7*p = -1. Which is greater: p or -4\/475?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -936, -1164, -1360, -1524?\n\"Answer: 16*w**2 - 276*w - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 19 - 5. Let r be 9\/(6\/(-2)) + c. Let i = 10 - r. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/1176*(5\/100)\/(2\/(-6)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/32*4\/3*(-36)\/192?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182077919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 12*i - 17*i - 5, -15 = -j + 4*i. Put 428, 3, j in descending order.\nAnswer: 428, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 138, 281, 430, 585, 746, 913, 1086?\n\"Answer: 3*j**2 + 134*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-3)\/(-2))\/3). Let n be (-6 + 0)*p\/6. Solve -3*o + i - 6 = -23, -i + 3 = n*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0534 and 0.03033?\nAnswer: 0.001619622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 2332 = 3*v + 12*f, 5*v - 3870 = 5*f. List the prime factors of v.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441\/153 - (-2)\/17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*s - 3 + 45*s + 25*s - 36*s)*(1 - 2 + 0) in the form u*s + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -165?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1*(-30)\/(-150). Is o smaller than 3\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, q: 2}. What is prob of picking 1 q and 3 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -725*o**3 - 25*o. Let a(g) = -121*g**3 - 4*g. What is 25*a(w) - 4*i(w)?\nAnswer: -125*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 251*m + 809. Let l(k) = 29*k + 64*k - 43*k + 163. Let u(z) = 2*i(z) - 11*l(z). What is the first derivative of u(x) wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50*(-3 - -276))\/(-1). Let b = t + -272937\/20. Let l = b + -11\/4. Calculate the common denominator of l and 37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 425685, 851340, 1276995?\n\"Answer: 425655*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 45073.09?\nAnswer: -45073.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001178477 rounded to 7 decimal places?\nAnswer: 0.0001178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 9:35 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 71781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:05 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*z + 35, -1879*y + 1877*y - 12*z + 84 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.302172 to zero dps.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/251 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126576589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330508, -660990, -991470, -1321948?\n\"Answer: d**2 - 330485*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 22 - 17*i - 9*i**2 + 5*i + 11 - 22. What are the prime factors of w(11)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(76) - sqrt(76)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 730 and 97455.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4441 - 4324. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:49 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -202, -642, -1408, -2590, -4278?\n\"Answer: -15*x**3 - 73*x**2 - 116*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 3*g - 17. Let r(s) be the first derivative of 6*s**2 + 9. Give r(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 5 (c) -5 (d) -4\/573 (e) 0.06 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383*u**2 - 1081*u**2 + 3552*u**2 + (2*u + u - 2*u)*(-u + 3*u - 3*u) to k + c*u**2 + f*u and give c.\nAnswer: 2853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 6*q + 4. Let z be p(6). Solve -z*a + 3*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o + 3 = 149*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27818 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -18*m**4\/11 + 2252*m**3\/11 - 194*m**2\/11 - 640*m + 5000\/11 = 0.\nAnswer: -2, 1, 10\/9, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 104*f - 4*f + 0*f + f + 108*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 11) to base 3.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 plus 44885.27?\nAnswer: 46529.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:11 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 3. Let i(h) = h**3 - 5*h**2 - 13*h - 1. Let m be i(7). Let f(w) = -9*w**2 + 5. Give m*f(y) - 10*n(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -1 + (-2 - -11) + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 9 = 14*m. Suppose -21*b - 2*b + 69 = m. Put b, -4, -12 in descending order.\nAnswer: b, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10614177479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/180 - 17*v**4\/12 + 42*v**2. Let t(y) be the second derivative of r(y). Let w(u) = -5*u**2. Determine w(t(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2915090 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/52*32*4. Calculate the highest common factor of q and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-7 - -2) + (0 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 79*v**2 - 44*v - 135. Let x be m(-40). Solve 14*c - x = 19*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 506.719 in 1\/7, 1, 0.3, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)*d*d\/d**7*d)\/((d*d**(-1))\/(d\/(d*d\/(d\/(d\/(d**(-5)\/d))*d))*d*d)) assuming d is positive.\nAnswer: d**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from hlhwwyhhwkyyyy?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + d = -27 + 6, 0 = 2*q - 4*d - 46. Let o be (0 - -2)*(-70)\/(-4). Suppose -o = -7*k + 2*k. Calculate the remainder when q is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 3)*(4*x + x - 12*x) to v + f*x and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let u(f) = -f**3 + 2*f**2 + f. What is the units digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -2, 4, 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 3*q + 3. Let i be 4\/(2\/1) - -3. What are the prime factors of m(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/775616146 and 29\/10?\nAnswer: 3878080730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 3, y: 2, z: 1, a: 1}. What is prob of sequence gy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2*sqrt(75) - sqrt(75)) + 5 + sqrt(75) + 2 + -3 + sqrt(75)) + -4 + -2)**2 + -4.\nAnswer: -1080*sqrt(3) + 3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1) - 1*-1. Let v(a) = -a**2 - 15*a + 184. Let m be v(8). Suppose -f + 11 = 3*n, -4*n = 3*f + f - 36. Solve -d*l - 17 - f = m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/3 - 158*k**3\/3 + 1378*k**2 - 44954*k\/3 + 175760\/3 = 0 for k.\nAnswer: 13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -396*y - 187585. Determine d(-474).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-15) - 17\/(-5). Let z be ((-36)\/15)\/(g\/(-15)). Let f(o) = o**2 - 12*o - 5. Let u be f(z). Put -4, -2, u in descending order.\nAnswer: -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29652, 118647, 266982, 474663, 741696, 1068087?\n\"Answer: j**3 + 29664*j**2 - 4*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/8 - 30\/120 - -5202?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2 + 7. Is -10\/9 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 4 + 0 + 4*n - n**2. Let m(z) = -z**2 - 12*z - 5. Let l be m(-11). Let f = -1 + l. Give u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 36 - (35 - 41).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Suppose 0 = b + 4*k - 19, 3*b + 5*k - 35 = -2*b. Let f be z(b). Solve f = v + 4*v - 2*a, 5*v = a + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*((-86)\/(-30) - (-9)\/(-45)). Solve -5*l = 5*p + t, 0 = -101*l + 106*l + 3*p + 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*a*p**2*r - a*p**2 - 10*a*p*r + 106*a*r**2 - 5*p**2*r**2 + 14*r**2 wrt r?\nAnswer: 212*a - 10*p**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5405 by 5370.\nAnswer: 1081\/1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178102 is divided by 1178093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 649.153 to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6975 or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 299. Let r(u) = 23*u. Determine r(j(y)).\nAnswer: 46*y + 6877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-313 - 418 + 43*s + 841 - 253 + (s - s + 2*s)*(3 + 3 - 4)).\nAnswer: 94*s - 286","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:43 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1452 and 120?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 4*w + 5, 2*r - 2*w = 8. Suppose 0*h + 6 = 2*h. Suppose r*p - 4*p = h*d - 57, 0 = 3*p + 4*d - 161. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3*u = 11*k + 15, 3*k + 3*u + 15 = 0. Solve 9*g - 5*g - 8 = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 56?\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 93, 113, 141, 177, 221?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(64)*1 - sqrt(4) - 1*(sqrt(64) + sqrt(4)))\/(sqrt(450) + sqrt(50) + -1*sqrt(6)\/sqrt(3))*4.\nAnswer: 24*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 14. Let r(b) = -b**2 + 20*b + 11. Let l be r(0). Let q be z(l). Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(-1008)\/(-1456)*-3*(-2)\/(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -153 (c) 4\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 - 10*l - 48. Determine c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/16))**28*(o\/(o*o**(-22)*o))\/(o**6*o) assuming o is positive.\nAnswer: o**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 114?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.3 in 1.8, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 49 - 101. Suppose -j + 17 - 117 = 3*x, -3*j = 3*x + 102. Let g = x + o. Is -30\/13 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 - 3*i**3\/2 + 9*i**2\/2 + 62*i. Calculate p(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51191.2 weeks in nanoseconds?\nAnswer: 30960437760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-12)*i)\/(i*i**3))**(2\/19)\/(i**(-10)\/i**(-2\/5))**(-46\/7) assuming i is positive.\nAnswer: i**(-42792\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*c = -455, 1221 = -4*d + 2*c + 775. Let i = 48 - 153. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13930367.\nAnswer: 11, 115127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 - 18)*(0*r - r + 5*r).\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 2*g + 17 + 35 - 52.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/18)\/((-1)\/3). Let g = -31 - -37. Let q(m) = g - 13 + 2*m + 7. Let d(v) = 2*v - 1. Give f*d(s) + 3*q(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3694 + -40684\/11. Find the common denominator of q and -27\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (-2 - -9) - 0) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 662154599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283090?\nAnswer: 2, 5, 28309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754791.\nAnswer: 17, 109, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21040556 - 3?\nAnswer: 21040553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009172658 to four dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*448.\nAnswer: -8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (28 - (-15 - (-65 + 19)) - (-2 - -1))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 29 + 97 - 71 = -11*n, -n - 3*f - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -11, 4, -27221 in descending order.\nAnswer: 4, -11, -18, -27221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j + 13*j - 216. Suppose -3*d + n = -2465, -2*d + 3*d - 807 = 4*n. Suppose -17 = -j*s + d. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 326, 3\/7, -1\/4, 58, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 896645 and 896543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (-1*sqrt(1584))**2)*5 + ((-2 + sqrt(44))*2 + -1)**2.\nAnswer: -7719 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s - 7. Let b(w) = w. Let v(g) = 5*b(g) - r(g). Let z be ((-23)\/(-69))\/(2\/(-42)). Give v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1536444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-225)\/800*(40\/(-12))\/(-5)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39318663?\nAnswer: 3, 2137, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2 (c) -366 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -22, -25, -28, -31, -34?\n\"Answer: -3*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -78. What is the remainder when 27 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*v - 6, b + 2 + 6 = -4*v. Let l(r) = b*r**2 - 3 - r**2 + 3. Let s(y) = 12*y**2. Determine s(l(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from {g: 2, m: 4, d: 8, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92653303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2268 and 943866.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95346.71 seconds to nanoseconds.\nAnswer: 95346710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2 - -22*7)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 14*s**2 - 22*s + 316. Let m be q(14). Suppose 1 = 2*r - 7. Solve -6*y + 13 = 3*j - 2*y, 3*y = -r*j + m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:15 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (8 + -2 + -13)) + 0 + 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 440 = 5*k, k - 4*k - 235 = 4*b. Let a = -64 - k. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7240 + -4423. Let q = l - 1094. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**3 + 2*f**2 - 1. Let r = -108 - -117. Let t be ((-6)\/r)\/(-1)*6\/(-4). Calculate v(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and 0.014.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3)\/k)*k)\/k*k*k*k*k*k**(1\/3)\/k assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1669*v - 6364. What is the lowest common multiple of l(4) and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 632620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*a - 16525 = -57. Let j be (-1 - (4 + 1))\/(-2). Suppose m - a = -4*y, -j*y = -0*y - 4*m - 139. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 7*k**2 - k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631629 take away 0?\nAnswer: 631629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 220, 450, 824, 1390, 2196, 3290?\nAnswer: 4720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13685548 - -70?\nAnswer: -13685468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38806518*m - 4037214*m + 1039867*m.\nAnswer: 35809171*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.19 - 9.14687. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 13*p + 2. Let j be k(13). Let s be 4\/(0 - j\/12). Calculate the remainder when 22 is divided by (s\/18)\/(2\/(-18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*h + 8, 5*h = -5*r + 3*h - 40. Let o(z) be the second derivative of -z**3\/6 - 1021*z. Give o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119.4 - 120.4. What is the smallest value in -9, 1, 5, v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.150113l in millilitres?\nAnswer: 8150.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 3*d = 3*n + 69, -6 = -2*d. Let m be 11 + (0 - 0 - -1). Sort n, m, 2 in decreasing order.\nAnswer: m, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (450\/750)\/((-3)\/(-65)). Let l(w) = -w**3 + 12*w**2 + 13*w - 1. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617 + 3617 - 6*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-978.\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l + 1. Let o(b) = 4*b**3 + 13*b - 4. Let k(n) = 9*m(n) + 2*o(n). Let i be k(0). Is 8 a factor of (i\/(-2)*1)\/(3\/(-372))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 > 383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 174*j + 167*j + 15402 - 15273. Let u(q) = -684*q - 255. Let z(r) = -5*n(r) - 2*u(r). Differentiate z(f) wrt f.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -829581*s. Let p(t) = -3*t. Determine n(p(x)).\nAnswer: 2488743*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 134286 and 134178 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 169, 2, 41, 0 in increasing order.\nAnswer: 0, 1, 2, 3, 41, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + i + 1. Let w be d(-2). Let q be w\/(-7) - (-6)\/14. Solve q*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) + (sqrt(104)*-2 + sqrt(104) - sqrt(104)) + sqrt(104))*-4*1)\/(sqrt(96)\/(-1*2*sqrt(12))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*o - 40 + 21 = -347 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -237*h. Let a(s) = -3078*s**2. Determine o(a(t)).\nAnswer: 729486*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 6 - (-4 + 67).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/9, -2, 8.1, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.05681 seconds in microseconds?\nAnswer: 42056810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -3.2\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 222680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -362*y**3 + 312*y**2 - 312*y**2 + (y - y + 1 - 2*y**2)*(-2*y + 39 - 14 + 3*y).\nAnswer: -364*y**3 - 50*y**2 + y + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (5 - 4)) + 2. Let f be (m - -1) + (-40)\/14. Which is the third biggest value? (a) f (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 479*u**3 - 154*u + 10*u**4 - 8*u**4 + 164*u - 480*u**3 - u**2 + 1 in the form v*u + j*u**3 + w + o*u**4 + k*u**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*l - 7 - 25, -3*i = 5*l - 51. Find the second derivative of -6 - 6*a**2 - l*a + 0 + 6 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (1 - 16\/2). Let n(d) = 2*d - 1. Suppose 0 = -8*a - 499 + 1355. Let r = 111 - a. Let k(s) = -3*s + 2. What is g*n(i) + r*k(i)?\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:37 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2859 * -3.\nAnswer: -8577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3826 - 1)*(2 - 3)?\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ae - 1b464?\nAnswer: -1b1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/3 + (-4)\/8 + (-135)\/(-27)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 397*f**2 - 14654*f.\nAnswer: f*(f - 34)*(f + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369230\/99 + -73179\/22. Let h = k - 404. What is the common denominator of h and -77\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:18 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(81*(-14)\/(-252))*3*25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -1\/2 (c) -23688 (d) 4\/5 (e) -3 (f) 0.3 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 - 858*h + 17603. What is o(79)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l**2 + 0*l**2 + (197*l**2 - 81*l**2 - 54*l**2)*(-2*l - 3 + 3))*(-9*l + l - 3*l).\nAnswer: 1386*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 590860*z**3 + 349122629632*z**2 + 206303542770663424*z\/3 + 2475190077886562304.\nAnswer: (z + 36)*(z + 590848)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -60. Let t(r) = r**2 + 11*r - 22. Let j be t(-13). Solve -j*u - 4 = -2*s, u + o*u + 23 = -5*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -7*n**3\/2 - 155*n**2\/2 - 45*n. What is the tens digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {s: 3, w: 1, x: 2, k: 6, v: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 34 = 5*o. Let d(c) be the second derivative of 0*c**2 - 2*c - 1\/2*c**o + 0. Let k(g) = 2*g**2. Calculate d(k(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:18 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(5) - sqrt(20)))\/sqrt(3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 10762941.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -102?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13740 and 27\/22900.\nAnswer: 68700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-10) - (5635\/(-25) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 10*r**2 + 0*r**2 - 7 - 16*r**2.\nAnswer: -3*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75.4 in 4\/5, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 - 2 - 11*p**3 + 1 - 5*p**3 in the form g*p + t + c*p**3 + o*p**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1 - 2*u + 94*u**3 + 1 + 0*u + u**2. Let r be z(2). Suppose 2*k - r = 4*f, 2*f - 6*f - 8 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 2*z + 8*z**3 + 5 - 14 as a*z**2 + s*z**3 + c*z + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let c be 4 + (r - -2) - 3. Let z(o) = 4*o + 4. Let y(k) = 7*k + 7. Give c*y(h) - 5*z(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20815 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**3 - 80*z**2 + 165*z**2 + 4*z - 86*z**2.\nAnswer: 28*z**3 - z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(4*(-2)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g - 10. Let j be y(-7). Suppose 2*t - 137 = -c, t - j*c - 58 = -c. Calculate the remainder when t is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 22 + 1 + 3. Suppose w = 2*f - 1150, -23*f + w = -25*f + 1138. What is the greatest common factor of v and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629559717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + 2 + (-2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0. Let h = 6 + 7. Let t = h + -9. Put p, t, 2 in increasing order.\nAnswer: p, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -7*d + 11 + 16. Factor 3\/4*o**3 + 3\/2 - 3\/4*o - 3\/2*o**d.\nAnswer: 3*(o - 2)*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 9) to base 7.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70132 is divided by 1149?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 - 5*n**4 + 4*n + 3*n**3 - 2*n**2 + 8*n**3 - 2 - 2*n**2 - 6*n to m*n + k + x*n**2 + a*n**3 + c*n**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46615125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12)*21\/((-735)\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 4*z + 3*z - 2*z - 2*z + 5*z + (z + 2*z - 2*z)*(2 + 0 - 1) + (2 - 4 + 0)*(-25 + 25 - 27*z) to o*z + d and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixieeie. Give prob of picking 1 x and 3 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -9 (c) -743 (d) 3\/11 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c + c)*(-3 + 3 + 3*c)*(0 - 3 + 5)*(578172*c**2 + 582379*c**2 - 1153949*c**2) as u*c**2 + r + n*c + j*c**3 + y*c**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from iitw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b178 (base 13) in base 7?\nAnswer: 1264403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 14738*g**2 + 1192338*g - 3709602.\nAnswer: -2*(g - 7449)*(g - 3)*(g + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55867448 and 193648.\nAnswer: 111734896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16416063 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -51b?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 502543 - 159983. Let s be 8 + -3 + 4 + 31631. Let c = s - q. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11289143 by -18.\nAnswer: 11289143\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2565*p + 1292*p - 2 + 1310*p + 2.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 605 = 295. Let j = a + -99. Suppose j = 5*n + v, 3*v - 111 = -5*n + 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1364 and 20.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.092 - 0.1. Let d = j + -0.0001. What is d rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -5. Suppose 5*l - 2*n - 5 - 1 = 0, 2*n + 6 = -4*l. Suppose 0 = -a + 7 - l. Calculate the remainder when x is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -467143, -467136, -467117, -467080, -467019, -466928, -466801?\n\"Answer: d**3 - 467144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 3. Let n = 41 - 28. Suppose 7 + n = 5*c. Let l(u) = -6*u**2 - 4. Let q(w) = c*l(w) - 5*z(w). Solve q(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*v, -4 = -2*j + 2*v - 16. Which is the smallest value? (a) j (b) 27 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000220835 rounded to 7 decimal places?\nAnswer: 0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let c(s) = 6*s**2 + 30*s - 1874. Calculate m(c(n)).\nAnswer: -6*n**2 - 30*n + 1874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + -182. Let t = z - -50. Let c = -3 + 5. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 34, 99, 164?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and -95\/71334?\nAnswer: 71334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12153.\nAnswer: 3, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8307 and 585?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-18)\/(-21))\/(6\/126) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -1.5854\nAnswer: -20.5854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -18, 3, 42, 99, 174, 267?\n\"Answer: 9*m**2 - 24*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22698 and 52962.\nAnswer: 158886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 25 + (-12 - (35 + -32 + 9))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3475 - 3352. What is the remainder when d is divided by 74?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936669 and 777612?\nAnswer: 41213436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/24 + 15\/(-2). Let d be (-1)\/2 - 4\/w*7. Suppose -d = t - 6. Solve -4*p + 9*r - 4*r = 45, -2*p + t*r - 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 14 = -11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**3 + 13*m**2 - 3*m - 7. Let f(x) = x**3 - x**2 + x + 1. Let r = -5 - -11. Let i(a) = r*f(a) + y(a). Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7984483*i**6 + 2423*i**2 - 18*i?\nAnswer: -958137960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2599, 2152, 1411, 376, -953, -2576?\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249065*j + 498083*j - 249068*j.\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10214425 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 15. Let y be 7 + -1*2\/2. Calculate the remainder when (-119)\/(-9) - y\/27 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/17184 and -107\/4475716.\nAnswer: 107417184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*v + 62, -4*v + v + 83 = 5*w. Let h be 5\/((-25)\/80)*(-324)\/w. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 50. What is the remainder when h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/7, 3\/2, 3, 14, 2\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/3))**34 assuming x is positive.\nAnswer: x**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3474)\/5790*555\/27\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 11*b**3\/6 - 55*b**2\/2 - 3271*b. Let f be 0 - (1 + -7*3). List the prime factors of z(f).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let b be g*3 + (-14)\/(-2). Let o = 18 - b. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35508345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4642*g + 4665*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14127629 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - ((-131365)\/765 + -2). Let d = b + -174. What is the third biggest value in 2\/5, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)*z**(2\/5)*z**(1\/4)*z**3*(z\/((z*z**1\/z)\/z))\/(((z\/z**(1\/9))\/z)\/z)*z*z**1\/z*z*z**(-3\/7) assuming z is positive.\nAnswer: z**(215017\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8410, 33633, 75634, 134383, 209850, 302005, 410818, 536259?\nAnswer: 678298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*u**3 - 91*u**3 - 93*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 75 = 33*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*o + 6 = l, -3*o + 4*l = -31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 24, 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332744 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-112)*(-1)\/2)\/(51*(-37)\/(-18870)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -639 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y + 2. Let m be x(0). Let t be (0\/2)\/(6\/m). Suppose 2*w - 8 - 14 = t. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -224 and -13638\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*f = -20, 3*f + 2 = 5*j - 13. Suppose q + 4*q - 20 = j. Suppose l - 3*t - 329 = t, q*t + 1003 = 3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-4)\/(-576)*(-30)\/45?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*k*n*q**3 - 1142*k*n*q - 7*k*n + 6*k*q**3 + n*q**2 + 10*n*q + 11300*q**3 + 3*q**2 wrt q.\nAnswer: 132*k*n + 36*k + 67800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m**(-10\/3))\/m)))**(-1\/10) assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 47. Solve -5*g - 9 + q = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6 = -4*k + 8*k, 6*z + 4*k = -24 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/15 - 8*w**5\/25 + 3*w**4\/5 - 8*w**3\/15 + w**2\/5 - 399. Suppose o(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 36*t - 90 = 0. Calculate the least common multiple of t and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300496 and 14304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -37\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -5 (c) 3\/5 (d) -3\/185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 9*q**2 + 12*q + 25. Let g be z(-7). Suppose -v = -38 + g. Which is the fourth biggest value? (a) 2 (b) -0.2 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 1054, 2200, 3804, 5866, 8386, 11364?\nAnswer: 14800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a + 2*a + i, 2*a - 5*i = -20. Suppose a = 2*v - 0*v. Suppose c + c + 5*l + 21 = v, c + l + 3 = 0. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.94 times 255054\nAnswer: -239750.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppiciii. Give prob of sequence idp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6395 - 6335. Which is bigger: 783\/13 or m?\nAnswer: 783\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691533206?\nAnswer: 2, 7, 13, 179, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1280\/(-6)*39375\/(-6). Round l to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/27 greater than or equal to 1.52421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = 5*z + 276 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.032 - 5.568. Let y = r - -5.1. What is the closest to 0.2 in y, 7, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*s + 7 = 0, 2*s - 5 = 5*y - 2*s. Suppose 0 = -4*j + 2 + 2. Calculate the highest common divisor of j and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -159, 74, 14 in descending order.\nAnswer: 74, 14, -2, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -137.5. Sort b, -0.5, -4 in ascending order.\nAnswer: b, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = s + 242, -3*u + 148 = -5*s + 3*s. What is the least common multiple of 645 and u?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(200)*-2.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -277 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 424692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3))\/j**(-9)*((j**1\/j)\/j)**(-4\/3) assuming j is positive.\nAnswer: j**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 1.8. What is the closest to -0.1 in -2, q, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 times -0.1394\nAnswer: 0.0142188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 5, -204?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/5*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54312022 and 22.\nAnswer: 597432242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five halves of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:16 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.653 + -3.553. Put -1\/5, s, -3\/8, 0.5 in ascending order.\nAnswer: -3\/8, -1\/5, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let o(u) = 2*u**3 - 2*u**3 + u**3 + 4*u**i + 3 + 5*u - 2*u. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 711, 1431, 2147, 2859, 3567, 4271?\n\"Answer: -2*n**2 + 726*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396))\/(4*(sqrt(176) - sqrt(11))))\/(sqrt(32)\/sqrt(4) + (3*(sqrt(50) + sqrt(2)) - sqrt(2))).\nAnswer: -sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 653355310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -36\/12445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -461\/5, -2, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1204 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 3*k - 22. Let u be m(-7). Put 1, -3, 46, u in decreasing order.\nAnswer: 46, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + b**2 + (2*b - 1 + 1)*(-3*b + 3*b + 5*b) + (5*b - b - 2*b)*(0*b + 0*b + 2*b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 135.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-110)\/(-11))\/(-2*1). Calculate the common denominator of (4\/14)\/(18\/(-70)) and (13\/(-91))\/(d\/((-2450)\/(-12))).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 12. Suppose -3*k = -4*v - 7, -4*k = -p*k + 2*v - 2. Suppose 3*m + 3*x - 8 = 5*x, -4*m + 8 = -4*x. What is the lowest common multiple of m and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4974424 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*212\nAnswer: 148.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-34)\/(c\/((c**(1\/4)\/c)\/c)*c) assuming c is positive.\nAnswer: c**(-151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -0.9. Let v = -2 + 1.9. Which is the nearest to v? (a) 3\/7 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 4, f: 10}. Give prob of picking 1 f, 2 d, and 1 s.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2594*q - 1293*q - 1299*q - 21*q**2.\nAnswer: -21*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*v = -580*v - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1277 and 59157?\nAnswer: 57880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(-5))**(2\/5)\/(((c*c\/(c*c\/c**(-4)))\/c**(1\/5))\/(c*(c\/(c\/(c*c*c*c*c\/(c*c**0*c)*c)))\/c)**(-10)) assuming c is positive.\nAnswer: c**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6035638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 3*w**2 - 4*w - 9. Let u(t) = -t**2 - 1. Let o(q) = 5*u(q) - v(q). Let p be o(-2). Solve 5*h - 3*a - 19 = -p*a, 4*h - 13 = -3*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 3 (c) -178 (d) 0.08 (e) -1\/3 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5045 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*d**3 + 792*d**3 - 766*d**3 - 738*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 + 0.263. Let a = -29.82 + 29. Let p = a + 0.72. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196d1 (base 14) to base 11.\nAnswer: -44490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*k - 78 = 0, -3*t + 5*t = 5*k + 156. What is the lowest common multiple of t and 2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -335*x - 18. Suppose 4*d = 4*p - 8*p + 4, 5*p - 26 = 2*d. Let c be (-3)\/(-9)*d - 4. Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -2*f + 1440. Suppose 0 = p + l - 34, 4*p + 3*l - 60 = f. Calculate the remainder when p is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 7*t + 11. Let k be w(8). Differentiate -3 + 0*f**k + f**3 + 0*f**3 + 5*f**3 wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 79121?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -5*d - 2100. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9 - (-60)\/(-9). What is the units digit of (u\/(-4))\/(6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/80*2)\/((-1)\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from vvvpvppffvvvvvpvpvv.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -224*s + 69*s - 54*s + 0 + 0*s - 2 - 3*s - 5*s + 3*s + s + (3 + 1 - 5)*(0*s - s + 0*s) - 5*s + s + 2*s.\nAnswer: -214*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 plus 79.44?\nAnswer: 79.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6340.76 centuries to millennia.\nAnswer: 634.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 + 102580*x\/9 - 6279706\/3 = 0.\nAnswer: -51473, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/40 + 59*v**5\/20 + v**4\/8 - 59*v**3\/2 - 348*v**2 + 3*v. Suppose z(m) = 0. Calculate m.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 360933*d = 0.\nAnswer: -360933, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.22, -9, 5, -0.2, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -175\/1501, -1\/9, 205?\nAnswer: -175\/1501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -69. Suppose -4*a + 8*a = p. Suppose 3*t - a - 93 = 0. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r**2 - 16*r + 34. Let t(l) = -l**2 + 4*l. Give k(v) + 4*t(v).\nAnswer: 18*v**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -12.3.\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(403\/390)*1\/33\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z - 4*z)*(4*z**3 - 4*z**3 - z**3) - 12607 + 68*z**4 + 12605 + 144*z**4.\nAnswer: 213*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5204087822 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71939537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 13203.58?\nAnswer: 13203.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11794897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/1851 or 1?\nAnswer: 13\/1851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qmojvjh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -535*a - 8106. What is the thousands digit of l(-59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16789.\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3298c - 34?\nAnswer: -329c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwzzzz. What is prob of sequence wzz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 147875452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 15. Let o = -16 - -24. Suppose -4*p - 260 = -o*p. What is the highest common factor of p and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 11) to base 9\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20598, 20424, 20250, 20076, 19902, 19728?\n\"Answer: -174*b + 20772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70991894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 21*h + 107. Determine d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -119. What is the third derivative of 339 - 339 - 28*r**2 - q*r**2 + 17*r**4 wrt r?\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x\/x**0))\/x)\/x)**40)**(12\/13)\/(x**(-2\/13)\/((x*((x**(2\/7)*x)\/x)\/x)\/x*x)*x**(2\/9)\/x**(3\/7)) assuming x is positive.\nAnswer: x**(-90191\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108) + (sqrt(108) + -2 - sqrt(108))*5)**2 - 5*-5*(0 + (sqrt(12)\/sqrt(4))**2).\nAnswer: -84*sqrt(3) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/12)\/(6 + -6 - 1). Is y not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 120 = 99. Suppose r*w = 90 - 125. Which is the biggest value? (a) w (b) 3 (c) 4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 325872 + -325793.00086. Let p = 15 + 64. Let n = p - h. What is n rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44c6c (base 15) to base 9.\nAnswer: -363123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Let t = x + -5.2. Let s = 3.67 - -0.33. Are t and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/4 + 43\/12. Suppose -3*d - 3*f = 18, 5*d - f = 2*f - 22. Let x = 5 + d. Is x != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9186.\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/9 and 8\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 382\/27 or 14?\nAnswer: 382\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3374492)\/30492 - -111 - (18\/(-11) + 2)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -12 - (2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -12 - 1 - (-3326 + 61)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71004108 is divided by 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1 + (-3 - 1 + 2)*(1 + 6 - 5))*(-8*a - 28*a + 9*a) in the form v*a + x and give v.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2154543, 2154535, 2154521, 2154501, 2154475?\nAnswer: 2154443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4 + 9*p + p**2 - 3*p + 2*p + 6. Let m be l(-9). Suppose -4*k - m = -83. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 898017661?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:00 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78*u**3 + 317*u**3 - 199*u**3)*(-15*u - 22*u + 27*u) to i*u + z*u**4 + t*u**2 + y + r*u**3 and give z.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -814859\/2 - -407430. Determine z so that 7\/2*z + 5 - o*z**3 - 2*z**2 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -40*w**2 - 3*w + 5. Let k(b) = 40*b**2 + 4*b - 6. Let l(v) = 5*k(v) + 6*x(v). Find the second derivative of l(p) wrt p.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:16 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5906957, -5906958, -5906959, -5906960?\nAnswer: -5906961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6236211 (base 7) in base 5?\nAnswer: -142431000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + -145 - (2 - -1) - ((65 - 6) + 8).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 123. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6206 and 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1328 - 585. Let n = 742.691 - u. Round n to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = 4*u - 0, 3*c = 2*u - 11. Let f(t) = -t**2 + 2. Let z(g) be the first derivative of g**3 - 7*g - 5. Calculate u*z(y) - 7*f(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 6, 25, -2.\nAnswer: -3, -2, -1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 15 = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30014.\nAnswer: 2, 43, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223.3 + -222. What is the second smallest value in -1\/6, -4, 0.4, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 5. Let j be h(-5). Let m be (-2 - j\/1) + 5. Suppose 2*f = -4*n + 36, -38 = -m*f + 2*n - 0*n. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Solve n - 14 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1364 or -50478\/37?\nAnswer: -1364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -63. Let y = 37 - -13. What is the greatest common factor of y and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.11m in centimeters?\nAnswer: 97711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2649 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 161990237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(((f\/f**(-4)*f)\/f*f)\/f)*f**(-1\/3)*(f**(-1\/3)*f)**(18\/11) assuming f is positive.\nAnswer: f**(-107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68566\/109259 + -2\/19281. What is the common denominator of i and -91\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 - a - a - 3*a**3 + (-a**2 - a**2 + 4*a**2)*(-5 + 2*a + 5).\nAnswer: 7*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 1. Let w(o) = -o**3 - 3*o**2 + 2*o. Let d be w(-4). Let m = d - 5. Let c be a(m). Solve -2 = 4*r - c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17888.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 64 - 16 = 4*x, 5*x - 123 = -3*m. What is the greatest common divisor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*(j**7*j)\/j*j**(-2\/11)*j**(-14)*j assuming j is positive.\nAnswer: j**(-233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 - 12)*(-8)\/(-5). Let v(o) = 96*o + 301. Is 46 a factor of v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/4 - 3\/(-12). Let h be -5*(3 - (-14)\/(-4))*14. Let y be 10\/h*(-1 - 1). What is the nearest to -0.1 in r, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15*(6\/(-4) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*v**4 + 2*v**3 - 21*v**2 wrt v.\nAnswer: -2376*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2493 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 160 = -5*s, -53 = -2*s - 0*t - t. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50234665 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3363\/(-708))\/((-2)\/648) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*2)\/(sqrt(10) + sqrt(80)\/(sqrt(16)\/sqrt(2))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8 + (-5 - -263))*(-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e49 + 8?\nAnswer: -e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -23.\nAnswer: 23.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, y: 3, t: 5}. What is prob of sequence tty?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 117 = -256 - 141 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Suppose 6*o = -9*o + 300. Suppose 14*f - o*f + 30 = 0. Solve -c = f*b + 2, -27 = 3*b - s*c - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224880 or -224881?\nAnswer: -224881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(128)\/sqrt(4))\/sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (843\/2810)\/((-1)\/(-32)). Factor -12\/5*q**4 - 68\/5*q**3 + 32\/5 - 24*q**2 - d*q.\nAnswer: -4*(q + 2)**3*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a5584 - -2?\nAnswer: -6a5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 + -340.1. What is the third biggest value in 4\/3, -4, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-6)\/724*-2). Let y = v - -61. What is the nearest to y in 2\/21, -0.5, -2\/3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182602819.\nAnswer: 7, 23, 1134179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494492843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12.46. Let o = d + -0.06. Let m be (0 - -1)*(-14)\/(-42). Which is the nearest to m? (a) -0.5 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 7*w**2 - 2*w + 6*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 7 - 2*j**5 + 7 + (-2*j + j + 2*j)*(2*j**4 + 7*j**4 - j**4).\nAnswer: 6*j**5 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370057 is divided by 36915?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 126127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Suppose -3*b - b + 20 = 0. Let a(j) = -8*j + 2*j + 25*j - 10*j - 1 - 10*j. Determine b*a(k) - 4*y(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2074*a + 2013*a - 2450 = 4037*a for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3159 - 1580 - 1594 + 9*w)*(-4 - w + 4 + 3)*(w - 3*w + w).\nAnswer: 9*w**3 - 42*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 - 2*g**2)*(2*g**3 - 5*g + 5*g) + (0*g**4 - g**4 + 2*g**4)*(-7 - 21*g + 7).\nAnswer: -25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 27*b**2 + 27*b + 28. Give h(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose f + j*f - 15 = 3*a, 4*f - a = 16. Suppose 0 = f*z - 36 - 9. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23970280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:38 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 45. Let m(o) = -14 - 11*o**2 - o**3 + 19 - 11*o + o. What is the remainder when w is divided by m(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*p - 0 - 4, 4*p - 8 = 5*i. Let l(v) = 6*v**2 - 2 + 2 - 8*v**p. Let d(r) = 2*r**2. Give l(d(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 11. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 6. Let i = 3 + 2. Suppose 0 = 2*h - i*c, c + c - 58 = -5*h. What is the remainder when 26 is divided by o(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**2*y**4 + 18*h**2*y**3 + 2*h**2 + 8244*h*y - y**2 wrt y?\nAnswer: -120*h**2*y + 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*105\/10*(-4)\/60.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -5*p - 5*l, 4*p + 138 = 5*l + 38. Let b be (-2)\/10 + 54\/p. Let x = b + 8. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, x: 3, d: 6}. What is prob of sequence dxxd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -17762.6057.\nAnswer: -17762.1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11)\/w*w*w**(-7\/4)*w)\/((w**(5\/3)*w*w*w)\/w*w)**(-1\/5))**(-4\/3) assuming w is positive.\nAnswer: w**(649\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, -5, 1\/5 in ascending order.\nAnswer: -5, 2\/29, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/5, -6, 1.82, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 2*g - 11*g + (-3 - 4 + 5)*(1 + 0 + 0)*(-6*g - 8 + 8) to v + l*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 - 80*h**2 + 68*h + 152 = 0. What is h?\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 17*h**2 - 14*h**2 in the form v*h**2 + y*h + i and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2388, -18965, -63900, -151371, -295556, -510633, -810780?\n\"Answer: -2363*h**3 - h**2 - 33*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -30*o**2 + 16*o**2 - 16*o + 16*o + 15*o**2. Let q(k) = 40*k - 72*k - 85*k. What is q(x(u))?\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 22298*d**3 + 200790*d**2 + 602478*d + 602532.\nAnswer: -2*(d - 11158)*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1526\/4353 - -25\/1451. Let w = -1.98 - 0.02. What is the fourth smallest value in l, w, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/11, 1\/9, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13794.5445 rounded to the nearest 10?\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = -4*p, 0 = -3*p - 5*m + 2 - 0. Suppose 2*c = -2 + p. Let x be ((-6)\/15)\/(c\/(-5)). Solve x = -q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81295.27 hours to minutes.\nAnswer: 4877716.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 + 246. Let z be ((-4)\/(-5))\/(23\/(-230)). Let b be (-1328)\/(-7) + z\/(-28). What is the highest common factor of r and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26795 and -9?\nAnswer: 26786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d73 + -4?\nAnswer: -2d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 - (3 + 0)). Let u(g) = -7*g**3 - 3*g**2 - 14*g + 13. Let d(n) = 8*n**3 + 4*n**2 + 17*n - 16. Let y(h) = 5*d(h) + 6*u(h). Determine y(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 96 = -18. Suppose -12 = 35*d - g*d. Let m be (-1)\/((-7)\/140) - 4. Solve -4 = -d*w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77337172403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**4 - 7630*q**3 + 1279720*q**2 - 70830880*q + 46654080 = 0. Calculate q.\nAnswer: 2\/3, 132, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 11*y**2 - 12*y + 14. Give c(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 707*k**4 + 484*k.\nAnswer: 8484*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -25*r + 8. Suppose 0 = -2*b + 4*s + 6 + 30, 4*b + r*s - 108 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -5\/18*d**4 + 0*d**2 + 1\/45*d**6 - 1\/10*d**5 - 4*d + 1\/63*d**7 - 2\/9*d**3 + 0. Find a, given that u(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 19*x + 75. Let n be m(-22). Suppose -6*v = -n*v + 9. Solve -3*h + 6 = 4*o, 10 = -v*o - 0*h + 5*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 - b**2 + 1. Let f be w(-1). Let s = 2 - 6. Let d = f + s. Which is smaller: -2\/5 or d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 716 = -24*s + 678 - 270 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -954*q + 65. Is g(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3\/2)*62\/93. Let x = -5 + 2. Suppose 2 = -4*j - 14. Sort x, t, j in ascending order.\nAnswer: j, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (95\/30 + (-2)\/4)*3. Solve -c = 2*h, 2*c - 4*h + g = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 10, v: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + -1*sqrt(77)))\/sqrt(7) + (-2 + sqrt(275))**2)*4.\nAnswer: -76*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11678488 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-644)\/154 - (-2)\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**4 + 3*f**3 - 39*f**2 - 3*f - 272. Let a(p) = -p**4 + p**3 - p**2 - p + 1. Let o(k) = 3*a(k) - s(k). Differentiate o(u) with respect to u.\nAnswer: -32*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 - -185. Suppose 3*o - 24 = -o. What is the greatest common factor of q and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 1\/6 (b) 0 (c) -30 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 + 40*u**2 - 911*u + 10362. Determine i(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/7 (b) 2 (c) -1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 11}. Give prob of picking 2 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -y + 267, -192 = -5*k + 3*y - 641. Is -3 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12291? (a) 7\/2 (b) 17 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 4*u + 116, -2*s - 4*u = -52. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696, 1351, 1956, 2487, 2920?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*c*x**3*y - 766*c*x**3 + c*x - 60*c*y - y wrt y?\nAnswer: 8*c*x**3 - 60*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s + 7. Determine q(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - -5.16. Let g be ((-2)\/75)\/(2\/(-10)). What is the smallest value in g, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 398748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-16) + (2 - 225\/(-110))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let v be u(-2). Suppose 0 = w + 2*w. Suppose w = -v*c - 2 + 8. Solve -2*m - 5 = -2*t - c*m, -t = m - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37801807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + n**3 + 2*n**3 - 2*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v. Let l(p) be the second derivative of -1\/20*p**5 + 0*p**4 + v*p**3 + p + 0 + p**2. Find the first derivative of l(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/243 and (-14)\/((-2268)\/963) - (-4 - -2).\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j - 2528 = 633 - 539 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13478707.\nAnswer: 11, 29, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4 + 10*l + 8*l - 16*l. Let f be r(0). Suppose -2*h - t = 3*h - 23, f*t + 13 = h. Solve -2*m + 4*n - 2 + 12 = 0, h*n + 20 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/27075?\nAnswer: -8\/27075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155992 and 30969.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/12 + a**3\/6 + 2*a**2 - 160*a. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*p**2 + 0 + (-p + 0*p + 2*p)*(62*p - 13*p - 5*p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (-1 + 1 + 1)*(-3 + 1 + 0) + 7 + 1 - 3)*(-425*z + 425*z + 209*z**3)*(0 + 1 - 2).\nAnswer: -1045*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-30)\/(-21))\/5*-7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 equal to 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3\/7 - 674*o**2\/7 + 14845*o\/7 + 428 = 0. What is o?\nAnswer: -1\/5, 28, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (-23 + 28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 46. Let q = 41 + -37. Sort q, 6, 3, t.\nAnswer: t, 3, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202934 is divided by 35374.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 4*c + 3. Let i be g(4). What are the prime factors of (-9 + 6)*(-20)\/i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.8 + -36. Let k = b - -1.2. Sort 0.1, -0.4, k in descending order.\nAnswer: 0.1, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14921 + 14691 = 20*j + 3*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 283*s + 1. Let u(m) = -2601109 + 2601109 - m. What is u(x(r))?\nAnswer: -283*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 30*i + 146, -449*p - 23 = -891*p + 443*p + 5*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37791499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4860933, -9721866, -14582799, -19443732?\n\"Answer: -4860933*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 654671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 19.75. Let z = 0.148 + k. Let v = z + 0.10267. What is v rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 814 + 3464*n + 812 - 2440 + 814 as a*n + k and give a.\nAnswer: 3464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 0*j**3 + 0*j**3 + (0*j + 0*j - 2*j - j + 2*j - 2*j + (1 + 2 - 2)*(-j + 2*j - 2*j) + 1 - 2*j - 1 + j + j - 3*j)*(j**2 - 8*j**2 - j**2).\nAnswer: 59*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 0) + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 18460 + 2260 = 0. Differentiate -3*g**3 - 2*g**3 + 579 - w - 10*g**2 with respect to g.\nAnswer: -15*g**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 + 1025. Solve -q*b + 24 = -1202*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(6\/(-21)*(-84)\/(-144)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -477354462*y**6 + 16291897*y**2 + 11?\nAnswer: -57282535440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3241296 and 4209.\nAnswer: 74549808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 178347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119724973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -108*w - 17061. What is s(-158)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m + 35. Let l(x) = -10*x + 34. What is 3*l(y) - 2*n(y)?\nAnswer: -2*y + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 46411 = -3934. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24*f = -27*f + 111, 3*b - 5*f - 103 = 0. Suppose -29*y = -b*y. Solve -6 = -2*o - x, y = -5*o + 2*o + x + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 12 = 5*n - 4*k + 22, -5*n + 2*k - 24 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 791158229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*g - 23, 0 = -2*g - 4*w - 5 + 1. Suppose -15 - 94 = -p + 3*b, -2*b + 408 = g*p. Round p to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, l: 14}. Give prob of sequence dddd.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/18968 and 23\/7280.\nAnswer: 17260880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:50 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -2*u, -3*s - 5*u = 43. Let k = s + 100. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0014 - -1.27\nAnswer: 1.2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from lkqss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 9. Let f = 19.2 + x. Sort 0.1, -0.2, f in ascending order.\nAnswer: -0.2, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 43*m - 118. Give h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 11.8\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/31851744 and 97\/7962936.\nAnswer: 31851744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 15*f**2 - 4*f - 18. Let o be d(-12). Suppose -4*z + g - 369 = 0, -4*g = -5*z - 3*g - o. Let j = 31 - z. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -j*v = l - 9, 0 = v - 5*v + 8. Suppose 6 = -4*m + l*m. Solve -5*z + x + 9 = -m, 0 = x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327\/5 < 780163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 89775.\nAnswer: 448875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 - 81\/135*38\/6. Let b(h) = 0*h**3 - 4*h**2 - h**3 + 3 + 0*h**3. Calculate b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 4*k = 12*z + 2, -2*z + 29 = 5*k for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2526*j**2 + 7923*j**2 - 2575*j**2 - 2302*j**2.\nAnswer: 520*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4144*h + 952 = 4200*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47593 or -47595?\nAnswer: -47595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 21*v**2\/2 + 23*v - 1. Is q(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/200 - p**5\/100 - p**4\/40 + p**3\/10 + 7*p**2\/2 - 10*p. Let t(h) be the first derivative of w(h). Factor t(f).\nAnswer: 3*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 3:17 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(144) + -4*sqrt(144) + sqrt(144) + sqrt(144) + sqrt(144))*4)\/sqrt(6))\/(-2*(4*sqrt(300) - sqrt(300))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586312.\nAnswer: 2, 83, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-6))\/(215\/(-129)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -27, -92, -213, -408, -695, -1092, -1617?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 15*f + 28. Calculate the remainder when 112 is divided by (7 - 3 - -2)\/(f\/(-10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -7. What is the second derivative of -1 - 2*g**3 + 4*g**3 + 3*g + a wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (10 + 11 + -54)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1286\/435143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 25154*w + 226467 = 0. Calculate w.\nAnswer: -9, 25163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 7 + -4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 18*l - 63. Let h be o(4). Solve 5 = i - 2*a, i + 4*i - h = 2*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25613132 divided by -4?\nAnswer: -6403283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -39. Let d(i) = i**2 - 5*i + 10. Let o be d(n). Let l be 6\/(-20)*(-5 + 3 + o). Put -8, -0.1, l, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.1, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 4. Let r be i(7). Let w(f) = f**2 - 4*f - r*f + 4*f + 5 + f. What is the tens digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f**3\/7 - 1244*f**2\/7 - 820*f\/7 + 412\/7 = 0.\nAnswer: -103, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Is -4 - (4 - (x - -927)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 0\/(-1) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15 + h**2 + 32*h**2 - 7*h**2 + 12*h**2 wrt h.\nAnswer: 76*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609779467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 smaller than 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 15*w + 40. Let n be c(-17). Suppose -3*f = -5*h + n*h - 35365, -3*f + 35373 = -3*h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-303)\/(-195) - (-21)\/(-15). Which is the second biggest value? (a) -9 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -0.2. Suppose -3*v = -l - 3, 0 = 5*v + 2*l - 12 - 4. Let t be (-7 - -3) + 34\/18*v. Which is the third smallest value? (a) 0 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11043 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(350) - (sqrt(350) - sqrt(350)*-2)) + sqrt(350))\/sqrt(7).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 60 = -4*m, 4*m - 80 = -3*f - 0. Is f a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624502 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30515 (base 7) to base 8\nAnswer: -16444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 34.4857 days?\nAnswer: 2979564480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 8:01 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*o + 30, 0 = 744*o - 739*o + d - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367 by 133159.\nAnswer: 367\/133159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 804170564 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*21\/(-91)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q - 8*q**5 + 8*q + 6*q**5 + 17*q**5 - 6*q**5 - 2*q**5 - q**5 - q**5 + (0*q**5 - 4*q**5 + 5*q**5)*(1 + 2 - 5).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97580041 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/2 + 1357819*z\/2 + 13577990 = 0.\nAnswer: -1357799, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((32 + -4)\/4)\/1. Let x = 14 - w. Solve 13 + x = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 72.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 0. Suppose f*p = 6*p. Solve 3*l = 2*g - p*l - 15, 4*g = -l + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*y + 269*y + 367*y - 864 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -2)*(-1 + 0). Suppose -4*u - 2*i + 430 = 0, -n*i + 429 = 4*u - 0*u. Does 36 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*b - 1 = -2*a, -4*a + b - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 707 (base 13) to base 16\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.3 + 14. Let h = -0.3 - u. Let s = h + 2.3. Which is the closest to -1? (a) s (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*17384.\nAnswer: 17384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 1. Let c(h) be the second derivative of -2*h**4\/3 + 4*h**2 - h + 4. Let l(a) = -c(a) + 6*i(a). Determine p, given that l(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7 + 7 + 3*l**2 - 5 + 3*l**2 + 2*l. Suppose 2*d = 7*d - 25. What are the prime factors of t(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -485, -1627, -3849, -7511, -12973, -20595?\n\"Answer: -60*n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41230 and 11780?\nAnswer: 82460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 + 5*t + 135 - 95)*(36*t + 34*t - 69*t + 26*t).\nAnswer: 135*t**2 - 3672*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 5*y + 3. Let w be z(3). Is ((-60)\/(-8))\/(w\/(-4)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t**3 - 3*t - 2. Determine k(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2\/7, 2, 943, 0.02, -82, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12557 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 46*o - 1 = -20*o - 25*o, -o = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 31\/5*h**5 - 33 + 0*h - 1\/3*h**3 + 0*h**4 + 0*h**2. What is the third derivative of z(m) wrt m?\nAnswer: 744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1376 + 46?\nAnswer: -b1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10*u**2 + 1 + 157*u - 47*u.\nAnswer: 10*u**2 + 110*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -67675.941?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12788.\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (372\/(-10695))\/((-1)\/(25\/(-30)))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114970 >= 114970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14910 divided by -2982\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cec when three letters picked without replacement from {x: 1, c: 4, r: 1, g: 1, e: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1133, 2256, 3379, 4502?\nAnswer: 5625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.227679 millilitres in litres?\nAnswer: 0.005227679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let v(s) be the first derivative of 5*s**2\/2 + 21. Let x(c) = -2*c - c - c. Let b(q) = -2*v(q) - 3*x(q). What is b(j(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53268, -106536, -159788, -213018, -266220?\n\"Answer: q**3 + 2*q**2 - 53281*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4056)\/(-1690)*(-190)\/104 - (9\/(-2) + 0).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/444 and 179\/60.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4746 (base 10) to base 3\nAnswer: -20111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1501 times 8.42\nAnswer: -12638.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 115 + 118 = 0. Suppose 5853 = 5*n + p*i - 1273, 0 = 3*i - 6. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2091483030 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (12 - -7) + 15 + -4 + -16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 40*j - 360. Let i be d(8). Suppose 0 = -i*z + 1770 + 17622. List the prime factors of z.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270*x**3 - x**2 - 197768*x - 781024874?\nAnswer: -810*x**2 - 2*x - 197768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.837 - 10.7?\nAnswer: -297.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-16)\/4) + 3. Does 10 divide ((-20)\/o)\/(3\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15925 - -84318. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {a: 4, w: 5, i: 3, p: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2699*x + 830077. What is v(-354)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*5*-5)\/(sqrt(121)\/(sqrt(11) + sqrt(66)\/sqrt(24))))**2.\nAnswer: 354375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-30))\/(4 - (-14)\/(-4)). Let z be (0 - -6) + 105\/10*(-80)\/135. Sort 1, z, c in decreasing order.\nAnswer: 1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28311*v**3 + 1 + 0 - 1 + 28303*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-25 - -13) + 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 36*j**2 + 8*j + 11. Let m(w) = -w**2 + w + 2. What is -5*m(u) + z(u)?\nAnswer: 41*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**2*u**2 - s**2*u + 87*s**2 + 83*s*u**3 + 5*s*u + 3*u**2 - 2*u wrt u.\nAnswer: 6*s**2 + 498*s*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxxooxoxx. Give prob of sequence xxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1220030120312?\nAnswer: -1220030120313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/48)\/((-11)\/(-484)*11).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s. Let m(f) = -15*f**2. Calculate m(q(t)).\nAnswer: -2160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/10*(-306)\/(-408).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 922927 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p - 148. Let t be s(-10). Solve -t = -3*d + 7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -631*r + 1888*r - 632*r - 629*r. Suppose 0 = 5*y + 3*i + 6 + 4, -4*y - 2*i - 6 = 0. Let j(s) = y - 1 + 3*s. Give j(t(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-5)\/(50\/52)*(18 + -78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c - 4*w - 4 = -59*c, -8 = -2*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -117.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3548399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2915 is divided by 57.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -73) + (94 + -108 - (-11 - -1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 48 = 52*z. Solve 3*b + s = -6, z*b + 8 = -2*b - 5*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5164 and 24.\nAnswer: 30984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 35\/9, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 113925 divided by -37975\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/141 and 5\/987?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 20*o**2 - 19*o + 5. Let s be j(19). Suppose 10 = 2*b + 2, -2*b = -s*t + 697. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/175 = 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 176?\nAnswer: 175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8, -2*h - 26 = -5*h - 5*o. Let l(j) = -j**3 + 10*j**2 + 7*j - 14. Let b be l(h). Let y = -142 + b. What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406 (base 9) in base 15?\nAnswer: -b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.9809635 rounded to two dps?\nAnswer: 76.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047684589 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49241828, -98483654, -147725480, -196967306?\n\"Answer: -49241826*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -55 (c) 0.5 (d) -0.5 (e) 35 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 42*t - 5*l = -45, 5*l + 46 = 2*t. Solve -7*j - 30 = -t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10511611*m**2 + 11611541 wrt m?\nAnswer: 21023222*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-4)\/(-10))*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150697 (base 11) in base 13?\nAnswer: 553488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1027 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.733 - 0.033. What is l rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5\/5 - 3546*v**4 - 12276408*v**3\/5 - 2275523262*v**2\/5 - 2263264581*v\/5 = 0?\nAnswer: -5143, -383, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.83 - 1.23. Which is the second smallest value? (a) -3 (b) 4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 15*m - 12. Let h(i) = i**2 - 7*i + 14. Let q be h(7). Let p be d(q). Suppose -3*o = -5*o, -p*o + 339 = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34733, -47168, -59603, -72038, -84473?\n\"Answer: -12435*c - 22298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261937549.9 rounded to the nearest ten thousand?\nAnswer: 1261940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782184009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 32. Let w = y - 6. Let u = 1 - w. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 22. Suppose -5*x + 57 = y, x = -y + p*x + 64. Calculate the remainder when (0 - 2) + y\/2 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 3133?\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 20 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -31*j**2 + 2*j + 3. Let w(m) = -46*m**2 + 3*m + 5. Suppose 0 = 15*q + 33 + 42. Let f(v) = q*w(v) + 8*d(v). Determine f(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235879, -471761, -707643, -943525, -1179407, -1415289?\nAnswer: -1651171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -594295 divided by -444\nAnswer: 594295\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -515369*u**2 + 666964*u wrt u.\nAnswer: -1030738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 30*a - 4. Let m(w) = w**3 + 8*w**2 + 10*w + 9. Let i be m(-6). Calculate the remainder when d(i) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10453642 + -33?\nAnswer: 10453606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 5 + 6)*(-2*l + 2 - 2) + (3*l - 3*l + 2*l)*(-2 + 3 + 2) - 3*l + 5*l - 4*l.\nAnswer: -78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (358 - 104) + -46 - 117?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 5*f - 3. Let q = -2 - 1. List the prime factors of s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 12 - 3. Let l be 31\/(1 - 0\/a). What is the greatest common divisor of 186 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:51 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86025 divided by 17205?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-36)*(-1)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128\/56 + 45\/63. Suppose 4*q - 14 = -34. Put b, -3, 13, q in increasing order.\nAnswer: q, -3, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 4*n**2 + 5*n + 8. Determine k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 29*x**2 - 2*x - 2. Let s(m) = 3131*m**2 - 217*m - 217. Let a = 5170 - 4953. Calculate a*t(b) - 2*s(b).\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/((-3)\/105). Suppose 3*k + 1 = -2*k - 2*x, -5*k + 3*x + c = 0. Solve -4*d + 7 = w - k, -5*d = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*s + 3*m + 32, -4*s + m = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 267*n**4*z**2 - 48*n**4*z + 915187*z**2 wrt n?\nAnswer: 1068*n**3*z**2 - 192*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 2 - -10 - (1 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1703, -1, -116, 86 in ascending order.\nAnswer: -1703, -116, -1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20532 (base 8) to base 6.\nAnswer: -103310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. Let f = -4 + u. Suppose 0 = s - f - 3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47245.\nAnswer: 5, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-4))\/(-3))\/((-143920)\/(-534560))\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + b**3 + 3*b**3 - 1 - 2*b**3 + 0.\nAnswer: 2*b**3 + 4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6)\/(-120) - (-1)\/(-4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*n - 2*n = 195, 63 = 2*a - 5*n. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 763796.1 years?\nAnswer: 7637.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb4 + -6?\nAnswer: -fba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 3*f**4 + 4*f**4)*(0 + 2 + 1)*(-f - 7 + 7) + (-2*f**2 + 7*f**2 - 10*f**2)*(f**3 - 2*f**3 - f**3).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*r - 38, -4*r = 5*y - 2*r - 49. Suppose -2*p - 125 = -3*d - y, 3*d - 123 = -p. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1018*-55.9.\nAnswer: -56906.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10906647 and 0.094.\nAnswer: 10906647.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 186?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.5. Let x = -13 + 17. Sort x, 0.4, i in ascending order.\nAnswer: i, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(475) + 1*sqrt(475))**2*-4*3*-3.\nAnswer: 2160*sqrt(19) + 68724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*f + f - 3839, -2*g + 1540 = -4*f. Suppose g = 2*w + 6*w. Suppose 0*n + 4*n = w. What is the remainder when n is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/3 - 3*w**2\/2 + 4*w + 8. Let v be r(2). Let -2\/3 + v*c**2 + 4\/3*c**3 + 0*c = 0. Calculate c.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.6 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + f + 1. Let n(s) = 4*s**3 - 5*s**2 + 5*s + 13. Let i(p) = n(p) - 5*z(p). What is the first derivative of i(y) wrt y?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeaaaamx. What is prob of picking 3 a and 1 x?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i)\/(i*i*i**(-2\/13)*i))\/(i**(-2))**(-28) assuming i is positive.\nAnswer: i**(-713\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51201 is divided by 5105?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, o: 7}. Give prob of sequence oro.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 202*d + 584. What is the hundreds digit of m(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2397389 divided by 2.\nAnswer: -2397389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -2375506?\nAnswer: 2375467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 13. Let b be p(-11). Let t = 39 - b. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -4, -191, 4 in descending order.\nAnswer: 169, 4, -4, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 270486308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 935, 6, 5 in decreasing order.\nAnswer: 935, 16, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 95117237.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 496 = -5*t + 2*b, 3*t - 2*b = -308. Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(50\/90)\/((-45)\/(-27)). Let g(r) = -6*r**3 + 4*r**2 + 11*r - 10. Let y(w) = 5*w**3 - 3*w**2 - 10*w + 9. Let l(h) = -6*g(h) - 7*y(h). Calculate l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = -4*s, 2*s = 2*k - 5*k - 10. Let w(i) = i**3 - 14*i**2 - 18*i + 7. Let q be w(15). Let m = k + q. Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 + 630 = 4*l + 2*x, l - 260 = -x. Suppose 5*s - l - 178 = 0. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1102 = -4*d, 2*d + d - 821 = l. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.4 + 7. Let t = -8.22 - a. What is t rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l - l)*(-1 + 3 + 1)*(214*l + 3*l**2 - 214*l - 50*l**4).\nAnswer: -150*l**5 + 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 = 3*a, 3*n + n + 4 = -4*a. Find w, given that -6*w**3 - 2 + 2 + w**n + 2*w**5 + 3*w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5060, 18882, 41908, 74138, 115572, 166210, 226052?\n\"Answer: 4602*y**2 + 16*y + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*6\/24 - (-11)\/(-7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffxffxffs. Give prob of sequence ffs.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 8*n. Let d be k(4). Let c be (-24)\/d*(-8)\/6. Suppose -v - 5200000 = 2*p, -c*v + 3*p = v + 15600000. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15897350279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**9\/30240 - f**8\/25200 - f**5\/60 + f**2. Let k(l) be the third derivative of y(l). Determine s so that k(s) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 6*w**2 + w - 7. Give s(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3740.284 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 21*x - 69 = 47*w, 5*w + 22 = -4*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 y, and 1 e when four letters picked without replacement from {x: 2, b: 4, y: 5, e: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. What is the closest to 2\/13 in 0.2, 0.3, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45.07093 days?\nAnswer: 3894128352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4\/7, -2\/7, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 2, l: 1, q: 2, a: 1, g: 2}. Give prob of sequence fl.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**2 + 9*g - 35. What is the tens digit of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 75. Let p be d(18). Suppose 137 = x + 4*u, -210 = p*x - 3*u - 606. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:29 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*d**2 - 198*d**2 + 87*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 28982429*j - 6. Let b be h(-1). Let o = 117118020751\/4041 + b. Let i = 2\/449 - o. Is i >= -21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oov when three letters picked without replacement from {o: 8, v: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 1)*(-t - 2*t - t) - 2*t + 0*t + 3*t)*(-3*t - 2 + 0*t + 1) in the form i*t**2 + m*t + c and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -206, -289, -372, -455, -538, -621?\n\"Answer: -83*b - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 5 = -17*o. Let m be (o + -6)\/(5 - 1 - 5). Let x be -14*(5\/(-35) + (-29)\/m). What is the highest common factor of x and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29007650 and 5025?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-45) - (-46)\/115. Let f = 2 + -3. Is q greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -699, -2252, -5285, -10290, -17759?\nAnswer: -28184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.8 + -21.6. Which is the third biggest value? (a) -15\/16 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3 + 2)*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 73*l + 151. Give h(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28650 (base 12) to base 10\nAnswer: 56220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 31 - 47. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-2*c + 0 + 0) + (-3*c + c + 3*c)*(1 + 12 + 1) - 3*c - 2*c + 3*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36511, -146032, -328563, -584104, -912655, -1314216?\nAnswer: -1788787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {p: 1, j: 1, b: 2, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:26 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -9)\/((-1)\/12). Suppose y = -b + 5*b. What is the nearest to 0 in b, -1\/7, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 - 1 = 0. Suppose -x*y = 2*y + 30. Let l be ((-7)\/(-1))\/(y\/(-36)). What is the highest common divisor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33091 by -4.\nAnswer: 33091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 19, -3\/90074, 2?\nAnswer: -3\/90074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7590 = 14*s - 11*s. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -c + 40, 4*g = 2*c - 4*c + 88. Let r = 226 - 224. Suppose r*u = -30 + c. Solve -u + 1 = 5*q - 5*x, 3 = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11877 + 11877. Solve r = -3*v - 15*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*v**2 - 173*v**2 - 340*v**2.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 11:52 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = -2*w, -o + 2*w = -10 + 1. Solve -5*p = f - 3, p - 2*f + 6 = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -147144*j - 2. Suppose -9 = 2*o - a - 2*a, 0 = -4*o + 4*a - 16. Let c be u(o). Suppose 0 = r + c + 158570. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 5:12 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 42. Calculate the remainder when f is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - -2.7. What is the closest to -1 in -4, r, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8593 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -42. Solve 3*l = 6*l - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.42761910705 and 0?\nAnswer: 0.42761910705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:04 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*l + 6*l + 751 = -383*l. Let a = 1.1 + -1. What is the second smallest value in 4, 23, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2907*d = -5801*d + 2904*d + 190 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {v: 2, c: 10, l: 5, h: 3}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.7938 millilitres in litres?\nAnswer: 0.5767938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320860929*p**5 + 3*p + 168137920 wrt p.\nAnswer: -6417218580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/(6\/8). Find the second derivative of 0*v**u - v + 17*v**2 - 9*v**2 - v**2 wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:37 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 418867083037.2\nAnswer: -418867083053.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(13\/4)\/(u**(-1\/3)*u)*((u*u**(1\/10))\/u)\/u**(-1\/2) assuming u is positive.\nAnswer: u**(191\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2576442*m*s**3*t + m*s*t + 2626*m*s - s**3 - 994*s**2 with respect to t.\nAnswer: 2576442*m*s**3 + m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3378, -5440, -7502, -9564, -11626?\nAnswer: -13688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-four fifths of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106a00585 + -1?\nAnswer: 106a00584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1529, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541058 divided by 6.\nAnswer: 270529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7634, -7638, -7654, -7688, -7746, -7834, -7958?\nAnswer: -8124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) - 2*sqrt(171)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.73 - 157. Let y = w - 4.73. Which is the second biggest value? (a) y (b) -1\/4 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**3 + 6*w**2 - 236*w?\nAnswer: -6*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 5*x + 5*b + 11, -136 = -3*x + 4*b. Calculate the remainder when 141 is divided by x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/10 - (3 - 7\/2). What is the hundreds digit of (m - 3580\/(-24)) + (-4)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.17 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.26 and -95.\nAnswer: -95.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x**2 + 18252*x - 514076. What is d(840)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6 - 9088\/(-768). Solve -6*z - b = -18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 768.391 + -872.1. What is n rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 414939214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + s)*(-626*s - 651*s - 2713*s).\nAnswer: 3990*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - u + 140, 0 = -i + 2*u - 2 - 48. Let l = -81 - i. Let w = -24 - l. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.7 (b) 2 (c) -1\/7 (d) -6 (e) 0 (f) 1\/9 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/740 and 73\/100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*y + 2569 - 2785. Let j = 6 + -1. Let g = 16.13 - 16. What is the biggest value in g, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -11 + 11 - (1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -2\/29, -0.037, -3\/8, -8\/5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17717.35ml in litres?\nAnswer: 17.71735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2518.9 to the nearest ten.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 486144*c*r*w - 290*c*r + 510*c with respect to w.\nAnswer: 486144*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l - 1. Let j be 3 - 7\/(-2)*(-24)\/21. Let c(p) = 6*p**2 - 4*p + 4. What is j*c(i) - 4*v(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 916, 406, 1 in decreasing order.\nAnswer: 916, 406, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -36.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3649120 and 23\/48122770.\nAnswer: 769964320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -0.14, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 24 = 2*t - 2*l, -5*t = -l - 43. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(39)\/sqrt(3)*1 + 3)**2.\nAnswer: 6*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 + 9 = 0. Let f = 10\/217 + -212\/3255. Let a = f - 101\/210. Sort x, 0.1, 2, a in descending order.\nAnswer: 2, 0.1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(2\/9)\/k)\/k*k*k\/(k*k\/(k\/(k\/(((k\/(k\/k**5))\/k)\/k))))*k*(k*k\/(k*k**(-2\/25)\/k))\/(k*k*k\/(k*((k*k**(-3))\/k)\/k)))**(-13) assuming k is positive.\nAnswer: k**(2041\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13848*y**2 + 27347*y**2 - 13496*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 2738639?\nAnswer: -76681892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29886769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(66)\/(sqrt(33)\/sqrt(3))))\/(sqrt(441) + sqrt(441) + sqrt(441)*-2*4 + sqrt(441)))**2.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -389 - -389. Put b, 1, -6, -1 in descending order.\nAnswer: 1, b, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 551, 547, 541, 533?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/22 - -2239*(2601\/(-187) - -14). Are k and 72 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 111\/(-3)*(-2 + -3). Suppose -2*z - h = -859. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349017997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36776089 and -1?\nAnswer: 36776090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-704)\/(-72) - -7) + -10 - (-4)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n + 13*n + 2*n**3 - 26*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2200*i + 102. Is c(3) a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 47672882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3520 is divided by 220.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7580 - 7583 = 0, -3*d = m - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2238432.\nAnswer: -2238415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*v + 4, -2*v - 2 = 2*f + 14. Let k be 34\/(-18) - -2 - 152\/72. Put 19, f, k, -1 in increasing order.\nAnswer: f, k, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 + -5 + 4 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -892 + 914. What is the highest common divisor of a and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387638 = g + 15*g - 1374198. What are the prime factors of g?\nAnswer: 2, 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-6))\/(1\/(-3)). Let t = k + 33. Suppose 21 = m + 5*w, 0 = 40*m - 46*m - 3*w + 72. Calculate the greatest common factor of m and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34677 (base 10) to base 6\nAnswer: -424313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:51 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 987793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 12*i - 17. Let k(f) = f + 34. Let h be k(-11). Suppose u = 2*b + h, -68 = 5*b + u - 0*u. Let r be s(b). Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12118872 or -36356617\/3?\nAnswer: -12118872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 120 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/6 + r**3 + 10*r + 4. Factor m(d).\nAnswer: -2*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/18*q**3 - 1\/6*q**2 - 2*q + 1\/36*q**4 + 0 + 1\/60*q**5. Let z(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 11. Let l = 1434 - 1430. What is t(l)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 46*w. Let k(x) = 2*x**2. Give i(k(c)).\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5767041 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -38*q. Suppose q*z - 4*c + 191 = z, -198 = -z + 3*c. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - o**2 - 1754 + 1754. Let p(r) be the third derivative of -r**5\/4 + 7*r**2. Determine h(p(m)).\nAnswer: -675*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*t - 35 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**6 + 85*z**5 + 448*z**3 + 37647*z**2 wrt z.\nAnswer: -240*z**3 + 5100*z**2 + 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 65, -1\/19, 0.5 in decreasing order.\nAnswer: 65, 0.5, 0.2, -1\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 327522528 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*a - 17 = 0, 2*t + 5785 - 5814 = 5*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27349732.\nAnswer: 2, 97, 70489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -24 + 1 + (-7 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 2*a + 2*a. Suppose 3*n = n + 58. Let t(i) = -n*i + 52*i - 25*i. Calculate s(t(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18892184.\nAnswer: 2, 1103, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12745 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11619, 14068, 16517, 18966, 21415?\nAnswer: 23864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-2 + 4 - 1)*(1 - 3*i**3 - 1) in the form y*i + h*i**3 + s + p*i**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(3*9\/(-270))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375006, -749245, -1123484, -1497723, -1871962?\nAnswer: -2246201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19234 and 3387466.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlbhqlzqr. Give prob of sequence rqhl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 32 - 3\/(9\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/(-6)*(-198)\/44. Suppose -162 = 2*p - 0*p. Let s = x - p. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*f - 20*f**5 - 47*f**5 - 13*f**3 - 21*f**3 + 2 + 30*f**3 wrt f?\nAnswer: -1340*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30965 and 180785?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19038488 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/63 and -71\/612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*o - 5*p - 18, -o = -p - 20. Calculate the remainder when 39 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 522*t**2 - 10090*t + 215. Calculate s(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -585 divided by -3907\nAnswer: 585\/3907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(300) - 1*sqrt(300)*5) + sqrt(300)) - -1*(sqrt(300) + 5*(-2 + sqrt(300))))**2*-1.\nAnswer: -67600 + 3000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:07 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 + 166. Which is the smallest value? (a) d (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1057, 1258, 3573, 5888, 8203?\n\"Answer: 2315*o - 3372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 - 30*i - 156. Determine p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23132, 41296, 59460, 77624, 95788, 113952?\n\"Answer: 18164*r + 4968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16972 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39624, -39611, -39598?\n\"Answer: 13*s - 39637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Let g = t + -2. Differentiate 4 + 0 + h - g wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 89 = -4*s. Let n be (s + 16\/(-6))*(-9)\/15. Let z = -0.3 + 0.5. Put z, -11, n in descending order.\nAnswer: n, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -254641.3 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 13941*s + 11041621. Give x(843).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -30 + 11*v**2 - 23*v + 3 + 8*v + v**3. Let r(m) = m**2 - 41*m - 345. Let a be r(-7). What is the tens digit of u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 5. Let p(s) = s**2 + 6. Let m = 73 - 77. Let z(a) = m*p(a) - 5*r(a). Suppose -4*c + d + 16 = -3*d, 0 = c + 2*d + 5. Calculate z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.41522 nanograms in grams?\nAnswer: 0.00000004341522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + v - 22, -6 = 4*x + 8*v - 3*v. What are the prime factors of 40\/((-350)\/(-87) + x)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24920 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2))**2 + -2 + 4 + -1*sqrt(2) - ((1 + sqrt(8) - sqrt(2)) + ((sqrt(8)*-1)\/sqrt(4))**2).\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r**2 - 4*r - 9. Suppose 22 = -5*v + 7*z - 3*z, -2*v + 4*z - 4 = 0. Let t be x(v). Let l = t + -11. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:19 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10488001819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*y**2 - 3)*(3*y - 4*y - 3*y) + 3*y**3 - y**3 + 0*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/(-14) - (-422554)\/1001. Let z = b + -422. What is the biggest value in z, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*f**2 - 1387*f**2 + 677*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4067426 is divided by 4067412?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + (-200)\/(-110)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c07 + 1?\nAnswer: 7c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, -62 in descending order.\nAnswer: 5, -0.5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + w - 3 - w - 5*w. Let c be h(-6). Suppose -m + c = 3*u, -m = 5*u + 4*m - 105. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109.9 - -110. What is the nearest to p in 0, -0.5, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16110786 is divided by 3222147?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -15159053?\nAnswer: 75795265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**3 - 2*r**2 - r + 2. What is t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804629?\nAnswer: 7, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02 + 0.02. Let m be 36\/12 - (0 - (-13)\/4). Which is the biggest value? (a) 0 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnq when three letters picked without replacement from nnqnnqqnqn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 5 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 0 + (2\/(-4) - (-19)\/2). Put 4, -494, f in descending order.\nAnswer: 4, f, -494","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 40, -71 - 594 = -5*h + 5*r. Solve 146*w + 15 = h*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 8*h**2 - 167581*h**3 + 83815*h**3 - 13*h**2 + 83748*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2093029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 4) in base 7?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmc when three letters picked without replacement from {c: 2, m: 1, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceye when four letters picked without replacement from {n: 2, c: 4, e: 4, y: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 28*w**3 + 6*w**2 + 3*w. Let v(g) = g**3 + g**2 + g. Calculate k(t) - 6*v(t).\nAnswer: 22*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6332 and 692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 31*a + 138. Give h(22).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*p + 460*p = 293 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258190 + -3.\nAnswer: -258193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 80*r + 856 = 1564, -g + 32 = 4*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*q**3*t**3 + 12*q**3*t - q*t**2 - 94*t**3 wrt q?\nAnswer: -168*q*t**3 + 72*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*12\/294 - 1064\/(-49). Let s(m) = -m**2 + 21*m + 25. Calculate s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.386 - -1.89. Let r = g + -0.004. Which is the biggest value? (a) 3 (b) r (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(77)\/sqrt(7) + -2 + -5 + 4.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3763777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*sqrt(7)*-1.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 11, b: 8}. What is prob of sequence lpl?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.357 + 4.467. Let w = -0.11 + z. Let t(l) = l**2 + 79*l + 1375. Let p be t(-26). Which is the third smallest value? (a) -1 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*u + 3 - 427*u + 1984*u + 2052*u - 27*u.\nAnswer: 3066*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 24ef55?\nAnswer: -24ef52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.795 + 29. Let x = 0.464 - 0.81. Let j = u + x. What is j rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 4*q + 0*q)*((0 - 3 + 4)*(-1 - 1 + 1) - 1 - 2 + 4 - 2 - 1 + 4) to p + a*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126785386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 + 1 = 0. Find the third derivative of 4*n**w + 3*n**3 - 11*n**3 + 5*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 25. Let l be w(-10). Let a be l*2\/20*6. Solve -a*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (10 + 0 + -3 + -7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose 5*m = -n*t + 74978, 8*t - m - 124954 = 3*t. Suppose 5*q = 3*y - t, -2*y + 4*y + 25006 = -5*q. What is q rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z + 220. Calculate g(-18).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 2)*((-2 - 2 + 1)*(-l**3 + l**3 + l**3) - 4*l**2 + 5*l**3 + 4*l**2 + 2*l**3 - 2*l**3 + l**3 + (0 - 2*l**2 + 0)*(0 + 2*l + 0)).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 687 + -4633. Is q*(-2)\/1 - -1*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*x - 7*y + 1, 3*x + y - 8 = 0. Let i = 52 + -53. Sort 2, x, i in ascending order.\nAnswer: i, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:55 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8146493 centimeters to micrometers.\nAnswer: 8146.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 3\/10, -0.1, -12, 3\/7, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7904281 millilitres?\nAnswer: 0.0007904281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1141300552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0 - 5\/12*t**4 - 3*t + 0*t**2 + 0*t**3. Let o(c) = -c. Determine o(d(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 + 4. Let l be u - 2\/3*3. What are the prime factors of (34 - l) + 84\/(-21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 742*k**2 - 14*k - 12. What is the hundreds digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + y + 2. Let l be q(0). Suppose 3*z - 3*w + 51 = 0, -4*z + 85 = -9*z - 4*w. Let p = z - -26. Solve -l*r - p = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 2*k - 1. Suppose 16 = q + 3*q. Calculate the remainder when o(2) is divided by (-11 + 2)*q\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 6*l**4 - 1 - 5*l**4 - 1402*l + 1404*l + 2*l**2 - 4*l**3 in the form q*l**3 + o*l + m + i*l**4 + h*l**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(1235\/(-10)) + (885\/95)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*((2*n - 4 + 4)*(-1 + 4 - 2) - 4 + 4 - n)*(-n**2 - 2*n**2 + n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + 14. Let x be 4 - 15\/((-4)\/(-12)*3). Let q = x + y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0766415 + -0.180252.\nAnswer: -0.1036105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 11:34 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5608 - -87.5.\nAnswer: 5695.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 6*v**2 + 73*v + 6. Determine o(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283 + 287. Suppose -3*u - 3 - 3 = 0, -f*v - 4*u = -1368. Is 43 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2257*u - 180554. Give k(-80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 117?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5. Let p be y(0). Let n(z) = -z**3 - 8*z**2 - 66*z - 527. Let r be n(-8). Is 6 a factor of (-23)\/(-1) - (r + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let c = 14 + q. Calculate the smallest common multiple of c and 4\/(-6) - 52\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and (8\/6)\/2 - (-24)\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/(-24))\/(-11))\/((-30)\/18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*-7*4\/(-28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - (10 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 7*b**2 - 5*b + 8. Let x = -188 - -182. Give f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-177)\/(-6)*(-235)\/(-470)\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 3*z + 9, -8*f + 7*f = z + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f - 1. Let d be a(-4). Let c be 0\/4 + (d - -3). Let g(o) = -o**c - 20*o**3 + 2*o**2 - 8*o + 2*o + 5*o. What is g(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209045759 + 18445759. Round n to the nearest 1000000.\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44923 times 0.8521\nAnswer: 0.382788883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**8\/s**(1\/2))\/((s**(-3\/7)\/s)\/(s*s**10)))**21)**(-24) assuming s is positive.\nAnswer: s**(-10044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271423956.\nAnswer: 2, 11, 31, 101, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:16 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p + 3. Let r be t(0). Solve 6*c = 3*c - r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 6*a**2 + 4*a - 2. Let n be f(-5). Let c be n\/(-3) + 2 + -1. Suppose 6*d - p - 24 = d, -p - 4 = c. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -0.1, -1\/5, 5 in descending order.\nAnswer: 5, 3, -0.1, -1\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*m - 23, -s = -14*m + 2*s - 111 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26*g**2 + 2*g + 6. Let r(m) = 9*m**2 + m + 2. Let v(s) = -2*a(s) + 7*r(s). What is the remainder when v(-2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*s**3 + 5)*(0 + 0 - s**2) - 3*s**5 - 2*s**5 + 4*s**5 + 236*s**5 + 553 - 553 + 92*s**5.\nAnswer: 329*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - n**2 + 8*n - 6*n**2 - 5 - 3*n**3 + 2*n**3. Let z be -15*-6*(3\/10)\/(225\/50). Determine g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (12 - (2 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117274 and 1337.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8586 and 12429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snnnsnnsssnn. What is prob of sequence nnss?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94930340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b908a + 5?\nAnswer: b9092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-5))\/(7\/(35\/(-4834))). Let z = j - 219945\/9668. What is the common denominator of z and 2\/(-3) - (-2)\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 8*r - 11. Let t(l) be the second derivative of -l**4\/12 + l**3\/2 - 2*l**2 - 906*l. What is 6*s(w) - 17*t(w)?\nAnswer: 5*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 16, 27, 40?\n\"Answer: f**2 + 6*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/3 + 151*i**2\/3 + 910*i = 0.\nAnswer: -130, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*a**5 + 515*a**2 - 46145*a?\nAnswer: -1380*a**3 + 1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 - (5 - (99 - 9)). Which is greater: 49 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463637194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -751.6? (a) -21 (b) -5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/3 - 36*u**4 - 448*u**3 + 3136*u**2\/3.\nAnswer: -2*u**2*(u - 2)*(u + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25449.\nAnswer: 3, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 140761 (base 9) to base 6\nAnswer: 1501431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 143*u**2 - 32*u**2 + 2*u + 0*u + 0*u.\nAnswer: -174*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 155, 15.\nAnswer: 2, 5, 15, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 170, 239, 312, 401, 518?\n\"Answer: 2*v**3 - 16*v**2 + 111*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 5, -57\/35, -5 in descending order.\nAnswer: 5, -57\/35, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 875636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 3*n)*(-2*n**4 + 2*n**4 - 2*n**4) - 6*n**5 + 40*n - 40*n + (n**3 + 2*n - 2*n)*(5*n**2 - 5*n**2 + n**2).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -15, -30?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78.1 + -78. Let r = 40 + -37. What is the closest to c in -4, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -208*n**3\/3 - 43*n**2\/2 - 2*n - 82. Find the second derivative of w(b) wrt b.\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*1 - (-8 + -1). Let o = 41 - u. Let l = 55 - o. What is the remainder when 37 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -5, -1, -0.4 in descending order.\nAnswer: -2\/17, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101, -205, -305, -401, -493, -581, -665?\n\"Answer: 2*g**2 - 110*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 225777060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 660 + -625. Solve -5*j + 12*j = -i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58561 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 x be (2\/1)\/(7\/(1 - -6)). Suppose -s + 68 = -c, 5 = -3*c + x*c. What is the greatest common divisor of s and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17134 - 17115. Solve -m*q - 2*g = -24*q + 19, -q = -3*g + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(7*u - 25*u + 12*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 3*c + 19. Let l be g(5). Let a = -26 + l. Let s = 66 + a. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 7*n - 6. Let f be v(-5). Suppose 0 = f*a + a. Suppose a = 3*h - 0 - 9. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50808 is divided by 128.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217183*g**3*y + g**2*y + 4*g*y + 981 wrt g?\nAnswer: -1303098*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 - 34*l**2 + 32*l**2 - 1361 + 31*l - 16*l.\nAnswer: -2*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 7*q - 9. Let u(c) = -3*c**2 + 11*c + 14. What is 8*f(n) + 5*u(n)?\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**4\/7 - 540*h**3\/7 - 16052*h**2\/7 - 82164*h\/7 - 116280\/7 = 0?\nAnswer: -95, -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8822 + 8825. What is the closest to 0.1 in 4, -2.02, a?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 41381254\nAnswer: -16552501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.057, -0.3, -2\/9, 0, 0.05 in decreasing order.\nAnswer: 0.057, 0.05, 0, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/2)\/3*(-432)\/(-486)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.246*-0.09\nAnswer: -0.11214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 4*c + 6. Let w be o(4). Let m = w + -3. Solve m*s = -2*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966776517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 44*v - 669. What is t(36)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**4 + 0*g**2 + 13\/42*g**7 + 5\/3*g**3 + 0*g**6 + 0*g**5 + 0 + 22*g. Find the second derivative of r(h) wrt h.\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35)\/15 + 3)\/((-46)\/6). What is the nearest to -2\/5 in 30, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 27993*s + 559821. Calculate w(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 114. Suppose q - 17 = -3*v, -a*v = -3 - 7. What is the derivative of 26*k + 43 + q*k - 3*k wrt k?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2729 + 1857 = -30*w + 10168. What is the lowest common multiple of w and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 28*x + 16*x - 84 - 8*x**3 + 3*x + 77.\nAnswer: -8*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -407 + -8561?\nAnswer: -8968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let m = n + 2. Which is the third smallest value? (a) m (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6285406, 6285378, 6285344, 6285304, 6285258, 6285206, 6285148?\nAnswer: 6285084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 338, 143, -110, -409?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -337, -775, -1295, -1897, -2581, -3347, -4195?\n\"Answer: -41*d**2 - 315*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209044639 to the power of 1\/2, to the nearest integer?\nAnswer: 14458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What are the prime factors of (-50)\/3*(-9)\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 75662380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 28807500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*z = -1067*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(8\/3)*j*j**8)\/(j**(-8)*j**(1\/5)\/j*j))**(-1\/5) assuming j is positive.\nAnswer: j**(-292\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 1. Let t(m) = -m**3 - 6*m**2 + 1. Let c be t(-6). Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12837, -12842, -12851, -12864, -12881, -12902?\nAnswer: -12927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - z - 2*z**2 - 3*z**2 + 5*z**4 + 27*z**3 - 1 - 24*z**3 to the form l*z + u*z**4 + j*z**3 + m + g*z**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 182 + 182 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -120*m**2 + 248*m**2 - 12 - 129*m**2 - 12*m. What is j(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let d(w) be the third derivative of 16*w**2 + 0*w**4 + 0*w**3 + 0 + 0*w + 1\/60*w**5. Calculate s(d(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 44. Let k = -1 + o. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 172*l. Let a(i) = 43*i. What is -26*a(u) + 6*s(u)?\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72199242 is divided by 24066411.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -607*w - 261336. Determine b(-431).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 - 4*l + 13. Let u be -4 - (-1 - (-18)\/(-2)). Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 30938?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1431 * 10.8191\nAnswer: 15482.1321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/33 + (-7598)\/(-1441). Solve -5*c + 28 = -4*y, 3*c + 7*y - l*y - 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away 0.02267208?\nAnswer: -0.25267208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95680709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93488161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021353 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 + 0. Let k = -136 - s. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m - 12. Suppose 40 = 4*s + 8. What is the lowest common multiple of x(-4) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 0, 2*r - 22 = -b + 4*r. Let k = -24 + b. Find the third derivative of -30*m + 30*m + 2*m**3 - 2*m**k + 8*m**3 wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/3335 - 49997\/93380. Let k = 3\/14 - w. Let n = 0.3 - 5.3. Which is the closest to 0? (a) n (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*b - 13 = 0, -2*d - 21 = 3*b - 9. Let c(h) be the second derivative of 17*h**4\/12 - 5*h**3\/6 - 15*h**2\/2 - 5*h. List the prime factors of c(d).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-133)\/(-28) - 6\/8. Find the second derivative of -5 - g + 5*j - 42*j**2 + 5 wrt j.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*o**3 - 2*i**3*o + i**3 + 2*i*o**2 + o**3 - 4 wrt o.\nAnswer: 6*i**3*o + 4*i + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - ((-5)\/25 - 42\/15). Sort o, 2, 5 in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 2159179?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waww when four letters picked without replacement from waaaaaaaaaawwa?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3 - 5*i + 4*i + 3. Let s = 3 + -3. Let w(f) = f - 2*f + s*f. Determine p(w(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997024 + 285662 = -37*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 59.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261029012?\nAnswer: 2, 283, 293, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3041*t**3 + t**2. Let c be d(1). Let j be (-5*150)\/((-2)\/c). Round j to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - (-3 - -11) - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93192 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0 + 1 + 1)*(953 - 953 - 56*c).\nAnswer: 224*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 7 - (0 - (-1 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 5*h + 12. Solve r - 2 = -3*t, 2*r + h*r + t = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u\/((u**(-6)*u)\/u)*u)**(1\/32) assuming u is positive.\nAnswer: u**(11\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3247 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 3*w**2 - 363*w - 5*w**3 + 485*w to the form y*w + t + j*w**3 + h*w**2 and give y.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-520)\/208*9\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgcgccc. Give prob of sequence ggc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11*(3 + (0 - 0) + -6). Let a = 45 - m. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/118 (b) -0.5 (c) -9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 176958 (b) -166 (c) -4 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 4*s = 17*n - 32, 2*n + 20 = -4*s. Put 0, n, 21, -3 in decreasing order.\nAnswer: 21, 0, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 2}. What is prob of picking 1 i and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - 4 = 0. Let z = 253 - 254. Let p = -88\/5 + 269\/15. Sort p, -4\/3, z, i in increasing order.\nAnswer: -4\/3, z, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(681\/171 + -4). Let w be q\/(-8) + 1\/4. Let i = 21 - 1. What is the highest common factor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5186 + -5186.5. Which is the fourth biggest value? (a) -4 (b) w (c) 1\/2 (d) 10 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f4 - b?\nAnswer: -2ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/12 - 13*i**3\/6 - 11*i**2 - 2*i - 7. What is the remainder when q(-7) is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168124833 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**3\/9 - 1022*v**2\/9 - 1496*v\/3.\nAnswer: 2*v*(v - 68)*(8*v + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-35)\/10)\/((-42)\/60). Let t = -1.9 + 2. What is the second smallest value in -2, t, d, 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*j + 135 - 135.\nAnswer: -94*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 - ((-56)\/(-32) + (-10)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 5*s - 3*r - 5, -2*s - 35 = 3*r. Let b = s + 9. Let m be (40\/(-12))\/(-2) - 3. Is m at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*d**3*q**2 + d*q**2 + 8*q**2 + 29 wrt d.\nAnswer: -426*d**2*q**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -7) + -2 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(1\/23)\/(x**(-1\/11)*x\/(x\/(x\/x**5*x))))**(-47) assuming x is positive.\nAnswer: x**(-1598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(-1)*l)*l*l*l)**(-31)*(l**0)**(-20))\/((l**(1\/9)\/l**2)\/((((l**(-1)\/l)\/l)\/l)\/(l*l**(-3)*l))) assuming l is positive.\nAnswer: l**(-1126\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -849712*g**4 - 706328*g**2 wrt g?\nAnswer: -20393088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9527 = 13*p - 6*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6152, -6129, -6106?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:14 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10754 is divided by 538.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192055540 and 3720?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, x: 4, z: 2, o: 1}. What is prob of sequence zx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.9 - 20. Let b = 0.4 - o. Sort b, -1\/3, -0.1 in decreasing order.\nAnswer: -0.1, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 5*k**2 - 7*k. Let p be l(2). Sort p, 12, -5, 4.\nAnswer: -5, p, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -419*f**2. Let a(r) = 3*r**2. Give a(y(o)).\nAnswer: 526683*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 297?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Suppose 3*w + 2*u - 10 = 0, 0*w = 3*w - 3*u. Suppose 2*g = -l - w, o*l = -5*g + g + 2. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(((-50)\/(-60))\/5)\/((-1)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2087 by -184.\nAnswer: 2087\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.784 + -19.157. Let m = 0.059 - w. Let v = m + -25.69. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = 5*u, -8 = -2*p - u - 2. Suppose -p*l - 63 = -2*l. Let c = l + 30. What is the least common multiple of 4 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 + 5. Let m be w(-8). Suppose -m*j + 0*j = 0. Let r(s) = -s + 2*s + 11 + j*s + 2. Give r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9050 - -10520. Calculate the remainder when g is divided by 415.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0516726181+152.4\nAnswer: 152.4516726181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2331.82 and 152.\nAnswer: 354436.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/49*2\/(-6))\/(((-770)\/12)\/5).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 100 = 3*n. Let k = n - 35. What are the prime factors of k\/(-2 + -1) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 - 3*k**2 - 4*k - 6. Let t be w(-2). Solve -t = v - 5*q, 15 = -3*v + v + q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22015 - 2179525\/99. What is the common denominator of n and 54\/121?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/5 + 3306*p**2\/5 - 1981*p - 13212\/5 = 0.\nAnswer: -1, 4, 3303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 4*x - 50 - 1\/2*x**4 - 5\/3*x**3 + 1\/2*x**2. What is the second derivative of f(i) wrt i?\nAnswer: -12*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54351, 54499, 54637, 54765?\n\"Answer: -5*j**2 + 163*j + 54193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 436 - 36 = 0. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 2)*(-143 + 59 + 74)*(58*g**3 + 179*g - 179*g) in the form p*g + c*g**2 + t + r*g**3 and give r.\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/21)\/(4\/(-3)). Is h smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 19787 (c) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 29. Give k(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/3*(-28)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - z - 4, 0*z = 3*c - 2*z - 1. Let t be 2\/(c + 0 + -2). Let r(i) = -4*i - 3. List the prime factors of r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108064.577 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuq when four letters picked without replacement from {u: 3, q: 3, p: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**7\/56 - 7*w**6\/80 - 9*w**5\/160 + w**4\/4 + w**3\/4 + 230*w. Suppose p(o) = 0. Calculate o.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 35638.\nAnswer: 1\/17819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 12*x + 19. Let s be o(5). Calculate the remainder when 49 is divided by 45\/2*72\/s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087860.9 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -4.7. Let i = d - 1.5. Which is the biggest value? (a) 0.3 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1581*n**3 - 42062*n + 42062*n.\nAnswer: -1581*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6394*i + 25582. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 127979.7l?\nAnswer: 127979700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 190*a - 7217. What is j(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1361 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*c + 11, -3*c + 5*f = c - 43. Suppose -t - c + 0 = 0. Let j = 15\/2 + t. What is the second biggest value in 0.4, j, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13bb04 (base 13) in base 2?\nAnswer: 1110101111010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -0.1, 4, 154?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20683 - -20705. Let f(j) = j**2 + 3*j - 2. Let w be f(-4). Calculate the remainder when -2 - (-90)\/w - 1 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*v - 0*m + 315, 3*v = 4*m - 191. Let h = v + 101. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 17, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187624, 375248, 562872, 750496, 938120?\nAnswer: 1125744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688 and 6736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 10*d**2 + 12*d + 6. Let p be w(9). What is the greatest common factor of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 = -116*z + 186 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at most 4\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*r**3 - 2 - 2*r**4 + r**4 - 2 in the form o*r**4 + c + d*r**3 + f*r + l*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*u + 4*b + 5, u - b + 5 = 0. Is u greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 - 3 - (-17 + -5) and 30\/(-4)*16\/(-20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -80999100 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -0.25. Let b = 49 - 48.71. Let h = w - b. What is h rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -1\/335, -80\/11?\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62205, 124391, 186559, 248709, 310841, 372955, 435051?\n\"Answer: -9*a**2 + 62213*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(363).\nAnswer: 5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, -35, -87, -137, -185, -231?\n\"Answer: f**2 - 57*f + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5960\/1071 - 358\/63. What is the closest to 0.05 in b, 0.4, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -465000.\nAnswer: 465000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:37 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -22*v - 3*v - 2*v + 2. Let r be w(-2). Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13))*2 + 1 + 2 + (-6*sqrt(13)*-3 + sqrt(13))**2)*-4 + -3 + -4.\nAnswer: -18775 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f - 12*f + 37*f)*(20*f - 2*f - 2*f).\nAnswer: 672*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-48)*-8)\/(15\/630*7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250703.\nAnswer: 3, 743, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095285226 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 9\/5*a**2 + 109*a + 11\/30*a**3 + 1\/60*a**4 + 0. Factor s(z).\nAnswer: (z + 2)*(z + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391065679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -81*j - 46*j - 46*j - 52*j + 211*j. Let g(m) = 18*m + 0 + 0. What is g(v(i))?\nAnswer: -252*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3181244 divided by -795311?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 2*j. Let b(z) = -12*z**2 - 5*z. Give -4*b(i) - 10*w(i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 divided by 2?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 395132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 29413668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 1, v: 1, x: 3, r: 1, s: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + -2*sqrt(7) - sqrt(7)) + 2 + sqrt(252)*2 + 4)**2.\nAnswer: 126*sqrt(7) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 564 + 67?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4356 is divided by 161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4773 + 313*n**2 - 165*n**2 - 4773 + 3*n**3 - 148*n**2 + 2*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*z - 2756*z - 2897*z.\nAnswer: -6250*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/10)\/((-1)\/(-16)))\/((-24)\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*r - 4*r = -709*r - 192*r - 5490 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {z: 1, j: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + (-1*(0 + sqrt(448)) - sqrt(448)) + -5)**2.\nAnswer: 256*sqrt(7) + 1855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*c = -8, 5*c + 17 = 4*l - 14. Suppose 8 - l = -3*p. Which is smaller: p or 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 0. Let r = -0.2 - c. Let v = -116 - -115. Are r and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 104256*u**2. Let y(m) = -4*m - 145. Give y(j(n)).\nAnswer: -417024*n**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-4))\/(-3))\/(3*30\/(-180)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 3 = 3*v, 2*y - 6 = -2*v. Solve -3*l = -v*l + 5*q + 21, 13 = l - 5*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1192*i + 1063561. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -14 - 18) + -124 - -45?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:30 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let b(n) = 5146*n. Calculate b(y(r)).\nAnswer: -5146*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8857, 17715, 26571, 35425, 44277, 53127?\nAnswer: 61975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvps. What is prob of picking 1 p and 2 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600872 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)*j**2)\/((j\/(j\/(j\/j**(-1\/4))*j*j))\/j)**(4\/21) assuming j is positive.\nAnswer: j**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -5\/12*h**4 + 5*h**2 - 5\/3*h**3 + 0*h + 0. What is the units digit of x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 22*h - 11*h - 13*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.29. Let g = -15 - -14.9. Which is the nearest to g? (a) -4 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8960187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-5))))**(-21)\/(x\/(x*x**0\/x)*x)**(-17) assuming x is positive.\nAnswer: x**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -280, -538, -990, -1636, -2476, -3510?\n\"Answer: -97*w**2 + 33*w - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 88*p**2 - 2*p. Let k(c) = -138*c + 1665. Let d(y) = -3*y + 37. Let l(q) = -45*d(q) + k(q). Calculate j(l(n)).\nAnswer: 792*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -89?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.5302 millilitres?\nAnswer: 0.0865302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 21. Let l(g) = g**3 + 4*g**2 - 5*g - 8. Let q be l(v). Is q\/52 - 1293\/(-39) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10017 + 10866.4. Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4 - 494*t**3 - 2*t**2 - 3*t - 374?\nAnswer: 48*t - 2964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2 - -3) - 0. Let a be -2*(-9)\/2 - r. Suppose 3*i - a = 70. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 4. Let d = 150 - 151. Let r(y) = y + 1. What is d*h(f) - 4*r(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/100 - (-3)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20415365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 7*m - 12. Suppose 0 = m*t + 2*f - 4, -2*t - t + 5*f + 6 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*l**3*r - 9899053*k**3*l*r**3 + 2*k**2*l**2 - 4*k**2*l*r - 4973*k*l**3*r**2 + 43*k*l**2 - 8*k*r**3 wrt k?\nAnswer: -6*l**3*r - 59394318*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402591287*x**6 - 8326*x**2 - 8723*x?\nAnswer: 48310954440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 25, -19, -4 in ascending order.\nAnswer: -19, -9, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.2, 32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1047952 divided by -261988\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12*d**3 - 961*d**2\/5 + 3856*d\/5 - 64\/5 = 0.\nAnswer: 1\/60, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -138, -140, -142?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8732.\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 78641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14544 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1194054834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70813, 566404, 1911493, 4530802, 8849053?\n\"Answer: 70787*c**3 + 27*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 j when three letters picked without replacement from {c: 6, a: 1, b: 4, j: 6}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + k - 15, -3*k = 256*w - 251*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 divided by -6.\nAnswer: -221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.3072 - 4.1072. Let x = -0.7 + -0.3. Which is the nearest to x? (a) h (b) -3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 13 - 9 + 504*m**2 + 11.\nAnswer: 504*m**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (-5 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2eb23 - 3ca?\nAnswer: -2eeed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 74*o + 17*o - 4 - 68*o.\nAnswer: -125*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2 - 4837254*a - 72559485 = 0.\nAnswer: -15, 1612433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 20*d**2 - 16*d - 55. Let w be s(19). Put -0.4, -7\/3, -2, w in increasing order.\nAnswer: -7\/3, -2, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 6*v**2 + 2*v + 1. Let q = -13 - -7. Let j be s(q). Let y(r) = -11*r - 7. Let o be y(0). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/11)*q\/q**(-1\/18)*(q\/(q*q**(2\/3))*q*q)**(-48))\/(q**(-15)\/(q\/(q\/(q*q**(1\/6)*q*q))))**(-9\/7) assuming q is positive.\nAnswer: q**(-59303\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.8. Let n = 128 - 125. Which is the closest to -2\/5? (a) 1 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -12*m. Let q = -2 + 3. What is the units digit of m*((-94*q)\/2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -6*h + 48, -24*q + 16*q + 3*h - 1 = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(18)\/sqrt(2)))\/(sqrt(20)*-2).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*x - 5. Suppose 0 = 3*y + 2*h + 2, 3*y - 2*h + x = 0. What is the units digit of ((-2)\/y)\/(2\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -2*j. What is the second derivative of 47 - 47 - u**4 - 3*u**4 - j*u wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-268)\/52 - -3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-1 + 3 + 0)*(2*v - 2*v + v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -526? (a) 35 (b) 12 (c) 2 (d) -5 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.71 + 84.71. Let w = 91 - s. What is the nearest to 2\/5 in w, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o + 66159 = 82*o + 18675. What is the remainder when o is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14700 or 191114\/13?\nAnswer: 14700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:49 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3262 - -1?\nAnswer: -3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13726026 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231*j**2 - 366934 + 8*j**2 + 366842 wrt j.\nAnswer: 478*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -307, -460?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = -5*k, -k - 4 = -q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -1\/150 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3993)\/605)\/(2\/10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631952 is divided by 543888?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-261))\/(1*(-5)\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -4) + (-5 - (-8 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**3 + 4*t**3 + 5*t**3 - 1. Let n be u(1). Let r(m) = -154*m + 158. Let z be r(1). Solve 0 = 3*v + n*p + 10, -z*v - 4*p = -2*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 (base 11) in base 4?\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1344 - 1344. Suppose -4*t + 2 - 8 = -2*g, 2*t = 4*g. Put n, t, -4, -3 in descending order.\nAnswer: n, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 5. Let o = 2 - -1. Calculate the remainder when i(-3) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(-7)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154.93 - -155. Let p = 0 - 2. What is the second smallest value in -0.3, h, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from {v: 1, g: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*2 + sqrt(190) - sqrt(190))\/sqrt(10).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -167*b + 469. Determine r(5).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 5*x**2 + 4*x + 2. Let z be v(-4). Suppose 2027 = 5*m + 8*w, 10*m - 3*w + 812 = 12*m. Suppose 97 = -z*k + m. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 42\/(-15))\/(-2). Sort x, -1\/4, 1.\nAnswer: x, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-216))\/((-6)\/18)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*q + 9*q**3 + 142*q + 2*q**2 + 0*q**2 to the form u*q**2 + b + y*q**3 + s*q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1856 = -54*r - 1478 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11076?\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {t: 2, b: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2 - 2 - 2. Let s be ((-159)\/2915*22)\/((-5)\/(50\/4)). What is the third smallest value in z, -9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1529*h + 2547. Calculate p(1).\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -74*v**3 - v - 1. What is the units digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87989918 is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*w + 3 = 0, 6*w = t + 3*w - 12. Suppose 0*b + 2*b - z = -59, -t = -z. Let u be 0 - -12 - b\/28. Solve -2*c = -2*r - 5*c - 1, u = 4*r + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u. Let w(s) = u*s**3 - 1 + 6*s**3 + 2*s - 2*s**2 - 3*s**3. What is the units digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 49*a**2 - 7*a. Let u(d) = 33*d**2 - 5*d. Give 5*g(p) - 7*u(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 126? (a) 0.2 (b) 0.14 (c) 0.5 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2420844439 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 153, 318, 495, 690, 909?\n\"Answer: w**3 + 158*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from ggggqgfggqgggqg.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:07 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -582235374 - -0.106.\nAnswer: -582235373.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 110. Factor 2\/9*d**3 + 2\/9*d**2 - 2\/9*d**4 + i - 2\/9*d**5 + 0*d.\nAnswer: -2*d**2*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttcrrcyyctyryytcy. Give prob of picking 1 y, 1 t, and 1 r.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1333 * 431\nAnswer: 574523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 3*f + 1. Let t(i) = 3*i**2 + 5*i + 2. Suppose -2*l = 55 - 155. Let y be 1 - (-4)\/(-6)*(-225)\/l. What is y*t(d) - 7*r(d)?\nAnswer: -2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314105.\nAnswer: 5, 11, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85892763 - -3?\nAnswer: 85892766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, 2*q = q - 3*i + 3. Suppose 0 = -2*t - 14*t. Suppose 2*n - 4*h - 17 + 5 = t, 4*n = -4*h. Solve -n*c + q*c = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1748d9 + 1?\nAnswer: -1748d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Let x be (-5)\/(10\/6) - -1. Sort o, x, -4 in decreasing order.\nAnswer: o, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -68*x - 133. Let p be n(-2). Solve -6 = 2*j, -q + p*j = -4*q - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -368 - -1838\/5. What is the nearest to f in -2\/19, 5, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o**2 - 3*o**3 - 107*o**2 + 0*o**3 + 55*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 - 6) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/588 and 38.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/7)*g**(-1\/24)\/g)**(2\/75) assuming g is positive.\nAnswer: g**(13\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 430 = 3*b - 314, -4*b + 984 = -2*f. What is the remainder when b is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151436.33 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102013 (base 4) in base 9?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*k - 1, -3*d - 10*k + 2409 = 2402 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50399395 to the nearest integer?\nAnswer: 7099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - 0.396. Let p = 1.295999159 + l. Round p to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10452*b - 198342. What is z(-19)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 7*b = 31*b + 220 - 46 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08668 * 1713.\nAnswer: -148.48284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -380034.37 and 178?\nAnswer: 380212.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 + 216*x**2 + 58*x + 3134. Calculate g(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 + 7*r**4\/8 - 46*r**3\/3 + 11*r**2 - 2. Let b be t(7). Solve -b + 12 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -1860330?\nAnswer: -1860330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 12) in base 5?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14081 is divided by 14079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 9. Suppose -o*m + 896 = m. Let z = 1636 + -1604. Calculate the highest common divisor of m and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-4650)\/(-217) + (1 - -7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733747 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591511130?\nAnswer: 2, 5, 7, 8450159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54500.54 kilometers?\nAnswer: 54500540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let z be f(-9). Let y(g) = -11*g + 36. Let m be y(z). What is the hundreds digit of (3*m\/18)\/(5\/2410)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4051 - -6918. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 54*c - 8. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 12. Let q be d(5). Suppose 6*f - 4 = q*f, -2*p - 4*f + 476 = 0. List the prime factors of p.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58614.91 millennia in years?\nAnswer: 58614910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u**3 - 2*u**2 + u. Let v(f) = -f**2 + 5*f + 1. Let k be v(5). Does 9 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/7 + 12391488*s\/7 + 19193621856768\/7 = 0. Calculate s.\nAnswer: -3097872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -631.964 - -696.41. Let l = n - -0.454. Round l to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 118\/2 + (5 - 7). What is the highest common factor of n and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3117407 and 3.8.\nAnswer: 11846146.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csssszosjijssossosj. Give prob of sequence oo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5625 and -77\/27336250?\nAnswer: 246026250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11307 is divided by 275?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4 - 8. Let x(l) = 3*l - 16. Let q(a) = -5*a + 1. Let b(w) = q(w) + x(w). Calculate the lowest common multiple of b(c) and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 2*z - 3. Suppose 4*g - 4*b - 564 = 0, -2*g + 4*b = -77 - 197. Let c = 147 - g. Determine u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-149266)\/140 - (-4)\/14. Suppose 0*f + 3*f - 3*h - 3186 = 0, 2*f + h = 2130. Let k = j + f. Find the common denominator of 67\/3 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -3 - (-60)\/6. Suppose -z*c - 3*g + 19 = 0, 5*c - c + 3*g = 17. Solve -l - 3 = c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = 3*n + 2, -3*n = -q + 8. Which is the biggest value? (a) 2\/9 (b) q (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 22, -1, 4, 740 in ascending order.\nAnswer: -1, 0, 1, 4, 22, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w + 2. Let f be z(-1). Calculate the greatest common factor of 80 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -11. Suppose -f - 5*w + 12 = -0*f, z*f = -2*w + 10. Find the third derivative of -7*p**f + p**2 + 5*p**2 + 4*p**2 + 4*p**4 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -485, -443, -401?\n\"Answer: 42*q - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/84*8\/1407. Let r = -75521\/19698 + q. Let g = r - -10\/3. Do g and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 69409870.79 and 0.5.\nAnswer: 69409871.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + -15 + 85 + (-16 - -4) + -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 22. Let g = -13 - w. What is the derivative of 1 - 243*t**3 + g + 247*t**3 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 202144 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 30*q**2 + 12*q - 19. Let g be l(30). What is the greatest common factor of g and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -73*a**4 + 4452*a**3 - 88416*a**2 + 587520*a - 497664 = 0.\nAnswer: 72\/73, 12, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510813704 divided by 127703426.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/18)\/(-92 + 106382\/1161)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90.65684 micrograms?\nAnswer: 0.09065684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/7 + 3288*u\/7 - 7707996\/7 = 0.\nAnswer: -2242, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 164*g - 5496. Determine t(22).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 42860 and 214302\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841050328.\nAnswer: 2, 10139, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 93*u**2 + 94*u - 166. Let o be l(92). Calculate the highest common factor of o and 1866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/40 + a**4\/6 - 5*a**3\/12 + a**2\/2 + a + 4. Let x(n) be the first derivative of y(n). Factor x(o).\nAnswer: -(o - 2)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27560 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1893 by 1.\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k + 117. Determine i(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04026245 and -6.\nAnswer: 0.2415747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 - 4*t**4\/3 - 41*t**2\/2 - 44*t. What is the tens digit of m(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 17*u**2 + 7755*u + 182091. Determine x(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 2 y when four letters picked without replacement from {e: 1, v: 4, z: 1, j: 4, p: 4, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 63 - 55 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 29, -1, 0.0234, 0.1, 18.\nAnswer: -1, 0.0234, 0.1, 0.2, 18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**2 - 1112*y - 981. Give d(75).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 + 2*s - 1. Let r(f) = -f**2 + 9*f - 7. Let z be r(8). Let o be g(z). What is the units digit of 259\/14*(o - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:12 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 20 + 7*y + 13 in the form b*y + j and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 5 - (4 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1545415 or -1545413?\nAnswer: -1545415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*u**4 - 646385*u**3 - 2*u**2 - 248282925?\nAnswer: -52*u**3 - 1939155*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = -3*j - 8, -j - 3*v = 12. What is the closest to j in 3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 - -0.4500095. Round c to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/8 - 1\/2. Let r be (3606\/4)\/(p\/16). Let i = -794 - r. What is the common denominator of 47\/9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -j + 10, 63 = 3*j + 5*b. Let c be (-2)\/(-9) - j\/(-9). Let w be ((-1)\/c)\/((-2)\/(-4)). Is w < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*n = -6*n + 230, -3*o + 5*n = -169. Suppose -o - 14 = -4*s. What is the remainder when (-50)\/(-1) - 9\/(-3) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455465 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -4. Let f = a + -5. Let l(i) = 20*i**2 + i. Is l(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150100 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f**2 + 3*f. Suppose 62*p = 65*p - 9. Let t be l(p). Let b(h) = h**2 - 9*h + 7. Let y be b(10). Calculate the highest common divisor of y and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.945 - 1.72. Round d to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 - 5098*k**4 - 20360*k**3 = 0. What is k?\nAnswer: -2545, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -277 - 64*z + 67*z + 707 as q + p*z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a = 56*a + 4*p - 260, 4620 = 70*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1592\/3 - 530. Which is the second smallest value? (a) 5 (b) k (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 7. Let v be x(9). Let b = v + 5. Let k = -24 + b. Which is smaller: k or -5\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1794)\/(-1729) + (-128)\/112. What is the fifth smallest value in -1\/10, -5, r, -3, -382?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1. Let f(n) = 9*n - 12. What is f(p) - 12*k(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1178298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -31713.\nAnswer: 4\/10571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8019)\/22*2\/(-3). Suppose 3*i + 2*r + 55 - o = 0, -5*i = -5*r - 355. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618 by -338496.\nAnswer: 103\/56416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j + 5. Calculate k(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*v + v - v**2 - 48 + 28*v - 4*v wrt v.\nAnswer: -2*v + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 54, 85, 138, 219?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 2. Suppose 9*b + 69 = 6*b. Let g = b - -19. Determine r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8371 (base 10) in base 15?\nAnswer: -2731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14451921 and 1023?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let s(y) = -y. Let b = 82 + -86. Let f = -13 + 7. Let r(p) = b*d(p) + f*s(p). Let m(u) = 3*u**2. Calculate r(m(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/24 + m**3\/6 - m**2 - m. Let w(j) be the first derivative of u(j). Suppose -10 = 6*o - o. Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - 2) + (-10)\/(-4)*-2. Let a(d) = -d**2 - 2*d + 6. Determine a(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 30*r**3 + 40*r**2 - 15*r = 0. What is r?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 4*w = 5*u + 6, -5*u - 2*w = -y*u + 6. Let d(g) = 14*g - 2*g - 10*g + g**2. Give d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*t**3 + 798*t**3 + 4 - 1761*t - 59*t - t**5 + 478*t**3 - 3 wrt t.\nAnswer: -20*t**3 + 7944*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48075\/1034 + -3\/517. Find the common denominator of 139\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0559 times 0.2?\nAnswer: -0.01118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110337, 221486, 332633, 443778, 554921, 666062?\nAnswer: 777201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79180 (base 14) to base 5.\nAnswer: -33401131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/((-2187)\/(-108))*102\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**9\/756 + q**6\/30 - q**3\/6 + 15*q. Let c(b) be the second derivative of z(b). Find the third derivative of c(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(1 + (-103)\/97)*3. Let z = l + 350. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.17 and 40.94.\nAnswer: 498.2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110102102 + 10?\nAnswer: -110102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 2)*(336384 + 1914*a - 336384) + 3*a + 0*a - 4*a.\nAnswer: 13397*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44425.951677 + 44426. What is k rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15198 and -15197 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.23 + -3.29. Which is the third smallest value? (a) -0.2 (b) 14 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a + 1039. Is f(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - -2.338\nAnswer: 5.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 66722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + b - 1 + 1 - 2*b wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let m(s) = -4*s**2 + 6*s. Let j(n) = -4*n**2 + 5*n. Let x(l) = -6*j(l) + 5*m(l). Give x(d(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 9*y**2 - 3*y**2)*(728*y + 135*y - 290*y).\nAnswer: -5157*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 18. Let j = z + 11. Do j and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/7398 and -119\/27126.\nAnswer: 81378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -6. Let t = k - -25. Let r(c) = 4*c**4 + 20*c**3 + 48*c**2 + 32*c. Let n(b) = b**3. Let j(o) = t*n(o) - r(o). Suppose j(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.41 + 7.075. Let f = d + 3.4. Round f to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*s. Let z be (1 + 136)*s*2. Suppose 5*l = 3*t + z, -2*l - 3*t - 2*t + 122 = 0. What is the greatest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 26*r**2\/5.\nAnswer: -2*r**2*(r - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.5, 0.2, 1.98?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145878\/5 - -29297. Let s = -121 + j. Let 0 - 2\/5*g**2 - s*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 103. Solve -l*g + 15 = 3*u, 2*g - 18 = -4*u - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1581*n**3 + 3*n*q**3 - 254*q**3 + 17*q wrt n.\nAnswer: -4743*n**2 + 3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -1 - -4) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**4 + 6185*p**3 + 2949860*p**2 + 253106020*p - 9968216400 = 0.\nAnswer: -206, 29, 1620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let j(m) = 6448829*m**2 - 7*m. Calculate j(o(p)).\nAnswer: 25795316*p**4 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2690424 divided by 2607?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1007241 rounded to 3 decimal places?\nAnswer: 2.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4416155 divided by -5.\nAnswer: -883231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8734*t + 688. What are the prime factors of g(4)?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/(88830\/3450))\/((-3)\/((-36)\/(-10))).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7)*21\/(-6). Let b be (-14)\/(-4) - (-10)\/(-30). Is z > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/276)\/((-2)\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 372?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50746 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = -18. Suppose n - 5*r - u = -8*r, -12 = -3*r. Solve -6 = -n*l - i + 10, 4*l - 2*i - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:16 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176\/11*h - 5488\/11 - 84\/11*h**2 - 2\/11*h**3 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 + 309. What is the nearest to 0.6 in 2\/11, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -12 + (63 - 32 - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19 + -25 + -8 + (0 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 33. Let s = -26 - g. Let p = 2 - s. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 5. Let m(a) = -7*a - 9. Let n(k) = k**3 + 4*k**2 - 8*k - 10. Let u be n(-5). What is u*v(s) + 3*m(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 105, 89, 53, -9, -103, -235, -411?\n\"Answer: -u**3 - 4*u**2 + 3*u + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164123 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 6:58 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -2 + (-12)\/(-2). Suppose 4*t = 2*o - 2 + 6, 2*o + 5*t = 32. Find the third derivative of 4*n**3 - 2*n**3 - 2*n**3 - 5*n**m - 3*n**o wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1901.1 - 1901. Let n = 0.01 + 1.99. Let l = n + -7. What is the second smallest value in c, l, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3803194 - 68?\nAnswer: -3803262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1070141 (base 9) to base 8\nAnswer: -2147716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -365*30.5\nAnswer: -11132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.12, -1.62?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134739855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - v + 10 - 13, -9 = 3*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -8 - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 346629928.5858.\nAnswer: 346629928.5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 + 120*n**2 + 474*n + 7. Let u be y(-5). Solve u*o - 17 = 9*o - s, 0 = 5*s - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(-3)*6. Let u be -1 + (0 - (2 + -3)). Solve u = s - c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((1 - -1) + -3). Suppose p*j = 3*j. Suppose j = 4*k + x - 512, x = -5*k + 209 + 432. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-21)*1)\/(8*(-156)\/336).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 20870884*b - 10435440.\nAnswer: -4*(b - 2608860)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 84577, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*s - 97*s - 360. Let n = 13 + -8. Suppose n*l - 50 = s. Calculate the least common multiple of 18 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.46 - -46. Let g = 0.36 + j. Let s be 8\/(-6)*9\/(-6). Which is the closest to g? (a) -3 (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**6 - 4983*b**4 + 34*b**3 - 2*b**2 - 2*b - 2678 wrt b?\nAnswer: 480*b**3 - 119592*b + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h + 6. Let c(u) = -19*u + 8. Let r(j) = 3*c(j) - 4*x(j). Let t(w) = w**2 - 148. Calculate r(t(v)).\nAnswer: -5*v**2 + 740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 19*o**6\/6 - 2*o**2 - 24. Find the second derivative of f(b) wrt b.\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 17*x**2 - 6*x**2 + 7*x**2 - 674*x.\nAnswer: 18*x**2 - 674*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381723 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 3*d**2 - 4*d**2)*(-3*d**2 + 4*d**2 + 3*d**2) - 3*d**4 - d**4 + 3*d**4 + (2*d**3 + 3*d**3 - 7*d**3)*(7*d + 4*d - 5*d).\nAnswer: -17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185 - 33240 + 2*d - 49193 - 28134 + 0*d.\nAnswer: 2*d - 114752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.1 (c) 3\/5 (d) -2 (e) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*p + 14 = -9*h, 4*p = -16. Let o(a) = -a**3 - 5*a**2 - 8. What is o(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/2)*u**(-2\/11))\/((u*u\/u**(2\/15))\/u**(-5)) assuming u is positive.\nAnswer: u**(-2161\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 331358091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 13*a + 15. Solve -r = -4*t + 22, -a*r = t - 6*r - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/2 - 9*p**3\/2 - 9*p**2 + 12*p.\nAnswer: 3*p*(p - 4)*(p - 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - o = 880 - 17808, 2*o = -3*c + 25394. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)\/(r\/(r\/(r*r*r**6\/r))))\/((r\/r**(-6))\/r*r**(2\/15)) assuming r is positive.\nAnswer: r**(-347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 59*s**2 - 14*s + 8. Let m be u(4). Let k = m + -776. What is the smallest common multiple of 140 and k?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2309.51763us to weeks.\nAnswer: 0.000000003818646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 34*w + 4298. Determine g(-129).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5552)\/5120*(-14)\/(-3) - (-11 + 6) and -125\/24?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 7*z**2 + 22*z - 12. Let l be k(3). Solve -2*o - l*o = -10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**2 + 5*a**2 - 976*a - 1 - 449*a - 12*a**2 in the form h*a**2 + d*a + i and give d.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -1.2. Let q = -10 + -2. Let s = -3 - q. Sort p, -4\/5, s in decreasing order.\nAnswer: s, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*s**3 - 6*o**2*s + 25*o**2 + 12*o*s**2 + 4*s**4 + 15*s**2 - 16 wrt s.\nAnswer: 6*o**2*s + 24*o + 48*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189514 is divided by 84?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 4. Let v(o) = -5*o + 7. Suppose 12*h - 8*h = 28. Give h*w(b) + 4*v(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and 29\/40936.\nAnswer: 40936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7 + 3 - 4 + k. Suppose -36*v + 38*v - 24 = 0. Let j be w(v). Solve 6*i - 3*i = -n - 11, -j*i - 40 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -13. Let x = 5.7 + q. Let i = -4.09 - -0.09. Sort i, 4, x in increasing order.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8170 + -8168. Put 3\/4, l, -0.1, 111.5 in decreasing order.\nAnswer: 111.5, l, 3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -807690 rounded to the nearest 10000?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 110. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(425)*4*-6 + 5.\nAnswer: -120*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -741 + 708. Sort 2, z, -3 in increasing order.\nAnswer: z, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 6) to base 12.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641078061.\nAnswer: 7, 53, 631913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -815*p - 1105. Let n(a) = -102*a - 138. Let v(l) = -3*b(l) + 25*n(l). What is the derivative of v(s) wrt s?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/16301 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27884 + -676850043?\nAnswer: -676877927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095345844.\nAnswer: 2, 273836461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**5\/20 - c**4\/2 + 3*c**2 + 77*c. Give j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 - 2*m - 3)*(2*m + m - 6*m).\nAnswer: 9*m**2 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/11 + 48*q**2\/11 + 160*q\/11 = 0.\nAnswer: -20, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 27 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -16, 8, 27, 3, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 401 - 105 = -46*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7536883.6 and 5.\nAnswer: 7536888.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -3*p**5\/20 - p**4\/4 - p**3\/3 - 3*p. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 12:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3675 * 0.6\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109.2 + -109.201215. Round i to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - -16?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*m + 9, 0 = -3*t - 3*m + 17 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*s - 5*p + 3, -s - 7 = -2*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 189. Which is the biggest value? (a) 3 (b) 1 (c) 0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778475.\nAnswer: 5, 359, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1660803881 rounded to three dps?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(294\/9))\/(2\/(-7))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2\/2 + 11*w + 3. Let p = -9 - -4. Determine a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 1 + sqrt(1300)*3 + (-2*sqrt(13)*-4 + sqrt(13))*5.\nAnswer: 1 + 85*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(5 + -2) + -1. What is the second biggest value in -6, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y + 422064 - 423109 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) -796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16201 divided by 45.\nAnswer: 16201\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - 0.06. Let u = 5 - 4.8. Let x = u + -0.2. Put o, 0.06, x in increasing order.\nAnswer: o, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/74989789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 12009*c + 144216081\/2.\nAnswer: (c - 12009)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3790.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.29 + -5.49. Which is the closest to k? (a) 2\/9 (b) 5 (c) -3\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/50*3710\/(-3339)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 24. Suppose -y + 12 = 2*y. Suppose -40 = -y*p + 4*z + 36, 0 = p + z - 9. Calculate the remainder when p is divided by n(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 0, 6*x + k = x + 644. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9299582?\nAnswer: 2, 197, 23603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, 1\/11, 0.063 in descending order.\nAnswer: 1\/11, 0.063, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let x(h) = h**2 + 1. Suppose 7*d + 339 - 360 = 0. Calculate d*l(a) - x(a).\nAnswer: -4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 41*y + 84 = 0. Calculate the highest common divisor of 81 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1236? (a) -4 (b) 0.34 (c) 1360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-7))\/(4\/238). Let v(j) = 4*j**2 - 8*j + 6. Let o be v(6). Calculate the highest common divisor of o and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 161*f**4\/2 + 267*f**2 - 685. Find the second derivative of n(z) wrt z.\nAnswer: 1932*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10488\/(-4902))\/(-46) + (1288\/43 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641594 is divided by 234490?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -x + 7*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 45*g**2 - 6*g + 667. Give n(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/98*26\/(26\/7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 3. Let t(n) = 0*n - 93 - 85 + 181 + 5*n - n. Suppose 0 = -0*j - j - 3*s + 10, 3*j + 2*s = 2. What is j*m(p) + 3*t(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/24 - 3*h**3 + 377*h**2. Give z(17).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2 - 3 + 7)*(310157 + 0*p - 310158 - 3*p).\nAnswer: -12*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (76\/(-8))\/(3\/(-6)). What is the highest common factor of 209 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((96\/128)\/((-6)\/4))\/(1\/(-138558))?\nAnswer: 3, 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26286 and 429?\nAnswer: 289146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 640 - 332. Suppose 0 = z - 5*c - 26 - 21, 4*z = -4*c + d. Let w = z - 6. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4872474900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*d**3 - 7*d + 3 + 54*d**3 + 7*d**2 + 90*d**3 in the form g*d**2 + x*d + s*d**3 + u and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 7 - 28, 2*q + 3*k = 5*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087673142 to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-24)\/(-20))*11890\/1025?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 827249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*y + 1, -8 - 14 = -4*y + 2*n. Suppose -g - y*c + 793 = -7*c, 5*c = 4*g - 3193. List the prime factors of g.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 3)*(-2 - 1 + 2) + 3 - 4 - 5)*(-1 - 1 - h + 2*h).\nAnswer: -5*h + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (3 - -15) + (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 1030 = -106 + 26. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -22*f**2 - 7*f + 1. Let u(j) = -2*j. Let n = -375 - -372. Let k(c) = n*u(c) + r(c). Determine k(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -2475668*i + 2475679*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -12*j + 18. Let p(s) be the first derivative of 0*s**2 - 4\/3*s**j + 0*s - 1. Let p(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88.2 - -88. Put c, 0, 0.1 in decreasing order.\nAnswer: 0.1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 604.578 + 4.622. Let o = -609 + q. Put o, -91, 0.1 in decreasing order.\nAnswer: o, 0.1, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/90 and -53\/4300.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(156) + sqrt(156)) + sqrt(156))\/(sqrt(48)*-6) + (sqrt(13) + (sqrt(1053) - (sqrt(1053) + -1)) + sqrt(1872) + 1)*1)*6.\nAnswer: 12 + 143*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2593 - 2588.1392. Let c = -4.8 + j. What is c rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let p = -3.6 - t. Let v = p - -0.6. What is the nearest to 3\/4 in 5, -2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 + 2*h**2)*(2 + 2 - 7)*(0 - 2 + 3)*(h**3 + 4*h**3 - 4*h**3).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**46*r**(23\/4)\/(r\/(r**(8\/3)*r)) assuming r is positive.\nAnswer: r**(1205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(180\/(-4455)*9).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let s(f) = f**3 - f - 3. Determine 2*s(b) + 4*z(b).\nAnswer: 2*b**3 + 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354847343 to the power of 1\/2, to the nearest integer?\nAnswer: 18837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.036 + -0.036. Let g = -0.22991 - -20.23091. Let q = g - x. What is q rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -37*m + 152. Let d be c(4). Suppose 20*k = -d*k + 20688. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 770 + 280 = 0. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llin when four letters picked without replacement from {l: 7, i: 5, n: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1644 - -1417. Let f(u) = 329*u**2 - u + 1. Let i be f(1). Let y = i + s. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = y, 2*g + 0*y - 18 = 4*y. Let j be ((1 - 3) + g)*-4. Is j not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -143812 (b) -2\/9 (c) 1 (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.3633 rounded to 0 decimal places?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8754097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1328040694 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = -3*n + 418 - 671 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*a**4*u**2 - 2*a**2*u**2 - 2*u**2 + 24 wrt a.\nAnswer: -96*a**3*u**2 - 4*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15086.00221 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 25. Solve c = 3*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11221 - -8827. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 174*b**3 + 47*b - 1572. Let h(a) = -175*a**3 - 40*a + 1574. Let m(l) = -7*h(l) - 6*k(l). What is the first derivative of m(s) wrt s?\nAnswer: 543*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -t + f - 0*f, 4*t + 4 = -4*f. Let b be -4 - (-3 - (5 + t)). Suppose 5*c = r, b = r - 0*r - c. Solve -m + 4*q - 23 = r, 5*m = 2*m + 4*q - 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 6. Let z(y) = -7*y + 13. Let b(c) = 9*p(c) + 4*z(c). Let k be b(-6). Solve k*f - 4 - 9 = -5*j, -f - 4*j = -17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5911 + 5911.1. Let w = 7 + -4. What is the nearest to 1 in 2\/5, w, -7, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15))\/(12\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/414 - (-7)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(((-13)\/(39\/4))\/((-84)\/(-315))). Let l be 12\/(-30) + (-8)\/10. Let f = -7\/5 - l. Which is the biggest value? (a) i (b) -20 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14958, -35044, -55130, -75216?\nAnswer: -95302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7 - (59 - (-25 + 8 - -27))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.9412707 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 11633.\nAnswer: -5816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q = -151*q + 1960 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060531 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 917629.8l in millilitres?\nAnswer: 917629800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 - 21.57. Let o = -21 - x. Put -0.5, o, -1 in descending order.\nAnswer: o, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (278\/(-1112))\/(9\/(-102)).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -l + 66*i - 62*i, -18*l + 74 = 4*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from ttghtggh?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/360 + k**5\/120 - 7*k**3\/6 + 14*k**2. Let y(i) be the first derivative of u(i). Factor y(a).\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 73507*v**2 - 2*v. Let s be w(1). Let n = s + -48111. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8502797 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16877533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 15) to base 5\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5\/5 + 39*g**4\/5 - 6*g**3\/5 - 172*g**2\/5 - 30*g - 27\/5 = 0.\nAnswer: -1, -1\/4, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27700*m**3 - 19045*m**3 + 685 - 218 - 234 - 233 + m**3 - 3*m**2 + 3*m**2 + (2 - m - 2)*(m - 2*m**2 - m).\nAnswer: -46742*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30947 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: b\"What is the rth term of 62, 102, 194, 362, 630, 1022, 1562, 2274?\n\"Answer: 4*r**3 + 2*r**2 + 6*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26.5978 times -0.01\nAnswer: -0.265978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -3a?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltttdlktlttlltkttt. What is prob of sequence ll?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + i - 2. Let f be a(2). Let q be (-2 + f)*(-1)\/(-2). Is q greater than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2101 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = -u + 47, 2*s = -2*u - 6. Let j = s + 8. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -794, -1175, -1560, -1949, -2342?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 484\/2*((-22)\/(-32) - 132\/198) and 181\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -42. Suppose 0 = 3*q - 3*i - 2*i + z, -5*q + 2*i - 2 = 0. Suppose q = -4*v - a + 19, 8*v + 4*a = 3*v + 32. Solve v*s - 9 = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1743\/(-6))\/(1\/2). Let p be 4 + (z + 1)\/(-2). Suppose -2*f + 544 = -p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 3*r. Let o = 881999 - 882001. Which is the third biggest value? (a) -22 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r**2 - 29*r + 88. Calculate the remainder when x(3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70844694187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 16 = -30*j. What is the tens digit of ((-18)\/j)\/((-16)\/128)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 8) in base 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*49\/14*1326\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 78. Let l = -28 + 84. Suppose -8 = 52*p - l*p. Calculate the highest common divisor of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17831*s**4 - s**3 + 3*s**2 - 49503*s wrt s?\nAnswer: 213972*s**2 - 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/8 - x**2. Let n(u) be the second derivative of u - 1\/12*u**4 + 0*u**2 + 0 + 0*u**3. Give n(a(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -295 (b) 111\/4 (c) 5 (d) 1 (e) -0.2 (f) -0.05 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 2*d + 5*d)*(-3 + 1 + 3) in the form g + z*d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*18\/24*2\/9. Let l be -1 + -4 - 9\/(0 + -3). Which is the third smallest value? (a) l (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -760747\nAnswer: 380373.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = 7*u. Suppose -2*k + 2*q + 13 = -3*k, -u*k + q - 6 = 0. Put k, -2, -1 in increasing order.\nAnswer: k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10576575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 4*g, -5*g + 15 = -4*w - 0*w. Suppose 11*r - 13*r + 72 = w. Differentiate -r - 15*k**3 - 4*k**3 + 54 wrt k.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3))**(4\/17) assuming d is positive.\nAnswer: d**(20\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 338801, -1, 2 in descending order.\nAnswer: 338801, 161, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-2994)\/(3\/(-1)). Suppose k*n + 2491 = 997*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 308.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**4)\/(b\/(b**(-4\/15)*b))*(b*b**0*b)**(-42) assuming b is positive.\nAnswer: b**(-1309\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c1 + 48a?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 13*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 1160.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a + 4*u - 53, -4*a = -3*u - 30. Let c = a - -2. What is the derivative of c*n**4 + 18*n + 3 - 18*n wrt n?\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1527216, -0.1, -2\/9 in descending order.\nAnswer: 1527216, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265217475 to the power of 1\/2, to the nearest integer?\nAnswer: 16285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-29)*y)**(-21\/5)*(y*y**29)\/y**(-15))**(-40) assuming y is positive.\nAnswer: y**(-6504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/17675 + -8469854\/17675. Let p = t - -748157\/1560. Calculate the common denominator of -63\/4 and p.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 57. Suppose w + b + 7 - 150 = 0, -5*b = -z*w + 307. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 8\/(18 - 100\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 7}. Give prob of picking 1 w and 1 n.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*n = 698, -3*b + 273 + 144 = -3*n. Let i = b - 117. Which is greater: 23 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17010000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-4*j - 5*j + 7*j)*(-2*j**2 - j**2 + 2*j**2) as f*j**2 + o + a*j + r*j**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose -5 - 1 = p*a, -i + 3*a = 0. Let z(d) = -d**2. Let k(x) = 6*x**2. Let j(v) = i*k(v) - 34*z(v). Let r(c) = -2*c**2. What is r(j(h))?\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20931 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -77. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -311 + 38. Is r smaller than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 191.9 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {g: 3, d: 1, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 11 + (7 - 53 - (-5 - (-2 - -4))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = 20*b - 292 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 43 + 1. Let a = 87 - x. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.519 in -27521, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*j + 12, 183 = -0*q + 7*q + 4*j + 69 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1 - 4) + 144\/45. Suppose -i*a = 7*a + 180. Let u be (-87)\/(-27) + ((-32)\/a - 2). What is the greatest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppeeyeyhkqyeqeeyqqp. What is prob of picking 1 e, 1 q, and 1 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose 5*b + 65 = -3*h, b = -x*h - 0*h - 13. Let t = -9 - b. Put 1, -5, t in descending order.\nAnswer: t, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -24919177?\nAnswer: -24919211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x + 2012. Let z = x + 113. What is z rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5930110 and 1054?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69358.78 - 548.\nAnswer: -69906.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -21\/11, -4, 4?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1721148 divided by -1\nAnswer: -1721148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:42 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -6, 20, -2528, 0 in descending order.\nAnswer: 20, 0, -1\/5, -6, -2528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(-72) - 2\/(-9). Suppose -2*q + 0*z + 4*z = -26, -3*q + 5*z + 36 = 0. Let n(s) = s - 8. Let d be n(q). Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 9*m + 10. Let f be h(8). Solve -2*d + a - f*a - 9 = 0, 0 = 5*d + 5*a + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3*h + 3*h)*(2*h**4 - 5 + 5) + 0*h**2 + 0*h**2 + 2*h**5 + 0*h**5 + 4*h**5 + h**5 - 45 - 16*h**5 + 17*h**5 + 21.\nAnswer: 10*h**5 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 115, 134, 183, 274, 419?\n\"Answer: 2*p**3 - 3*p**2 - 4*p + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 518 - 261. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 9 + 7 - 14 = 0, 0 = 2*v - 7*c - 5 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2 - 9*y - 1624. Determine v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, t: 6}. What is prob of sequence ttd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32806 (base 10) in base 16?\nAnswer: 8026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -613167 rounded to the nearest ten thousand?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 118*f - 115*f - 12, 148 = -2*s + 37*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5616011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14698, -29349, -43998, -58645, -73290, -87933?\nAnswer: -102574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 68*p**3 - 3*p**2 + 4*p - 1. Let j(o) = 67*o**3 - 2*o**2 + 6*o - 2. Let d(m) = 2*j(m) - 3*s(m). What is the third derivative of d(k) wrt k?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 29. Solve 2*z + 0*z = v - 6, -16 = m*v + 2*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 9:31 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 0*w - 2*w)*(2*w**2 - w**2 + 2*w**2) + (-3*w + 6*w + 0*w)*(1182*w**2 - 605*w**2 - 300*w**2) as r*w**3 + m*w**2 + d*w + o and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19360 is divided by 924?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**3 + 2*a**2 - 4*a - 20. Let l(m) = -34*m**3 + 4*m**2 - 7*m - 34. Calculate -5*f(v) + 3*l(v).\nAnswer: -17*v**3 + 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 + 7955. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32307 - -17400.95?\nAnswer: -14906.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 880872 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + -32ad?\nAnswer: -3256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -1691, -9\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8 - 100*w + 8 + 109*w. Let a(u) = -597*u. Give l(a(y)).\nAnswer: -5373*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 197700521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-3 + sqrt(405) + 1) + -1)*3)**2.\nAnswer: -7290*sqrt(5) + 91854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2210 is divided by 790.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 229489.1km in micrometers?\nAnswer: 229489100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12920)\/(-380)*(-2)\/(-8)*-2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 3\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, r: 1, k: 4, u: 3}. Give prob of picking 1 r, 1 u, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*h**2 + 19525*h + 576*h**2 - 19525*h.\nAnswer: 171*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656 + 6*o - 174 + 476 + 0*o.\nAnswer: 6*o + 958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*n - 82*n - 60*n - 57*n as g + j*n and give j.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9538 and 12?\nAnswer: 57228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 12. Let w(v) = 1. Let o(s) = -p(s) + 2*w(s). Let z be o(5). Let b = z - 2. Which is greater: -8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4044298, 8088534, 12132768, 16177000, 20221230?\nAnswer: 24265458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -319123803*c + 75561045 wrt c.\nAnswer: -319123803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*p - 36 = 0, g + 8 + 4 = -5*p. Suppose -3 + g = f. Suppose -x - 1 - 8 = -4*h, -2*x + 8 = f*h. Solve -h*k - 3*k = -15, -9 = 2*s - 3*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21445 + -216?\nAnswer: -21664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 + 80 = 5*u - 5*i, -3*u - i - 180 = 0. Let l = 155 + u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1566 - 325. What are the prime factors of r?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3685 = -26*u + 24*u, 5*u = 5. What are the prime factors of d?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 477 (b) -0.32 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9819 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 + 4.9. What is the second biggest value in u, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/14 - (1816\/(-56) - -33). Solve 2*x + 34 = -v + 24, 0 = x + g*v + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 3576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785655*m**2 + 4*m - 3*m - 1785651*m**2.\nAnswer: 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4166237809.\nAnswer: 4166237809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -72, -139, -228, -339, -472?\n\"Answer: -11*z**2 - 12*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 15111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000151891874 to 7 dps.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40536, 38150, 35764, 33378, 30992?\nAnswer: 28606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -655.021 + 655. Let v = o + -16.579. What is v rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (899\/116)\/(-1*2\/(-16312)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 168382853, 168382851, 168382849, 168382847?\n\"Answer: -2*u + 168382855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.5, 1\/4, -3, 0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 491*y - 16189. Let f be g(31). Let a = -0.33 - -0.03. Let w = -0.5 - a. What is the third biggest value in -2\/5, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Let i be (605\/(-10))\/(6\/(-36)). Let w be ((-44)\/i)\/(o\/6). Which is the closest to 2? (a) w (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139531 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2339, 4691, 7033, 9359, 11663, 13939, 16181, 18383?\nAnswer: 20539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) -3 (b) -1\/7 (c) 17 (d) -4\/545\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*3 - 690465. Let w = m + 463464. Round w to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143702, -143704, -143706, -143708, -143710, -143712?\nAnswer: -143714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from dzrdrrg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 1313 - 1146. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -66*q**3 + 3*q**2 - 2. Calculate the remainder when x(-1) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*h = 0, -4*h + 15 - 3 = -2*z. Suppose 4*r + z*c - 4 = 0, -4*c - 31 = -3*r - 0*c. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-14) + 41\/((-11480)\/(-720)). Let a(i) = -i**2 + 3*i - 57. Let q(f) = -2*f + 56. Calculate c*q(g) + 2*a(g).\nAnswer: -2*g**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/58? (a) 0.2 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(160)\/sqrt(32) + sqrt(20))\/(2*sqrt(324)) - sqrt(40)\/(sqrt(8) + sqrt(128)*1 + sqrt(8))*-5))**2.\nAnswer: 605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4271652, 8543284, 12814916, 17086548?\n\"Answer: 4271632*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456086848 to the nearest integer?\nAnswer: 21356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from addfddvdddddvdddp.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 16*s + 111. Calculate x(-8).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - n**2 + 7*n - 9. Determine p(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 2*a + 0*a)*(2*a + 0 + 0)*((3 - 3 + a)*(2 - 1 + 0) + 0*a + 6*a + 25*a) to the form p + v*a + j*a**3 + n*a**2 and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737550164.\nAnswer: 2, 13, 659, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -775\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -347, -0.05, -3\/2, 0.5, -0.23?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*x)*(x - 1 + 1) + 580*x**2 - 1246*x**2 + 1036*x**2 as t*x + m + k*x**2 and give k.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 110231?\nAnswer: 6613.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/(-25))\/((-15)\/(-350)). Let n(s) = 19*s**3 - 63*s**2 + 36*s - 52. Let x be n(t). What is x rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -95*t + 651 - 4075 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/299 - 806\/(-276). Which is the fourth smallest value? (a) -4 (b) 1 (c) 4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -147\/274?\nAnswer: -147\/274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(-2)*(-18)\/(-6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 570 - 564.94. Let i = z - 0.06. Let y = i - 4.7. What is the third smallest value in -0.4, -1\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67\/172 + 6\/43. Let m = 1.2 - -3.8. Put m, c, -2\/7, 0.02 in ascending order.\nAnswer: -2\/7, c, 0.02, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3*(-6)\/(-45))*(-568)\/2130?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87964 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (24 + 1 + -22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8403 and 11204?\nAnswer: 33612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 42*x**2 - 3*x. Let s(z) = -2*z**2 - 2*z + 1. Let n(p) = 33*p**2 - 14*p + 5. Let o(g) = n(g) - 5*s(g). Determine 2*o(u) - 3*q(u).\nAnswer: -40*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5367 divided by 4?\nAnswer: 5367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -2277642.\nAnswer: 1138821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 186*a + a**2 + 104*a + 4*a**2 + a**2 - 4*a**2 + 1 - a**2 - 1 - a**2 - 2*a + 2*a + (0 + 0 + 2)*(-2*a**2 - a**2 + 2*a**2).\nAnswer: -a**2 - 82*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(5\/3)*d)\/(d\/d**(-3\/8)))\/((d*d*(d**0*d)\/d)\/d**(1\/12)))\/((d\/(d\/(d*d\/(d\/d**(-11)*d*d)*d*d)))\/d*(d\/(d\/d**2))\/d)**(-5) assuming d is positive.\nAnswer: d**(-405\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + sqrt(99))*5 - (4 + 2*sqrt(99))).\nAnswer: -20 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 + 17*a - 19. Let o be r(7). Suppose z - 393 = -3*z + t, o*t - 475 = -5*z. Calculate the smallest common multiple of z and 5.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**7\/42 + 4*h**6\/5 - 499*h**5\/20 + 683*h**4\/6 + 720*h**3 + 1216*h**2 - 21*h - 31. Factor s(k).\nAnswer: (k - 8)**2*(k + 1)**2*(k + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*f + 2281 - 130 = -1179 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3091, -6157, -9211, -12247, -15259?\nAnswer: -18241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28617 + -28617.3. Which is smaller: -0.5892 or n?\nAnswer: -0.5892","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1534 and 1?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/492344393 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.14\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11003355 less than -11003365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -2*n**7\/525 + n**6\/75 + n**5\/25 + 258*n**2. Factor l(p).\nAnswer: -4*p**2*(p - 3)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 4*h + 4*h. Let b(c) = c - 1. Let s(x) = 42*x - 38. Let w(k) = k - 1. Let y(q) = s(q) + 6*w(q). Let f(g) = -88*b(g) + 2*y(g). What is f(u(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5848834 and -17\/6?\nAnswer: 17546502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -423?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 156.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + r - 13 = t, 5*r = 3*t + 19. Find the third derivative of -5*o - 7*o**6 + o**6 - t*o**2 + 5*o wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 greater than 1257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0 + 0 - 12)*(2 - 7 + 4)*(-4 - 3 + 4)*(-14*q - 7*q + 3*q).\nAnswer: -648*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 7*s - 15\/2*s**2 - 2\/3*s**3 + 10. What is the smallest common multiple of 6 and z(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 3:55 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6783856.4*-0.4.\nAnswer: 2713542.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(sqrt(91) + sqrt(91) + -2*sqrt(91) + sqrt(91)) + sqrt(91) + (1*sqrt(91)*4 - sqrt(91)))\/(sqrt(1008) - 2*sqrt(1008)*1))**2 + 0.\nAnswer: -5*sqrt(13)\/2 + 1621\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1398 - -1. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -51, -7, 75, 207, 401, 669?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:12 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 613709?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**3 + n + 2. Let y be o(-2). Suppose -187 = 5*h - 2. Let l = h + y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 23*b**6\/30 + b**5\/60 + b**2. Let m be p(1). Suppose -3*q + m = -6. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513618 divided by 130134?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 383877*z\/8 - 47985\/8.\nAnswer: 3*(z - 15995)*(8*z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + -16c78?\nAnswer: -1700b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 7*z**2)*(-8*z**2 - 36*z**2 - 14*z**2).\nAnswer: 406*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10553564 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -30. Suppose -y*q = q. Suppose q = o - 2*o + 61. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4840*j + 3706*j + 36098 - 6614 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4303*k*s + 14421*k + s wrt s?\nAnswer: -4303*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 7124*a - 214620.\nAnswer: (a - 7154)*(a + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1148, 8, 1 in descending order.\nAnswer: 1148, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011996883 to 5 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + -4. What are the prime factors of i\/25*35\/(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388 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: Calculate prob of picking 1 d, 2 t, and 1 g when four letters picked without replacement from dygtyggtyty.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2509013 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 63523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3275.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 243316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 0) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.159 - 0.041. Let g = 0.1 + -0.1. Let o = g - y. Which is greater: -0.09 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1118300 = -4*z. Let r = 549543 - z. Suppose -r = 3*v - 2*h + 210022, v + 159995 = h. What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let u(n) = -120*n**2. Determine o(u(i)).\nAnswer: -43200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 8. Let t be q(6). Let s(d) = -d**3 + 5*d**2 - 3*d + 6. Let h be s(4). Let c be 5*(0 + 6\/h). Solve 2*p = -t*n - 3*p - 4, 10 = -5*n - c*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 2*j)*(2 - 2 - 2)*(j**2 + 6*j**2 + 2*j**2).\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -3\/5, -1, -1\/201, 3?\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769245 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: Suppose 2*p - 196 = 3*h + 2*h, -2*h = -2*p + 76. Let c = 51 + h. Find i, given that -4*i**4 - 3*i**3 + 13*i**2 - i**3 + c*i**2 - 8*i**2 + 16*i = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 39*h**2 - 3. Let s(r) = 3*r. Give v(s(m)).\nAnswer: 351*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 3 = 3*a - 3*s, -5*a - s + 10 = 0. Suppose -r - 5*h + 142 = 0, -372 = -3*r + a*h - 0*h. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1945, 3892, 5851, 7828, 9829?\nAnswer: 11860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 + -0.41.\nAnswer: -199.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-15))\/8*9\/(-30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8615, 17232, 25859, 34496, 43143, 51800, 60467?\n\"Answer: 5*z**2 + 8602*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 11*d - 48120. Suppose 5*z - 2861 = d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5311 (base 6) to base 3\nAnswer: 1122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33560539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 526624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -959403 at most -959410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc681c (base 13) to base 10.\nAnswer: 4441514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - -1 - 1. Suppose 0 = 3*c - 5*h - 0*h + 11, 2*h - 8 = m. Let f = -7 + 11. Solve 5*v + 5*n = 0, f = -c*v - n - 3*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 37*d + d**2 - 7*d + 9 - 24*d + 2*d**2 + 0*d**2. Calculate t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + 0 - 286\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-6))\/(2\/4). Suppose 0 = 4*j + p*x - 55, -2*j + 3*x - 4*x = -29. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -59*z + 55*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125467.58 rounded to the nearest 100?\nAnswer: -125500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*s - 2 + 22*s**4 + 18*s**4 - 678*s + s**2 - 42*s**4 + 207*s - s**3 to the form r*s + z*s**2 + j*s**4 + m + w*s**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in -5, -0.4, 1\/9, -4\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c + 2*c - 4*c)*(-327*c + 327*c - 28*c**3) as a*c**4 + t*c**3 + i*c + p + m*c**2 and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 130896905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 48, 83, 132, 195?\n\"Answer: 7*t**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(4807\/(-22)) + (-150)\/(-138)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13))**(-47)*(m\/m**(-1))\/(m\/m**(6\/11)) assuming m is positive.\nAnswer: m**(-813\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -60. Let o = t - 27. Sort o, 2\/5, 0 in ascending order.\nAnswer: o, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 65. Let q be (-3 + 3)\/1 + 0. Let o be x(q). Let b = o - 12. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/2)*39. Let j = q - 4. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.87135 days in nanoseconds?\nAnswer: 507284640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 231857*p**2. Let l(d) = 50*d**2 - 2. Determine l(k(r)).\nAnswer: 2687883422450*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2\/7*r**7 - r**3 + 0*r**2 + 0*r - 1 + 0*r**4 + 0*r**5 + 0*r**6. Find the third derivative of v(b) wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.17 - 8. Let s = -0.169928 + u. Round s to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 815*n**3 + 77*n**2 + 190 + 6*n - 30*n**2 - 199 - 50*n**2 wrt n.\nAnswer: 4890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24502 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Suppose 0 = -5*x - 0*x - 3*k + 71, 5*k = -5*x + 75. Suppose 14 = d - 0*w - 4*w, -5*w - x = d. Sort d, -4, f in descending order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, 4, -0.02, -37.6, 3 in decreasing order.\nAnswer: 4, 3, -0.02, -1\/22, -37.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.153789 tonnes to nanograms.\nAnswer: 7153789000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u. Suppose 6 = 2*f - 5*s, 0*s + 4*s - 3 = -f. Let w(k) = 5*k. Let c(p) = -2*p. Let i(t) = f*w(t) + 8*c(t). Determine i(j(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-1 - (12 + -26 + 9))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8033085ug in milligrams?\nAnswer: 0.0008033085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.04, -0.3, 5, 8, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 156 = 10*n. Suppose -63 = -t + 2. Let f be (10\/3 - 0)*n\/t. What is the nearest to -1.5 in f, 3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 615 - 611. Let o = -2 - -4. Solve o*v + 0 = -i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -49.6. Which is the third biggest value? (a) k (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219277?\nAnswer: 219277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**8\/f)\/f)**(-24))**(-1) assuming f is positive.\nAnswer: f**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 4*a**4 + 4*a**4 + (10*a - 13*a + 5*a)*(-2*a**3 + a**3 + 3*a**3) to t*a**2 + n*a**3 + g*a + w*a**4 + s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8370100 to the power of 1\/2, to the nearest integer?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -562657.4 rounded to the nearest one thousand?\nAnswer: -563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -488397 != -488398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 27*g**2 - 8*g - 8. Let r(l) = -140*l**2 + 42*l + 42. Let v(n) = -21*a(n) - 4*r(n). Let z(k) = 3*k - 17. Give z(v(y)).\nAnswer: -21*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - -1 - 0 - -23. Suppose 0 = -2*m - 0*m - g. Is (m\/15)\/((-4)\/318) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 11\/30*v**6 + 0*v**5 + 0*v**4 + 1\/3*v**3 + 0*v**2 + 0 + 3*v. What is the second derivative of s(f) wrt f?\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264559559 to the power of 1\/2, to the nearest integer?\nAnswer: 16265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 2390102*m.\nAnswer: -m*(m + 2390102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**27\/(y\/(y*y**(2\/11)*y)) assuming y is positive.\nAnswer: y**(310\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 7*g**2 - 2*g + 16. Let b be o(7). Let a(x) = -2 + 0 + 1 + 3*x + 2*x - x**b. Let h be a(4). Solve -y + 2 = -h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)*(w\/((w\/((w**(1\/4)\/w)\/w))\/w))\/w)\/(w\/((w*w*w**(-3))\/w)*w\/w**(-2\/7)))**(-50) assuming w is positive.\nAnswer: w**(8425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-266)\/931)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 927083448 and 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 29. Solve -2*y = j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - i**4 - 4)*(-3 + 1 - 1)*(-3*i - 10*i + 16*i).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10714*q - 7. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 14*k - 57. Let j be w(-6). Let z(s) = 50*s**2 + 4*s - 25. Is z(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 891084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 356 = -162*v. Let -15\/7*c**4 - 72\/7*c**v + 0 - 9*c**3 - 12\/7*c = 0. What is c?\nAnswer: -2, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrryqfrfqfybrb. Give prob of sequence ffbr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 2*n)*(-n + 3 + n + 2*n).\nAnswer: 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -703 * 66\nAnswer: -46398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/((-1245)\/11952). Solve 5*m - a + 6 = 3*k, -2*m - 2*k = -4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2752, -2936, -3120?\n\"Answer: -184*x - 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = d. Let n = 113 - 447\/4. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -4, -5, -1, 1 in descending order.\nAnswer: 33, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4215\/3120 - (-654)\/3488\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(3 - 4) + 36985\/5. Find the second derivative of -k**2 + k**2 - 7602*k + w*k + 115*k**4 wrt k.\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/42*(-4)\/(20\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -24*c**2 + c - 1. Let s(l) = 145*l**2 - 37*l + 6. Let g(y) = 6*b(y) + s(y). Let z(j) = 16*j. Calculate g(z(o)).\nAnswer: 256*o**2 - 496*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12779.37 and 5.3.\nAnswer: 67730.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1118 - 251. Calculate the remainder when n is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 4 + -4)*2. Let v(b) be the second derivative of -4*b - 3\/100*b**5 + 1\/60*b**4 + 0*b**z + 0 + 0*b**3 - 2\/75*b**6. Factor v(f).\nAnswer: -f**2*(f + 1)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1877152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.00493.\nAnswer: -0.01479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, a: 1, q: 2, s: 7, o: 1, h: 1}. Give prob of sequence sho.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/67 or 0?\nAnswer: -78\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1300)*3)\/((-4*sqrt(40))\/sqrt(10)).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + 4. Determine y(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205542\/5 or 41109?\nAnswer: 41109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2955 - 2928. Calculate the remainder when x is divided by 9\/(-3)*(-10)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**11*(((j*j*j**6)\/j)\/j)\/j**(-2) assuming j is positive.\nAnswer: j**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 17*j + 16. What is the remainder when 57 is divided by i(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49684394*d + 2*d**2 + d**4 + 49684396*d + 37*d**3 + 4*d**4 as i*d**3 + o*d**2 + x*d**4 + b + q*d and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and 737156?\nAnswer: 34646332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*120\/(-45)*(-3)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/36 - 10 - 16\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/354 and 26\/1239.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46360771?\nAnswer: 3607, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1726 - -838?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -157. Suppose -o + 5*n + 130 = 2*o, -5*o - n = -198. Calculate the highest common factor of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -718 - -2379. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316567.\nAnswer: 316567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82000517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90457215 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816\/17 at most 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3918 and 3.\nAnswer: 3918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.006 - -30.006. Let v = -30.00000057 + t. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(-3\/20)*(c\/(c**(-2\/3)\/c))\/((c*c*(c**(-2\/23)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(20513\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -321*l**6 + 10*l**4 - l**3 - 93802*l**2?\nAnswer: -38520*l**3 + 240*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 270729 in descending order.\nAnswer: 270729, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/17)*y*y**(-11) assuming y is positive.\nAnswer: y**(-169\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147816 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 2*v**2 + 7*v**2 + 3*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 268 - -8006170?\nAnswer: 8006448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*b - 12*b. Let m be 10\/b + (-2)\/12*3. Suppose m*n = 36 + 12. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343.39 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328 - -393. Suppose 5*b + 0*b - d = 2*t, 0 = 3*t. Solve -3 = 4*s + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2681 is divided by 297.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -446? (a) 2\/9 (b) 1 (c) -16\/11 (d) -2\/9 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/12 + 1\/(-6). Let k(y) be the first derivative of 1\/4*y**4 - 1\/3*y**3 + 7*y - 1 + 0*y**2. Give k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 2. Let z be s(8). Let c = z + 38. Let a(q) = q**2 - 7*q. Give a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10. Suppose 3*o + k = 2*g, 9*g = 5*o + 4*g. Let f(c) = -8*c - 1. What is f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.3 and -0.27.\nAnswer: 11.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*u**4 + 2592*u**2 + 3794627*u**3 + 12004*u - u**5 + 5276*u - 3794699*u**3.\nAnswer: -u*(u - 10)*(u + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c - 2*c**2)*(24*c - 10*c - 16*c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -737 + 737.1. What is the biggest value in -777, 3\/2, y?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 18*x + 2834. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -237*w + 1896. Let j be g(8). Let b(l) = -11*l + 5. Calculate b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/15 and -13\/883656?\nAnswer: 4418280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 83 = -4*m + y, -15*m = -2*y + 96 - 398 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -989, -3\/7, -3389?\nAnswer: -989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 2*j - 97. Let y(v) = -v**2 + v - 1. Let b(t) = -x(t) + 2*y(t). Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2*235\/60)\/3 and 169\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 5?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 9*y - 2*y**2 - 4659*y**3 + 2328*y**3 + 2329*y**3 to the form t*y**3 + z + v*y**2 + l*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**3 + 8*i**2 - 14*i + 7. Let w(a) = -2*a**3 + a. Let g(d) = -m(d) - 6*w(d). Calculate g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + (-798)\/(-1368).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.68 - 0.68. Let l = -32.6 + t. Let m = l + 5.6315. What is m rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let j be n(6). Let f = j - 1. Let y be f\/(-21)*2*3. Which is the nearest to y? (a) 1\/2 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1597 - 1544. Which is the second biggest value? (a) -0.06 (b) i (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.071 - -14.271. Let k = -13 + d. Let g = -1.1999938 + k. What is g rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*u + 775, 3*u = -3*q + u + 440. Let b = -54 + q. Let r = b + -17. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.029 and 32.6?\nAnswer: 0.9454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1017366 by 21.\nAnswer: 48446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14360403005.1320577 - -14277251960.13207. Let v = q - -83151065. Let y = v + -20. Round y to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1*(-15)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2709*t**2 - 2699*t**2 + 9*t - 27 + 28 in the form y + u*t**2 + j*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965334 to the power of 1\/2, to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*z - 98 - 408. Solve 0 = -4*l + z - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 18*g**2 - 35*g - 148. What is y(0)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 + 33182*k**2\/15 - 27502886*k\/3 - 964227614\/15.\nAnswer: -2*(k - 8299)**2*(k + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and 19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013197723 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -2. Let s(c) = -4. Let h(y) = -2*y - 10. Let x(u) = h(u) - 3*s(u). Let d(k) = 2*k - 3. Calculate f*d(g) - 3*x(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108730.939 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 1. Let n = -16 + 15. Calculate o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:13 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 15 + 1. What is the remainder when 6 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 6*m + 6. Let t be b(8). Suppose 465 = 3*g - 5*f, 0*f - 2*f - t = -2*g. Suppose -9 = -4*v + g. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8134156 divided by 4\nAnswer: 2033539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12167862 divided by 6.\nAnswer: 2027977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2570 - 180 = 110*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-222)\/592?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 101 and -58.9653735961?\nAnswer: 159.9653735961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8 + (-14 + 713 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s*s**(2\/9)))\/s))**(8\/3)*(s\/(s\/(s*s**(-2))))**(-15\/8) assuming s is positive.\nAnswer: s**(2261\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56085 (base 9) to base 13.\nAnswer: -13c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 357 = 18. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 4*m.\nAnswer: 2*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784663.\nAnswer: 293, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145690 by -5.\nAnswer: -29138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71606 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 5*m**6\/24 + m**5\/30 + m**4\/8 - 8*m**2. Let g be y(-2). Let f = -111 - g. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*6\/27*6. Let q(o) = -o**2 + 3*o + 1. Let s be q(5). Let h = a - s. Calculate the remainder when 8 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25883, 49924, 73965, 98006?\n\"Answer: 24041*b + 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 10*g - 3*g + (-4 + 2*g + 4)*(1 - 5 + 5) + (5*g - 2*g - g)*(-3 + 3 - 1))*(6 - 1 + 3) to the form l*g + z and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -112857 (c) -0.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-6 - (-7 + -3)) + -12 + -8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3142681 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565973 to the power of 1\/2, to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 38 = -60. What is the remainder when 43 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v + 9. Let t be l(0). Let f be t - (2 + (-26)\/(-4)). What is x in -2*x + 2*x**4 - 5*x**2 + 4 + 1\/2*x**3 + f*x**5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898480 < 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -522, -531, -544, -561?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81\/4 - 100*c**4 + 630*c**3 + 567\/2*c - 4329\/4*c**2.\nAnswer: -(c - 3)**2*(20*c - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 260, 523, 786, 1049, 1312?\n\"Answer: 263*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - 8*w + 6. Let m be k(3). Suppose 1 = -b + 2*g - 5*g, g - 33 = 3*b. Let r = b - -14. Sort 1, m, r in decreasing order.\nAnswer: r, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14539 and 2.\nAnswer: 14541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 49*o + 8974808 - 8974808. Let k(c) = 9*c + 1. Determine k(r(t)).\nAnswer: 441*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-252)\/(-294))\/(2\/140). Calculate the greatest common factor of o and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18085\/(-942))\/5 + 6\/2. Let q = 1\/157 + f. Which is the nearest to -0.1? (a) -3\/2 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/5))**(-2\/5))**34)**(3\/14) assuming k is positive.\nAnswer: k**(-204\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8387302 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -4*d**2 + 0*d**3 + 1\/20*d**5 + 0*d**4 + 0 - 1\/112*d**8 - 3\/40*d**6 + 3\/70*d**7 + 0*d. Factor u(b).\nAnswer: -3*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*1) - (sqrt(3) - sqrt(27)\/sqrt(9)*-6) - (-1*(1 + sqrt(1728)))**2.\nAnswer: -1729 - 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-7) + 60\/140. Solve -p - p = -j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -29323\nAnswer: -20\/29323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = -0. Let l(y) = 43*y + d + 0 + 3 - 4. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**2. Let s(d) = -2*d - 5. Let o(k) = 11*k + 3. Let l(t) = 3*o(t) + 2*s(t). What is l(x(v))?\nAnswer: 493*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 - 3*z - 3. Let i be q(-4). Let j be (-58)\/(2\/1) - (16 + -16). Let a = j + i. Solve -3*r - r - 2*v - 16 = 0, -4*v - a = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 2*r**2 - r + 2*r**2 + r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*q + 30. Suppose -q*o + 67 = -38. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u + 2. Let o be j(3). Let d be 38\/14 - (-4)\/o. Suppose 0*v - d = -v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 2730645*g - 38229618 = 0.\nAnswer: -910229, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139845, 558298, 1255719, 2232108?\nAnswer: 3487465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + -5.7. Let k = -10 - p. What is the nearest to -0.1 in k, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311730 (base 8) in base 5?\nAnswer: -43144103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usqhhqqqqqqqquqquuh. What is prob of sequence sqq?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(0 + (-45)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*q + 0*q + 2*q)*(0*q - 3*q - q) - 5*q**2 + 3*q**2 + 3*q**2)*(-779 - 753 + 2516) as k*q + z*q**2 + o and give z.\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.101497 and -0.3569.\nAnswer: -0.255403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x. Suppose x = 4*g - 0*g - 8. Suppose 4*f + 5 = o + 4*o, 0 = g*f - 4*o + 4. Solve f*v = 4*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkttvvtv. What is prob of sequence vkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11)*1*(-5)\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7828\/(-646) + ((-72)\/(-34) - (4 + -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 3*o + 0 - 1\/24*o**4 - 5\/6*o**3 + 3\/2*o**2. Let c(m) be the first derivative of b(m). What is c(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290\/9 + -2015\/36. Suppose s + 5*j - 26 = 0, -4*j - 4 = -2*s - 22. Calculate the common denominator of s*2 - 139\/22 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 9 = 0. Let n(c) = 754*c - 8. Let u be n(1). Suppose -s*o = -o - u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:53 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299326251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4 - 608*f**2 + 300*f**2 + 287*f**2 + 2*f**3 + 2*f**3 + 16*f. Is b(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/839 in -0.06, 7\/13, 1, 9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-161)\/1656 + (2 - 48\/27). What is the closest to -3\/23 in -2, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 - 19162*i - 45584940 = 0 for i.\nAnswer: -5186, -4395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + x**3 - 4*x**3)*(3 - x - 3)*(69 - 2*x - 86 - 167).\nAnswer: -6*x**5 - 552*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 8*n - 9. Let s be t(-6). Suppose -5*o + i = -62, -o - i + 4 = s*i. Suppose 5*k + o = 132. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 + 28*j**2 + 6*j**2 + 18*j**2 + 9*j**2.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/5 of a century?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 2*n - 1. Give i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/4 + -21\/8. Sort -0.2, c, -1 in descending order.\nAnswer: c, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2246 = 2*f, 2251 = -5*f + 7*f + 5*l. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*l*q*u**3 - 41*l*q*u**2 + 162*l*u**3 - 3*l - 45*q*u**3 - 3*u**3 - 6557*u**2 wrt u?\nAnswer: -132*l*q + 972*l - 270*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*s = 3, 15 = -s - 4*s. Suppose 2*b - 9 = -57. Let c be 6\/b + 97\/4. What is the greatest common factor of w and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3\/13 (c) -1\/146 (d) -0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2180)\/(-35) + 4\/(-14). Let f = -46 + i. What is the remainder when (14 - 13)*(f + 1) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 4. What is the remainder when 50 is divided by b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287674767?\nAnswer: 3, 349, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/374 at least as big as 414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 1, p: 3, g: 5}. Give prob of sequence ag.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p**(-10\/17)\/p)\/p)\/p)*p*p*p*(p\/(p*p\/p**(5\/7)))\/p*(p**(-37))**(27\/7) assuming p is positive.\nAnswer: p**(-2319\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.0063 + 99. What is v rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -211177\nAnswer: -2\/211177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 3*y**4.\nAnswer: -y**4*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/15 + 2366*f\/15 - 788\/5 = 0.\nAnswer: 1, 1182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 19*q - 35 = -5. Let -5\/3*k + 22\/3*k**4 + 0 + 26\/3*k**q - k**5 - 40\/3*k**3 = 0. Calculate k.\nAnswer: 0, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -25) + -3 + 6 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from {t: 3, o: 8, i: 2, y: 3}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(108\/213570*-35)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1000000?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*d = -0*j - 3, -2*j = 4*d - 30. Suppose 1 - j = -2*p. Suppose 0 = -5*c + c. Solve -16 = -p*b - c*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-3 - -2 - 132\/(-110)). Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 2}. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.08. Let k(j) = 37*j - 469. Let g(i) = -79*i + 939. Let y(s) = 3*g(s) + 5*k(s). Let v be y(9). Sort d, 3, v in descending order.\nAnswer: v, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -0. Sort t, -4, -1 in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -729*b - 869 - 5695, 0 = -5*m + 4*b + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*-1*-2) + -5*(sqrt(114) - sqrt(114)*-3))\/((sqrt(1080)*-2 - sqrt(1080))\/(-1*sqrt(20))))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 1009 + 112 - 95)*(0*f - 3*f + 2*f) as n*f + y and give n.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - -3) + -5 - 7 - (-13 + 11).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.267 or 0.0338?\nAnswer: 0.0338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(1*18))\/(-17*5\/(-340))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 644, 2658, 6026, 10754, 16848?\n\"Answer: x**3 + 671*x**2 - 6*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9255*b*h**3*q + 2*b*h**3 + 188*h**3*q + 3*h**3 + 17*h*q - 2*q wrt b?\nAnswer: 9255*h**3*q + 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 1. Let z be g(-1). Let w = z + 9. Suppose 133 = a - 2*u + 6*u, 0 = -4*a + w*u + 532. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*j + 2 = -0, 3 = 3*j. Solve b = -3*o - 14 + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/439642 and 59\/868?\nAnswer: 879284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260639279*g - 507608255 wrt g.\nAnswer: 260639279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2, -4*i + 5*b + 35 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -15 in descending order.\nAnswer: 2, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 7*b - 4*b + (3 - 3 + 1)*(b + 0*b - 2*b) + 0*b + 8*b + 6*b - 3*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c = 388*c - 7069 + 1583 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -68*d**2 + 40*d**2 - 48*d + 34*d**2 - 5. Let b be a(8). Put -59, b, 4 in decreasing order.\nAnswer: 4, b, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 1\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 + 6429*h**3 + 64083*h**2 + 198459*h + 191970 = 0?\nAnswer: -2133, -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/15 and -32\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-4*k - 2*k + 4*k) - 1 + 1 + 3*k)*(-185*k + 144*k + 140*k).\nAnswer: -99*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 * 0.1\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 57*i**2 + 226*i + 1314. Calculate c(52).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-35))\/(225\/375)*336.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18614, -18626, -18652, -18698, -18770, -18874, -19016, -19202?\nAnswer: -19438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 >= 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7598, -4 in increasing order.\nAnswer: -7598, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14066 + 24643. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {k: 5, b: 1, u: 3, e: 3, v: 1, t: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482605079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 8 - (5 - 21 - 2) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-8)*n*n\/(n**(-10)*n)*n)**(-7\/4))**37 assuming n is positive.\nAnswer: n**(-1295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -329401917, -329401915, -329401913, -329401911?\n\"Answer: 2*o - 329401919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.822141.\nAnswer: -0.2466423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -118, -178, -254, -352, -478, -638, -838?\n\"Answer: -x**3 + x**2 - 46*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-186)\/12. Let p be u\/12*((-66)\/4)\/(-1). What is the third derivative of 56*c**2 - 48*c**2 + p*c**3 - 9*c**3 wrt c?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37b (base 12) to base 6.\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1466?\nAnswer: -2\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 30. Calculate the remainder when 28 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -528? (a) -3 (b) -0.1 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3 + 7. Suppose 2*n = u*n - 10. Suppose 136 = -n*m + 381. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 464748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15399 divided by 708\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 - 11*u**2 - 7*u + 81. Let v(a) = -13*a**3 + 21*a**2 + 14*a - 163. Let t(q) = -3*v(q) - 5*y(q). What is the hundreds digit of t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 6 = 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.047 + -32.047. Let w = -10 - f. Let p = w + -24. Which is the second smallest value? (a) 1\/4 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 1.3. Let t be (2*3\/(-24))\/(65\/(-40)). Sort -3, c, 1\/6, t in descending order.\nAnswer: 1\/6, t, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -67. Suppose -3*d**2 - 19 - 5 + l = 0. Calculate d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 6. Let h(f) = 19*f - 43. What is -h(l) + 2*x(l)?\nAnswer: -15*l + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*t**2 + 41235*t + 1298495.\nAnswer: -18*t + 41235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Let d be (-3 - (-3)\/1)\/r. Suppose 6*i = 2*i. Solve d = -i*u - 5*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 0.4 (c) -1420 (d) -2\/5 (e) -1 (f) -784 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 16 + 52*q + 17 - 63*q. Let n be z(-5). What is the highest common factor of n and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 324 = -359 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4786 is divided by 125.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/6 - 3*n**2 - n. Let m(p) = -p**3 - 21*p**2 - 2*p - 37. Let i be m(-21). Determine d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27856 divided by 5.\nAnswer: -27856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 48. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2) - -9 - -1024. Suppose -3*o + h = -338. What is the lowest common multiple of o and 7?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzrrezzrzrzrz. Give prob of sequence ze.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003309686753 rounded to seven dps?\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/168 - a**6\/12 - 3*a**5\/8 - 5*a**4\/6 + 137*a**3\/6 + 4*a**2. Let q(v) be the first derivative of j(v). Factor q(x).\nAnswer: -5*(x + 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*o + 4015 - 24958, -3*o = -4*z + 83829. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*z**3 - 3*q**2*z - 8*q**2 + 4*q*z**3 - 1897*q*z + 68789*z**3 + 3*z wrt z?\nAnswer: -6*q**2*z + 24*q*z + 412734*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5ebc6 (base 16) to base 2\nAnswer: -1011110101111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.405 less than -5?\nAnswer: -4.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164717 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:33 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4765\/3558 - 7\/1186. Let n = -0.3 - -0.2. Let d = -2.8 + 3. Which is the nearest to n? (a) d (b) 0.11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 4*p + 32, 5*x - 44 = -4*p. What is the lowest common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -1828827?\nAnswer: -36576.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3351*g*r*u**2 + 8*g*r + 31*g*u**2 - 2*g - 2098*r*u - u wrt u?\nAnswer: 6702*g*r + 62*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = 0. Suppose -476 = -230*n + 214. Solve 3*u + y = -n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-44)*27\/(-9))\/((-261)\/(-24)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -72. Suppose -14 = -s + d. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55022 times -585\nAnswer: 32187870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110200200 (base 3) to base 14\nAnswer: -352c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*p, -2*w - w = -2*w - 5*w + 42*p + 190 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -20*c**3 - c. Suppose -b = 2*b + 3. Let s be k(b). Suppose 4 = 2*n - 4*z - 18, 4*n - 38 = 5*z. What is the highest common divisor of s and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 5*j**2 + j + 1. Let p be a(5). Suppose -p = 3*m - 5*m. Suppose -444 + 3591 = m*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12131 - 12121. Let l(y) = -7*y + 55. What is l(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7790*s + 15360*s - 7570*s + 2826*s**2 - 2824*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15745851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = -4, -4*o + 4*n = -20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*s + 132*s = 324 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 5. Let c be g(6). Let p = 13 + c. Let w be -2 + -1 + 1 + p. Solve -3*s = -3*k - 12, 5*k - 2*s = -w - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 692907 and 6147?\nAnswer: 1419766443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 38 = 4*m - 245, -156 = -3*m - 3*x. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 6*v - 2. Let s be y(-5). Is 0.2 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*f + 2*b, 5*f = 2*f + b + 8. Suppose -u + 3 = -5*w - 0*u, -u + 3 = 3*w. Suppose w*n = 5*n - 25. Solve 3*i = n*i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 26. Suppose 41 + 50 = l*r. Let x(h) = -6*h**2 + 5 + 2*h**3 - 4*h - h**3 - 10. What is x(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/168 and (1473\/630 + -3)\/(12\/(-30)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h - 19. Let o be j(5). Let b = o + -41. Suppose 0*t + 11 = -2*t - 3*l, 2*t + l = -1. Sort -4, t, b.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16378 + 25978. Suppose 0 = 6*n - 30*n + j. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjccbh. Give prob of sequence cj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7900\/9431217 - -6\/7649. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35691, -35693, -35695?\nAnswer: -35697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -136580*x + 136584*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 46*a**2 + 198*a - 2. Calculate s(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -9. Put g, 1, 0 in descending order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*c + 6, 0 = 4*u + 4*c + 5 + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca - 186?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6036?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212310302 (base 4) in base 6?\nAnswer: 22351254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3596 by 380244.\nAnswer: -899\/95061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {k: 1, t: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 4. Let q be k(-3). Suppose 60 = 7*n - q*n. Suppose 3*v = 3*i - 66, -n = -i - 4*v - 0*v. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -174, -758, -1342, -1926, -2510, -3094?\n\"Answer: -584*q + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 37 = -j - 8, 4*j - 140 = -4*p. Calculate the remainder when 737 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((4 - -5 - 3) + 98\/(-16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -12*t + 68, -2*t + 17 = 4*c - 5*t. What is the remainder when 3503 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 177*t - 4*t + 3979. Solve 24 = -3*a, -t*a + 4 = q - 24*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhibhshhihdssh. Give prob of sequence bs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4802*s**5 + 32928*s**4 + 84672*s**3 + 96768*s**2 + 41472*s.\nAnswer: 2*s*(7*s + 12)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**4 + 480*z**3 - 978*z**2 + 474*z + 18. Let t(s) = 3*s**4 + 240*s**3 - 489*s**2 + 236*s + 10. Let f(u) = 9*t(u) - 5*y(u). Factor f(v).\nAnswer: -3*v*(v - 1)**2*(v + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = z - 3*s, 556*z - 552*z = -5*s + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3383 + 1715 + 1719 - 32*f to the form d + i*f and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**5 + 3*j**4 - 4*j**3 - 3. Let l(t) = -t**5 - 2*t**4 + 3*t**3 + 2. Let i(o) = 3*l(o) + 2*r(o). Determine c, given that i(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2 + 2178*r - 544.\nAnswer: -2*(r - 272)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2128*i**2*t + i*t - 2*i - 1889 wrt i?\nAnswer: -4256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k**7)\/(k**5*k*k*k**4) assuming k is positive.\nAnswer: k**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.2241 or -2\/11?\nAnswer: -3.2241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-90)\/12)*-3. Put 1\/2, -3, s in descending order.\nAnswer: 1\/2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275968 and 22.\nAnswer: 275968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)\/(2\/(-6)). Let c be 10\/3 - (-1)\/l. Suppose 2*k - 7 = 17. Solve -21 = 5*n - 2*a, 3*a - k = c*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjx when four letters picked without replacement from jjjjjjjjxxjjxjj?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79137\/12 + (-13)\/(-52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5\/(50\/14))*12390\/7670\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, 3, 2 in ascending order.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (325\/(-390))\/(20\/(-4) + 65).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -0.0853.\nAnswer: 0.07677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 233*i**4\/12 - i**3\/3 - 799*i**2\/2 + 1658*i. Differentiate z(p) wrt p.\nAnswer: 466*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r - 119 + r**3 - 2*r**3 + 121 in the form h*r + a*r**3 + q*r**2 + k and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/108 - -25\/108. Let x = -307 - -311.06. Let p = x + -0.06. What is the second smallest value in q, -3, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 15*x**2 + x - 9. Let y(z) = -3*z**3 + 13*z**2 - z + 10. Let i(c) = 2*h(c) + 3*y(c). Calculate i(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 8:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.976 + -0.9757296. Round o to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + sqrt(1216) + 3 + sqrt(1216) + 5 + -4 + sqrt(1216) + -3)**2.\nAnswer: 64*sqrt(19) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + n - 16 = -3*h, 0 = 5*n - 4*h + 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 36 - 89 = d, -5*h - 4*d = -580. Suppose 6*n - h = 2*n. 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: In base 6, what is 452 + 15122?\nAnswer: 20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 413.0459 + -0.0459. Let d = -433.12 + m. Let x = d + 19. Round x to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-130)\/(-25) + 2\/(-10). Solve 3*f + 7 = v + f, 4*f = -m*v - 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -186 - 17*l + 30*l - 99 wrt l?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.94 + 0.06. Let h = s - 21.1. Round h to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -268 (c) -5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = s - 3, s + 0 = 2*z - 18. Suppose 45*r = 47*r - 2. Which is the smallest value? (a) r (b) z (c) -0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 0, 3 + 9 = 3*b - 3*d. Suppose -2*a + 500 = -b*a - t, 0 = -5*a + t + 1250. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + b = -99, -86 - 15 = -2*u - b. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258920 = -25*p + 173680. Suppose 8*v + 6*v = p. Is 73 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3be4e4 (base 15) to base 10\nAnswer: 2883364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26. Suppose -7*g = -23*g - 288. Is (-8838)\/g + (0 - m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256a3 (base 12) to base 14.\nAnswer: 16a951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260 - -279) + 1 + -6 + -8 - -55?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/10)\/(5\/(-90)). Solve 35*j + z = 32*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2518772 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 852 in 1, -11, 1\/3, -1, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-6) - 3\/9. Let w be l\/(-9) - 10\/(-24). Let g = -1697\/5 - -339. What is the second smallest value in w, g, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -17697915?\nAnswer: 17697915.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -7*a + 2*a - 13, -7*a = -7*a - a - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l, -3*l = -3*i - 2 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 79783?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from ooqooovof?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 2*b**2 - 1. Let q be r(-1). Suppose -18 = -4*p - c, q*c = 2*c - 4. What is the highest common factor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1092)\/(-819))\/(((-9)\/(-6))\/((-1)\/2))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 729*f. Let n(l) = -243*l. Determine 3*b(s) + 8*n(s).\nAnswer: 243*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2851 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 + 116 = 0. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 6. Let z be l\/5 - 22\/(-10). Suppose z*f - 71 = -0*f - 5*q, -2*f - q = -59. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1))*l)**(-26)*l**3*l**(-5\/4)*((l*l**10)\/(l\/l**4))**(2\/101) assuming l is positive.\nAnswer: l**(-20189\/404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27663 times -0.9?\nAnswer: -24896.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122734 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20512217 divided by -6?\nAnswer: -20512217\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**3 - 36*d**2 + 11*d - 135. Let m be p(-8). What is the third biggest value in 0.4, m, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*(-50)\/9200*-24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 + -383914?\nAnswer: -381373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7 (b) -0.03 (c) 5\/4 (d) 2 (e) 3 (f) -2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 43619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:06 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = -4*t. Suppose 2*r = -5*o + 2, -5*r + 3*r = 3*o + t. Let g = -2 + o. Sort 2, -20, g in increasing order.\nAnswer: -20, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4905.\nAnswer: 1\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28492*n - 80 = -5*l + 28497*n, -44 = -5*l + 3*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243584547667331\/17010 - 14320079222. Let x = -2\/8505 - h. Find the common denominator of -89\/12 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, -4357, 5.\nAnswer: -4357, -5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 872416031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**8\/1008 - n**7\/630 - n**6\/120 + n**5\/36 - n**4\/36 + n**2 + 2. Let h(u) be the second derivative of v(u). Factor h(k).\nAnswer: k*(k - 1)**3*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1959 is divided by 641.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 16*f + 20 = 0. Suppose -4*o + 6*o = f. Suppose 5*c - 3*j = 15 + 7, 0 = -o*c + 3*j + 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.391 - -5.609. Sort v, 2\/3, 3 in descending order.\nAnswer: v, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/2183 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + (sqrt(126)*-2 - sqrt(126) - sqrt(126)))*2)\/(sqrt(42)\/(sqrt(6) - (-1*sqrt(6) + sqrt(6)))) + 3.\nAnswer: -18*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcgh when four letters picked without replacement from {v: 1, h: 1, g: 1, k: 1, c: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = 2948824. Suppose -362794 = -k + s. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138551113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 - 634 = 5*j. Which is the fourth biggest value? (a) j (b) 0.4 (c) 3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104944 + -104825.106. Let a = -119 + u. Let y = 0.1 + a. Round y to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256.62 months to years.\nAnswer: 271.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(((-5)\/2)\/(-5)). Suppose -p*f - 2*f + 900 = 0. Suppose 3*z - f = -3*g, 3*g - 185 = 3*z - 41. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 29. Let s(g) = -g**3 + 7*g**2 + 3*g + 4. Let m be s(7). Is 3074\/b - 10\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.132 + -111.132. Let r = g - -106. Sort 3\/4, r, -11, 0.5 in decreasing order.\nAnswer: 3\/4, 0.5, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1331*g**4 + 129*g**2 - 97617*g wrt g?\nAnswer: 15972*g**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36153.74km in centimeters?\nAnswer: 3615374000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -574, -871, -1174, -1483, -1798?\n\"Answer: -3*o**2 - 282*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 152 = -4*d, -2*n + 2*d + 26 = -102. What is the greatest common divisor of n and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, -4, -31, 3, 28 in decreasing order.\nAnswer: 28, 25, 3, -1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/35 + (-1108440)\/122850 + 9?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.174023+-107.7\nAnswer: -107.525977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.243 - -144.757. What is the smallest value in 0.4, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-15)\/6 + 5. Which is the closest to f? (a) -2 (b) 8\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 11.7, -5, 5, 3\/55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4690 - -1589911\/339. Calculate the common denominator of 49\/1243 and a.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345331811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 13572*g**4 + 5*g**2 + 1410 wrt g.\nAnswer: 60*g**2 - 325728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, b: 2, o: 5}. Give prob of sequence zb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -284.\nAnswer: 1\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1 + (-42)\/(-1). Let t = -25 - 52. Let c = q - t. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207150560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-16)*q*q*q**(-6\/13)*q*(q*q\/q**(-6\/11))**(-45) assuming q is positive.\nAnswer: q**(-18162\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 408, 619, 830?\n\"Answer: 211*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10395 and 99495.\nAnswer: 696465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from ijijijjjjjiji.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 20 - h**2 - 2\/21*h**3 + 0*h. Factor p(b).\nAnswer: -2*b*(b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/24 + 4535*c**3\/6 + 74*c**2. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7313 rounded to 2 decimal places?\nAnswer: 10.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 7062?\nAnswer: -7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/9 - 4676*j**3\/3 + 4678*j**2 - 8*j\/9 - 18712\/3 = 0. What is j?\nAnswer: -7017, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1180, 4713, 10602, 18847, 29448?\nAnswer: 42405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**4\/24 + 3*s**2. Let n be k(9). Let d be (n\/(-6))\/(6\/32). Solve 4*f + 0*f = d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4059 and 1267200?\nAnswer: 51955200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4175.368 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 2*b = -218, 5*y - 135 = -b + 22. Solve -88 - y = -40*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -2 + 3 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h. Let a(u) = 14*u. Calculate y(a(w)).\nAnswer: 126*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.02 - 0.02. Let d = j + -51.88. What is the closest to d in 5, 3\/7, -4\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 11402292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -177*y**2 - 65*y - 5. Let i(q) = -q. Calculate i(p(z)).\nAnswer: 177*z**2 + 65*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -212122?\nAnswer: -212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 - 7 - 7*l**2 - 4*l**2 with respect to l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2442617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -41, -76, -147, -266?\n\"Answer: -2*c**3 + 3*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35289 + 87910. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15635 is divided by 987?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 217.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.1 * 8915.\nAnswer: -54381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*b + 49*b + 55*b + 60*b + 66*b - 436*b + 184*b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, -19, -3\/11, -5, 2, 0.2, -1168?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301331 (base 4) in base 6?\nAnswer: 53433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/3 + g\/3 - 2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 16*d**4\/3 + 32*d**3\/9 - 14*d**2\/3 + 4*d\/3 + 12. Suppose k(a) = 0. What is a?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 6:05 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2685394 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 75 = -8*r. Solve 5*v - 4 = -i, 0*v - v = r*i - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 2. Let n be 6 - 2*(-2)\/(-4). Let f = n + -2. Let q(k) = 1. Let l(t) = f*q(t) - g(t). Differentiate l(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -37*x**7\/15 - x**5\/30 + x**4\/6 - 521*x**2. What is the third derivative of v(k) wrt k?\nAnswer: -12432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 12\/(-4 + 0). What are the prime factors of 1*44 + (c - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(378\/(-3976)) + -22. What is the greatest common factor of 12445 and z?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*r - 8, -2 = -3*g - r - 0. Suppose 0 = -2*f - q + 12, 2*f + 5*q - 20 = -g*f. Solve -f*o - 3*s + 17 = -3, 4*s - 12 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 - 3*o**2 + 15*o**3 + 9*o - 15 + 12*o. Suppose 15*q - 28*q - 13 = 0. Let k(x) = x**3 + x - 1. Let s(t) = q*j(t) + 12*k(t). Factor s(n).\nAnswer: -3*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21468 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: Let f be 3 - 0\/(-2)*-1. Let x = -3\/17 + 49\/85. What is the nearest to 2 in f, x, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27324 is divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -24 + 10 + (-12 - -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(81)\/sqrt(3) - sqrt(27)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4560 and 2888.\nAnswer: 86640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:12 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 0. Let b(f) be the second derivative of -3\/2*f**2 + z*f**4 + 1\/5*f**5 + 0*f**3 + 0 + 2*f. What is the derivative of b(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t + 1. Let b(l) = l. Suppose 3*s = 9*w - 8*w - 14, 2*s + 12 = -2*w. Give w*j(k) + 2*b(k).\nAnswer: -9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.023 and 13.591.\nAnswer: 13.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 644*m**2 + 2*m + 6. Let f be d(-5). Suppose 0 = -3*b + 9, 5*v - f = 4*b - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 101?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3 (b) -1\/5 (c) 0.8 (d) -0.8 (e) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -141*n**7\/70 + n**6\/120 - n**5\/60 + 37*n**3\/6 + 332*n**2. What is the third derivative of m(p) wrt p?\nAnswer: -10152*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247934 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = h + h - r, -h - r = 690. Let a = -674 - h. Solve a = -4*q + 2*q + 4*l, 5*q - 11 = -4*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 237.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -18. Let y = 13 - 5. Let i = y + -6. Sort -4, m, i in descending order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 774 and 688.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - (-17)\/3)*(-18)\/21. Solve 3*h + b - o*b = 15, h = 3*b + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/3965 and -139\/90.\nAnswer: 71370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -87. Suppose -a = f*h - 249, 3*h + a - 371 = -a. What is the remainder when h is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 1 + 8*a + 1 - 12*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*t - 12, 0 = 2*t - t. Let b(f) = -f**2 - 3*f + 5. Let c be b(-4). Let i be 14 + -3 + c - 0. What is the highest common divisor of s and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*o + 4*g - 122, 81 = 2*o - g. What is the second derivative of -24*r + 16*r - o*r**2 + 38*r wrt r?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520\/624*1776\/120\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2110, 2277, 2454, 2647, 2862?\n\"Answer: x**3 - x**2 + 163*x + 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -40. Suppose -t*q - 24 = -6. Is 16 a factor of -2 + (-7 - -1)*25\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 475*l + 483*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01195628 less than -4?\nAnswer: -3.98804372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + 0*g)*((5 - 2 - 1)*(-5 - 2 + 5) + 1 + 2 - 5 - 1 - 3 + 2 + (0 - 2 + 0)*(-1 - 5 + 4)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let w be -1 + (3 - m - 1). Is 162 + -3*(-1)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32\/115, 0, -4\/9 in decreasing order.\nAnswer: 0, -32\/115, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235571876.\nAnswer: 2, 73, 179, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3495*j = -6948*j + 3476*j + 736 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 352 + 228 - 550.\nAnswer: -2*c + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuyy when four letters picked without replacement from ytyutyttyyu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 + 2*u + 1. Let m = -7 + 10. Let f be (m + -4)\/(1\/6). Let w = 5 + f. Determine q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3*sqrt(7) + -1 - ((sqrt(77)*3 - sqrt(77))\/sqrt(11) + sqrt(7)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q - 585 + 145 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, 8369, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) 0.3 (d) 2\/15 (e) -328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -16 - (-414 - -410).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*f = -15, -n + 5 = -f - 0*f. Suppose 640000 = -2*g + n*g. Let r be (0 + 19)\/((-8)\/g). What is r rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((2*2*sqrt(187)*-3)\/(3*sqrt(704)))**2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 - 3*j**2 + 3*j - 3. Let q be n(2). Let x = -20 + q. Solve -4 + x = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 23*p - 504. Calculate the remainder when 1468 is divided by a(37).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8098 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -24. Let a = -27 + f. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfzdcdx. What is prob of sequence md?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 12*x + 135.\nAnswer: -3*(x - 5)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818889.\nAnswer: 19, 95731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-3 + 5 + -4). Differentiate -15*m**v + 10 - 16*m**4 + 3 with respect to m.\nAnswer: -124*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from {i: 4, m: 1, a: 2, c: 5, b: 3, x: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fif when three letters picked without replacement from {i: 2, f: 16}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132717284, -265434567, -398151850, -530869133, -663586416, -796303699?\nAnswer: -929020982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 10 - 1)*(-10*x + 16*x - 4*x + 21) - x + 0*x + 2*x + (4*x + 0*x - x)*(3 + 0 - 5) + x + 2*x - 4*x to o*x + k and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 9883*b**4\/4 - 858*b**3 + 6143. Find the third derivative of l(c) wrt c.\nAnswer: 59298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51204061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/2, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 - 5*r**4\/3 + 2*r**3 - 27*r**2 + r + 33. What are the prime factors of g(-23)?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 16. Let q = 2132 - 2131.7. What is the biggest value in -5, 0, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 126*q\/5 + 256\/5.\nAnswer: -(q - 2)*(q + 128)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(sqrt(187) + sqrt(187) + sqrt(187)*1 + sqrt(187)) - (sqrt(187) + sqrt(187)*-2)*5))\/((-2*sqrt(66)*1 - sqrt(66))\/(4*sqrt(12)\/sqrt(2))).\nAnswer: 232*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 601*g**5 - 29*g**4 - 602*g**5 + 0*g - 3*g - 12*g**2 + 5*g**2 wrt g.\nAnswer: -60*g**2 - 696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - ((-52 - 2) + -26 + 37 + -19)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsqi when four letters picked without replacement from cffcqiqqifiqsiqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(2\/3)*t)\/t**(-9))\/(t*(t\/(t\/t**0))\/t)**11 assuming t is positive.\nAnswer: t**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3069, 2998, 2969, 2982, 3037, 3134?\n\"Answer: 21*c**2 - 134*c + 3182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37581784 to the power of 1\/2, to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.9 times -0.5?\nAnswer: 94.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 10, c: 1, y: 9}.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17227 less than -17228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1222, 158, -107 in decreasing order.\nAnswer: 1222, 158, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 43. Solve -s*v - 4*w = 12, 2*w = -3*v + 7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-53550)\/(-13195) - 4) - -34?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3596 - 736 + 401)*(-2*s - 5*s**2 + 2*s).\nAnswer: -16305*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 31. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let p = 7 + m. Are p and 3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4120805781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 + 243*t**2 + 142*t - 52. Calculate w(-48).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611 + -611. Solve 3*s + 5*w - 4 = 0, -4*s + 6*s + 2*w = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 301?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcbz when four letters picked without replacement from {c: 5, b: 1, z: 3, q: 3}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8250, 9726, 11178, 12594, 13962, 15270, 16506, 17658?\n\"Answer: -2*r**3 + 1490*r + 6762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 831263154, 1662526307, 2493789460?\n\"Answer: 831263153*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2. Let u(s) = -2*s - 1. Let d(z) = -z - 1. Let g = 4 - 3. Let o(y) = g*u(y) - d(y). Give o(p(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 433250 and 1231000?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2488351 by 23.\nAnswer: 2488351\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 2. What is o(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*a + 66*a + 105*a in the form t*a + x and give t.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1537 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and -59\/1993152?\nAnswer: 5979456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) -2\/1437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19724267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 29 + y + 24. Let f = 261 + -267. Let g(i) = i - 1. What is f*g(p) + k(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 (base 9) in base 8?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(45))\/sqrt(9).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + 3*((sqrt(396) - (0 + sqrt(396)))*-6 + (-4*(sqrt(396)*-1 - sqrt(396)) - sqrt(396))) + -5)*1)**2.\nAnswer: -32256*sqrt(11) + 2795200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 2*f**7\/315 - 7*f**6\/225 + 3*f**5\/50 - f**4\/18 + f**3\/45 + f - 37. Factor y(z).\nAnswer: 2*z*(z - 1)**3*(2*z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11777.0008 - 11782. Let r = 6.1 - 1.1. Let u = r + a. What is u rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -4014?\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/13 - 690*u**4\/13 + 55508*u**3\/13 + 706968*u**2\/13 - 66928*u - 1520832\/13 = 0 for u.\nAnswer: -12, -1, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 = -712*r - 562 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**22\/w)\/w)\/w**(-11) assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 33*s**2 + 33*s + 36. Let w be x(34). Solve -2*m - w = -0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17182 + -12286. What is the greatest common factor of q and 2754?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32534 + 0.18341. Let q = -0.059 - -0.2. Let j = q + r. Round j to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/((g\/g**(-3))\/g))\/g)\/g**(-4))\/(g**1\/g)**(-2\/5)*((g**(-2\/5))**(-12\/17))**(-2\/31) assuming g is positive.\nAnswer: g**(7857\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e3 (base 16) to base 8.\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**5 - 128410*n**4 - 4*n**2 - 912217*n wrt n?\nAnswer: 80*n**3 - 1540920*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*n + 6 = -2, -5*l + 3*n + 3 = 0. Suppose -o = -2*b + 3*b - 145, 0 = l*o - 5*b - 467. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-231)*(-7)\/(-2)*(-2)\/(-276)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p - 24. Let c be (p\/12)\/(-4)*-9. Solve t + 7 = -t + c*z, 2*t + 2*z + 12 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from bcsqzczwwqwqwbbczczb.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 434043?\nAnswer: 434041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385.671 days to minutes.\nAnswer: 555366.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rllr when four letters picked without replacement from rrrlllll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693675 to the power of 1\/2, to the nearest integer?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4208770 and 12.\nAnswer: 25252620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.1 - -20.9. What is the fourth smallest value in l, 2\/3, -2\/5, 0.08?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = -2*l - 2*b, 4*l - 90 = 5*b. Suppose g + l = 3*g. Let c(v) = 3*v - 8. List the prime factors of c(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((2\/4)\/((-4849404)\/8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4 - -19\/44. Let z be 1*-1 + 0 + 5. Let o = 129 - 129.5. What is the closest to -1\/3 in x, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -4) + 6 - (0 - -2). Suppose x*j + 88 = 14*j. Suppose 0 = j*r - 29 - 35. What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*h - 23, 6 = -3*u + 2*h - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 4) to base 8\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/534 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 8}. What is prob of picking 3 e?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/10 + -3)*10. Suppose o*j + k = 9, -2*k - 21 = -0*j - 5*j. Solve 3*d = -j - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - (-4 + -11) - 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/3 - 4*r\/3 - 4\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25600 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -10.9558. Let u = 0.05 - i. What is u rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(105))\/sqrt(5))\/sqrt(3).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 greater than -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-10) + (-22)\/(-11).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -4\/5, -2\/7, 0.5, -4\/7, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28+1035.822574398\nAnswer: 1063.822574398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 2*j + 3. Let u be i(-3). Suppose u = 4*w - 0 + 8. Let a be (4\/w - -2) + 5. Solve -4*x - n - 12 = 0, a*n = x - 3*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35569000 rounded to the nearest one hundred thousand?\nAnswer: 35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05416 + 13.94584. Which is the second smallest value? (a) -26\/3 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + 2\/((-4)\/(-22)). Calculate the greatest common divisor of o and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 1, y: 1, a: 2, z: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611605722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 5104876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 20*m**2\/11 + 2*m.\nAnswer: -2*m*(m - 11)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 5:13 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neeeaaa. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03826783 times -1\nAnswer: 0.03826783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -86948\/21 at most -4139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:19 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 151. Suppose -3*q - p*q = 204000. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4535*s = -4521*s - 42. Let m(g) = 2*g**2 + 4*g. Let k be m(-3). Solve -w - 6 = -0*t - s*t, 3*w - k = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103 - -6?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -497.739 * -0.1\nAnswer: 49.7739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -4*d**3 + 55. Let b(o) = 2*o. What is w(b(n))?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:05 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.2, 4\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84407372.\nAnswer: 2, 7, 3014549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14946165*m**4 - 15776104 wrt m.\nAnswer: 59784660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122\/21 in -0.04, -70, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375801, -751572, -1127303, -1502976, -1878573, -2254076, -2629467?\nAnswer: -3004728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 97 = 2*d - 108, 5*c - 345 = -4*d. Suppose -11 + c = -3*j. Let h = j + 30. What is the highest common divisor of h and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113 + -105 - -31) + -15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -69298\nAnswer: 207894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2936 + 26456\/9. Let r = -242\/63 + x. Let o = 0.5 + -0.9. Which is the nearest to r? (a) o (b) 1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 91 = -5*u, -2*n + 3*n = -3*u + 29. Let j be (6*1)\/(48\/n). What is the units digit of (7 - 4 - j)*-80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1)\/n*n))**(-1\/71)\/(n\/n**(2\/7))**(-2\/25) assuming n is positive.\nAnswer: n**(72\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*i + 4318 + 3247 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + -0.04.\nAnswer: -117.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.577151l in millilitres?\nAnswer: 1577.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187*v**3 + 526*v**3 + 2541*v**3 + 4110*v**3.\nAnswer: 5990*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = j - 2*j, 0 = -2*j + b - 15. Let g = j + 7. Solve g = 4*v + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - j - 5 + (-1 + 4 - 1)*(6*j - 3*j - 4*j) - 2 - j + 2 - 4*j + 2*j + j - 3*j + 2*j - j + 5 - 5 + 2*j - j - 4*j + 6*j)*(1 - 3 + 0)*(2*j - 4*j - 3*j).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12444 (base 6) in base 12?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 b when three letters picked without replacement from kqokwqkqokqkqkqbqqq?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -221 + 197 + (75 - -2)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1385\/831*(-3)\/105\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2367240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -25*q + 91 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/36)\/(196650\/15390).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from {l: 5, n: 3, t: 11, s: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-63)\/(-84))\/((-5)\/20). Let k(a) = 4*a**3 + 7*a**2 + 34*a + 7. Let n(r) = -2*r**3 - 3*r**2 - 17*r - 3. Give g*k(z) - 7*n(z).\nAnswer: 2*z**3 + 17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from cvcvcqcqvcv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 3, g: 5, s: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) - (sqrt(1331) + -1 - sqrt(1331)))) + sqrt(1331))**2 - sqrt(44)\/sqrt(256).\nAnswer: -177*sqrt(11)\/8 + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 51*k. Let f(u) = u**2 + 26*u. Let r = -16341 + 16347. Give r*j(p) - 11*f(p).\nAnswer: p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-1)\/6)\/(12\/(-24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1886, 3930, 5974, 8018, 10062, 12106?\n\"Answer: 2044*n - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1178)\/(-124))\/((-10)\/(-20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 2*s + 1. Suppose -16*y - 36 = -28*y. Calculate n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -6. Let j = -2 - t. Let i be (-4)\/10 - j\/(-20). What is the smallest value in i, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -761, -1137, -1513?\nAnswer: -1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221107 and 5.\nAnswer: 1105535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 33 + 9. Let m be 35\/11 + d\/132. Solve -2*l - 3 = -5*q - 15, 4*l + 2 = -m*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 4 = -81 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 15*f - 11*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1589\/115 + -442\/23. What is the common denominator of s and -32\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/339 in 2, 0, -5, 4, 0.076?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 45 = 4*s - 2, -11*s - 115 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -6)*(-195)\/(-135) + -8. What is the nearest to 2\/7 in k, -3, 184?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 140. Let l be d(-36). Sort 3, 1, l, -4 in descending order.\nAnswer: l, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*f + 6*f - 676, -f + 497 = 3*v. Let o = 208383 + -208349. Calculate the remainder when v is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/113266 + -1787072\/50686535. Find the common denominator of 39\/1253 and n.\nAnswer: 12530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.41 or -1\/16?\nAnswer: 6.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 516720000 rounded to the nearest 1000000?\nAnswer: 517000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1753652 - 1753652 + 20*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-840)\/80)\/((-441)\/(-84)) + 0 + 36\/10?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = -5. Let d = 3.2 + 0.7. Let i = d - -1.1. Put i, v, 4 in increasing order.\nAnswer: v, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14424447 to the power of 1\/2, to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 1190?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 30*h - 232 + 232.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1629, -3226, -4879, -6588, -8353, -10174?\n\"Answer: -28*n**2 - 1513*n - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1692 - 1432.8308. Let o = -1432.8999 - k. What is o rounded to three dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15175 + -23128. Let p be n\/(-165) + 2\/(-10). Calculate the greatest common divisor of 64 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253751?\nAnswer: 253751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38676 rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 - 231000*p**2 + 6467243*p - 6236244 = 0.\nAnswer: 1, 27, 230972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643 + 9*k - 37*k + 643.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11048*a**3 - 33007*a**3 + 11004*a**3 + 11016*a**3 + 19*a + 2.\nAnswer: 61*a**3 + 19*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26*0.3004\nAnswer: -7.8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 62*u - 1043. Determine j(-33).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -348, -499, -650, -801, -952?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000989071 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 952, 2135, 3792?\nAnswer: 5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {a: 2, n: 1, m: 1, y: 1, p: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose -3*m - 2*m = l. Suppose m = -q + 5*q. Solve q*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611626 is divided by 3684.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 755 + 2485. Suppose b = 11*t + 75. Calculate the highest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 28396*t\/13 + 1414800\/13.\nAnswer: 2*(t - 14148)*(t - 50)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*18\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323 or 335?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16653978 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1992157\/10 or 199215?\nAnswer: 199215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-18 - -32 - 13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185 + 23.5. Let b = 161 + m. What is the third biggest value in 2\/9, -9, 8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515011.\nAnswer: 7, 29, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 29. Suppose -t + y + 40 = 0. Suppose -3*m = -12 - t. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 6\/2 - (-11 + -3). Let d be 20\/q*4 - 1. Let f be (-5 + d)*14*1\/(-2). Solve -3*o = 4*m - 2*o + f, -o = -2*m - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 2*s - 26*s**3 + 26*s - 33 - 19*s - 6*s as c*s**2 + z + v*s + r*s**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/3 - 36*i**3 - 304*i**2 - 3136*i\/3 - 1280.\nAnswer: -4*(i + 4)**3*(i + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1920, -3838, -5756, -7674, -9592?\n\"Answer: -1918*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -10.92. Let y = -5.98 - r. Let l = -6.1 + y. What is l rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -8 + -7 - (7 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9934 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3 - 1174030*f**2 - 344587784252*f - 689170872392 = 0.\nAnswer: -587014, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-140)*1 - (-6)\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/88284 and -131\/252.\nAnswer: 264852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91110924?\nAnswer: 2, 3, 29, 197, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -101*q - 761. Determine x(-16).\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10\/11)\/(g*g**(-3\/2)))\/(g**(1\/24)*g**13))**28 assuming g is positive.\nAnswer: g**(-24857\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 258, 515, 772, 1029, 1286, 1543?\n\"Answer: 257*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 10. Let k = -2.5 - j. What is the third smallest value in -2\/7, k, 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4629 and 39?\nAnswer: 60177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742993540?\nAnswer: 2, 5, 239, 364643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:01 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12577951 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnqnnnnnnnnn. What is prob of picking 1 q and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1736)\/155 - 8) + (-8)\/10. Let d(u) = 19*u + 378. Determine d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*h + 5*q, 3*h - 3*q + 1 = -4*q. Let z(j) be the third derivative of 2*j**2 + 1\/240*j**6 + 0 + 0*j + 0*j**3 - 1\/120*j**5 + h*j**4. Factor z(n).\nAnswer: n**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:36 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 8:17 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (17 + -10) - 29 - 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220\/147 - (-16 - 3006\/(-189)) is divided by 3 - 0\/((-3)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-783)\/1305)\/(9*(-2)\/10). Which is the second biggest value? (a) 2\/19 (b) 0 (c) u (d) -5 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 99126*w + 89049 - 17*w**3 - 69128*w + 172*w**3 - 229657 + 7956*w**2 + 102498*w + w**4 = 0. Calculate w.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46646 - 183070 - 140058 - 40879 = -5379*s for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:02 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2122 = 20*q - 4058. Which is the third smallest value? (a) q (b) -1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10*a + 280. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f*v + 60 = 3*v. Suppose -2*a = -2*w + v, 2*w = -w - 3*a + 30. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*l = -45, 3*l = 5*w - l - 80. Find the common denominator of 67\/9 and ((-38)\/w)\/((-4)\/(-4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4293 and 6642.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-3 + -1))\/6. Let z(w) be the first derivative of 1 + w + 1\/2*w**6 - h*w**4 - 2*w**3 + w**5 - 1\/2*w**2. What is f in z(f) = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 3. Determine c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(450) + 0)*3 + -4.\nAnswer: 8 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((-5*sqrt(504)*3 + sqrt(504) - sqrt(504))\/sqrt(12))\/((-4*sqrt(96)*-2 - sqrt(96)) + sqrt(96)) + -3))**2.\nAnswer: 45*sqrt(7)\/16 + 10791\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145270 by 72635.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7240)\/28)\/5 + 40128\/8512?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-1\/10)\/(k\/(k**(-1)\/k))**(3\/11) assuming k is positive.\nAnswer: k**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4360 + 3149. Is r less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1735 - 1726. Let n(h) = -h**2 - 9*h - 2. Let l(k) = -3*k**2 - 18*k - 4. Let f(d) = -2*l(d) + 5*n(d). What is f(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7891\/2 or -3947?\nAnswer: -7891\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74417031 times -0.2?\nAnswer: 14883406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**3 - 2*k**2 - 885*k + 6. Let w(a) = -81*a**3 + 11*a**2 + 4426*a - 33. Determine -11*s(j) - 2*w(j).\nAnswer: -3*j**3 + 883*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11101001100?\nAnswer: -11101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/4 (b) -136 (c) -16\/9 (d) 30 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2110?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 150. Suppose v = -0*y + y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+-3474\nAnswer: -3482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161282.\nAnswer: 2, 3, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/3 - 43184*v\/3 - 4338400\/3 = 0. What is v?\nAnswer: -100, 21692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m - 51*m - 21 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 + 2*f + 5. Let a(p) = -107*p. Let z(v) = 21*v. Let x(k) = -a(k) - 5*z(k). Calculate x(g(r)).\nAnswer: -26*r**2 + 4*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.87 + -1.07. Sort -4, -81\/2, z in ascending order.\nAnswer: -81\/2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -0.1 (c) -14 (d) 5 (e) 2 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, -32, -1139, 14\/31, 5.\nAnswer: -1139, -32, -4, -1\/7, 14\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/49)\/((-60)\/(-2478)). Which is bigger: 25 or m?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7278)\/2426)\/(((-2502)\/(-4))\/(-3))?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044318 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 - 46*d - 20. Determine n(11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26577650 divided by -96646.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - 4. Let g(a) = 91*a - 5630. Calculate the lowest common multiple of g(62) and s(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 938646.8km?\nAnswer: 93864680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4202 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**9\/3024 - g**6\/360 - g**3 - 3. Let h(o) be the third derivative of d(o). Find the third derivative of h(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8730 divide 1506424284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 10:01 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094143 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 34 - 11997*p + 11923*p)*(2*p - 3*p + 2*p).\nAnswer: -74*p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**2 - 290*j**2 - 161*j**2.\nAnswer: -472*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40218 to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -2.12. Let a = 266 - 261.56. Let t = a + 0.56. What is the closest to t in -2, y, 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoq when three letters picked without replacement from oqiqiiqiqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1494798957 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5470, -10947, -16418, -21877, -27318, -32735, -38122?\nAnswer: -43473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.045 - -0.045. Put 7\/5, 0.5, a in increasing order.\nAnswer: a, 0.5, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -1?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 + 188.3. Let j = x - -10. Let b = 0.9 + j. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let q = 180.96 + -181. Is p less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*a - 6*a + 4*a)*(-2*a**2 + 0*a + 0*a + 1) to the form r*a**3 + x*a**2 + s*a + n and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353134*n**4 + 5*n**2 - 107094 wrt n?\nAnswer: 8475216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/72)\/((-5304)\/(-1404))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418694 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/4 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*o + 2095641 = 2103519 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:28 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018337 and 149?\nAnswer: -2.732213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 - 35436651?\nAnswer: -35440122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1698*j*n**3 + j*n + 3*j - 2*n**3 - 123*n**2 wrt n.\nAnswer: -10188*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -2, 6024, -5, -0.3, 0.4 in descending order.\nAnswer: 6024, 0.4, -2\/23, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6149 divided by 43?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42460 and 18260.\nAnswer: 3524180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12058 + 120. Is j a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/21 + 47\/21. Let a = v - 5\/6. What is the second biggest value in 1\/2, -1, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8868 = 4*b, -5*x + 4*x - 5*b + 1791 = 0. Let y be (-3)\/(-27) + x\/54. Suppose s - 3 = 8. Calculate the greatest common factor of y and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 200480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -335 > -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 5*h**4\/6 - h**2 - h - 1. Let u(y) = -3*y. Give u(g(c)).\nAnswer: -30*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -8, -11, -16?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:17 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 8*o + 17. Let m be n(6). Let w be 39*2*(1 - m\/6). Calculate the greatest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 - 3520*w**2 - 58745*w - 240450 = 0.\nAnswer: -687, -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 1267.\nAnswer: 12\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*n - 10 = 0, -4*g - 4*n + 40 = n. Let y(v) = v**3 - 10*v**2 - v + 3. What is y(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**3 + 2*t**3)*(-2*t**2 - t**2 + 4*t**2) + (3*t - 2 + 2)*(-11*t**4 + 7*t**4 - 3*t**4).\nAnswer: -19*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32427 by -1.\nAnswer: -32427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from {f: 2, v: 4, j: 3}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 33874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 30*f - 3 = -16*f - 9*f, 0 = 83*m - 5*f + 981 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d - 3. Let c be o(-2). Let a(p) be the first derivative of -9*p**4\/4 - p**3\/3 + p**2\/2 + p - 1. What is the units digit of a(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -180134*j**3 + 26*j**2 - 21*j - 6. Let m be g(-6). What is m rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 35. List the prime factors of 4\/j*4*-125.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8432 + -8437. Suppose -9 = 5*p + 1, -3*t + 19 = 4*p. Suppose 0 = 2*c - 3*c - t. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 451*s**3 + 436*s**3 - 886*s**3 + 32.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -11036da?\nAnswer: 11036db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1620, -4449, -8504, -13779, -20268, -27965, -36864, -46959?\nAnswer: -58244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14934098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 26\/(-6))\/(2\/12). Let q be (i\/16)\/(-1 + 13\/14). Calculate the highest common factor of 203 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327147131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 796998.1 litres?\nAnswer: 796998100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484870*c**3 - 242417*c**3 - 242444*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q**3 - 233*q**2 - 7*q - 60. Calculate the remainder when 1840\/25 + (-3)\/5 is divided by t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a gram in milligrams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*b + 82 = -116*b. What is the remainder when 554 is divided by b\/(-5) - (-2117)\/145?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -14) + (17 - (-19 + 15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -353481049\/501 + 705551. Let b = 2 - 1. Is b at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.6484 - -2876.\nAnswer: 2934.6484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 7862945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 468184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 2289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {e: 2, h: 4, i: 2, y: 6, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6691582t to kilograms.\nAnswer: 669.1582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -14.7. Let r = 10595 + -10596. What is the nearest to 0 in r, -2, -12, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1471*j - 1439*j = 3360. Calculate the highest common factor of 540 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 83 + -76)*-12?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1375 = 21*b. Calculate the greatest common divisor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 28 + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202153670 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (759\/46)\/((-2)\/4 - -1). Let y be 2\/(-11) + (-4098)\/u*-1. Let c = y + -122. Solve -4*p + 2*p + 2*s = -6, 0 = -p - c*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 150*h**2 - h**3 - 51550*h + 51552*h to the form s*h**3 + m*h + r*h**2 + v and give r.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5773*c = 5783*c - 390. Which is bigger: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + -1 + (-1 - -2). Let h = c - 3. Suppose l + l = h. Solve -4*q = -2*x - 14, 2*x + 15 + l = 5*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(2\/29)\/(s*s*s**5*s**(-5)\/s) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 33 + -9 + 27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28793, 55890, 82987, 110084?\nAnswer: 137181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*u**2 - 218*u**2 - 103*u**2 - 235*u**2.\nAnswer: -858*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -89. Let j = -96.99999844 + h. Round j to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 3*v - 2, 4*f + 5*v = 40. Suppose f*d = 149 + 341. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -54*g**3 + 4*g + 3. What are the prime factors of t(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**7\/420 + g**6\/120 - 2*g**3\/3 - 2. Let i(q) be the third derivative of l(q). What is the third derivative of i(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:18 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 627151.\nAnswer: 627147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2618334 is divided by 290925.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**(10\/13) assuming v is positive.\nAnswer: v**(-20\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Suppose l = -2*l + 2*t + 9, -5*l - 3*t + 15 = 0. Let g(f) be the first derivative of 1427*f**l - 1428*f**3 + 2 - 4. Determine i(g(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.408 - 0.2?\nAnswer: -4.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 + z + 2. Let p(h) = -34*h**3 + 4*h**2 + 3*h + 2. Give 2*f(m) - p(m).\nAnswer: 32*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:34 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb3a (base 14) in base 9?\nAnswer: -48381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 6*u**2 - 36*u - 5. Let s be j(6). List the prime factors of 6 - -485 - (s + -1).\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + n**3 - n**3 + 0 - 11 + n**3 + 2*n**2 + 5*n**2. Determine h(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:58 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, p: 1, u: 2, e: 2}. What is prob of picking 1 p, 1 j, and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8216 or -8294?\nAnswer: -8216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s + 72*s + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664635 and 6195.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-49)*21 + (-3 - 6). Let o(v) = -2*v**3 - 11*v**2 + 6*v - 8. What is o(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q**(-17)*q*q)*q)*q*q)\/q**(-12))\/(q**(-1\/6)*q\/q**(1\/31)) assuming q is positive.\nAnswer: q**(-707\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 20*a**2 + a + 230. What is k(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480884 is divided by 160293.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43250210 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*u + 3*q + 6, -2*q = -5*u - 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -2*m - 4*r, -m = -4*m + 5*r + 568. Let c = 308 - m. Suppose 4*l - c = 49. Calculate the least common multiple of 12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-546)\/70 - -13) + 1\/(-5). Let u(q) = -49*q. Let w be u(-2). Suppose z*r = w + 27. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2662171 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 + 213*x + 787. Let t(j) = -12*j**2 + 419*j + 1573. Let r(d) = 5*n(d) - 3*t(d). Let r(w) = 0. Calculate w.\nAnswer: -4, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(3\/4)))**(-37)\/(c**16\/c)**32 assuming c is positive.\nAnswer: c**(-1809\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 64736?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 5*d - 10. Determine t(10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*7.738.\nAnswer: -0.23214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-167)\/(45591\/(-910)))\/(85\/18).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 18. Suppose -o*s + 49 = -7. Calculate the remainder when 53 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d - 3. Let u be s(5). Let m = 10.1 - 11. Let x = m + 0.6. Which is the nearest to 1? (a) 3 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + 5*d**3\/6 + d**2 - 9*d. What is i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 3 = -4*m - 2*f, -3 = -4*m - 3*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6739?\nAnswer: 4\/6739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 64 = -d. Let i be (d\/(-12))\/(1\/(-3)). Let o(k) = -5*k**3 + 0*k + 2*k + i*k**3 - 5 - 3*k**2 + k. Calculate o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2 + (-6)\/(-3). Suppose -g*h + h = 10. Let k be 9\/6*h\/(-3). Calculate the greatest common divisor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r - 2. Let o be x(3). Suppose -5*u = -4*w + 34, w = -4*u - 3*w - 56. Let z be (-1)\/(1 + u\/8). Solve -2*j = -z*d, 5*j - o = 4*d - 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 6, h: 1}. Give prob of picking 4 p.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 33, 96, 209, 384, 633, 968, 1401?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-12) - -2)\/(4\/(-6)). Let p(z) = 4*z**2 - z. Let w(c) = 3*c**2 - c. Let s(x) = n*w(x) - 5*p(x). Find the second derivative of s(l) wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 4*h)*(-1 + 3 - 3) + (4 - 15 - 2)*(-4*h + 2*h + 4*h) as f*h + w and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g + 2. Let z(x) = 3*x**2 + 5*x - 5. Let q(p) = -10*h(p) - 4*z(p). Let b(f) = -25*f**2. Calculate q(b(r)).\nAnswer: -1250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010601 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6045?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 4212*n**2\/7 - 2217618*n\/7.\nAnswer: -2*n*(n - 1053)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(-15))\/(((-1)\/45)\/1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 304 - 143 - 141 = 0. Solve -2*j + 4*h + 3 = -3*j, 0 = 4*j - d*h - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -388*r + 3. Let h(o) = -345710*o + 2674. Calculate -3*h(w) + 2674*x(w).\nAnswer: -382*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 537*f*n**2 + 45593*f + 2919*n**4 + 29 wrt n.\nAnswer: 1074*f*n + 11676*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 17 - 38 = 0. Solve 7 = -q*h - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 29*i - 32*i. Let l(g) = -1 + i + 11603*g - 11604*g. Let q(o) = -2*o**2 + 7. Determine l(q(j)).\nAnswer: 2*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48677*m + 26907*m - 1 + 0.\nAnswer: 75584*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.0576\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4218170357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1294, 2055, 2826, 3613, 4422, 5259, 6130?\n\"Answer: w**3 - w**2 + 757*w + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 1. Let l be n(2). Let p(f) = -2 - 5*f + 3*f + l*f. Suppose -4*z = -4*u, -u + z = 5*z - 15. Determine p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4397*x + 714*x**2 - 1429*x**2 + 1447*x**4 + 937*x**4 + 715*x**2 wrt x?\nAnswer: 28608*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19207109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p**2 + 170*p**3 - 4*p**4 - 96*p - 130*p**3 - 76*p**2 = 0. Calculate p.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 20834632*b - 62503860.\nAnswer: -4*(b + 3)*(b + 5208655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -40\nAnswer: -7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 65051861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-699)\/(-2))\/(3\/16) - -2. Let n = 3829 - l. Suppose -3*c + 1276 = -v - n, -2182 = -2*c - 5*v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y - 58. Determine w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -623? (a) -3\/5 (b) 0.3 (c) 14.54 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5338*k**2 + 3948*k + 13. Let h(u) = 2670*u**2 - 1963*u - 6. Let g(b) = -6*d(b) - 13*h(b). What is the second derivative of g(c) wrt c?\nAnswer: -5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180267116 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266854907?\nAnswer: 11, 1373, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4376938 to the nearest integer?\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/33755 or 1?\nAnswer: -2\/33755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118887018 rounded to seven decimal places?\nAnswer: 0.0001189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692636938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7231\/36 - -1714\/9. What is the common denominator of o and 23\/334?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:17 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/m**(-13) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 127.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 806931 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 18*n + 38. Let w be v(20). Let y = 0.8 + 0.2. Let o = y - 0.8. Sort -4, w, o in increasing order.\nAnswer: -4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 32*y - 58. Let x be i(-2). Factor -2*u + 2\/17*u**3 - 14\/17*u**x - 18\/17.\nAnswer: 2*(u - 9)*(u + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 37*f**3.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 281086514 to the power of 1\/2, to the nearest integer?\nAnswer: 16766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.063913 and -341.\nAnswer: 362.794333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4180 and 18.\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7801.574kg in grams?\nAnswer: 7801574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14700088 divided by -1.\nAnswer: 14700088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*u**3 - 3*h**3 + h*u**3 - 3*u**3 - 20*u wrt h.\nAnswer: 3*h**2*u**3 - 9*h**2 + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/103)\/((-6)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79152 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3112 is divided by 637.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -186 in 0.032, 0.4, 1\/12, 1\/2, 5?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -755 + 848. What is the greatest common factor of n and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-368)\/46 + 1 + 3 - -16. Let q be (7\/1)\/(1 - 0). Suppose -q*p - 60 = -g*p. Calculate the remainder when p is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*f - 0. Let s be (-3)\/f*0 - -1. Let v be s\/((-6)\/4) - -2. Is v at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -80 - 9*x**2 + 19*x**2 - 5*x**2 + 75*x = 0. Calculate x.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*x**3 + 52*g*x + 4*g + x**2 wrt x.\nAnswer: -12*g*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 43 = -3*u - 31*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 4 - 2*v**3 + 5 + 25*v - 14*v - 2*v**2 + 0*v**3 to the form o*v**2 + b + y*v**3 + n*v and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4065407994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1507*k - 7 + 1570*k + 4628*k)*(-3*k + 5*k + 0*k).\nAnswer: 9382*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 11*b - 6*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*c + 303*c = -9464. Solve 688 = 138*j - c*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002196353 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*i**2*q**3*v**2*x**3 - 13*i**2*q**2 - i*q**2*v**2 + 5*i*q*v**2 + 2*i*q*x**3 + 3*q**3*x**3 wrt q?\nAnswer: 486*i**2*v**2*x**3 + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-3)\/(-6))\/2*14404. Let a = 151120\/21 - j. Is -6 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/17*(-4)\/((-33)\/(1584\/320))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 159*o - 634. Let y be p(4). What is the closest to -1 in 9, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131945 + 131969.31208. Let r = s - 24.3. What is r rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*(816\/(-56) + 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let g = -111 + 334\/3. Let w(t) be the first derivative of -4 + 0*t**2 + 0*t - g*t**3. What is w(k(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4304*p - 4300*p + 4 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/224 and -45\/322?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r - 283 - 93 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/6 - i**3\/2 - 3*i**2. Let h(a) = 2*a**2 + 44*a + 3. Let t be h(-22). Let c be b(t). Solve -c + 1 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -1. Suppose -4*k = c - 23. Let r be -56 + 52 - (-1 + 2 - 9). Solve r*l - k = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*d + 18 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -7f?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -253 (c) -1 (d) 1\/4 (e) 1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 45*v**2 + 4*v + 4. Let h(w) = -2296*w**2 - 205*w - 205. Calculate 205*g(z) + 4*h(z).\nAnswer: 41*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 22. Let v be h(-12). Let z(r) = 2*r**v + 0*r**2 + 0*r**2 + 0*r**2. Let b(s) be the second derivative of -11*s**4\/12 + 217*s. Give z(b(x)).\nAnswer: 242*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -42*w - 1. Let v(c) be the second derivative of -83*c**3\/6 - c**2 - 6*c - 166. Give 5*h(n) - 3*v(n).\nAnswer: 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:24 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 60845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 2*l**2 + 2*l**2 - 90.\nAnswer: 4*l**2 - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6714770 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 14 + (-24 + 24 - (-89 + -1 - -1))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.81 plus -2.7?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120\/57 - 14\/133. Solve -b - o - 10 = -l*o, -2*o - 15 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1026298 and 88\/7697235?\nAnswer: 15394470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -2 (c) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/19 and -9\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 15*d**2 + 23*d - 20. Let h be p(-12). Let a = h - -198. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 11:54 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m + 11 + 3\/2*m**2 - 1\/3*m**3. Let b be f(2). Sort 0, b, -1 in ascending order.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 2*k - 2*k)*(-2 + 2*k + 2) + 0*k**4 + 2*k**4 + k**4 - 2.\nAnswer: -k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -731*o**2 - 4344*o - 27. Calculate s(-6).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 2622*l + 1288034. Calculate o(-423).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 19*d - 2. Let n(k) = 0 - 29*k + 2 + 3 - 2. Let f(a) = 5*n(a) + 8*w(a). Differentiate f(y) with respect to y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.7 + 37.7. Let n = v + -4.6. What is the nearest to -2\/15 in 5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1026113194 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35864*-3.\nAnswer: 1.07592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -344965 * 3\nAnswer: -1034895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 545879021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s**6 - 9*s**5 - 2*s**2 + 9*s + 9. Let t(k) = -k**6 + k**5 + k**2 - k - 1. Let m(x) = 18*t(x) + 2*z(x). Find the third derivative of m(p) wrt p.\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 5*u - 701. Let b = 3 + -3. Suppose -3*z + 5 = -2*d - 32, b = -5*z + 4*d + 63. Calculate the highest common factor of z and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -1054?\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-21)\/42*4\/26). Suppose -7*x = -3*x - 4*p - 8, 2*x + p = u. Solve 0 = -2*y + x*h + 14, 2*h + 2 + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37062082 to the power of 1\/2, to the nearest integer?\nAnswer: 6088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/6 - 5*f**3\/3 + 3*f**2 - f. Let c be n(6). Suppose 2*a = 5*t - 23, -4*t = -3*a + a - c. Solve 6 = s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 + -1 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**2 - 1)*(5 - r - 5) + (-r**2 + 11*r**2 - 4*r**2)*(-479 + 479 + r) + 0*r**3 - r**3 + 0*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -114*s - 25. Let n(z) = 3*z + 41. Let m be n(-15). What are the prime factors of k(m)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -0.1, 1\/4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + g**2 + (4*g**2 - 3*g**2 - 2*g**2)*(2 - 2 - 2) + 4*g + g**2 - 4*g - 4*g**2 + 3*g**2 + 0*g**2 + (-8*g + g - 13*g)*(2 + 2*g - 2).\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (3 - -9) - 720\/66?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m - 27398 + 27398 - 4*m**2 - 30*m**2 in the form z + g*m + r*m**2 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-7) - (0 + 1). Let u = z - -1. Which is the closest to 1\/3? (a) u (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*a**3 - 460*a**3 + 1318*a**3 - 425*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*n - 96. Suppose n*i = 16 + 168. Calculate the greatest common divisor of i and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 20 = 4*z, -4*z + 6*z - 4*s + 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276 + 306. Let c(h) = h - 36. Let d be c(i). Let z(u) = -u**2 - 4*u + 11. Determine z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:49 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1488\/(-44) + (534\/(-33) - (-35 + 803)\/(-48))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*j = -6, 0 = j + 4*j + 15. Suppose 2*n - 15 = b. Calculate the lowest common multiple of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438498832 a multiple of 10051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 2*u + 3*u + 0*u + 10*u + (5*u - 2*u + 0*u)*(-1 + 5 - 5))*(-1 + 1 - 1).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16304 and 6856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71110.\nAnswer: 2, 5, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/330 - 5*j**4\/132 - 2*j**3\/11 + 3*j**2\/2 + 32*j + 4. Let m(d) be the second derivative of i(d). Factor m(p).\nAnswer: 2*(p - 6)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 39*z**2 - 100*z - 6. Give r(5).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.1, 3, -1\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0\/6)\/(-11))\/(-1). Solve -4\/13*b - 6\/13*b**2 + z - 2\/13*b**3 = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 24)*(-12 + 37 - 16)*(3 - 3 + 1)*(-3*n + 0*n + 2*n).\nAnswer: -171*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 - -0.74. Let n be (269\/(-90) - -3) + 0. Let o = n + 59\/90. Which is the closest to 1? (a) o (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587198539*b**2 - 734831651*b wrt b.\nAnswer: -1174397078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 26*t - 672. Let r be w(26). What is the closest to -42 in -4, r, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/1)\/(0 + 2). Let m(u) be the second derivative of -u**4\/12 - u**3\/6 + 4*u**2 - 3*u. What are the prime factors of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-10)\/20)\/((-2)\/12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 59*w**7\/14 - 163*w**4\/2 + 551*w + 2. Find the third derivative of r(q) wrt q.\nAnswer: 10620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = u - 5. Let b = 11 + u. Sort 3, -1, b in descending order.\nAnswer: 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let w be (-3)\/((-1)\/u - 0). Let m(z) be the second derivative of z**4\/12 - z**2 + 32*z. What is m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487343 is divided by 32489.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 68*x - 8897. What is f(131)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 28, 49, 74?\n\"Answer: 2*f**2 + 11*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(2*sqrt(90)))**2 + 0 + sqrt(76) + -2 + -1.\nAnswer: -89\/36 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -102, -84, -40, 42, 174, 368?\n\"Answer: 2*b**3 + b**2 + b - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**3 + 8*o**2 - 16*o - 5. Let s(q) = 7*q**3 + 4*q**2 - 8*q - 3. Let g(t) = 3*r(t) - 5*s(t). Factor g(f).\nAnswer: 4*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1716 - -1427. Calculate the remainder when u is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/5 - 68*v**3\/5 + 64*v**2\/5.\nAnswer: 4*v**2*(v - 16)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 - 6*o**4 + 2*o**4 + (-11196 - 364*o**2 + 11196)*(-2 - 3 + 2)*(o**2 - 3*o**2 + o**2) to the form n + v*o**4 + g*o**2 + d*o**3 + j*o and give v.\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1340 and -37\/8.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let b(v) be the third derivative of 133*v**5\/60 - 125*v**2. What is n(b(x))?\nAnswer: -266*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let r(a) = -25*a**3 - 4*a**2 - 23*a - 20. Let d(i) = -9*i**3 - 2*i**2 - 8*i - 7. Let u(v) = 11*d(v) - 4*r(v). Give u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7*m + 10 = 3*m, -12 = 4*m. Let c(j) = -12*j**2 - 3*j + 1. Let f(k) = -k. Let h(y) = -3*c(y) + 12*f(y). Is h(u) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5116, 5115, 5114, 5113, 5112?\nAnswer: 5111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8089, -16114, -24139?\n\"Answer: -8025*h - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/17, -1, -1\/4, 0.16.\nAnswer: -1, -1\/4, 2\/17, 0.16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-48))\/((-1)\/3))\/(-1).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + -2 + sqrt(1300) - (sqrt(1300) + -2*(-2*sqrt(1300) - sqrt(1300)))))**2 + -2.\nAnswer: 120*sqrt(13) + 46799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9243*g + 9240*g + m + 9 = 0, -12 = -4*g - 2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 0 + -4 + 17 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.64 + -10.64. Which is the closest to -2\/3? (a) 4 (b) 2 (c) 96 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 5*d. Let m(h) be the first derivative of d*h**2 - 1 + h + 2\/3*h**3. What is the derivative of m(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 7 + 6*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from hybhkdbysdskbkkhdd?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from aafff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/7100475 and 12\/2125.\nAnswer: 35502375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 48*v**2. Let h(b) = -6*b. What is r(h(z))?\nAnswer: 1728*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70832.1 - 70832. Let l = 152 - 757\/5. Sort 0.006, l, i in decreasing order.\nAnswer: l, i, 0.006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most -33\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (814\/185)\/((-4)\/10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 102180*k - 1532925.\nAnswer: (k - 102195)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -753 (base 9) to base 11\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*n**3 + 2\/3*n**5 + 0 + 388\/3*n**2 + 32\/3*n**4 - 176\/3*n = 0. What is n?\nAnswer: -22, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**7\/14 - h**6\/10 + 3*h**5\/20 + h**4\/4 + 9*h. What is t in l(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6 = 3*p, 5*h - 592 = p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3979 + -2.6979. What is the closest to 11 in -2.9, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 3*r - 2*u - 369, 1048 = 5*r - 4*u. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -83*s**4\/4 - 80*s**3\/3 - 4*s - 833. Find the third derivative of z(p) wrt p.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4099*j - 673*j + 174220 = 40606 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27609700 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18173 = 132*z - 40306 - 54559. What is the remainder when z is divided by 148?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57758978.217 and 374?\nAnswer: 57758604.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 165, 158, 151, 144?\n\"Answer: -7*a + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**3\/2 + 15*p**2 + 25*p\/2 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/29)*h**(-1\/20))**(-37) assuming h is positive.\nAnswer: h**(1813\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + -2*sqrt(1458) + sqrt(18))\/(-1*sqrt(6)*-2) + sqrt(432) + sqrt(15)\/(-1*sqrt(5)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -56595*r. Let f(u) = 216*u. What is 525*f(v) + 2*g(v)?\nAnswer: 210*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-437*b - 6 + 18 + 421*b)*(0*b**2 + 0*b**2 + b**2).\nAnswer: -16*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 10*v**2 - v + 9. What is g(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/5 + 2\/(-5). Let b be h\/4 - 221\/(-2). Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**0\/u*u)\/u)**(-3)\/(u**(2\/5))**(-1) assuming u is positive.\nAnswer: u**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225312972 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) - (sqrt(153) + 3)).\nAnswer: 6 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 200. Suppose 3*y - 5*y = -c. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15510, 15441, 15370, 15297?\nAnswer: 15222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -1\/8 (c) -18\/53 (d) 60 (e) -11.4 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1302 + -14?\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/17, -1\/2, 91\/2, 11\/141?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36275\/24 - -1512. Calculate the common denominator of -67\/36 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + (-3 - (-3 - -2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142624441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/50 - 2331\/4850. Let o = 10137237 + -12783056659\/1261. Let k = o - c. What is the biggest value in k, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:21 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*(r*r**44)\/r*r)\/r*r))\/(r\/(r*r*(r*r**(2\/7)*r)\/r*r)) assuming r is positive.\nAnswer: r**(-292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*b**2 - 69 - 29*b**2 - 53 + 86 with respect to b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -868.4 + 799. What is w rounded to 0 decimal places?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1135*k**4 - 6*k**2 + 0*k**2 + 688*k + 5*k**2 + k**2 wrt k.\nAnswer: 13620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 798 + -574. What is the greatest common factor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -1\/4 (b) 0.1 (c) -3 (d) 1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 2. Let t be c(3). Suppose 0 = 3*r - 53 - t. Let z be (-1)\/((-3)\/r) - 2. Solve z*g - 20 = 2*s, -3*g + 8 = -2*s - g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 - 100. Let w = 88 + -87. Let g = 3.3 - 3. Which is the fourth smallest value? (a) -2\/17 (b) w (c) v (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - 22 + 3766*g**2 - 3768*g**2 + 80 to c*g**4 + p*g**2 + l + x*g**3 + d*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r + 27 = q, 0 = -3*q + 2*r + 31. Suppose -4620000 = -q*x + x. What is x rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24147908*z**4 + 6*z**2 - 2450755 wrt z.\nAnswer: -579549792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k - 12. Let x be 4\/(-6) + 20\/3. Let n = -4 + x. Calculate the highest common factor of n and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3690)\/(-552) - 6 - (-456)\/(-1824).\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**6 - 2728*r**5 - 417*r**3 - r**2 - 476*r - 26271 wrt r?\nAnswer: 360*r**3 - 163680*r**2 - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -752 - -558. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 458, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-27)\/36 - 2\/8). Let t be (-10 - -14)*(a + 18\/8). Solve -2*h = -h + t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -49*o**2 - 1283*o + 5915. What is d(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 4. Suppose 7 = -4*g + o. Suppose 0 = -5*a + g - 1. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24282\/13 - 1868. Sort -0.4, -1\/2, -58, y in increasing order.\nAnswer: -58, -1\/2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let m be (1\/3)\/(1\/6). Let b be m - ((-1)\/(-2) - -1). Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 3*q**4 + 3*q**4 + (-13*q - 4*q + 4*q)*(q**3 + 3*q**3 - 3*q**3) + (1 - 1 + q)*(q**3 + 4 - 4) + 9*q + 9*q**4 - 9*q.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 + d**2 + 3 - 2*d**2 + 5*d. Let h = 74 - 69. Calculate i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o + 32 = -194 + 1606 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-15) + 20\/25 + -3. Let b(u) = u**2 - u. Let k(y) = -y. Let n be k(1). Let v(q) = q - 1. Let c(l) = h*b(l) + n*v(l). Factor c(a).\nAnswer: (a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + (-5 - -14))\/(1\/(-5)). Suppose 4*c = 2*k + 2*k + 1788, c - 477 = -v*k. What is the remainder when c is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9719, 10.3, 12 in decreasing order.\nAnswer: 9719, 12, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.218538 to 0 dps.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13031*-4.\nAnswer: -52124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-29120)\/(-1521))\/(-28) + (-6)\/(-13). Which is the biggest value? (a) n (b) -2 (c) -0.11 (d) -1\/10 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:15 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + 152*s + 146. Determine a(39).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) -2 (c) -0.76 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 155\/20)*4. Solve -7 = -4*n + v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 8*h - 43, 0*h + 3*h - 19348 = -2*o - 19338 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22*k + 76. Let p be q(-27). Let s = p - -225. What are the prime factors of s?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 3)*-1 - -155. Let u = n - 104. Suppose 2*x + 4*i - u = 0, -8 = -i - i. Calculate the smallest common multiple of 20 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6035 and 1\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301656?\nAnswer: 2, 3, 47, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34488913 is divided by 118.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 350*r**3 + 6445*r**2 - 10540*r - 17340.\nAnswer: 5*(r - 34)**2*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079987 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*r - 9*r + 10*r + (-4 + 0 + 1)*(0*r + 0*r - r).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3154\/30 + ((-56)\/(-30) - 2). What is the highest common factor of a and 11235?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/7, 0.5, -47, -15\/4 in ascending order.\nAnswer: -47, -15\/4, 2\/7, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5 = -2*z + 1, -5*z = -4*n + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.811127 nanograms to micrograms.\nAnswer: 0.007811127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 498. Let l be k(0). Let a = l + 508. Let v(n) = n - 6. Calculate v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10282, 21016, 31750, 42484?\nAnswer: 53218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 50*r + 69. Let c(l) = 25*l + 159. Let s be c(-5). What is the hundreds digit of m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263868*w**4 + 4 - 263864*w**4 + 32*w - w**3 - 30*w + 5*w**2 to the form m*w**3 + r*w**2 + a + l*w + j*w**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42316*o - 9148 + 9148.\nAnswer: -42316*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, c: 1, i: 1}. What is prob of picking 1 m, 1 n, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -18. Suppose -5*j - 30 = -5*s, -2*s - 3*s = -3*j - n. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -689 less than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 2. Let y(t) = -7*t + 9. Let j(u) = 9 + 5 - 9*u - 2*u. Let i(g) = n*j(g) + 8*y(g). Give i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84dd2 (base 15) to base 14.\nAnswer: -ad91c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577249 is divided by 214769?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + w)*(-3 + 208 + 11) to the form y*w + h and give y.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 21*b**2 + 168*b + 16. What is the smallest common multiple of 24 and q(9)?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119698 (base 10) to base 13.\nAnswer: 42637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953.98 plus -0.2?\nAnswer: 2953.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + u = -4, -5*u - 5 = 0. Let j be 72\/2 - (-5 - (-12 - -4)). Let f be v\/(-18) + j\/270. Is f >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -52456 greater than or equal to -52457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*v = 45, 4*k = 3*v - 5 + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 22*t**2 - 187*t + 7. Does 6 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d - 5. Let h be u(-1). Let y(o) = -35*o + 39*o + 4 - h. Let k(q) = -3*q + 3*q + 4*q**2. Determine y(k(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 1, -390, -1, -1\/12, -3?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h**(1\/21)*h)\/h)\/h*h)*h**(-25)*h)**(-32\/3) assuming h is positive.\nAnswer: h**(15488\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(10*25\/(-3250))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let o be 3*-4 - 442\/(-34). Let p(b) = 4*b. Determine o*p(a) - 4*u(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.8 - 19. Let o = 3.11 + z. Which is the closest to 0? (a) 2\/7 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(320) + 1)*6)**2 - (1 + sqrt(320) + 2)**2)*4*5.\nAnswer: -449080 - 21120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385371, 385372, 385379, 385392?\nAnswer: 385411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-25)\/7 - 3161\/203. Put o, 0.5, -3, -12 in descending order.\nAnswer: 0.5, -3, -12, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhkhhuhn. Give prob of sequence kkhk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23 = 142. Let f(y) = 8*y**2 - 787*y - 10043. Let l be f(-13). Calculate the highest common factor of c and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbnbnnbbbbnbbbnbbb. Give prob of picking 1 n and 1 b.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.70515 take away 5225.649?\nAnswer: -5223.94385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 9\/2*h + 9\/2*h**3 - 12*h**2.\nAnswer: 3*(h - 2)*(h - 1)*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205700, -411401, -617102, -822803?\nAnswer: -1028504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60861, 60734, 60607, 60480, 60353?\nAnswer: 60226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50884889.\nAnswer: 11, 701, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/50 and 59\/55?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-2))\/3*2. Let f(b) be the second derivative of -b**5\/20 - b**4\/4 + b**2 + 80*b. What is f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/26841 and 38\/3.\nAnswer: 26841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by -118?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**6 + 6079*a**4*k + 3*a**2*k - 2*a*k + 7647*k + 1 wrt a.\nAnswer: 1920*a**3 + 145896*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Let w(a) = a**3 - 4*a**2 - 2*a - 7. Let d be w(s). What is the units digit of 5\/4*d\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 331, -1\/3, 0.1 in descending order.\nAnswer: 331, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.103 + 0.113. Which is the second biggest value? (a) r (b) -1\/6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1309*o**3 + o**2 - 1429?\nAnswer: -3927*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -1.148. Let i = -0.051967 + l. Round i to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17532 divided by 17532?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 11155*y**2 - 2*y + 42 + 11169*y**2 to the form u + c*y + m*y**2 and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 - 12 + 47)*(4*c**2 - c**2 - 5*c**2 + (-c + 4 - 4)*(-4*c + 3*c + 0*c) + 3*c**2 - 4*c**2 - c**2 + 1 - c**2 - 1)*(3*c**2 - 4*c**2 - c**2).\nAnswer: -480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 34. Which is the second smallest value? (a) -3 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 + (-34 - -58) - (38 - 48)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + (3*(sqrt(75) + 0) - sqrt(75)) - (-4 + sqrt(75)*1))**2 - (1*sqrt(75)*-3 + -4).\nAnswer: 135*sqrt(3) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 1. Let g be d(1). Suppose 275*v - 117 = 284*v. Are v and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -i - 3, 3*r - 2*i - 9 = 0. Let j(n) = -10*n**2 + 45*n**2 - n + 25*n**2. What are the prime factors of j(r)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126865715 to the power of 1\/2, to the nearest integer?\nAnswer: 11263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7836 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 24452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -190*c + 4213. Let b be f(22). Solve -26*o + 123 = -b for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6)*(-15 + -27702) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Suppose 79 = 3*w + v. Let f = w - 23. Which is smaller: f or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let b be (-37)\/(-2) + (-2)\/(-4). Let v(n) = b - 8*n - 19 + n. Calculate r(v(p)).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/20)\/((-6)\/(12*-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m**3 - 4*m**3 + 2 - m**3. Suppose -78 = -2*v - 0*v. Let b = v - 39. What is t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 - r - 1. Let l(k) = 286*k**2 + 8*k + 7. Give -l(t) - 5*n(t).\nAnswer: -241*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5713 divided by -5\nAnswer: -5713\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14538*r**2 + 43615*r - 2. What is h(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 436368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let g(p) = -6732*p + 27*p**2 + 6732*p. Give g(n(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let b(v) = v**2 - 4*v + 5. Let c be b(6). Let s = -15 + c. Let d(a) = 1 + 16*a**2 - 1 - 25*a**s. Determine d(w(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1580\/6 + -12 + 76\/6. Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p + 3. Let m be h(-3). Suppose 6*b - 38 - 172 = 0. Let j = 30 - b. Put j, m, -4 in decreasing order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.553 + 19.017. Let c = 4.27 - m. Round c to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46630 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.12 (b) 0.29 (c) -2\/7 (d) -2\/15 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 187596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 7, m: 5, g: 6}. What is prob of sequence gi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 66 = 8*y. What are the prime factors of (-449)\/y + 48\/56?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.77 + 16.7699118. What is m rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7768 - -7855. Which is the closest to w? (a) 0.02 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 5*g**2 + 9*g**3 + 3*g**3 - g**2 in the form b*g**3 + v*g + i*g**2 + x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29205 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8370\/(-66) - 3) + (-2)\/11. Let w = 232 + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 + 1 + 3 - 15 - 7*p - 5*p**2. Let v(h) = 2*h - 6. Let y be v(7). Calculate s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 5. Let u be l(0). Let p(b) = u + 1 - 2 - b. Let d be 2\/(-6) - (-10)\/3. Determine p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24525804*k**4 - 10*k + 222548?\nAnswer: -294309648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1*1*-2. Let t be (5\/2 + -3)*-6. Suppose -5*p = 3*l + 15, -3*p - 4*l - 5 = -t*l. Sort m, p, -2 in ascending order.\nAnswer: m, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = 2*x, 4*q + 0 = -5*x + 6. Let w(o) = -4*o - 2*o**2 - o**3 + 0*o**3 - 3 - o**2. Let s be w(x). Are s and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 4. Suppose -3 = -y - 5*a, -5 - 2 = 4*y + a. Let k(g) = g + 1. What is y*k(q) + d(q)?\nAnswer: 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133954.\nAnswer: 2, 3, 103, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 13. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4\/(-3))\/(-28 + (-966)\/(-36)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33252 - 7604. List the prime factors of t.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26484 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 715494\/624 + (-12)\/(-32) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/18)\/11*(-6)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2765?\nAnswer: 2\/2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7495 + 68392\/9. Let p = s - 104. Let i be (-2)\/(-6)*(-4 - -8). Which is the second biggest value? (a) -0.2 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/27 - -31\/108. Let r = 0.7 - 4.7. What is the nearest to -1 in 4, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 divided by 88?\nAnswer: -2461\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bberbbebbbeeebberbbe. What is prob of picking 2 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkhk. Give prob of picking 2 k and 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 34*k - 10. Let q(c) be the first derivative of -2\/3*c + 2\/15*c**5 + 2\/3*c**2 - 1\/3*c**k + 5 + 0*c**3. Let q(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*x - 3191 = 0, -5*x - 108 = -123. Suppose -5*k = n - 6933. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13871 - 21642 = -4*x, -i = -3. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-1 + 11 - (4 - -10 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - 7) + 0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 + 4*m + 7. Let y be v(6). Let r(l) = -l + 2. Let g be r(6). Sort g, -1, y in increasing order.\nAnswer: y, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from ykegkkeukgukykkuu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 7, x: 3}. What is prob of sequence xxdz?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -2.780817\nAnswer: -1.1123268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 310 = -14. Suppose 152 = 2*b - 5*q, 0*b - 3*b = 4*q - 228. What is the least common multiple of 2\/(-9) - 228\/j and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*2*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -832, -831, -830, -829?\n\"Answer: o - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*f - 3*x, -14*f + 11*f - 6*x + 5*x = -49*f + 271 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 2*s**4 + 3*s**3 - 4*s**2 - 4*s = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*x - 4*n + 6, 8 = 2*n. What is the second derivative of 0*c**2 + 0*c**3 + 0*c**x + c**3 - 2*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 3663, 3, 4, 5.\nAnswer: -96, 3, 4, 5, 3663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18305b (base 12) to base 7.\nAnswer: -3366263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*f - 92. Suppose 7 = 3*j - f. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-24)*18 - (-80)\/(-64).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 3620*m**2\/3 + 43116*m - 387072.\nAnswer: (m - 3584)*(m - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407663 divided by 294?\nAnswer: 2407663\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725\/1276 - (-3)\/(33\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(1 - 1 - 2*r**2)*(-78 - 75 + 25)*(-3 + 0 + 1).\nAnswer: -1024*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367.4 - 302. Let c = 65 - l. Sort c, -5, -18\/13 in increasing order.\nAnswer: -5, -18\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 + 3\/(-1). Let v(b) = b**2 + 6*b - 3. Let i be v(z). What is the closest to 2 in i, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 30*w. Let b(s) be the third derivative of -5*s**4\/24 - 9*s**2. Give 30*b(x) + 5*j(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k + 4. Let n be f(2). Solve 3*d - 29 = -4*o, 3*d + 0*d = o + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, -2, -15 in increasing order.\nAnswer: -15, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126277.\nAnswer: 197, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Suppose -x*o - 115 = -0*o. Let t = 32 + o. Calculate the greatest common factor of t and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - y - 68 = 3*g, 3*y = 13*g - 12 + 318 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -884115 divided by 27\nAnswer: -32745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n\/n**(-5)))\/(n**17*n*n*n\/n**(-24)*n*n) assuming n is positive.\nAnswer: n**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -22, 18, -33369?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - 0) - (165\/(-18) - -5).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Suppose -7*s + 4*s - 3*l + 30 = 0, 3*s = 3*l. Solve 0 = -g*u + 3*y + 19 - 5, -s*y - 10 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2. Let y(m) = -2*m. Suppose 0 = -4*w + w - 12, 5*c - 5 = 5*w. Let z(t) = 6*t. Let i(p) = c*z(p) - 8*y(p). Calculate i(s(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 190 = -33*y - 26*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 202, 211, 224, 241, 262?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*w**2 - 2*w + 1?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 98 = -4*i, 172 - 57 = 5*i - c. Is i greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 412053543?\nAnswer: 412053542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 21. What is the derivative of -86*u + 86*u - w*u**3 + 7 wrt u?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 - 27*q**2 - 29*q - 10. Let i be (-2)\/7 - 38\/14. Let b(f) = -4*f**3 - 9*f**2 - 10*f - 3. Let z(k) = i*d(k) + 8*b(k). Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*14\/28)\/((-4)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 3*b**2 + 5*b**2 + (5*b - 2*b - 2*b)*(-4 + 4 + 10*b) + 13*b**2 - 11*b**2 + 25*b**2 in the form n + j*b**2 + i*b and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g*g**(-3)*g))**42)**37\/(((g*g**(-2)*g)\/g)\/g**(-3)*((g*g*g**(4\/3))\/g)\/g**(2\/21)) assuming g is positive.\nAnswer: g**(65179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 12*f**2 + 10*f + 11. Let l = 93 - 53. Suppose -4*h + q + l = 0, -h + 31 = 4*q + q. Let m be w(h). Solve -5*z + 5 - 25 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 2. Suppose 5*p = -2 - 18. Let j be v(p). Let f(a) = a**2 - 7*a + 9. What is the units digit of f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 2*h = 19, -b + 9 = -3*h. Suppose 0 = f + b - 21. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 15. Let p(z) = -2*z**3 - 12*z**2 - 2*z - 9. Let g be p(-6). Solve b = -g*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**4 - 9*g**3 + 94*g - 5. Let p(t) = -3*t**4 + 8*t**3 - 93*t + 4. Let y(z) = -4*o(z) - 5*p(z). Find the second derivative of y(q) wrt q.\nAnswer: -12*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(-1\/6)*z**(-4)\/(z\/(z*z\/(z*((z*z**(2\/23))\/z)\/z)*z*z)) assuming z is positive.\nAnswer: z**(-73\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 113 = -239. Solve 0 = z - 5*z + k - l, 16 = -3*z + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3557 - -3559. Suppose -4*d + 145 = d. Suppose j - d = -7. Solve 0 = r - a*r + m + 9, 2*m = 3*r - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + a**2 - 12 - 6*a - 3*a**2. Let q(i) = 7*i**2 - 13*i - 25. Let s(j) = -13*m(j) + 6*q(j). Find the first derivative of s(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411048 is divided by 757.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1568?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:57 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2. Let p(j) = 8*j**2 - 23*j - 4. Let g be p(3). Let x(h) = -h**2. Give g*q(f) - 4*x(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j = -47*j. Solve -11*g + 0 + 22 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94747147?\nAnswer: 11, 29, 229, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3255479, -3255447, -3255413, -3255377, -3255339, -3255299, -3255257?\n\"Answer: g**2 + 29*g - 3255509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8729\/3 + 2875. Let y = -34 - b. What is the second smallest value in 5\/2, -2\/5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 12, -8*u + 6*u = 2*t + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 - y - 7. Let f be g(4). Suppose m = v + v + 555, 0 = -2*m + f*v + 1105. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2705 + -408450\/151. Is i at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4600 and -91\/48.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwyddwfdddyy. Give prob of sequence wwfd.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -189*w**3 - 195*w**2 + 251742*w + 7992 = 0?\nAnswer: -37, -2\/63, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8382, -63364, -212584, -503160, -982210?\nAnswer: -1696852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p. What is the first derivative of -1 - 2*l**2 + p*l**2 + 3*l**2 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28514193 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*d + 108, -4*o - 5*d + 349 = 76 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v - 1. Suppose 3*r + 0*t = 2*t + 5, -4*r + 2*t + 4 = 0. Let k be o(r). Let a(w) = 2*w**2 + 9*w - 15. Is 12 a factor of a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(0 + sqrt(242)) - (sqrt(242) + sqrt(242) + 1 + sqrt(242) + -4 + sqrt(242)) - (sqrt(242) + 4 + -1*sqrt(242) + sqrt(242)*2*-1))*-1)**2.\nAnswer: -22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 69. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1133, 952, 643, 200, -383, -1112, -1993, -3032?\nAnswer: -4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p. Let n = 26 + 18. Suppose -5*h + m + n = p, 2 + 2 = -h - 3*m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:05 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101075307?\nAnswer: 3, 19, 93329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -4*(1 + -2). Let n be (l\/(-4))\/((-1)\/(-54)). What is the highest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x*x\/((x\/(x\/x**(1\/6)))\/x))\/x)**(2\/9))**9 assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(168\/18))\/3)\/(6\/(-7))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-558)\/(-90) - -7.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 22*c + 93. Determine r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2 - 1. Let h = 6 - y. Let c(t) = -8*t**3 - 2 + t**2 + 4*t**2 + 5*t**3 + 2*t**3. Give c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7058*c + 63761. What is o(9)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-8)*-2*58\/3. Let q = k + 31. Suppose q*p - 5*i + 8 = -0*i, 2*p - 2*i - 4 = 0. Solve 5*z = p*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75777 divided by -25259\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6326 take away -0.47217245?\nAnswer: -2.16042755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2574*a*q*s**3 + 1579*a*q*s - a*q - 2*q*s**3 wrt s.\nAnswer: 15444*a*q*s - 12*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (104\/182)\/(((-2)\/3)\/((-8)\/6))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4230)\/(-564)*11\/((-1485)\/(-1224))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -40 + 18 + (2 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278 divided by 47.\nAnswer: -2278\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d)**(-14\/5)*(d*(d**(-4)\/d)\/d)\/(d*d**2))\/(d**(-2\/5)*d**5)**(-2\/9) assuming d is positive.\nAnswer: d**(-692\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354287?\nAnswer: 347, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*k**3 - 36*k**3 - 525*k**3.\nAnswer: -662*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuu. What is prob of sequence uuuv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 9 - 5. Let b(f) = -f**3 - 7*f**2 - 4*f - 7. Let x be b(q). Is x smaller than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 7) in base 3?\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) -0.5 (c) 123 (d) -0.28 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2158*v + 36620. Give f(-17).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -0.5 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 13. Let w be u(11). Calculate the remainder when ((-62)\/(-3))\/(22\/33) is divided by (-3)\/2*w\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 2602732*o**4 + 423384462372*o**3 + 1270171606300*o**2 + 846784541192*o = 0. Calculate o.\nAnswer: -2, -1, 0, 325343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042451842.\nAnswer: 2, 521225921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5858277843 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3808 - 7615\/2. Which is the fourth biggest value? (a) 3 (b) -0.5 (c) 91 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaasaaassa. Give prob of picking 2 a.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19962*h**2*j**2*q**3 + 22*h**2*j**2*q + 3*h**2*j*q**3 + j**2*q**2 + 734*q**2 wrt q?\nAnswer: -119772*h**2*j**2 + 18*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/12*(-8)\/(-3). Let a(n) = -11 + r*n - 11 - 22*n. Is a(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 168.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 3*r - 3. Let c(q) = -285*q**2 + 3*q - 2*q**3 + 284*q**2 - 5*q - 2. Determine -3*c(m) + 2*h(m).\nAnswer: 2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/16 and 91\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*(-5 + 0). Suppose 3*y - y = -8, -5*p + 2*y = -63. Let q be 53\/p - x\/(-11). Solve 1 = -l, -q*s + 3*l + 16 = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -15. Let z(i) = i**3 + i - 1. Let q(r) = 2*r + 2*r + 0*r - 3*r - 1. Give a*z(k) + 3*q(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6476625 (base 11) to base 14.\nAnswer: 1724d9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/3 - q**2\/2 + 12*q - 1. Let h be ((-3)\/(-9))\/((-1)\/(-3)). Let o be j(h). Let b(s) = s + 6. What is b(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.141 + -0.441. Let c = -0.9 + 1. What is the nearest to -2 in 3, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 5, -30950 in increasing order.\nAnswer: -30950, -193, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-2))\/(56\/2666608) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, -74, 1\/2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5576 by -697.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = i - 2*k, -3*i - 4*k + 28 = 0. Let c be -2 - -2 - (i - 3). Let y be 3 - c*4\/2. Solve 0*x + x + 2*p = 7, -y = -3*x + 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Suppose o - 2*o + 5 = 0. Let p(b) = 17*b - 11. Let h be p(1). Solve 0 = -k*n - a + 4, 3*n - o = 5*a - h*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12)\/sqrt(4) + 5 + 0.\nAnswer: sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let m be (2\/(-6))\/(4\/(-12)). Let u be m\/(-1)*(-1 - -2). Let c(s) = 7*s**2 - s - 4. Let a(t) = u*c(t) + 3*o(t). Give a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-6\/5)))\/(q*q**(-18)\/q)*(q*(q\/(q\/(q\/(q**(-2\/39)*q))*q)*q)\/q)\/(q\/(q*q**(-1\/7))) assuming q is positive.\nAnswer: q**(22807\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249370213 to the nearest integer?\nAnswer: 15791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -723*d**2\/4 + 721*d\/4 + 1\/2.\nAnswer: -(d - 1)*(723*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*z = -245*z + 335392. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12948 is divided by 12791?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -321\/7. Let r = -170.1 + 9.1. Let k = r - -165. Which is the closest to 1? (a) 2 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023 + 1?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 - 645*w**4 + 3050*w**3 + 50250*w**2 - 214245*w + 161595 = 0.\nAnswer: -133, -9, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 + 30*d**4 - 5*d**3 - 120*d**2 + 100*d = 0. What is d?\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274.0000459 - -274. What is g rounded to 6 decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -518 - -583 - (1 + (2 - 11)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7*u + 8. Let g(x) = -x**3 + 4*x**2 + 3*x - 6. Let v be g(4). Let y be w(v). Solve l + 3*l = j + 14, -y*j = 5*l - 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 46*b + 4. What is the tens digit of u(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31010103212 + -100?\nAnswer: -31010103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - 2*d**4)*(1 + 2 - 5) + (5*d - d - 2*d)*(3*d**2 - 3*d**2 + 2*d**3) - 89*d**4 - 20*d**4 - 17*d**4.\nAnswer: -118*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190768*d**5 + 245536*d**2?\nAnswer: 11446080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75377 and 2?\nAnswer: 150754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 1\/2*v**2 - 1\/6*v**3 + 1\/12*v**4 - 2*v + 0. Let o(w) = w**3 + 7*w**2 - 5*w + 6. Calculate o(c) - 6*t(c).\nAnswer: c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2151576497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.682105 rounded to three decimal places?\nAnswer: 0.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285703485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -17) + (8 - 0) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12302 - 11?\nAnswer: -12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 + 9226553*c**3 + c**2 - 98310983*c.\nAnswer: -72*c**2 + 55359318*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 53, -8, -26, -5, 4, -4 in ascending order.\nAnswer: -26, -8, -5, -4, 2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = -5*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjpijjisjjj. Give prob of picking 1 s and 2 j.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 943527, 943383, 943239, 943095?\nAnswer: 942951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 63 = -10*p. Let a be p\/(-12)*2*-2. Solve -4*m + a*m + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888917 - 5882646 = -13*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 161*s - 641. Let j be i(4). What is the smallest value in 2, j, 3\/4, 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z + 1. Let q(f) = 2*f**3 - 3*f + 3. What is 3*c(h) - q(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 32659591446515.\nAnswer: -32659591446514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let p(z) = -8*z + 22. Let n(u) = -p(u) + 5*w(u). Give n(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 3*r + 5. Let o(l) = 2*l**2 + l - 2. Let t(d) = d. Let z be t(4). Suppose -2 = 2*j + z. Calculate j*s(a) - 7*o(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11973 (base 14) in base 3?\nAnswer: 2012000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355*m + 142 with respect to m.\nAnswer: -355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u - 6. Let d be w(-1). What are the prime factors of 87 - ((-3)\/(9\/(-6)))\/d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**2 + 3*b**2 + 2*b**2 to the form v*b**2 + m + a*b and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*3*(5 + -1 + sqrt(500) + sqrt(500))*4*-2 + 5)**2.\nAnswer: 96000*sqrt(5) + 1162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14710732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218218719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12462 + -80?\nAnswer: -12522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2311*o**3 + 14*o**2 + 80*o - 384. Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/2 + 39930*v - 797202450 = 0.\nAnswer: 39930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)\/((g\/(g*(g*g**(1\/54))\/g*g))\/g)*(g*g*g**(-5)*g)**(-22\/7) assuming g is positive.\nAnswer: g**(2923\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4190a370 - 3?\nAnswer: -4190a373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345 and 489.\nAnswer: 168705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 46 + 1. Let l(c) be the second derivative of -c**3\/6 + 11*c**2\/2 - 49*c - 1. What is l(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14)**35 assuming q is positive.\nAnswer: q**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -127 - 35 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 18 = 7*v - 16*v, 226 = v + 228 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/12*d**4 + 0*d + 0 + 1\/2*d**3 + 32*d**2 - 1\/60*d**5. Find r, given that z(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 13) to base 11\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004998 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 28. Suppose -190*l = -87*l - 92*l - 55. Sort -5, l, t, 30 in decreasing order.\nAnswer: 30, l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -18. What is the least common multiple of p and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(560)*-4)\/(sqrt(2240)\/sqrt(7)))**2 + -3 + -3 + 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*1\/(-6)*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 577800 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46152 divided by 23076?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*o - 2*o - 47*o**3 + 2*o + 40*o**3 wrt o?\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -379, -381, -383?\n\"Answer: -2*a - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146064 and 4121616?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7 and 40\/187?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**6\/160 + c**5\/30 - 7*c**4\/96 + c**3\/12 - c**2\/2 - 8*c. Let y(m) be the first derivative of p(m). Factor y(v).\nAnswer: -(v - 1)**2*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37306901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/69)\/((-2)\/222). Let j = 1829\/460 + m. Let l = -97469\/22 + 4432. What is the common denominator of j and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/2 + 654*g**2 + 31*g - 2. Is 47 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18496, 3, 7405 in increasing order.\nAnswer: -18496, 3, 7405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + (-24 - 33) + 54 - (-2 + 24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*3\/(-18)*3. Let s(d) = -3*d**2 - 5*d - 1. Let l(g) = 3*g**2 + 4*g + 1. Let t(y) = -3*l(y) - 2*s(y). Calculate t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -691ae8 (base 16) to base 14\nAnswer: -cb43a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -3*g + 4, -4*w - 4*g = -28. Let l = 123 + -125.63. Let h = l - 0.37. Which is the second smallest value? (a) h (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.4, 6, 1.2, -0.075, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -24*w**2 - 6*w - 19. Let t be s(5). Let a = 4534\/7 + t. Is -2 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 535, 2768, 6541, 11860, 18731, 27160, 37153?\n\"Answer: h**3 + 764*h**2 - 66*h - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 + 4*k - 7. Let a be y(-5). Suppose 0 = -4*r + a - 35. Solve c + 7 = -s, -4*c - r = -2*s - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - k, 3*q + 1 = 5*k - 2. Let i(w) = -4*w**2 + 15*w + 8. Let o be i(q). Solve m + o = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 - 26 = -4*v, 2*h = -5*v + 48. Suppose h*r**3 - 52*r**2 + 3 - 4*r**4 - 9 + 5 - 15 + 48*r = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/3 + (-50)\/10)*-6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 75*b**2 - 415*b - 37. Determine o(-69).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(4*(-7)\/28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 388, 595, 788, 961, 1108, 1223?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -0.7. What is the second biggest value in w, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*j + 5*s + 830, -251*j + 252*j = -4*s + 1 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*f - 7 = 0, 2*j + 5*f - 1 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*y - 18, -370 = 3*y - 5*u - 359 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9278 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 136*p**2 + 515*p - 1682. Calculate a(-132).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6463640 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/7)\/z**7)**50)**(-1\/75) assuming z is positive.\nAnswer: z**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.289676 hours in weeks?\nAnswer: 0.4898195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(4 - 4 - 3*y) + 2*y - 6 + 6*y - 7*y.\nAnswer: 4*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 138, 549, 1226, 2163, 3354?\n\"Answer: -i**3 + 139*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2 + 2 + -12). Let c = -5.548 - -3.548. What is the nearest to k in c, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 13*d**2 + 68*d - 305. Calculate c(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -2*sqrt(1100) + 0)*-2)**2*-1.\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*m + 5. Solve 5 = -m*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/578437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:46 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 184 + -21?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -4, 2.63?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4223\/(-615) - (-9 - -2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 + 0.7. Let o = -16 - -15.1. Let q = o + -1.1. Which is the closest to q? (a) 3 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302389 is divided by 6023.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/38 - 221\/266. Let z = -5153\/9 + 572. Find the common denominator of z and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3712912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287 + -116. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13794 divided by 121?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/15, -2\/41, 5, 1 in decreasing order.\nAnswer: 5, 1, 14\/15, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -35. Let z = w + -22. Let n = -13.3 + z. Which is the biggest value? (a) 2\/5 (b) n (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.27 + 10.847. Let w = y - -0.303. Round w to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/21)\/(2\/144). Suppose -g = -8*f + 264. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 275*w**2 - 1381*w + 39. What is t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:46 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3170399 - 138*l**2 + 3170399 - 4*l + 157*l**2.\nAnswer: 19*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + 0 + sqrt(7623) + 1 + sqrt(7623))**2 + 0.\nAnswer: 1188*sqrt(7) + 30573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let q(i) = 28*i**2 + 2*i - 46. Calculate n(q(b)).\nAnswer: -28*b**2 - 2*b + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2431143 (base 9) to base 10\nAnswer: 1319610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v. Let i(w) = 2*w**2 - w - 1. Let g(p) = 2*p**2 - 3*p - 11. Let r be g(3). Determine r*i(d) + 2*z(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520.66647 rounded to one decimal place?\nAnswer: 520.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16482999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45507*x**4 - 1154*x - 2?\nAnswer: -546084*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.603452 millilitres?\nAnswer: 0.004603452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 499456741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 436.5 - 437. Which is the biggest value? (a) 5 (b) x (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3 (c) -133 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 + 2968*h**3 + 8940*h**2 + 16*h - 11920 = 0. What is h?\nAnswer: -2, 1, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21c13 (base 13) in base 14?\nAnswer: 18511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7656275 is divided by 174004.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/4 - 2\/(-4). Let t be 1616\/176 - 4\/22. Suppose -o + 4*y = -q, -4*y = 11 + t. Which is bigger: o or -2\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -215, -580, -1251, -2330, -3919, -6120, -9035?\nAnswer: -12766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50580 is divided by 856?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*c**3*d**4 + 17*c**3*m + 2*c**2*m - 2*c*d**2*m + 295204*c*d*m - 17609656*d**4*m + d**2 wrt d?\nAnswer: 528*c**3*d - 422631744*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510640.\nAnswer: 2, 5, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7185 + 7509. What is the greatest common factor of m and 9612?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1535, -3101, -4667, -6233, -7799, -9365?\nAnswer: -10931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4, -4, -460, 5, 1026 in descending order.\nAnswer: 1026, 5, 4, -2, -3, -4, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -11*d + 105. Let b(i) = 20*i**3 - 2*i**2 - 3*i + 5. Calculate the least common multiple of b(1) and -5*(-4 + 6\/d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 5*g, 4*h - 10 = 6*g - 4*g. Suppose 65 = 4*v - h*v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.5 + -16. Let s be (-65)\/(-26) + 27\/(-10). Sort p, -1, 1\/2, s in descending order.\nAnswer: 1\/2, s, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11888 = -23*v + 27*v, -2*v = -5*h + 14854. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 4) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18326 = -90893*o + 90354*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8416837 (base 9) to base 5.\nAnswer: -2122434331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 547*a**3*o + 36711*a**3 - 39*a*o wrt o?\nAnswer: 547*a**3 - 39*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 18\/5 (b) -6 (c) -2\/3 (d) 3\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(10) + sqrt(40)\/sqrt(4)))\/(sqrt(180)*-1 - sqrt(180)) - (((-1 + sqrt(448) + sqrt(7) + sqrt(7)*1*-5)*-1)**2 + 3).\nAnswer: -116 + 191*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjpqipjll. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1668 by -2.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -156, 79, -4, 0 in decreasing order.\nAnswer: 79, 2, 0, -4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12 (b) -5\/3 (c) -932 (d) -188 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 - 3*k**2 - 7*k**2.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206008, -2412068, -3618248, -4824608, -6031208?\nAnswer: -7238108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 divided by -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 + -295. Which is smaller: 21\/19 or c?\nAnswer: 21\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50\/3 - 13\/3*w**3 - 95\/3*w + 1\/3*w**4 + 19*w**2.\nAnswer: (w - 5)**2*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 9*t**2 - 9*t - 4. Let g be f(10). Let j be 21\/35 + g\/(-10). Solve -3*q - 4*b + 16 = j, -2*b + 12 = 5*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2 - 1. Let b(s) = 14*s. Determine b(o(m)).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 33*i + 67. Let r be g(31). Suppose -5*x = 2*p - 1891, -x + r*x = -3*p + 1510. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/1 + (81 + -45)\/2 + (-254)\/28\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3939, -31464, -106167, -251634, -491451?\nAnswer: -849204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*d - 10341 = -4244 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q + 7*q - 5*q)*(4*q - 4*q - q)*(0*q - 2*q + q + (2 - 3 - 3)*(q + 0*q - 3*q) + 2*q - 1 + 1) to y*q**3 + o*q + w + c*q**2 and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:43 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1472 divided by -5\nAnswer: -1472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -313923 - 65645?\nAnswer: -379568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(28\/6*1560\/364).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.747 and 23.\nAnswer: 17.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -475*a**2 - 235. Let x(n) = 952*n**2 + 470. Let t(v) = 7*q(v) + 3*x(v). Find the first derivative of t(o) wrt o.\nAnswer: -938*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4692*s**2 + 5876*s wrt s.\nAnswer: 9384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 7*k - 11. Determine f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22606510 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 4*h + 2. Let y be i(1). Solve -7 + 2 = y*n + 5*w, n + 3*w + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 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: Is 3702377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/27 + (-4)\/18. Let c be q\/13 + (-22)\/(-6). Factor -c*l**2 + 5\/3*l**5 + 0 - 17\/3*l**4 + 7*l**3 + 2\/3*l.\nAnswer: l*(l - 1)**3*(5*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3855)\/514 - 92\/(-8). Suppose -5*n - 2*z + 38 = 0, 6 = 4*n + 5*z - 38. Calculate the greatest common factor of j and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -11*p - 54. Let o be p\/(-4) + 16\/32. Calculate the common denominator of -11\/7 and (o + (-161)\/21)\/(10\/3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v + 1. Let f(p) = -p**3 + p**2 + p + 2. Suppose -3*r - 1 = -4. Give r*f(w) - 2*q(w).\nAnswer: w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arraaaaaaa. Give prob of picking 1 a and 1 r.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifmmhahfffffm. Give prob of picking 2 h and 2 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 179*q**2 + 21 + 21 + 14*q**3 - 59 + 17.\nAnswer: 4*q**3 + 179*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236 + -230. What is the highest common factor of 86 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47908 divided by -28\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54397 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229024.5 centuries to millennia.\nAnswer: 22902.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 5*p - 576 = 0. Let y be 1\/6 + 176\/p. Solve y*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g - 2032 = 29*g - 45*g - 37*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120201000 + 201?\nAnswer: 11120201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 3619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328*-1.3.\nAnswer: 1726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/21454 or 0?\nAnswer: -43\/21454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 39. Suppose y - k = 3*x, -y - 5 = -2*y - x. What is the units digit of 16\/y + -2 + (-594)\/(-77)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 53. Determine r(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/4 - 7*n**2\/2 + 6*n - 24. Determine i, given that f(i) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = -4*j - f, 4*f = 3*j + 23. Is (-409 - 4)*(j\/1)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -73. Let r = 15 + w. Is (5219\/34)\/(r\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3949302.\nAnswer: 2, 3, 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1646309 (base 10) to base 4.\nAnswer: -12101323211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 28. Let x(a) = 144*a. Calculate x(j(p)).\nAnswer: -288*p + 4032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73787241 to the nearest integer?\nAnswer: 8590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -732.4 + 732. Put n, -9, -1\/3, 0.2 in descending order.\nAnswer: 0.2, -1\/3, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19715 is divided by 9338?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -768 + 17661\/23. Let b(a) = a**2 + 4*a - 1. Let m be b(-4). Is m != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 9\/(-15)*35\/(-7). Let t(o) = -w - 2 - 1 + 12 - 2. Let r(i) = -5*i. Give -r(u) + 2*t(u).\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -19 - 43 - -20) + 15 + -137\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/(2 + -27 + 4) and -49\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 122664*n + 4050090.\nAnswer: -2*(n - 33)*(n + 61365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2)\/((-6)\/(-59862)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2936 divide 18365459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1755 and 54?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 2*f**5 + 0*f**3 + 2*f**3 + (-3*f + 3*f + 34*f)*(-16*f**4 + 19*f**4 - 37*f**4).\nAnswer: -1155*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + -1 - (-58 + 70))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/5)*x**5*x*x**(3\/2)*(x*x**(-1))\/x assuming x is positive.\nAnswer: x**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 9) in base 13?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:42 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide ((-13)\/3 + 4)\/((-6)\/7542)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -8 - 4*c + 1\/2*c**2. Let w be a(4). Solve 3*k - 6*k + 15 = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 1.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15. Let s(f) = -f + 31. Determine 6*s(u) - 13*y(u).\nAnswer: -6*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36a - -9788?\nAnswer: a047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1323269 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2666*x - 2514. Calculate a(2).\nAnswer: 2818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 298 + (5\/(-10))\/(4\/(-24)). Calculate the greatest common factor of k and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003499787667 to 7 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107326314 to the nearest integer?\nAnswer: 10360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5418, -15499, -25580?\n\"Answer: -10081*y + 4663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 6107491?\nAnswer: 6107491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v + 18. Let u be z(11). Let w = u + 18. Suppose 17*m - 291 = w*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5713108*k**3 - 10471639 wrt k.\nAnswer: -17139324*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from tettteeppeeep?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 82*g - 81*g + 10, -21*n = 5*g - 105 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i - 150537015 + 150537015. Let w(x) = 499*x. What is u(w(g))?\nAnswer: -3992*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413 (base 6) in base 12?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21785125 to the nearest integer?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5370*0.5\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z + 160 = 0. Suppose 0 = 28*b - 54*b - 832. Is z less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 109 - 117 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(704)*-4*-3 + 1 + sqrt(704) + sqrt(704) + -4 + 2.\nAnswer: -1 + 208*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4754 (base 9) in base 3?\nAnswer: 11211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96792 and 371036?\nAnswer: 2226216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t + t + (2*t - 3*t + 2*t)*(-2*t - 1 + 1) - t**2 + 5*t**2 - 2*t**2)*(2*t - 6*t + 3*t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/774*-36)\/1*(-1)\/241\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**2 + 17*b - 1441. What is a(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 = -31*l - 189 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*g - 11, -u = 8*g - 5*g - 5. Which is the nearest to u? (a) 1\/12 (b) -10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1740500 by -24.\nAnswer: -435125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a74 (base 13) in base 15?\nAnswer: -7e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -l + 60. Solve l*s = -a - 8, -2*a - 2 = 2*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 25*i + 21*i - 13, 5*j = -5*i - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2 - -9)) + -2 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42.85 and 1.541.\nAnswer: 44.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191111310 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 3*g + 7. Suppose 0 = -3*c - 4*z + 12, 0 = z - 0*z. What is the remainder when -15*c\/(-8)*4 is divided by a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 8*q**2 - 7*q. Let t be y(-7). Suppose t = -2*p - 53 + 7. What is the tens digit of (p - 0)\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let i be a(5). Let d(w) = -w - w - i*w. Is 5 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = c - 5*q, 2*c - q = 4*q + 62. Suppose 5*p - o - 11 = 2, -3*p + 5*o = -c. Solve -5*z - 14 = 2*v, 0*v + p*v + 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:51 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2818 from 285.\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w + 63. Let u(k) = 12*k - 73. Give -5*g(q) - 4*u(q).\nAnswer: 7*q - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12660098 and 0.061.\nAnswer: 12660098.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + 2*j + 4. Determine o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*i**2*p - 8*i**2 + 12 wrt p?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 4505 + 11302 + 10747. Calculate the remainder when u is divided by 54.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137199 is divided by 54149?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 4*o - 7. Let p be h(-5). Let i = 66 - p. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u + 8 - 8 + 0. Let f(t) = -3*t - 7. Let i(z) = -z - 2. Let l(o) = 2*f(o) - 7*i(o). Determine l(c(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4415024 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -30*r**3 + 5*r**2 + 11*r - 9. Let u(w) = -44*w**3 + 7*w**2 + 16*w - 13. Calculate 7*m(f) - 5*u(f).\nAnswer: 10*f**3 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -628, -2115, -4472, -7705, -11820?\n\"Answer: -r**3 - 429*r**2 - 193*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 2. Let q be z(0). Let o(i) = 10*i**2 - 3*i**2 + 9 - 12 - 10*i - i**3. Let f(m) = m**2 - m - 1. Let d(b) = 6*f(b) - o(b). What is d(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*10\/(-20)*2\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 309*f**2 + f - 3. What is the tens digit of q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (48\/(-20))\/(-6) - (-2303)\/5 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n - 4. Let m be y(-8). Let x = 7 - -4. Let q be 3\/(3\/x) + 1. What is the greatest common factor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slsslklljllljslr. What is prob of picking 1 r, 2 j, and 1 l?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1357*a + 476*a - 5499 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 3. Let h be b\/24 - 1\/(-4). Suppose q + 0*m = -3*m + 20, 2*m - 6 = h. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23246410 - 1?\nAnswer: -23246411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.649596g to micrograms.\nAnswer: 5649596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 47*m - 314. Let c be s(-53). Sort -3, 221, -4, c, 0.\nAnswer: -4, -3, 0, c, 221","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 2*y - 137 - 7*y**2 + 4*y**2 - 148 - y**3 + 328 as f*y**4 + s*y + c*y**3 + a + b*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(275))\/(sqrt(60)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -0.4 (c) 4 (d) 0.5 (e) -27 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let k(y) = -9*y**3 + y**2 + 2*y + 1. Let n be k(-1). Suppose n = c*l - 90. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291284*m = -291502*m + 1744 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**2 - 40*i + 449*i**4 - 8*i**2 - 36*i wrt i?\nAnswer: 10776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46337, -185463, -417341, -741971, -1159353, -1669487, -2272373?\nAnswer: -2968011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 - b**3 + 6*b**2 - 6*b**2.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13294 or -13293?\nAnswer: -13293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120021221220002 + 0?\nAnswer: 10120021221220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:07 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101525, 1101772, 1102033, 1102314, 1102621, 1102960?\nAnswer: 1103337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8828.967 + 8800. Let m = -0.033 + b. Let t = 32 + m. Sort t, -1\/4, -1 in increasing order.\nAnswer: -1, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16455886 to the power of 1\/2, to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 3) + -156 - (-1 + 2). Let s = n + 1451\/9. What is the nearest to -1\/3 in s, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 5 (b) -2.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otobtttto. What is prob of sequence ottt?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + -0.53. Which is the closest to 3? (a) 1 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcwcwwwpcppw. Give prob of picking 4 w.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = -2*s + 23*c + 108892, -7*s - c = -381145. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**2 + 0*q**2 + 0 + 1. Let g(j) = -4*j**2 - 3*j**2 + 5*j**2 + 0*j**2. Give g(d(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 101011?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 3. Let x be z(3). Let y(t) = t**2 - 9*t + 2. Let b be y(x). Suppose 4*n = -4*j + 40, b*n + 6 = 5*j - 30. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2. Let z(l) = -2*l**2 + 15. Determine z(y(u)).\nAnswer: -18*u**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**4 + 76*n**3 + 8*n**2 + 1250.\nAnswer: -4*n**3 + 228*n**2 + 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(2 + 60\/9). Let n(r) = -7*r**2 - 8*r - 8. Let u(g) = 15*g**2 + 17*g + 17. What is l*n(y) - 6*u(y)?\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -98. What are the prime factors of (5 - (-5 + 466\/m))*6?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = z - 2*j, -29*j = -z + 12 - 183 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + 5 + -5 + sqrt(405) + sqrt(405) + (sqrt(405) + -1)*5 + 4*(sqrt(405) - ((sqrt(405) + 0 - sqrt(405)) + -3 + sqrt(405))))**2.\nAnswer: 504*sqrt(5) + 19860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -28301 + 28391 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 2*g**2 + 3*g**2)*(226*g - 226*g - 13*g**2).\nAnswer: -91*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(1\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2463, -2468, -2477, -2490, -2507?\nAnswer: -2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 983 = 4*v - 235171, -v = -4*t - 58568. Calculate the greatest common divisor of 52 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -21545924.21 to the nearest one thousand.\nAnswer: -21546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 8. Let i(v) = -7*v. Let y(c) = -217*c. Let d(z) = g*y(z) + 63*i(z). Let w(f) be the first derivative of -f**3\/3 + 86. What is d(w(n))?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*j**3*x**5 + 12671*j**3*x**3 + j**3*x + 75*j**2*x - 3*j*x - 6325*x wrt x?\nAnswer: -3420*j**3*x**3 + 76026*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -9, -15?\n\"Answer: -6*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 1037.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 4*j + 5. Suppose i - 5 = -s, -j = -4*s + 7. Find k such that -k**3 + k - 14 + 0*k**i + 14 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 5*o - 2, -4 = i + 3*o. Which is the closest to i? (a) -3 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56890735, 227562914, 512016539, 910251604, 1422268103?\nAnswer: 2048066030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2.75686.\nAnswer: 8.27058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3383*x**3 + 53*x - 28?\nAnswer: 20298*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 7*f - 16 = 0, -2*l - 12 = -3*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 354708159 a multiple of 5213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -22. Put m, 6, 4 in increasing order.\nAnswer: m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48511807.\nAnswer: 19, 23, 31, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547630 to the power of 1\/2, to the nearest integer?\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2258*o - 699847. Give d(310).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/8 - (-2)\/8. Find the common denominator of 87\/28 and 85\/120 + (-6)\/r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1810*l + 7 + 5 - 10 - 694*l**3 + 1451*l**3 wrt l.\nAnswer: 4542*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 232 = 7*i. Let y(r) be the first derivative of 0*r**3 + 3 + 0*r - 9\/4*r**4 + i*r**2. What is the second derivative of y(z) wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -631\/6362 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 + o + 2. Let i be f(0). Let t = -2214 - -2217. Solve 0 = -j - t*v - 4 - 3, v + 4 = -i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86707219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20) + 41\/(-82).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244223322 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-2 + -4)*-5*-1)**2.\nAnswer: 2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 215.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26192660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 114784, -2\/5, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3024, -3004, -2974, -2934, -2884?\n\"Answer: 5*x**2 + 5*x - 3034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*a - 3, 4*y + a = 2 - 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 121, 176, 229, 280, 329?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5\/60 + n**4\/12 - n**3 + 3. Let u(w) be the third derivative of c(w). What is the first derivative of u(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, e: 4, o: 5}. Give prob of sequence oee.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:26 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (1 + -2)) + 4 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 613\/2, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*((sqrt(117) - sqrt(117)*-2)\/sqrt(9) + sqrt(13) + sqrt(13) + sqrt(468) - (sqrt(13) - (sqrt(13) - (sqrt(13) - (sqrt(832) - sqrt(13)))))*-6*-6))**2.\nAnswer: 24115572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -4 in descending order.\nAnswer: 4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 12 = -5*q, 0 = -0*q - q - p + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 73286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 + 6 = 39*i + 13. Let k(v) = 7*v - 52. Give k(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -68. Which is the closest to m? (a) 2\/5 (b) 1 (c) 0.8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/36 - 2\/(-6). Suppose -3*b - y = -35, -3*y = 2*b - 15 + c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*b = -140, 3086*z + 2*b = 3085*z + 48 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181321 divided by -25903?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -435938*i**2 - i + 24. Let n be x(-8). Round n to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.4 - 5451.\nAnswer: -5460.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3056, -1\/5, -0.03, 1\/9, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + u - 42 = 0, u - 1 = 2*z - 94. Let i = 785 - 780. Calculate the greatest common divisor of z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 m, and 1 n when four letters picked without replacement from {z: 6, n: 4, i: 4, m: 3}.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*n = 15, 9*v + 163244*n + 40 = 163239*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + -1 + 2 + 1)**2.\nAnswer: 120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 29. Suppose 5*v - u = -4*r, 9 = v + v - r. Suppose -f + 480 = v*f. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 + 4*c + 7. Let q be w(-5). Let r = q + 8. Suppose n = 5, 0 = -3*o + 5*n - 7 + 18. Calculate the smallest common multiple of o and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8 - 78. Let c be (210\/y)\/(1\/4 + -1). What is the greatest common factor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111111111101101001 - 110?\nAnswer: -100111111111101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6479*o**2 + 25932*o - 5. Calculate a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -682 + 705 + -1 + -36\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529899.99 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11452201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2299) - ((sqrt(2299) + 1 - sqrt(2299)) + -5 + sqrt(2299)) - (-5 + 1 + sqrt(2299))))**2*3.\nAnswer: -8448*sqrt(19) + 113424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33019228.\nAnswer: 2, 11, 750437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/1 - (-2)\/(-1). Let u = 3 + 0. Suppose -6 = 2*h, -8*y + 4*y + v = -u*h. Put 1, -0.2, y in decreasing order.\nAnswer: 1, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/70*(-580)\/(-174).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {h: 4, y: 4, g: 12}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/(-1260)*1130\/(-9)*(-78)\/(-65)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t - 1284 = -28*t + 323*t - 4984 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22478 - 22283. Calculate the remainder when 601 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*((-15)\/(-6))\/5. Suppose -g*n = 2*v + 10, 0 = -4*n + 5*v - 16 + 41. Suppose -4 + n = -y. Solve -m = y*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/3 + l**5\/5 - 3*l**2 + 5*l - 30. Find the second derivative of r(k) wrt k.\nAnswer: -40*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.66 + -0.645836. Round x to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 4. Let d be n(-4). Suppose 0 = 4*p - 0*p + 2*a - 320, -5*a = d. Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1685073592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1020 and 1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -52, -83, -118, -157, -200?\n\"Answer: -2*j**2 - 21*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36185 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8811 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 2.24. Let g = r - 1.62. Which is the fourth biggest value? (a) -0.17 (b) 0 (c) g (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*b - 199*b = 2*c + 88*b - 30, 10*b = 3*c + 24 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let s(x) = -30*x. Let g be 2\/(-4)*(8\/4 - -2). Give g*s(z) + 66*w(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15299 + -15304. Which is the closest to -0.1? (a) -0.07 (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708521337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/3 + 13*o**3\/3 + 2*o**2. Differentiate n(k) with respect to k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 205?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.9 - 33.7. What is the fourth smallest value in 3, -2\/7, -0.6, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -140.5052?\nAnswer: 39.341456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1316038 and 29\/9521922.\nAnswer: 161872674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 8084*i**2\/7 - 16174*i\/7 + 8088\/7.\nAnswer: 2*(i - 1)**2*(i + 4044)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from mtssbkkkstvkktsksktv.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24158 - -2?\nAnswer: 2415a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**2 + 3*m - 28*m**2 - 7 + 7 - 7*m.\nAnswer: -m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 10. What is the second derivative of -2*x**5 - 6 - x + w wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdzkzkkwkdi. Give prob of picking 1 w, 1 z, 1 d, and 1 f.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/45*(-15)\/21*(-30)\/15?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 432, 562, 708, 876, 1072, 1302?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2013573*k**4 - 2*k**3 + 1085*k + 279?\nAnswer: -24162876*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let c = -20 - -19.5. What is the closest to 0 in 1\/5, c, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8811341 and 1540?\nAnswer: 176226820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.5024058 take away -781?\nAnswer: 654.4975942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4864)\/6688*(-22)\/(-52).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1004*j**2 + 41*j - 40. What is the tens digit of f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/24*a**4 + 0*a**3 + 2*a + 3\/2*a**2 + 0. Let w(z) be the first derivative of f(z). Let p(x) = 5*x**2. Give p(w(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m + 4*h, -15 = 3*h + 2*h. Calculate the remainder when 43 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x = -76*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-348)\/64 - (-2 - 1) and -93\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232 - -5053?\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 - 5*u**2 + 6*u - 257. Let x(f) = -11*f**3 + 11*f**2 - 13*f + 512. Give -9*p(t) - 4*x(t).\nAnswer: -t**3 + t**2 - 2*t + 265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3 + -31dd0b?\nAnswer: -31ddb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-16))\/(3\/(-27)). Which is bigger: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (363\/(-22))\/(51\/68)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626129 is divided by 156504.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25397611.54 + -25397656.54000066. Let g = 44.35 + 0.65. Let q = w + g. Round q to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -1 (b) 0.2 (c) -5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 6*m - 47 - 73 - 4*m.\nAnswer: 3*m - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 293680 and 33520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = 7*h - 465. Factor -6\/5*w**3 + 22\/5*w**h - 8\/5 - 16\/5*w.\nAnswer: -2*(w - 2)**2*(3*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5288 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1082 + -11.2182. Let x = 11.2 + c. What is the smallest value in -3, 4, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -5, 3 in decreasing order.\nAnswer: 3, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2 - 2*h - 44*h - 22*h. Is t(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 7. Let o be n(-4). Let i be ((-34)\/o)\/(15\/(-45)). What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.9 - -57. Let l = -28 - -13. Let f be 6\/l*(-5)\/(-11). What is the closest to -1\/3 in f, o, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + -3 + (-4 - -1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -58113\/589?\nAnswer: -58113\/589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5788585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/(6*2\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:03 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 5)*38\/(-95). Sort -1, y, 12, 1 in decreasing order.\nAnswer: 12, 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfuf when four letters picked without replacement from rrcrcfucurrurrrcffrr?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -580 - -221. Let f = v - -354. Which is the second biggest value? (a) 0 (b) f (c) 15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.5, 2\/15, 20015, 6?\nAnswer: 20015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55383223 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3894017t in milligrams?\nAnswer: 389401700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 1, m: 4, h: 2, u: 3, z: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/62753 - -3200179\/7028336. Find the common denominator of x and 1\/20.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 + 451. What are the prime factors of c?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 - 10 = 0. Which is smaller: l or 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 4*d)*(4*d + 0*d - 3*d)*(-d**2 - 4*d**2 + d**2).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2105100 (base 11) to base 10.\nAnswer: -3710949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-30) - ((-46)\/6 + 8). What is the smallest value in -3\/2, -16, t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/3)*d**(4\/7)\/d)\/((d*(d*((d\/(d*d*d**(-1\/24)))\/d)\/d*d)\/d)\/(d\/d**(-3\/20))) assuming d is positive.\nAnswer: d**(377\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6*1)\/(-2))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*y**5 - 7*n*y**3 - 7*n + y**5 + 9*y wrt y.\nAnswer: 20*n*y**3 - 42*n*y + 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 36*l + 30. Let u be 6 + -3 + (-18)\/(11 - 2). Let a(t) = 2*t. Let z(x) = 3*x + 1. Let p(n) = -a(n) + z(n). What is u*o(h) - 30*p(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4996*p**3*v + 3*p**2*v + 85*p*v wrt p?\nAnswer: 29976*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8564 + 12057. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/6*4\/4. Let z be 1 - ((-2)\/2 - 2). Let d(b) = b - 1. Let q be d(4). Solve q*x = m + 8, c*x - 2*x = -z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*s - 11, l = 4*s + 8 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -200281?\nAnswer: -200281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1053+-22\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let o(h) = -7*h - 4. Let p(s) = -14*s - 7. Let w(m) = -7*o(m) + 4*p(m). Give w(y(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -102. Let j be (-60)\/(-15)*(-1 - (-2)\/f). Suppose 4*d + 8 = 0, -114 = -p - 3*d + j*d. What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 14. Let f = 10 + b. Suppose -4*q = -0*q + 20. What is the biggest value in 2\/5, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5956 - -5983) + 0 + 2 + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (20 - (-30 + 81)) + 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + 0 - 1. Suppose a - f - 4 = r, 4*f - 8 = -5*a + a. Solve 0 = l + 3*v + 4 + 1, 5*l + 7 = a*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144665 and 36?\nAnswer: 5207940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966673286?\nAnswer: 2, 483336643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/377 - 768\/2639. Is 1\/342 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/210 + 61*f**4\/84 - 20*f**3\/7 - 3*f**2 - 13*f. Factor s(l).\nAnswer: -2*(l - 60)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.3? (a) -22 (b) -0.1 (c) -2\/17 (d) -1\/4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 72. Calculate the greatest common divisor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 + 5*k - 45. Let v(j) = -6*j**2 - 4*j + 43. Give 3*b(c) + 4*v(c).\nAnswer: -3*c**2 - c + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6*t - 7. Solve v - 2 = -t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 45*x + 188 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.945 + 182472795665\nAnswer: 182472795662.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h**3 - 2*h**2 + 0*h + 0 - 5\/6*h**4. Let l(k) = 167*k - k**2 + 165*k - 383*k - 114*k + 165*k. What is l(n(i))?\nAnswer: -400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*c**3 - 9*c**2 - 4*c wrt c?\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000053031073 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = i - u, -8*i = u + 43479 - 43429 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - h**3 + 2*h**3)*(3*h + 0*h - 4*h) + 2*h**4 - 3*h**4 + 2*h**4 + h**4 + 4*h**4 + 6*h**4 + 2*h**3 - 2*h**3 - 4*h**4.\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 6*n)*(-1 + n + 1)*(0*n + 0*n - 2*n**2).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -2120.\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/243340 and -109\/16060440?\nAnswer: 16060440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 120. Suppose -3*r + 7 = -11. Let b(w) = w - 6. Let f be b(r). Is 24 a factor of v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368988131.\nAnswer: 368988131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjojoo. Give prob of picking 3 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a94 - -11?\nAnswer: -a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 - 2*f - 10. Let c be t(-5). Let j be ((-7)\/5)\/((-3)\/c). What is the highest common divisor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30497*d - 3 = 30496*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41324 is divided by 10331.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2187 - 2909 - 1127)*(7*a - 2*a - 2*a) as z + d*a and give d.\nAnswer: -5547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 + -1 - -1). Let f = z - 6. Let r(o) = -o**3 - 22*o**2 - o - 29. Let l be r(-22). Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 2*x + 0*x. Let z(p) = 5*p. Let b(s) be the first derivative of -s**4\/4 + s**2\/2 - 8*s + 2. Let d be b(0). What is d*y(o) - 3*z(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, k: 8, n: 3, i: 2, l: 2}. What is prob of picking 1 n, 1 k, and 2 l?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 - 6*f + 6. Let t be k(6). What is the third derivative of 3*s**6 + 0*s**6 + 4*s**2 + 0*s**6 + 4*s**t wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d. Let g = -3 + 6. Suppose -1 = -2*r + g. Let i(y) = 0 + r - 2 - y. Give i(h(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5 + 149*l + 146*l + 66*l**5 wrt l.\nAnswer: 1400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 19*m**2 - 17*m + 22. Let u(g) = -g**2 - 7*g. Let t be u(-9). Let p be l(t). Solve p*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 0*l**2 + 250 - l**3 - l**3 + 50*l + 0*l**3 - 5*l**2.\nAnswer: -2*(l - 5)*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 46*g**2 + g - 16. Let w be c(23). Let m(i) be the first derivative of -2 - w*i + 7\/3*i**3 + 0*i**2. Differentiate m(k) with respect to k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 6. Suppose 6 = v*q - 4. Suppose -12 = q*y - 2. Let l(k) = k + 2. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286.329l in millilitres?\nAnswer: 6286329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 5. What are the prime factors of l?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:53 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -77*q + 146. Let t(b) = 39*b - 76. Determine -4*i(c) - 9*t(c).\nAnswer: -43*c + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 6*k**2 + k**2)*(3870945*k - 7808*k**2 - 3870945*k + 3 - 3).\nAnswer: 39040*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -714116728 and -57?\nAnswer: 714116671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 508 - 2d?\nAnswer: 4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4063*b**2 - 4053*b**2 + 8118*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3429*m - 4424. What is the thousands digit of l(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 14*y + 11*y - 36*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 948307 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 plus 315.91?\nAnswer: 854.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8152 and 354308338.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64644 and 1.\nAnswer: 64645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*p - 285*p = 114. What is the highest common factor of p and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -687*t + 688*t. Solve v + 2 = 0, 0*o - 8 = -3*o + t*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17299.\nAnswer: 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766702626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**3 - 6*x**2 + 4*x + 6. Let f be h(3). Suppose -n = -b - 70, 4*n - 80 - f = -3*b. Calculate the remainder when n is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 54, 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/10 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Suppose -3*k + 196 + 551 = b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4798441 smaller than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (27 - -47) - (33 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, t: 6, g: 2}. Give prob of picking 2 q and 1 t.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*l + 2159, -35*p + 30*p + 5*l + 10795 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from raaarrrrraar.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-8)*g*g*g))\/(g*g*g**1)*(g\/((g**7*g*g*g)\/g))\/(g\/(g*g\/g**10)*g) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -89. Suppose 3*c + c = -16. Put c, -0.3, d in descending order.\nAnswer: -0.3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*b**3 + 1050 wrt b?\nAnswer: 387*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, g: 1, i: 3}. Give prob of picking 1 g and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1204.802 to zero decimal places.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6 - 5 + 3 - 3*q + 10. Give f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*h + 4*j, 2875*h + 3*j = 2879*h + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1. Let k(t) = 2*t - 6. Let i(x) = k(x) - 6*p(x). Suppose 4*w - 4 = -3*c + 12, -5*c = 4*w - 24. Let m(l) = w + 2*l - 1. Give i(m(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-9)*(-19986)\/(-23317)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 154337*h**2 + 308678*h.\nAnswer: -h*(h - 154339)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320226 (base 7) in base 12?\nAnswer: -12023b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f - 4*g + 104, -10 = -5*g. Suppose 3*s - 400 = 2*a, 8*a - 6*a = -4*s + 524. Calculate the greatest common divisor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 30. Let s(y) = 7*y**2 + 5*y + 6. Let m be s(z). What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 - 4*n - 22. Is t(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, e: 13}. Give prob of sequence ene.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b = 39. Suppose -3*u = -3*n + b, -4*n - 3*u + 61 = 2*u. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100415 is divided by 75.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700)*1*3*5.\nAnswer: -150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**2\/2 - 1. Let m be y(0). Let d = 22\/9 - 128\/45. Is m at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 30 = 4*d + 22, 10 = -d + z. Let l(k) = 11*k + 0*k**2 - 33 + k**2 + 0*k**2 + 49. List the prime factors of l(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -16*w**2 + 17*w - 45. Let q(v) = 14*v**2 - 16*v + 44. Let z(i) = 5*c(i) + 6*q(i). Let x(g) = -2*g**2 + 6*g - 20. Determine -11*x(j) - 6*z(j).\nAnswer: -2*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5 = 258*n - 253*n, 3*q = 4*n + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-5)\/5)\/(48\/30)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = -5*i, -3*t + 1744 = -3*i + 1750 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6679 - 6607. Solve 30*o - 12 = -l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (8 + -2 + (1 - -2)) - (-5 + 14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 7*o = -7*o - 1023 + 44 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.84011 to the nearest integer.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2999 = -2*a, 3*w - 8*w - 7435 = -5*a. Suppose 0 = -4*c - 2*y + a, -5*c + 121 = -2*y - 1744. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 7587?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 27*t + 85. Calculate o(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 7747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.08. Let f = c - -0.04. Round f to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, 5, -3, -4.\nAnswer: -4, -3, 5, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1543\/12 + -132. Let z be (-81)\/6*(-52)\/3. What is the common denominator of f and z\/(-8)*(-1)\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6929*4.02.\nAnswer: 27854.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - 1)) + (-1045)\/(-38) + -29.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 499*d**2 + 2.\nAnswer: -499*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 4*d - 9. Let w be c(4). Let j = w + 187. Solve -1 = 3*i - j*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 21*l**2 + 4*l + 84. Give y(20).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 12. What is the remainder when s is divided by ((-6)\/7)\/((-26)\/273)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 1.41.\nAnswer: -1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 25*a**3 - 10*a**2 - 120*a = 0. What is a?\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, 1\/6, -10.2 in decreasing order.\nAnswer: 1, 1\/4, 1\/6, -10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 26*q - 35. Let x = 46 + -28. Suppose -3*n + n = -x. Calculate the remainder when y(-3) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) -0.24 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 18 = 2*t + 32, 3*w - 2*t = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = -0*o. Let k(a) = -3*a - a + 3*a - a**2. Let q(t) = 6*t**2 + 4*t + 2. Determine o*k(v) - q(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -240, -467, -730, -1041, -1412, -1855, -2382?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123540182?\nAnswer: 2, 61770091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -172*a - 86. Let k(y) = 131*y + 86. Give 3*c(w) + 4*k(w).\nAnswer: 8*w + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*b = 1908 - 8997 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -79. Let a = 2 - l. Let j(v) = 2*v**2 + 3*v + 4. Calculate the remainder when a is divided by j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 7*j - 3*j - 40, -5*j = -3*d + 61. Suppose -d*x = -21*x + 522. What is the remainder when x is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22669 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 16 + -2 + 19)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 3. Let g(k) = -k + 1. Let a(p) = -9*p + 5. Let c(u) = -28*u + 14. Let m(j) = 7*a(j) - 2*c(j). Let o(l) = -5*g(l) + m(l). Give 5*o(i) - 4*x(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/7 (b) -0.05 (c) 136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020 (base 3) to base 16.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -35. Let q be -3*3\/27*-1. Sort x, -0.2, q in decreasing order.\nAnswer: q, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - 4*d + 7. Let n be i(4). Let c = -36 + n. Solve -3*q = -4*q + o + 1, 2*o = c*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12*l = 3736. What is the remainder when l is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123 - 21102?\nAnswer: -20868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*k - 50368 = -461*k - 1578*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 180 = -6*h - 8*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35427.\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/25136 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110679051 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089961 is divided by 45413.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose -a - 5*v = 5, -3*a - 3*v + 0*v + 33 = s. What is the remainder when 28 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14)\/(-4) + 2 + (-3390245)\/(-206)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*z + 25, -5*j + 3*j - 2*z = -14. Let q(a) = -56*a + 56*a + 9*a**j + a**3. Calculate q(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 1, y: 2, p: 2, n: 12, d: 2}. Give prob of sequence hpdd.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 27 - 1 = -p, -2*p - 2*u = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 113*l**2 - 63*l**2 - 24*l + 28 - 54*l**2 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*b**3 - 11*b**4 - 71*b**3 - 19*b**4 + 40*b**4 - 389 - 12*b**4 wrt b?\nAnswer: -8*b**3 - 438*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 161*w**5\/15 - 193*w**4\/12 + 28*w**3\/9 + 2*w**2\/3 - 63. Solve k(o) = 0.\nAnswer: -2\/23, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.2 (c) -107 (d) 2 (e) 33 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:27 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 3*v)*(v - v - 2*v**2) - v**3 + v**3 - 3*v**3 - 4*v**3 + 0*v**2 + 0*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 49\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298.669 - 298. Let y = -0.009 + l. Let s = y - 0.6599927. What is s rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5866080*x - 34340. Let f(h) = 1025*h - 6. Let l(g) = 34340*f(g) - 6*n(g). Let q(k) = k. Calculate l(q(m)).\nAnswer: 2020*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -30*c**4 - 2*c**3 - 2*c**2 + 26. Let b(f) = f**4 + f**3 + f**2. Let r be 3\/(-3 - (1 - 1)). Let t(m) = r*u(m) - 2*b(m). Differentiate t(i) wrt i.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087519619 to six dps.\nAnswer: -0.000875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((130\/450)\/13)\/((-2)\/(-12)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 72*l**2 + 718*l - 18. Give i(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6239 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/12 - o**2. Let i(d) = -6*d**2 + d**2 + 0*d**2 - 3*d**2. Calculate c(i(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 224*m + 45918. Give w(-205).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*y + 6803 - 321 = 0, 3*x = -2*y + 3886. What is the least common multiple of 590 and x?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 - 7*o + 2. Let p be r(7). Does 14 divide ((-156)\/9)\/(p\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 32 - 17 = -3*j, 47 = 4*j + 3*d. Let w be (j\/((-32)\/6))\/(-6). Put -2, -3, 0.1, w in ascending order.\nAnswer: -3, -2, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 24. Let i = f - 1. Which is the closest to 0? (a) -4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 10*l - 10. Let f be a(-6). Let n(x) = 13*x**2 - 12*x - 4. Let t(m) = 3*m**2 - 3*m - 1. What is f*n(c) - 9*t(c)?\nAnswer: -c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(68)*-2 - (((sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*3)))*1 - sqrt(68)) + sqrt(68)))\/(sqrt(8)\/sqrt(2)*1 - -4*sqrt(64)).\nAnswer: -14*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 + 371384503?\nAnswer: 371384054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -39 + 18 - 8*s + 21. Let x(c) = -57*c. Calculate x(w(z)).\nAnswer: 456*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 4*m. Suppose -4*f = -0 - 12. Let k be w(f). Let s be 1\/(15\/10 + -1). Solve -g - 13 = 4*t - s*t, -k*t - 12 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 20, 23, 6, -37?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35859085 - -14558754155\/406. Let j = 24\/203 + t. Let w = -86 - j. Which is the third biggest value? (a) w (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 + 18 = 0. Let u(s) = 2*s**2 - 9*s + 7. Let n be u(5). Suppose 5*r = 6*r - n. What is the highest common divisor of r and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k**1\/k))\/k))**43 assuming k is positive.\nAnswer: k**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-8) - (-2 + -2))*5. Solve 0*q = q + n*x + 12, q + 3*x = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -189, 18 in decreasing order.\nAnswer: 18, -33, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and 9137.\nAnswer: 1005070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, n: 3, f: 1}. Give prob of picking 2 h and 1 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -350556?\nAnswer: -350566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.734 take away -4732835414?\nAnswer: 4732835414.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose l = m - 0 - 4. Suppose 10*u - 32*u + 44 = 0. Solve -m = -2*p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15999994*p**2 - 2*p + 7. Let j(t) = 15999995*t**2 + t - 6. Let s(u) = 5*j(u) + 4*l(u). Let f be s(-1). Round f to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129561 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -371271237 greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*y)*(0*y + 25 - y - 27)*(-2*y**2 - y**2 + 10*y**2).\nAnswer: -21*y**4 - 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/81*3\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 18a0?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -22*t - 109. What is j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*g - 6*g**2 + 3*g**3 + 2*g**2 + 4*g**2 - 60 - 3*g**2.\nAnswer: 3*g**3 - 3*g**2 + 329*g - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4218*f*t**2 + 178*t**2 + 4*t wrt f?\nAnswer: 4218*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1964, 1965, 1966?\n\"Answer: y + 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23232.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 12*n + 5. List the prime factors of j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31678*d - 1 + 31680*d + 1.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q = -51*q - 154 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 242.\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -139. Solve 0 = -2*m - l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 8*t + 10. Let x(o) = 3*o**2 + 3*o + 1. Let f be x(-2). Let g be h(f). What is the first derivative of -3*d**2 + 3*d**2 + 2 + 2*d**g wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8935, 17982, 27035, 36100, 45183, 54290, 63427?\nAnswer: 72600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((19152\/(-240))\/57)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 56.3. Let c = o - 55.999957. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*d = -2*m + 241*d + 1, m + 16 = 6*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 2\/3*p**2 + 8\/3*p.\nAnswer: -2*(p - 3)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 121924\/(-1716) + 36\/2\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 not equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 339 + 201 + 430 = 242 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/6)*u*u*u*u*u)\/u)**(7\/4) assuming u is positive.\nAnswer: u**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 - 16 = -3*j, -4*j = 2*g - 38. Is 6 + j + -9 + -1 + 5403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/5 + 209*d**3\/5 + 2954*d**2\/5 - 15096*d\/5 = 0 for d.\nAnswer: -17, 0, 4, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103779 - 37*d**3 + 103779.\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4) + (-1)\/2. Let h be (-20)\/(-4 - 0)*-1. Sort h, 5, d in increasing order.\nAnswer: h, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*(-80)\/96?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 3*s. Let a(p) = -4*p + 2*p + 0*p - 154 + 128. Let n be a(-13). Suppose -3*x + 3*y - 9 = n, -3*x + 2*y + 3*y = 9. Calculate v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3582, 3580, 3578, 3576, 3574?\n\"Answer: -2*r + 3584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 5*q - 1. Let i be z(2). Let y = i - -17. Solve v = 2*o - 10, 2*o - 20 = -y*o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0178 - -0.09.\nAnswer: 0.1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/56 - ((-11)\/(-3) - (-15936)\/(-4032))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/12 - 10*a**2. Let i(c) = -19*c. Determine i(x(t)).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (553*r + 1 + 77*r + 74*r)*(2*r**2 - 5 + 5).\nAnswer: 1408*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189115 is divided by 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 7, -2\/7, -222, 22, -0.4, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**4 - 29*a**3*z + 32142*a**3 + 22*a**2 + 3*a*z + 109*a + 2*z - 416 wrt a.\nAnswer: -192*a - 174*z + 192852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v - 349523*v**2 + 0*v + 349521*v**2. Let t(o) = -35*o**2. Calculate t(r(n)).\nAnswer: -140*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158408, -158421, -158434, -158447, -158460?\nAnswer: -158473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h - 6. Let g be k(-8). Let n be (7 + 1)\/(4\/18). Is 5\/(1 + n\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = 3*c, -8 = -c - 6*a + 3*a. Suppose c*t - 479 = 13*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 36 = -6*f. Let b(t) = -t**2 + 14*t - 17. Let u be b(f). Suppose 35 = 5*r - h, r + u = h + 2*h. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/30)\/((-8)\/10). Let x be (-1 + 0)*(1 - 1). Let r = 13 - 18. Which is the nearest to x? (a) r (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from ttdtkttdtdtk?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 9*y + 492. Let k(j) = -47*j**2 + 320*j + 12. Let t(f) = 23*f**2 - 160*f - 7. Let b(h) = y*t(h) + 3*k(h). Find the second derivative of b(d) wrt d.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 12 = 360 + 612 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/555451 + -274136429\/555451. Let f = -494 - n. Put f, 3, -2\/5, 0 in decreasing order.\nAnswer: 3, 0, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -42.27. Do p and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 176247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3461555 (base 7) to base 12\nAnswer: 18ba35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -11*q**6\/15 - 23*q**3\/6 + 7*q. Find the second derivative of s(v) wrt v.\nAnswer: -264*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1011714 and -1.7.\nAnswer: 1719913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 4, x: 3, e: 2}. Give prob of sequence aex.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Let n(j) = -j - 2. Let k(p) = n(p) - 3*w(p). Let y(z) = z. Let h(f) = -16*f - 14. Let g(m) = -h(m) - 5*y(m). Give -3*g(o) - 8*k(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (3 - (0 + 0)). Let x(q) = 39*q**3 - 5*q. List the prime factors of x(u).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(54)\/sqrt(3))\/(sqrt(243) + 1*sqrt(243)))\/((sqrt(3) - ((sqrt(108) - -2*sqrt(108)) + sqrt(3))) + (sqrt(18)\/sqrt(6)*-5 - sqrt(3))).\nAnswer: -sqrt(2)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2135503 - 3353838. Let z = 843335 + v. Round z to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*w + 1659. Let j = -2232 + 2312. What is the remainder when w is divided by j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m + 77 = 36*m - 49*m - 15*m. Let p = -0.02 + 0. Which is the nearest to 0.8? (a) 0.1 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.85193 milliseconds to seconds.\nAnswer: 0.03085193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 80 = -3*m. Let k = m + 22. Suppose 9 = k*h + 1. Solve -2*w = h*l + 17 - 1, 5*l - 5*w + 35 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - ((-45)\/18)\/((-2)\/(-12)). What is the highest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5 - 21*m**4 - 27*m**3 + 21*m**2 + 30*m = 0.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(3\/(-2)). Is f\/(0 - 3\/(-63)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 308642.71 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4183 + 31488. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 2. Suppose 73*x - 91*x = -756. Let b = x - s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 0 (b) -0.3 (c) -1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1372320 and 22\/2523?\nAnswer: 1154121120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22886746 is divided by 146?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/2 - q**2 + q\/2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10*u)\/(u**(-4\/3)*u))**(-1)\/((u\/u**8*u**9)\/(u**1\/u)**(1\/41)) assuming u is positive.\nAnswer: u**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 140, 22\/641, -1?\nAnswer: 22\/641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:25 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y + 4*g = -51*y + 56, -176*g = -177*g + 20 - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*m + 80, -m = -3*m - z + 72. Let v = 151\/4 - m. Which is the second biggest value? (a) -0.06 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 5*x - 4. Let b = 16 + -13. Suppose 2*l + b*k = -131, -3*k = -4*l - 6*k - 271. Let d = l - -73. Give y(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - j + 3. Let q be a(0). Suppose -q*l - p + 32264 = 0, 5*l - 49345 - 4415 = p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1074?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1731*z**4\/4 - 403*z**2\/2 - 2*z + 2581. What is the second derivative of o(l) wrt l?\nAnswer: 10386*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -4*j**3\/3 + 1. Let c(y) = 2*y**2 + 5*y - 5. Let m(t) = -t**2 - 4*t + 4. Let p(z) = -4*c(z) - 5*m(z). Determine p(h(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Let a be y(-5). Let i = -2\/85 - 81\/170. Is i less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/((-5289)\/43))\/4\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1377) + sqrt(1377) + -1)**2*2.\nAnswer: 144*sqrt(17) + 11024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10181244 divided by -6?\nAnswer: -1696874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 4. Let d(k) = -k - 6. Let t(c) = -1. Let b(i) = -d(i) + 3*t(i). Let a be b(0). What is the units digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16*4\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -408.7, 3, 2\/9 in decreasing order.\nAnswer: 3, 2\/9, -408.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)*u)**(-21) assuming u is positive.\nAnswer: u**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/59 (b) 22.7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, 19, 52?\n\"Answer: 33*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 + 326 - 1058 = 103*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 13. Calculate the lowest common multiple of 18 and t(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 266\/(-5)*(7 + -10 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3*o**2 - 3*o**2 + (-2*o + 2*o + 2*o)*(4 - 4 + 3*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 32043*s + 64098.\nAnswer: -3*(s - 10683)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/21 + (-446)\/3. Let n = 150 + v. Is -37 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-102)\/13 + 1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - 32*i**3\/3 + 74*i**2 + 544*i\/3 + 289\/3.\nAnswer: (i - 17)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 not equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from nnhmlmmmhhhznhh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11281*i + 11350*i = 256473. Calculate the highest common factor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(32) - -6*(sqrt(13)*-1 - sqrt(13)))**2.\nAnswer: 28717\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7740833 less than 7740829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-121318)\/4)\/(161\/(-1610)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2\/129 (c) 20 (d) -854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 221 + 133*z.\nAnswer: 133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 16. Let v be o(16). Suppose -v*h = -15*h - 5. Solve 0 = -x - 5*c + 22, -h*x = -6*c + c + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3605 (base 11) to base 9\nAnswer: 6428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 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 i be (-4 - 3) + (-2 - -14). Suppose -i*w - 20 = -4*g, -3*g - w + 12 = 16. What is the nearest to 0.09 in g, 2, 5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132984 by -24.\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*h - 28*h**3 - 4*h**3 + 31*h - 66*h to the form x*h + i*h**3 + y*h**2 + t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g. Let m(n) = 4*n - 15*n + 3*n. Calculate m(z(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*1\/(-15)*3. Let q be (-1 + (2 - w))\/1. Suppose -f = -q*f. Solve 3*s + 3 - 6 = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 117*c + 27*c + 38*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/4 - -2. Let h = 2 + 15. Let n = -16 + h. Is n < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 22 + 15 + 1 + (4 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 8*p\/3 - 8.\nAnswer: -2*(p + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95.836 - 0.164. Let u = 40 + l. Let i = u - -79. Is 1 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8099*i = 199371 - 77886 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*r - 25618 - 13982 = 0, -4*h - 3*r + 31680 = 0. Suppose -14*i = 2*i - h. List the prime factors of i.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22763265709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 6*k**2 - 1. Let j be n(6). Let i = -256 + 257. Let a(h) = -2*h**2 + 3*h - 1. Let o be a(i). Put -4, o, j in descending order.\nAnswer: o, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 57 = 0. Let u(v) = -19 + v + y. Let t(o) be the first derivative of o**2 - 3. Give t(u(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 plus -895666500264?\nAnswer: -895666500261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 29*t**2 + 44*t = 0. Calculate t.\nAnswer: -4\/3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 16. Let a be j(5). Solve -5*z + 4 - 2 = -a*k, k = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106429?\nAnswer: 71, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - r - 21, -4*g + 25 + 5 = 2*r. Let n be 1 + (-15)\/g + 368\/12. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -11\/3. Let x = -2.8 + 3. Which is the third biggest value? (a) d (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -2\/23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 9*w**2 - 6*w - 1. Let x be 10\/(1\/(-2) - -1). Let b = -29 + x. Is h(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -38, -0.47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5287.9 times 178\nAnswer: -941246.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 7245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4031506.\nAnswer: 2, 2015753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 10*p**2 + 2*p - 17. Let l be y(10). Suppose 3*j = 3*f + 3, 0*j = f + l*j - 7. Solve -4*h + 3 = -f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa1d (base 15) in base 7?\nAnswer: -210016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 7. Let v be q(6). Suppose -v - 1 = -2*c. Suppose 0 = -5*t + 89 + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*z**3 - 3825*z**2 + 18645*z - 21175.\nAnswer: -5*(z + 35)*(5*z - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 51. Let g be a(7). Let n(z) = -z + 4. Give n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:35 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -55*o**2 - 12*o - 23. Let n(i) = 109*i**2 + 24*i + 38. Determine -3*n(k) - 5*r(k).\nAnswer: -52*k**2 - 12*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 3*j)*(6 + 0 - 3) + (3 + 3 - 5)*(j - 2 + 2) - 5 + 2*j + 5.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0377, -0.01, 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 544\/383 + -3969\/3064. Find m, given that -r*m**3 + 7\/8*m**2 + 1 - 7\/4*m = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409368?\nAnswer: 2, 17, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -1247, -3018, -5507, -8720?\nAnswer: -12663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a factor of 217677358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-422 - 435 - 201*u + 1224 - 352)*(0*u**2 - u**2 - u**2) to o*u**2 + l*u**3 + m + d*u and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 18 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*u**4 + 2053*r*u**3 + 5853*r + 3 with respect to u.\nAnswer: -8*r*u**3 + 6159*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {c: 1, r: 1, b: 1, s: 2, m: 1, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -16*z + 163. What are the prime factors of z?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 28 = -5*j, -5*b - 2*j + 14 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1789, 3577, 5369, 7159, 8941, 10709?\n\"Answer: -u**3 + 8*u**2 + 1771*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 6*x - 74138017*x**2 + 74137935*x**2.\nAnswer: -82*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elrwerllrerr. Give prob of sequence erl.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1102 + 1266. What is the remainder when x is divided by 70?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -519*a - 80. Suppose -3*v + 5*v = -5*c - 81, 83 = -5*c - v. Is i(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/(9*6\/594).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-2 + 2 + 8). Let j = a - -17. Which is bigger: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7796.09299974 + -7796.223. Let a = -0.12 + 0.25. Let h = v + a. Round h to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)\/(i*i**(-13)*i*i))**40 assuming i is positive.\nAnswer: i**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18*17\/(-16830))\/(4 - (-4)\/((-120)\/129))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/30)\/((-70)\/(-700))*42\/28.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-2*-5*-5)\/((-1*sqrt(121)*1)\/sqrt(11)).\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1242565 by 1373.\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = 4*b, -5*b + 0*i + i + 11 = 0. Solve 10 - 25 = b*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let m be -1 - (123\/12)\/(i\/17). Let t = -86 + m. Which is the second biggest value? (a) t (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/3 + 10*a**3\/3 - 2308*a**2. Let v = 9 + -18. What is the tens digit of g(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321 + 321.4. Which is the closest to 1? (a) 3 (b) 1\/6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 40. Let a = 38 + b. Let c be (-30)\/(-18) + 6 + (-4616)\/(-24). What is the greatest common divisor of a and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 4*v + 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -591054.52 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**3\/5 + 210*d**2 + 36750*d - 6749. Factor w(c).\nAnswer: 6*(c + 175)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**3 - 26*l**3 + 5*l**3 - 32*l**3 + 897*l**2 + 5359*l**4 - 5358*l**4 wrt l?\nAnswer: 24*l - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2317 (base 8) to base 13\nAnswer: -739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:20 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 11. Suppose -2*i = -m - 28. Suppose 2*c - 7*c + i = 0. Let v(l) = -l. What is v(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*g + 41*g + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/8112887 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/2989 and 18\/287.\nAnswer: 122549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6549 - 6550. What is the closest to -2 in -2, a, 1, -54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1007190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 6. Let o(c) = 1. Let h(t) = -14*t - 20. Let k(q) = h(q) + 3*o(q). Let j(y) = -17*a(y) + 6*k(y). Let p(u) = -16*u. What is j(p(s))?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:42 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u - 14259 + 14350 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3794?\nAnswer: 37940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2968)\/(-212) + 32\/(-3). Solve -m**2 - 1 + i*m = 0 for m.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2469 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from agcgaccpea?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 7686120. Suppose v = -5*f + 4787224. Round f to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -1 + 9 + -1 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 4*s + 4. Suppose 2*u = -0*u + 4*l - 26, 5*l - 40 = 5*u. Let f be c(u). Solve 1 = o + 2*t, 4*o - 4*t = 3*o + f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -324199426 to the nearest 1000000.\nAnswer: -324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5273*k + 5284*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82645 + 41321 - 155*o + 41326 to the form n + r*o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 115 (b) 2\/7 (c) 2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g + 2361 = -576*g - 13279 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f + 4*j + 77, -5*f = -4*j + 139. Let n be f\/(-6)*(-36)\/(-54). Solve 4*z - n*z - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 2*r**3 + 13*r**4 - 12*r**4 - 9*r**3 + 2*r as w*r**3 + u*r + t*r**4 + a*r**2 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) - -6 - (-15)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130411\/7524 - -5\/7524. Let 2\/3*p**2 + 18*p + w = 0. Calculate p.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2*w + 0)*(0 + 2 - 3) + (1 - 1 + 1)*(2*w + 0*w + 0*w) + 0 + 0 + 2*w)*(-61 + 101 - 69) to t*w + s and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (56660\/59493)\/((-14)\/9 - 4\/(-18))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-2)\/(-20))\/((-7)\/(-420)*-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u + 239 = -449 - 1226 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -12311*r**6\/6 + 69*r**2\/2 + 11*r + 8086. Find the second derivative of l(c) wrt c.\nAnswer: -246220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125188 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Which is the third smallest value? (a) p (b) -5 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**4 + 554 + 2*u - u + 9*u - 3*u + 2*u**2 - 551 in the form t + d*u**3 + i*u**4 + q*u + k*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 15. Let u be o(-8). Let d = u - -24. What is the remainder when d is divided by (-130)\/(-14) - 6\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 17, i: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from kgkbbkykckpkkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-36)\/126)\/((-8)\/(-42)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-7 - 180\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxhhxxxxxx. Give prob of sequence hx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293075 and 25?\nAnswer: 293075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-3)*t**(-1)*t*t**(4\/5)\/t*t**(-1\/3)\/t*((t*t**(-1\/4))\/t)**(-5\/6)\/(((t\/t**1*t*t)\/t)\/(t*t\/(t*t\/(t*t**3)*t))) assuming t is positive.\nAnswer: t**(-13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 2*j - 4. Let z be k(-3). Let u = z - 4. What is the hundreds digit of (-3 - (-430)\/u) + 15\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*m = -4, -k = 4*k + 2*m - 64. Suppose -f = 35 - 0. Let a = -30 - f. Calculate the remainder when k is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 2*y + 4. Let j(m) = -4*m**2 - 3*m - 6. Let w(h) = 2*j(h) + 3*p(h). Let a(g) = 8*g + 9. What is w(a(u))?\nAnswer: 64*u**2 + 144*u + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0*g**3 - 95\/56*g**8 + 0*g**7 + 6*g**2 + 0*g**6 + 1\/6*g**4 + 0*g**5 + 10 + 2*g. What is the third derivative of i(c) wrt c?\nAnswer: -11400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150990942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s = -16*s - 108. Solve 4*r + 4 = s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1491808, -1491770, -1491732?\n\"Answer: 38*y - 1491846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7100*l = 7138*l + 1178 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36159 + -36162.9582. Let o = 0.0418 - k. Let t = 8 + -11. What is the fourth biggest value in t, 18, o, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 6. Let k(p) = -2*p**2 + 4*p + 4. Let o be k(4). Let u be z(o). Is ((-12)\/8)\/((-3)\/u) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/728 and 43\/280.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 23649 + 113442. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -922870 or -922864?\nAnswer: -922870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84677 + 33*d + 42030 + 42357)*(1 + 0 + 0).\nAnswer: 33*d - 290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 12 = 3*b, y + 1 = 4*b. Suppose -2*u + y = -5. What is the remainder when 23 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 63*t**2 - 67*t - 278. Let q be h(-62). Calculate the highest common divisor of 976 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + c + 3, 2*c + 27 = s + 7*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + 118*q - 1616. Determine g(9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601931?\nAnswer: 2601931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 4*v + 3*k = 12*v - 5*v - 63, 3*v - 62 = 2*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 44121 = -20463. Suppose j = 5*w - 3*q, 3*w = 38*q - 34*q + 1608. Is 60 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:59 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -0.3 (c) 107808 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*c - 144643 + 550257. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -5\/2*q**2 - 1 - 8*q + 1\/3*q**3. Let j(l) = -l + 3. Give -2*i(h) - 5*j(h).\nAnswer: h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2)\/(-5) + (-19)\/(-76). What is the third biggest value in 0.7, l, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 40. Suppose 0 = 2*u - x + 2. Let z be (-4)\/((-44)\/(-20) - u). Solve 10*p - 15 = z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(55)\/(sqrt(11) + sqrt(176))))\/(sqrt(63)\/(sqrt(9) + sqrt(108)\/(3*sqrt(12)) - sqrt(9))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.69, 2\/17, 2, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2180*j - 1 - 1943*j - 2140*j - 7969*j)*(-2 + 0 + 3) to the form f*j + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 2*x + 1. Let y be d(1). Let p be (3\/y - -1)*8. Suppose -p*u = 3*k - 44 - 17, 0 = -4*k + 5*u + 71. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060034 rounded to six dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -8*b**6\/15 + 95*b**3\/3 - 16*b - 5. What is the second derivative of n(g) wrt g?\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 12*g - 4 = -16*g, -a - 3*g + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 2. Let d(m) = -2*m**3 - 2*m**2 - 2*m - 4. Let y be d(-2). Suppose 0 = -3*z - z - y. Determine s(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(8\/2 - 3). Solve c*t - 2 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41420123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 26 + 41 = -g, -2*q - 2*g - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/((-14685)\/(-10164)) + 49?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 32. Let z be i(-28). Let q = -13 + 13.2. Which is the third biggest value? (a) z (b) 2 (c) -1\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18040398989*m**2 - 18040398989*m**2 + 17*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*q - 10*q**3 + 848*q.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 664 + 2*u**3 + 661 + 39*u**4 - u**2 as i*u**4 + p*u**3 + g + x*u**2 + b*u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20 = -7*u. Let f(w) = 4*w**2 - w. Let q be f(-1). Suppose -d + 24 = -u*y, -3 - 26 = -d + q*y. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h + 2. Let q(u) = 13*u**3 - 3*u**2 + 3*u - 2. Let v(n) = -m(n) + q(n). Let t(c) = 170*c**3 - 51*c**2 + 51*c - 51. Give 4*t(i) - 51*v(i).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -449.2 - -449. What is the third smallest value in p, -0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/228617058 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -45. Let q = -37 - m. Let r = 9 + q. Solve -3*w - r = 3*o + 11, 0 = -4*o - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 8. Let c be (2\/(-4))\/(z\/(-752)). Let p = c + -26. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -323964991983 and 0.1.\nAnswer: -323964991982.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/64)\/((-480)\/288)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let t(y) = 6*y**2 + 69*y**2 - 31*y**2 - 14*y**2. Give b(t(d)).\nAnswer: -900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 70*h = 280. Solve 14*w - h = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1689973*-3.\nAnswer: -5069919","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - u**2 + 2*u**2 - 3 + u**2 - 2*u**2 + 2*u**2 + (-3 - 4 + 2)*(3 - 3 + u**2) as s*u + p*u**2 + i and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -192 * 39.84\nAnswer: -7649.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41406956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10204, -20394, -30584?\n\"Answer: -10190*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1146 and 1218236964.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109700 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 957456 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34314248*-1.\nAnswer: -34314248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ixxtiiiiiiiiviiii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38639.6l?\nAnswer: 38639600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 10 = 2725*m - 2722*m, 15 = -3*m + 3*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -718669*l + 31621434. Give o(44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 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: Let l(c) = c**2 - 15*c - 53501 + 5*c + 53517. Let y be (-6)\/9*18\/(-1). Does 10 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + z - 97. Let s be i(9). What is the second derivative of 58*d - 6*d**5 + 12*d**4 + 210*d + s*d + 3*d**4 - 117*d wrt d?\nAnswer: -120*d**3 + 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (304\/114)\/((-40)\/(-354390))?\nAnswer: 2, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2244 and 0.013.\nAnswer: 29.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5\/3, 1, 955, 0.4, -49?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 13*x + 19. Let j(v) = 3*v**2 - 14*v - 20. Let c(l) = -5*j(l) - 6*n(l). Is c(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341a86 (base 15) to base 16.\nAnswer: 25f068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 162. Let z(c) be the second derivative of c**4\/6 + 9*c + 473. Determine u(z(j)).\nAnswer: 10*j**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 1. Let w be h(1). Let l(y) = -2 + 4 - 4 - 4*y + 2*y. Calculate l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27140 and 208620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 11097650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let u = -83 + 93. Let p(l) = -2*l**2 + 19*l + 10. Let d be p(u). Which is the nearest to h? (a) -0.4 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 6. What is the closest to 0 in g, 5, -7\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4174946732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/102 and -65\/22.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 59, -39, -177, -355, -573, -831?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001010001011001000 (base 2) to base 7.\nAnswer: -31431114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 - (4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-11 + (9 - (10 - -4)) - -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(891)*-5 + 4 + 2*sqrt(891) + (-2 + sqrt(891)*-1 - sqrt(891)) + 5)**2.\nAnswer: 630*sqrt(11) + 22324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6497*x - 6490*x - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.82 - 0.18. Let f be (-16)\/(-15) + (-4)\/10. Let a = -83.14 - -82.94. What is the closest to f in a, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.088 + -29.9. Let b = -1.1 + u. Round b to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 0.3. Let o = 1 + n. Which is the smallest value? (a) o (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214\/108351 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 23*l. Let b(c) = -17*c**2 + 26*c - 26. Let h(s) = -45*s**2 + 70*s - 70. Let o(r) = -35*b(r) + 13*h(r). Determine o(f(x)).\nAnswer: 5290*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -569254 and -569342 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 21*d - 5. Let m be t(-19). What is the greatest common divisor of 209 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34752, -34847, -34964, -35115, -35312?\nAnswer: -35567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 + 2*n + 0. Let b(o) = 12*o + 5. Let p(k) = 4*k + 5. Let t be p(-2). Let y(f) = -7*f - 3. Let x(r) = t*b(r) - 5*y(r). Give s(x(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17141 is divided by 1691?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20396\/(-6))\/(38\/(-57)).\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -4, 256, 1\/5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13331 greater than or equal to -13335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 28. Let o = -0.2 - -0.1. Sort -5, o, w in decreasing order.\nAnswer: o, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.4993 grams in milligrams?\nAnswer: 372499.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 1515*i**2 + 2301273*i\/2 - 4578338.\nAnswer: (i - 1513)**2*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 6. Suppose 4*n = 8 - 24. What are the prime factors of u(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(6 - 4). Suppose -2*a + 3*a - 19 = g. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.82 - -1.28. Let w = 2783.038 - 2776. Let r = j - w. Round r to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*l - 3 = 11, 4*l - 20 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 13*a - 10. Let x be w(12). Let i(s) be the third derivative of x*s**2 + 0 - 1\/3*s**4 + 1\/6*s**3 + 0*s. Determine i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from tppogjjtooppgopjot.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626633, 1253270, 1879907, 2506544, 3133181, 3759818?\nAnswer: 4386455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -31, 52, 3, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/40*((-29)\/29)\/(7\/(-14)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 307*r**2 + 961*r + 3. Let g(c) = 7*c**3 + 920*c**2 - 2883*c - 8. Let j(f) = 3*g(f) + 8*k(f). What is the second derivative of j(u) wrt u?\nAnswer: -18*u + 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 18*u**5\/5 - 15*u**2\/2 + 24. Find the second derivative of r(j) wrt j.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y + 20*y - 26*y - 202*y.\nAnswer: -151*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*q + 4*g, 28*g = -3*q + 29*g + 27. Solve 15*i = 13*i - q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 459 = 51*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 13*c**2 + 4*c + 2*c**2.\nAnswer: -10*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, 12, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*(sqrt(1872) + 2) - sqrt(1872)) + sqrt(1872))**2.\nAnswer: 1728*sqrt(13) + 67536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542, 761, 986, 1217, 1454, 1697?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r + 0*r + 1 + r**2. Let c(x) be the second derivative of -x**4\/4 - x**2 - x. Let f be (1 - (6 - 6))*(0 - -1). Determine f*c(u) + 2*w(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 891480 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*t - 4 + 14*t)*(-4*t + 0*t - 3*t).\nAnswer: -77*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -27*w**2 - 7*w - 9. Let g(p) = 14*p**2 + 4*p + 5. What is -4*f(y) - 7*g(y)?\nAnswer: 10*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-551958)\/30636 - (-54 + 36) and -151\/666.\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.86? (a) 1\/19 (b) 3 (c) 20 (d) 1 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429 and 117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000092319 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(4\/7))*p*(p*p**(1\/3))\/p)**(-37)\/((p*p\/(p*p**(-1\/2))*p)**(1\/85))**24 assuming p is positive.\nAnswer: p**(-25412\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66238, 63773, 61308?\n\"Answer: -2465*z + 68703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 346 + 124 = -2*p, -219 = -2*p + w. Let d = p + -970\/9. Suppose -c - 2*f = -2 + 1, -2*c - f + 2 = 0. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -58. Is ((-376)\/k)\/(48\/(-168)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2965, 5985, 9005, 12025?\n\"Answer: 3020*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 + -15) - 0) + (1181 - 576 - 612)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457712 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4650.968 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kknn when four letters picked without replacement from knkkknkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/616*-91)\/((-1)\/4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 8*h - 59. Let x be i(5). Let f be (-18)\/5*(16\/x + -4). Factor -32\/5*l**2 - f*l - 4\/5.\nAnswer: -4*(2*l + 1)*(4*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/7 - 11050*b**3\/7 - 110678*b**2\/7 - 121910*b\/7 + 110700 = 0.\nAnswer: -7, -5, 2, 5535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-69)\/(-21) - 4\/14. Let j = -4 + 9. What is the first derivative of -c + 2*o + o - j*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/18 - (-14 - (-15966)\/(-162)). Solve -215\/2*i - 85\/2*i**3 - z*i**2 - 5\/2*i**4 - 35 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, 44, 191, 408, 701, 1076, 1539, 2096?\n\"Answer: i**3 + 26*i**2 - 2*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 + 482. Suppose -376 = -l*j + 389. Calculate the highest common factor of 969 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 - 13*v + 4. Let l be ((-12)\/(-28) - 51\/21) + 7. What is n(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-54) + (-20)\/(-3). Let a(n) = -n**3 + 9*n**2 - 6*n + 3. What is the tens digit of a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229572852.\nAnswer: 2, 3, 19131071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100752265415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 2, -15, 3, 5 in ascending order.\nAnswer: -15, 2, 3, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/6)*f*f)\/((f\/(f*f\/(f**3\/f)))\/f))\/(f**(-2)\/f**1)*(f\/(f*f**(2\/15))*f*f**4)**(1\/34) assuming f is positive.\nAnswer: f**(508\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 14 = -14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 11*d + 8. Suppose 2*x - d*q - 54 = 0, 6*x = 2*x - 4*q + 84. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*k - 136*k + 550. Suppose 4*m = -4*r + 28, -5*r - 2*m + 38 = 2*m. Suppose 0 = 4*l - r - 6. Calculate the least common multiple of k and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.92322kg to milligrams.\nAnswer: 73923220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vqgqvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = -13*v + 350. Let u be 1 - 3 - (-227 - 3). Suppose u = v*f - 5*f. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3277*s**2 - 5*s + 2. Let a = 0 + 4. Suppose -3*o - r = -13, 5*o - a*r - 41 = 9. Let u be t(o). Round u to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from vvvwwwwvwwwvwwwwwwww?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.0215 - 0.0215. What is the biggest value in 7, s, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-801)\/(-165)*(-11231)\/(-8316). Let k = -1\/1540 + w. What is the common denominator of -24\/227 and k?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, -0.4, 22\/51, 0.4, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, 67 = 4*v - 4*p - p. Calculate the greatest common divisor of 1859 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 - 2 = 0. Suppose 14 = 5*o - h. Suppose 130006 = -d - o*w, w - 259998 = 2*d - 0*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7624.941 months?\nAnswer: 63.541175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122223020 (base 4) in base 14?\nAnswer: 2bb60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 4108*l + 28952.\nAnswer: -4*(l - 7)*(l + 1034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*l + 13. Let i = 25 + l. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdi when three letters picked without replacement from drcixxrixdrrgxrxrci.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4053622 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9855 divided by -3285.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*v + 348 + 1\/2*v**2.\nAnswer: (v + 2)*(v + 348)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, h: 1, y: 12}. What is prob of picking 2 u and 1 y?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/2? (a) 3 (b) -3\/8 (c) 0.62 (d) 0.4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45154 is divided by 961.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 13*i + 10. Determine b(-8).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 10*n + 28. Is 14 a factor of u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (17 + -16)) + 1 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 959745 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 165. Is k a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -41.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324167858?\nAnswer: 2, 7, 29, 798443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (221374\/(-4))\/(1\/(-1258)). Suppose 5*z + l = 470122123. Round z to the nearest one million.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -1.1. Suppose -g - 35 + 197 = -4*t, -4*g = 8. Let i = 163\/4 + t. Is o <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -17*o**3 + 24*o**2 + 122*o + 191. Calculate t(-6).\nAnswer: 3995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(117) + (-1*sqrt(117)*1 - sqrt(117)) + sqrt(117))*1)\/(sqrt(324) - (sqrt(324) + -4*sqrt(324)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/17)\/(o\/o**(-6))*(o**(1\/3))**(-4\/23) assuming o is positive.\nAnswer: o**(-8417\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.5 + 29.44. Let f = h + 8. Let m = f - -0.26. What is the biggest value in 0, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3 + 4. Let w be 296\/p - 4\/14. What is the units digit of (-4)\/(-6)*w\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1*(-3)\/6 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 6*x + 8. Let y be v(-6). Let f be 12\/(-16) - (-30)\/y. Put f, -1, -4 in ascending order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 20 - 7 = 0. Let l(p) = m*p + 4*p + 2*p. Let c(h) = 10*h - 770. Let j(r) = 2*r - 165. Let k(u) = -3*c(u) + 14*j(u). Calculate l(k(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 6465\/10)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpbbppbbbppbb. Give prob of sequence bb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (801\/(-135) + 6)*1?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115060397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -254, -923, -2006, -3503, -5414?\n\"Answer: -207*r**2 - 48*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 7. Let j be ((-24)\/70)\/((-6)\/15)*7. Let a(d) = -3*d - 3. Let m(t) = 2*t. Let c(b) = j*m(b) + 2*a(b). Let r(y) = 6*c(y) - 5*k(y). Give r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145 + -56?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from qqcwwqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511152 + 4?\nAnswer: 511200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 + 4*a**2 + 4*a + 4. Suppose -2*q = 6*q + 32. Let c = -1 + 2. Let w(d) = -d**3 + d**2 + d + 1. Give c*u(i) + q*w(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/145 - 3\/20. Let a(l) be the first derivative of -3\/8*l - 3\/16*l**2 - 24 - 1\/16*l**6 - 3\/40*l**5 + 3\/16*l**4 + v*l**3. Factor a(n).\nAnswer: -3*(n - 1)**2*(n + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4567.9 and -0.1?\nAnswer: 456.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -50. Suppose 0 = -4*r + d*r - 56. Let f(j) = j + 5. Let m be f(3). Calculate the greatest common factor of m and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509 + -23. Let k = n - -532. Solve -4*s = -k*s + 5*q + 25, -5*q + 10 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 3) + -11 + -3 + 0 + 44.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2, 0.160764, 0.9, 0.5, -4?\nAnswer: 0.160764","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 - 9*n + 14. Let k be v(7). Solve 3*h - 4 - 2 = k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/6 - k**3 + 5*k**2. Let b be j(-2). Let l(f) = -f**2 + 6*f**2 - 6*f**2 - 3*f**b. Let h(v) = -8*v**2. What is l(h(s))?\nAnswer: -256*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 155. Let q = 847 - 849. Put m, 3, q in descending order.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 16\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1741 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105725443 times -0.1?\nAnswer: 10572544.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 241 - 97 = -4*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - u = 0, -3*v - 7 = -5*v + 3*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 6 - 27 = 0. Solve -f + 3 = -m - 5, 0 = -s*f + 5*m + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y - 3*y**3 + 4*y**3 + 3 - 3*y - 6*y**2 - 8. Let s be o(5). Suppose s*g + 147 = 4*g - 3*l, g = 3*l + 48. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 22*u**2 - 16*u + 100. Give q(16).\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 + 13544*r**2\/7 + 4507425*r\/7.\nAnswer: -r*(r - 13869)*(r + 325)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345*v + 6*v**5 - 2*v**3 - 52*v**2 + 345*v wrt v.\nAnswer: 360*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:26 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 1. Let w(x) = 4*x - 1. Let a(u) = -4*q(u) - 3*w(u). Calculate the remainder when 73 is divided by a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12909*h - 19532?\nAnswer: 12909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2044 + -2040. Which is the nearest to -1\/4? (a) 2\/3 (b) 0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -2, 4 in descending order.\nAnswer: 4, -2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from aagggaa.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 62.6. Let v = l - 2.6. Which is the second biggest value? (a) v (b) -0.01 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*v**3 - 3 + 7*v**3)*(-7*v - 20*v - 66*v).\nAnswer: -93*v**4 + 186*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2. Let h(n) be the third derivative of 31*n**4\/24 + 225*n**2 - n. Give h(g(x)).\nAnswer: 93*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - (1 - (-4 - 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.4. Let t = 5.08 + 0.22. Let r = -1.3 + t. What is the smallest value in r, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2177 = 15*o + 2279 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 54.1. Let g = k - 0.1. Which is the nearest to 0.1? (a) 0 (b) g (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-4)\/(-1) - (-1505)\/280. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 5, n: 1, p: 2}. What is prob of picking 1 n and 2 y?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 54300000 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**3 + m**2 - m + 1. Suppose -y = -2*y - r + 18, -y + 26 = 5*r. What is the least common multiple of f(1) and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/2 - 19*f**2 + 318*f. Let h be 4\/((-12)\/(-33)) - -2. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66432709487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:12 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89\/90 + 7\/18. What is the second smallest value in -0.7, -0.01, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4.606, -2\/19, -11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 6 + (0 - -8) + (3 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.7, -0.1, -80, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -854 - -856. Let f(g) be the second derivative of 1\/2*g**2 - 1\/4*g**4 - 2*g + 0 + 1\/6*g**3. Give f(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5036482 and 44?\nAnswer: 10072964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 41. Let o = r + 14. Let z be ((-6)\/o)\/((-2)\/(-56)). Which is bigger: z or 20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90719330 to the nearest one hundred thousand.\nAnswer: -90700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/5 - 2388*f**4\/5 - 11986*f**3\/5 - 4836*f**2\/5 + 47912*f\/5 + 57552\/5 = 0 for f.\nAnswer: -3, -2, 2, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(3 - 1 - -23). Suppose 0 = -5*p - 0*p + n. Let l = 11\/5 + -2. Which is the third biggest value? (a) p (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 138, 1.6728 in descending order.\nAnswer: 138, 1.6728, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from meffmoofmeooefew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*f - 173*f**3 - 154*f + 31*f**3 - 148*f.\nAnswer: -142*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 755220 * -14.4\nAnswer: -10875168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 10. What is the common denominator of f\/(80\/14)*-2 and 13\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32258.1 and -9.\nAnswer: 32249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153522*d*f**3 + d - 8*f**3 + 19*f - 164 wrt d?\nAnswer: -153522*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/40)\/(13\/260)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74653 or -74637?\nAnswer: -74637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 take away 21?\nAnswer: -21.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-10 + 3)) + (4 - 26)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57827*w**4 - 2*w + 8474 wrt w?\nAnswer: -693924*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z*z\/(z*z**(-3\/7)))\/((z\/(z**(-1\/10)*z*z)*z)\/(z**0\/z*z)))**(-6\/5) assuming z is positive.\nAnswer: z**(771\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10192 to 3 dps.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m**2 + 2*m + 3. Let k(p) be the first derivative of 23*p**3\/3 - 3*p**2\/2 - 4*p + 592. Calculate 4*j(a) + 3*k(a).\nAnswer: -19*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 4, 3\/2, -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g - 9 + 9. Let v(p) be the first derivative of -5 + g*p + 1\/4*p**4 + 1\/2*p**2 + 2\/3*p**3. Factor v(d).\nAnswer: d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -26 - ((-4056)\/(-117) + 4\/(-6)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 609\/28 + (-2)\/(-8) and (-43)\/(-2) + 9\/(-6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0575 and 2.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.5 + 133. Sort 2, g, -0.16, -0.3.\nAnswer: g, -0.3, -0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 + -282. Let j = b - -50. Is 111 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3339 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43\/12 + 13\/3. Suppose 3*z = g + 5, -3*g + 5*g = -3*z + 17. Let r = z - 1. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-seven fifths of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - 5. Let s be j(0). Let z(w) = -7*w - 13. Let g(n) = 10*n + 19. Let a(r) = s*g(r) - 7*z(r). Let k = -3 + 3. Determine a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a - 116*a + 15*a - 8*a as v + o*a and give o.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 338 + -316. What is the tens digit of -3*(-7 - n) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/9 + d**2 + 10*d\/9 - 56\/3 = 0. Calculate d.\nAnswer: -4, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1991.0000002893 - 1991. What is f rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/110)\/((-9604)\/(-41503)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)\/t**14 assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-10 + (9 - 15) + 25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -17)*(-5)\/5. Suppose 5*v + 27 + b = 0. Let h be 6\/v*15\/(-2). Solve 5*s - 15 = -h*p, -3*p = 3*s + p - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -155\nAnswer: -3\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 + 2 = 2*f, -3 = -3*d. Suppose -k - 2*c = -f*c - 2, 5*c = k + 33. Is (-2)\/k - (-159)\/4 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**6\/3 + 2*y**5\/5 - 2*y**4 - 8*y**3\/3 - 14. Factor i(w).\nAnswer: 2*w**2*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3714572 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3130?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/314089, 2\/7, 2, 3, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4*sqrt(44))\/sqrt(4))**2 + sqrt(11) + -3 + 1 + (sqrt(1331) + 0 + 5)**2.\nAnswer: 111*sqrt(11) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114483 and 267127.\nAnswer: 801381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 290697344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 188142497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167479392?\nAnswer: 2, 3, 83, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/220 and -19\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 98 = -32. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-6)\/(((-21)\/3)\/7))*15.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - 4 - (-15 - (2 + -14)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-2*2\/(-1). Let b be 1 + 3\/(3\/(-2)). Let p be (-1*(-2 + 2))\/b. Solve p*i + i = 4*s + 16, 4*i = 3*s + g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68595139 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 22*q**2 + 121*q. Let i be k(-11). Let i*d - 1\/3*d**4 + 0 + 0*d**2 - 2\/3*d**3 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 138, 309, 640, 1185, 1998?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:20 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = o - 670. Is o at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 0.65?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 655?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74711.38ng to kilograms.\nAnswer: 0.00000007471138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 26 = -4*v, -v - v = -5*b + 18. Factor i**4 - 18*i**2 + 6*i**3 + 24*i**2 + b*i + i**4.\nAnswer: 2*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10187856 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0142*-3.3\nAnswer: -0.04686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -3.04. Let m = -1.4 - -0.4. Let d = j - m. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453991067 plus 281832?\nAnswer: 454272899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.026 and 5420719174.\nAnswer: 5420719174.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -3. Let z = -4 - p. What is the second derivative of -5 + 4 + 1 - z*w - 3*w**3 wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 716*p + 721*p - 713 = 178*n, 7*n + 45 = 3*p for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 140*z - 4309. Let g be q(38). Calculate the greatest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 18826055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 16)*(-1933 + 1933 - 701*m).\nAnswer: -5608*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwaa when four letters picked without replacement from {v: 9, w: 4, a: 6}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745894, 1491801, 2237708, 2983615, 3729522?\nAnswer: 4475429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 3:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 89*r**2 + 91*r**2 + 83*r**2 - 4*r + r - 264*r**2. Determine w(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -116\/21973875 and -6\/1375?\nAnswer: 21973875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3 + 7943*u**2 = 0.\nAnswer: 0, 7943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -20) + 60 + -83?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egzo when four letters picked without replacement from {g: 2, o: 1, z: 2, x: 1, e: 1, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/19 - 16*m\/19 + 30\/19 = 0. Calculate m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248734205, 248734206, 248734209, 248734214, 248734221, 248734230?\nAnswer: 248734241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 75*r - 977. Give m(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -498, 3 in increasing order.\nAnswer: -498, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64944539*j*u**4 - 43843715*j + u**4 with respect to u.\nAnswer: -259778156*j*u**3 + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 6*q**3 + 4*q**3 - q + 3*q**3 to x*q + m*q**3 + n + w*q**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 36. Let g = -13 - p. Solve 12 = n - 5*j - 4, -g*n + 2 = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/8 - a**3\/2 - 15*a**2. Let l be i(-1). Suppose -4*f = -l*f. Solve 4*x + 4 + 4 = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 equal to -8260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 38*h**3 - h**2 + 1. What is the remainder when 73 is divided by v(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (186 - 187)\/(((-2)\/3)\/2). Solve -7*d = i - 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 6}. Give prob of sequence abb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -0.43, -3\/7 in ascending order.\nAnswer: -2, -0.43, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 10*d + 3. Let x(v) = 2*v**2 - 5*v - 2. Determine -3*i(s) - 5*x(s).\nAnswer: -s**2 - 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1047116075*l**5 - 761936839*l.\nAnswer: -20942321500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-1 + (sqrt(12) + sqrt(48))\/sqrt(4).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.116 in -2\/5, -3, 0.2, 5, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 7*x**2 - 8*x - 7. Let s be o(-6). Suppose s*w = 4*w. Solve -3*j - 4 = n + 5, w = 2*n + j + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459578?\nAnswer: 2, 7, 17, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:01 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r - 1. Let q be f(-5). Let v = -457194 + 53492297\/117. Let g = -44\/9 + v. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1939568 or -30?\nAnswer: -1939568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 763.573 to zero decimal places.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5939, 11869, 17799, 23729, 29659?\n\"Answer: 5930*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t - 5*d + 11 = 0, d - 1 = 0. Let c be ((-1)\/t - -1)*(-1 + 4). Find the second derivative of -k + 5*k**4 - 5*k**2 - 9*k**4 + k**4 + c*k**2 wrt k.\nAnswer: -36*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 17. Calculate s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 7*f - 41. Let l be h(-10). Which is the closest to -1\/4? (a) l (b) 7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let o(a) = 2*a**2 - 65*a + 10. Let p(u) = 2*u**2 - 38*u + 6. Let g(z) = -6*o(z) + 10*p(z). Calculate g(r(t)).\nAnswer: 8*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 + 5*z**4 - 37*z**3\/4 + 9*z**2\/2.\nAnswer: -z**2*(z - 18)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let u(f) = -f**3 - 8*f**2 + f + 7. Let c be u(-8). Let k(s) = 2*s**3 + 6*s + 6. Calculate c*k(x) + 6*t(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 40 = -113*h + 108*h, 0 = 2*g + 3*h + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -4*f + 7, 5*f = -5*h + 15. Is (h\/3)\/((-1)\/(-1893)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061879181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y - 3. Let p be q(5). Suppose r - 28 = 5*r. Let x = 8 + r. Solve -3*v - x + p = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 12*c - 169197. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11408 and 201066?\nAnswer: 1608528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 4. Let b(x) = 47*x - 9. Let m(n) = b(n) - 6*j(n). Let g(z) = 9*z + 4. What is -15*g(l) + 4*m(l)?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25540573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244127, 244471, 245045, 245849, 246883, 248147, 249641?\nAnswer: 251365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwi when three letters picked without replacement from {w: 2, i: 2, v: 2, r: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*g + 44*g + 4*a + 23, g + 4*a + 9 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945626 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/3 (b) 1\/5 (c) -6\/17 (d) -11 (e) 44\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*193.7.\nAnswer: 19.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 1583 = -1487 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*b - 13, -2*b + b = -4*j + 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-6.506\nAnswer: -26.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*c + 378. Is 74\/(5\/(c\/6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 4 = -7*m. Find the second derivative of 29*n + m*n**2 - 75*n**2 + 47*n - 59*n**2 + 113*n wrt n.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 337*u**7\/7 - 113*u**4\/4 - u**2 + 38*u - 5. What is the third derivative of x(p) wrt p?\nAnswer: 121320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by -4.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -5, -2\/13, -2, -2\/31, -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 111695.7ml?\nAnswer: 111.6957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -20, -18, -4, 28, 84?\n\"Answer: c**3 - 3*c**2 - 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 51. Let u be 0 - z\/(-1 - -6). Let d be 82\/4 - (-5)\/(-8 - u). Solve 25 = -5*f - 5*m, 4*m - d = 8*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274534 * 8\nAnswer: 2196272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60.6301894027 and -87.\nAnswer: -147.6301894027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (13 - (15 - (11 + 2)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))\/(f**20\/f) assuming f is positive.\nAnswer: f**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*((sqrt(152) - sqrt(152)*-1*-1) + sqrt(152) + 4*sqrt(152)*1))\/(-3*(sqrt(800) + (2*sqrt(800) - sqrt(800))*5)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*v + 4*b, -3*v + 4*v - b + 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -7) + (3 - 2). Let x be 141\/15 + y\/15. What is the highest common divisor of x and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/40600*-280*(-2)\/(-14)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m**0)**(-2\/43) assuming m is positive.\nAnswer: m**(-12\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 + 117571935 - 117571935 - 17*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:59 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 + 3*v + 1. Let s be m(-4). Suppose d - 3*q = -1, q = -d - q + 9. Solve -s*k - 12 = -k - d*i, 4*k + 2*i = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 695*g. Let o(z) = 2*z. What is o(h(a))?\nAnswer: 1390*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:49 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (43\/860)\/((-2)\/59) and -47\/148?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Is d less than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412320655.\nAnswer: 5, 23, 53, 61, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 21. Let m be 24\/56 - (-6)\/(-14). Calculate the remainder when 81 is divided by t(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 4*c + 16. Let b be k(-17). Let f = -874 - b. Differentiate -f*v + 2068*v - 22 + 39*v**4 with respect to v.\nAnswer: 156*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/26 + -7 + 5. Let n = 0 - 0.4. Sort 1\/3, k, n.\nAnswer: n, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*w + 2 = 10*w, -5 = -n + 2*w. What is the lowest common multiple of n and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 6)*(-4)\/10. Let r be ((-3)\/(-5))\/(k\/(-10)). Let w(o) = 53*o**2 - 533*o + 29. Let f be w(10). Sort r, f, 2 in increasing order.\nAnswer: f, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30531260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.03 - 5.79. Let c = i + -3.44. What is c rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/66416322 and 103\/2170.\nAnswer: 332081610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -210*v + 217*v - 21287. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 24*t**2 + 57*t + 329. What is a(26)?\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 53*a - 83. Let d(n) = n. What is z(d(b))?\nAnswer: 53*b - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-1 - -2 - (1 - 19))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*t + 43*c**2 + 12*c*t + 212*c - 6301*t + 319 wrt c?\nAnswer: 4*c*t + 86*c + 12*t + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 8. Let i be r(8). Suppose 3*z - q - 4 = 0, i = 4*z - z + 4*q - 14. Let o be (-3 + z)*-1 - 1. Let p(m) = -m - 8. What is p(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Solve 5*w + 3*c + 12 = r, 5*c + 22 - 2 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*1*sqrt(324)*-3)\/(sqrt(768) - 1*(sqrt(12) - (sqrt(12) - sqrt(48)))) + 3.\nAnswer: -9*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -284, -558, -842, -1142, -1464?\n\"Answer: -x**3 + x**2 - 270*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 301 (b) -5 (c) -4 (d) 15 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d**3 - 47*d + 47*d)*(-d**2 + 1 - 1)*(2 - 5 + 2).\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - w - w)*(2*w**2 - w + w) + 0*w**3 + 5*w**3 - 3*w**3 - 5*w**3 + w**3 - 11*w**3 to o + x*w**2 + z*w + q*w**3 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 4.2?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/56 and 13\/5138.\nAnswer: 20552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256668 and 16206?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85.5 - -86. What is the nearest to 2 in d, 0.4, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -23093?\nAnswer: -23092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 - 68 - 2*p**2 + 0*p**2 - 2*p)*(3 - 3 - 2) to l*p + f + n*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.101 + 0.491. Let h = 3.39 - i. Let f = -0.2 - 1.8. What is the third smallest value in -3.3, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 29. Suppose 9*v - 48 = 17*v. Let k(x) = -10*x - 46. What is the remainder when k(v) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -4*y + 4640, y - 4*r = 1172. Suppose 0 = 7*a - 3429 - y. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - i**3 - 32*i**4 + 68*i**4 - 35*i**4 + 6*i in the form k*i + a + f*i**4 + m*i**2 + w*i**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i - i. Let b(m) be the third derivative of -m**6\/120 - m**4\/12 - 5*m**3\/6 + m**2. Is b(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893 + 920 = -9*i. Let u(d) = -d**3 - 4*d**2 - 2*d - 3. Determine u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 529477646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 35*v**2 - 193*v + 86. Let p be n(-28). Solve 0 = 2*s - p*z - 2, -3*s - 55 = z - 74 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2. Suppose 5*o = 3*b + 11, 4*o - 2*b - 7 - 1 = 0. Suppose 3*m + o = 16. Suppose 14*j = 9*j + m. Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3167406, 2, 1 in ascending order.\nAnswer: -3167406, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1\/5, -16\/17, -5902.82, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-3) - (-4)\/(-3). Let g be 2\/y - (-6)\/18. Is 12 a factor of (-123)\/g*6\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 - 11*c**4\/24 + 13*c**2. Let l be q(-6). What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 18. Let u = -18 - -13. Let o(h) = -9*h - 25. What is the remainder when o(u) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 9}. Give prob of sequence mmem.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589, -85, 419?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -544 - -3805\/7. What is the closest to 1 in -1\/4, t, 2.3, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 + 6) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34.006? (a) 0 (b) 3 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqqh when four letters picked without replacement from qhehqqqqhqqeeqqqqh.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4349a - -3?\nAnswer: -43497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*(-5)\/30*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let i be (2 - x)*7*3\/6. Solve -2*z = 3*t - t - 2, -z = -t - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n + 1. Let y = -42 - -40. Let c(j) = 3*j**2 - 4*j - 715. Let w(r) = y*p(r) - c(r). Is w(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -545*t**7\/42 - 5*t**3\/6 - 57*t**2\/2 - 2081*t. What is the second derivative of b(y) wrt y?\nAnswer: -10900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4405, 34700, 116783, 276550, 539897, 932720, 1480915?\nAnswer: 2210378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-360)\/(-4) + -8 + 4). Let r = 323 - c. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15209.45l to millilitres.\nAnswer: 15209450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 284424*d**2 + 20494080*d - 368986752.\nAnswer: -4*(d - 36)**2*(d + 71178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 168 = -3*v - 67, 4*v - k = -17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 44\/3*s + 42*s**3 - 130\/3*s**2 - 2\/3*s**5 - 38\/3*s**4 + 0 = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4460053, -4460025, -4459997, -4459969, -4459941?\n\"Answer: 28*f - 4460081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/7 (c) -25 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9225 + 9224.9. What is the closest to f in -4\/7, -1, -3, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0 + 10*m + 0. Suppose -5*n - p + 20 = 6, -n - p = -2. Suppose u + 3*t + 10 + 4 = 0, n*t + 20 = 5*u. Give c(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325809.7m in centimeters?\nAnswer: 32580970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 = -246*n + 2163 + 210 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v - 25, -c + 4*v + 2 = 0. Let l be 9\/(-48)*c*-18. Let k = -61 - l. Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -9*x. What is the closest to -1 in x, 2\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 7. Let l be ((-1)\/(-2))\/(4\/(-48)) + -2. Give n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4905062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 310173503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a milligram in micrograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 10*o + 104. Suppose -44 - 34 = o*a. Put -9, -1\/3, 5, a in descending order.\nAnswer: 5, -1\/3, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*p - 33*p - 100*p - 115*p + 33*p as v + g*p and give g.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(1 + 15\/(-9)). Let f(z) = 4 + 1 - 5 + 9*z**k. Suppose -4 = -3*n - 2*j - 1, 4*j - 1 = -n. What is f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 15*k + 29. Let h be c(3). Is h greater than or equal to 17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 2 - 9*w**2 - 6 - w**3 as y*w**2 + u + d*w + i*w**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2228116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s**3 + 0*s**3 + 3*s**3 - 3*s**3 - s**3 + (-s - 2 + 2)*(2*s**2 - 3*s + 3*s) + 0*s**3 - 3*s**3 + 2*s**3 + 2*s**3 - 3*s**3 + 4*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -4*f, -2*f = -4*z + 12. Suppose z*m - x - 28 = 21, -4*m + 101 = -5*x. Suppose m = v - 8. Solve 4*h = -k - 17, 2*k + v = -2*k - 4*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/2 + 1011*z + 10160 = 0 for z.\nAnswer: -10, 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/63960*26*-5*(-2)\/1?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856140 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -119, -178, -237, -296?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240622027.\nAnswer: 240622027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {u: 8, y: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62607, 62615, 62623?\nAnswer: 62631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/8902?\nAnswer: 3\/8902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + 2. Let a be (8 + (-234)\/27)\/((-2)\/18). Suppose a*r - 20 = 2*r. Solve 4*h - 4 + 0 = -r*c, -c - w*h = -2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685875178?\nAnswer: 2, 3301, 103889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17284*f - 17319*f - 280 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 15) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 135*o + 123*o + 11184 - 2154 = 0 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 0.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17099 + 31228. List the prime factors of v.\nAnswer: 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2. Let v(l) = -l + 84 - 84. Determine d(v(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9724*961.\nAnswer: -1895.4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -78*t - 45. Calculate the remainder when y(-6) is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 + 129\/27. Suppose 3*m + 1 = 2*c, -21 + y = -2*m - 2*c. Factor -w + 2*w + 3*w**2 + 3*w**3 - w**m.\nAnswer: w*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + (-41)\/(-3). Suppose l + m = b - 3*l, 4*l - 8 = 0. Solve 4*a + b = -2*w, -w = -4*a + 3*a - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197857091?\nAnswer: 167, 191, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*i + 20, -5*i = -4*i - 3*a - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.5 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*g - 71*g - 230 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40*(-2)\/36 - -2. What is the second biggest value in j, -2\/3, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15265 + -0.633.\nAnswer: 15264.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696002 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 23 = -31 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2702*k**4 + 12*k**2 + 2*k - 144 wrt k?\nAnswer: 64848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 27.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303226226.\nAnswer: 2, 151613113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/516054 and 71\/14?\nAnswer: 516054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fioooolvlfffl. What is prob of sequence iofl?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13620894.\nAnswer: 2, 3, 7, 29, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7992 + 8*m - 7992 - 3*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, 0 = p + 2*f - 2 - 28. Solve 7*j - p = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245808 divided by -36\nAnswer: -6828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, g: 1, u: 1}. Give prob of sequence jg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -775.1.\nAnswer: -780.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -28. Let s = 1 + i. Let p = s - -22. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -284, 5, -33 in descending order.\nAnswer: 5, 3, -33, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 212?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2448) + 1 + 3.\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 10)*(0 - -1). Let h(m) = k*m - m - 4*m. Let d(t) = t. Let x(c) = 10*d(c) + 3*h(c). Let w(g) = -g**2. What is w(x(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -13. Let c = q - -12. Let o = 6 + c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4117749 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a - 44*a - 85 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/40*-1*(-145)\/(-2). What is the second derivative of 6*v - w*v**2 - 53*v**2 - 10*v - 14*v wrt v?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 7:23 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 e, and 1 z when four letters picked without replacement from {l: 2, j: 1, e: 3, z: 13}?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1114*r - 2. Let y(z) = -14*z. Calculate w(y(c)).\nAnswer: -15596*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*y + 24, 0 = 3*q - 6*q + y - 32. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(153) - (sqrt(153) + sqrt(153)*-1))*-6 + 5 + 0 - (1 + sqrt(153) + -1)*3*5) + -3))**2.\nAnswer: -2268*sqrt(17) + 607293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/6811 and -62\/231.\nAnswer: 224763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((120\/35)\/2)\/(1\/(-7)*-2) and 796.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.1. Let h = 6 + -3. Let v be h\/(-18)*-2*9. Which is the closest to t? (a) v (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/670)\/((-28)\/6 - (-4935)\/1260).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*12\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 843821?\nAnswer: -843826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11609*i - 1462. Let v be f(-18). Round v to the nearest 1000.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * 2.66\nAnswer: -85.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*o + 18, 3*o + r - 8 - 4 = 0. Let f be 1\/2 + (-7)\/(-2). What is the third derivative of 6*c**6 - 68*c**o + 68*c**5 - f*c**2 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) -3\/2 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -323645100 rounded to the nearest 1000000?\nAnswer: -324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiccwiiiacm. What is prob of sequence cami?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyryyr.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 4*l**4\/3 - 4*l**2 + 30*l + 2. Let x(k) = -5*k**2 + 3. Give 3*o(n) + 8*x(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 6*f - 7. Suppose 0 = 3*j - 3*d + 40 + 371, -4*d - 532 = 4*j. Let l = j + 143. Calculate x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u - 16, -3*c + 5*u + 26 = 0. Suppose -c + 4 = b. Sort 7, -2, b in increasing order.\nAnswer: -2, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1141, 27, 4, -5?\nAnswer: -0.1141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546030 and 30517010?\nAnswer: 274653090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6 + 0*p + 3*p + p + 5*p. Let f be m(-9). Suppose 5*g = 380 - 110. What is the greatest common factor of f and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15 = s, 3 - 15 = -4*s - 2*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1473339795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 + -14.68. Let d = -14.99997 - w. Round d to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 58, 226, -0.5, -2.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -0.02, -1\/138 in ascending order.\nAnswer: -5\/2, -0.02, -1\/138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368952526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767774 is divided by 5998.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 15. Suppose 2*c = -2*v + 4*v - 30, -2*v - 3*c = -15. Let i be z(v). Let j(b) = -2*b**2 + 3*b. Let t(x) = x**2 - 2*x. Give i*t(y) - 2*j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 3*w**2 - 2. Let p = -2 + 8. Let m = p - 4. List the prime factors of s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 2)*(-11*m + 109*m - 391*m) in the form c + s*m and give s.\nAnswer: 1465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*j - 3*j. Find the common denominator of 9\/20 and 1338\/j - (-4)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-108) - (12\/(-27))\/(-2). Let p = -3 + 3.06. Which is the second smallest value? (a) p (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-7\/5))**(-44)*h**3*h**(-12)*h)**(-6\/29) assuming h is positive.\nAnswer: h**(4728\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.62341 days to seconds.\nAnswer: 4114662.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 82 (c) 3\/19 (d) 0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 449 = 155*i - 81. Solve -5 = -r, 13*m + r = 11*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 < -131\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + g. Let u be n(0). Let b be 4 - ((-3 - -3) + 2). Let a(s) = 5*s - 4. Let k(d) = d - 1. Let v(c) = b*a(c) - 9*k(c). Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-12 + -7) - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1235*j + 41986. Determine s(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -119117 divided by 4?\nAnswer: -119117\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 6*f**2 - 19*f - 12. Let g be d(-8). Let c = -8 + g. Suppose -8 = -c*v - 4. Put 2, v, -4 in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621 plus 13?\nAnswer: 7634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -2*c + 3*o, 4*c = 8*c - 4*o + 352. Which is greater: -87 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3172617l to millilitres.\nAnswer: 317.2617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -52. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 258. Let c(k) be the third derivative of -k**5\/60 + 331*k**2. Determine c(z(q)).\nAnswer: -4*q**2 - 1032*q - 66564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/16 and (371\/(-28) - -3)*3\/(-33)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2 - 13. Let f(n) be the first derivative of -5*n**3\/3 - 6*n - 219. What is 13*f(d) - 6*j(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/(-75))\/(6\/(-12))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-9)\/48*(-16)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k + 9*k + 2*k + (-1 + 4 - 1)*(-k - 5*k + 4*k) + (2*k + 4*k - 7*k)*(7 + 15 - 8).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (-23 - (-13 + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18*j + 426. Give o(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 21*u**2 + 9*u - 49. Is g(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20368 + 6578897\/323. Find the common denominator of -115\/204 and p.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16650 + 16652. Suppose 0 = 5*i - 19 - 1. Solve 3*l = p*x, -i*l - 4*x = -2*x - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4953 - 1?\nAnswer: -4954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 9\/35 (b) 6\/4271 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 9*h**2 - 14*h + 7. Suppose 5*k - 4*k + 7 = 0. Let v = 1 - -2. Calculate the remainder when a(k) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30.0000154. What is o rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmmddmddmmmdm. What is prob of sequence md?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 14 = -274. Let u = b - 55. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1765*v**3 + 1748*v**3 - 10 + 24*v**2 + 0*v**5 - 2*v**5 wrt v?\nAnswer: -120*v**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 + 281 = -35*b - 904 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -194 (b) 0.09 (c) -30\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/7 smaller than 3.07131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27 - -18.\nAnswer: 18.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k*k)**9\/(k**0\/k*k)**(13\/2) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3 - 18*m + 3*m**4 + 0*m**3 - 11*m - 3*m**2 + 38*m.\nAnswer: 3*m*(m - 3)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i)*(1 - 1 + 2*i) - i**2 - 3*i**2 + 3*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 5*b**4 + 2*b**4 + (4*b**4 - b**4 - 2*b**4)*(5 + 6 - 7).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 17*u + 487. Let s(m) = 10*m + 244. Determine -5*s(w) + 3*x(w).\nAnswer: w + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9 + 0*k - k - 4. Let g(b) = 2*b + 19. Let i(c) = -5*g(c) - 7*j(c). Let h(m) = 4*m + 5. Determine 5*h(z) + 6*i(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3\/226, 0.5, -7, 2\/97 in descending order.\nAnswer: 0.5, 2\/97, -3\/226, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 31*h = 3. Suppose h*l - 324 - 456 = 0. What is the units digit of ((-3)\/(-3))\/(5\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -381, -468, -575, -684, -777, -836?\n\"Answer: 3*m**3 - 28*m**2 - 24*m - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 113, 118, 125, 134, 145, 158?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 6*j + 6*j = -744. Let g = j + 63. What is the closest to g in 4, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6673836 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/10 + 10*v**3\/3 - 20*v**2. What is the first derivative of f(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:53 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39256385 is divided by 39256377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*m - 62 = 0, 2*s - 3*m + 8*m - 39 = 0. Calculate the lowest common multiple of 352 and s.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*r)*(0 - 1 - 1) + 261 + 321*r - 261.\nAnswer: 331*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*(m\/m**(-5))\/m)\/(m*m*m**(1\/6)))\/(m\/(m\/(m*m\/(m\/(m*(m\/(m\/(m\/m**(1\/3))))\/m))*m)*m)*m**(1\/2)*m))**44)**(-21\/2) assuming m is positive.\nAnswer: m**(-770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoop when four letters picked without replacement from {p: 1, o: 4, e: 2, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 15, 0 = -5*z - m + 1032 + 3863. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v - 3*w - 3, -3*v = -2*w - 12. Suppose 97*x - 60 - 216 = 5*x. Solve 3 = x*l - v*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/21)\/(-1)*2324\/(-3984)*(-432)\/2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6 = -3*s, -99*x + 95*x - 2*s + 24 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-3*k - k + 8*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004954 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723 - 759 = -6*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.3, -148, 12, -5, -367.\nAnswer: -367, -148, -5, -1\/10, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10208*y**2 - 10211*y**2 - 1 + 1.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5683.2 and -1.91?\nAnswer: 10854.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(128)*-4 + 6*sqrt(128)*-2)**2.\nAnswer: -768*sqrt(2) + 32777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3*t**3 + 4*s**3*t - 2*s**2*t - 9*s*t**3 - 3*t wrt t.\nAnswer: 18*s**3*t - 54*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from {s: 3, x: 2, v: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 95845 = 33917. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 58?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 456 + 16?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3*u**2 + u. Let i(n) = 5. Let j(f) = 5*i(f) - 4*q(f). Let g(b) = b - 5. Calculate g(m) + 3*j(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 4, n: 2, y: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560986.\nAnswer: 2, 7, 43, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 22*f**3 - 22*f**2 + 6*f. Let p(j) = 11*j**2 + 2*j - 4*j**2 - 4*j - 7*j**3. Calculate -5*d(h) - 16*p(h).\nAnswer: 2*h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 3, l: 1, h: 2, n: 1, e: 4}. What is prob of picking 2 h and 1 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119118951 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660 + -457. Let a = -92 + q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t*t*t)\/(t\/(t**(-2\/7)*t)))**(-50) assuming t is positive.\nAnswer: t**(-2000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*r - 11*r - 2*r**2 + 28*r + 2 to v + s*r + a*r**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(18)\/sqrt(2)) - (sqrt(8)*1*4 - sqrt(8)))\/(sqrt(100)*1*-2).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 - t. Let l(h) = 2*h**3 - h**2 - h. Give -2*l(r) + 2*u(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -0*h - 4*h - 28, 5*u - 28 = 2*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 5*o**4\/4 - o**3 + 2*o**2 - 7*o + 12. What are the prime factors of b(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 3*p + 31, -16*p + 9 + 13 - 7 = -11*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3 + 19. Let y = 25 + -61. Let w = y + 107\/3. Which is the closest to -1? (a) 0.1 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4057693 by 9.\nAnswer: 4057693\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 370129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85359*l = -85376*l. Let h(k) be the second derivative of 1\/2*k**3 - 15*k + l - 1\/20*k**5 + 0*k**4 - k**2. Factor h(p).\nAnswer: -(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 3, 2, 789, 17 in ascending order.\nAnswer: -12, -4, 2, 3, 17, 789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.044, 2, -4, -1\/39 in ascending order.\nAnswer: -4, -0.044, -1\/39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 53*q + 116 = 456 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 - 9*f - 10. Let n be c(-7). Find the second derivative of 24*t**3 + 4 + 3*t + 10*t**3 - n - 1 wrt t.\nAnswer: 204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5224 + -0.0224. Which is the third smallest value? (a) 5 (b) -4 (c) -1 (d) n (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, 14417, 0.06, 1\/2, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*j - 6 = 0, -5*v - 3*j + 2 = -11. Suppose -2*x + 2 = -2*l - l, v*l - 8 = -x. Suppose -x*z + 9*z - 1945 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-1)\/(-2). Suppose -u + 18 = 3*y, 5*y + 6*u = 6*y - 6. Solve -5*q - s = -y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = p - 3, p - 23 = -0*p + 4*t. Let i be (-11 - p)*8\/(-6). What is the greatest common factor of 192 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5152, -8179, -11194, -14197, -17188?\n\"Answer: 6*u**2 - 3045*u - 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29307009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/(-14) - (-4)\/14. Let b(r) = r**3 + 2*r**2 - 4*r - 3. Let h be b(k). Let y be (57\/152)\/((-3)\/2). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 6*z - 2. Let o be b(7). Suppose -o*g + 21 = 6. Is 2 - -1 - (g + -263) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1389, -1381, -1373, -1365?\n\"Answer: 8*x - 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 645 + 435 = 0. Solve 8098*h - 8090*h = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - 0*o + 2*i, 5*o - i = -2. Suppose d + 2*q - 2 = o, 0 = -3*d - 8*q + 13*q - 5. Let b(v) = v**2 - v + 3. Give b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11592.94 - -11117. Round d to zero decimal places.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1359741 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 9. Let w(t) = 2*t + 5. Suppose 6*g - 10*g - 20 = 0. Let m(o) = g*w(o) + 3*d(o). Give m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + q - 1)*(-3*q**2 + 3*q**2 - 2*q**2) + (-7*q + 15 - 15)*(3*q + 13*q**2 + 18*q**2 - 30*q**2) to l*q + f + v*q**2 + p*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/206360 and 63\/88.\nAnswer: 206360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51923976 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(2*(-9)\/72) + 356. What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3967627, 7935250, 11902873, 15870496, 19838119, 23805742?\nAnswer: 27773365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - t. Let g be k(-2). What is the common denominator of (1425\/54)\/5 - g and -77\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12790 + 12785. Sort f, 0, 3, 236 in ascending order.\nAnswer: f, 0, 3, 236","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49327 or 49326?\nAnswer: 49326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 - 6*q**4 - 15*q**3 + 18*q**2 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 194\/7 in -2, -2\/5, -0.2, -82?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:05 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 607.27, -0.09, 22 in decreasing order.\nAnswer: 607.27, 22, -0.09, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 3419324*n**2 + 280374482*n + 5747607960 = 0 for n.\nAnswer: -1709580, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1262 (base 9) to base 3.\nAnswer: 1022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 3 - 3)*(-11 + 24 - 4)*(-23 - 7 - 1) to u + i*x and give i.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 176*b + 605. Determine z(-2).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsqn when four letters picked without replacement from qsannqaqnnnysnnqwnys.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 24 = 33*a. Calculate the remainder when ((-2)\/4)\/(1\/(-46)) is divided by (8\/a)\/(0 + (-10)\/(-195)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2642 + 2651 + 0 + -2 + 0 + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295.8 rounded to the nearest ten?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 377189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 1292*l - 13123. Give z(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*g + 4, -2*g + 4*y - 14 = 8. Let c = g + 5. Suppose -c*n = n - 33. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 200. Let m(u) = -u - 3. What is m(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, 1\/14, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1639124 divided by -6.\nAnswer: 819562\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37013544 and 18506772.\nAnswer: 37013544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155787*o**3 - 356*o**2 + 155775*o**3 + 356*o**2.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j**4\/5 - 4*j**3 - 52*j**2\/5 + 4*j + 16\/5 = 0.\nAnswer: -1, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*m - 3*m + 261 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/494 and 25\/12?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-77712)\/195899)\/((-12)\/33)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let l be (-2 + -1)*(-4)\/6. Let n(i) = i**2 + 6*i**l - 3*i**2. Give w(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6996 = n, -5*o + 17909 = 5*n - 17101. Suppose 0*u - n = -2*u. What is u rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 585779245679 and -7.\nAnswer: 585779245672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2509 = c + 2*q, 5*c - 3*q - 628 - 11930 = 0. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37799699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + 0.48. Let f be 0 - (-5 + (-1 - -2)). Suppose f*y = y. Which is the nearest to -2? (a) 2\/3 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1340 divided by -354\nAnswer: 670\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-7)\/(-3). Let x(m) = s*m - m + 0*m. Let n(p) be the second derivative of -p**4\/6 + 29*p. Determine n(x(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8465.45 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1673595 and 159390.\nAnswer: 3347190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(19) + -2)*-3*3 + -4 + (sqrt(209) - sqrt(209)*-1)\/sqrt(11))**2.\nAnswer: -448*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4953064410 to the nearest one million.\nAnswer: -4953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 1. Let c(z) = 3*z + 3. Let w be (-14 - 6)*(-10)\/25. Let i(s) = w*t(s) + 5*c(s). Suppose -3*h + 2 = 5*b - 3, -2*b = -3*h - 23. Give i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2633, 2640, 2659, 2696, 2757, 2848, 2975?\n\"Answer: z**3 + 2632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.026 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 14. Let l(i) = 3*i + 4*i - 15*i + 4*i - 4. What is l(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let a(q) = q**3 + 11*q**2 - 102*q + 1. Let f be a(-17). Let d(c) = 14*c - 10. Give f*d(u) - 12*m(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*z + 37, -4*o - z - 47 = -9*o. List the prime factors of (-3)\/(-2)*60\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 8*k - 1. Let r(h) = h**2 - 10*h - 16. Let f be r(13). Suppose 0 = 2*u + 3*d + d + 2, -2*u + 3*d = f. Give b(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/5456 and 155\/74712.\nAnswer: 4632144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 785*f + 2705. Let z be d(-3). Calculate the highest common divisor of 630 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1078.8 + -979. Let o = a + -100. Let n be (-16)\/7 - (-2)\/1. What is the third biggest value in o, n, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 + 231259*m**2 + 289086*m - 346896 = 0.\nAnswer: -2, 3\/4, 57816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894105344?\nAnswer: 2, 3, 151, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201582 or -201581?\nAnswer: -201582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 17 = b, -2*b = 4*x + 8. Let a = b + -3. Let d(u) = -u**3 + 1. Let c be d(a). Solve 2*q = -j + 4*j - 7, 0 = -c*j + 5*q + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16495 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 11 = 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-42) + 264\/(-21). Let n = i - -17. Solve -2*m = -4*c - n*m + 18, 0 = 2*c - 4*m - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 653 + 126*d - 326 - 327 to the form i*d + y and give i.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, 14 in decreasing order.\nAnswer: 14, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003908 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 38 - 14*z**2 - 78 + 59 + 2*z**2 as o*z + v + f*z**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**3 + 2*q**2 + 5*q - 1. Let i(c) = 2*c**3 - 26*c**2 + 23*c + 10. Let b be i(12). Is 2 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 247 - 34. Let n = 66 + x. Let f(h) = -h**3 + 5*h**2 - 6*h + 2. Let p(y) = -y**3 + 4*y**2 - 5*y + 1. Determine n*p(s) + 4*f(s).\nAnswer: s**3 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32674 - -32673. Sort 2, 24, q in decreasing order.\nAnswer: 24, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 4. Let s(j) = j + 0*j + 0 + 1 + 4. Suppose 3*h - 13 = -1. Suppose 5*w - 6*w - 25 = -h*l, -3*l + 2*w = -25. Determine l*x(c) - 4*s(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1348 + 1347. Let l(t) = 8*t**2 + t + 1. What is l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(5\/105). Let q = k - -9. Factor -1\/3*l + 2\/3 - 1\/3*l**q.\nAnswer: -(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4768*k**3 + 1620*k**3 + 1860*k**3.\nAnswer: 8248*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -18. Suppose -u*j = 2*j - 2*d - 67, 4*j - 4*d = 44. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 312704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 3*p**2 + 6 + p**2 + 4*p. Let i be g(-6). Suppose i - 8 = 5*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21571 to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/93691788 and 19\/21.\nAnswer: 655842516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*r + 102*r - 3 = 0. What is the third biggest value in 1, r, -4\/9, -0.051?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 25*f = 8*f. Suppose 0*d + 61443 = 3*d - 4*m, -5*d + 5*m + 102400 = f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124542522 (base 6) to base 13\nAnswer: -686819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1104 and 109572?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1766923651 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 756537 (base 8) to base 7\nAnswer: 2103265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -474*t**2 - 6*t + 1. Let u be l(1). Let c = 896 + u. What are the prime factors of c?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9645.494 meters to kilometers.\nAnswer: 9.645494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001502 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i**2 + i)*(4*i**3 + 0*i**3 - 3*i**3) + (-28*i**2 + 14 - 14)*(0*i**3 - 4*i**3 + 5*i**3).\nAnswer: -29*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsozossossszozzs. What is prob of picking 2 o and 1 z?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-198)*1215\/7560\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567311 and 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -4. Suppose 76 = -11*p + s*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + o**3 + 7*o**2 - 10 - 4*o + 0. Let f be (1 + 2)\/(65\/130). What is the units digit of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 89*w - 178. Let m be q(20). Solve m*l = -a - 8, 4*l + a = 8*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 11) + -15 - -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (12 + -3 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 279, 507, 819, 1239, 1791, 2499, 3387?\nAnswer: 4479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158202 (base 13) to base 12.\nAnswer: -217a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53584 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 u(p) = -5102*p + 2909. Let y(k) = -2*k**2. What is u(y(a))?\nAnswer: 10204*a**2 + 2909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m - 20. Let b(d) = -d**2 - 4*d + 3. Let t be b(m). What is the remainder when 30 is divided by 19 + -3*(t + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + g + 0*g. Let f(l) = -3*l**2 - 3*l + 3. Let j(n) = -82 + n + 43 + 38. Let r(o) = -f(o) - 3*j(o). Calculate r(m(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -19*x**9\/504 - x**5\/3 - 19*x**2. Find the third derivative of u(h) wrt h.\nAnswer: -2280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t - 66. Give s(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151148 and 4974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**2 - a + 4. Suppose 7*h + 871 + 214 = 0. Let n = h - -157. Give z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -12 (c) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96158 (base 14) to base 3.\nAnswer: 200102020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*w - 175, -170*w + 42 = s - 164*w for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 0.178.\nAnswer: 10.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 + 13*n - 111*n + 28*n + 42*n + 29*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95224642 and -4.\nAnswer: -380898568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(720) + sqrt(720) + sqrt(720) - (sqrt(5) + (2*sqrt(5) + -5)**2)).\nAnswer: -330*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnyzp. Give prob of picking 1 p and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 5. Let j be (-1)\/(((-8)\/20)\/2). Let p(a) = -10 + a + j + 0*a. Let c be p(0). Let i(z) = -2*z - 4. What is c*f(v) + 6*i(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 12. Let q be w(-9). Suppose 0*n = -3*n + q. Find v such that -2 + 0*v + v + 2*v**n + 1 - v**3 - v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h - 32*h - 125 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001683421 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4320 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 4*a + 1. Suppose -4*d + 23 + 5 = -2*w, -5*w + 3*d - 35 = 0. Let u be g(w). What is the first derivative of -1 + 3*y**3 + 1 - 2 - u wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 18*z + 14235 = 0. Calculate the common denominator of -11\/28 and z\/(-104)*(-4)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271232 by 16952.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-1 - sqrt(684))*-5 + -3 + 3 + (sqrt(684) - (sqrt(684) - -5*1*sqrt(684))) + -4 + -4.\nAnswer: -8 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/371? (a) 0.0357 (b) 0.3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657847.518 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h**2. Let f(o) = 3*o - 182. Calculate f(t(c)).\nAnswer: 69*c**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9038*a**3 + 2728*a**3 - 4919*a**3.\nAnswer: -11229*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -33*x**3 + 9*x + 9. Let q(t) = -16*t**3 + 4*t + 4. Suppose -30*f - 324 = 6*f. Determine f*q(n) + 4*j(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 5. Let a = c + -3. Let t be (-4)\/18 - 52\/117. Are a and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 50 = d. Put -18, 0, 5, d in increasing order.\nAnswer: -18, d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2529*a**3*i**3 + a**3 - 1406*a*i**2 - 2*a*i - 12*i**3 - 8*i**2 wrt i?\nAnswer: 15174*a**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 587, -10, -4, -65 in descending order.\nAnswer: 587, -4, -10, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 933, 1371, 1801, 2217, 2613, 2983, 3321?\nAnswer: 3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 30 = -2*x. Let o be -10*-3*(-1)\/x. Suppose -2*s + 49 = -5*p, 4*p + 42 = o*s - 89. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 547036, 547035, 547034, 547033, 547032?\n\"Answer: -a + 547037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(sqrt(224) + -3*sqrt(224)) - sqrt(224) - sqrt(224) - sqrt(224))\/((sqrt(7)*3 + sqrt(7))*3).\nAnswer: -13*sqrt(2)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 25576.14 grams?\nAnswer: 0.02557614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-4 + -5*sqrt(19) + 2)**2 - (-2 + sqrt(1539) + -2*sqrt(1539) + ((sqrt(1539) - (sqrt(1539) - sqrt(1539)*-1))**2 + -1 - sqrt(1539))).\nAnswer: -34*sqrt(19) + 1679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*v**2 + 10*v + 106*v**2 - 27*v + 17*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/33 and 115\/27006?\nAnswer: 297066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10807884 is divided by 298.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**2 + 9*n - 27. Let b(h) = -2*h**2 + 2*h - 6. Let m(q) = -9*b(q) + 2*c(q). Let u(i) = -54*i**2 + 2. Calculate m(u(a)).\nAnswer: 17496*a**4 - 1296*a**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177 * 0.4.\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 98*y - 1914. Let r be u(-70). Solve 3*b - 1 = 2*n, r = 3*b + 43 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 12098. Let q(r) = 4*r**2 + 248. Give q(b(c)).\nAnswer: 4*c**2 - 96784*c + 585446664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(0 + (2 + sqrt(704) + sqrt(704) - sqrt(704))))**2.\nAnswer: 3200*sqrt(11) + 70800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 15, 0, 1172, 80 in descending order.\nAnswer: 1172, 80, 15, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1041432055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 13*c - 36. Let b be j(-4). What is the fourth biggest value in -5, -4, b, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2208*o**3 + 10*o**2.\nAnswer: 2*o**2*(1104*o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -60. What is the third derivative of 2*d**4 - 9*d**4 + d**4 + 19*d**2 - s*d**4 wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-920)\/6)\/(-115).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q + 31. What are the prime factors of h(-7)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1005 divided by 25953\nAnswer: -335\/8651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-495)\/462*-14.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b + 4*b**2 + (-353 + 800 - 391)*(-2*b - 3*b + 3*b)*(-8 - 7*b + 8).\nAnswer: 788*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1434315812.15 + 4.2.\nAnswer: 1434315816.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2. Let f be p(4). Let k = -14 + f. Let l = -9 - -15. Solve 3*j + 4*a - 12 = 13, -k*j - l = -3*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 17*n + 2. What is the remainder when ((-214)\/((-12)\/(-18)*-12))\/((-71)\/(-284)) is divided by z(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*h - 11, -3*c - 359*h + 6 = -362*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*o*s*u**2 - 430267*o*s + 38469889*o*u**2 with respect to s.\nAnswer: 9*o*u**2 - 430267*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -47*n - 3340. Let q be g(-71). Which is the closest to -1.1? (a) 0.1 (b) -0.1 (c) q (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)\/w)**19*w**7*w\/w**(-5\/4) assuming w is positive.\nAnswer: w**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r + 21 = 10*r + 26*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - 26. Let c = t + 243. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 + (0 - -1))) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)\/((-2)\/6). Let z(c) = 3*c - 4*c + j*c + 0*c. Let g(i) = -i. Determine z(g(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*n + 4*n - 23*n)*(11*n**2 - 38 + 38).\nAnswer: -605*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.492860946 and -4.\nAnswer: -4.492860946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2 + (-1)\/3*0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 80*g**3 + 437*g**2 - 518*g.\nAnswer: g*(g - 1)*(g + 7)*(g + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -34. Put -9, z, -3 in descending order.\nAnswer: z, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3540674759.8171 and -0.1.\nAnswer: -3540674759.9171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let s = 2 - c. Let b = 0 - s. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-392)\/20)*(-12)\/(-15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u - 399 = -471 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21))\/(144\/(-630)*5)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (27 - (2 - -17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 45790025 = -5*i, -7*i + 9*i + 10 = 0. What is l rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-25)))**(-21\/5))**13 assuming g is positive.\nAnswer: g**(-1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p*p**(-1))\/(p**1\/(p*p*p*p**(-6)))*p**4\/(((p**(2\/7)\/p)\/p)\/p)*p**1*p**(-1\/7)\/p assuming p is positive.\nAnswer: p**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443441612 to the nearest integer?\nAnswer: 21058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -351, -353, -355, -357?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1347*c*u**2 + 2308079*c + 2174*u**2 wrt u?\nAnswer: 2694*c*u + 4348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2564727*a**2 + 1855010*a wrt a?\nAnswer: -5129454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146077320 or -146077321?\nAnswer: -146077321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*f**3 - 679*f**3 + 332*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrt when three letters picked without replacement from {y: 4, h: 1, z: 3, o: 4, t: 3, r: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(187) - (3*sqrt(187)*-2 - sqrt(187))) + ((sqrt(187) + sqrt(187)*-1)*-4 - sqrt(187) - sqrt(187)))\/(sqrt(44)\/sqrt(4)*4*-4*-4))**2.\nAnswer: 765\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*g + 4*o - 81, 2*g + 2*o = 42. Let w = g - 15. Differentiate q + 8 + w*q - 2 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*-2*sqrt(1053) - sqrt(1053))**2 + (sqrt(1053)*1 + 3)**2) - 5*sqrt(130)\/((sqrt(90) + sqrt(90)*2)\/sqrt(9))*-5.\nAnswer: 835*sqrt(13)\/3 + 263295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 3*n - 2*w + 29, -5*n = 2*w - 511. What is the remainder when 1009 is divided by n?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 107\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 92 in descending order.\nAnswer: 92, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.24. Let z = -156.685 + 157. Let f = g - z. What is f rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70022313 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-27)\/21)*4\/28?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + 32 - (0 - -3) - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 + 36. Is 10 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q - 15689 = 2*r, 5*q - 2*r = 26143. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**2 + 41 + 72*h**2 - 41 as z*h**2 + u + m*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 7 + 7 + 2*t + 0*t - 4*t + (5 - 5 - 2*t)*(-3 - 3 + 4))*(2 + 1 + 2)*(-1 - 5 - 7).\nAnswer: -455*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 5*s + 199. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let o(i) = 15782*i**2 + 551. Determine o(l(u)).\nAnswer: 63128*u**2 + 551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2)\/((-340)\/34)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = -12. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3 - 6. Suppose 0*c = -t - j*c - 12, 0 = -t + 4*c + 16. Suppose -m + 9*m - 192 = t. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078+22.8\nAnswer: 22.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x**2 - 3*x + 9. Let s(j) = -6*j**2 - j + 3. What is 2*a(v) - 7*s(v)?\nAnswer: 4*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/17 - 349664*w\/17 + 349666\/17 = 0 for w.\nAnswer: -174833, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 137, 202, 0.6, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*q - 50, 6*q + 2*n = 2*q - 48. Let v(u) = -2*u. Give v(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2571 = -268*d - 480*d + 10893 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -60. Let n = i + 51. Solve -f - n = -5*c + 4*f, -3*c + f = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404.3 take away 4?\nAnswer: -4408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p**2 - 46*p + 386. Let k(v) = -7*v**2 - 22*v + 193. Let b(n) = 13*k(n) - 6*s(n). Let m be b(9). Solve -c = 2*l + 3*l + 20, l = 5*c + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/37224 and -39\/40.\nAnswer: 186120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3457*j - 31066. What is z(10)?\nAnswer: 3504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 w when three letters picked without replacement from wqjqawoyaawyqyqjw.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -141, -215?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -342 - 198. Suppose -4 = -2*w - 4*a, -2*a = 3*w + a. Does 23 divide w\/(-8) - g\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:20 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 + 18*y + 3. Let z be o(-9). What is the second derivative of -z*c - 13*c**3 - 14*c - 19*c + c**2 - 15*c wrt c?\nAnswer: -78*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.13958 - 1588\nAnswer: -1585.86042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3)*(-54)\/45. Let l(f) = -3*f + 4. Let v(g) = 4*g - 2*g - g - 1790 - 2*g + 1791. Give y*v(o) - 2*l(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21. Let g(m) = -m - 3. Determine 21*g(k) + 3*n(k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 10101000010001101110001?\nAnswer: -10101000010001101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*21\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/2))\/g*g\/(g\/(g**0\/g*g)) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzww when four letters picked without replacement from wzzww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -13*h + h. Suppose h = -i + 5*p + 111, 3*i - 135 = 2*i - p. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 5*g + 9, -4*d + 5*g = -39. Let z = 39 - d. Suppose 20 = 2*b - 5*i, 4 = -b - 2*i + z. Solve 0 = -3*a - 2*m - 5 + 1, -b = 5*a - 5*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1604400 and -13\/10800?\nAnswer: 14439600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24871361?\nAnswer: 19, 151, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -101*q - 25. Let h(a) = -17*a - 9239 + 16*a + 9239. Calculate h(c(m)).\nAnswer: 101*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v*w**4 + v*w + 40*w**3 + 2*w**2 - 5 wrt w.\nAnswer: -48*v*w + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.906 to 1 dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482.1 + -3?\nAnswer: -1485.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 6. Let h be 2\/2 + k\/6. Let d = -30 - -30.2. Which is the third smallest value? (a) h (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71082230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 y when four letters picked without replacement from tttttytt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*f + 4, 2*b = 4*f + 332. Is 44 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 2, -43, -15 in increasing order.\nAnswer: -43, -15, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 29. Suppose -4*y + o = i, 2 + 6 = i - y. Suppose -w = -i - 6. Calculate the remainder when 35 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 11540*z**4 + 34629*z**3.\nAnswer: -z**3*(z - 3)*(z + 11543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + (-1)\/(-5). Let z(d) be the third derivative of -1\/525*d**7 + 5*d**2 + 0*d**3 + 0*d**4 + r - 1\/150*d**5 - 1\/150*d**6 + 0*d. Factor z(u).\nAnswer: -2*u**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-seven fifths of a hour?\nAnswer: 62640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 142004101?\nAnswer: 142004101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -109*z**5\/15 - 679*z**2 + 1. Let j(b) = -2*b**2. What is r(j(g))?\nAnswer: -1744*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 2175\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 - -1765\/8. Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-550)\/(-6) + 5\/15. Let z(g) = -90*g + 563. Let r be z(6). What is the highest common divisor of r and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2 - 2*m - m**2 + 4*m + 2*m. Let u be g(2). Let k be (6\/u)\/(4 - 3). Solve 0 = k*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9953\/2750 + 174\/125. Let u = -1893887268971\/58716 + 225785342\/7. Let d = u + -5\/932. Find the common denominator of d and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(6 - 1 - 2) + 2 - 2 + 1 + 1 + 2 - 1)*(0*r**4 - 3*r**4 + 4*r**4).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180)\/(1*sqrt(10)))\/(sqrt(99)\/(2*sqrt(1100) + sqrt(1100) - sqrt(11))).\nAnswer: -174*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.02.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-1\/46)*c**(-2\/17)*c**3\/c*(c*c*c*c**(-2\/25)*c*c*c**5\/c)\/(c**2*c**(1\/6)) assuming c is positive.\nAnswer: c**(22021\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 1185910.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90110556 by 324.\nAnswer: -278119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159069 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11010011010000011 (base 2) to base 11\nAnswer: 742a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3625081*l - 1141*l**2 + 3625081*l)*(2 - 2 - 2*l)*((2*l + l - l)*(-2 + 0 + 0) - 4 + 4 - l).\nAnswer: -11410*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 577 in ascending order.\nAnswer: -6, 0, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6085 - 6098. Sort -3, 7, -5, a in descending order.\nAnswer: 7, -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4192516 - 510479. Suppose 4*q - 7364099 = c, 0*q - 2*q + 3*c + y = 0. Suppose -4*s + 241026 = q. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 30*y**2 - 19 + 11*y**2 as u*y + n + g*y**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(700) - (sqrt(700) - sqrt(700)*1)) - ((-2 + sqrt(700) - sqrt(700)) + -3) - (2 + sqrt(700)*-3 - -1*(sqrt(700) + 2))**2.\nAnswer: -2811 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*y - 35*y - 2*j - 1, 0 = 4*y - 5*j + 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*n + 26, -n = 3*o - 2*n - 56. Solve 0 = o*i - 20*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*6 + 5*(sqrt(152)*1 - sqrt(152)))\/((sqrt(32) + sqrt(800)*-2)\/sqrt(4))*4.\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*5*4 + (-5*sqrt(1539) - sqrt(1539))*1 - ((sqrt(1539) + -1 + sqrt(1539))*6 + -5*(sqrt(1539) + sqrt(1539) + 1 + sqrt(1539)) + 1)**2.\nAnswer: -13951 - 414*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5275972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43881 divided by 14801.\nAnswer: -43881\/14801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(3230*n**3 - 1011*n**3 + 1328*n**3).\nAnswer: -7094*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 8 = 19*r. Let h(g) = -7*g - 2. Calculate h(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p*p*p*p\/(p\/p**(-2\/11)))\/(p**(-1\/5)\/(p**3*p)))**19 assuming p is positive.\nAnswer: p**(8379\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let y be h(2). Let b(a) = a. Let p(v) = 359*v**3 + 2*v**2 + 355*v**3 + 7*v - 2*v**2 - 716*v**3. What is y*b(g) + p(g)?\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryyfgfrgrfrkytrryyt. What is prob of sequence gtk?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*h - 5, 955*g = 951*g - 3*h + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 2*x**2 + 19*x - 13 + 22. Is t(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from fcccfcc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/5 + 33*o**3\/5 + 31*o**2\/5 - 33*o\/5 - 32\/5 = 0.\nAnswer: -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 1. Let u be p(1). Let v be 699\/(-756) - (-2)\/u. Let m = v + 8\/9. What is the nearest to -0.1 in m, -5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from ctmzm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -187 in -1.44, -4, 7, -2\/17, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -53. List the prime factors of -4 - 2*j - 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -44, -1\/2, -11\/5 in ascending order.\nAnswer: -44, -17, -11\/5, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r + 4*r + 10*r - 12*r**2 - 4*r**3 + 3*r**3 + 3. List the prime factors of p(-12).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 3.375?\nAnswer: -3.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*z**3 - 34*z - 153906?\nAnswer: -72*z**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, 7, 1, 30.\nAnswer: -5, 1, 3, 4, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -168470, -673687, -1515722, -2694581, -4210270?\n\"Answer: -t**3 - 168403*t**2 - t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**3 + 102 - 102)*(3 + 2 - 4)*(0 + 3 - 4).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000422836 to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/7 + 12*i**3\/7 - 6*i**2 - 68*i\/7 + 96\/7 = 0.\nAnswer: -8, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 5*t - 4. Let l be n(3). What is the second derivative of 4*q**2 + 336*q - 331*q - l*q**2 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*q + 20*q - 27*q + 438 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - -2*sqrt(192)) + sqrt(3072) + sqrt(12))\/(-4*-5*(sqrt(4) + (sqrt(4) - -4*sqrt(484)))).\nAnswer: 29*sqrt(3)\/920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4\/5, -9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 0*h**3 - 9 - h**2 + 0*h**3 - 312*h**4 + 292*h**4 as l*h**3 + b + a*h**2 + c*h**4 + k*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*l - 2*l. Solve 10 = 2*y - l*o, y - 2 = -0*y - o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2 + 9\/72*-18.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 8) to base 2.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = 9*r + 166. Suppose j - 4*p - 32 = -0*j, 4*j - 3*p = r. What is the smallest common multiple of j and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 0 - -2)\/((-3)\/2). Suppose q - 24 = -b*s, -s + 4 + 8 = -5*q. Calculate the greatest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6013 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.47623 - 3.563. What is t rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**3 - 750*o**2 + 30*o - 2257. Determine n(75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p + 1. Suppose -3*q = 4*b - 85, -5*b = -5*q - 180 + 65. Let d(z) = -10*z**2 + 10*z - 12. Calculate b*x(r) + 2*d(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2. Let g = -77 - -79. Let w(a) = -23*a**g + 20*a**2 - 5 + 5. Calculate k(w(s)).\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51428157 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 11. What is the units digit of (-6)\/g + (-96)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 110*z - 1. Let u(g) = 2*g - 5. Let o be u(8). Let y = 12 - o. Is p(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2705 + -2702. Suppose -2\/11*g**b + 4\/11*g**2 + 6\/11*g + 0 = 0. What is g?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98009.49l in millilitres?\nAnswer: 98009490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 4015 = -26165. Calculate the remainder when x is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 6*h + 2*h + (26*h - 21 + 21)*(0 - 1 + 3))*(4*h**2 - 4*h**2 + h**2) in the form c*h**2 + z + i*h + p*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 - 18) + 45 + 0\/2. Solve a*l + 6 = 51*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 98 = -4*v. Let s = v - 1. Let f = -32 + s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + 0 - (36 + -44).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + s + 2. Let f be y(-2). Let b be (f\/(-27))\/(4\/18). Solve -8 = -5*x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-25)\/20*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-108)\/(-42) + -2)*(98\/(-12))\/(-7). What is the closest to 0.1 in -3, 7.8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-15) + -2 + 1)\/((-1652)\/37170)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 1. Let h(j) = -3*j**4 - 48*j**3 - 192*j**2 + 48*j + 195. Let b(l) = h(l) + 3*m(l). Factor b(f).\nAnswer: -3*(f - 1)*(f + 1)*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z + 5. Let u(p) = -9*p - 2. What is -3*q(v) - 8*u(v)?\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (170016\/(-576))\/(-23)*6\/(-44)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 34*d**2 + 28*d - 18. What is z(-33)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 1. Let j be m(-2). Let i = j + -1. Is 5 a factor of i + 0*(-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l - 17. Let c be d(7). Suppose -2*u - 4*p + 272 = -160, p = -c. Suppose 5*h - 36 = 104. Calculate the greatest common divisor of h and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.4. Suppose 10*r = 6*r + 16. Let m be (3 + (-10)\/r)\/(-3). Which is the smallest value? (a) -3 (b) m (c) i (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1835820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 + 20*n - 5\/4*n**5 - 75\/4*n**3 - 10*n**4 + 10*n**2 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 28. Let u(b) = b**x + 13 + 0 - 97*b + 98*b. What is u(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83993049?\nAnswer: 3, 7, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150\/4*11528\/655?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032105 + 1?\nAnswer: -1032104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:10 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(25\/(-75)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 620\/(-6)*2280\/(-50). What is the tens digit of (r\/186)\/(2\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z**3 - 5 + z**3 + 14*z**2 - 3*z**2 - 4*z**2 - 2*z - 3*z**2. Calculate t(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115032, 115026, 115018, 115008, 114996, 114982?\n\"Answer: -k**2 - 3*k + 115036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5897 + -5884. Which is smaller: -1.68 or k?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:20 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/(1\/(-5)*-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 37 = 4*u - 3, -2*k - 4*u + 12 = 0. Let c(f) = f**2 + 7*f + 20. Let i be c(k). Solve -i*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 162*q**2 - 836*q - 8113. What is c(-58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*k - 100, -k = 3*z - 3*k - 162. Let s = 44 - z. Let g be (s\/3 + 0)\/7. Are -2 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.132395 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 161.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5697, 11406, 17123, 22854, 28605, 34382, 40191, 46038?\nAnswer: 51929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 23812*u = 23814*u + 56, 2*u = 5*q + 88 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -679.921 + 29.521. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:45 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 239*-0.013\nAnswer: -3.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**5 - o**3 - o + 1. Let w(c) = 2*c**5 + 17*c**4 + 24*c**3 + 11*c**2 + 5*c - 3. Let y(l) = -3*m(l) - w(l). Factor y(a).\nAnswer: -a*(a + 1)**3*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 165 = 8*g + 30 + 117 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(6195200\/(-80))*(2*-2)\/(-2)\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/66)\/(3*(-2)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-159)\/12*-2*(-1 + -1). Let k = d - -69. Suppose f - 2*f + 36 = -b, -3*f - 4*b = -108. What is the lowest common multiple of k and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5968)\/14 + (-10)\/(-35). Let x = 1639 + o. Let h = -2473\/2 + x. What is the common denominator of -20\/7 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 32 = -3*q - 3*u, 12 = 3*u. Solve -q*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 1, g: 5, s: 4, c: 6, o: 3}. What is prob of picking 1 r and 3 s?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert d08 (base 14) to base 11.\nAnswer: 1a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/132 - (-238)\/12. Calculate the greatest common factor of d and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p. Let h be 28\/6 - 1\/(-3). Suppose 5 = -p*k + h*k. Let r(u) = 2*u - 2. Let v(s) = -s**3 - s + 1. Give k*r(o) + 2*v(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 216 = 3*g - 1865. What is the greatest common divisor of g and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 294 - 283 = 4*i - 7*d, -180 = -24*i + d + 3*d for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/34558 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 9}. Give prob of sequence lccc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -5, -4.\nAnswer: -6, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u + 9. Let x(h) = -23*h + 11. Determine -6*m(j) + 5*x(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 3*z**2 + 5*z - 3. Let o be a(4). Let j be (-3)\/(-1)*(-4)\/(-6). Suppose -o - j = -r. Solve -4 = -r*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 13. Let z(y) = -9*y + 47. Let l be z(6). Determine b(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115276 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/8)\/(5\/7080*3). Let n = -143 - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 168 = -4*y. Let v = y + -46. Let h = -9 - -11. Put v, -3, h in ascending order.\nAnswer: v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/15*(-45)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 8*i + 80 = 0. Put i, -54, -3 in ascending order.\nAnswer: -54, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/105 - 3*d**6\/40 + 73*d**5\/60 - 3*d**2 - 2*d. What is the third derivative of w(n) wrt n?\nAnswer: -48*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520138?\nAnswer: 2, 163, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28549, -28744, -28939?\n\"Answer: -195*y - 28354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 146202135.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 9*b + 2. Let d = -5 - -8. Suppose 0 = d*r + 8 + 13. Let u be l(r). Calculate the highest common factor of u and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 - 2*q. Let m(y) = y**3 - 10*y**2 - 12*y + 11. Let u be m(11). Let l = 2 + u. Let d be r(l). Solve d*s - 4*s + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -1, 6, -0.7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4387823 is divided by 336?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83603435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2 - 6*u + 4 + 2 - 8*u**2. Let v(p) = -p**2 - p + 1. Let m = 5 - 1. Suppose m*t - 5 = -t. Give t*j(i) - 6*v(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17701553 is divided by 5900514.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 11*d = -12*d. Sort d, 2, 3, -4 in decreasing order.\nAnswer: 3, 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.734 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15344897 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 2798926*z**2 + 218314876*z\/3.\nAnswer: 2*z*(z + 26)*(z + 4198363)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12304, 14477, 18088, 23131, 29600, 37489?\n\"Answer: -k**3 + 725*k**2 + 5*k + 11575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < -5.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxusspu. Give prob of picking 1 u and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -223?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12383 + -7112. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 4\/9, 0.147, -0.4, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 56*n**2 - n. Let z(u) = 7106 + 7102 + u**2 - 14208. Determine i(z(c)).\nAnswer: 56*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-12) + -4)*-8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55 - -27004) + (-7)\/((-21)\/(-30)). What is the highest common divisor of 62 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*k + 209*k + 77572. Is k a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(-10*z + 4*z + 2*z)*((-2*z + 5*z - z)*(-2*z**2 + 2*z**2 - 2*z**2) + 0*z**3 + z**3 - 3*z**3 + 13*z**3 + z**3 - 10*z**3).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.8087 greater than -680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4808 + 9444. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10984?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 2973. Suppose 3356 + p = 3*t. Is t\/45 - 2\/10 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12521?\nAnswer: -12521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from mjxymdaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -331*y + 327*y + 23228, -y = h - 5805. Does 92 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -21, -25, -25, -21, -13, -1?\n\"Answer: 2*n**2 - 14*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - 2*i - 22. Let b(l) = 9*l**2 + 6*l + 67. Let w(n) = 11*a(n) + 4*b(n). List the prime factors of w(9).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.284369724 rounded to 2 dps?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 1775, 3894, 6849, 10634, 15243?\nAnswer: 20670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 7. Let u(w) = -3*w**2 - 109. Give c(u(y)).\nAnswer: 9*y**2 + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*a + 20, -188*o + 388*o - 199*o + a = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272 or -27073\/99?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 2, -2\/3, 3, -19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39255.0054587 + 39255. Round t to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 163, 243, 325, 409, 495, 583?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 5*t**7\/21 + t**6\/15 - t**3\/2 - 10*t - 1. Find the second derivative of s(f) wrt f.\nAnswer: 200*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186, -191, -196?\n\"Answer: -5*p - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*g - 2*g - 6, -2*m + 5*g = -14. Factor -5*z**4 + z**5 + m*z**2 - 2*z**4 + 5*z**4 - z.\nAnswer: z*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -1 (c) -30\/37 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1297 + 33 - 115)*(-r + 3*r + r)*(-r - 2*r + 5*r + (r + 25*r - 3*r)*(0 + 4 - 2)) as z + y*r**2 + a*r and give y.\nAnswer: 174960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 2*w**5 + w**5 + 2*w**5 + 2*w - 2*w + (3*w**4 - 2*w**4 + w**4)*(-w - 2*w + w) + 0 - 3*w**5 + 0.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 49329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (67 - 69) + 5 + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -22904*z + 22909*z + 140, 2*r + 6*z - 2*z = -86 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.32 + -33.48. Let d = -35 - c. What is the closest to -0.2 in d, 2, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:47 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12336482.\nAnswer: 2, 79, 78079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/13)*j*((j**(-1)*j)\/j)\/j*j)\/(j**(-6)*j*j*j**0*j) assuming j is positive.\nAnswer: j**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 2. Let z be (-2)\/(-5) - (-46)\/10. Let i be r(z). Suppose -4*w + i = -1. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(605) + 0 + sqrt(605) + -1)*5*2)**2.\nAnswer: 17600*sqrt(5) + 968400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h. Let s(v) be the second derivative of -v**7\/2520 - 49*v**4\/12 + v**2 - 131*v. Let q(n) be the third derivative of s(n). What is q(i(g))?\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 - 16*i - 26. Let r be c(-5). Which is bigger: -98 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5312310 (base 6) to base 16.\nAnswer: 3f192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 135.2. Let w = f + -27. Let x = w + 1.1. Which is bigger: 2\/37 or x?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 9*b - 7. Give k(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92043.\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268982.513 + -316652.8456. Let c = 46910.42 + i. Let t = -760 - c. What is t rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1344273431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3320.1 + 3320. Let m be (4\/8*2)\/(-2). What is the third biggest value in -1, 6, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/13)*m)\/m)\/m**(2\/3)*(m**2)**47)**(-5\/6) assuming m is positive.\nAnswer: m**(-18425\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 3*g - 5, 9 = 5*u + g. Let i = -2 - -6. Which is the closest to -1? (a) i (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1\/3, -12483772?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2966 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49 - 9\/5*d**2 + 21\/5*d - 1\/5*d**3.\nAnswer: -(d - 5)*(d + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.104, -0.2, -1, -4 in descending order.\nAnswer: -0.104, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + -174.18. Let j = q - -173.98. What is the second biggest value in 3, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(48) - ((1*sqrt(10))\/sqrt(2))**2) + (-5 + sqrt(5) + sqrt(5) + sqrt(20)\/sqrt(4))**2*-4)*1.\nAnswer: -285 + 481*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324623?\nAnswer: 3, 17, 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5869 + -4679. Does 34 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 times -45455?\nAnswer: -31000310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose 2*c - o - 22 = t, 4*c - 3*o = 50. Let b be 1\/(-2) - (-21)\/c. Solve b = -3*i + 3*d - 2, 2*i + 2 = -4*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324123 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + k + 1. Let b be s(-1). Suppose 0*q - b = -2*q. Suppose q*l - 237 = -i, -2*l + 160 - 44 = -2*i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449378547?\nAnswer: 3, 149792849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.512 - -0.5. Let n = r - 0.188. Let h = n - -0.2. Which is bigger: h or 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*o + 2*c, -4*o - 2 = 4*c - 38. Solve -4*p + v - 16 = -p, -o*v - 20 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 10944?\nAnswer: 142272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(1\/4)\/d)**(-6))**(1\/35))**(-1\/56))**(-9\/10) assuming d is positive.\nAnswer: d**(81\/39200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45995.\nAnswer: 5, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 3 + 3)*(0 + 0 + 5*g) - g**2 + 2*g**2 - 3*g**2.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-96))\/1*(586278\/(-756))\/517?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3867298 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**4 + 11*y**3 - 13*y**2 + 3*y. Let s(b) = 6*b**4 + 32*b**3 - 38*b**2 + 8*b. Let q(j) = 8*d(j) - 3*s(j). Factor q(f).\nAnswer: -2*f**2*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 3*q**3 + 0*q**2)*(3*q**2 + 4*q - 3*q - 7*q**2).\nAnswer: -12*q**5 + 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/21 - 52*y**4\/21 + 14*y**3 - 548*y**2\/21 + 304*y\/21 = 0.\nAnswer: 0, 1, 2, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13032 + 12?\nAnswer: -13020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573680 by -8080.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f + 6. Let w be 4 - (5 + -1 + 0). Determine l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -46*c**6\/3 - c**5\/20 + c**4\/3 - c**3\/6 + 53*c**2 + 2107*c. What is the third derivative of j(n) wrt n?\nAnswer: -11040*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + w = -73, -15*u - 67 = -11*u + 3*w for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168786977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (88\/20)\/((-17)\/(-5) + -3). Let h be t\/1 + -5 + -1. Solve -h = 2*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 369, -3811, -10755, -20445, -32863?\n\"Answer: 3*d**3 - 1400*d**2 - d + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 - 12*b**3 + 25*b**2 + 528*b + 1989\/2.\nAnswer: (b - 17)*(b - 13)*(b + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -4*l + 3*l**2 + 1\/4*l**4 + 4 + 7\/3*l**3. What are the prime factors of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 5628*v + 84 + 5627*v - 11257*v - 385*v**5 wrt v?\nAnswer: -7700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15289091.11 to the nearest ten thousand.\nAnswer: -15290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 840\/(-350)*(-105)\/147?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11*x**(-11)*(x**(1\/4))**(6\/11))**(-5) assuming x is positive.\nAnswer: x**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*d = 143*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4926 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2776750 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -30695446?\nAnswer: -30695438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3\/3 + d. Let c(x) = x + 5. Let r be c(0). Let m(b) = -r*b + 6*b + 0*b. What is o(m(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 420*d + 221. Is b(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033 + 1984 + (81 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 + 68*n**3 - 18*n**2 + 2*n - 15 wrt n.\nAnswer: -240*n**2 + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - x - 1. Let a(h) = -2*h**3 + 9*h**2 + 2*h + 651. Determine -a(g) - 2*u(g).\nAnswer: 2*g**3 - g**2 - 649","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7608722 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**4\/8 + 71*y**3\/6 - 4*y**2 - 1. What is s(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 2*f**2 + 4*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110395294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*f**2 + 1\/5*f + 1\/5*f**3 + 6\/5 = 0. Calculate f.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2 + 67886. Let k(w) = 18*w + 6. Let z(y) = -1. Let j(b) = k(b) + 6*z(b). Give j(m(h)).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 1, m: 6, y: 2, p: 3}. Give prob of sequence vopp.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-2)\/(-63)*-3). Suppose -3*i + a = -3*n, -n = 5*i + 2*n - 51. What is the tens digit of (12\/6)\/(1\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**2 + 43. Let f(o) = 21 - 4*o**2 - 26*o + 52*o - 26*o. Let r(a) = 13*f(a) - 6*t(a). Differentiate r(w) with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248559051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -40112.885582944.\nAnswer: -40113.185582944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, a: 5}. What is prob of sequence ssaa?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 4 - 4*c + 20 + 10 - 29*c**2. Let x(j) = 14*j**2 + 3*j - 17. Let k(h) = -3*t(h) - 7*x(h). What is the first derivative of k(f) wrt f?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8826636 - 3?\nAnswer: 8826633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.21 - -118.01. Let l = 109 - x. What is the nearest to 2 in l, -3\/7, 4\/3, -7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*j - 7*j + 293*j.\nAnswer: 550*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18*f*f\/(f*f**(-2\/5)*f*f*f))\/(f**(1\/42)\/f**(-1\/2)) assuming f is positive.\nAnswer: f**(1667\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 12 - (-3 + 2)) + 3 + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*w - 6526, 40 = -4*w + 32. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Let j(u) = 15*u - 4*u - 4*u - 1 - 8*u. Let y(w) = 2*w + 1. Let o(x) = -3*j(x) - 2*y(x). Determine -2*m(g) - 3*o(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.07, -0.06, 0 in decreasing order.\nAnswer: 27, 0, -0.06, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38253\/380 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.342 and -10?\nAnswer: -43.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/6 + -11\/3. What is the closest to 0.1 in -0.2, r, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 253365*g - 1013508.\nAnswer: 3*(g - 4)*(g + 84459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*n + 4*n - 4 = 0, -n = 0. Solve 3*g = 2*c, -a*c = -2*g - 4*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043483 less than 2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98836864 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6 + 6. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let p = -1 - -0.8. Let s = p + 0.1. Do s and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13400 and 90584?\nAnswer: 2264600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2017 = 13*b + 535. What is the remainder when b is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3370 + -3372. Suppose -4*x = 3*k + 3, -2*x - 2*k + 1 = 3. Put -5, 4, o, x in increasing order.\nAnswer: -5, o, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. What is the units digit of 36 - ((-3)\/i + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:33 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106595682 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-3*sqrt(931)*4 + 5.\nAnswer: -420*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7133.318cm?\nAnswer: 71.33318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + -53. Let a be z\/(-77)*7\/3. Is 4 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 31*g**2 - 27*g + 19. Determine u(-32).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50882261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Suppose r - c = -2*r. Suppose 8 = p - r. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681499?\nAnswer: 3681499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 + 697\/123)*(-42)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*o**4 - 1 + (0*o**2 + o**2 + 0*o**2)*(2 - 1 - 3)*(-o**2 + 2*o**2 + o**2).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 324 and -322623.627.\nAnswer: -322299.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**3 + 0 + 1\/6*n**5 + 1\/2*n**4 + 0*n - 2\/3*n**2.\nAnswer: n**2*(n - 1)*(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154.562 + -1.438. What is the third biggest value in u, 3, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w + 2. Suppose 5*k - 3*y - 73 + 60 = 0, y - 19 = -3*k. Calculate the remainder when x(4) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236079?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -75035 and -74943 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-1) - (-464)\/256 and 81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 - w. Let g be k(1). What is the units digit of (-312)\/g - 2\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**6\/45 - 56*y**5\/15 + 1045*y**4\/6 + 112*y**3\/9 - 3136*y**2\/3 + 329*y. Suppose a(j) = 0. Calculate j.\nAnswer: -1, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*g - 50*g + 118. Let t = g + -8. What is the greatest common factor of 275 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 8 - (-9578 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0446, -1\/7, 26, 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12197 is divided by 2364?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26775 and 24039225?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/9 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 178796 and -459617.0634.\nAnswer: -280821.0634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 37*z**3 - 16*z**3 + 0*z**2 + 4*z - 18*z**3 in the form y*z + u*z**2 + a*z**3 + k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 3, m: 3, v: 1, p: 5}. Give prob of sequence pw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-253)\/((-4717185)\/791)*(-36)\/(-14)?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*z - 23538 - 37463 + 6681. Calculate the remainder when 2245 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*u + 56 - 59, -3 = -b + 2*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 + 9 = 0. Suppose 8 = 2*i + g. List the prime factors of ((-1)\/i)\/(-1)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5021 - 1188. Is 71 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7492137*v**2*x**3 - 48*v**2 + 12063*x**2 wrt x?\nAnswer: 44952822*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-12556.0807.\nAnswer: 50224.3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 46 = m, 403*u - 3*m - 48 = 398*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 14*l - 23. Let u be c(-2). Suppose 0 = -u*o - 5*o + 44. Solve -o*i = 4*v + 12, 0*i + 5*v + 12 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12013442 (base 6) to base 13\nAnswer: -101b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**4 - c**3 + c - 1. Let p(h) = 20*h**4 + 2*h**3 - 2*h + 22. Let s(g) = 2*f(g) + p(g). What is the derivative of s(n) wrt n?\nAnswer: 88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 - 45*a**3 + 60*a**2 + 400*a - 960 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**2\/2 - 2*m - 28. Suppose -2 = -i + 2*w - 0*w, -i - 4*w = 22. Let u be o(i). Solve -u*x = -5 + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.158 - 2.1686. Let q = 11 - x. What is q rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 91 = -7*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5\/12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18129393?\nAnswer: 3, 757, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 9:30 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -661?\nAnswer: -7\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/25, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 36 = -20*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77066*y + 10 = 77068*y. Let d(t) = t**2 + 4*t - 5. Let u(x) = -x**2 - 3*x + 4. Let l(v) = 2*d(v) + 3*u(v). Let r be l(0). Solve -r*p - y = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39354 = -83*q + 39022 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5486 + 393. Let m = -10019 + u. Round m to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15049 and 197051?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 2 x when four letters picked without replacement from qxnxqbxqqxqdvxvq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/o)**(-10)\/(o\/o**0*o)**(-18\/5) assuming o is positive.\nAnswer: o**(186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 plus -29.712325362?\nAnswer: 708.287674638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.753 + 4.7374. Let j = 186539.115599621 + -186539.1. Let q = j + z. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 0.04, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 2, f: 9, n: 3, u: 2}. Give prob of sequence nqcq.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 2*y - 3. Let t be n(3). Suppose 0*r - 3*r + 39 = t. Let x(u) = u**3 - 8*u**2 + 9*u + 10. Calculate the remainder when x(7) is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/2 - 2*n**2. Let y be (-28)\/8 - -4 - (-102)\/(-12). Does 24 divide r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002205 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 316\/16. Let v(x) = -x + 3. Let z be v(-7). What is the highest common divisor of k and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-56))\/((-7)\/420)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**25*r*r\/(r\/((r*r**(1\/54))\/r*r)*r))\/(r**28\/r**(-3\/13)) assuming r is positive.\nAnswer: r**(-1553\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 + 6*z**2 + 3 - 2*z**2 + 0. Let s be f(0). Let u be (-15)\/(s\/(-1 + 0)). Solve -d = 2*n, 0 = 5*d + u*n + 5 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*o**3 + 31*o**3 + 17*o**3 + 0*o**3 + 5*o**3 - 2*o**3 + (o + 3 - 3)*(2*o**2 - 3 - 3 + 5).\nAnswer: 101*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471152*0.1.\nAnswer: 47115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/15*-4 - (-213086)\/6) + 0 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652841214 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from azvzrfzeava.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {q: 5, b: 1, i: 1, k: 3, m: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**7\/3 + 11*z**4\/6 + 4*z - 19. Let t(y) be the first derivative of o(y). What is the third derivative of t(u) wrt u?\nAnswer: -840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 10*f**2 + 24*f - 56. Let l be b(8). Solve l*j = -0*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*p**3 + 2*k**2 + 6*k*p**3 - 7*p**2 + 14*p + 2 wrt p?\nAnswer: -12*k**2*p + 36*k*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55126, 220622, 496602, 883192, 1380518, 1988706, 2707882, 3538172?\n\"Answer: 21*m**3 + 55116*m**2 + m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/7)\/((-10)\/70). Solve -5*c + 4 = 3*n, c + 16 = -n + t*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1084 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 9*b + 1. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7238 (base 9) in base 10?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 1097*k + 68 - 30.\nAnswer: 1097*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -726 + 733. Let p = 2 - 7. Let h = p - -7. Solve h*a = 3*n + 7, 0*a = -n + 3*a + r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5932712 - -0.079?\nAnswer: -5932711.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyyygy. What is prob of sequence ygg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b - -861?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -1. Let k = r + 8. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -5. Let s = p + 8.07036. Let h = -0.07 + s. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s\/(s\/s**(-1\/2)))\/s))**(-47)\/(s**(1\/2))**(-1\/7)*s**(-2\/9)*s**(-6)*(s**1)**40 assuming s is positive.\nAnswer: s**(-8231\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + a + 232, 0 = -3*r + r - 2*a + 472. Let n = 631 - r. List the prime factors of n.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -12. Let l(o) be the first derivative of o**3 - 9*o**2\/2 - 7*o - 2. Let f be l(w). Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*w - 4*w, -2*w + 20 = 3*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 206*m**2 + 12796*m + 212. Determine k(50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -23639 not equal to -23779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*r - 43, -5*r - y - 3 = 36. Let x = r - -15. Calculate the smallest common multiple of x and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 12*l**2 + 48755752*l + 16251916 = 0?\nAnswer: -4062979, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 187487608.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*r - 11*r + 18*r)*(r**2 + 3*r**2 - 3*r**2) - 30*r**3 + 10 - 10 + 11*r - 11*r - 4*r**3 to the form g*r + h + j*r**2 + f*r**3 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-12)\/(-14) + -1). Let m(b) = 3*b**2 + 23*b - 8. Let h be m(-8). Suppose -23*t + 44*t - 168 = h. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (10 - 17)) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 109293 (b) 0.21 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = -a + 5, -4*a + 64 = 5*o. Suppose a + 5 = v - 5*b, -5*v + 5*b + 65 = 0. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n + 32. Calculate the least common multiple of (12\/(-20)*2)\/((-1)\/10) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1072)\/32 + 27 + (-143)\/22\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 + 5*j - 9. Let u(a) = -9*a**2 - 3*a + 5. Calculate 4*t(w) + 7*u(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -44 (b) -2\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 1274*u**2\/5 - 528712*u\/5 + 166 = 0.\nAnswer: 1\/637, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 211*u + 169*u - 9120. Solve 13*s = 10*s - 3*r + u, 0 = -3*s - 5*r + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 18}. What is prob of sequence jp?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42)\/(1*12\/8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24265 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 3*p**2 - 4*p**2 + (-2*p + 1 - 1)*(-4*p + 3*p + 2*p) - 4*p**2 + 3*p**2 - p**2 + p**2 + 3*p**2 - 2*p**2 + 28 - 17*p**2 - 28.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14120519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -85*v**3\/6 + 236*v**2 + 12*v + 22. Find the first derivative of n(a) wrt a.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*3*sqrt(448).\nAnswer: 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2*(-11 + 2478\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204844522?\nAnswer: 2, 307, 333623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(192) + (-5 + (sqrt(192) - 1*sqrt(192)))**2 + (sqrt(192) - (0 + sqrt(192) - sqrt(192)))*2.\nAnswer: 20 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*n + 39*n - 30 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1073\/23606*(-1)\/2?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 195179501 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -60, -89, -138, -213, -320?\n\"Answer: -k**3 - k**2 - 5*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {w: 2, p: 5, v: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 54*c + 670. Give g(-42).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -171*d + 10 + 88*d + 94*d + d**2. What is m(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3266862.\nAnswer: 2, 3, 544477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**4 - 332061280*u**3 - 14*u - 19710604.\nAnswer: -24*u**2 - 1992367680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by -4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 0 = -474*z + 490*z. Sort 3, -7, 2, z, 20.\nAnswer: -7, z, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 4*o - 2*g - 24 = 2*g. Suppose 2*t - o = -p, 0 = -4*t - 0*t - 4*p + 20. Put t, 4, -4 in decreasing order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -139*p - 4. Suppose 6*x - x + 5 = 0. Is 15 a factor of r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-9 - -10) + -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a - 45*a + 710 = 0. Let g be 2 - (294\/180 + a\/(-12)). Suppose -32\/5 + 1\/5*u**3 + 0*u + g*u**2 = 0. Calculate u.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 34 = 4*a - 11, -5*o = -4*a - 5. Suppose -13 = -5*n - 2*h, 6*h + 1 = 5*h. Find the third derivative of l**4 + o*l**4 + n*l**2 - 5*l**4 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j**2 - 339*j**3 + 27*j**2 + 19*j**2.\nAnswer: -339*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 28944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5.5 (b) -581\/24 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 3*x**2 + 3*x + 1. Let z be i(-4). Let g(b) = 6 - 12 + z + 212*b**3. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) + 3 + -1. Let s = 58 + -97. Let n = s - -38.6. Sort k, n, -7.\nAnswer: -7, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-1)\/34*3). Suppose -a - a + 34 = 0. What is the highest common divisor of u and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -28, 0.2, -0.4, 2\/3, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 + 0*i**3 + 30*i + 5\/14*i**8 - 13\/6*i**4 + 0*i**5 + 0*i**2 + 0*i**6 + 0*i**7. Find the third derivative of k(j) wrt j.\nAnswer: 2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/10)\/(26\/(-130)). Suppose r*j - 144000 = -j. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = c. Suppose 2*i + c*b - 18 = -i, 0 = -5*i - 3*b + 19. Let f be (2\/(-6))\/((-1)\/9). Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 + -96. Suppose -6*s + 15950 = 5*s. Suppose 21*o - s = -484. Calculate the remainder when p is divided by o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929893 is divided by 4349?\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 + 6.9. Let k = -4 + r. Which is greater: -0.3 or k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2\/169, 1\/2, -2, -3\/40, -5?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x + 2*x**3 - 8*x**2 - x**2 - 5*x + 3 as d + u*x**2 + i*x**3 + v*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*j - 454*j - 50*l = 454*j - 62, 0 = -5*j - l - 155 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/18 and -17\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*d**3 - 22*d**2*p**2 + 84*d*p + p**2 wrt d.\nAnswer: 390*d - 44*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 910093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m**4\/m*m*m))\/m)\/(m**(7\/5)*m))\/(m**(-6)*m\/m**(-3\/4)) assuming m is positive.\nAnswer: m**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*u**2 + 0*u - 159 + 159 - u wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -318, -612, -882, -1122, -1326, -1488, -1602, -1662?\n\"Answer: k**3 + 6*k**2 - 319*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -664 + 660. Which is the closest to -1? (a) 4\/9 (b) j (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-54) + 2\/(-4). Suppose j - l - 517 = q, -2*j + 20 = 4*l - 1014. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 19. Sort 0.8, h, 0.1 in descending order.\nAnswer: 0.8, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let n be 4\/(-6) - z\/(-3). Suppose -25*r + 3*d = -27*r - 22, 0 = 3*r + 3*d + 27. Which is the nearest to 0.1? (a) r (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let t = -7607\/5 + 1516. Let r = -103\/20 - t. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117114 - 2?\nAnswer: -117116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-206)\/14 - -3) + 12. What is the nearest to -2\/7 in -0.06, h, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1760399, -3520797, -5281195, -7041593, -8801991, -10562389?\nAnswer: -12322787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 4 = i. Solve 0 = -5*u + 10, u = 3*t - u + i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l + 20. Suppose 4*r + 1 - 29 = -4*t, -2*r + l = 3*t. Solve -4*h = 5*f - 9*h, t = 5*f + h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:24 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -710 + 5\/4*j**2 - 705\/2*j.\nAnswer: 5*(j - 284)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*h)*(-6727*h - 456*h**2 + 6727*h)*(0*h - 5*h + 4*h) to the form m + u*h**2 + k*h**3 + t*h**4 + q*h and give t.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 60 = 4*x, -5*x = -21*t + 19*t - 110. Solve -x = 6*u - 11*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10 - (18\/(-5) + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/2 - 13*d**3 - 120*d**2 - 448*d - 512 = 0?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 5*w**4 + 2*w**2)*(-3 + 3 - 3*w) + w**5 - 3*w**5 + 0*w**5 - 2*w**2 - 4*w**5 + 2*w**2 + (-w**3 - 3*w**3 + 6*w**3)*(0 + 0 + w**2).\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/196)\/((-595)\/145775)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from nnsnssnnsnns?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2) + -1 + -1 + sqrt(2)*2.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - 15. Let x = d + 32. Let m be ((-8)\/(-10))\/(6\/15). Solve -x = -m*s - p, 3*s = s + 4*p + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, -59, -180, -265, -302, -279?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35*u**2 - 6*u + 6. Let g(x) = 507*x**2 + 92*x - 97. Let f(n) = -29151*n**2 - 5289*n + 5576. Let t(h) = -5*f(h) - 287*g(h). What is 41*c(j) + 6*t(j)?\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 30. Solve -4*c + 3*b + 13 = 2*b, -4*c + 1 = -g*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*p + 2*i, 3*p - p + 3*i - 46 = 0. Let z be ((-22)\/(-55))\/(1\/p). What is the units digit of (10 + z)\/(0 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1797495 and 104\/169575.\nAnswer: 8987475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3310246 (base 13) to base 3\nAnswer: -1002101202002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 42*t - 12. Let g be h(-19). Let j = g + -52. Suppose -409*z**2 - j*z**3 + 417*z**2 + 6*z**4 - 26*z**4 = 0. Calculate z.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -12. Suppose -f*q - 18 = -0*q. Let k = 20 + q. Calculate the highest common factor of k and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(4 + -3)\/2. Let s(z) = -10*z**2 - 6*z + 5. Let q(b) = -29*b**2 - 17*b + 14. Let w(k) = u*q(k) + 11*s(k). Give w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476*b = 1527*b. Sort -9, 5, b, -41 in ascending order.\nAnswer: -41, -9, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14 - 5 - 25 + 12 + 807*o. Is t(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 - 123*l**3 - 7839*l**2 - 115089*l - 527280 = 0.\nAnswer: -13, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/180 + g**4\/36 + g**3\/18 - 2*g**2. Determine w so that f(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8414.1 + 8414. What is the nearest to 71 in 20, -0.2, l?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 315160861585\/164418 - 703202654\/409. Let w = -197505 + g. What is the common denominator of w and 41\/12?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*n - 67 = -7, 0 = 2*f - 2*n - 64. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 21*q = -l + 7, -14 = 4*l + 2*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123393 - 268114 + 2*r**3 + 2*r + 21263 + 3*r**2 - 8*r.\nAnswer: 2*r**3 + 3*r**2 - 6*r - 370244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 634 - 619. Suppose i = -3*m - 2*m + 3, 4*i = 4*m + 12. What is the third biggest value in p, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2*x - 2*x)*(-2*x - x - 2*x)*(-x + x + 2*x + (-5*x + x + x)*(4 + 1 + 0))*(1 - 5 + 2).\nAnswer: -260*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 1.1. Let k = -0.5 + u. Sort k, 5\/6, 5.\nAnswer: k, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779179125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2878207?\nAnswer: 1\/2878207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25742, -51552, -77364, -103178, -128994?\n\"Answer: -u**2 - 25807*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/112439 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**7\/420 - h**6\/60 + h**5\/40 + h**4\/12 - h**3\/3 - 15*h**2. Factor g(i).\nAnswer: (i - 2)**2*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -24*u + 45. Let j(v) be the first derivative of 5*v**2\/2 - 9*v + 12. Let l(o) = 2*c(o) + 11*j(o). What is the first derivative of l(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/120 - 43*m**4\/24 - 429*m**3\/4 - 9074*m**2. Suppose d(y) = 0. What is y?\nAnswer: -13, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916819?\nAnswer: 523, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. Suppose -2*h + 3*h + 3*o = 14, 2*h + 4 = i*o. Suppose 2 + h = m. Solve x - 2*x + 2 = -5*u, -5*u - 8 = -m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-2*6.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -7584\/245?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5) + 3 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 711*s + 4579. Calculate h(-9).\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*o = 330, -4*x + 2*o + 338 = 3*o. What is the remainder when x is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**5 - 4*o**2 + 12*o**2 + 0*o**5 - 11*o**5 wrt o.\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813979745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*u**3 - 30*u**2 + 59*u**2 - 32*u**2)*(6*u - 2*u - 5*u) in the form v*u + g*u**2 + b*u**3 + i*u**4 + s and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 21 = s, 2*s - 6*s = -2*v - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(-6)\/(((x\/x**(-1\/4))\/x)\/((x\/(x**(-1\/2)*x)*x)\/x)) assuming x is positive.\nAnswer: x**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.1 (b) -1\/6 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178942375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30023 (base 4) to base 13\nAnswer: 47c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.844, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -551 - -557. Suppose 0 = -p*v + 2166 + 2904. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -638 (base 16) in base 15?\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - -103)\/7*(-1 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -20. Suppose -3*q - 2*v + m = -1, -4*q + 3*v = -55. Calculate the least common multiple of q and -4*((-15)\/(-6))\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 + 15.2. What is the biggest value in -0.08, g, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -589 - -1766\/3. Which is the nearest to v? (a) -21 (b) 2 (c) -3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -4 + sqrt(1300)*5 + -5)*-3.\nAnswer: -150*sqrt(13) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -529 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2795 times 72?\nAnswer: 236.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*g = -833*g + 1315 - 6545 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 355 = 206. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*k = 1, 3*k - 15 - 16 = -4*d. Suppose 4*a - 1 + 7 = 5*v, -4*v = -d*a - 4. Suppose -r - 12 = v*r, 0 = -3*b - r + 134. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1322.2 in 4, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 15. Suppose -25 - 3 = -2*v. Let i be j(v). Let k(d) = d. Let w(x) = -3*x - 1. Determine i*w(r) - 4*k(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431960.\nAnswer: 2, 5, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10933, -43752, -98463, -175078, -273609, -394068, -536467, -700818?\nAnswer: -887133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*y - 160 = 0, 2*m - 227 + 92 = -3*y. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1330?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/4 - 20*s**3\/3 - 8*s**2 - 4. Let f = -4 + -1. Let o(u) = 7*u**2 - 20. Let h(j) = f*o(j) + 2*q(j). Factor h(t).\nAnswer: -5*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8302\/9 or -921?\nAnswer: -8302\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114\/7*u - 3\/7*u**4 + 9 + 18\/7*u**3 + 36\/7*u**2 = 0. Calculate u.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 29261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14493 or 188398\/13?\nAnswer: 188398\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:05 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -56. Let p = s + 7. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)**25*(j\/j**(1\/6))**7)**(-47))**33 assuming j is positive.\nAnswer: j**(-250745\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10\/11)\/i**(6\/23)*i*(i*i**(-3))\/i*i**33 assuming i is positive.\nAnswer: i**(7547\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*x**3 + g**3*x**2 - 65*g**3*x - 61479*g**2*x**3 + 9*g + x**3 - 5*x**2 wrt x.\nAnswer: -12*g**3 - 368874*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22593\/4 - 5648. What is the closest to s in 2\/7, -3\/2, 0.1, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 180. What is the smallest common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 673977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {w: 3, o: 1, m: 4, t: 2, p: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438539 by 63.\nAnswer: -438539\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (351\/26)\/27*206. Let v be (-814)\/(-8) - (-2)\/8. Let m = v - r. Are m and -1\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + (-234)\/15. Let g be (-74)\/(-8) - (-4)\/p. Factor -6*n**2 + 2 - 9*n + g*n**2 + 4*n**2.\nAnswer: (n - 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.64 + 4.54. Suppose -2 = 3*q + 4*s - 3, -q - 5*s = -4. Which is the nearest to -1? (a) 9 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 412200012. Let x be r\/6 + (-16)\/(-24). What is x rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -464\nAnswer: 20416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4752 - -1.4744617. What is p rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1419\/(-715) + 2)*64\/((-4096)\/160).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, 0.06, -1\/2, -9?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2056 = -4*k, -8248 = 9*a - 13*a - 4*k. Let f be a\/408 - (-1 + 6). What is the smallest value in 1\/7, f, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22114 (base 5) to base 3\nAnswer: -2002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 - 11*v + 21. Let h be z(3). Solve 0 = -h*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217740 is divided by 12806.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 31*s**2 + 66*s + 72. What is the hundreds digit of r(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myvmmvmmymvmmvynyv. What is prob of picking 1 y and 2 v?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.5432 milliseconds in seconds?\nAnswer: 0.0285432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 339228 from 0.5.\nAnswer: -339227.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 plus -1948.6491?\nAnswer: -2002.6491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301181086 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-2 + 7) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*r - 5*n, 4*r - 3*r - 10 = -2*n. Solve w - q = -3, -r = 4*w - 3*q - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(-6*g - 6 + 6)*(2 - 2 + 2)*(4*g - 18 + 18).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 21 = 2*d - 5*d, 5*a = d - 27 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 27 + (-21)\/3 - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 80.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -325344?\nAnswer: 325344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 1 + 4*f**2 - 2 - 2*f - 3*f**3 + 3*f**2. Let x(p) = -p**3 + 8*p**2 - 3*p - 1. Let j(g) = -3*o(g) + 2*x(g). Suppose z - 10 = -z. Give j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/1680 - v**6\/180 - v**5\/60 + v**3\/3 - v**2. Let j(k) be the first derivative of a(k). Factor j(q).\nAnswer: -q*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.682\nAnswer: 0.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -34*f**4\/3 + 203*f + 1. Let i(d) = -2*d**2. Calculate i(v(w)).\nAnswer: -36992*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*p - 16, -d + 3*p + 5 = 1. Solve 0 = -6*n + d*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6466716.\nAnswer: 2, 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v**3)\/(v\/v**(-1))**(-5\/7) assuming v is positive.\nAnswer: v**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 713, 1062, 1409, 1754, 2097?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3)*n*n*n**(3\/2))\/(((n**(5\/4)\/n)\/n)\/(n*n**(-2\/23)\/n)) assuming n is positive.\nAnswer: n**(199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-44)\/8 + 3) + (-96)\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/5)\/(t**(-1\/62)\/t))**(-6) assuming t is positive.\nAnswer: t**(-3177\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1370 and 3580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/(-3*sqrt(3) - sqrt(3)).\nAnswer: -sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -106064336 (base 7) in base 5?\nAnswer: -3130033042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12230002331212 - 11?\nAnswer: -12230002331223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 9. Let v(g) = g**2 + 5*g + 5. Let b be v(-5). Suppose 4*z + 5*d = -3, 3 - j = -2*z + b*d. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000871 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -7*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4300891 is divided by 1453.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30233 by -617.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y - 2192 = 47*y + 10*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o**2 + 26*o**2 + 8596*o**3 + 31*o**2 - 96*o**2.\nAnswer: 8596*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -1444, -2704, -3948, -5170, -6364, -7524, -8644?\nAnswer: -9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1291*f**2 - 128*f + 1212. Let z(n) = -1290*n**2 - 160*n + 1213. Let t(h) = 5*k(h) - 4*z(h). Differentiate t(x) wrt x.\nAnswer: -2590*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 13\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(704)*2*-4 + (3 + (sqrt(55) - sqrt(165)\/sqrt(27))\/sqrt(5))**2.\nAnswer: -380*sqrt(11) + 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 81. Let b(k) = 21*k**2 - 3*k + 2. Let c be b(1). Suppose -7 - 8 = 5*a, c = w - 2*a. What is the remainder when x is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*d + d + 4*d)*(-3 + 6*d + 3) + (108*d - 9*d + 51*d)*(1 - d - 1) in the form p + i*d + m*d**2 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/7))\/x**(1\/6)*(x\/x**(-7))\/x**(-8) assuming x is positive.\nAnswer: x**(695\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -102 - (15 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-49068)\/300*-5 + 2\/10. Solve 0 = 10*a + y - 897 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -156057814 from -5.\nAnswer: 156057809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-5510))\/((-904)\/6554).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u - 7*u - 9*u + 2 + 4*u.\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*n - 1804 = 1821, -2*n - 7270 = -4*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201555 is divided by 373?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 50*l**3 - 6*l**2 - 10. Let n(j) = 51*j**3 - 5*j**2 - 9. Let b = 121 + -127. Let c(r) = b*n(r) + 5*z(r). Differentiate c(w) with respect to w.\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.717357*44\nAnswer: 31.563708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4908044ng in kilograms?\nAnswer: 0.0000000000004908044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + 2*o)*(1275*o - 2141*o + 1117*o) to the form f*o**2 + k*o + j and give f.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1 + (-2 + 1 - 5)*(12 - 1 - 4))*(-o**4 + 0*o**4 + 5*o**4).\nAnswer: -188*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -2. Let h be (-2)\/i + (-51)\/9. Let u = 8 - 5. What is the smallest value in -2, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288 a factor of 294551296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -8*t**5\/9 - 70*t**4\/3 - 628*t**3\/3 - 6698*t**2\/9 - 2920*t\/3 - 200 = 0?\nAnswer: -10, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-19) - ((-237069)\/310156 + (-2)\/22).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58230 - -58229.967473. Round g to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((35\/2)\/5)\/(-9). Let m = l - -1\/18. What is the closest to -2 in -2, m, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) + (-12)\/(-3). Let p be -4*z\/(-20)*5. Solve -3*m + v + 6 = 0, 5*v - 2 - 2 = -p*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-30) + (-52)\/78\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15875, -63525, -142941, -254123?\n\"Answer: -15883*r**2 - r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.5 plus -286?\nAnswer: -526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19618 - -19621. Solve v*s + 42 = 54 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 111. Let p be k + 0 - (-40)\/(-10). Suppose -3*c + 3*j + 5 + 13 = 0, 24 = 5*c + j. What is the third biggest value in p, c, 1\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 215, -0.11, 0.4, -0.76, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1046.52819 + 939.528271. Let v = u + 107. What is v rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:37 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2*l**3 + 206 + l + 1\/2*l**2. Let g be (-1 - 1)*1\/2. Give r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90782418 divided by -1592674?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*b + 205 = -3*i + 3*i, 4*b - 486 = 211*i + 7*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 54*h = -71. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.03 + 20. Let b = 4.03 + r. Let g = 0.05 + 1.95. What is the nearest to g in 1, -0.2, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 707*x + 162. Is n(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + n**3\/2 - 3*n**2 - 7*n. Calculate the remainder when a(5) is divided by (6\/(-4) - -1)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -841*p - 2636. Determine x(-4).\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444360\/152352)\/(50\/12).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 3*y)*(-5 - 1 + 4)*(-y + 4*y - 7*y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 21*r - 12*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -45\/2. Let m be (-12)\/(-3)*1 - (-77)\/(-22). Determine c, given that -m - a*c**2 + c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - ((-44)\/(-6) - 34\/102)) + 27. Solve 0*f = 15*f - s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 3*i + 3*i + 3*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -443?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22046 by -73.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114572\/3 + 38220. Factor 2*l**3 - i*l**2 + 42*l + 52\/3.\nAnswer: 2*(l - 13)*(l - 2)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 6, j: 4, x: 4, v: 5}. What is prob of picking 1 i, 1 g, and 2 x?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14.14. Let p = -11693268.13999989 - -11693268. Let s = q - p. Round s to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*2\/4. Let i be 5\/(-2)*-54*3. What is the remainder when i\/25 - w\/5 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*x = 188*x - 44. Put -25, x, 1, -3 in decreasing order.\nAnswer: 1, -3, x, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428*((-45)\/6 + 8) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 9*x + 44. Which is the smallest value? (a) x (b) -0.1 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158251.\nAnswer: 19, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**2 + 12797*g - 25590. Determine f(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose u*f + 127 = 3*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 378, -9, 5 in decreasing order.\nAnswer: 378, 5, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 2, k: 4, z: 5, p: 1}. What is prob of sequence nkgk?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**3 + 2*r + 1. Let b = 40 + -41. Calculate c(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589998643?\nAnswer: 13, 59, 277, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -5)*(-1)\/(-2). Suppose c - 2*j + 24 = 5*c, j = 3*c - 8. Let l be 3\/y*(-5 + c). Solve l - 5 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 5:53 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 194.6907 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16a4 + 50?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -3*o + 5*x, 3*x = 4*o - 55 - 381. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 - 4 = 0. Suppose 0 = -c*x - 3*t - 3, 5*x - 4*t = t - 70. Let d = x + 20. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2 - 20*l + 36 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 1320?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 2*l**2 - 10 + 31 + 3*l**2 - 10. Calculate w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/5, -4\/7, 1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -173208 equal to -173206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1288 and 15\/6992?\nAnswer: 48944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - 3*q + 5*q + (2*q - 2*q - 2*q)*(3 - 7 + 2) + 4*q - q - 2*q - 9*q + 2*q - 3*q + 5*q - q - 2*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-30))\/(-1) + (-18078)\/(-90). Suppose -4*y = 3 + 5, y = -u + o. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1\/2*i**2 - 7\/6*i**3 + 0 - 4*i. What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 585*x**4 - 201 with respect to x.\nAnswer: 2340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 7. Let p be g(-4). Solve -4*a + 4 = -3*s, -2 = p*a - 4*s - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -4. Let j = 12 + -9. Let o = j + i. Put o, 2, 2\/3 in descending order.\nAnswer: 2, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/2 + 1216509130*x + 147989446337335690.\nAnswer: 5*(x + 243301826)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a**2 + 7*a**2 + 6*a**2)*(-18*a - 4 - 2 + 4) to h + j*a**3 + k*a**2 + w*a and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1383\/275 + -3\/25. Is -15 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580836.\nAnswer: 2, 3, 97, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388792137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - 24*m - 3. Let d be 7\/28 - (93\/4)\/(-3). Let r be c(d). List the prime factors of (-2)\/(-6) - 8\/r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15517235 to the power of 1\/2, to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 7*p**2 - 14*p. Determine b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4)*(-40302)\/(-197032).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20592 rounded to the nearest 100?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1597750, 1597752, 1597754?\n\"Answer: 2*n + 1597748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1965 divided by 5623?\nAnswer: -1965\/5623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 11020010?\nAnswer: -11012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 177*a - 15. Let f be p(-35). Is -85 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 696925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3\/7 + 2692*k**2\/7 + 36956*k\/7 + 34268\/7 = 0. Calculate k.\nAnswer: -659, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -25. Let y = -4 + 12. Suppose -l - r = -3 - 3, 0 = 4*r - y. What is the lowest common multiple of b and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7209, -14343, -21455, -28533, -35565?\n\"Answer: 2*r**3 - r**2 - 7145*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 (base 10) in base 14?\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 3:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let p be 1 + -1 + 0 + h. Let u be (1 + -1)\/(-4 + 2). Solve p = -z - u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -24*h - 1. Suppose 0*l + 2*l = -2. What are the prime factors of p(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2044 and 184252?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835*t = 434*t - 154292 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.8875 millennia in decades?\nAnswer: 75488.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8e3 (base 15) to base 11\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284156920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v - 39. What is the units digit of g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1909991713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18516025 to the nearest integer?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 bigger than -344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8 - 46 = 0. Suppose -l - 141 = -2*i, -360 = 4*i - h*i + 5*l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208838?\nAnswer: 2, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506950 and 187064550.\nAnswer: 187064550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51145 is divided by 202?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuzzuunuzztuubt. Give prob of sequence uz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2702974 rounded to 1 decimal place?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 4*i**3 - 51*i**3 - 34*i**3.\nAnswer: -70*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -331021163 - 0?\nAnswer: -331021163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11345*y**4 + 104 wrt y?\nAnswer: 45380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 11*n - 27 = 3*k, -5*n + 4*k = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -17.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12742 + 12745. Is n bigger than 0.943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*a**2 + 131*a**2 - 186*a**2.\nAnswer: -244*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q + q)*(-q + 2*q**2 - 2*q**2 + q**2).\nAnswer: -q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.21 (c) 2\/89 (d) 3 (e) -5 (f) -1\/8 (g) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632101, -632875, -633649?\nAnswer: -634423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 324 = -5*r. Suppose -12*n + 11*n = -36. Suppose r + n = 3*b. What is the highest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 - -189. Put -5, -3, q in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187*v - 720*v - 445*v)*(-5*v + v + 2*v)*(3*v - 5*v + 3*v).\nAnswer: 1956*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 + -213?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 2*q. Let o be z(3). Suppose -31*w + o*w = 116. Let m = -38 + w. Solve -m = x - 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 4244781578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 11) to base 16.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/6 + 2\/(-3). Let h = 0.3 + -0.5. What is the third smallest value in 0.5, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/4 (b) 1871 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3343396 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = 175*j + 2396 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 6.43 (b) 2\/11 (c) -2\/83 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1743064, 3486110, 5229156, 6972202?\n\"Answer: 1743046*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -88 (b) -3\/5 (c) -5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 32591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 7*p + 28. Let x(o) = -9*o - 70. Let z be x(p). Solve z = 3*f - 0*l + 5*l, -l - 5 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let g(d) = d**3 - 2*d**2 + d - 2. Let s be g(2). Let x be l(s). Suppose x*q + 50 = 5*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0*p**3 + 4*p**2 - 5*p - p**3 + 3*p. Let d = 13 - 9. Let o(g) = g**3 - 3*g**2 + 2*g. What is d*o(f) + 3*x(f)?\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.331 - -178.331. Let x = d + -178.1. Suppose -3*q + q - 25 = -5*n, 15 = 3*n + q. What is the fourth biggest value in n, -4\/3, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, h: 11}. What is prob of sequence hhh?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -116520*o**3 + 9615 wrt o.\nAnswer: -349560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.022 and -267?\nAnswer: 5.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w - 20. Let m(f) = -f**2 - f. Let q(y) = -4*y**2 - 7*y - 1. Let u(l) = 3*m(l) - q(l). What is u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b6 (base 15) to base 13.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273 + -274. Let c = 6 + -11. Sort 2\/11, a, c in decreasing order.\nAnswer: 2\/11, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -90*y**2 - 2*y + 48. Let q(t) = -45*t**2 - t + 22. Calculate 6*h(a) - 13*q(a).\nAnswer: 45*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/12)\/((-12)\/(-16)). Let c(b) = -b**u - 14*b + 3*b + 11*b. Let m(x) = 6*x**2. Calculate m(c(j)).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -901826903312?\nAnswer: 901826903312.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40681143 is divided by 5158.\nAnswer: 5155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2 - 5*y - 5. Let n(f) = -f**2 + 2*f**2 - 2*f - 2 - 3*f**2 - 4*f**2. Let s(c) = 4*m(c) - 10*n(c). Determine s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ouho?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4*q - 1 + 8*q)*((0 - 1 + 0)*(6*q - 2*q - 9*q) + 3*q - 6*q + 2*q) + 2*q**2 + 0*q**2 - 4*q**2.\nAnswer: 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w**2 - 28 + 6 + 10957*w**4 - 14*w**2 - 10955*w**4 + 8*w to the form r*w**3 + q*w**2 + t + j*w**4 + x*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 8*w - 1. Let y be p(6). Let f = y - -30. Calculate the greatest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*m**6*o + 238*m**3*o + 13349*m**2*o wrt m?\nAnswer: -1200*m**3*o + 1428*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 = 944056\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9112 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 15*z - 24. Let x be c(13). Let r = 5 + -4. Let h be (4 - 4)*r\/(-2). Solve -8 + h = x*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 - 144. Suppose m*g - 20 = 676. What is the second biggest value in g, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(2\/3))))**(-7\/9)\/(z*z**(2\/7)*z*z\/z**(3\/4))*((z\/(z**(-1)\/z*z*z)*z)**(-11))**(-2\/41) assuming z is positive.\nAnswer: z**(-53369\/30996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 23*m - 364. Let o be t(7). Solve 0 = -12*y - o + 152 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 4. Let h(u) = -3. Let x(j) = -2*a(j) + 3*h(j). Calculate the remainder when x(-8) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-14)\/(-16)))\/(86\/301).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + g + 18, -8 = -2*u - 3*g + 8. Suppose 3*q - 5 = -j, -4*j = -4*q - 4 + 32. Calculate the remainder when u is divided by (6\/j)\/(6\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*o**2 - 24*o + 13*o + 64*o**2.\nAnswer: -125*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/20 + (-14)\/(-10). Suppose -u*a - 2*x = -4*x - 28, -x + 30 = 3*a. Let f(b) = b**3 - 10*b**2 - 11*b - 6. What is f(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/80*(-6 - ((5 - 56\/16) + -7)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114880 and 45952.\nAnswer: 229760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45852457 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 20. Suppose -5*r + 2*b + 25 = -3*b, -t*r + b = -10. Suppose -r*q - 2 = -4*q + 3*s, 0 = 3*q - 3*s - 42. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133a63 (base 11) to base 4.\nAnswer: -303111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -2.6. Let z = r - -3.01. Let g = 0.01000016 - z. Round g to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1205, -4, 4 in ascending order.\nAnswer: -1205, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 1. Calculate the common denominator of n(-5) and 59\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 491*z - 1. Let p = -37 - -41. Let f be l(p). Suppose 3*k - f = -202. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1880.94 + 1975. Let o = 94 - x. Let m = 0 - -0.1. Which is the nearest to -0.1? (a) m (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.975665km in micrometers?\nAnswer: 7975665000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*(-10)\/(-3). Let g(d) = -214001*d - 5. Let n be g(k). What is n rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23447 + 23332. Sort o, 4, 0.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012002 (base 3) in base 13?\nAnswer: 150b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 5*k**2 + 16 + 28 + 3*k**2 + 0*k**2 to the form t*k + w + y*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 2:02 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**2\/2 + 6*t - 4. Let w be l(-9). Let m be (-14)\/11 - (w + 2). Are 1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185.1 - -188.1. Which is the third biggest value? (a) 6 (b) -0.34 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 684 and 912.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45704 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**2*v + 10515290*m**2 + m + 379379919*v wrt m?\nAnswer: -22*v + 21030580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, z: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/900 + 1\/100. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -318643.6 and -10502071.\nAnswer: -10820714.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:35 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.6 and 12.1.\nAnswer: 418.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - y - 2. Give k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528)*5 - sqrt(528) - sqrt(528))\/sqrt(12))\/(sqrt(32)\/sqrt(800)).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1053 by 13.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1059589616 to the nearest integer?\nAnswer: 32551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104540042939 minus -0.5?\nAnswer: -1104540042938.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 85. Calculate u(21).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 365, 390, 415, 440?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 1632 = 1604 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d - d. Let o be d\/(-1 + 102\/99). Suppose -3*x = -51 - o. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -31. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a - 55*a - 163 - 299 = 0. Put 0, 22, a in decreasing order.\nAnswer: 22, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - c?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j**2 + 17*j. Let c(g) = -33*g. Calculate c(o(z)).\nAnswer: 429*z**2 - 561*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.3 + -27.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 9*w - 19. Let c be h(8). Let x be (-6)\/(-27) - 2478\/c. Suppose -y = -3*y + x. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.7 + 0?\nAnswer: 262.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/6)\/((-6)\/(-16032)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 2*t**2 + t. Let p be i(1). Let m be 8 - ((-891)\/(-105) + (44\/77)\/(-2)). Which is the nearest to -2? (a) p (b) m (c) -2\/15 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11949*g + 23937*g + 2378 = 11947*g for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 + 783*d**3 + 42090*d**2 - 44352*d - 28435968 = 0. What is d?\nAnswer: -187, -48, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 8*f**2 + 2*f - 8. Let m be n(-7). Let k = 40 - m. Let z(i) = i**2 - 13*i + 16. Calculate the least common multiple of z(k) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/728 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 10. Let y be a(0). Is 10 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5507\/(-4))\/((21 + -43)\/176).\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527288892.\nAnswer: 2, 3, 13, 23, 179, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -156586 divided by 112\nAnswer: -78293\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 39. Suppose -2198 = -19*d - 2521. Determine r(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 + n + 5. Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 22*g**2 - g + 20. Let t be q(22). Sort -3, t, 7 in increasing order.\nAnswer: -3, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221286503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 86, 129, 172, 215, 258?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54765 = 55*c - 64*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 - 5*i + 428. Calculate q(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5130.134 millilitres?\nAnswer: 5.130134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 56. Suppose -53 = x + 3*r, 3*x + 6*r + 124 = 4*r. Let d = x + f. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 - i - 1. Let s(m) = -3*m**3 + 7*m**2 - 5*m - 3. Let w(j) = j. Let r be w(5). Determine r*y(t) - s(t).\nAnswer: -2*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j + t + 2*t, 0 = -2*j + 4*t + 34. Find the third derivative of 7*b**3 - 5*b**2 - 2*b**3 - j*b**2 - b**3 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -80 - 17131*l + 17120*l + 77. What is a(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169633 by -2.\nAnswer: -169633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64401 divided by 64401.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-60) + 2\/6. Let g = 772.99 - 773. Which is the third biggest value? (a) j (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7654696 is divided by 27338.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/2 + 44725*j\/2 + 2799715.\nAnswer: 5*(j + 127)*(j + 8818)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5865.31 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 72678600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -197, -294, -391?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 + 9*h + 2. Let l be a(9). Suppose -l*j - 33 + 39 = 0. Let r(t) = 2*t**2 - 3*t + 2. What is r(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -4*x + 15. Suppose 145 = 5*m + 5*y, 3*m - 2*y = 7*m - x. Let n = 38 - m. Solve -n + 3 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 - 64*j - 112 = 0. Calculate j.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from htttthhhthth?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -285028656 divided by 13112?\nAnswer: -21738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3db - 3276?\nAnswer: -2e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + (6 - 10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-60*p**2 - 188 + 188)*(42 + 63 - 14 + (0 + 2 - 4)*(-3 - 2 + 4) - 6 + 5 - 1).\nAnswer: -5460*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 727*-20.26\nAnswer: -14729.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {z: 3, d: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19656727*v**3 + 2*v**2 - v - 802797490.\nAnswer: -117940362*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 41.181, 0.1, -0.2, 3 in descending order.\nAnswer: 41.181, 3, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b**4*v - 2*b**4 + 3*b**3*v + 51708*b**3 - 3*b**2*v - 1196*b**2 - 2833 wrt b.\nAnswer: 192*b*v - 48*b + 18*v + 310248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475522717.\nAnswer: 475522717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 + 118*i**4 + 2166*i**3 + 12050*i**2 + 10000*i = 0.\nAnswer: -25, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1374 + 1373.8. Which is the nearest to q? (a) 1\/2 (b) 6 (c) -0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*y + 4*l, 68*y - 5*l = 65*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*f = -321 + 1033. Suppose 0*n + 2*n = 0. Sort 5, f, n in decreasing order.\nAnswer: 5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 10 + -2 + -30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 423*w + 752. Let q(p) = -p - 2. Calculate 1880*q(z) + 5*s(z).\nAnswer: 235*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/48)\/7*6\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -56*m**2. Let y(p) = -2 - 789*p + 2 + 788*p. What is y(i(d))?\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:11 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 1)*(-5*y + 4*y + 0*y) - 379*y + 741*y - 89*y to the form n*y + f and give n.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 + 2 + (36 - 10) + -36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1581986 and 89\/7118937?\nAnswer: 14237874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/20)\/(12 + (-630)\/50)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -288, 1\/3, 4 in descending order.\nAnswer: 4, 1\/3, -1, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-10))\/s**4)\/(s\/(s**(1\/2)\/s)*s*s\/s**9*s) assuming s is positive.\nAnswer: s**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 25 = -35. Calculate the remainder when 79 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 20\/8 - (-33)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*q - 10184 = 1318*q + 40664 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3760)\/(-20)*4*2\/(-32)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -98*y**2 - 191*y + 1. Calculate d(-3).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 41 = -5*r - 31, -4*p - 24*r + 100 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1336952672*d - 863634832 wrt d.\nAnswer: 1336952672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 30 - 12. Suppose 3*a - 6 = 6. Suppose 5*t - 38 = -n + 22, a*n = 3*t - 13. What is the remainder when x is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 70*r - 11*r.\nAnswer: 59*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 + 6*m + 9. Let h be q(4). Is -2\/1239 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2632595062 - 27.65.\nAnswer: 2632595034.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -590.414 + 591. Let v = n + -0.61. What is v rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -29. Suppose 3*j + 2*k - 5*k - p = 0, 5 = -k. Find the second derivative of 43*i - 28*i**3 + j*i - 16*i wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58676897 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73434722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 1. Let z(p) = -p**w - p + p - 5*p + 2 - 5. Calculate z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -564 and -563 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 36 = -3*w. Calculate the lowest common multiple of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:29 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 1362 + 84 = 0. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -853 - 5?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 62*f + 3.\nAnswer: -62*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -170488.\nAnswer: 19\/85244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 11. Let y(w) = -2*w**3 + 6*w - 3. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/114*(-186)\/434?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.07 - -0.97. Which is the second biggest value? (a) 4 (b) i (c) -5\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -103. Let r = f + 29. What is the greatest common factor of r and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (406 - 321 - (53 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352509551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 0.271, 51.\nAnswer: -56, 0.271, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3906 by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 9) to base 10\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/2 + 75*c**2\/2 - 141*c\/2 + 69\/2 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = 5*o, -2*y + 3*o + 0*o = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 2*i = 3622 - 3656, -5*h + 31 = i for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.27, 22, 0.5887?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 1. Let y(x) = 20*x + 22. Let o(a) = -44*s(a) + 2*y(a). Let w(r) = -2*r. What is w(o(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 - 30*s. Give x(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57738 divided by 6?\nAnswer: 9623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sekccsksse. What is prob of picking 2 s and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/((-57)\/(-12)))\/((-2)\/2). Sort 7, 9, q in decreasing order.\nAnswer: 9, 7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114721?\nAnswer: 89, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5612 = -7*x + 9*x. Suppose -2*d - 4*i + x = 0, 2*d = i + 2323 + 488. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 264\/5. Let k = -2\/341 + -656\/4433. Sort k, -2\/7, l in decreasing order.\nAnswer: k, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 7059672*d - 35298260 = 0.\nAnswer: 5, 1764913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d - 39. Suppose 0 = -3*u + 2*t + 11, 3 = -u + 2*t + 4. Let p be o(u). Suppose -p + 28 = -4*y. Let c(l) = 4*l + 1. Calculate c(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3967 - -8524. Suppose 0 = 11*n - f + 1202. List the prime factors of n.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526724.398 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4213 or 1?\nAnswer: 5\/4213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0.4, 5, -0.3 in increasing order.\nAnswer: -0.3, 0.4, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150.74345 and 0.5.\nAnswer: 75.371725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 13*x - 12. Let o be i(-3). Sort 2\/9, o, 52\/3 in descending order.\nAnswer: 52\/3, o, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25 (b) 0.1 (c) -732\/25 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/20 + 22932\/360. Suppose -72*d = -b*d - 768. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 40 = 29*t. Suppose -2*g - k + 0*k = -15, 0 = 3*g - k - t. Suppose -2*b + 957 = u, -g*b = -u - 3*u - 2386. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**3 + 12*c**2 - 22*c**2 - 10*c**2 + 3 - 3 + 21*c**2.\nAnswer: -60*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.54 less than -0.4?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) 2 (c) -1 (d) 124 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 64190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1 (c) 5 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 522 = -4*s, 3*s + 322 = 3*f + s. Let t = 49 - f. What is the remainder when (t\/(-4))\/(1\/4) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -0*z - 2*z + 3*l - 62, 50*z = 4*l - 1758 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. What is the third derivative of -4*g**6 + 0*g**2 - 3*g**2 + 4*g**2 - 2*g**y wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67168*t - 2 + 2 - 67167*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by (-7 - 0)*70\/(-49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -81430?\nAnswer: 1\/81430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1171 - -542. Let h = x - -628.6. Let u = -1 - -1.1. Which is the closest to u? (a) 2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 3, 1, 1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - -2) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -768*c + 28417. Calculate j(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7671*l**3 - 14*l**2 + 12. Let k be i(-7). Suppose 7*c + k = -3529521. What is c rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1145 + -1143. Find r, given that 4\/5*r - 2\/5*r**n - 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -305*x**2 + 635 wrt x.\nAnswer: -610*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*t - 129, 26*o - 22*o - 3*t - 169 = 0. Calculate the highest common factor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -20*s**3 - 41*s**2 + 4. Let i be x(-2). Sort -3, i, 3327.\nAnswer: -3, i, 3327","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058 is divided by 1697?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -1 + -22 + 1 + (-543 - -563).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5281, 5274, 5265, 5254, 5241?\nAnswer: 5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 17. Let n(l) = 7*l + 27. Let a be n(-5). Calculate f(a).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059*x - 1170*x + 859*x + 20550 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3008 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, -20, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/((-10)\/45))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207\/4 + -1129\/24. What is the common denominator of 123\/10 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 1\/11, 2, 23\/5, -4.\nAnswer: -4, 1\/11, 1, 2, 4, 23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -4)*(4 + -3 - -1617). Suppose -3*f = -0*f - 2*t - 1634, p = 3*f + 2*t. Suppose 0 = -5*r - 5*y + 705, -5*r - 3*y + 157 = -f. Does 38 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 646029*l + 646029*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 6*w**4\/5 + 87744*w**3\/5 + 1402638*w**2\/5 + 3943188*w\/5 - 14198976\/5 = 0.\nAnswer: -14608, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 2, s: 11}. What is prob of sequence uwu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-36))\/(8\/(-24)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286.46 + -526.\nAnswer: -239.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(6*p - p - 3*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 155\/62 - (0 + 4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3 - 3. Let i(h) = -7*h + 20. Let t be i(y). Suppose -170 - 10 = -t*j. Calculate the lowest common multiple of 3 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94 + 23*b + 2*b**2 - 23*b**4 - 24*b + 0*b**2 - 2*b**2 wrt b.\nAnswer: -92*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1320 + 0. Does 44 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61370 + -666662309\/10863. Let w = 307789\/43452 - g. Find the common denominator of (-131)\/(-48) + 3\/9 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 - 347. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 373040\/7 and 53290 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21003940.\nAnswer: 2, 5, 1050197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. Let o be -50 - (k - (-9)\/(-3)). Is 2\/12 - 328\/o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 766708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 5*r, 5*n - 15 + 7 = r. Let v be (-4 + r - 0)\/(-1). Solve -g - 2*t + 9 = 0, t = -0*g - v*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.918678 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*n - 550 - 31 = 385 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, -178, -401, -714, -1117, -1610?\n\"Answer: -45*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167674.\nAnswer: 2, 13, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199620 + -199625. Let j be (4\/(-10))\/((-12)\/25). Let b = 1\/3 - j. What is the second biggest value in b, -2, -3\/4, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - 1 - (1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(931) + sqrt(931) - (sqrt(931) + sqrt(931)*-1 + -2)**2)*5.\nAnswer: -10 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 0 + sqrt(2057))**2.\nAnswer: -66*sqrt(17) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by (132\/8 - (7 + -2))*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/264*-102)\/(-1*2\/4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**2 + 7 - 16*j**2 + 30*j**2 - j. Let i be ((-6)\/(-4))\/(3\/6). Suppose i*n = -n. Determine g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 5. Let h be d(8). Let a be 49\/h + 12\/9. Let y be (2\/(-6))\/(a\/135). Solve 25 = -y*v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22130\/1673 - 430\/239. Let v = -26 + 36. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 46036 = -8*c. Suppose 2*k - 11469 = 5*h, c = 3*k - k + 3*h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51581573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22261920.\nAnswer: 2, 3, 5, 19, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-2))*x)**(-49)\/(x\/(x\/x**(2\/3))*(x*x\/(x*x\/x**(-1))*x)\/x))**41 assuming x is positive.\nAnswer: x**(-24067\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Let b(u) = u**3 - 7*u**2 + 2*u - 8. Let f be b(7). Let s = l + f. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/10 - 36*d\/5 + 71\/10.\nAnswer: (d - 71)*(d - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 118 + 198 = 0. Solve -12*l + q = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a. Let b(c) = -356*c**2 + 95*c + 3. Give t(b(l)).\nAnswer: 2492*l**2 - 665*l - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101101 - -100011000001111?\nAnswer: 100001001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 2. Suppose 15 = -n*g, 2*x - 4*g - 61667221 = -3*g. Suppose 3*q - 833608 + x = 0. What is q rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvgjgy. Give prob of sequence gyg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hit when three letters picked without replacement from {t: 1, i: 7, h: 5, z: 1}.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25563 is divided by 319.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 118*g + 114*g + 14204, 0 = -l - 5*g + 2824. List the prime factors of l.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 2 + 3 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**3 - 3*k - 3. Let i(t) = 9*t**3 - 4*t - 3. Let s = -12 - -16. Let a(g) = s*q(g) - 3*i(g). What is the derivative of a(v) wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 398 - -3a1a?\nAnswer: 40b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - ((sqrt(72) - (0 + sqrt(72) - sqrt(72))) + sqrt(72))) + -1 - (sqrt(72) + -2 + -2)) + -3*(sqrt(72) + 1) + 4*sqrt(72)*-2)**2*1.\nAnswer: 12168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 19*t + 121. Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*r - 288, 2*r - 1047 = -4*g + 7*r. Let x be 11\/22 + (-118)\/g. Let o = 1549\/134 - x. Find the common denominator of 29\/2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19151773 - 0.2.\nAnswer: -0.39151773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 1200000122202?\nAnswer: 1200000200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -245\/2, -2, -0.2, -0.1, -1 in ascending order.\nAnswer: -245\/2, -2, -1, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202 - 21?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57135, 114292, 171449, 228606, 285763?\n\"Answer: 57157*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -2322, -8160, -19526, -38262, -66210?\nAnswer: -105212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 10 - (172 + -187)) + 0 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/4*h**2 + 1\/4*h**4 + 1 + 3*h + 3\/2*h**3.\nAnswer: (h + 1)**2*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4474, -5644, -8876, -15202, -25654, -41264, -63064, -92086?\n\"Answer: -172*t**3 + t**2 + 31*t - 4334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-21))*x**(-1\/3)*(x\/(x*x*x\/((x**30*x)\/x*x)*x))\/(x*x*x**(2\/7)) assuming x is positive.\nAnswer: x**(974\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 8*b - 12. Let u be c(-5). Suppose -u*q = 3*q - 12. Suppose -4*v + 41 + q = -g, 0 = -2*v - g + 29. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 12*g**2 + 29*g - 6. Let j be d(9). Let o be ((-9)\/6)\/(12\/(-32)). Calculate the greatest common factor of o and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**9\/12096 + 5*m**8\/4032 + m**7\/504 - m**6\/18 + m**5\/30 + 63*m**2. Let n(h) be the third derivative of j(h). Factor n(c).\nAnswer: 5*(c - 1)*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-1))*w)**(9\/8)\/((w\/(w*w*w**(4\/7)*w*w))\/(w*w*w**(-8))))**(-12\/5))**42 assuming w is positive.\nAnswer: w**(1224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102202 - 10100?\nAnswer: -120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g - 97*g + 24*g + 22*g + 25*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-24))\/((-4)\/18). Suppose 0*v - 2*x - 6 = -4*v, 5*x + 8 = 3*v. Let i be (1 - (-3)\/(-12))\/v. What is the second smallest value in i, k, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*l - 16 - 4 = 0, 3*t = -3*l + 21. Suppose t*n - 17 = -c, -13 = -3*c - 0*c + 4*n. What is the smallest common multiple of c and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a + 27*a - a**2 + 5*a.\nAnswer: -a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9405.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8754 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2147 (base 8) to base 9\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/41 or 221943?\nAnswer: 221943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -756, 4, 1, -6 in decreasing order.\nAnswer: 4, 1, 0, -6, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let s(t) = 2*t + 3. Let c(h) = 2*h - 27. Let p be c(12). Calculate p*s(r) - 7*a(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 28*a - 340. What are the prime factors of d(-51)?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 591 + 18*f + 2*f - 592 + 28*f as i*f + j and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(11) + -4) - (-3*sqrt(88))\/sqrt(8)) + 0 + (sqrt(11) - sqrt(99)) + sqrt(44) + 4)**2.\nAnswer: -168*sqrt(11) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 5. Let q be k(6). Suppose 25 = 3*a - m, -4*a + 2*m + 10 + 24 = 0. Calculate the lowest common multiple of (7 - (-2 + q))\/1 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + 1 + (sqrt(72) + 1 - sqrt(72)) + -2 + (-5 + sqrt(72) + -1*sqrt(72))*-3)**2.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80554403.\nAnswer: 80554403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1592354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s = 10216 - 9336 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**5\/7 + 44*r**4\/7 + 11290*r**3\/7 + 222192*r**2\/7 + 174040*r - 61600 = 0.\nAnswer: -20, -14, 1\/3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*a**5*u + 10*a**4*u + 5*a*u + 86*a wrt a.\nAnswer: -2000*a**3*u + 120*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27828.13 decades?\nAnswer: 2782.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-5)\/((-75)\/65). Let h = -0.1 - 0.1. Let p = h - -0.5. Sort l, p, -1\/2 in descending order.\nAnswer: p, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 49. Suppose 27 = p*w + w. Let g be w\/(-12)*-18 + -4. Sort g, 1, 0.4 in increasing order.\nAnswer: 0.4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 15. Suppose m*i = 4*i - 116. Suppose -5*n + i = -41. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6398019460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*z - 5, -3*j - 4*z - 14 = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -121225366 (base 7) to base 3\nAnswer: -112020120220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 + 51*s + 18. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - ((sqrt(210) - (-1*sqrt(210) + sqrt(210)))*4 + sqrt(210)))\/sqrt(6))\/(sqrt(30)\/(sqrt(108)\/sqrt(2))) + -2.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 16. Let x be d(4). Suppose -x*u - 3*i + 520 = -3*u, -5*i - 1518 = -3*u. What are the prime factors of u?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -4\/5*o**5 + o**2 + 0 + 0*o**3 + 0*o**4 + 9*o. What is the first derivative of j(b) wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 2, -11389 in ascending order.\nAnswer: -11389, -299, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417\/4 + 107. Calculate the common denominator of -2*1 - (-134)\/(-4) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 5034*u - 2111763.\nAnswer: -3*(u - 839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 - -23. Suppose -5*u = h + 2*h - 18566, -3*h + 6 = 0. Suppose 4*f + u = 4*a, d = -3*f + 5*a - 2524. What is f rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 8*w + 5*a, 0 = 5*w + a + 6. Let y = -0.0144 - 0.4856. What is the nearest to -1 in w, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k - 5. Let h(m) = 0 + 6 + 43407*m - 43388*m. What is -3*h(b) - 4*o(b)?\nAnswer: 23*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 5, -12\/11, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:58 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -265046 smaller than -265047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*i**2 - 369*i**2 + 211*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 818 - 225. What are the prime factors of v?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 2*d - 5*d)*(-3 + 3 + 2*d) + 6*d - 5*d - d**2 + 2*d in the form n*d**2 + g*d + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6582, 6587, 6604, 6639, 6698, 6787, 6912?\n\"Answer: s**3 - 2*s + 6583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*j**3 - 3 + 58*j**2 - 56*j**2 in the form t*j + c + k*j**3 + b*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 14. Is -5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -0.3, -2\/3, 1\/4 in increasing order.\nAnswer: -4, -1, -2\/3, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25458.37 - 25348. Round s to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(5 + (sqrt(35)\/(sqrt(25)\/sqrt(5)) + 5 + sqrt(7) + 1)*-5))**2.\nAnswer: 32000*sqrt(7) + 84800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + 6*j + 6. Let k be (-54 - 1) + 7 + -2. Let w = k - -54. Suppose 4*u = 8*u + 4, -2*u = w*n + 22. Calculate o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*f + 21122 = -350*f - 6225 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1\/8, -0.5, -3\/2, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*v - 1, -29 = -2*v - 2*x - 3*x. Suppose -5*y + 207 = -4*i, -2*y + v*i - 53 = -137. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049861823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10088087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(60) - (sqrt(240)\/(sqrt(4)*2) - sqrt(60))) - (sqrt(60)*2*4 - sqrt(60)))\/((sqrt(108)*-1*3)\/sqrt(9)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.84, -3.14, 2\/3, 19 in descending order.\nAnswer: 19, 2\/3, -0.84, -3.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 0.2 (c) 1041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3863900 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182663322?\nAnswer: 2, 3, 373, 81619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (84 + 124912\/(-1477))*(-707)\/4\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/1043 or 0?\nAnswer: -38\/1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 5, -3, 0.1, 9\/35, -1\/4.\nAnswer: -3, -1\/4, 1\/17, 0.1, 9\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 14*d + 28. Let n be m(12). Sort n, 3, -2, -5 in decreasing order.\nAnswer: n, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17122 - 0.5?\nAnswer: -17122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 4 + 73 = 0. Suppose 2*m - 1449 = -b*x, 2154 = 3*m - 5*x + 3*x. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6631, 13261, 19891, 26521?\n\"Answer: 6630*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/51)\/(1 + 22\/(-12)). What is the closest to m in 1\/6, 0, -3\/196?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59e3a (base 15) to base 6\nAnswer: -10051201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - (-5 - -6)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7544, -15101, -22678, -30275, -37892, -45529?\nAnswer: -53186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19477553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 163*q**3 + 32*q**3 + 8*q**5 - 215*q**4 + 67*q**5 - 10*q - 45*q**2 = 0.\nAnswer: -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(-9 - 1 + 23 + 27)*(2*g - g - 3*g)*(-g + 8*g - 3*g).\nAnswer: 1600*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203358 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**5\/120 - v**4\/12 + v**3 - 3. Let a(k) be the third derivative of f(k). What is a(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76.411 and -23156.\nAnswer: -23232.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 - 7*s + 3. Suppose -5*i - 3*i + 16 = 0. Let h be (2 - (i + 2)) + (2 - 3). What are the prime factors of x(h)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 23642*o - 1814507. What is r(-77)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c + 4. Let q be s(-7). Let o(z) be the second derivative of -z**4\/6 + z**3 - z**2\/2 + z - 29. Give o(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 150 = 330. Let a be (-1)\/(-4) + (2 - 111\/n). Suppose -2\/5*t**3 + a - 6\/5*t + 6\/5*t**2 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + b - 71, -2*u - 4*b - 21 = -77. Calculate the highest common factor of u and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16 and -59\/1724?\nAnswer: 6896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11 + 6 - 39 + 14 + 12 + 6*k**3. Give l(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/5 + 42*j**3\/5 - 204*j**2\/5 + 408*j\/5 - 288\/5 = 0. What is j?\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 13*n**2 - 19*n + 53. Calculate y(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 17.8.\nAnswer: 872.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1251*n**2*u**3 + 44*n**2 - 9*n*u**3 + 86*u**3 + 6908*u with respect to n.\nAnswer: 2502*n*u**3 + 88*n - 9*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let x be p(-4). Calculate the remainder when 51\/9*-1*x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, f: 3, m: 1, n: 3, r: 1}. Give prob of sequence rl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 13*b + 6. Let w(y) = -6*y**2 - 38*y + 17. Let h(n) = -17*o(n) + 6*w(n). Find the second derivative of h(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 224594158*u - 12610633951932241.\nAnswer: -(u + 112297079)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3 + 9 - 18)*(-6*t + t + 3*t).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15\/803, -7\/5, 5, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. What is the units digit of (-3)\/((-3)\/u) + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = -2*v + 38, 0 = 4*v - 20. Are -25\/3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 3*t - 5*t + (-19*t - 469 - 478 + 948)*(-1 - 1 + 0).\nAnswer: 36*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 77*h**6\/6 - 2*h**3\/3 + 117*h**2\/2 + 28. Find the second derivative of m(y) wrt y.\nAnswer: 1540*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -x = -2*m - 1 - 1, -j*x + 4 = 4*m. Solve x*c + 4 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14886310349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*q + 2, -5*q + 3*q - 6 = -2*k. Let s = 0 + 0. Solve -q*x = 4*r + 18, 5*r = -s*x - 3*x - 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, -0.1, 11, -2\/13, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 714858*g**2 - 2859468*g - 2859480 = 0. What is g?\nAnswer: -2, 238290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12535\/2 - 112813\/18. Factor 1\/9*s**2 - 4\/3 - w*s.\nAnswer: (s - 4)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.86053.\nAnswer: 0.086053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 2. Suppose 3*a - 88 = -a. Let l = a - 34. Let m(r) = r + 14. Let x be m(l). Determine f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let i be -2 - (-5 - (1 - r)). Is 2 + (i - 4) + 58 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -140*x + 2098. Give o(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let b(v) = 828*v**2. Give t(b(s)).\nAnswer: 828*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85401.1 from 217.\nAnswer: -85184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -26, -26, -36, -62, -110?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11914 + 14798. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 355, 360?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360342 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 11 - 1 = 5*c, -5*w - 4*c = 33 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = 80*i + 381 - 248 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134922 by -38.\nAnswer: -67461\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385704481.\nAnswer: 29, 757, 199777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 9. Let k be r(6). Let u be (-1)\/(-6) - k\/(-18). Let a(w) = 3*w**2 + w. What is a(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/30*107225\/98647?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 20*b - 70. Let g(z) be the second derivative of 0 + 1\/2*z**3 - 10*z - 3\/8*z**4 + 0*z**b. Suppose g(u) = 0. Calculate u.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**3*l**2*x + 20262*b**3*l**2 + 2*b**3 + 29012*b**2*l**3*x - b**2*l**3 - 2*b**2*l**2 with respect to x.\nAnswer: -7*b**3*l**2 + 29012*b**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by 55?\nAnswer: -558\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 58*j**2 - 6*j + 16. Let d = -392 - -394. What are the prime factors of m(d)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, -184, -395, -606?\n\"Answer: -211*m + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1. Let l(s) = -16 + 5363*s - 5363*s - 31*s**3 + 21*s**3 + 11*s**3. Calculate -l(g) + 3*x(g).\nAnswer: -g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:11 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*g*y**2 - 45*f*g - 2*f*y**2 + 2*f*y + 23510*g*y**2 + 2*g*y - 372*y wrt y?\nAnswer: -2*f*g - 4*f + 47020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 360, 547, 734?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/840 + o**4\/6 + 5*o**3\/6 - 5*o**2. Let q(s) be the first derivative of w(s). Differentiate q(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5781 + 40469\/7. What is the biggest value in -0.4, q, -6.85?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let t(b) = 16*b - 32*b + 18*b**2 + 15*b. Let i = -133 + 137. Let z(n) = i*l(n) + t(n). Find the second derivative of z(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:34 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1664 + -719. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/16*(-12)\/231\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070978.\nAnswer: 2, 3, 7, 13, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -517*d**2*q**3 + 6*d**2*q**2 - 3*d**2*q + 38005*d*q + 2*q**3 wrt d?\nAnswer: -1034*q**3 + 12*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 201 (b) 2 (c) -20\/17 (d) 0.5 (e) -2 (f) 28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**3 + 16*d**2 - 16*d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 1. Suppose -4*f = -4*d + 42 - 6, 0 = 5*f + 20. Let n(x) = -12*x**2 + 3*x - 5. What is d*g(a) - n(a)?\nAnswer: 7*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**3 + 27*b**3 + 0*b**3.\nAnswer: 45*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1902.685 + -1892. Let x = m + -10.6. Let w = -0.0850038 + x. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 15\/4*x**4 + 110 + 0*x**3 + 1\/2*x**2 + 15*x. Differentiate t(r) with respect to r.\nAnswer: 45*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 3*y = 3239, 2*y = -6. What are the prime factors of w?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*d = -118, 0 = 117*k - 119*k - 2*d + 86. Solve k*t = 7*t + 240 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -441545?\nAnswer: 1\/441545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3404, -3, 0.8 in ascending order.\nAnswer: -3404, -3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11841880\nAnswer: -3\/11841880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -1 - 2 - (-246 + 227)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63020\/322 - (-2)\/7. Let x = -199 + y. Sort -2, 7, x in descending order.\nAnswer: 7, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198509583.\nAnswer: 157, 7633819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(2299) - sqrt(2299)*2) + -3 - sqrt(2299)) + -1 + ((sqrt(95)*-2 - sqrt(95)) + sqrt(95) + sqrt(95) + sqrt(95))\/sqrt(5))**2.\nAnswer: 176*sqrt(19) + 9215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 304111110 (base 5) to base 11\nAnswer: 77637a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -45966?\nAnswer: -45972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 38 + 73 = -141 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -30961 (c) -31 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*m - 399*m = 716*m + 11538 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237525 is divided by 4241.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 5*k + 258. Determine r(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-36)\/(-5))\/12)\/((-2)\/5))\/51?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1688 - 1687.5. Which is the smallest value? (a) v (b) 5 (c) 213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 16\/1815, 0.1, 2\/5?\nAnswer: 16\/1815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -17. Let v = 527 + -517. Calculate the greatest common factor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 1. Let a(q) be the third derivative of 11*q**5\/60 - q**4\/24 + q**3 + q**2 + 38. Let b(u) = a(u) + 6*o(u). Determine b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.804 * 0.274.\nAnswer: -0.494296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-870)\/(-12)*704\/(-10). Let q = 35669\/7 + p. What is the common denominator of 101\/152 and q?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -159. Which is greater: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106074 smaller than -106074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -161, -357, -621, -947?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1087768 * 0.06\nAnswer: -65266.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-25) - (-51)\/15. Let p(s) = 3*s - 15*s - 18 + s**2 - 2*s**2 + l. Let i be p(-10). Solve -3*t - i = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 5*k - 15. Let w be (0 + 1)\/((-3)\/k). Solve -s - 2 = -w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:32 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620664 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2713\/4464 - 81\/496. Factor 0*d**2 + 0 + 0*d + 2\/9*d**5 - z*d**4 + 0*d**3.\nAnswer: 2*d**4*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 5*a. Let x(o) be the second derivative of -o**4\/12 - o**3\/6 + 18*o. Let k(i) = 2*b(i) - 6*x(i). What is the second derivative of k(z) wrt z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-54)\/15*9\/12 and -121\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sass when four letters picked without replacement from {r: 11, a: 2, s: 6}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -252*v + 267*v. Suppose 0 = v*b + 5*i + 12, 20*b = 21*b - 2*i - 10. Factor f**4 + 1\/5 + 1\/5*f**5 + f + b*f**2 + 2*f**3.\nAnswer: (f + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 6. Let d be p(6). Let f(g) = -22*g - 2. Let w(a) = 19*a + 2. Let o(y) = 6*f(y) + 7*w(y). Determine o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 611.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3517 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31212132311 (base 4) in base 11?\nAnswer: -2015898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/47 - 154\/235. Let g = 0.1 + -0.1. Which is the closest to g? (a) -1 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 8*d**2 + 9. What is the lowest common multiple of n(-4) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*i - 38 = 0, 9*x = 32*i - 30*i + 192 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*k - 23 = 0, 11 = p + 13*k - 16*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292521 = 32*b - 76183. List the prime factors of b.\nAnswer: 2, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (102 - 4)\/((-2)\/(-3)). Suppose -y = -5*g + 3*u, -5*g + 5*u + 40 + 105 = 0. Suppose -9*l - g = -3. Which is the biggest value? (a) l (b) 6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77110?\nAnswer: 2, 5, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h. Suppose 0 = -158*l + 156*l + 122. Let a(p) = -33*p - 25*p + l*p. What is r(a(c))?\nAnswer: 57*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 13*o**2 + 17*o - 23. Let s(a) = a**3 + 15*a**2 + 18*a - 22. Let r(c) = -3*p(c) + 2*s(c). Let h be r(-7). Solve 0 = -h*g + 33*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14489 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 4)*4 - 0. Suppose w + t*w - 22 = 2*j, -w = -2*j + 2. Let q be 4\/w*81\/(-18). What is the closest to 2 in -4\/7, -5\/2, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 10268655.\nAnswer: -4107462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 17070*h**2\/7 - 102393*h\/7 - 153576\/7.\nAnswer: -(h + 3)**2*(h + 17064)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + z = 1269426, -611*l + 1692557 = -607*l + 5*z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-21))\/t)\/(t\/t**11))**(2\/7) assuming t is positive.\nAnswer: t**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.682005771 - 8.682. Round m to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70952 equal to -70952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 33*f + 15 = 0. What is the tens digit of (1 + -21)*(f + (1 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 832*q**2 + 57300*q - 1305000.\nAnswer: 4*(q - 75)**2*(q - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/33 and -127\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -192*q + 1. Let d be t(1). Let y = 53113 + -370452\/7. Let g = d + y. Sort 2, g, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40729 is divided by 2242?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6665 divided by -1333\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhheghhlmmlh. Give prob of picking 3 h and 1 g.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8 - -9) + 126\/4 and -17\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 49 - 100 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 215225*s**3 - 574066 wrt s.\nAnswer: 645675*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*y**3 + 5*y**2 + 82*y**3 - 2 + 9*y**2 as a + i*y**3 + c*y**2 + x*y and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 + 29*v - 51. Give w(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4453.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -4. Let j = k + -7. Solve 4*m + 8 = g, 2*m = 2*g + 3*g - j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) -0.3 (c) 1.48 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1036523?\nAnswer: -1036523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/5)*z\/(z*z\/(z**(-3\/2)*z)*z))\/(z**(-3)\/z**(-5)) assuming z is positive.\nAnswer: z**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -7*y**3\/6 + y. Let d(z) = -z - 13. Let l be d(-7). Let f be k(l). What is the highest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/3 + 9*d**2\/2 - d. What is w(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-208)\/20 - (-8 - -5). Does r = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2581 + 2635.15. What is r rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 675 - 632. Suppose -220803 = -g*f - 23734. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 155 = -3*b. Let a = b + -275. Let k = a - -187. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6210, 9465, 12720, 15975, 19230, 22485?\n\"Answer: 3255*p + 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/2 + d**4\/6 + d**3\/3 - 35*d + 3. Let k(j) = -j**3 + j**2. Give -h(u) + 2*k(u).\nAnswer: -12*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2029 - -141.7971. Which is smaller: 3\/11 or q?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 968\/(-242)*(-1)\/(-42)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u. Does 4 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-5) + 2 - 5\/50. Let q(a) = -a**2 - 6*a - 1. Let n be q(-5). Let w = n + -10. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331.10082 + 0.00082. Let n = u + 331. Let t = 645\/7 + -92. What is the nearest to 2 in -4\/7, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4599633 is divided by 34582?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4750 - -4750.14574. Round w to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/42 - o**5\/4 - 5*o**4\/12 - 6*o**2. Factor h(a).\nAnswer: 5*a*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 650.862 and -24.4683.\nAnswer: 626.3937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -1. Suppose -6*f + 46 = -f + 2*g, 0 = 3*f - g - m. Let r be 38 - (-4 + 0 + 2). What is the greatest common divisor of f and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1625*i + 350. Let l(p) = 28*p + 6. Let f(m) = -3*a(m) + 175*l(m). Let s(b) = 2*b. What is s(f(z))?\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 2 - -3)*-14. Let k = l - -21. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 3032*l\/3 - 2298256\/3.\nAnswer: -(l - 1516)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11 = 4*o, -n = -0*n - 4*o + 17. Let p = 396 + -398. Let i be 0\/(n + p + 0). Sort -1, -3, i in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 9*o**7\/10 - 27*o**6\/40 - 43*o**5\/20 + 3*o**4\/8 + 2*o**3 - 103*o**2. Solve y(x) = 0 for x.\nAnswer: -4\/7, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 639 = 5*u, -3*h = -2*u + 48 - 301. Let n = 234 + u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -1\/19 (c) 604657\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4 - 1\/4*r**2 + r = 0. Calculate r.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -381.5 - -382. What is the fourth biggest value in w, 0, -1\/5, 21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11094 + -488113\/44. Let o = -3\/11 + t. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 44. Calculate b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 9. Let m be 2\/(8\/14)*2. Let w be p(m). What is the second derivative of 2*d**2 - w*d**2 - 2*d**2 + 3*d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 5*z**8\/288 + 13*z**7\/126 + 3*z**6\/16 + z**5\/18 - 5*z**4\/36 - 19*z**2. Let r(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - -3 - (-3 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.72 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*x. Let k be 1\/5 + 11\/(-55). Suppose -c + 4*p + 2 = -k, 0 = -p. Solve 5*d + x*q = 3*d + 16, -4*q + c = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 251, 361, 469, 575, 679, 781?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1325 - 244*s**4 - 233*s**4 + 2565474*s**3 - 2565474*s**3 with respect to s.\nAnswer: -1908*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {t: 2, b: 1, y: 1, v: 2, u: 2, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-22)\/(p**(3\/8)*p*p*p**4*p))\/((p**0\/p)**(-1\/80)*p**7*p*p**(2\/9)*p) assuming p is positive.\nAnswer: p**(-11959\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8223000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 32*w - 2. What is y(-2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y = -64*y + 105. Let f be (13 - 70\/y)\/(3\/2). Solve f*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:19 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - -23.7. Let h = -25.2 + f. Put 1\/18, h, 0.2 in ascending order.\nAnswer: h, 1\/18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, e: 7}. Give prob of picking 1 e and 3 u.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 19*i = 105*i - 580. Let u(o) be the first derivative of o**6 + 8 + 0*o**2 + 5\/2*o**i + 0*o + 14\/5*o**5 + 2\/3*o**3. Solve u(w) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843626759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 190030135 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/3)*q\/q**(-2\/3)*q*q*q*(q**1\/q*q)\/q*q*q*q**(-2))**7)**(-2\/21) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/220850 and -42\/3155.\nAnswer: 220850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.4 and 0.1.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(117))*-6)**2*1 + -4*(sqrt(26)\/(sqrt(6)\/sqrt(3)) - (sqrt(13) + ((sqrt(91) + (sqrt(91) - 3*sqrt(91)) + sqrt(91) - sqrt(91))\/sqrt(7))**2)).\nAnswer: -864*sqrt(13) + 17044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3910\/4675 + (-8)\/(-22)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 3*w**2 - 2*w**2 + (-4*w - 5*w + 0*w)*(-2*w + 4*w + 2*w) to j + h*w**2 + r*w and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(12*(-5)\/(-80))\/138)\/(114\/(-76))?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:11 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 5850?\nAnswer: -79\/1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3426316 or 3426339?\nAnswer: 3426339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4 = -3*k - 5*u, 31*k + 29 = -64*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-21956)\/56 - 3\/7)*138\/(-115) is divided by 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*a + 2*a**3 + 29*a + (-5*a + 6*a + 4*a)*(4*a - 2*a - 3*a)*(-2*a - a + 4*a) - 3 + 3 - 4*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 31*d + 25. Suppose -29*c + 95*c = 1056. Determine n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7850 - 7850 + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.7 - -38.7. Which is the smallest value? (a) t (b) 4\/9 (c) -3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (4 - 10) + 51 + -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0.2, 1\/2, -3\/5, -3, -53 in descending order.\nAnswer: 1\/2, 0.2, -3\/5, -3, -53, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.17, 0.0073, -1\/5, 3\/2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:56 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179902*u**3 + u**2 - 2513*u - 73.\nAnswer: 1079412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + (sqrt(108)*-1 - sqrt(108)) + sqrt(12))\/(sqrt(750)\/sqrt(5)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2)*(-2)\/(-6). Let r = m - 4. Let p be 2 + ((-66)\/(-8))\/r. What is the smallest value in 0.3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 - -4) - (-10 + 16 + -26 + 130)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1562023*r**2 - 36046317*r?\nAnswer: 3124046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001848 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/9 + 118*g**4\/9 + 198*g**3 + 730*g**2\/9 - 14848*g\/9 - 6728\/3 = 0.\nAnswer: -29, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198, -204, -222, -258, -318, -408, -534?\n\"Answer: -f**3 + f - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (-2 + sqrt(162))**2 - (2*sqrt(128) + sqrt(128) - sqrt(128)).\nAnswer: -51*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -2*r, -2*n - 5*r - 31 = -35. Which is the closest to 0.1? (a) n (b) 11\/2 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 0.05, -1, 2, 1226 in increasing order.\nAnswer: -40, -1, 0.05, 2, 1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 554 - -43?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9420 and -93\/4708.\nAnswer: 11087340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 4*g**3 + 2*g**3)*(1 + 9 + 23)*(1 - 1 + 3)*(5 - 1 + 0).\nAnswer: -792*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 493.\nAnswer: 1\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167*n + 552 = 2121*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f**3 - 216*f**3 + 104*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*a - 1, 3*a - 4*a + 5 = -r. Let o be (-1053)\/(-360)*10\/6. What is the smallest value in 1, -0.5, a, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(48) + sqrt(3)) - (sqrt(3) + sqrt(27) + -5).\nAnswer: -19*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**2*c**2 - 1508*b**2 - 30*b + 929*c**2 - 22*c wrt c?\nAnswer: 8*b**2*c + 1858*c - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 - 28 = -4*n, 2*n = -4*f + 28. Let p(z) = -z**3 + 4*z**2 + 8*z - 4. What is p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (7 + -4 - -1). Solve 5*x = -l*h, 0 = -5*x - 3*h + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**2 + 17663319*y + 5046662.\nAnswer: (y + 2523331)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 22*n**2 - 25*n + 51. Let s be q(23). Suppose -p + 5*i = i - 246, 0 = -2*p + s*i + 489. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 457 - 1827\/4. Determine k, given that 1\/2*k + 3\/4 - b*k**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 + 10 + 0. Suppose -5*t = h - 12. Let c(k) = 14*k**3 - k. Calculate the remainder when c(t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -72*l**2 - 159*l - 14. Give y(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {r: 1, c: 1, m: 1, e: 2, h: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -29 + 1938 - (-72)\/(-4) is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-3 + 87 + -106 + 28. Let s be ((-2)\/(-18))\/(23\/(-3)). Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -802, -803, -804, -805, -806?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -3*c + 2*r, 3*r = 0. Let y(z) = -z - c - 1 - 2 + 0*z. Let g be y(-11). Put 0, 1, g in increasing order.\nAnswer: 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + -77. Let q = -42 + s. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9748909 millennia to decades.\nAnswer: 97.48909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 714 = -126*k - 40*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2246 + 0.1696. Which is the fourth biggest value? (a) -1 (b) -3 (c) 3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-32) + (-1)\/(36\/(-46427)). Suppose 2*a = 4*k - 168 + 5322, -k + 5*a = 1311. Let z = n + k. Calculate the common denominator of 107\/10 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 4132959.\nAnswer: 2066479.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -12. Let i = f - -28.3. Let x = 2.8 + 1.2. What is the biggest value in -0.3, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16406 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -60, -210, -504, -990?\n\"Answer: -8*p**3 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121.7 + -117. Let t = m - 5. What is the second biggest value in 0.3, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2)*(-59)\/472?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 0, o + 2*o - 5*l = -79. Let y be (-204)\/o - (24\/(-28))\/(-3). Let k(d) = -4*d**3 + 9*d + 6*d**2 + d**3 - 6 + 2*d**3. Give k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.041499 microseconds to seconds.\nAnswer: 0.000007041499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 - 21*l**2 - 34*l - 94. What is j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -30*s + 70. Let p be -2*(0 + 1) + 4. Suppose -756 = -s*o - p*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993536 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 18*g + 34064. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116040 by 38680.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111175 + 5?\nAnswer: -111170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0705a + -10?\nAnswer: -a0706a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 14 - 28 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let l(a) be the third derivative of -5*a**4\/24 + a**3\/6 + 4*a**2 + 9. Calculate l(o(x)).\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + u + 29 = -21, 5*l + 3*u = -66. Let r be 9*(l\/(-3))\/(-12). Is 60\/((-1 - r) + -1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 14*c - 15. What is k(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 1. Calculate the greatest common factor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3732479ug to milligrams.\nAnswer: 0.0003732479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609004, -608995, -609000, -609025, -609076, -609159?\nAnswer: -609280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from thgxxggtttg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/6 - 7*i. Let t be w(3). Suppose -n + 5*r + 305 = 0, 0*r = t*n + 5*r - 915. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13332 + 320?\nAnswer: 20312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 43*g + 49 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 936198376 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 + -5. Which is the closest to 16? (a) 0.3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -45. Let r = 37 + t. Suppose -r*g + 9990 = -0*g. What is g rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -3*q, q + u = -3*q + 5. Suppose 4*x + p - 11369 = 0, 7*x - 5*p - 14230 = q*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457315?\nAnswer: 5, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88\/12*54\/(-6)*(-14)\/21\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8449?\nAnswer: 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4948427.\nAnswer: 11, 23, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -7.99, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:50 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 185 = -w, -425 = -3*w - 2*l + 160. Calculate the remainder when w is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - (sqrt(720) - (sqrt(720) - (sqrt(720) + sqrt(720) + sqrt(720)*-1)))) + sqrt(720))\/((sqrt(99)*-1)\/sqrt(11)))**2*-3.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -84.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:42 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - 0 - 6\/12. Suppose 19 = 2*x + j, -4*j + 28 = -o*x + 4*x. Let l(i) = i**2 - 10*i + 5. What is the units digit of l(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.28.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6943645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -3 (d) -0.05 (e) 1892\/3 (f) -5 (g) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21431631 (base 8) to base 15.\nAnswer: -60d2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 59 + 541 = 79*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 13*z + 5. Suppose -2 = -4*h + 106. Suppose 25 = 4*u - h. Let s be v(u). Solve s*c - 3*c = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10330230221 + 211?\nAnswer: 10330231032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -111*v - 658. Let r be x(-6). Solve o = -j + 4 - 3, 4*o = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*i + 2, 3*i - 31 = 5*o - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171525387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*d + 130777 = 156*d + 447137. Round d to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-1 - -19) + 1 + -15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h - 8. Let x be u(-6). Let v be 3 - (x - -2 - -1). Suppose 4*y + 11 = -3*n, 20*n - 25*n - 22 = 3*y. Put v, y, -2, -10 in descending order.\nAnswer: v, y, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15225 = 5*p - 2*d, 0*d - d = -p + 3042. Suppose 6*g = -305 + p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3321, 2\/27, -3\/7, 0.5 in descending order.\nAnswer: 0.5, 2\/27, -0.3321, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961307934?\nAnswer: 2, 3, 160217989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:58 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261450053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 615. Let g(j) = j - 101. Let t(d) = 30*g(d) - 5*w(d). Give t(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -278 - -489. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3778470 and -71\/30.\nAnswer: 3778470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 381 + -339. Does 41 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/47)*c)\/(c*c\/c**(6\/17)*c*c) assuming c is positive.\nAnswer: c**(-2149\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695854455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/26*1)\/((-19898)\/(-129337))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaal when four letters picked without replacement from aahla?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8516673 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -80. Suppose -w = a + l*a - 136, -3*a + 5*w = -76. Let g(p) = 28*p**2 - a*p**2 + 2*p - 7*p**3 + 3*p**3 + 1. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 2*f + 90. What is the hundreds digit of 23\/(0 - (-3)\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3 + (5 - 5 - 1)*(-1 + 3 - 3))*(y**2 - y**2 - 8*y**2) + (3*y - 2*y + y)*(-y - 1 + 1) + y**2 - 2 + 2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**7\/28 - 7*f**6\/20 - 3*f**5\/8 - f**4\/8 + 7*f. Suppose k(r) = 0. Calculate r.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -2\/85, -1.64562?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + -38 + (-22 - (26 + -37))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 29*t + 21 = 0. Suppose t*s - 16 = 5. Solve -s*q + 2*q + 1 = -u, 3*u = -2*q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.05, -1, -0.2, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:16 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 17. Let n be z(14). Let c(x) = 35*x - 19*x + 2*x**2 + 0*x**3 - 2*x**n - 15*x. What is the remainder when c(-3) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6518 - -6517.99990626. What is j rounded to six dps?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -72. Suppose 1684 = z*c + 124. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000423821 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127625668.\nAnswer: 2, 31906417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1002011011010 (base 3) to base 4\nAnswer: 2030012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -2, 5, -20, 3 in ascending order.\nAnswer: -20, -15, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6\/11)*m\/((m**(-5)\/m)\/m)*m*((m*m**11*m)\/m)**(1\/18) assuming m is positive.\nAnswer: m**(301\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203468613 or -203468609?\nAnswer: -203468613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124.0851 + -0.0851. Let m = -122 + f. Is m at most -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 31*d**2 + 2*d + 2. Suppose -129*c + 138*c + 54 = 0. What is the remainder when p(-2) is divided by ((-49)\/14 - c)\/(10\/168)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/30 - m**4\/12 + 2*m**3\/3 - 15*m**2. Find i such that g(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -70*w**3 + 3*w**2 + 3*w + 1. What is the remainder when g(-1) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/12)\/(1\/(-58))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/8 + -1\/24. Let d be 3\/(-45)*3 + 2\/(-15). Put d, g, -1\/4 in descending order.\nAnswer: g, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1482\/(-2717))\/(10\/(-11))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/10 + 3\/(-15). Let a be (1 - -1)\/t + (-90)\/(-8). Suppose 0 = -8*r + a*r - 639. Is r a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 0, 14.\nAnswer: 0, 6\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -96, -92, -88?\n\"Answer: 4*d - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 52622032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 436, 654, 872, 1090, 1308?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2310200 (base 8) to base 11\nAnswer: -398a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 6. Let f = x + 35. What is the third derivative of f*g**4 + 7*g**2 - 2*g**2 - 8*g**4 + 2*g**2 wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 365588972 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11001?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzijiia. Give prob of picking 1 j and 1 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/23984 and 7\/2026648.\nAnswer: 4053296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2490444, -2490452, -2490460, -2490468?\n\"Answer: -8*q - 2490436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 114. Suppose p*n - n + 0*n = 0. Let k(i) = 3*i**3 + 2*i**2 - 1. Let z be k(1). Solve -4*q + 37 = q + z*o, n = 5*q - 5*o - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6559 and -6491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 2. Let q be 7*((0 - -1) + -2). Let p(a) = 9*a + 5. Give q*v(c) - 3*p(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34183010791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3780 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*v = -610*v + 2638242. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuuuuuuuuluuuuluu?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(228)\/(sqrt(132)\/(sqrt(22)\/sqrt(2))).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 125 + 130 + 5345*w - 402.\nAnswer: 5345*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8014 = -48*x + 839*x + 2477 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from vuvvvvvvvvvvvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713716?\nAnswer: 2, 19, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53986 - -79677. Is q a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12214*o + 11297944. Give q(-925).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2867570 (base 9) to base 10\nAnswer: 1580211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**4\/24 - 3*c**3\/2 + 3*c**2. Let p be r(12). Suppose -4*o - p*o + 21 = 0. Do 2 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Suppose 0 = -4*m + 8*m + 1116. Let o = m + 2793\/10. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835554.\nAnswer: 2, 7, 131111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 54*x**2 + 58*x - 148. Calculate the remainder when 82 is divided by a(55).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(75) + 2)*3 + (sqrt(75) + -2 + -1)*-3)*-2*-6)**2*4.\nAnswer: 254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/2)*i**(1\/3)*(i\/((i**1*i)\/i))**(-29))**6)**7 assuming i is positive.\nAnswer: i**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(-6)*6\/84*3\/105?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(-17*1 - (398 - 414)). Which is the third biggest value? (a) 0.1 (b) 118 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 329*(-44)\/924*-3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*v**5 + 63548*p*v**2 + 167*p*v + 4*v - 118 wrt v?\nAnswer: -40*p*v**3 + 127096*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**2 + 1332*v = 0.\nAnswer: 0, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1023652 and 1023651 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 3*w. Let b be r(4). Suppose u = 3*u - b. Let v(a) = 11*a + 114. Calculate the least common multiple of u and v(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (-3)\/((-6)\/(-4)) + 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 808*p**3 - 383*p**3 + 478*p**2 - 2 + 489*p**3 + 182*p**2 wrt p.\nAnswer: 5484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:53 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2521 - -17765\/7. Is k != 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -0.07698555?\nAnswer: -7.07698555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let f(r) = -572*r**2 - 716*r**2 - 458*r**2 - 11 + 11. Calculate f(m(z)).\nAnswer: -6984*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = 48*o + 5998. What is the smallest value in o, -5, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6807 - 9787.\nAnswer: -2980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5811.8 - 5812. Sort 2808, 4, -2\/7, n in descending order.\nAnswer: 2808, 4, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -67*m + 508. Give f(3).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 862.346019 and 1.9?\nAnswer: 860.446019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31744 - 23872 + 1962*a - 16052 wrt a.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 2. Let k be x(-2). Suppose -5*v + o - 21 = -3, 3*v = -o - 14. Let p(w) = 4*w**2 + 13*w - 7. Let n be p(v). Solve -d + n - 4 = k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*x + 7159 + 1993 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y**2 - 21 + 45*y + 25)*(-2 - 2 + 2*y + 6).\nAnswer: -4*y**3 + 86*y**2 + 106*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o**2 + o + 1. Let u be f(-1). Suppose 207 = 3*a - u. Suppose w - 4*w + a = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 + 10.78. Which is smaller: 2\/7 or v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 2416 - 785 - 853 - 776.\nAnswer: 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 - 204582*v**4 + 204531*v**3 + 3273204*v**2 + 4091580*v = 0.\nAnswer: -2, 0, 5, 68193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 2*x - 3*x)*(-3*x + x**3 + 3*x) + (3*x + x - 3*x)*(-8*x**3 - 10*x**3 + 54*x**3) in the form f*x**4 + s + v*x + i*x**2 + u*x**3 and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 1, a: 1, e: 2, b: 1}. Give prob of sequence ae.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let k = -822.142 - -823. Let s = 0.838 - k. Sort s, b, 5 in decreasing order.\nAnswer: 5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 1. Let a be j(1). Let z(h) = -3*h + 7. Is 8 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 5975. Let x(m) = -23*m**2. What is c(x(b))?\nAnswer: 69*b**2 - 5975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*11.5\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2508 + 589 = -5*k, 4*o - 1145 = -3*k. Suppose 1338 - k = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w - 71. Let m be l(-9). Let z(k) = -3*k - 1. Let c be z(3). Let u(p) = -p - 10. Let g be u(c). Solve 5*x = -g*x - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 + 2 + 8)) + 6 + -20.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4623*x**2 + 3*x - 2. Let s(k) = -4*k**2 - k. Calculate -q(h) - 3*s(h).\nAnswer: 4635*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 6. Let d = 209 - 208. Which is the closest to 0.1? (a) d (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413278\/7 or 1\/22?\nAnswer: 413278\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1000804 and 37324.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.444, -1\/3, 190, 5, 4, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 114.643323us?\nAnswer: 0.0000000013268903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*h**4 - 7*h**4 + 0*h**3 - 14*h**2 - 2*h**3 + (-2*h**3 + 3*h**3 - 2*h**3)*(4 - 4 + h).\nAnswer: h**4 - 2*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 15*d - 969. Let m be ((-19)\/d - (-7)\/3)\/1. Factor -1\/2*b**3 + 3*b - 4\/3 - 7\/6*b**m.\nAnswer: -(b - 1)*(b + 4)*(3*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/735 - 9*n**5\/70 + 9*n**4\/14 + 1126*n**2. Factor a(j).\nAnswer: 2*j*(j - 3)**2*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -140. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03624 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 - -8?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3022 * -10.0015.\nAnswer: -30224.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a10 + -12a?\nAnswer: -b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4902.051 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/45 + 4*u**4\/27 - 50*u**3\/27 - 56*u**2\/9 - 467*u + 1. Factor z(j).\nAnswer: 4*(j - 4)*(j + 1)*(j + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1328974765 and 0.4.\nAnswer: 0.0531589906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 11*g - 11*g + 22*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 6439016*j - 5182615881032 = 0. What is j?\nAnswer: 1609754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 115439727.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4313, -38332, -130661, -310454, -606865, -1049048, -1666157, -2487346?\n\"Answer: -4859*t**3 - t**2 - 3*t + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s*s\/s**(7\/9)*s assuming s is positive.\nAnswer: s**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4)\/i)**(-31)\/((i*i*(i*i**9)\/i*i)\/i*i**(-7\/4)) assuming i is positive.\nAnswer: i**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722 + -721.483. Round g to two decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 13*d**4\/6 + d**3 + d**2\/2 - 13*d - 12. Let v(n) be the first derivative of j(n). Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 - m. Let l be t(-2). Suppose 8*s - l = 7*s. Suppose -z + s*z = -3*j + 19, 2*z - 54 = 2*j. Solve -4*o = o - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 6*t - 368. Let g be (0 - t\/(-3)) + 4\/(-12). Solve -5*s + 2*k = -g, -5*k = s - 8 - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 5.8.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12860, 12827, 12768, 12671, 12524?\n\"Answer: -2*w**3 - w**2 - 16*w + 12879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -37*n**2 - n + 1. Let a(m) = 38*m**2 + m - 1. Let k(o) = 5*a(o) + 6*x(o). Let p be k(1). List the prime factors of (p\/(-48))\/(2\/111).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23030012 + 3102?\nAnswer: 23033120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-27)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 6571. Let p(d) = 4*d - 13176. Calculate 3*p(i) + 5*s(i).\nAnswer: 2*i - 6673","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326249611133 - -0.4.\nAnswer: 326249611133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/126 and -103\/1624?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1621993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31065 + 10797. Is -20268 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 - 10*t**4 - 16*t**3 - 8*t**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295490651 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2749.1 + 2749. Which is the closest to 0.003? (a) w (b) -1\/9 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2*-33*24\/(-1584). Solve 2\/3*p - 2\/3*p**3 + 0 + b*p**2 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/((-2)\/(-40)). Let g be 4\/(-8)*(t + 2). Suppose 5*q + 4*w = 60, -2*q + g = 4*w - 21. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1688*w**3 + 2*w**2 - 2*w. Let x(d) = 3391*d**3 + 5*d**2 - 5*d. Determine 5*v(k) - 2*x(k).\nAnswer: 1658*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4 + 3*b + 3 - 4*b + 4. Let d be u(0). Solve -9 = 5*i + d*m + 1, 2*m = -4*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*q + 666 = 117 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233b (base 14) to base 8.\nAnswer: 13761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or -294?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 8 - 5*l**2 + 4*l**2 + 7*l - 7*l**3. Let f(t) = -6*t**3 - 5*t**2 + 6*t + 7. Let b = -155 + 150. Give b*k(s) + 6*f(s).\nAnswer: -s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 11835?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 2. Suppose 2 - z = -4*d. Suppose b - 2*y - 1 = 0, -3*y = -d*b + 6 - 0. Solve -b*t + t = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 6*s + 8 = 0. Let v = 4 + -4. Let t = 71\/2 + -359\/10. Which is the nearest to s? (a) -1\/6 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -44. Suppose -2*h + 630 = -3*f, 0 = 7*h - 4*h + 2*f - 906. What is the highest common factor of l and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 29*u - 65. Let n be h(26). Let r = 193 + -191. Solve -3*f + r = -5*i + 7, -i + n = -3*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*u + 1342 = -103 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-3075)\/900)\/(5\/(-60)*-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.192 - -0.192. Let l = 0.0217 - 0.0007. Is z at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 4. Let u be o(0). Which is the biggest value? (a) 0.4 (b) -2\/7 (c) 2\/13 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2. Let k(l) = l**2 + 6*l + 3. Let n be k(-6). Suppose -3*m = -n - 3. Let p be a(m). Solve p*z + 9 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3333, -2983, -2633, -2283?\n\"Answer: 350*q - 3683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27342 and 13448358.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + o + 2 + 41*o**2 + 0*o - 16*o**2. What is the tens digit of x(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(10\/(-40) - (-13)\/4). Suppose -3*r - 21 = -4*c, 3*c + 2*r + h - 3 = 0. Calculate the lowest common multiple of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 0.08. Let b = 0.1 - z. Let q = b - -0.32. Sort 5, -5, q in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513344437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) 0.4 (c) -487 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.118 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(45) + sqrt(45) + -1 + -4 - (sqrt(135)\/(-2*sqrt(3)))**2)*3).\nAnswer: -975\/4 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 756, 1502, 2224, 2910, 3548, 4126, 4632?\nAnswer: 5054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w**(-6)*(w**0)**(-23) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*s + 5*s + j, -4*s + 84 = -4*j. Calculate the greatest common factor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 222\/(-42) + 13290\/(-35). Do n and -379 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.27 + -1.27. Let n = 81.2 - k. Let g = 6.4 - n. What is the closest to -0.04 in -4\/3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x**3 + x + 2. Let r(q) = -87*q**3 - 17*q - 12. Calculate 2*r(d) + 11*t(d).\nAnswer: 13*d**3 - 23*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 445517, 445524, 445541, 445574, 445629, 445712, 445829, 445986?\n\"Answer: z**3 - z**2 + 3*z + 445514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481532 is divided by 123460?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let r be (-250)\/(-20) + (-1)\/l. Calculate the remainder when (-1)\/(r\/4)*-117 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.338 - -0.337999759. What is o rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(-10\/3)))\/j)\/j)\/j)**20\/((j**(-1\/2)\/j)\/(j**(-9\/7)\/j)) assuming j is positive.\nAnswer: j**(-5353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10888197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1988, -2996, -5706, -10970, -19640?\nAnswer: -32568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 722.5928 weeks?\nAnswer: 121395.5904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1748, -2361, -3348, -4709?\n\"Answer: -187*o**2 - 52*o - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1\/((-28)\/(-4)). Let s = 0.241 - -4.759. Put s, -0.5, m in decreasing order.\nAnswer: s, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/44268 and -149\/63240?\nAnswer: 442680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/5, -1\/10, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44289\/12 + 18\/(-24). Is -4 + b + -1 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 10. Let l(g) = 9*g**2 - 3*g + 1. Suppose h = 2*h - 2. Calculate the remainder when l(h) is divided by j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/115 + -7923\/230. Which is smaller: -34 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaawwa. What is prob of sequence aa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23059525 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2 + 2\/2). Let l(w) = w**2 + 2*w + 1. Let m be l(g). Suppose -j + z + 19 = 0, 4*z + 16 = -m. What is the remainder when 39 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2, -2*q = 2*t + 2 - 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2680*c**4 - 16*c**2 + c - 700415?\nAnswer: 10720*c**3 - 32*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - y = 39, -2*y + 5*y = 9. Suppose 0 = -s + 3*m + n, -m + 10 = -3*s - 5*m. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 65, 72?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187 + 192. Suppose d - 436 = -g, 0 = -3*d + b*d - 4*g - 860. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60916384 a multiple of 1712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = -3*s, -5*s - 2*z = -1538 + 1519. Let p(l) = l**3 - 2*l**2 + 2*l. Let a be (1 - -1) + 0\/1. Let w be p(a). Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -13301961.\nAnswer: -13301960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) - (-10)\/(-15). Suppose -4*h - 62 = -5*y - 0*h, -y + 8 = -3*h. Suppose -r*q + y = -q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12300975 to 4 dps.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 376721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -66, -159, -298, -489, -738?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - 2*u, -p + 6*p - 1 = u. Let v = -1047 + 1802. Suppose 0 = 5*a + 775 - v. Sort 4, p, a.\nAnswer: a, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1507*o + 1511*o = 28, -w + 1 = -18*o + 51 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -29, -29, -49, -101, -197, -349, -569?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 25*g**3 + 3*g**2 + g. Let a(i) = 3*i**2 + 60*i**3 - 2*i**2 - 59*i**3. Let x(j) = -3*a(j) + f(j). What is the second derivative of x(d) wrt d?\nAnswer: 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5 (b) -0.08 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/((-12)\/108)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -63. Let s(j) = -j + 2. Let b be s(m). Suppose -i = q - 26, 4*q + 18 + b = i. Calculate the remainder when 48 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 5:55 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106864879 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose 3 = a*d - 43. Suppose 8 = -s + d. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2991 + -2986. Put p, -3, 0.1 in decreasing order.\nAnswer: p, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 441, 1480, 3497, 6816, 11761, 18656, 27825?\n\"Answer: 54*z**3 + 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399230 divided by 2?\nAnswer: 199615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 32 = -3*z, -15 = 3*l. Suppose 3*x - 3 = 0, 4*t - t - 341 = x. Calculate the greatest common divisor of t and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 - 5*d**4 + 5*d**3 - 2*d**4 - 2*d**4 + 2*d**4 + (2*d + 0 + 0)*(3*d**2 - 3*d**2 - 3*d**3) + d**4 + d**2 - d**2.\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 1, y: 7, v: 3}. Give prob of picking 1 u, 1 v, and 2 y.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -58, -868 in ascending order.\nAnswer: -868, -58, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15756 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 - y - 2. Let b = 3 - 0. Let s be z(b). Suppose -s*g - 2 = -22. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123160697?\nAnswer: 11, 1017857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -237344. Let w = z - -535342\/9. Let j = w - 14053\/90. What is the common denominator of j and 12\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizz when four letters picked without replacement from zzwwiiwzwzzz?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111020022 (base 3) to base 15.\nAnswer: -e7c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 6 = -2*m - 3*t, 5*m - 5*t = 5. What is the least common multiple of m*7\/147 - (-128)\/14 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153112 - 153106. Let d(t) be the second derivative of t**3\/2 - 13*t**2\/2 - t. Give d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, z: 6}. What is prob of sequence zllz?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/7 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24. What is the least common multiple of 86 and 6 - ((w - -5) + -3)?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0173 - 0.3173. Which is the closest to 2? (a) 3 (b) v (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 155710*h + 1245690. Determine f(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 5 - 5 + 4*h - 4*h + 2*h + (3*h - 2*h - 5*h)*(1 - 3 - 1).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1201328 (base 11) to base 2\nAnswer: 111111111100100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t**(-2\/5))\/t)**(-13)*t**(4\/9)\/(t\/t**(-3\/7)) assuming t is positive.\nAnswer: t**(-6862\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*39\/(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 33 = -3*k. Let m be 222\/k - (-1)\/(-6). List the prime factors of (-52)\/6*m\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/2*(4\/12 - (-50)\/(-42)). Solve -u - s*z - 4 = 0, -3*u + 2*z - 5*z - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*p - 0*u + 2*u, p + 36 = 5*u. Let q = p + 10. Let h be (-15)\/9*(q + -2). Let t(i) = -i**3 + 5*i**2 + 2*i - 6. Calculate t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let s = -615 - -700. Let n(t) = 40*t - s*t - 37*t. What is n(q(x))?\nAnswer: 164*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*i + 6*i = -4, -i = 1. Let j be (6\/(-4))\/(234\/(-314)). Let c = -13\/6 + j. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5620380439 to four dps.\nAnswer: -0.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.043 - -0.957. What is the closest to 0.1 in -1, q, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5 + 3208*p**4 + 65448*p**3 + 257344*p**2 - 723844*p + 397848 = 0.\nAnswer: -11, 1, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4783, 4642, 4405, 4072, 3643, 3118?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/12 - 55*a**4\/6 - 70*a**3 - 1314*a**2. Factor q(k).\nAnswer: -5*(k + 2)*(k + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1905319 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13590764227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3654, -3800, -3946, -4092, -4238?\nAnswer: -4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - q - 20 = 0, l = -5*q + q + 25. Let k be (-1)\/l + 36\/5. Let s = 5 - k. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1017 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 10*p - 2*h - 116, 2*p - h = 115. Suppose 0 = -p*b + 65*b - 128. Calculate the remainder when 98 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -254, 0.2, 3, -209, 2?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19953783.\nAnswer: 3, 246343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -35\/38 (b) -9 (c) 1\/3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-465 + 465 - 436*j)*(-14 - 19 + 7).\nAnswer: 11336*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 100?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x*x*x\/(x*x*x\/(x\/x**(-1\/8)))*x*x**6\/x*x**4*((x**(1\/4))**(-4\/19))**(2\/57) assuming x is positive.\nAnswer: x**(44387\/8664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, 598, -0.1, 12.954, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83 - -944?\nAnswer: 9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/((-8265)\/1247)*6?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 7*z. Suppose -16*v + 5*v = -66. Calculate the remainder when d(v) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 5*y - 5*y - y**4 - 3*y**4 + 3*y**4 + (-3 + 3 - 2*y**3)*(-y + 2*y - 3*y) + (2 + 3 - 8)*(-5*y**4 + 3*y**4 + 3*y**4).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/2 - 9*v**5\/5 + 3*v**4\/2 - 3. Factor i(k).\nAnswer: 3*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 m when four letters picked without replacement from {m: 11, i: 1, d: 8}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 18. Let y(s) = -s - 1. Give -t(l) - 4*y(l).\nAnswer: -l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2561629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*d + 26, 4*f + 3*d + 12 = 78. Suppose -350 = -5*w - 5*s, -15 = -w + 2*s + 49. Calculate the remainder when w is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + ab543b?\nAnswer: ab5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4826?\nAnswer: -1\/2413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**3 + 0*n**3 + 15*n**2 - 7*n**3 + 2*n**3 - 11*n**3 - 10*n**4.\nAnswer: -5*n**2*(n + 3)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 67. Suppose 0 = -4*r + 3*r - n + q, -n + 64 = 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 8*y + 16. Let s(u) be the second derivative of -2*u + 4\/3*u**y - 4\/9*u**3 + 1\/18*u**4 + 0. Factor s(a).\nAnswer: 2*(a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15576 and 765820.\nAnswer: 4594920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2986 and -187.34.\nAnswer: -559397.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 4e689?\nAnswer: -4e689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)*-2 + (-54)\/(-27). Suppose -4*a - 4 = -4*w + w, 3*a + g*w = -3. Put 5, 1, a in ascending order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*i + 4*i - 8, 10 = -5*i. Let b be 4 - (1 + 2 - a). Solve -2*w - 24 = b*u, -2*u - 5*w = -0*u + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551.83*0.1.\nAnswer: 55.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5075*p = 10162*p - 5013*p - 2664 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-5*-4)\/(sqrt(99)\/((sqrt(576) - sqrt(576)*-2) + sqrt(9))) + 3.\nAnswer: -1000*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -5 (c) -2\/229 (d) 2 (e) -1740\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddrrr. Give prob of sequence rd.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, r: 1, a: 5, p: 9, l: 1}. What is prob of sequence aly?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/13, -6, -21\/2 in decreasing order.\nAnswer: 0.1, -2\/13, -6, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Suppose -9*d = -3*n - 6*d - 1755, -4*n = -5*d + 2344. Let o = n - -572. Is o not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 39582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 141, 238, 355, 492?\n\"Answer: 10*p**2 + 47*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 6*l)*(3 + 1 - 2) + (2*l + l - l)*(2 + 2 - 5) + (2*l - 5*l - 2*l + (3 - 1 - 1)*(-4 - 2*l + 4))*(12 - 2 + 2).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616)*-3 + sqrt(5616) + sqrt(39))\/sqrt(3) - (sqrt(637) - -2*sqrt(637))**2*-2.\nAnswer: -23*sqrt(13) + 11466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2827711 and 211631?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 18 in descending order.\nAnswer: 18, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:51 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 21*k + 26. Let z be (-1)\/4*-2*6. Suppose -2*v = -3*v + 2. Put v, k, z in descending order.\nAnswer: z, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 1\/2, -0.07, 0 in decreasing order.\nAnswer: 1\/2, 0, -0.07, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l - 24*l - 1885 = 51*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 + 63*w**2\/2 - 147*w.\nAnswer: -3*w*(w - 14)*(w - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -54. Let x = c + -17. Suppose 2*k = p - x, 4*p - 3*k - 20 = -5*k. Solve -2*d + 11 = -3*v, 2*v = 4 - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/7473125 and 37\/1100.\nAnswer: 29892500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*c - 63 = 0, c = -n - 2*c + 29. Let v(q) = -6*q**2 + 4*q**2 + 200*q - 206*q. Let i(o) = 6*o**2 + 17*o. Determine n*v(p) + 6*i(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -773 - -959. Calculate the highest common factor of 5270 and r.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((((y\/(y*((y*y\/(y**(-35)*y))\/y)\/y))\/y)\/y)\/y)\/y))**(-50) assuming y is positive.\nAnswer: y**(-1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63736836, 63736835, 63736834, 63736833, 63736832, 63736831?\n\"Answer: -i + 63736837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*((sqrt(1900) + sqrt(1900) + 2)*-6 + 2))**2.\nAnswer: 60000*sqrt(19) + 6842500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:06 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:25 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ybybyffy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/25)*q*q*q*q**(-10\/7)\/q assuming q is positive.\nAnswer: q**(289\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1210\/45109, 0.3, 2 in ascending order.\nAnswer: 1210\/45109, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u - 5. Let z = u - -24. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 121, 151, 181?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 + 35855*k**2\/7 + 46378696*k + 8316641424.\nAnswer: (k + 183)*(k + 17836)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1230880 or -1230879?\nAnswer: -1230879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.96371ml to litres.\nAnswer: 0.04296371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -31. Let c be (19*(-3 - (-4)\/n))\/(-1). Let y = c + -11. What is the least common multiple of 18 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 3*m - 2. Let t be o(-2). Is (-5 - t)\/((-1)\/33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 8. What is l(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 17 = -0*i - 3*t, 2*i + 13 = -3*t. Let o be -2 + 0 + i + 3. Let w(r) = 5*r**2 - 2*r - 1. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -836*w**2. Let n(u) = -12*u - 4. What is n(h(t))?\nAnswer: 10032*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w + 3*z - 6, -3*z = -w + 16. Is (-5 - (-74547)\/w) + 6\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cd - 1?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:57 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 - 26950*y**2 - 80836*y - 53888 = 0?\nAnswer: -13472, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4360*h**3*t**3 - 69*h**2*t**3 + 2*t**3 - 37*t**2 - 7*t - 172 wrt h?\nAnswer: -13080*h**2*t**3 - 138*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = 3*i. Let o(x) = 0*x - i - x - x - x**3 - 1 + 4*x**2. Let y = 385 + -382. Determine o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 16. Let u(d) = 12*d**2 + d. Let o be u(2). Let w = v + o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -2, -114 in ascending order.\nAnswer: -114, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -60327030 and 0.\nAnswer: -60327030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1791, -7815, -19023, -36369, -60807, -93291, -134775?\nAnswer: -186213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:30 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003569286 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + p - 19 + 37, 0 = -4*v - 4*p - 32. Let z(u) = -u**3 - 3*u**2 + u + 2. Let c be z(-2). Is c at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 19*b**3 + 3*b**2 - 10*b - 12. Let d(c) = -76*c**3 - 11*c**2 + 39*c + 46. Determine 6*d(p) + 23*x(p).\nAnswer: -19*p**3 + 3*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 + 2*f + 3. Let u(v) = -4*v**3 + 9*v**2 + 9*v + 13. Suppose 3*y = 6, 4*n - 5*y = 78 - 96. Calculate n*u(l) + 9*r(l).\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 3729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 5)*(13*z**3 - 6*z**3 - 2*z**3).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-342)\/12*6\/9*-34 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -7 + 2*(-3)\/6. Let b(u) = 6*u**2 - 6*u - 29. Does 27 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 7897\/(-371) + 6\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q. Let m(x) = -8*x**2. What is m(t(r))?\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*o = -0*o - 11, 6 = 2*v + 4*o. Let q = -28\/99 + -152\/99. Let r = q - -38\/33. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-72) - (-6)\/27. Let o = k - 3\/4. Suppose y + 10 = -4*y. Which is bigger: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 - 708 = -211*g - 105 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*j + 10. Calculate the remainder when 3*((-12)\/27 + (-975)\/(-27)) is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9) - 24\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 25*n)*(-4 - 11 + 8) in the form j*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) + 13\/3. Suppose y = -w*y + 20. Solve -y*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -592232526*x - 214040031 wrt x?\nAnswer: -592232526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imjj. Give prob of picking 1 m and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 11986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f**2 - 81*f + 5. Let t be g(-8). Which is the second biggest value? (a) -9 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32401 - 120897 = -42*c + 195802. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - -8. Suppose -2*d = -m - 2765. Suppose d = p + 2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 2, p: 2, h: 1, f: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -78. Let h be (k\/6 - 4)*-18. Solve 4*d = d - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 - 23*d**3\/3 - 13*d**2\/2 + 24*d - 22. What are the prime factors of f(-23)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420 + 1?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -11*u + 16*u, -u = 5*i + 17. Let c(m) = -m**3 + 3*m**2 - 3*m + 4. Calculate c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-3)\/(-4)*(-1376)\/(-36). Suppose 5*u + 98 = t. What is the greatest common factor of u and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27 - -3)\/(-3) - -2. Let v = -2 - d. What is the remainder when 11 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i. Let o(z) = 14*z + 9*z + 7*z - 28*z. Determine h(o(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -0.12. Let z = -1.56 - u. Let v = 1.59919 + z. What is v rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -87 - (1114 + -1080)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*s + 4 = 0, s = -9*r + 5*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14839*r = -4*o + 14834*r - 71, 6*o + o - 2*r = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnggcacngu. Give prob of picking 2 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2794, -6103, -9414, -12727, -16042, -19359, -22678?\n\"Answer: -v**2 - 3306*v + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 v, and 1 m when four letters picked without replacement from xddmdvxxxdxddxxd?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 751338 = 110*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/109 in -36\/235, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - 3*h)*(-h - 2*h + 0*h) - 2*h**2 + 3*h**2 + 2*h**2 + (-3*h + 0*h + 4*h)*(0 + 0 - 2*h) + h**2 - 3*h + 3*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/70 + ((-14)\/133 - 18\/190).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2726, 2727, 2728, 2729, 2730, 2731?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -12. Find the third derivative of 0*o**3 + 2*o**3 - 2*o**2 - o**3 - z*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 294 - 2*y + 142.\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**3 + 2*g**2 + 89741*g + 137292957 wrt g?\nAnswer: 12*g**2 + 4*g + 89741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285272*a + 114 - 14 = 285292*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(1539) + sqrt(1539)) + ((sqrt(1539) + 2)*5)**2.\nAnswer: 954*sqrt(19) + 38575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 6. Let v be i(-5). Let w be (150\/v)\/(9\/(-6)). Round w to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 130415 - 130431 + 12*o**2 - 9*o**2 - o**3 - 9*o. Determine l(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115? (a) 10 (b) -0.05 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*x - 179*x + 133*x - 261*x as c*x + k and give c.\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768063, 768057, 768039, 768003, 767943?\nAnswer: 767853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13524251 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -30*t**3 - 181*t**2 + 266*t + 1644. What is r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -35*v**2 + 84*v - 15. Let y(x) = 31*x**2 - 71*x + 15. Let q(p) = -6*c(p) - 7*y(p). Let d(m) = m**2 + m + 1. Determine 6*d(b) + q(b).\nAnswer: -b**2 - b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 178050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g. Let u be l(6). Suppose 5*m - 3*v - 47 = -13, -2*v = u. Suppose 40 = 7*w - m*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360*k + 4 - 3615*k - 228*k - 2)*(-k**4 + 0 + 0).\nAnswer: 3483*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (-4)\/(-14) - (-19236)\/(-112)*1832\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9566, 9573, 9580, 9587, 9594, 9601?\n\"Answer: 7*u + 9559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*b + b**3 + 3*b**3 + 134*b.\nAnswer: 4*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/8*z**2 - 5\/8*z - 1\/4*z**4 - 7\/8*z**3 - 1\/8 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 32 + 0*s**4 + s**3 + s + 20 - 10 to d*s**2 + t*s + k*s**3 + p + a*s**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460118274?\nAnswer: 2, 3, 7, 11, 995927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(-48)*(m*m*m**1\/m*m)\/((m\/(m\/(m**(-2)\/m)*m))\/m))**20 assuming m is positive.\nAnswer: m**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**4 - v**3 - v**2 - v. Let n(m) = -6*m**4 - 3*m**3 - 5*m**2 - 3*m. Let h(s) = -n(s) + 3*r(s). Find the third derivative of h(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2073, -2122, -2245, -2478, -2857, -3418, -4197?\nAnswer: -5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482*a**2 + 9389*a - 9389*a)*(-5 + 2 + 2).\nAnswer: 482*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 4307?\nAnswer: 42bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 7*b + 3. Let p be m(-7). Suppose 3 = -0*o + o. Suppose -o*a + z = -2*z - 18, p*a = -z + 10. Solve -a*y + 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12270466 by 247.\nAnswer: 49678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395762 or -23350029\/59?\nAnswer: -23350029\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(9 - 10)*16979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8968 and 4542056?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 5*y**8\/336 + y**5\/10 - 5*y**2\/2 - 3. Let x(l) be the second derivative of w(l). Find the third derivative of x(m) wrt m.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 4*t**3\/9 - 2*t**2\/3 - 44. Determine x so that k(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 816*v**3 - 562*v**2 + 3257. Find the second derivative of u(w) wrt w.\nAnswer: 4896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(27) + 1))**2 + sqrt(33)\/(2*sqrt(99)) - 1*(-3 + sqrt(12)\/sqrt(4))*-6*1.\nAnswer: 937*sqrt(3)\/6 + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -3. Let j = g - -1.2. Which is the nearest to 0.1? (a) j (b) 2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*86\/(-129)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - v**2 + v**2 + (-1 - 2 + 1)*(4*v**3 + v**3 - 3*v**3) + v**3 - 2*v**3 + 2*v**3 - 49 - 14*v**3 + 49.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = t, 3*u + t - 52 = 0. Let j = u - 11. What is the units digit of (35\/(-2))\/(j\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/9 + 18\/81. Suppose u*t - t = -4*r + 2, 5*r + 11 = 2*t. What is the common denominator of (-213)\/(-12) + 0 + r and 19\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6450537552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -679036353 from -5.\nAnswer: 679036348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 8*o**2 + 9*o + 5. Let z be d(-9). Suppose -6*f + z*f = -8*f. Let l(k) = k**2 - k - 6. Give l(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 + -361. Let w be (-7 + 538)\/(42\/(-4)). Let p = w + 51. Which is the biggest value? (a) p (b) 0.1 (c) g (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.6 * -0.05.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 91325*u. Let w(r) = -3*r**2. Determine s(w(b)).\nAnswer: -273975*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 2 - -8) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + 52*(-7)\/168)*0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 7. Let a be u(-8). Let d = 207.505 + -208. Let z = -2.495 - d. What is the second smallest value in a, 2, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -29, -74, -127, -182, -233, -274, -299?\n\"Answer: q**3 - 13*q**2 + q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.399764 + -17.4. Round r to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 6*k**2 - 6*k**2 - 4*k**2 - k**2. Let r(x) be the second derivative of -17*x**3\/6 - 12*x. Give r(t(i)).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 6464*v**2 + 19473*v**2 - 6538*v**2 - 6471*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f**3 + 0*f + 0 + 1\/4*f**4 + 3*f**2. Let p(r) = -5 + 5 - 2*r. Calculate p(m(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1. Suppose -3*j + j = -12. Let l = j + -7. Which is the smallest value? (a) z (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = 2*l, -15*l - 2 = -o - 13*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174164, 174171, 174178?\nAnswer: 174185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**2 - 666*d + 181*d + 224*d as x*d + u*d**2 + r and give x.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316246*h**3 - h**2 + 2*h + 2082827?\nAnswer: -948738*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 2*r - r)*(-50 - 53 + 104 - 12*r) + 2 - 2 - r**2 to q*r**2 + h + s*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {m: 4, v: 12, h: 1, r: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s + 33 - 13 = 0, p + 5*s - 28 = 0. Let p*v - 5 + 0 - 1 + 2 - 4*v**2 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 77 = 97722. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -186*v + 2791. Let s be m(15). Suppose 0 = -2*y + 50. Calculate the greatest common divisor of y and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80370 and 25004.\nAnswer: 1125180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*g + 186*g - 578*g + 156*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -b - 1 + 17, 5 = -c. Let q be (-51)\/b + 4\/(-6). Suppose -2*u + 4 = 3*f - 24, -5*f = -q*u - 80. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(((-1016)\/168 - -1) + (1 - -4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*g = -0*h - 42, -5*h - 2*g + 52 = 0. Calculate the common denominator of 52\/3 and 19\/h - (5 - 112\/21).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -29 + 13. Let j(o) be the third derivative of -o**4\/3 - o**3\/6 - 5*o**2. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 43 = -9*y. Suppose o - y*o + 40 = 0. Suppose 2*v - 406 = -4*g, v = o*v - 3*g - 823. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 1. Give m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203832, 5, -49, -1 in decreasing order.\nAnswer: 5, -1, -49, -203832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*a + 9 = 0, 2*a = -5*w - 2*a + 3. Solve 0*y - 19 = -4*y + w*s, -4*y + 21 = -5*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 834.\nAnswer: -38\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-33) - 169\/(-143). Which is smaller: 30\/41 or g?\nAnswer: 30\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.62 - -2.008. Let n = u + -0.387406. Round n to five decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8729 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 x = -12 - -17. Suppose x*z - 8 = 2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1000278 or -1000279?\nAnswer: -1000278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - z. Let y be f(3). Suppose y*h + 3 = 9*h. Let l = 9 - h. Calculate the highest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -692*k + 697*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1 + 3)**2*4 + 4.\nAnswer: -24*sqrt(19) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 9:54 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 - u**2 + u**3 - 2*u**3 - 5 + 1. What is x(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x. Let b be v(-1). Suppose -5*l + 0 = -b. Solve 7*p - 3*p = 4*r, -l*r = 5*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 + 4 = -5*n, -5*n - 1 = -c. Let i(x) = -6*x - 3. Let l(y) = 17*y + 10. Let m(w) = 11*i(w) + 4*l(w). Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -191. Let i = 30 - 14. What is the remainder when l is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5376 = 361*s - 313*s. What is the greatest common divisor of s and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18862 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**2\/5 - 4070528*x\/15 - 120608 = 0.\nAnswer: -226140, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 0*i + 5*i**3 - i + i as m*i**2 + k*i + d + f*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:45 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (28 + 4)) + 12 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 5*x + 1 - 5*x + 2*x to h + s*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/147 and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2687*b + 2*b**2 - 2*b**2 + 13*b**3 - 2687*b.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, h: 1, d: 10}. Give prob of sequence pddh.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431?\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - t - 17. Let g(a) = -5*a**2 - 12. Let m(b) = 3*b**2 + 8. Let z(n) = -5*g(n) - 8*m(n). Give 2*y(j) - 9*z(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*21\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124808515 a multiple of 1209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 194*z - 15 - 5 - 37*z)*(-18*z**3 - 22*z + 22*z).\nAnswer: -2826*z**4 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -50*q**4 + 22660*q**3 - 2567378*q**2 = 0.\nAnswer: 0, 1133\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 16. Let p(d) = g*d + 4*d - 19*d. Let x(a) = 2*a. Determine p(x(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*g - 66 - 966, g - 526 = t. Let c = -226 - t. Suppose 4*u + u = c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -25. Let j = m + -21.5. Let w = j + -2.5. Is -2\/5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 8. Let s(a) = -a**3 - 3*a**2 - 3*a - 11. Let x be s(p). Differentiate w**2 + 2*w**2 - 56 + x wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36644515 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -42, -3, 1 in decreasing order.\nAnswer: 4, 3, 1, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 18*p. Let f(o) = 3*o + 10*o - 6*o + o. Calculate f(z(i)).\nAnswer: 144*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.9. Let w be 4 - 1 - 42\/15. Is u != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f + 5. Suppose 9 = -4*h - 11. Let m be j(h). Suppose m = -4*r + 3*r + 32. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5456?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8571*p**4 - 9*p + 93 wrt p.\nAnswer: 102852*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/((-1122)\/(-99)))\/(36\/(-64)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) + 57302\/3. Round q to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 257 = 5 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1038227 (base 11) to base 7.\nAnswer: -21344535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) -12\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, v: 3, e: 2}. What is prob of sequence vjjj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 9*m**2 - 20*m + 3. Let k(q) = q**2 - 10*q + 5. Let j be k(10). Let o be a(j). Find the first derivative of -17 - 10*i**3 + 9 + 34*i**o wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -171. Suppose -20 = g*j - 196. Calculate the smallest common multiple of 12 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -118712700 to the nearest 1000000.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 4*m**2 + 7961 + m**3 - 34993 + 3*m**3.\nAnswer: 2*m**3 + 4*m**2 - 27032","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**2 + t + 3. Let k be z(4). Let b(f) = -169*f + 2. Let v be b(1). Let m = k - v. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(880) - sqrt(880))*2)\/(sqrt(40)\/((sqrt(96)\/sqrt(2))\/sqrt(6))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -103*t. Let b(i) = -4*i + 102. Let u be b(0). Let y(s) = -6*s. Suppose -3 = -2*c + 5*d, c = 3*d + 7 - 4. What is c*h(l) + u*y(l)?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/5 + 38617*j**2\/5 + 115864*j\/5 - 30896 = 0.\nAnswer: -4, 1, 38620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -155. Let p = -1\/89 + -86\/267. Sort m, 12, p, -0.2 in decreasing order.\nAnswer: 12, m, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x - 22 = -86*x. Suppose -4*y = -j - 7, -x*j + 5 = 3. What is the fourth biggest value in y, -4, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**8\/840 + i**7\/84 - 7*i**6\/180 + i**5\/20 + 22*i**3\/3 + i - 162. Let d(u) be the third derivative of m(u). Factor d(p).\nAnswer: -2*p*(p - 3)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -17*h + h. Solve -5*y - 6 = 2*s, -y + 6 = h*s - 0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99892097 to the power of 1\/2, to the nearest integer?\nAnswer: 9995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-12))\/(10\/(-15) - 0). Let v(y) = y**2 + s*y + 1 + 7*y - 24*y + 0*y**2. Determine v(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1080 - 957. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 200 = 5*q, -2*q + 368 = 2*u. Suppose 4*n + n - u = -2*h, -h + n + 83 = 0. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**4 - 52809*m**3 - 918168*m**2 + 635580*m = 0. Calculate m.\nAnswer: -18, 0, 2\/3, 5885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 + b - 9. Let r be x(4). Suppose r = 4*n - 133. Suppose -c = n - 183. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2240) + sqrt(2240)*-2 - 3*sqrt(140)\/sqrt(4))\/((sqrt(567) + (sqrt(567)*-2 - sqrt(567)))*4))**2 + 4.\nAnswer: 5789\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25827054287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/2)*c**(-15))**(1\/77) assuming c is positive.\nAnswer: c**(-39\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33906281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16355 (base 8) to base 2.\nAnswer: 1110011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -476*n + 482*n + 39, 3*n + w = -18 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 2240?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*k**3 + 3*k**3 - 3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 30 = 2*k + b, 0 = k + 4*b - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 35 - 7 = 0. Suppose -3*r - y*p = -783, 2*r - 526 = -3*p - p. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/240 and 2\/567.\nAnswer: 45360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x + 128*x = 258*x + 2287 - 8719 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 - 28*m**3 + 9*m**3 + 5*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/191 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f = 300. Let v be 2\/((-665)\/2740 - 1\/(-4)). Let 156*u**4 - f*u + 6*u**3 + 16 - 26*u**5 - 10*u**5 - v*u**3 + 54*u + 228*u**2 = 0. Calculate u.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -1\/8 (c) 1\/10 (d) 967 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 2, 118 in descending order.\nAnswer: 118, 73, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6)\/(-15) + 4893\/3495.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**(-28))\/p)\/(p**25*p))**(-30\/11) assuming p is positive.\nAnswer: p**(1560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21013001312 + 10?\nAnswer: 21013001322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = -5. Let w be (-3)\/2*(-8)\/(-6). Let f = 4 + -2. Which is the closest to x? (a) -5 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 577*j - 533*j - j**2 - 3*j**2.\nAnswer: -4*j*(j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692 by 5.\nAnswer: 692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/4))**(-1)\/(v**4*v**(-1\/5)))**(12\/5) assuming v is positive.\nAnswer: v**(-303\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/68)\/(-7)*-1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 9*u + 5. Let h be w(-9). Let o(b) = -10 + 10 + 0*b + b. Let z(g) = g. Calculate h*z(m) - 2*o(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01047509 rounded to five decimal places?\nAnswer: 0.01048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/4 (b) -7\/150 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 22*s - 1033. What is i(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8822 - 14136.\nAnswer: -22958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53900 divided by -154.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = -5, 3*a = 4*z + 148. Let t = 154 + -977\/6. Find the common denominator of 83\/3*6\/a and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 63 = -u + 43, 0 = 2*u - 8. Solve 2*q + h - 1 = 3*m, 20 = -4*m - 4*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*r = 22, 5*c - 43 = -2*c + 20*c - 5*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*k = 498*k - 103*k - 22148 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34790, -139279, -313446, -557273, -870742, -1253835?\n\"Answer: 3*c**3 - 34857*c**2 + 61*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16271.\nAnswer: 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*d**3 - 372*d**2 + 2011*d + 378.\nAnswer: (d - 27)*(d - 7)*(11*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37848814, -75697628, -113546442?\nAnswer: -151395256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -437486444.\nAnswer: 43748644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 17114\/47689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 22409?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 4*y + 1. Let z(s) = s - 1. Let g = 37315 - 37316. What is g*z(d) - j(d)?\nAnswer: -3*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 71. Let w(i) = i**3 - 12*i**2 - 46*i + 18. Let g be w(15). What are the prime factors of (82\/g)\/(c\/24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 508*p**3 - 255*p**3 - p**2 - 1 - 232*p**3.\nAnswer: 21*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 1\/2, -8\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3682 - 40532\/11. Which is greater: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 10*b**3 + 2*b**2 + b - 3. Let p be f(-1). Suppose 5*a = 5*o - p + 397, 5*a + 3*o = 394. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbb when four letters picked without replacement from {f: 13, b: 6}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -207, -416, -729, -1140?\n\"Answer: k**3 - 61*k**2 + 77*k - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**5 - 24*z**3 - 10*z**2 - 2*z wrt z?\nAnswer: 180*z**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from rxxxrxrrxxx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 23*m - 45. Let i be 1\/7 + (40\/14 - -2). Let j be (-5 + 8)*(i + 1). Calculate the smallest common multiple of d(j) and 33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let k be (-10)\/(-8) + (7 - 9). What is the nearest to 0 in a, 3\/7, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, -52, 1, 2, 3 in descending order.\nAnswer: 3, 2, 1, -4, -12, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 - 524 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*x + 7 = -0, -5*r - x + 21 = 0. Solve 3 = z - t + 4, r*z + 2*t = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21530, 42176, 62822, 83468, 104114, 124760?\n\"Answer: 20646*p + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2585*h + 3. Let w be f(-3). Suppose -q - 2668 + w = 0. Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 177.25?\nAnswer: 177.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -24*i + 8. Calculate the remainder when v(-3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40089.69 millilitres to litres.\nAnswer: 40.08969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.028168 to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 + 60*c + 429. Let k be r(-7). Let v be 549\/39*8\/12. Is v bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbzzbuu. Give prob of picking 1 u and 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**3\/3 + 247*a**2 - 251. Let j(x) = -x. Give j(d(q)).\nAnswer: 4*q**2 - 494*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46414443, -46414444, -46414445?\n\"Answer: -y - 46414442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.06\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 + 59*c**4 - 8265*c**2.\nAnswer: 120*c**2 + 1416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 - 22 = 0. Suppose 0 = -3*h + a*h. Suppose h = 2*j - 23 + 7. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24002 - 4110242?\nAnswer: -4031240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 9*h**2 + h + 14. Let k be -9 - (-5)\/10*0. Let z be u(k). Solve 3*s + 4*v = 23, z*s + 2 + 3 = 2*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2 = -2*c + 2*y, -2*c + y = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + -0.38. Let m = s - -1.4. Let z = 2 + m. Which is the smallest value? (a) 0.2 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -169*k + 38. Let d be q(0). Calculate the highest common factor of d and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740844 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/7 in 3, 3\/7, 37?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1355*k**3*q**3*y + 14*k**3*q - k**2*q**3*y - 2*k**2*q**2 - 4*k*q**2*y + 3*q*y wrt q.\nAnswer: -8130*k**3*y - 6*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, m: 5, i: 4}. What is prob of picking 1 q and 1 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 56. Is -1*7\/3*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 693975?\nAnswer: 13879500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -3*m**6\/10 + 4*m**3 + 20*m. Find the second derivative of s(p) wrt p.\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -65) + 0 + -4. Let m = d + -42. Let o be 591282\/(-81) - 4\/m. Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 565*c + 162*c - 1637*c + 107*c + 1 in the form v + r*c and give r.\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:29 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 358841045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 u = -6 + 42. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 3, i: 1, u: 4, j: 8}. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -94. Let s be 2\/9 + a\/27. Does 22 divide 4 + 42 - (s + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 18*d**2 - 55*d + 60. Give h(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -126*c - 2000. What is the units digit of n(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1050*f - 1043*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -906995 divided by 5?\nAnswer: -181399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322300 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**4 - 112*n**3 + 1081*n**2.\nAnswer: 96*n - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-8)\/(-90))*(300225\/3000 - 100).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/48*6 - (-172)\/8. Solve 2*g + 10 = 31*l - 30*l, l = 5*g + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:35 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2501 (base 14) to base 5.\nAnswer: 201334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146313468 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b712b9 (base 12) in base 6?\nAnswer: -141453553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o - 3. Let y be g(-3). Let m be 80\/y + 2\/(-6). What is the third derivative of -2*d**5 - 2*d**2 + 9*d**2 - 4*d**m - 3*d**2 wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (6 - -30) + -34\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3366 + -3354. Let t(x) = -x**3 + 13*x**2 - 16*x + 23. Determine t(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 41*o - 45600 = -37*o, -4*t - o + 91209 = 0. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/4)\/((-5920)\/37888). Let t = -6 - -9. Suppose -2*j = -j - t. Solve -j*f = -7*f + 5*s + c, 0 = -3*f - s + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-17))\/(-5) + -7 + 81\/21?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - u, 0 = k - 4*u. Let z be 4062\/(-582) - (-27 - -20). Is k < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 4*j = -9. Suppose 3*n = -4*a + 8, a = j*n - 0*n + 2. Solve -2*t + 0 = a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 36*f - 1513. Determine y(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 805, 756, 707, 658?\n\"Answer: -49*m + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -64*r**3 - r**2 + 2*r + 6. Let k be l(-2). Suppose 2*f = x - 132, k = 4*x + 6*f - 5*f. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:17 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.3573249?\nAnswer: 1.4292996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93509.66151 + 93509. Let y = -35.34899 + h. Let n = 36 + y. Round n to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 7) to base 10\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115455*d**2 - 112081 wrt d?\nAnswer: 230910*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5182.663ml to litres.\nAnswer: 5.182663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 580334812 to the power of 1\/3, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 7) to base 3.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from gggaggaaagga.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1993 + -1989. Let q(f) be the second derivative of 1\/315*f**7 - 1\/50*f**5 - 18*f + 1\/90*f**w + 0 + 2\/45*f**3 - 1\/225*f**6 + 0*f**2. Solve q(t) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*u = -248*u + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42614 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r. Let z be b(-2). Let j(p) be the third derivative of p**4\/8 - p**3\/3 - p**2. Let w be j(z). Solve 2*t - w = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/120825462 and -74\/262791?\nAnswer: 1087429158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397801 is divided by 7057?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w = 53*w + h - 9 - 9, 5*w - 40 = -5*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -4, -16, -34, -58?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Let p be 2\/s*(4 - -2). Suppose -p*u = -7*u. Solve -2*w + 5*w = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 0)\/((-18)\/91809). Let f = s - 24196. What is f rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(128) - (sqrt(128)*4*-3)**2) + ((sqrt(8) + -1)**2 - (-3 + sqrt(18)))).\nAnswer: -sqrt(2) + 18420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156101122.\nAnswer: 2, 571, 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*v + 32 = -10043, 5*r - 3*v - 10105 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136)*4)\/(sqrt(512)*-1) + (3 + sqrt(34)\/sqrt(2) - -2*sqrt(68)\/sqrt(4))*6)**2 + -5.\nAnswer: 684*sqrt(17) + 6456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54596 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.65 and 67.\nAnswer: 914.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1230\nAnswer: -1\/1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (96\/(-128))\/(3\/2). What is the nearest to 30 in -2, b, 0, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d)*(-3 + 1 + 1) - d - d + 0*d - 2*d + d + 0*d - 8483 + 92*d + 8483.\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 - d**2)*(13*d**2 - 31*d**2 + 17*d**2) + (7*d - 37 - 9*d + d)*(5*d**3 - d**3 - 3*d**3).\nAnswer: 2*d**4 - 37*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31, -12373 in decreasing order.\nAnswer: -2, -31, -12373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*y - 6 = 0, 2*k - y - 2 = -0*k. Suppose 5*x + 142 + 13 = k. Let b = x - -27. Which is bigger: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/5 + -103\/15. Suppose 6*d = 2*d + 48. Let l be (0 - (-9)\/d)\/(10\/(-8)). Which is the closest to -2? (a) 1 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:56 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3231096\nAnswer: 1\/1077032","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1120 - -25769\/10080. Let f = 166671\/16 - 10421. Calculate the common denominator of f and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 + 7*u + 6. Let g be r(-6). Let y be 0\/(g + 3) + 0. Suppose 0 = -2*h - 3*x - 1, 5*h + 31 = -y*x + 2*x. What is h rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(1 - (-3)\/(-2)). Suppose -6 = b + 4*c, 4*b = 3*c + 14 - 0. Solve -h = b*h + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 - 369 - 314 - 23*i + 849.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*x**3 + 1178*x - 1178*x.\nAnswer: 158*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 429414*c + 5152985. Determine q(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3))**(-34)\/((r\/r**(-2\/5)*r)\/((r*r*r**0*r)\/r)) assuming r is positive.\nAnswer: r**(334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -36*b**3 + 2*b**2 - 2*b + 1. Let i be j(1). Let k = i + 25. Let x(n) = -n + 18. List the prime factors of x(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b - 17. Let n(d) = 6*d**2 - 8. What is the remainder when c(-14) is divided by n(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -587, -2347, -5283, -9395, -14683, -21147, -28787?\n\"Answer: -588*j**2 + 4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 8*m - m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 6*n**2 - 7*n - 7. Let j(r) = r**3 + 3*r**2 - 3*r - 3. Suppose 5*k - 3 = f, 14*k = 11*k. Determine f*d(h) + 7*j(h).\nAnswer: h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 7\/5 (c) -0.4 (d) -305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198 + -198.2. Let m be 11\/(-15) - 1\/(-3). Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71862, -144200, -217018, -290310, -364070, -438292, -512970?\nAnswer: -588098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 26. Calculate the remainder when 80 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**3 - 26*t**2 + 2*t**4 + 68*t - 54*t + 0*t**4 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqh when three letters picked without replacement from hgqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/8 + q**2. Let a(j) be the third derivative of 0*j**3 + 1\/60*j**5 + 0*j + 0*j**4 + 0 - 2*j**2. Give a(y(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let i(f) = -2*f**2 - 5*f + 2. Let l be -3 + (-7 - -13 - (1 - -3)). What is l*i(y) - 6*u(y)?\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3580*f + 46582. Determine k(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -24, 68, 248, 546, 992, 1616?\nAnswer: 2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 850 and 1960300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - -3044535?\nAnswer: 3044565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16534601 and 958.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllljllllljllllllll. Give prob of sequence lljl.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {f: 2, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 4\/3) + (-20)\/(-6). Suppose -6 = -2*g + 2. What is the highest common factor of g and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xxxxuxxuuxu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 11. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10833 is divided by 1805.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -59.00251.\nAnswer: -236.01004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*i**2 + 1256*i**2 + 2*i - 26 - 561*i**2 + 97.\nAnswer: 361*i**2 + 2*i + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let z(g) = 2*g + 2. Let j be z(-1). Suppose i*u - 16 = 4*m, -m = -5*u - j*m + 40. Solve -5*t = -6 - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -20*m**2 + 4*m + 2. Let i be z(-1). Let x(v) = v. Let l(f) = 50258*f - 12. Let c(r) = i*x(r) + 2*l(r). Let p be c(-4). Round p to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(3 - 3 + k) + 0*k - 3*k + 5*k + 4533 - 4533 + 40*k - 9*k - 6*k + 0*k to t + q*k and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = -30*k - 24. Calculate the highest common divisor of 18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264410 or -264411?\nAnswer: -264410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265851 - -4516783\/17. Suppose 796 = -5*b - 3*r, -b - 2*r = -6*b - 786. Let y = q - b. Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*i - 31 = 25, -15 = -5*i. Let p be (-5)\/182*20\/y. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from jhsjpmsp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y + 15, -5*y = b - 1485. Suppose -b = -0*g - 3*g. What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 + n**2 + n. Let d be t(-2). Let p = 63 + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 26. Suppose -m + k*g + 128985 = 0, -516010 = -6*m + 2*m - 2*g. Round m to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, z: 13}. What is prob of sequence eeez?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 6 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 5*r + 24 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 33, 10, -33, -102?\n\"Answer: -m**3 - m**2 + m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*g - 3 - 1, -3*h - g = 2. Let i be (20\/(-6))\/(6\/(-18)). Suppose -s + i = -h*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87936036 plus -23?\nAnswer: 87936013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (11 + -29) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmbzbyzzmzzbyylzzb. What is prob of sequence mmy?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 16 = -4*v, -v - 22 = -g + 16 - 34 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k**2 - 7*k**2 + 0*k**2 to the form n*k + h*k**2 + x and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 5. Let v be t(6). Let z = 13 - v. List the prime factors of 2\/z + 142\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) + 2106\/21. Calculate the highest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 7*g + 3. What is f(8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 8*t)*(-582 - 49 - 450) - 2*t - 2*t + 6*t.\nAnswer: -6484*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3 + u**2 + 23*u + 1 - 24*u. Determine m(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3632879088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2151?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -2, -20, -72, -170, -326, -552?\n\"Answer: -2*p**3 + p**2 + 15*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -489?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2603 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373732841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -6*f + 157. Let d(p) = -65 - f + 3*p + 125. Determine d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/(75\/(-10)))\/(2\/(-10188))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 83. Factor l*n - 9*n**2 - 4*n**2 + 10*n**2 - 2*n**2 - 20.\nAnswer: -5*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**26*v)**(-30)*(v*v**(-19\/5))**(-2\/21) assuming v is positive.\nAnswer: v**(10804\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 811346 and 4782?\nAnswer: 2434038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-40) - 2\/2. Let h = 5987\/15 - 399. What is the third biggest value in 0, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139146 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 29. What is the lowest common multiple of 1 and z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9945800 to the nearest 100000.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + (-34 - (6 + 9 - 19))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-6))\/((-85)\/(-765)))\/((-9)\/(-60))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31 = 4*r, 5*r = u - 0*u - 23. Solve -u*g - 19 = -22*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27452606*g**4 + 130*g**3 + 27452607*g**4 - 21*g**2 + 105*g**2 as y*g + a*g**4 + f + v*g**2 + h*g**3 and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1125 - 2*t**2 + 2259 - 1130 + 20*t**3 + (-5 - 2 + 4)*(3*t**3 - 6*t**3 + t**3) to the form q + y*t**2 + j*t**3 + x*t and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1379, -15271, -31921, -48571, -65221, -81871?\nAnswer: -98521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2803, 2774, 2745, 2716, 2687?\n\"Answer: -29*c + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5674584, -11349203, -17023822, -22698441?\n\"Answer: -5674619*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*31613.\nAnswer: -505808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1404\/800029?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiriyrwisyywyyyif. What is prob of picking 1 i, 1 f, and 2 r?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23334463 is divided by 83.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*i = 4, 4*i - 3*i - 16 = -3*l. Suppose l*f - 16 = 4. Solve -u = -f*a - 5*u - 36, -a + 16 = -5*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*x**2 - 31*x**2 - 133*x**2.\nAnswer: -250*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 109. Let p = n - -231. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/22284 and -115\/1164.\nAnswer: 2161548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one thirds of a year?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16\/121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 186. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**3\/2 + 7*i. Let y(h) = h**2. What is q(y(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:35 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*f + 33*f. Suppose w + 176 = 7. Let n = 3212\/19 + w. Is n at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -w, -6*j + 2*j + 16 = 0. Let b(g) be the first derivative of -g**3\/3 - g**2\/2 + 3*g - 1. What is b(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 14. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*d**3*l - 6399*d**3 - 4*d**2*l - d**2 + 6950*d*l - 2*d - 4*l + 1 wrt d?\nAnswer: -102*d*l - 38394*d - 8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 34*h**6\/15 - 5*h**4\/3 - h**3\/6 - 77*h**2\/2 - 4*h - 148. Find the second derivative of p(y) wrt y.\nAnswer: 816*y**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-1 - -3)*-1. Suppose s = -3*m - 0*m + 5*f, f - 2 = 3*m. Let a be (-8)\/(-4) - (12002 - m). What is a rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 - 1 + 17*v**2 in the form t + c*v**2 + u*v and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + 0)*1)**2 - (sqrt(304)*2 + sqrt(304))*-4 - (1*6*(sqrt(1539) + -1 + 1))**2.\nAnswer: -55404 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3056512.\nAnswer: 2, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43909, 43913, 43917, 43921?\nAnswer: 43925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 3*b + 2. Let g be r(-4). Let n(v) = -v + 1. Let l(t) be the first derivative of -2*t**3\/3 + t**2 - 2*t + 1. Calculate g*n(j) - l(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose -f*k + 8 = -k. Let g = 23 - k. Solve g = -2*m + 3*x - 8*x, -28 = 5*m + 3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/63 - 55\/495.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425 + -253. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4672*m**2 - m**3 - m**3 - 4672*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 5. Let v be t(3). Solve -k + v*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.107*-0.03667\nAnswer: 0.00392369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1497 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/8, 4, 2\/13, 1\/3, -0.13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -323265, -322039, -320813, -319587?\n\"Answer: 1226*d - 324491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 13*w**2 - 2*w + 58. What is the remainder when 93 is divided by l(13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1030 - -4?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.08, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 26 = -4*n + 8*u, 4*n - 29 = -u. Suppose 288 = n*q + 2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-36))\/((-3)\/(-6))*(3 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 4*f - 8, 4*k + f - 20 = 0. Let z = 11021749\/51 - 216120. Let a = 1\/17 - z. Do a and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 6*p**2 - 5*p + 1. Calculate the remainder when 203 is divided by q(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/25667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 29.1 (b) 226 (c) -31 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:24 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 17*b**2 - 24*b - 107. Give u(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*y + 1. Let h be (4 + y)*(14\/4 + -3). Solve 6*c - c - 20 = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w**2 - 597 + 16*w + 3*w**2 + 607 + w**3. What is the tens digit of b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11f + 3a3?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225061479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 3*p**2 + p**2 + (0*p - p**2 + 0*p)*(6 - 1 - 1).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -213 (b) 1\/5 (c) 0.22 (d) 5 (e) 2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-12)\/162*(-9)\/(-6))\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -377*d + 459 - 191 - 177 wrt d?\nAnswer: -377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 150a6?\nAnswer: 15097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 584\/(-219)*(-6)\/8. What is l in 1\/10*l + 1\/10*l**x - 1\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -629929750 divided by 5?\nAnswer: -125985950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-10)\/(-2))\/(5\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522182740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13985119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 259477249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*s**3 - 26*s**3 - 105*s**3)*(5*s + s - s) to c*s + l*s**2 + w*s**4 + z + q*s**3 and give w.\nAnswer: -1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(2*sqrt(25)\/sqrt(5)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*z - 6, -5*z = -a - 3*a - 15. Let x(u) be the third derivative of -1\/120*u**6 - 1\/6*u**4 - u**2 + 0 - 1\/6*u**z - 1\/15*u**5 + 0*u. What is x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 116240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4540293 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242782.647 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 38 = 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20665, -41349, -62057, -82789, -103545, -124325, -145129?\nAnswer: -165957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from vgugzllc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.058 != 0.40796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29.5, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -4. Let w = -5 - -34. Let f = -16 + w. Calculate the remainder when t is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 42*f**3 - 3*f**2 - 3*f - 3. Let t(w) = 210*w**3 - 14*w**2 - 14*w - 14. Let n = -751 + 737. Give n*a(x) + 3*t(x).\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 97*f - 45*f + 9*f**2 + 57*f**3 - 117*f**3 + 59*f**3 - 42*f - 92. Determine h(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047564181 to the power of 1\/2, to the nearest integer?\nAnswer: 32366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1114460 + 2293493. Let k = 1179014.00068 - f. Let o = 19 + k. Round o to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 297396, 594785, 892174, 1189563?\n\"Answer: 297389*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + (-50 - -39)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/75 and -91\/23925.\nAnswer: 23925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26249020 divided by -1148\nAnswer: -22865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1327 + 785 + 1870)*(-2*c + 1 - 1 - 5*c + 3*c + 4*c + (1 + 1 - 3)*(c + 4*c - 6*c) + 3*c - 2*c - 3*c).\nAnswer: -3982*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 67199 = -3*f, 75*f + 84018 = -5*d + 74*f. Are -16805 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 + 6*d + 8. Let z(h) = h**3 + 3*h**2 + 3*h + 3. Let r be z(-2). Let q(b) = b**2 - b - 1. Determine r*l(k) + 6*q(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zagdgzdzdauaudgzuud. Give prob of sequence aaz.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Let q be (15 - 12) + -9 + 2. What are the prime factors of 1\/q + 237\/d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875203945 a multiple of 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21)\/((-837)\/(-82026))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14711 is divided by 226.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-16))\/(15\/10))\/((-1)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let u be t(-8). Let y(k) be the first derivative of -k**3\/3 - 5*k**2 + 8*k + 5. What is the tens digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 + 5*m - 4*m - 3 + 0 - 3*m**3 - m**4 to the form c*m**3 + o*m + w*m**4 + t + k*m**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145062 + 3106?\nAnswer: -141653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.288 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97, 50, -11, -92, -199?\n\"Answer: -p**3 - p**2 - 37*p + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 3, k: 4}. Give prob of picking 3 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2065734.\nAnswer: 4131468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2638 times 2.74\nAnswer: 0.722812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1225 greater than -1224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586322318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(637) + 0 + sqrt(637)*-1 + 5)**2*-6.\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 6. Let x be n(6). Let c be 5 - (3 - 0) - x. Suppose -2*r + 3*i + 2*i = -12, -12 = -2*r + c*i. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3653a + 2c?\nAnswer: -3650b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4766, 4665, 4578, 4511, 4470, 4461?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100111000001 (base 2) in base 9?\nAnswer: 187665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (35 + -25) - (2 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-7\/6)\/(m*m\/(m**(-2\/11)\/m)*m**6))\/(m**(-1\/3)*m*((m*m**(-3)\/m*m)\/m)\/m*(m\/((m*m**0)\/m))**3) assuming m is positive.\nAnswer: m**(-169\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 6*w - 3. Let l be j(5). Suppose -7 = -o - l, 2*o - 52 = -3*a. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -46828547523439.\nAnswer: -46828547523442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.37 minus 534.9?\nAnswer: -525.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020999849 to six decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2590 in 0, -0.2, -1\/17, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 less than -141035384?\nAnswer: -141035392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -21. Suppose 25 = -10*b + w*b. Let y(i) = 3*i + 3. Let l(j) = j + 1. Give b*l(p) + 2*y(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frff when four letters picked without replacement from ffgfprpfpffrrpp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6118 is divided by 816?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and 163\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 6. Suppose -4*o + 9 + t = 0. Solve -2*z = 6 + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 129152*m - 128497*m.\nAnswer: 655*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 97 = 3*u, 10*u - 245 = -5*j + 5*u. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75214*r - 123039 = -76537*r for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -253018, -506055, -759110, -1012183, -1265274, -1518383, -1771510?\n\"Answer: -9*i**2 - 253010*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316*o*p**5 + 4*o*p + 2*o + 34207*p**5 - p**2 + 5*p - 16106 wrt p?\nAnswer: 6320*o*p**3 + 684140*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113921\/2940 + 1\/735. Let d = o + -39. Let y be 10 - 16 - (3 + -2). Which is the third smallest value? (a) d (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 285 = k, -3*k - 5*o + 3*o = -838. Let g = k + -260. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -4. Let q(z) = 5*z**3 + 7*z**2 + 7*z + 7. Let k(v) = -2*v**3 - 3*v**2 - 3*v - 3. Determine o*k(n) - 6*q(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002855946 to 6 dps.\nAnswer: 0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-925)\/(-74))\/20?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/186028, 1, -3.3 in increasing order.\nAnswer: -3.3, -3\/186028, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53681 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-79)\/(-19276))\/(1\/4).\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*o - 88 = -139*o. Suppose 2*v = -v - c + o, 0 = 4*v - 3*c - 19. Solve 2*n = v*n, 4*y + 20 = 5*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3*r**2 + 4*r - 11. Give f(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 175023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29788\/5 - 5956. What is the closest to 1 in -4, q, -0.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6134, -12551, -18968, -25385, -31802, -38219?\n\"Answer: -6417*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let f be ((-6)\/(-3))\/((-4)\/(-8)). Find the first derivative of f*q**2 - q**2 + h - 3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 111*d**2 + 43294*d - 43294*d. Let s(r) = -3*r. Give f(s(c)).\nAnswer: 999*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55105837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 4, g: 2, e: 1, o: 2}. What is prob of sequence ge?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (170\/5 - -2)*7\/3. Suppose 0 = -5*k + u + q, 5*k = -0*k + 4*u + 81. Let o = 35 + -4. Calculate the remainder when o is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 79 and -0.3.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n**2 - 73*n. Let v(q) = -26*q**2 + 143*q. Let y(m) = -11*i(m) - 6*v(m). Let g(u) = 7*u. What is g(y(o))?\nAnswer: 14*o**2 - 385*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:37 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 6. Suppose -4*x - 3 - 3 = 3*g, -3*g - 9 = 5*x. Let k be (-9)\/(-2)*g\/3 + 0. Solve 2*d = 2*q - 6, 2*d + o*q = k*q - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4848*q**2 - 24*q + 11. Let m(v) = 3231*v**2 + 15*v - 7. Determine -8*m(d) - 5*u(d).\nAnswer: -1608*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Let j(b) = 7*b**2 + 3*b + 6. Is j(t) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226786 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2929169 and 2929167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1295, 273, 1841?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -18. Let p = s + 14. Let h = 11 + p. Which is the third smallest value? (a) 1\/4 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 4243480?\nAnswer: -4243484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-114))\/((-270)\/684)*28\/(-2)?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 846\/7 - 120. Which is the closest to 0.2? (a) -5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391542.\nAnswer: 2, 3, 65257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-4*p**3 + p**3 - 4*p**3)*(-p - 2*p**2 + p).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/736 and -27\/84284144?\nAnswer: 168568288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 293. Calculate the remainder when 406 is divided by u(-38).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.91, 4, 0.1, -4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.02554782\nAnswer: -0.005109564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + 8. Let s = 325\/4 - m. Let u = -1 - s. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1192161 divided by -397387\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**2 - 4. Let o = 41 + -39. Let u(c) = -13*c**2 - 93 - 10*c**o + 93. What is u(a(f))?\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -587*m**2. Let d(a) = 191*a**2 + 4*a + 8. Let o(v) = 149*v**2 + 3*v + 6. Let r(g) = 3*d(g) - 4*o(g). What is i(r(s))?\nAnswer: -310523*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 11*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12031, -12023, -12015, -12007, -11999, -11991?\nAnswer: -11983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - -1 - (-4981 - -5072)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**3 - 4 - 5*z**3 + 6*z**3)*(14*z**2 - 15*z + 15*z).\nAnswer: -154*z**5 - 56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 52*t - 3 + 1 - 10*t**2 + 2 in the form q + b*t**2 + k*t and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose j*c + 5*p = 35, -3*c + 15 = -2*c - 5*p. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v + 5 + 1\/7*v**4 - 4\/35*v**5 + 0*v**2 - 1\/14*v**6 + 0*v**3. Suppose l(d) = 0. What is d?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/150 and (-85)\/306*(-306)\/(-30).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Suppose 0 = 2*o - j - 3. Suppose d - 4*u - 10 = 0, o*d - 2*u - 40 = u. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/5 - (-202)\/10. Let l = j + -2. Solve -3 - 1 = 4*h, 3*z = -4*h - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/13 in 0.5, 8, 0, 17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*g = -2*g - 23, -r + 14 = -g. Let i = r + -12. Suppose 0 = 3*z + 3*p - 21, 3*z - 222*p = -221*p + 9. Put i, z, 5 in increasing order.\nAnswer: i, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 5. Let k be m(-5). Suppose k*y = -2*n - 5*y - 21, 4*n + y + 15 = 0. Let g be (-6)\/9 + (-8)\/n. Solve -r + g*r + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (105 - 4))*1. Suppose 2*x - t + 0*t - 169 = 0, 0 = x - 4*t - l. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002221011 - -12?\nAnswer: -2002220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0322 - -0.4678. What is the biggest value in -7, -19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 684666195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1196201, -2392270, -3588339, -4784408?\n\"Answer: -1196069*j - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8799568 millennia?\nAnswer: 879.9568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3498, 6926, 10336, 13722, 17078, 20398, 23676, 26906?\nAnswer: 30082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20952824 + -35852824. What is c rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + -280. Which is the second smallest value? (a) -2 (b) m (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*b + 4*b - 96016, -5*z - 95996 = -2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 7*p**5\/10 - 29513*p**4\/5 + 61983184*p**3\/5 + 979562432*p**2\/5 + 742342656*p - 1141899264\/5 = 0?\nAnswer: -8, 2\/7, 4224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -361, -565, -783, -1015?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15)*h)**(-1\/3)*h**(-6)*h*(h\/(h*h**(-19)\/h*h))\/h*h*h*h assuming h is positive.\nAnswer: h**(707\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602 (base 7) in base 15?\nAnswer: -2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + x - 4, 0 = -4*l - x + 14 - 5. Is 24*1 - (l - -3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (564\/(-2350))\/(1824\/80)\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*k + u, -57 = -5*k + 4*u + 41. Let j = k - 33. Is ((-6)\/j)\/(3\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/h**4))*h\/h**(-2\/31))\/(((h*h*h*h*h\/h**6)\/h)\/h**4) assuming h is positive.\nAnswer: h**(157\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65296 divided by -16.\nAnswer: -4081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.3 (b) -1725 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257020.\nAnswer: 2, 5, 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733604801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 + 41*r + 1. What is the thousands digit of c(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -247 and 4.\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = s + 5*j, 178 + 57 = 5*s - 3*j. Suppose -4*d + 120 = -c, d - s - 1 = -5*c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t + 8. Let u(s) = -2*s**2 + 2*s - 9. Let y(j) = j**2 - j + 4. Let w = -73 - -86. Give t*u(d) + w*y(d).\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21295 - -21297. Let x = -0.31 + -0.01. Let v = 0.02 + x. What is the third biggest value in -5, 0.3, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843823078 + -843823073.099999304. Let o = i - 4.9. What is o rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdd when three letters picked without replacement from dddjjd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3685 is divided by 1224.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m**2 + m**2. Let d(x) = x**2 + x + 4. Let o be d(0). Suppose 0 = -0*i + o*i - 4. Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000220403268 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/27*(-36)\/24. What is the closest to 0.1 in b, -2\/9, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004843 rounded to 5 dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9685 (base 14) to base 11.\nAnswer: -18587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1768*-44790\nAnswer: 79188720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 470 = 2*j - 1, 2*y - 205 = -5*j. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102 and -261183480270.\nAnswer: -261183480168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35f (base 16) to base 5\nAnswer: -11423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28955166 is divided by 934037?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -620 - -1273. Suppose 0 = -2*o + 2 + 4, -2*x = -3*o - l. Suppose -w - a = -68 - 21, -4*w + x = -a. Calculate the highest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.144? (a) 1 (b) -0.3 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.383 + -0.017. Which is the smallest value? (a) 0 (b) 4\/5 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 8*d = -300. Let v be d\/198 + 2\/33. Solve t + 2*t - 4*k + 25 = v, 0 = 5*t + 4*k - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*b - b. Suppose b = -2*s + 231 + 25. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7328 and 9303.\nAnswer: -68172384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8421233 is divided by 2807074?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**3 + 13998*x - 131253.\nAnswer: 6*x**2 + 13998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4, 4*u - 219696 = -d - 37785. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/9 (c) 0.2 (d) 1\/9 (e) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 101*p + 14231. Determine v(-180).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715860 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: Expand (4*y**2 - y**2 - 5*y**2 + (0 + 0 - 2*y)*(3*y - y - y) + 200*y - 27*y**2 - 200*y)*(32*y - 36*y + 21*y + 90*y - y**2).\nAnswer: 31*y**4 - 3317*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 0*x - 20 = -4*x. What is the second derivative of i**x + 2*i - k*i**5 - 5*i wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 + -1.9. Let m = o - 1.3. Which is the closest to 0.2? (a) m (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89256 divided by -21\nAnswer: -29752\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(-205)\/420660*12\/(-1)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -813278, -1626578, -2439890, -3253208, -4066526, -4879838, -5693138, -6506420?\n\"Answer: f**3 - 12*f**2 - 813271*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + 21 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36830 and 54259.\nAnswer: 91089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e + 14e9ca4?\nAnswer: 14e9d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Suppose -p - 3 = -s*p. What are the prime factors of (3 - (3 - p)) + 54?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - (9 + (-14 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -64, -94, -124, -154, -184?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 154\/2576599?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 95, 114, 109, 62?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 12:54 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -49*b - 57*b. Which is smaller: -6\/55 or b?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1755989*u + 100. Let k be l(10). Suppose 4*n - k = -5*c, -5*n = 2*c - 13427650 - 8522346. Round n to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81105, -162210, -243315, -324420, -405525?\nAnswer: -486630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1249, -5005, -11269, -20041?\n\"Answer: -1254*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/5 - 17991*c\/5 + 194886 = 0?\nAnswer: -18045, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 5*o + o - 4*o + 8. Let i be j(6). Suppose 2*u - 200 = -i*u. What is the remainder when u is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15528 by -3882.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-25)\/(150\/28))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 319682*h + 7351628.\nAnswer: 2*(h - 159818)*(h - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2. Suppose 34 - 70 = -12*s. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10315, 10428, 10517, 10570, 10575, 10520, 10393, 10182?\nAnswer: 9875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/969 (b) 4 (c) -3 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46263170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 3*l**2 - 3*l**2)*(2*l**2 + 2*l**2 - 6*l**2 - 7*l).\nAnswer: 22*l**4 + 77*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**8\/20160 - n**7\/1008 + n**6\/120 - n**5\/15 - 5*n**2. Let x(l) be the third derivative of g(l). What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (-44 - 11)) + 4 + -53 + -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 9. Let x = d - -29. Suppose -3*y - 5*p = -46, -3*y + 40 = 5*p - 3*p. Calculate the highest common divisor of x and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 2*k + 50 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 145688 divided by 18211\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 622 + -303. Let z = 389 - v. Calculate the lowest common multiple of z and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 3*t**2 + 0*t**2 + 10*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*b**5*w**2 - b**4*w**3 + 182*b**2*w**3 - b**2*w**2 wrt b?\nAnswer: -11340*b**2*w**2 - 24*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 35 = 26*v. Solve 13*s = v*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let n = -5 - -8. Let m = u + n. Are -0.2 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 m when four letters picked without replacement from {m: 3, q: 1, b: 10, k: 2}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 424774.1 litres?\nAnswer: 424774100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 15918631335258 + 15918631335258.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 - -181. Suppose 3*f - s = -y + 3*y, 0 = -2*f + 3*y + 235. Let v = -72 + f. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293294\/11 + 3896135\/132. Suppose -20041 = -5*d - 2*d. Let f = t - d. Calculate the common denominator of f and 83\/202.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 23. Let o(p) = -29*p + 4. Let d be o(-2). Suppose 3*k = 7*k - s - 106, d = 2*k - 5*s. What is the least common multiple of g and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 2. Let q(d) be the second derivative of -5*d**3\/6 - d**2 - 12*d - 4. Give -2*n(f) + 3*q(f).\nAnswer: -5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -480, -3, 5 in increasing order.\nAnswer: -480, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + b - 6. Let u be w(0). Let m be (8\/u)\/((-6)\/(-9)). Let q(k) = -2*k + 2. What is q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/sqrt(3)*-1 + -3.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - d. Let o be (-4*2\/4 + 3)*-1. Let c be m(o). Suppose 0 = -c*q - 51 + 179. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7960931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 48, 3667, 1, -1, -3 in descending order.\nAnswer: 3667, 48, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + 14. Let v be t(0). Let b(s) = -s - 3. Let m be 1\/(-4) - (-19)\/(-4). Let n be b(m). What is the greatest common factor of n and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -9*a + 3*k + 66, 5*a = 3*k + 120. Suppose -a*r + 19*r = -128. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -76) + 24 - -82\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2139 divide 132461084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Suppose -4*b - 5*x + 10 = 0, b + 0*b - 4*x = 13. Suppose b*n = 3*q + 6*n + 4, -n = -3*q + 4. Put q, z, -0.3 in decreasing order.\nAnswer: z, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.6 + -63. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/21*(5 + -7). Which is the nearest to z? (a) -2\/11 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -28 (b) 0 (c) -2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14678*w + 2936*w + 2938*w + 2935*w + 2929*w - 55 + 2927*w.\nAnswer: -13*w - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -544 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*c. Suppose 4*u - 18 = 94. Suppose 0 = -c*p - 4*p + u. Is p >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29940, -30097, -30350, -30693, -31120?\nAnswer: -31625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4*o + 8, 403*o - 362*o = -5*p + 124 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416 less than 0.09?\nAnswer: -2415.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1358 - 6774\/5. Factor -32\/5 - 2\/5*s**2 + w*s.\nAnswer: -2*(s - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57812*i**5 + 2*i**2 - 3*i + 877?\nAnswer: -3468720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(324) + (sqrt(5) + sqrt(125))*3)**2 + -1.\nAnswer: 59369\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.3 + -12.8. Which is the smallest value? (a) -1\/3 (b) -3 (c) 54 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(98) + 4 + (-1 + sqrt(98) - sqrt(98))*5 + 4.\nAnswer: 3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -26*k + 32670. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3, 0 = -5*i + 4*i + y + 55. Let x be (0 - (2 - 0))*-131. Suppose 0 = -4*n - 3*r + x, -n - 3*r + i = -8*r. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, -366, -842, -1508?\n\"Answer: -95*t**2 - t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -4, 1 in increasing order.\nAnswer: -21, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, 10, 3 in ascending order.\nAnswer: -33, -4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 times 28?\nAnswer: 31584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 1)*(5*o - 17*o + 32*o)*(3*o**2 - 2*o**2 + 2*o**2).\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10112)\/160*(-250)\/(-100) - -1*23?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5\/6, -1\/6, 0.5, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22755 = -45*y + 10275. Calculate the greatest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 46677714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 3*c)*(5*c - 3*c - 3*c) - 7*c**2 + 10*c**2 + 13*c**2 + 4 + 2*c**2 - 2 - 3 + (-c - 1 + 1)*(-2*c + c + 3*c).\nAnswer: 17*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 4947*q**5\/20 + q**4\/12 - 17*q**3\/2 + q**2\/2 + 125*q + 10. Find the third derivative of a(i) wrt i.\nAnswer: 29682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -6. Let a(l) = -11249*l - 26. Let h be a(g). Let t = -66267 - h. Round t to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 96*c + 14. Give a(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 10*m - 4. Let y be b(-5). What is the greatest common divisor of y and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45357 and 266327.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -53, -2, 11 in ascending order.\nAnswer: -53, -3, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 43014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -2629 (c) 0 (d) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4 + 3*n - 9*n + n**3 + 4*n**2 + 1. Calculate the remainder when 17 is divided by i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1997*d + 27409 = -42486 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and -0.363?\nAnswer: 12.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -15, -10, -3, 6, 17?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/165)\/(-4 + ((-385)\/15)\/(-7))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 5, 131 = 2*t + 3*h. Let o = 76 - t. Solve -4*b - m - 10 = -0*m, o = -2*b - 4*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 479442, 479425, 479382, 479301, 479170, 478977, 478710?\n\"Answer: -2*y**3 - y**2 + 479445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*w + 4 = 0, 0 = -3*o - w - 20. Let b(s) = -s**3 - 9*s**2 - 11*s + 6. Let d be b(o). Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2 - 75*v + 73. Let y be n(1). Let z(q) be the first derivative of -4\/5*q**5 + 4*q**3 - 2*q**2 - y*q - 16 + q**4. Solve z(c) = 0 for c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44*v - 4061. What is u(91)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2 + 8*n - 4*n + 3*n**2 - 7*n**2 + 14*n**2. Calculate the remainder when b(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {x: 13, s: 6}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26788.7 and -0.28555?\nAnswer: 26788.98555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17634326 to 3 dps.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 23*b - 23. Suppose -4*k + 5*i + 73 = 0, k + 6*i - i = 37. What is l(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -34. Let w be (-765)\/(-68) - ((-3)\/4)\/j. Solve 0 = -2*o + o - 4*p + 11, 0 = -4*o - 2*p - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 60*w - 1. Let t be a(1). Let x be 5 + -1 - (-1 + -4 + -522). What is the greatest common factor of x and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -7. Let n(p) = -2*p + 1. What is the remainder when n(-3) is divided by (1 - b)*(-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 9. Let w(p) = 9. Let q(m) = -4*j(m) + 3*w(m). List the prime factors of q(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890862.17 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 121 + 317 = 0. What is the remainder when 220 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 106*y - 3. Let z(a) = 107*a - 4. Calculate 4*b(j) - 3*z(j).\nAnswer: 103*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.409 and -224300404.3.\nAnswer: -224300419.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3728 = -9*m + 1280. Let d = m - -314. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-j**2 + 0*j**2 + 0*j**2)*(-4*j**2 + j**2 - j + 3*j).\nAnswer: 6*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374957 + -12.\nAnswer: 1374945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 8. Let n(g) = 7*g**2 - 2*g - 1. Suppose c - 1 = -2. Let s be n(c). Solve v - s = u - 0*u, 3*u + k*v - 11 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4189190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 5 = 0. Suppose -5*d = -3*g + 27, q*g = -4*d + 3*g - 4. What is the lowest common multiple of (-20)\/d + 20\/15 + -2 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**2 - 121*m + 749. Calculate s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 30*h**3 + 2550*h**2 + 8*h + 687. Determine u(-85).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - k + 3*k)*(4*k**2 + 0*k**2 - k**2 + (-3*k + 2*k - k)*(2 - 2 + k)) to w*k + r + h*k**3 + a*k**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -22)\/(8\/68). Suppose -68 = -5*g + l. Let x = 100 - g. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1022 + 889. Which is bigger: v or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i + 7*i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 186 - 15. Let s = 1475 + -11827\/8. Find the common denominator of 1\/1 - g\/18 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40307319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-2\/3)*g)\/g)*g)\/((g\/g**(2\/11))\/g))**(2\/43)\/(g*g**(3\/5)*g*g**(2\/13))**(-4\/7) assuming g is positive.\nAnswer: g**(1071514\/645645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, -0.3, -4 in ascending order.\nAnswer: -4, -0.3, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79960291.\nAnswer: 41, 83, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 take away -358405?\nAnswer: 358403.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u = 285 + 150 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 0*y**2 + 4*y + 6*y - 2 - 3 - y**2. Let h be g(9). Suppose 2*i + z + 8799997 = 0, -3*i - 13199997 = 5*z - h*z. Round i to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2909 and 36542858.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, 77, 88, 103?\n\"Answer: 2*q**2 + q + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 234 = -x + 245, -q - 4*x + 476 = 0. Calculate the least common multiple of q and 33.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q + 8, 3*q - 27 = -2*k. What is the remainder when (-247)\/(-7) - (-4)\/(-14) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16550 - -5?\nAnswer: -16543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000411 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q**3 - 3*q**2 - 22*q - 96. List the prime factors of c(-12).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374374414?\nAnswer: 2, 31, 6038297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68808418 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 12144424?\nAnswer: 12144414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*a**2*x - 5*a + 17*x wrt a.\nAnswer: -332*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8*(-9)\/(6\/(-2)) and -18\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -2*l - 4*o, 5*l - 2*o + 0*o - 319 = 0. Suppose -18*k = 3*k - l. Which is the second smallest value? (a) k (b) -50 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4148*c = -5*u + 4144*c + 80, -3*u - 5*c = -48 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 405841?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**3 - 4*z**2 - 1. Let o be a(-3). Suppose -2*f = 12 - o. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.4 - -28.4. Let t = -23 + c. Let p = -1.9962 + t. What is p rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 + 240*k + 238 = 0 for k.\nAnswer: -119, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78389 is divided by 4857?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, -1, -212, -1\/5 in decreasing order.\nAnswer: 20, 4, -1\/5, -1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55319850 by -60525.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a factor of 494645518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5927766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 2. Let v(j) = 8*j - 1. Let r(g) = -4*g + 1. Let q(s) = 5*r(s) + 3*v(s). Determine -2*a(i) + 3*q(i).\nAnswer: 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120199847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787662, -787664, -787668, -787674, -787682, -787692?\nAnswer: -787704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8161, 8334, 8507?\n\"Answer: 173*s + 7988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*a - 0*a - 2, -2*k + 2*a + 4 = 0. Suppose 0 = 4*t - 53 + k. Let z be (-3)\/(3\/(-1))*13. Calculate the highest common factor of t and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 13*y**2 + 15*y - 60. Is t(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - 136?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-37200) + 1152\/86400.\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -115805*t**3 - 689*t**2 - 689*t + 689. Let y(d) = -1007*d**3 - 6*d**2 - 6*d + 6. Determine 6*w(c) - 689*y(c).\nAnswer: -1007*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u**3 + 3*u)*(3 - 4 - 8) + (-u - 3*u + 5*u)*(-u**2 - 4*u**2 - 2*u**2) + 2 - 2 - 2*u**3.\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 12. Let y be t(4). What are the prime factors of 0\/(y + 5) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 46211, 1 in increasing order.\nAnswer: 1, 75, 46211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 6 = -n, -3*s = 4*n - 22. Suppose 5 = 5*q - h, -2*q + 5*h = n*h + 1. Let i(j) = -2*j + 3*j**2 + q - 4*j**2 - 10 + 9. Calculate i(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -190, -206, -230?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 6 - 16*h - h**2 + 2*h. Let q be n(-10). Let i be 0\/q - -1 - 1. Solve 5*y + 20 = -i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*y + 180 = 0, -41*y - 413 = -3*v - 1713 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -87.36. What is j rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 13*o**2 + 13*o + 1. Let j(p) = 2*p**3 - 14*p**2 - 12*p. Let v(b) = 3*c(b) + 2*j(b). List the prime factors of v(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-16)*-2*(-2256)\/(-7896).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-36)\/(a\/(a*a**(4\/3)*a)*a**(4\/3))*(a\/(a**8\/a)*a*a**(1\/3))\/(a**(-1\/6)\/(a*a**(3\/5))) assuming a is positive.\nAnswer: a**(-853\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 110, 224, 412, 698, 1106, 1660?\n\"Answer: 4*s**3 + s**2 + 33*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 636*r**2. Let d(l) = 147*l**2 + 83*l**2 - 229*l**2. Determine d(w(u)).\nAnswer: 404496*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171.7 + -171.71942. Round u to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 9*p**2 + 10*p + 11. Let t = -5 + 13. What is the remainder when s(t) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*i - 31. Let x(h) = 3*h + 19*h**2 - 9 + 1 + 0*h. Let z be x(i). Calculate the greatest common factor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/10)*b\/(b*(b*b**(-7))\/b)*(b\/(b**(1\/4)*b))\/b**(-8))\/((b*b**(-4)\/b)**(-37\/4))**35 assuming b is positive.\nAnswer: b**(-25587\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -53*s**3 - 2764*s**2 + 12*s + 6. Let z(k) = 97*k**3 + 5530*k**2 - 22*k - 11. Give -11*l(y) - 6*z(y).\nAnswer: y**3 - 2776*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840102 is divided by 3077?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 - 5912*m + 4156416 = 0. What is m?\nAnswer: 1152, 1804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 130, 185, 224, 241, 230, 185?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*m**2 + 23\/2 - 11*m.\nAnswer: -(m - 1)*(m + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207032687?\nAnswer: 181, 757, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(1\/6)\/a)\/a)\/a*a*a**(-2)*a*(a**(2\/3))**(5\/2)*((a\/a**(1\/11))\/a**(4\/3))**(1\/24) assuming a is positive.\nAnswer: a**(719\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.08, 6, 0.36, -21?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - u - 11854, 19*x - 22*x + 5*u + 7108 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.42 - 22. Let r = -0.3 - -0.32. Let i = g - r. Which is the nearest to 0.1? (a) -2\/17 (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q + 0*q**3 + 0 - 1\/300*q**5 + 10*q**2 + 1\/30*q**4. Factor t(u).\nAnswer: -u*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t - 4. Let j be g(-3). Is (-6)\/(48\/j)*-12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/4621?\nAnswer: -3\/4621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 minus 23332616?\nAnswer: -23332615.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10*5 - 2. Let s(w) be the third derivative of 0*w**4 + 1\/120*w**6 + 0*w**3 + 0*w + u*w**5 + 0 - 2*w**2. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -5*d**4\/2 + d + 1. Let a be (5\/4)\/(-5) + 63\/(-84). List the prime factors of p(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3074183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*u + 12 = -0*v, 2*v + 4*u = 4. Let o(n) = 11 - 4*n - 13 - n. What are the prime factors of o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 741 and -2.\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*h**2 + 29*h**2 - 172*h**2 + 38*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -402, -933, -1692, -2685, -3918?\nAnswer: -5397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6819431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63 (b) 47 (c) -0.0077 (d) 1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228481 and 407?\nAnswer: 8453797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 3*l + 1587*l**2 - 782*l**2 - 1 + l**3 - 804*l**2 + 0*l**3 + 274*l**4 as s*l + h*l**3 + o*l**2 + m*l**4 + i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100363*c + 6567 with respect to c.\nAnswer: 100363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r**2\/4 + 483*r\/4 - 37\/2 = 0. Calculate r.\nAnswer: 2\/13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/2622 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -979 (b) 0.4 (c) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/15 - 590*v**4\/3 - 696200*v**3\/3 - 5899*v**2. Determine c so that f(c) = 0.\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084212729 rounded to six decimal places?\nAnswer: -0.000842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let n(y) = -6*y. Let l(c) = -5*h(c) - n(c). Let z(v) = 6*v**3 + 4*v. Let k(j) = 5*j**3 + 3*j. Let a(x) = -5*k(x) + 4*z(x). Determine -a(q) + l(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2224?\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 3*t**2 + 18*t + 2. Let x be w(-8). Let r(g) = 2. Let q(u) = u**2 - u - 3. Give x*q(a) + 3*r(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:27 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19.08044 days?\nAnswer: 1648550016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2 - 7*i - 5. Let d be s(5). Sort 5, 0, d in ascending order.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 6. Suppose -25 = -2*s - 15. Solve 0 = t - 3*l + 2, -s*l = g*t - l + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103759 divided by 5?\nAnswer: -103759\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.3 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42, -0.5, 1\/4, 3\/41, -6.7, 5\/4, -0.2?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/2 - (18 + (161 - 77)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 - ((154 - 58) + -62).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 209 = 3*p - 2363, -4*p - 2*g + 3448 = 0. Suppose 12*o + p = 16*o. Calculate the highest common divisor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78 rounded to one dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162829*1.\nAnswer: 162829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 240\/(-115))\/2\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -172, 4, 39, 0.\nAnswer: -172, -16, 0, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 10) to base 14\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.3, -5 in increasing order.\nAnswer: -5, -0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3727\/5 + 7\/((-175)\/10). Suppose -9*k + a + 2108 = 0. Suppose 3*i = k - 56. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -6, 11, 28, 45, 62?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*y + 42, -2*s - 3*y + 59 = -8*y. Suppose a = -3 + 6, -2*f - a - s = 0. Let p be 9\/27 + f\/(-6). Solve -4*q - 1 = p*b + 3, -3*q + b = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2273\/143199)\/(1*5*(-5)\/(-35))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -12933 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1590))\/(257\/3855).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0*g**4 + 0*g**2 + 0*g**3 - 1\/60*g**6 + 0 + 1\/84*g**7 - 3*g + 0*g**5. Factor w(v).\nAnswer: v**4*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441017471000 - -0.2?\nAnswer: 1441017471000.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 9\/2*x**2 - 6 - 3\/2*x**4 - 3*x**3 + 6*x = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v - 12 + 12.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:45 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3318716 and -0.3.\nAnswer: 995614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -15. Let z(b) = b**2 + 6*b. Let p be z(n). Let k be 0 - (p + 10)\/(-1). Solve 4*a + k = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2, 0 = -3*y + 54*g - 34*g - 16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 895, 817, 695, 535, 343, 125?\n\"Answer: w**3 - 28*w**2 - w + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*r - 740, -2*r + 0*h + 296 = 2*h. Let m = 455 - r. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(6\/(-3))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85373 is divided by 55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-25) + 186\/30. Solve 0 = u*r - 13 - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:32 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.058 - -8.458. Let m = g + -8.32. Let h = 0.7 - -0.3. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6809459443 from 2.72.\nAnswer: 6809459445.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - n - 356. Let w(z) = z**2 + z + 357. Let r(m) = -3*k(m) - 2*w(m). What is the first derivative of r(q) wrt q?\nAnswer: 20*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -33. Suppose -9*y = -u*y + 1125. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355105573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 1439, 3240, 5761, 9002?\nAnswer: 12963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1119*l + 333533. Determine o(298).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3376 and 43466?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2013, 1, -2, -1, 3 in descending order.\nAnswer: 2013, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3 + 59. Suppose 2*c + c - 12 = 0. Suppose c - 34 = -6*d. Calculate the remainder when r is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41825657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**2 + 2*f**3 - f**3 - 4*f - 18*f**2. Let r be k(-4). Let b be 1\/1 - 9*-1. Solve 3*c + 2*c - b = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221049 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-8403778\nAnswer: 840377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 12*r**2 - 63*r + 29. Calculate the remainder when 218 is divided by b(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3015*d + 3353*d - 3882*d in the form k + q*d and give q.\nAnswer: 2486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r**2 - 7*r + 7. Let i(z) = -7*z**2 + 3*z - 3. Let l(b) = -5*i(b) - 2*k(b). Let d(p) = 2*p**2 - 3*p + 3. Determine d(q) - l(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.8156 tonnes to milligrams.\nAnswer: 545815600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-2100)\/9))\/(7\/((-105)\/9))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 2, a: 2, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 165*m**4\/4 + 28*m**3\/3 - m**2 + 148. Find the third derivative of o(b) wrt b.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 108*f + 4. Let o be w(-36). Solve -o*g = -6*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.7. Let w = 6\/25 - 16\/25. Which is the closest to w? (a) k (b) -5 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*u = 16, 2*f + 4*u = -8 + 20. What is the third smallest value in 2, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -1 + 4 + -254 + 241 + -1 + -44\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*28\/(-637)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.88 - 66. What is v rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402414 is divided by 570.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -938*u + 1 - 10*u**2 + 0 + 58*u**2 + 941*u as l + x*u + j*u**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3)*(-3051)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 66532*k**2\/3 + 3457636*k\/3 - 14980160.\nAnswer: (k - 66480)*(k - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let m = -7151 + 7159. Let l = 19\/40 + -7\/8. Which is the closest to -0.1? (a) y (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 7*c + 4. What are the prime factors of g(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxxhhhxhhxmxhxhmx. What is prob of picking 1 h, 1 k, and 1 x?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0*o + 2*o - 9, -8*o + 57 = -296*k + 299*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89220, -89206, -89192?\n\"Answer: 14*m - 89234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5456163 is divided by 319?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0103724 centuries?\nAnswer: 0.103724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + 3?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 1 - (-12 + -2). Solve -3*v - v + y = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 - 2*w + 1. Let b be p(1). Suppose 4*d - d = b. Solve 2*m - 4*m = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-24\/11))\/g)*g)**17*(g**(6\/7))**(-22) assuming g is positive.\nAnswer: g**(4022\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4604 - -7377?\nAnswer: 14203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 6, r: 4, n: 2, d: 4}. What is prob of sequence rrnr?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 12. Suppose 0 = -2*u - 10 + 46. Calculate the smallest common multiple of d(-34) and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 2*y - 42 = 14, -3*b = -3*y + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-3 + sqrt(110) - sqrt(110))*2)\/(sqrt(1440) + 1*sqrt(1440) + sqrt(1440)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwsswwgs. What is prob of sequence wsgs?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 29*k - 24. Calculate the remainder when o(-24) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*q**2*s + 2*q**2 - 7*q*s - 4*q - s + 2513 wrt s?\nAnswer: -100*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 2162*j**3 + 4320*j**3 + 130*j**4 - 2160*j**3 + 186*j**4 as s*j**4 + b*j + u*j**2 + l + q*j**3 and give s.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/6 + 67*d**3\/6 - 157*d**2\/3 + 124*d\/3 = 0. Calculate d.\nAnswer: 0, 1, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50574883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 3*p. Let b(t) = -5*t**3 - 4*t - 1. Let q = -6 - -18. Suppose -r = 4*z - 3 - 3, 3*z - 3*r - q = 0. Give z*b(d) - 3*w(d).\nAnswer: 2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*11\/(-99)*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/105851 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10468*f**3 + f**2*u**2 - 8*f*u**2 + 6*f*u + f - 28*u**2 wrt f.\nAnswer: 62808*f + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + t**2 - 3*t**2)*(3*t - 3*t + 2*t) - t**3 - 2*t**2 + 2*t**2 + (3 - t - 3)*(2*t**2 + 0*t + 0*t) - t**3 + 0*t**3 - t**3.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - m = 16 - 6, 3*y - 14 = -m. Solve -2 = y*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, v: 4, c: 6, q: 1}. What is prob of sequence vc?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -252\/5. Let y = 2.96 + -3. Let p = y + 0.04. Put 2, n, p in descending order.\nAnswer: 2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = -9, 4*q + 5*g = 255. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 25*f - 17. Let p be d(-17). Let c be p\/(-595) - 1\/(-7). Factor 0 - 2\/5*h**2 + 2\/5*h**3 - 2\/5*h + c*h**4.\nAnswer: 2*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -32*s**2 + 13. Let d(q) = -16*q**2 + 6. Let t(y) = -13*d(y) + 6*k(y). Let l(f) = f. What is l(t(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2, 3*o = -d - 4448 + 13221. Suppose -8*a + d = -1014. Calculate the remainder when a is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102100112102 (base 3) in base 5?\nAnswer: -143124104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)\/c**2*((c**(-8)*c)\/c)\/c*c**0 assuming c is positive.\nAnswer: c**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 15*c + 25 + 4*c**2.\nAnswer: 4*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 280 - 180. Let z = 40 - w. Let y = -5 - z. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2. Let j(g) = 4*g + 3. Let q be (0 - 4) + 12\/(-2). Let z(a) = 8*a + 5. Let d(k) = q*j(k) + 6*z(k). Determine d(l(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - 3*k + 0*k**3 + 95*k**3 + 3*k + 59*k**3 as l*k**2 + f*k**3 + r*k + t and give f.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-99)*11*(-153)\/(-4845)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14665 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 0)\/4 - ((-127575)\/(-966))\/(-135)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5135?\nAnswer: 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + 5\/10. Suppose 4*q - 2*n - 50 = x, q = 3*n - 3 + 8. Let k = -30 - -40. What is the smallest common multiple of q and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 12 = -31*m. Suppose -135 = -9*v + m*v. Is 1 - -111 - v\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 18*b - 18. Let u be m(-7). Suppose u*s + 2*w - 2653 = 0, 5*w + 2066 = 5*s - 2364. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhis when four letters picked without replacement from {s: 2, f: 1, d: 1, h: 1, i: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:26 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4 - 5)\/((-2)\/34). Solve -4*u + p - j = -4*p, u = 3*p - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0962 + 0.4962. Which is the nearest to 1\/3? (a) v (b) -1 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4))**(-18\/5)*l**13*l\/l**(-4\/3) assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the first derivative of -w**2 + 10*w - 77 + 25 + 5*w - 41 wrt w?\nAnswer: -2*w + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 4, 7, 33, 2 in ascending order.\nAnswer: -2, 2, 3, 4, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/9 + (-1)\/3. Suppose 0 = -2*x + 7 - 3. Let f(q) = -3*q**2 - 2*q + 3*q + 3*q + y - x*q. What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76, 69, 62, 55, 48, 41?\n\"Answer: -7*t + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/8 of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Let i = 10 + -13. Let j be ((-320)\/52 - i) + 3. Which is the second biggest value? (a) -5 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 17*l**2 + l - 17. Let m be b(17). Let t(o) be the first derivative of 1\/4*o**4 + m*o - 2*o**2 - 1 + 2\/3*o**3. Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1226.386 times -15\nAnswer: 18395.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 32538528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*a = 74 + 36, 2*f + 112 = -a. Let b be -1*3 - (3 + f + 6). Let r be (-3)\/4 + 561\/12. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 349, 0.5, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2591 + 2589 - (0 - -78).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 1)*((4*m - 4*m - 2*m)*(2 + 1 - 1) + 3*m - m - 4*m + 2 - 4 + 5*m - m).\nAnswer: 18*m + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (3 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 + 10.73. Let o = r + -10.7. What is the smallest value in 2, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266029 + -1599725\/6. Let r = f + 253901\/429. Let m = r - 3307\/1716. Find the common denominator of m and 5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -53851.722.\nAnswer: -323110.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 - f**5 + 3*f**5 + (19*f**4 + 3*f**4 - 4*f**4)*(-3*f + 0*f + f).\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p + 6. Let x be a(15). Suppose -4*q = -q - x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.967 - 0.017. Let o = -0.05 - x. What is the second smallest value in -2\/5, o, 2\/11, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.75 - 28. Round h to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - 3*m. Let f be c(-2). Is 2\/11 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 50. What is the units digit of (18\/24)\/v - (-126)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 5*i - 4*i)*(2*i - 6*i + 2*i) + (0*i - 15*i - 9*i)*(0*i - 14*i - 7*i) - 5*i**2 + 6 - 6 to the form q*i + h*i**2 + z and give h.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 76551705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*sqrt(108).\nAnswer: -5 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 + 0.34. Let i be 2\/15 - 0\/1. Which is the nearest to v? (a) -3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 24 = -6*x. Suppose 0 = -15*d + 10*d, -x*l + 2334 = -4*d. List the prime factors of l.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 616 = -9*z. Suppose 2*l - z = l. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 54035*w**3 - 13*w - 108036*w**3 - w**2 + 54019*w**3 to a + d*w + s*w**2 + b*w**3 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3 - 3)*(-d**2 + 0*d**2 - d**2) + 443 - 624*d**4 - 4*d**3 - 280 - 165.\nAnswer: -620*d**4 - 4*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5655664 and 2884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 4*s**3 - 7*s**2\/2 + 13. What is the second derivative of d(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 11*t - 12. Let v be s(-9). Let b = 7 - v. Let a(w) = b + 0 - 1 + w**2. Let y(q) = -2*q. Give y(a(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**4 + 6*u**3 - 26*u**2 + 743. Let a(c) = c**4 - 5*c**3 + 27*c**2 - 744. Let r(i) = 6*a(i) + 5*g(i). Find the first derivative of r(q) wrt q.\nAnswer: -16*q**3 + 64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21293 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -901293865 + -2?\nAnswer: -901293867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 9*j - 3*b = -831, 8 = 4*b. Let z = j - 63. What is the smallest common multiple of 60 and z?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10440 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 29645821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111110 (base 2) to base 14.\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.981 - 16. Let r = 1231 + -1230.7. Which is the second smallest value? (a) r (b) w (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1123\/3 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*f - 3*f. What is the remainder when 76 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/6 + 4 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95049444 to the nearest integer?\nAnswer: 9749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 11*x = 33*x - 420 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 3 - (-16 - -1). Suppose 5*c = -x + 44. Let b be c*((-3)\/(-9) - 0). Solve 8 = -m + 5*i - i, b*m + 5*i = 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 1 = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, 2\/5, -10, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 82 = b - 4*b, -5*b + 125 = 4*l. Suppose 2*s = -q + 11, -4*q + 0*s + b = 3*s. Solve -q*j = 4*c - 3, 5*j + 1 = -2*c + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 85*i - 2309. What is b(27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/y*(y*y**(1\/2))\/y)**(-3)*(y*y\/(y*y*y*y**5)*y*y**1*y)\/(y**(4\/7)\/(y\/(y\/y**(3\/7)))) assuming y is positive.\nAnswer: y**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*u - 6 + 13, -3*u = -t + 1. Let y(r) = 33*r + 1 - 11*r - 15*r - 8*r. Let x be y(u). Solve -x = 3*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/23))\/(d**26\/d))**(-36) assuming d is positive.\nAnswer: d**(19116\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**8\/7 + 9*l**4\/4 - 22*l. Find the third derivative of r(m) wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3183*u + 3213*u - 60 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d*f**2*l + 28*d*f + d*l**3 + 2*f**2*l**3 + 3*f**2*l**2 + f*l**3 wrt f?\nAnswer: -20*d*l + 4*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 329\/(-21) + 4\/6 - -3. Is 2 a factor of (-1 + -3)\/8*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-484)\/44)\/(-3*3\/(-9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 1 - (8*-13)\/2. Calculate the highest common divisor of 304 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1215 and 102699.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + 0.05. Which is the closest to 2\/3? (a) t (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 0, -5*o + q = -6 - 16. Suppose o*y = 12 - 0. Suppose -y*v + 172 = 55. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 3.92. Let w = 43 + -45. Let v be w\/(-10) - 6\/15. Which is the nearest to i? (a) 4 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16128 + -14864. What is the least common multiple of 64 and h?\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((1 + -2*sqrt(192)*5 - (sqrt(192)*-2 + 0 - (1 + sqrt(192))*4))**2 + 1).\nAnswer: -960*sqrt(3) + 9289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 6) to base 8\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j - 14. Let m be w(2). Let n = -187.9 - -188. Sort n, -3\/5, -2\/5, m in ascending order.\nAnswer: m, -3\/5, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 1, b: 4, g: 5, e: 9}. Give prob of sequence gbbb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2. Let j = -192 + 196. Let b(i) = 37*i + 42*i - j*i**2 - 112*i + 40*i. Calculate b(h(u)).\nAnswer: -36*u**4 + 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 8 = -g, 3*y = 5*g + 19. Let o = 0 + y. Suppose -3 = -k - o*i + 5, i + 1 = -4*k. Is -2 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2)**(-1\/15)*u**(-1)*u**(1\/4) assuming u is positive.\nAnswer: u**(-41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2488837\/5356197 - 1\/54103. Calculate the common denominator of -71\/54 and d.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -8*d + 53\/2*d**2 + 11. What is the tens digit of u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(-1 + 5 + 0 + sqrt(700)) - -5*-6*(sqrt(700) + (1 + sqrt(700) - sqrt(700))*-5))**2.\nAnswer: -87480*sqrt(7) + 536546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (-5 - (-4 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus 71198?\nAnswer: -71201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 55 - 29 = 0. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**3 - 57*b**2 + 1083*b + 53. Factor c(m).\nAnswer: 3*(m - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Let o be (104\/10)\/u + 1. Suppose -484 = -7*y - 449. Is o != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 100, 0.1 in descending order.\nAnswer: 100, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)*z)\/z**1)**(4\/3)*z\/z**(-1\/2)*z*z**(-3\/8)*z**(-1\/4)\/z**(-5) assuming z is positive.\nAnswer: z**(37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16848 and 40.\nAnswer: 84240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3872\/(-11880) - (-4)\/(-54). Which is the nearest to -0.1? (a) n (b) -0.014 (c) 2\/5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from paqqp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 5*a + 4*a - a - 4. Is 8 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1716*f**2 + 3*f + 4. Let t(p) = 10*p. Give t(r(c)).\nAnswer: -17160*c**2 + 30*c + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -95.0000084. Round u to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)\/h**(-9))\/(h**(-2\/5)\/h)**(-1\/8))**(-7) assuming h is positive.\nAnswer: h**(-32683\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose j*p = 2*g - 20, 0 = -g + 5*p - 0 - 2. Suppose -h + 2*i = -9, -h + 4*i + g = i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 185570*a**2\/3 + 2969024*a\/3 - 3958656.\nAnswer: (a - 371124)*(a - 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*z + 1003, -1 + 0 = p. Calculate the common denominator of z\/16*(-2)\/3 and 22\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m - 499 - 1387 + 241 = 1915 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 10206*s**3 - 8577543*s**2 + 174624660*s - 878256300 = 0. What is s?\nAnswer: -1711, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -246 in -7, 2, 1\/4, 0.2, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 737, 915, 1093, 1271, 1449, 1627?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.777*3.\nAnswer: 2.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/470 and -26\/517.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, 11, -28, -0.17 in increasing order.\nAnswer: -184, -28, -0.17, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2\/27, 1.2778, -11?\nAnswer: 1.2778","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, 1 r, and 1 h when four letters picked without replacement from {h: 3, c: 6, j: 1, n: 2, r: 4}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*i + 4*d + 6, 5*i + 4*d = 19. Let z = i + -1. Let c be (-4 - -5) + 2*z. Solve 5 + c = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/13 in 2.9, 2, 1.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + (-6*2*sqrt(75) - sqrt(75))) - -5*(-1 + sqrt(75)))*2 + 4 + 2*sqrt(75) + (0 + sqrt(75))*6 + 0)**2*-6.\nAnswer: -871416 + 15840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32083291 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 1, d: 2, n: 3, c: 6, a: 6}. What is prob of picking 1 a, 1 l, and 1 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/25)\/1 + 24\/10. Suppose 0*n - 96 = -g*n. Let u = 48 - n. Solve -4*y - 16 = -u*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/1476 (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c4516 - -3?\nAnswer: -3c4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/1834)\/(((-177)\/413)\/(-5*(-21)\/70))?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 (base 7) in base 16?\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 407729444?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 576 + fc?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6aa9 (base 14) to base 3\nAnswer: -221110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -1025*g + 1024*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 5)*((0*y**2 + 0*y**2 - y**2)*(2 - 3 + 3) + 0*y**2 - 4*y**2 + 2*y**2) to c + j*y**2 + w*y and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*s + 5*s = 408, 0 = -3*f - 3*s + 252. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75260.653 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25122 + 25122 + 21*i**2 + 18*i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120323 + -3113?\nAnswer: -130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/413 and -18?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10230001 + -1332011?\nAnswer: 2231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4321400 - 201440?\nAnswer: -10023340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32022 by 3.\nAnswer: 10674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 3*c = 129, 5*b - c - 18 = c - 6 + 74 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 + 19*n - 4. Determine g(11).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from nltbpno.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = 0, -5*u + 5*o = -14 - 6. Solve 3*j = 2*t - 1, -5*j + 3*t = -u*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3\/6 - 8*d. Let n(p) = 2*p + 2*p + 6*p - 2*p. Give x(n(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 3753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -920346 minus 0.78?\nAnswer: -920346.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 31*g**2 - 1125*g + 39306. What is h(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 62 - 299 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13863 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216303935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 12. Calculate the remainder when 23 is divided by (-19 + 9)*6\/m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxggxgg. What is prob of sequence xgx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/2 + 713*m**3 - 239651*m**2\/2 - 242507*m = 0. Calculate m.\nAnswer: -2, 0, 197, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 3*u - 1. What are the prime factors of l(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*b*i**2 - 18113*a*b - 2*a + 27706995*b*i + 12*b - 2*i**3 - 150 wrt i.\nAnswer: -4*a*b*i + 27706995*b - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0148 - 0.0048. Let r = 40 - 159\/4. What is the third biggest value in r, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*i - 21 = 0, 3*d + 3*i - 27 + 6 = 0. Is 6\/7 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1508.209832 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Let d = -30 - -34. Let r be 2\/(-44)*1*d. Which is the closest to t? (a) 1\/2 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1039268, 4158557, 9357372, 16635713?\n\"Answer: 1039763*v**2 - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 946458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let d(j) be the third derivative of -j**6\/180 - 7*j**5\/40 + 4*j**3 + 34*j**2. Let z(x) be the first derivative of d(x). Give z(v(k)).\nAnswer: -2*k**2 - 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d - 155*d - 1525 = -34*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is bac (base 14) in base 5?\nAnswer: 33213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15734461 is divided by 2526.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2 + d - 4*d - d**2 - 2*d. Suppose 10 = -2*p + 50. Let m be 2\/(-8) + (-75)\/p. Calculate s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68193.\nAnswer: 3, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 430256060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*j**2 - 45*j + 45*j in the form c*j + i + z*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.05, -1, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchgchhhcgh. Give prob of sequence chhh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-3)\/32)*-7. Solve 0 = 18*f + o - 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 6. Let x be a(-4). Calculate the common denominator of -121\/10 and (-3)\/x - 198\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(7\/35*15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261372 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*b + 2, 2*l - 5*b - 11 = 3. Determine p so that -2*p**l + 44 - 44 - p - p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 511\/(-175) - 8\/100 - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58c14 (base 15) to base 3.\nAnswer: 112100222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134 - -81) + -9 + 35 + -6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27 + 4*n**2 - 26*n**2 as w*n**2 + d*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2905, 2908, 2911, 2914, 2917?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:02 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1656*g - 4974. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 3388*y\/3 + 752 = 0. What is y?\nAnswer: 2\/3, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 291\/15 - (-4)\/(-10). Let w = u - 11. Calculate the lowest common multiple of w and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3293*m - 494794 + 623221 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s + 5*n, -3*s + 3*n + 2 = -7. Let b(i) = 1 - 1 + i**2 - s*i**2. Let p(c) be the second derivative of c**4\/6 + c. Determine b(p(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 736 (base 12) to base 8\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220 - 58 + 76 - 99)*(-z**4 + z + 5*z**4 - 2*z**4).\nAnswer: -602*z**4 - 301*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -4 (c) 8\/3 (d) 4 (e) -5 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*2*((-72)\/567)\/4\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 19 - 3 = 0. Let g(k) = -k**2 + 2*k. Let s be g(-3). Let i be (0 + 6\/15)*s\/6. Put -5, i, a in increasing order.\nAnswer: -5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759788.\nAnswer: 2, 3, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 6*j. Does 15 divide i(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 27. Let u be z(26). Suppose 4*o + 4*h - u = -17, -4*h = 5*o + 17. Let f = -6 - -3. Sort 3, o, f in ascending order.\nAnswer: f, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, j: 1, v: 1, h: 1}. Give prob of sequence ivt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 5. Let o be m(-8). Suppose 0 = 5*t + 36 - o. Suppose -55 + 64 = t*r. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 18539038\nAnswer: 1\/18539038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9176.52 meters?\nAnswer: 9176520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112466 and 318?\nAnswer: 337398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose -u*y = -15, 0*q - 3*y = 3*q - 27. Suppose c - 20 = -3*p - 0, 6 = 3*c. What is the remainder when p is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-644)\/(-69))\/(4\/6). Solve h*i = 10*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 756\/328921?\nAnswer: 756\/328921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2545\/10845 + (-4)\/18. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*k + 1374*k + 771*k - 548*k + 1214*k - 1 as d + h*k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17433 and 3.\nAnswer: 17433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {c: 1, k: 2, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 156*r**4 - 1012*r**3 - 564*r**2 + 1736*r = 0 for r.\nAnswer: -31, -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2387*w - 812*w - 786*w - 786*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 - 10*n + 22. Give f(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/300 - 1133*c**4\/60 - 1283689*c**3\/30 - 96*c**2 - 7*c. Solve u(q) = 0.\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2785\/(-11140) - (-179)\/(-20).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.3, -3\/5, -0.1, 0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1315471906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6585 + 9339. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12028 + -12027. What is the second smallest value in -3, -2, 24.7, k, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 170\/15 + 2\/3. Suppose 5*j - 2*q - y = 0, -j + q + 12 = 3*j. Factor j + 2*u**3 + 1 - 2*u - 3 - 4*u**2 + 2.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -301\nAnswer: -180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56498528 and 14124632?\nAnswer: 56498528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6883 - -1.5883. Which is the second biggest value? (a) h (b) 0.1 (c) 2\/5 (d) 53.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**5 + 3*v**5 + 2*v**5)*(-8 + 15 - 46 + 167).\nAnswer: 256*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74216, 148435, 222654, 296873, 371092?\n\"Answer: 74219*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62505 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2648*p**2 - 372*p + 372*p + 765*p**2 as u + q*p + i*p**2 and give i.\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17020 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28331*j*m*v**2*y**2 + 70*j*m*v*y**2 + 41*j*y**2 - 3*j wrt v?\nAnswer: 56662*j*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130689812791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x)\/x)**(-18)\/(x**1\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(355\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4749999 = o - 2*o, o = -4*g + 18999999. Let j be (-322)\/56 + 2\/(-8). Let b be g\/(-1) - (j - -6). What is b rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -73. Let n(z) = -z**2 + 2*z - 2. Let o be n(2). Which is the third smallest value? (a) 3 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00264055 rounded to 5 dps?\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377.847 - 378. Round s to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (463\/(-926))\/(18\/(-8)*2\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1916199 divided by 207?\nAnswer: -9257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let j(t) be the first derivative of -t**3\/3 - t**2 - t + 3. Calculate j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*g**3 + 61*g**3 + 42*g**3)*(-4 - 3*g**2 + 4 + (-g + g + g)*(-g - 3*g + 3*g)) + g**3 - g**3 + 3*g**5.\nAnswer: -233*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (119 - 172) + (-6 - (-3 - -14)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1257 - 1145. Calculate the remainder when k is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*o**6 - o**4*u**2 + 30*o**2 + o*u + 3*u**2 wrt o?\nAnswer: -4320*o**3 - 24*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*(9\/(-36))\/((-25)\/80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (3696\/(-49))\/(-11). Find i such that 2\/7*i - n*i**3 + 4\/7*i**2 + 0 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1188 and -3.\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1611 divided by 1\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*i**2 - 6*i**5 + 56*i**2 + 7*i**5)*(51 + 55 + 5).\nAnswer: 111*i**5 + 10212*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 + 13*h**2 + 14*h**2 - 27*h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-66))\/((-14)\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364*y**4 - 92075*y**2 + 281*y - 280527 wrt y?\nAnswer: -4368*y**2 - 184150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 96162.61 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - -2.7. Let t = 2\/29 + -64\/87. Which is the nearest to 2? (a) t (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 28. Let b be l(4). Let c(s) = -s**2 - 9*s - 9. Let q be c(-6). Put q, -1, b in decreasing order.\nAnswer: q, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1\/4, 2, 118?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -15 - (-13 - -10) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -39, -117 in decreasing order.\nAnswer: -5, -39, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 197 + 574 + 2665)*(-3 - 2*m + 3).\nAnswer: -2*m**2 - 6084*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = -3*m, m + 0*m + 10 = 4*q. Let i = 18 - m. What is the remainder when 37 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 5*h + 2. Let q = 1153 + -1156. What is m(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0 (c) 28.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(72))*-3.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 7*o**2\/2 - 13*o - 4. What is the units digit of j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -169029813036011\nAnswer: 169029813036010.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3436 + -3423. Calculate the remainder when 1748 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9\/(1260\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7561 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c - 1. Let r = 134 - 122. What is the tens digit of k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:26 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114468, -114791, -115114, -115437, -115760, -116083?\nAnswer: -116406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 8. Let k be 18\/8*(-32)\/12. Determine r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451718, -1451714, -1451706, -1451694?\nAnswer: -1451678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5 and 38\/663?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*l - 17785 = -5081 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)\/sqrt(5) - sqrt(13))**2*-1.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1756.89 (b) -6 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:35 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -98. Let l be 2*4\/q + (-74)\/(-8). Suppose 0 = l*j + 7 - 133. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 8*i + 6. Determine s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43 + 9 - 105 - 71 - 47*p - p**2.\nAnswer: -(p + 5)*(p + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4100002 + (2 - -2)\/(-2). Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274771830 divided by -27477183?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 22. What is the nearest to -0.1 in y, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19513987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-594)*9*9. Let p = 7 - 7.5. Put 0.5, m, p, 1\/6 in descending order.\nAnswer: m, 0.5, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 + -18. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16 - (20 - (-2928)\/(-360)) and 286\/285 + (-1)\/1.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12591 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8421 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21950.4 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - 0.06. Let y be (-74)\/(-12) + 8\/36*-6. Let p = y - 14\/3. Put 3, p, q in decreasing order.\nAnswer: 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -30. Let g(d) = -d**3 + 7*d**2 - 4*d - 10. Let n be g(z). Solve -2*s - 3*y = 1, -s - n - 3 = -3*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:35 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/2)\/((-3)\/6). Suppose b*i = 6*i - 30. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 10. Let n(l) = -7. Let b(v) = -2*j(v) - 3*n(v). Calculate b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 27. Let v be r(12). Let u = 16 - 8. Let i = u + v. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185457358\/9 or 20606372?\nAnswer: 185457358\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 6*t**2 + t + 7. Let u be x(-6). Solve n**3 - u + 1 + n - 7*n**2 + 5*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 114.6, -1, 78, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19423749, -19423750, -19423751?\nAnswer: -19423752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 2. Let y = -167 - -166.8. What is the nearest to -2\/9 in y, g, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-34)\/(-8). Let r(u) = -u**3 - 4*u**2 - 4*u - 3. Calculate the remainder when r(b) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/975)\/((-224)\/(-80)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 20. Suppose 0 = 3*y - r*y + 8. Let -3\/4*b**2 - 3\/4*b**3 - 1\/4*b**y - 1\/4*b + 0 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6)*(-20)\/15. Suppose c*j = 98 + 14. Calculate the remainder when j is divided by 93\/5 - 4\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkxx when four letters picked without replacement from kkxkxxxxxkxxxxkkkkkk.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 30851 and 3.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 7. Let y be q(8). Let x(s) = -3*s - 5. Let v(f) = 1. Let b(i) = y*x(i) + 6*v(i). Differentiate b(h) with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 5*p**4 - 4*p**4 + (8*p**2 - 2*p**2 - 2*p**2)*(51*p**2 - 103*p**2 + 46*p**2).\nAnswer: -21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -28, -1\/3, -167\/7.\nAnswer: -28, -167\/7, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*1)*3 + sqrt(152))\/(sqrt(72)*-2).\nAnswer: -7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6401?\nAnswer: 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3112*t + 255*t + 368354 = 331*t + 998 for t.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -8, -7, -6, -5?\n\"Answer: r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*w = -177*w + 28. Let f(x) = 3*x - 2. Suppose 3*j - 4 = 8. What is the lowest common multiple of w and f(j)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-160))\/(1\/(-2))*(-67)\/(2747\/7544)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 2812656.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v + 20. Let p be t(-3). Let j = 59 + p. What are the prime factors of j?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {m: 4, x: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*g + 6, -5 = -1331*g + 1326*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 10. Suppose -o - 3 = -3*i. Solve 0 = r + i + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4122 and 7290?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425442 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-3)*(-6)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 62122*l - 62126*l + r, -5*l + 32 = -r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 6. Let s(h) = -3*h + 32 - h + 2*h - 26. Let l be s(5). Let p be f(l). Solve 1 = 3*y - 3*u + 5*u, 5*y - 5*u - p = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6028.1 times -569\nAnswer: 3429988.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 13*r - 40. Let k = -85 - -124. Calculate the remainder when k is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:24 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204518 plus -10?\nAnswer: 2204508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 30. Let c be s\/(-6)*12\/(-10). Let h(p) = -p**3 + 2*p**2 + 2*p - 2. Let f(r) = 1. Let o(z) = 2*f(z) - h(z). What is o(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 - 7*c**2 + 1. Let p(o) = 3*o**3 - 4*o**2. Let v(w) = 4*i(w) - 7*p(w). Let g be v(0). What is the first derivative of 0 + 1 + 2*m**g - 3 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*f)*(74*f**2 + 5 - 5 + 184*f**2).\nAnswer: -516*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1377137, 1377149, 1377163, 1377179, 1377197?\nAnswer: 1377217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -986*b - 5001. Give f(-6).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -370791 divided by 51\nAnswer: -123597\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 13*d - 2. Let f = 9 - d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454251.3 litres to millilitres.\nAnswer: 454251300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (123 - 127) + (-9 - -15 - (0 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (3 + 4098\/(-818)). Let w = -28229\/818 + s. What is the common denominator of 43\/10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -101 (c) -1\/7 (d) 24 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o**2 - 4*o + 3. Let x be w(-4). Let q = x - -65. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 89 = 16. Let g(m) = 56*m**2 + 1. What is the remainder when g(1) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 plus 53673?\nAnswer: 53354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1392 - 1400) + 10 + (-1 - -1) + (-12 - 29).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + x + 2*x - 2, -4*x - 4 = 0. Let y(m) = m**2 + 5 + m**2 - m**2 + 3*m + 2*m. Let r be y(s). Solve 2*w + o + 0*o + 13 = 0, -3*o - 35 = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 354?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 196375552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/20 + (-2)\/8. Let p be 2\/1 - (u + -1). What is the units digit of (p - 0\/(-3)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = 5. Factor -2 + i - 3*i - 2*i - i**h - i**2.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2 + 2*v - 1. Let o be s(1). Put 3, 1\/6, 0.4, o in ascending order.\nAnswer: o, 1\/6, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d + 294 - 11*d**3 - 294 wrt d.\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7987, 16289, 24903, 33829, 43067, 52617, 62479?\nAnswer: 72653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52*(-15)\/(-60840)*(12\/(-1))\/(-2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:21 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/2 - (54\/(-12))\/(-9). Suppose 0 = -y*z - 25 + 5, 1440 = 4*x - 3*z. List the prime factors of x.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-4))\/(-1 - (-6)\/8). Let v = -95 + 97. Is 2 - ((-2769)\/z - v\/5) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12296*q**2 + 24575*q - 34 = 0 for q.\nAnswer: -2, 17\/12296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235 + 61 + 592*l**3 + 123 + 141 + l**2 wrt l?\nAnswer: 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 137*r - 394. List the prime factors of m(-43).\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327 + -306436063\nAnswer: -306436390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 9727*h**3 - 36*h**2 + 9725*h**3 = 0 for h.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 9410667.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -224, -742, -1748, -3404?\nAnswer: -5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22300038829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-145)\/(-30) + -9 + 4. What is the nearest to -0.1 in a, 4, -2, -1\/79?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627.812 tonnes in micrograms?\nAnswer: 1627812000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(0 - -1)*(6 + -64). Suppose 4*q + 138 = 2*m, m = -q + w - 35. Calculate the greatest common factor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 0. Suppose z = -2*n + 5*v + 55, -4*n + 4*v + 16 = -64. Suppose -4*m + m - n = -h, -h = -4*m - 16. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 620 = -205. Let c = 871 - 826. Let w be (o\/2)\/(c\/120). Round w to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176247 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -2. Let v = -188 + 559\/3. Put -0.2, k, v in decreasing order.\nAnswer: k, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016544762 rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -22. Let w = q + 44. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(110) - (sqrt(110)*-2 - sqrt(110))) + sqrt(110) - -5*((sqrt(110) - (sqrt(110) + -1*sqrt(110))) + sqrt(110)))\/((2*sqrt(1620))\/sqrt(2)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 31*c**5\/20 - 11*c**4\/12 - 29*c. Find the third derivative of l(u) wrt u.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.04, -2\/9, -0.833, 0.2 in ascending order.\nAnswer: -0.833, -2\/9, -1\/5, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -451417272?\nAnswer: -451417274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.194 - 104.806. Let i = w - -104.92. Let r = i + 0.18. Which is the closest to r? (a) -2 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -0.2, -51, 2454, -5.\nAnswer: -51, -5, -3, -0.2, 0, 2454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -8, 72836, -4?\nAnswer: 72836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1335 + -403412?\nAnswer: -405050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277058784.\nAnswer: 2, 3, 2886029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 5773 (c) 837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*n + 76, 4*n + 73 = 4*u - 9*u. Let w = 53 + u. Calculate the remainder when 107 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 0) + -1 + -32 + 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-722 - 707 + 1324)*(3*j - 11 + 11)*(3 - 5 + 0).\nAnswer: 630*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -73. Suppose -3 = -a*f + 4*r + 1, -r - 1 = 0. Solve s - 4*s = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2475849*k + 1237927*k + 1237920*k.\nAnswer: -2*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 106*s - 32. Let u be i(18). Put u, 3, -15 in decreasing order.\nAnswer: u, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by 41\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 7361965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -11. Let j = 5 + k. Let m = j + -1.1. Is m < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2482)\/(-1825))\/(5\/125)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(32))\/sqrt(11).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 7, f: 1, l: 8}. What is prob of picking 1 l, 1 n, and 1 v?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b*b\/(b*b\/(b*b**(2\/11))))**18*((b*b\/b**(-1))\/b)**35*b**4*b\/b**(2\/9) assuming b is positive.\nAnswer: b**(4163\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*j + 267*j + 62745 = -507*j - 54435 for j.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -f + 1697, -5*b - 2*f + 6*f + 2834 = 0. Calculate the least common multiple of b and 16.\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38858 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**3*m*z + i**3*z - 2*i**2*m*z - 4*i*m*z - 6*i*z - 2*m wrt i?\nAnswer: -24*i*m*z + 6*i*z - 4*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**2 + 169*j + 1008. Give u(-6).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 17478714.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5 - 10*v**3 + 8*v = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 + 385. Suppose -k*n + 20 = -119*n. Is n at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**2*m**2 - 3*j**2*m + 2768*j**2 + 78*j*m + 2*j + m**2 + 21*m wrt j?\nAnswer: -26*m**2 - 6*m + 5536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -1, 3\/56 in increasing order.\nAnswer: -1, -0.4, 3\/56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17 + (-56557)\/(-3335))\/((-1)\/(-5)). Let x = 0.44 + -0.04. What is the closest to -1 in x, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153259865 divided by -30651973?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5 + 5*w + 3*w**2 - 3*w - 5*w. What is the tens digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8008938433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 6) in base 16?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4467 is divided by 160.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 9*b - 78. Give p(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + (-490)\/(-6). Suppose 4 = y - 1. What is the least common multiple of y and (-2)\/6*j\/(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28344 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 2 + 361*a + 12 - 352*a. Let n be t(-5). Suppose -2*h = -5*s - n, 2*h + 4*s + 6 = -h. Solve -4 = -h*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 3*a**2 - 5*a**2 + (-17 - 1 + 8)*(0*a - 2 + 0*a + a**2) to s*a + b + u*a**2 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 11) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*r + 178*r = -396 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16293654.2 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(378) - sqrt(42)))\/sqrt(6).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51281*d**2*t**3 + 22*d**2 + 8*d*t**3 + 45639 wrt t.\nAnswer: -153843*d**2*t**2 + 24*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2928 + -20450\/7. Let a(t) = 25*t - 268. Let w be a(11). Which is bigger: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 40. Suppose 157*i = 156*i + 3. Solve 3*y + 5 = -4*n + v, -n = -2*y + i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 291*t**2. Let c(w) = 13787*w**2. What is c(o(u))?\nAnswer: 1167496947*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*o + 96 = 4*o, 48 = 2*f - 4*o. Suppose -5*v = 1 - f. Suppose v*c = -5 + 17. Solve z - 2*z = -2*m, c*z = 5*m + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhh when four letters picked without replacement from wwwtvthtxhwwttwwxwx.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -27.95. Let r = -1 + n. Let h = r - 0.25. Which is the closest to -0.1? (a) 0.2 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -37 (c) 8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 374 (b) -5 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-45)\/15 - 7\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -6. What is the third derivative of z*w**4 - 6 - 9 + 28*w**2 + 15 wrt w?\nAnswer: 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 20. Suppose 0*a = 3*a + 5*x + g, 4*x = -12. Solve 0 = -5*n - 5*t - 5, a*n + 15 = 2*t - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223 and -6389492.\nAnswer: -6389715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-39)\/65.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*d**4 - 6*d**3 - 1256*d wrt d.\nAnswer: -492*d**2 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 64 = 24*r. Is 3110 - (r - (-11 + 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 5:54 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65)*3 - sqrt(65)) - 3*sqrt(65)*6)\/((sqrt(50) + sqrt(150)\/sqrt(3)*5)\/(sqrt(40)\/sqrt(4)*-1)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7122362317 - 7122362000.00000254. Let n = -268 + -49. Let d = s + n. What is d rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -26*y + 132 - 21. Solve 0 = y*z - 24*z - 105 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lksslslsslllkslllll. What is prob of sequence ll?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32940.85s to microseconds.\nAnswer: 32940850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-91))\/(9\/126*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049251 to four dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2a5989 (base 11) to base 16\nAnswer: -744c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-14))\/((-26)\/(-64701))?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1\/2, 16\/51, 3, -8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -0*q - 71 - 98. Let a(s) be the first derivative of 0*s - 6 - q*s**2 + 2\/3*s**3. What is the second derivative of a(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 16. What is l(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((5 - 4)*1096)\/2?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:11 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119960.\nAnswer: 2, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 3*z**5\/10 + 2*z**4\/3 - 3*z**3\/2 - 14*z - 2. Let f(k) = -2*k**3 - 3*k**2 + 3*k. Determine 3*d(s) + 8*f(s).\nAnswer: 2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*m + 11, 3*p + 4*m = -0*p - 15. Let z be (3 - p) + -1 - 19. What is the units digit of z\/64 + 129\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303389 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 40*q**2 + 315*q + 1924. Calculate m(-8).\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3\/2*(-2 + 10 - 6)). Solve 5*c + 4*x - 9*x + 10 = u, -5*x = -c - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 2077, 4192, 7025, 10576, 14845, 19832?\nAnswer: 25537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -8. Let p be 5*(-3*(1 + -2))\/(1 + 2). Let u = 3 + -1. Sort -5, g, u, p in descending order.\nAnswer: p, u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36110832 divided by 1244?\nAnswer: -29028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1886 divided by -3952\nAnswer: 943\/1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxx when three letters picked without replacement from {d: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579, -2305, -5175, -9183, -14323, -20589, -27975, -36475?\nAnswer: -46083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.946298 millilitres?\nAnswer: 0.008946298","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 39*p**2 + 3*p + 3. Let u(n) = -34*n**2 - 3*n - 3. Let w(c) = 6*b(c) + 7*u(c). What is w(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8024cb + -9?\nAnswer: -802507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -17*a**4\/12 + 13*a**3\/6 + 15*a - 1. Let v(o) = -4*o**2 + 3*o. Calculate 6*p(r) - 26*v(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205481489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 1121 - 1116 + 12*g**3 + 2237.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 20 + 9 + (20 - 19)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -526?\nAnswer: 525.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 182, 256, 320?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 15 = 3*g. Let l = g - -6. Let j be ((-18)\/(-12))\/((-3)\/l). Which is the second biggest value? (a) j (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-80))\/(12881\/309144).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 12 = 2*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/(j**(-21\/4)*j))\/(j**(-27)\/j*j*j*j**(-28)*j) assuming j is positive.\nAnswer: j**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/10)\/(-2))\/(405\/(-1350)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5793115 is divided by 288?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*o + 278 + 313 - 472 wrt o?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2 + 2)*(54*g - 25*g**2 - 54*g) + 7 - 2*g**3 - 7 in the form y*g + f*g**3 + l + q*g**2 and give f.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681722 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114855 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -199*a*o**2 - 15*a*o + 19*a*v - 3*o**2*v - 351201*o**2 wrt a.\nAnswer: -199*o**2 - 15*o + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - n - 3 - 6 = 0, 0 = 2*m + 4*n + 14. What is the greatest common divisor of 311 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*o + 39, 270*c + 6*o + 26 = 268*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -472 and 1.31?\nAnswer: -618.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:41 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2193669432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -179\/2. Which is the smallest value? (a) d (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -0*k. Suppose 0 = f + 2 + 1. Let n be (f\/k + -1)*-2. Which is greater: n or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:03 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-24) + (-2702)\/(-5712). Let g = a + 143\/102. What is f in 3\/2*f + 1\/2*f**3 + g*f**2 + 1\/2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-2 - -8)) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 30. Suppose 5*v - 56 = -s*u + 40, 0 = -3*u - 2*v + 87. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 419915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(500)) + -1)**2 + (5 + sqrt(405))*6 + 0.\nAnswer: -2946*sqrt(5) + 18655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 4*i = -967, -4137 = -2*g + i - 4057 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*1768\/(-78)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -15d?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, 5 in ascending order.\nAnswer: 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + 0\/(-3) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.95 - 3.077. Let q = 1822.015 - 1822. Let p = q - y. Round p to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1296, -7575, -18840, -35091, -56328?\nAnswer: -82551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/9*(-1)\/(-5). Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1399)\/4)\/(34\/(-8) + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**2 - 24*h**2 + 224*h - 224*h as t + p*h**2 + b*h and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:52 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a044 (base 16) to base 8.\nAnswer: -120104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/6 - 445*o**3\/3 - 198025*o**2\/6 = 0.\nAnswer: -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.02. Let s = h - -2.11. Put 3, 0.3, s in ascending order.\nAnswer: 0.3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 + 2509296*x + 55206448 = 0.\nAnswer: -22, 627346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 10) to base 13\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013825496 to the power of 1\/2, to the nearest integer?\nAnswer: 31841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7665 - -5019. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/70)\/((-3)\/30*-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-10) - 7)*4*5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 0.5, 3\/14, 14\/13, -0.3?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z - 672 - 574 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, k: 2}. What is prob of sequence rr?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 + c + c**2 - 1186 - 840 to the form z*c**2 + u*c + g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 25*v - 13*v - 2*v. Let o(k) = -3*k**2. Give q(o(r)).\nAnswer: 111*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4821 by 31449.\nAnswer: 1607\/10483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*k + 29, 2 = k + 5*g - 25. Suppose 0*j + 22 = k*s - 5*j, -j - 8 = -4*s. What is the nearest to s in 4, -4\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 170. Suppose 9*g - p*g = -108. Calculate the remainder when (6\/(-4))\/((-6)\/208) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124162 - -124232.99941. Let m = -71 + w. Round m to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/12 - 11*v**3\/6 + 17*v**2 + 1014*v + 2. Determine m(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/19 - 2877\/2603?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2133023?\nAnswer: -2133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**5 - 2*j**3 - j**2 + 1. Let o(s) = 92*s**5 - 12*s**3 - 7*s**2 + 45*s + 6. Let w(b) = -6*a(b) + o(b). Find the third derivative of w(k) wrt k.\nAnswer: 5160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a - 102. Give t(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3913 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108))\/(sqrt(150)*-1).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**4 + 50*d**2*x**3 + 2*d + 8303*x**3 wrt d?\nAnswer: -108*d**2 + 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from rhr?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35304, -141340, -318070, -565494, -883612?\nAnswer: -1272424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313191, -626378, -939565?\nAnswer: -1252752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 324 and 157684?\nAnswer: 51089616","meta":{"dup_signals":{},"source":"arithmetic__mul_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: b\"What is the nth term of -4, -197, -526, -997, -1616, -2389?\n\"Answer: -n**3 - 62*n**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-3 - (-5 - 7 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvc when four letters picked without replacement from nxvxxvxxnnxoxnxccvvx?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84719.41um in nanometers?\nAnswer: 84719410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -53, -46, -39, -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyy. Give prob of sequence dydy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*g**3*r + 359*g**3 + 29*g**2*r + 73*g**2 + 9*g*r wrt g.\nAnswer: -174*r + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 11 = -3*u, -5*u = 2*a - 6*a + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 3*b, -b = 3*g - 6. Let m(n) = n**3 + 2*n**2 - 3. Let o be m(g). Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/5 + 25062*k**3\/5 + 78349796*k**2\/5 - 1023138816*k\/5 - 1101463552\/5 = 0.\nAnswer: -6272, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 5*j - 31606 - 4*j - 67123 + 29*j**3.\nAnswer: 29*j**3 + 2*j**2 + j - 98729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34933, 34425, 33917, 33409, 32901, 32393?\n\"Answer: -508*w + 35441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 312488, 624864, 937240, 1249616, 1561992, 1874368?\n\"Answer: 312376*k + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3282 divide 428397795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4\/3 - 158720*t**3\/3 + 634924*t**2\/3 - 793672*t\/3 + 105824 = 0 for t.\nAnswer: -39684, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(89*a**2 - 804 + 404 + 394) to j*a**2 + z + i*a and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.1 - -25.291. Let b = 0.191 - d. Which is smaller: -134 or b?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 25, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:51 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 105*p + 422. Let l be m(-4). Solve -18 = -b - l*t - 21, 5*b - 5*t + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -12*o**3 - 5*o**2 + 5*o**2 + 122*o**5 - 119*o**5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*s = 98, 0 = -5*g - 2*s + 120 + 16. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 8*a**2 - a - 29. Calculate the remainder when o(-7) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = 0, 5*w - 9 = 2*m + 8. Sort -1, 2, m, 114 in descending order.\nAnswer: 114, m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1040265 + -2?\nAnswer: 1040263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179*g*h**3 - 2*g*h**2 - 642*h**3 wrt g?\nAnswer: -179*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -16*j + 15*j. What is the remainder when 44 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 3)\/(3 + (-5)\/2). Let s be -1 + 2\/(-12)*-8. Let d = 0.26 + -0.26. Which is the nearest to 2\/7? (a) s (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*p + 4\/7*p**2 + 0.\nAnswer: 4*p*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - 2 + 11840*c**2 - 11323*c**2 to s*c**2 + x*c + p and give s.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-4410)*-21 - (-4608)\/1134\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/6 + 75*k**5\/4 + 95*k**4\/3 + 5*k + 69. Determine b, given that f(b) = 0.\nAnswer: -1, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33254862843 - -0.764.\nAnswer: 33254862843.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*y = -32, q + 20*y - 25*y = -111 + 123 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0515 and 224011?\nAnswer: 224010.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10122)\/1122 + 9)*33\/9?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (-7 + -60 + 21 + -26 + 18)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 1, r: 3, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000851997 rounded to seven dps?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.159926 years to decades.\nAnswer: 0.0159926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1710 and 86355?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.5 - -4. Let q = 0.3 - s. Let g = 2.8104 - q. What is g rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15923640 to the power of 1\/2, to the nearest integer?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) + sqrt(672) + -4*(sqrt(672) - (sqrt(672) + -1*sqrt(672) + sqrt(672))))\/(sqrt(60)\/sqrt(80)))\/((sqrt(72)*2*-1)\/((sqrt(36)*2)\/sqrt(4))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 5, 4 in ascending order.\nAnswer: -17, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.08 + -0.08. Let n = s - 2. Suppose v + 3*h - 9 = 0, 0 = -v - 3*h + h + 7. Sort n, v, 0.4 in decreasing order.\nAnswer: v, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -74. Suppose -o = c - 21, 5*c + 4*o = 72 + y. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -37, 4\/3, 1\/778931?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3821*a*p**3*y - 1794*a*p**2 - 11*p**3 + 2*p*y + y wrt y?\nAnswer: -3821*a*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-37)*j*j**24)\/(j**15)**14 assuming j is positive.\nAnswer: j**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, 9348, -1\/5 in descending order.\nAnswer: 9348, 280, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121\/200 - 197\/1400. Which is the fifth smallest value? (a) -2\/3 (b) 4 (c) 6 (d) l (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**3 + 11*d**3 - 32*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/546041 and 1\/76038.\nAnswer: 75353658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-2) + -3 + 7. Let j = -7\/16 + 207\/400. Which is the biggest value? (a) n (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 284*a**2 - 6*a - 9. Let u be (20\/(-25) + 0)\/(2\/10). Let j be g(u). Suppose -j - 2251 = -6*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31865.7, 1, -6?\nAnswer: -31865.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138595, 277185, 415801, 554455, 693159, 831925, 970765, 1109691?\n\"Answer: 2*p**3 + p**2 + 138573*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by -22459.\nAnswer: -194\/22459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4195339798 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6549043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 + 5*x + 9. Let h(m) = m**2 + m + 6. Let z(l) = -5*h(l) + w(l). Let p(r) = -4*r. Determine p(z(f)).\nAnswer: -8*f**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 997762296*i*p**5 + 2*i*p**4 - 7412*i*p**2 - 38836*p wrt p?\nAnswer: 59865737760*i*p**2 + 48*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2252082 (base 9) to base 6.\nAnswer: -42014245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/12 - 3)\/(40\/(-192)). Solve 13*j + 5 = -2*t + 10*j, 0 = 4*j + z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(21\/60)*1. Let g = l + -12. Solve 0 = q + q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 40 = 10*p, 5*p = -u - 12 + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9a (base 12) to base 3\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:15 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-10))\/(25\/(-40))*5)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (15 + -7 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 3439.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c + h, 7*c - 12 = 3*c - 4*h. Solve -3 = q - c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30525 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 958903 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m - 1. Suppose s + 9*s = -50. What is b(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 114\/(-8) - ((-204)\/(-24) - 10) and 43\/119?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278397144 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + b7d17d?\nAnswer: b7d175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - ((sqrt(105)*1 - sqrt(105))*-6 + sqrt(105)))\/((-2*sqrt(77))\/sqrt(11)))\/(-4*(sqrt(192) - -4*sqrt(192))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110101010100011011?\nAnswer: 110101010100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163.28 + 163.78. What is the closest to 18\/61 in y, -1, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a - 88. Let d = 44 + a. What is d rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(4\/9))**(-6\/7))**35)**(1\/9) assuming i is positive.\nAnswer: i**(-130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83954.847 + -84097. Let q = -142 - g. Round q to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2016596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-41 - (36 - 133 - -19))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1658947.9?\nAnswer: -4976843.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336136094?\nAnswer: 2, 7, 2237, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5835223, -11670433, -17505627, -23340799, -29175943?\nAnswer: -35011053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14 = -a, 184*a - 180*a = 3*x + 10. Let r(g) = g**3 + 6*g**2 - 2*g - 9. What is r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/1)\/(861\/(-287))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3811 - 657. List the prime factors of u.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 579, -39, -2, 3, 4 in increasing order.\nAnswer: -39, -2, 3, 4, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.2. Let k = -0.96 + w. Let s = 0.36 + k. Sort -2\/5, -5, s in increasing order.\nAnswer: -5, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -192 + 647. Let l = -20 + v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159 + -158.985. Let k = 545.985152 - 546. Let u = k + h. What is u rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3869*v + 482*v = -56563 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 7*u**2 + u - 7. Let t(k) = -k**2 + 8*k - 5. Let p be t(6). Let v be a(p). Solve 6 = -3*n - v*n - 3*z, -4*z = -2*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**6 + 0*v + 0*v**5 + 0*v**2 + 0*v**4 + 5 - 2\/3*v**3. Find the third derivative of a(h) wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 4\/45, -1.41?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/42*(-8 - 57\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n + 2*j - 10, -5*n = -3*j + 21. Put n, -9, -5, -2 in ascending order.\nAnswer: -9, -5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-42468)\/(-9))\/(1 + 5 + 312\/(-54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 27*o + 53*o - 39*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -264*z - 2*z**4 + 2 - z**3 - 16*z**2 + 264*z as w*z**3 + g*z**2 + b*z**4 + f + n*z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 68 - 173*q**2.\nAnswer: -173*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025002248 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11874763, 11874691, 11874617, 11874541?\n\"Answer: -i**2 - 69*i + 11874833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.8. Let h = -0.2 + o. Let t = -635 - -633. What is the nearest to h in t, 2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.07, 1\/4, -1.4, 2\/17 in ascending order.\nAnswer: -1.4, -0.07, 2\/17, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1639 - 206. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29 + 2)*(-3)\/9. Let n = p + -3. What is the second derivative of 3*r + 2*r**5 - n*r**5 - 3*r**5 wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmgjgvmqgvmgagmam. Give prob of picking 1 v, 1 m, 1 q, and 1 g.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1980 greater than -3197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, u: 1, l: 1, n: 2, s: 2}. What is prob of sequence oss?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + i + (0*i - 3*i - 9*i)*(-3 + 4 - 3) - 4*i - 4*i + 2*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, k: 4, a: 3}. Give prob of picking 1 a and 1 h.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 2*j = 10, 3*s - 5195*j + 5198*j = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/16 - (5 - 3257) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (60 - (35 + 80))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-98)\/14 - (4 + -2 + -6). What are the prime factors of (-17196)\/(-42) + 3\/21*y?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 0.1, -2, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1039 + 1039.3. Suppose 0 = 5*g + 6 + 4. Is k != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16071943 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 793.\nAnswer: 7137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8665 divided by -5.\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/y**(29\/3) assuming y is positive.\nAnswer: y**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/312 and 93\/3194.\nAnswer: 498264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 - 6*k + 10. Let s be x(-7). Suppose 395 = -s*g + 1076. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*m - 348 = 379*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 63*t**2 + 1259*t - 595*t - 65*t**2 + 2559*t - 45.\nAnswer: -2*t**2 + 3223*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3039*y**3 - 7 + 3030*y**3 - 6071*y**3 + 37.\nAnswer: -2*y**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1850944*u**4 + 68*u**3 - 264307748*u**2.\nAnswer: 44422656*u + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-228)\/(-9)*(-8 - -2)\/(-2). Let y be 16\/24 - r\/(-3). Let b = y - 25. Solve -3 - b = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -41 - (86 + -93).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:15 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-189))\/((-8)\/(-112)))\/((-16)\/(-88))*-3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**29\/((g\/g**6*g)\/(g*g*g**(-1\/9)*g)) assuming g is positive.\nAnswer: g**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 171\/18 - -4\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -45, 0 in decreasing order.\nAnswer: 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -147. Let a = t + -59. What is the remainder when (1 - 1) + a + -2 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 19. Let s = w - -12.9999945. Round s to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 40.94.\nAnswer: 409.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14983 - 30543 + 15054 - 3 - 2 + 4 - 2 + 1 + 3 + (-5 + 3 + 3)*(-5 - 1 + 4) + 3 + 4 - 5 + 0 + 3 - 1 + 5 + 2 - 5)*(4*a**3 + a**5 - 4*a**3).\nAnswer: -501*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + x = 3*x - 10, -5*j - 2 = -4*x. Solve -2*w = j - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-2\/9)*b*b\/(b*(b*b**(-9)*b*b)\/b)*b*b\/b**(-1\/4)*b*b)\/(b**(-6)*b*((b**(1\/2)\/b*b*b*b)\/b)\/b)**(-16) assuming b is positive.\nAnswer: b**(-2135\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let p(v) = -2*v - 7. Let x be p(-6). Suppose x*h - 3*h + 52 = 4*t, i*h + 16 = 0. What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 228?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 13*p**2 - 6*p - 42. Give d(12).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**6*r)*r\/((r*r**(-5))\/r))\/(r\/((r\/(r\/(r*r\/(r**(-4)\/r)))*r)\/r)*((r*r**6)\/r)\/r*r))**(3\/10))**(11\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-108))\/((-2)\/(-6)*5). Which is the nearest to q? (a) -0.5 (b) -0.1 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7 = -43. Solve 0 - q = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 13 = 5*n, -3*i + 5*n = 4*n + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22*54\/360)\/((-11)\/110)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -m - 2, 36 = 3*d + 4*m. Let y = 4 - d. Let x = 8 - 11. Put -5, y, x in descending order.\nAnswer: x, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62876455, -62876457, -62876459?\n\"Answer: -2*s - 62876453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1336.749 to the nearest 10.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16233110 (base 7) in base 14?\nAnswer: 2cc907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0) + -2 + -3 + 4. Suppose c = -5*j - 10, 141474 = 3*w - 5*j + 33764. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 14*u**2 - 59*u + 3. What is the hundreds digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-159920)\/36 - (-14)\/63. Is 24 a factor of -5*(-9)\/(-225) - u\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:20 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45054481 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 36. Let p(s) = 16*s - 18. Let x be p(g). Which is bigger: x or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -674250759.\nAnswer: -674250758.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 8131\nAnswer: 97572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**3 - 23*b**2 - 13*b - 19. Determine c(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let u = a - -5. Let c(w) = w - 5. Let t be c(u). Solve i = -t + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5328 is divided by 378.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6698 - 6759) + 1 + 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3\/7 (c) 30.2 (d) -21.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55852145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 - 4*f**2 + 4*f + 3. Let m = -6 - -2. Let i be (-8)\/(m - -2)*(-5 + 6). Let q(t) = -6*t**3 - 5*t**2 + 5*t + 4. Give i*q(r) - 5*j(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x*x\/x**(1\/4))\/(x*x*x\/(x**0\/x)*x*x*x**(-7)) assuming x is positive.\nAnswer: x**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 124 - 52 + 10*v**2 as k + g*v + u*v**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28807179.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, 85, 466, 849, 1234?\n\"Answer: v**2 + 376*v - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48757388?\nAnswer: 2, 199, 61253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l**3*n - 20*l**3 - 13*l*n**3 wrt n?\nAnswer: -6*l**3 - 39*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/5 - 2526*s**4\/5 + 1060908*s**3\/5 - 147097384*s**2\/5 - 450908688*s\/5 = 0.\nAnswer: -3, 0, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 65635845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1887578 divided by 11\nAnswer: 171598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from bllbrrlblbbblbrlb.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*c + 8 = 2*c, 0 = -3*k + 3*c + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let g be -4 + ((-130)\/(-22) - 3\/(-33)). Let i(b) = 3 - b**g + d*b - 6*b + 7*b - 3*b. What is i(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 >= 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 191*n - 204*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and 11\/16226.\nAnswer: 32452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 189*t**4\/4 - 245*t**3\/3 + 2*t - 255. What is the second derivative of z(q) wrt q?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 632*q - 2. Let p(t) = -439*t. What is l(p(z))?\nAnswer: 578163*z**2 - 277448*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c**2. Let y(g) = 361*g. Give p(y(n)).\nAnswer: -1694173*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = -k + 990. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109973 is divided by 418?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 22*n**2 + 3*n + 10. Calculate j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 182*a**2 + 346*a + 38665. Determine z(185).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -512637 (base 8) in base 11?\nAnswer: -106288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 280812 divided by -12\nAnswer: -23401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21.6 and -0.09.\nAnswer: -21.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-165)\/10) - 40\/(-22). Suppose 3*i - 8*m = -11*m + 15, -c*i + 4 = -4*m. Solve -i*t - 4 = 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d + 4. Let o(q) = 10*q + 5. Let c(i) = 4*l(i) - 3*o(i). Is c(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 51 = o, 5*l = 2*o + 3*l - 132. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.032.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -891 (base 12) to base 2.\nAnswer: -10011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2249*k**2 + k. Let i(m) = 2*m. Determine i(d(w)).\nAnswer: -4498*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111100100100011 (base 2) to base 8.\nAnswer: 3074443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -411. Suppose y = 5*j + 86. Suppose 154*t - 148*t = 144. Calculate the remainder when j is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16)**18 assuming r is positive.\nAnswer: r**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - k**2 - k - 8. What is s(-3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m - 396 = -170*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1795.1 and 20?\nAnswer: -35902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j**(-2\/3)\/j*j))\/j*j)**(-1\/59)\/(j**1*j)**(-1\/39) assuming j is positive.\nAnswer: j**(53\/2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 2, y: 6}. What is prob of sequence wy?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 828 divided by 276\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-8)*-1*-184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 2232*j + 9. Let h(s) = 3*s**2 + 2217*s - 12. Let m(p) = 3*h(p) + 4*t(p). Determine z, given that m(z) = 0.\nAnswer: -759, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2 - 2)*(-4*x**2 + 25*x + 6*x - 6*x) to the form o*x**2 + h*x**3 + g + r*x and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i\/i**(-9\/4)*i)\/i*i**(-6))\/(i\/(i\/i**0))**(-1\/28) assuming i is positive.\nAnswer: i**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/36 - 2\/(-9). Suppose -3*p + p + 4 = t. Let g = p - 0. Solve -g = 2*k + 3*k - b, -2*k + 6 = 3*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 44*m - 371. Give f(-50).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*b*m**4 - 7*b*m**3 - 3*b*m - 4*b - 3*m**3 + 6804*m**2 wrt m?\nAnswer: -3840*b*m - 42*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (0 - 6 - (18 + -28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**8\/840 + r**4\/12 - r**3\/6 - 3*r**2. Let q(z) be the first derivative of j(z). What is the derivative of q(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363450 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 600 = -6*h + 5*h, 1784 = -3*q + h. Let d be (-10)\/(-75) + q\/(-30). Does 12 divide -27*(-3 + d\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141495467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 8. Let n be h(6). Let q be (2 + n)*2\/(-4). Is 1\/q*(-2 + 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*r**3*u - 32*n*r**2 + 4*n*r*u - 7*n*r + 2*r**3*u wrt r.\nAnswer: 12*n*r*u - 64*n + 12*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d + 69*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14892 and 657?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14736157 < -103153091\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 2*m**6\/15 - 2*m**5 - 37*m**4\/3 + 332*m**3\/3 - 240*m**2 + 25*m + 49. Let k(x) = 0. What is x?\nAnswer: -5, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - z**2)*(-1 + 1 - 2*z) + (10*z + 6*z + 26*z)*(4*z**2 - z**2 - 2*z**2).\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2663, 5674, 9029, 12728, 16771, 21158?\nAnswer: 25889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13556662 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:12 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 1 - 339*u**3 - 5*u + 0*u + 295*u**3.\nAnswer: -44*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-166)\/(-12) + 95\/(-114). Calculate the greatest common factor of w and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 4*r**2 - 20*r**2 - 10*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(-6)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*o = -260*o - 44. What is the hundreds digit of o - -9 - 2052\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**3 + q**2 - q - 1. Let o(m) = 236*m**3 + 2368*m**2 - 475192*m + 31522416. Let t(f) = -20*d(f) - o(f). Factor t(p).\nAnswer: 4*(p - 199)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Let g = 10 + -10. Suppose -6 = -g*t - 6*t. What is the nearest to -2\/7 in t, -2, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 38. Which is the closest to 1? (a) 0.2 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 a factor of 188563509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 15. Let b be (-441)\/343*35\/(-3). Find the third derivative of -b*k**5 + r*k**5 + 13*k**5 + 10*k**2 wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {z: 5, x: 1, g: 7, l: 5, a: 1}?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.824 + 0.9502272?\nAnswer: -193.8737728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6006506 + 25?\nAnswer: -6006451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 + 402*b - 402*b.\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 0, -w + 79 = -5*x - 0*w. Let b = -3.004 + 2.904. What is the third smallest value in -0.5, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -47 (b) -0.0393 (c) -0.2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.26236 to one dp.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -40*x**3 - 41*x**3 - 1 + x + 82*x**3 - 4*x + 2*x**2. Determine s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/5 + 484*v**4\/5 - 478*v**3\/5 - 964*v**2\/5 = 0. Calculate v.\nAnswer: -1, 0, 2, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 3*b)*(-5 - 1 + 0) + b + 5*b - 4*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swiwwwisswsi. What is prob of sequence is?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1624 divided by 1203\nAnswer: 1624\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -38, -84, -146, -224?\n\"Answer: -8*h**2 - 6*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 682 - 191. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*2*-4)\/((sqrt(96)*-2 - sqrt(96))\/sqrt(8)) + 2)*-6)**2.\nAnswer: 384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**2 - 1\/3*a**3 + 0*a + 1\/24*a**4 + 1\/12*a**5 + 1\/120*a**6 + 0. What is the least common multiple of f(-4) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -47. Let l(s) = 5*s**3 + 4*s**2 - 4*s + 3. Let u(y) = -y**3 - y**2 + y - 1. Determine m*l(q) + 4*u(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91\/2381 - -116561\/4981052. Find the common denominator of g and -21\/11.\nAnswer: 23012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -9. Let j = 0 - d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623700022?\nAnswer: 2, 3, 23, 53, 358723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1595*w - 1. Let y(j) = 4*j. Calculate -v(i) + 3*y(i).\nAnswer: -1583*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 23*r - 30. Suppose -2*l - 4*u + u = -10969, 4*u - 10966 = -r*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17465?\nAnswer: 5, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8746.341 decades to millennia.\nAnswer: 87.46341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let i(h) = -h**2 - 2*h. Let v be i(j). Suppose -5*u = -34 - v. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*5814565\nAnswer: 87218475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = -16*x - 529 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4 - (-1770)\/(-1596)) + 30\/(-285).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvyyyyyyyyyvyyvyy. What is prob of picking 3 y?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 290.3 and 892?\nAnswer: 258947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 33*u**2 - 639*u - 399. Let i be d(20). Let g(p) = -p**3 + 3*p**2 - 2*p + 3. Let x be g(2). Calculate the greatest common factor of x and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = -30*n - 72*n + 1050. Let x be 6 - 0 - 8\/(-4). Solve -n*b - x = -9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -16*c - 84. Sort 1, c, -1, 38.\nAnswer: c, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1653*v + 6604. Give x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 10*y**2 + 6. Let b be m(-10). Suppose -c = 3*n - 16, 3*c + 83 = 5*n + 201. Let t = c - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - 2*u**4 + 4*u**4 + (-5*u + 3*u + u)*(-u**3 + 3*u**3 - u**3) - u**4 - 2*u**4 + u**4 + 3 + 5*u**4 - 3.\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*m = 139*m + 10. Sort 3, -3, m, -7 in decreasing order.\nAnswer: 3, m, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d - d)*(-3 - 3 + 4).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikk when three letters picked without replacement from {k: 2, m: 7, o: 2, i: 5, x: 2}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*l - 6 = 3*s + 951*l, 2*l = 4*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 w when four letters picked without replacement from dndgwnddwdgdnddgnd.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 5, 0, 2, 1173, -1 in descending order.\nAnswer: 1173, 11, 5, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3 (c) -18.7 (d) 216 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 11:51 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416744*v**5*x - 1129*v*x - 38*v - 2*x + 2 wrt v?\nAnswer: -8334880*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (sqrt(612) + 0 + -2)**2.\nAnswer: -24*sqrt(17) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*u - 4464, 2*u + 2*t = -2*u + 4452. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p - 5239842. Let q(i) = 2*i. What is q(d(z))?\nAnswer: 4*z**2 - 2*z - 10479684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.47602161 to 3 dps.\nAnswer: 11.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/413)\/(1 - 30\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 14. Let b be (1*(-2)\/4)\/(l\/(-28)). Suppose -b*k + 6*k + 3 = 0. Solve 0 = y + 3 - 6, k*v = 4*y - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbekeccbkckcnb. Give prob of sequence ebb.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 635, 1252, 1869, 2486, 3103?\n\"Answer: 617*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -0.4, 9\/38, 3\/7, 0.52 in increasing order.\nAnswer: -0.4, 0, 9\/38, 3\/7, 0.52, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 24 = -8*t. Let c(n) = n**3 - 7*n**2 + 7*n - 7. Let g be c(t). Let p(a) = -33999*a**2 - 1. Let k be p(g). What is k rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343602 and 6?\nAnswer: 343602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 490 = -3*a. Suppose -f = -4*d + 114 + 47, -2*d + a = -4*f. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -385 or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 0.02, 4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41212 (base 7) to base 6.\nAnswer: 114314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 5. Let r(m) be the second derivative of -m**4\/12 + m**3\/2 + 10*m**2 + 3*m. Let o be r(d). Which is the nearest to -0.1? (a) -4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1509*i + 700247. Calculate t(464).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) - -6*2*sqrt(153))) + (sqrt(153) - (sqrt(153)*-1 - sqrt(153))*-6))*6)\/((sqrt(270)\/(sqrt(20) - sqrt(5)))\/sqrt(6)*3).\nAnswer: -46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157\/168 + -17\/21. Which is the nearest to 0.1? (a) s (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164275046 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019704\/379 equal to 2690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 31. Let q(u) = -3781*u - 10. Let w be q(j). What is w rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + (1 + sqrt(1584))**2 + -3.\nAnswer: 36*sqrt(11) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12138 - -23785. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 10*q - 80. Determine o(-17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/32086 and -57\/10?\nAnswer: 160430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 36*v**2 - 7. Let z(k) = 4*k**2 - k + 1. Determine b(y) + 2*z(y).\nAnswer: y**3 - 28*y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 67 = 70, 4*m = -5*l + 69043. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10066822 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.40377 to 3 dps.\nAnswer: -2.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -60899+-66772\nAnswer: -127671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -928604, 4 in decreasing order.\nAnswer: 65, 4, -928604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 31969.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53582 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1138, 257, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 940*t**3 + 12704*t**2 + 111040*t - 422400 = 0.\nAnswer: -8, 3, 20, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-3) + (-2)\/(-6). Let i(r) = -3*r**2 - 5*r - r**3 + k*r - r. Let s be ((-2)\/(-3))\/((-28)\/12 + 2). Determine i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -20*n**2 + 1782*n - 201. Calculate y(89).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.163531 - -755.092831. Let w = t + -743. Let d = w - -0.076. What is d rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-122)\/252*-3 - (-2)\/(-12). Let 0 + 0*z + 3\/7*z**2 - q*z**5 - 3\/7*z**4 + 9\/7*z**3 = 0. Calculate z.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 9*v - 10. Let d be k(-7). What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2365804 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*s - 3598*s + 54020 + 75240 + 2788 = 0 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.8012 - 35.9. Let u = -0.11932 - d. Let i = 0.02 + u. What is i rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -10*f + 12886. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486665046.\nAnswer: 2, 101, 12310223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 674*u**2\/3 - 676*u\/3.\nAnswer: 2*u*(u - 338)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4298924.\nAnswer: 2, 7, 153533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 49. Solve -3*a - j*w = -w + 4, w + 9 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 + 0.04. Suppose 0 = -s + 3*f - 5, -4*s - f = -4*f + 11. Let y be s + 4*(-9)\/(-12). What is the biggest value in z, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 48253*z**3 - 48281*z**3 - 2*z.\nAnswer: -28*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((101 - -6) + (38 - 21))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 178*k + 3 + 4 - 174*k. Let o(z) = z**2 + z + 6. Let r be o(0). List the prime factors of c(r).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7222*l**3 - 331*l**2 + 715193*l - 7?\nAnswer: 43332*l - 662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x - 5. Let u be f(8). Let k = u + 7. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = -7*w + 1215. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 45 = 4. Let m(r) be the second derivative of r**5\/20 - r**4\/2 - 4*r**3\/3 + 5*r**2\/2 - 2*r. Let k be m(v). What is the closest to 3 in 0.3, -5, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-9)*(n**(-2))**(-3))\/((n**(-2\/9))**(2\/61)\/(n\/n**0*n)**(5\/11)) assuming n is positive.\nAnswer: n**(401078\/42273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.5, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/1908974 - -24618605942\/10499357. Let q = g + -2347. Calculate the common denominator of q and -5\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 2*l = 13*w - 38, -l + 85 = 7*w. Solve 14*h - w = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/6 + 7826025*f\/2 + 46956142\/3 = 0.\nAnswer: -23478071, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2\/2 + 2997*w + 213564 = 0.\nAnswer: -1924, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b. Let v(f) = 28*f. Let s(l) = 15*d(l) - 5*v(l). Let h(k) be the first derivative of 20*k**2 + 35. Calculate s(h(w)).\nAnswer: -200*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(5) + sqrt(45) + -2)*6 - ((sqrt(5) - sqrt(15)\/(1*sqrt(3))) + -4)) + -2).\nAnswer: -30 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1966*l - 3. Let r(q) = -492*q + 1. Determine -2*n(t) - 9*r(t).\nAnswer: 496*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 184*d + 709. Let y be j(-16). Which is smaller: -2237 or y?\nAnswer: -2237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - 5\/((-30)\/66). Let q(t) = -2 + 171*t - t**2 - 180*t - c - 5. Give q(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*n - 218*n + 8890 + 11676.\nAnswer: -2*n + 20566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 + 151*f - 69. Calculate g(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:57 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 136, 189?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -275, -593, -935, -1283, -1619, -1925, -2183, -2375?\n\"Answer: 3*z**3 - 30*z**2 - 249*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + sqrt(1700)*-3)*5 - -3*(2 + sqrt(1088)*2)).\nAnswer: -102*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28004935 by 217.\nAnswer: -129055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -418 in ascending order.\nAnswer: -418, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/30)\/((-132)\/(-1320)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 101.333, -11.4?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -154*(0 - (19\/2 - 40\/(-10)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*o = -4 - 1, 5*o = q + 13. Let b be (-2)\/q*33\/22. Let m = 1 - 1. Sort m, -4, b in descending order.\nAnswer: b, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -140, -271, -402, -533, -664, -795?\n\"Answer: -131*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 24, 80, 180, 336, 560?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 - 22*q - 81. Let j be p(-7). Suppose -j*f - 837 = -3957. What is the smallest common multiple of 25 and f?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 2, m: 2, d: 1, t: 7}. Give prob of picking 2 t and 1 g.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135947 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 10:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let x(v) be the second derivative of -v**4\/24 + 9*v**2 - 21*v. Let c(l) be the first derivative of x(l). Give 7*c(q) - 5*k(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + 3 + 0 - 5 + (12 + 0 - 2)*(-2 + 7 - 3))*(-z**3 - z**3 - z**3)*(-4 - 2*z + 4).\nAnswer: 114*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*u - 50 = 0, 2*n - 5*u + 0*u = 5. Let f = -85 - -220. What is the highest common divisor of n and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -13, -14 in descending order.\nAnswer: -4, -9, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*m**3 + m**2 + 70*m.\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 97 = -5*n, 5*n + 2*p + 3*p - 85 = 0. What is the remainder when (-64)\/(-2) - (-2)\/((-6)\/(-9)) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17396000 and 695840?\nAnswer: 17396000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 207062435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 325\/105 + (-671)\/(-231) + -1. Put p, 3, 32, 1, -6 in increasing order.\nAnswer: -6, 1, p, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1209979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2195648 and 1248?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -592.56406.\nAnswer: -592.36406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/6 + 3*r**4\/2 - 13*r**3\/3 - 7*r**2 + 25*r\/6 + 11\/2 = 0?\nAnswer: -11, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.69 - -1.39. Let q = o - 1.7. Which is bigger: q or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -147, -156, -169, -186, -207?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230450.1 minutes to microseconds.\nAnswer: 13827006000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33444.\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxymasmls. Give prob of picking 1 y, 1 s, 1 x, and 1 m.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 578025461?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - -76 - (-249 + -230 + 487)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -0.122 (c) -3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -3*j, 0*j - 2*j + 8 = 2*r. Suppose 0 = -3*f + j*i + 210, f - 60 = -5*i + i. Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1644818 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4896 times 1\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356755717.\nAnswer: 15889, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m - 7*m - 7*m. Let t(z) = z**2 + 5*z. Let k(l) = 5*g(l) + 4*t(l). Let a(c) be the second derivative of c**4\/12 - c. What is k(a(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5336, -10678, -16026, -21380, -26740, -32106?\n\"Answer: -3*u**2 - 5333*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2\/2 - 1. Let a(v) be the third derivative of -91*v**4\/12 - 51*v**2. What is y(a(c))?\nAnswer: -182*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 632\/1901 or -1?\nAnswer: 632\/1901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t - 3*t**2 + 2*t - t**2 - 2*t + (6*t - 4*t + 0*t)*(-2*t - t + 4*t) + (0 + 1 + 0)*(4 - 4 - t**2) - 5*t**2 + t**2 + 6*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-64)\/(-256) - 94\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -27*i**2. Let l(j) = -12099267*j + 12099267*j - 91*j**2. What is l(m(g))?\nAnswer: -66339*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.3, 5, 4805\/2, 0, 0.2 in descending order.\nAnswer: 4805\/2, 5, 4\/5, 0.2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.1 + 54.1. Which is the nearest to 2\/3? (a) -2\/9 (b) -2\/115 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3. Find the second derivative of 3*w - 4*w + 3*w + 4*w**a wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and -37\/263126?\nAnswer: 2368134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - m - 243, -6*n + n - 395 = 5*m. Let p = -54 - n. Suppose -172*i = -177*i + 260. What is the remainder when i is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 71. Let t be w(34). Solve t*d = 13 - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7639 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h + 13. Let n(l) = 2*l - 2. Let f(w) = -39*n(w) - 6*z(w). Let x(o) = 0*o**2 + 7*o**2 - 5*o**2. Determine f(x(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*t = 229*t - 203*t + 888 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 1\/2*s**2 + 0*s - 117. Let z(o) = -o + 64. Calculate b(z(u)).\nAnswer: -u + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 9. Let l be k(8). Let h be 6\/l + 28\/(-45). Is h > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9, 4090 in decreasing order.\nAnswer: 4090, 9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497 (base 12) to base 7.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.15, -5, -1\/3, 0.8?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2 + 3)*-1. Suppose 0 = -2*w - z*w - 12, -2*d = w - 13. Suppose -3*v = -d*v + 55. Solve -v = -5*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1130279989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 322 + 263 = 0. Let o = -191 - j. Suppose 0 = 3*k - 60. Solve o*u - k = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95874 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442647 divided by 147549.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-5)*n)\/n**(-1\/16))\/(n**(1\/11)\/(n*n\/(n\/(n*n*n\/n**11)))) assuming n is positive.\nAnswer: n**(-1765\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 705952.5 times 0.2\nAnswer: 141190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/o)**35\/(o**(-1)*o)**(-3\/2)*((((o*o\/(o*o**(1\/7))*o)\/o)\/o)\/(o**4\/o))\/((o\/o**(-4))\/(o**5\/o)) assuming o is positive.\nAnswer: o**(-344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1158301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 4, i: 1, q: 2, y: 1, o: 3}. What is prob of sequence ii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -34*x**4 - 6*x**3 - 51*x + 6. Let n(i) = -69*i**4 - 13*i**3 - 103*i + 13. Let p(v) = -13*a(v) + 6*n(v). Find the second derivative of p(y) wrt y.\nAnswer: 336*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -25*w**3 - 5*w**2 + 5*w + 5. Let p(o) = -88*o - 622. Let c be p(-7). Let u(r) = 26*r**3 + 6*r**2 - 6*r - 6. Give c*m(f) - 5*u(f).\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/15 + 2\/10. Suppose -b*z = 3*d + d - 30, 3*z + d - 20 = 0. Suppose 18 = z*w + 3. Solve n - 5 = -5*s, 4*s + w*n - 15 = -0*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190069 and 33.\nAnswer: 570207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/23 (b) -3 (c) -11 (d) 270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*p = -3, 5*p = 4*k + 5 - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 308259600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (5 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**3 + w**3 - w**3 + (0*w - w - w)*(-5*w**2 + w**2 + w**2) - 3*w**3 + 4425*w - 4425*w - 2.\nAnswer: -4*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 19*t - 127 = 2*o, -9*o + 12*o = 3*t + 27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -59 + 122. What is the greatest common divisor of q and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, -1\/9, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -47, 93, 0.2?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 69202952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108246078 to the power of 1\/2, to the nearest integer?\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/19, -103, -12, -28?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15004.4 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/60 - n**5\/20 + n**4\/8 - 5*n**2. Let a(v) = -v**3 - v**2 + v. Determine 6*a(i) - 2*k(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r - 53. Let z be h(7). Let f(y) be the first derivative of -2\/3*y**z + y + 2*y**2 + 4. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -5, 2, 0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4500*u**2 - 937*u + 1. Let k(l) = -2*l. Calculate k(i(z)).\nAnswer: -9000*z**2 + 1874*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/(-25))\/(9\/60). Suppose 0 = 2*d + 5*k - 10, -4*d + k = 8 + b. Let h(z) = z**3 + 11*z**2 + 2*z + 1. Is h(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181+15294796\nAnswer: 15294615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -32*i**5\/45 - 100*i**4\/9 + 206*i**3\/27 - 13*i**2\/9 + 1245. Solve q(f) = 0 for f.\nAnswer: -13, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -1652*k**3 - 64406*k**2 - 61918*k + 836 = 0.\nAnswer: -38, -1, 11\/826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 22*f + 8 = 0. Calculate the remainder when (-2 + 67\/(-2))*f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89050 divided by -1\nAnswer: -89050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -131*m - 1219 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -4*t - 14, -5*p - 4 = 3*t. Let z = 12 + t. What is the greatest common factor of 27 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjjfjfjkkkjfj. What is prob of sequence ff?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4 + 15*f**2 + 4*f - 2.\nAnswer: 60*f**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -4, -5, -532, 4 in decreasing order.\nAnswer: 5, 4, 0, -2, -4, -5, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -2*r**5\/55 - r**4\/11 + 6*r**3\/11 + 18*r**2\/11 + 1276. Find u such that h(u) = 0.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, a: 1, j: 2, n: 4, z: 2}. What is prob of picking 1 j, 1 n, and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85270684?\nAnswer: 2, 1151, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - (-5 - -4) - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 5 = p, 196*p - 2*u + 5 = 199*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 divided by -161?\nAnswer: -2320\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/33 (b) -1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*f = 5, 5*d - 4*f = -0*d + 7. Suppose -n - d*s + 42 = 1, -2*s - 56 = -n. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**39)\/d*((d*d\/d**(3\/11))\/d)\/d)**(-42) assuming d is positive.\nAnswer: d**(17682\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-25)\/(c**(-1\/5)\/c)**27 assuming c is positive.\nAnswer: c**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 + -10 - -3) - (-1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -16, 1287998 in descending order.\nAnswer: 1287998, 5, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 162 - 52 = 0. Let d = 21 + i. Which is the third smallest value? (a) 0.1 (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.24406 to 1 dp.\nAnswer: -72.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -3. Let c = 0 - v. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1011010?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3357\/11 - 305. Suppose -3*x = 4*p - 19 - 1, 5*x = p + 18. What is the third smallest value in x, s, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18651, 37352, 56053, 74754, 93455?\n\"Answer: 18701*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - z - 14 = 14*y, -12 = 2*z. What is q in -3*q**y - 69\/7*q - 18\/7 = 0?\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205934619 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 + 44*l**4 + 132*l**3 + 148*l**2 + 56*l.\nAnswer: 4*l*(l + 1)**2*(l + 2)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.5348835 rounded to 2 decimal places?\nAnswer: -32.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1746459694?\nAnswer: -1746459689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179.8 + 179.8009854. Let o = i + -0.001. What is o rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 + 1.7. Let z be 2 - ((-572)\/(-24))\/11. What is the second smallest value in a, z, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -380, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 + k - 6. Let z be s(0). Let x = z - -8. Suppose 5*c - 13 = 4*n, x*c - 4 = 2*n - 0*n. Solve -5*q - v = -5, 5*q - q = -c*v - 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 7884813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (67\/22 - (6 + -3))*-4. Sort 5, 0.5, -0.1, c in ascending order.\nAnswer: c, -0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -941093+-534\nAnswer: -941627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -796.696682 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/11 or 3\/442?\nAnswer: 3\/442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 6, x: 1}. Give prob of sequence px.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 32564\/603. Let d = -13126 - -13125. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose -18*d = 14*d - 4032. List the prime factors of d\/n*(-28)\/(-21).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 35*y**2. Let u(v) = 206*v - 6. Let c(x) = 370*x - 11. Let r(g) = 6*c(g) - 11*u(g). What is r(k(f))?\nAnswer: -1610*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 7600?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/5 - 903*w**2\/5 + 204303*w\/5 - 203401\/5 = 0 for w.\nAnswer: 1, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*x + 22, 4*r + 10 = -3*x - 4. Let s be (-22)\/x - (-8)\/24. Suppose s*y - 111 = y. Calculate the remainder when y is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.506 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(588)*-3).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 4*h. Let i(d) be the first derivative of -4*d**3\/3 + 5*d**2\/2 - 335. What is 5*f(o) - 4*i(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 0 + (0 - -3). Suppose 0 = -5*g + u + 9. Suppose 11 = 9*b + 11. Solve -5*v - 10 = 0, q - g*q + 2*v + 8 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:21 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a + 41*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*d**6 - 67*d**5 - 11*d**3 - 8*d**2 + 3736*d + 6.\nAnswer: -25560*d**3 - 4020*d**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 16*n = 0. Is n < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22) + (-24)\/(-11). Let z(c) = 1 - c**q + 6*c + 3 - 5. What is z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybqyysbbcyccbysyq. Give prob of sequence yc.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/5 (b) 2 (c) 5 (d) 4 (e) -3 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54284357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 122. Let m = 53 - d. Let q = 15.5 - m. What is the closest to 0 in q, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 13. Let q = 23 - 12. Let j be m(q). What is h in 2\/3*h**j + 0 - 2\/3*h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 - 11*d + 2. Let i(c) = c + 6. What is i(y(s))?\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a = -14. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320 - 104. Suppose -11*j = -7*j - h. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14135450, 14135460, 14135470?\nAnswer: 14135480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/31, 6, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6845 = 5*m - 9*z + 6*z, 2*z = -10. Let o be m\/11 + 3\/(132\/(-8)). Suppose 4*a = s + 95, 5*a - 2*s - s = o. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 121*a**2 - 135*a**2 + 2 - 2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 6*u**2 + 9*u - 5. Let l = -7 - -1. Let j(z) = -z + 1. Let c be j(l). Let t be d(c). Calculate the greatest common divisor of 36 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 0*o = o - p*r - 58, -r = o - 40. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -376 (c) 2\/3 (d) 0 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95391*f**2 + 245166 with respect to f.\nAnswer: 190782*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 4229436828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.0761 to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-four fifths of a microsecond?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347 by -80.\nAnswer: 347\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 5*f**7\/126 - f**5\/12 + f. Factor m(s).\nAnswer: 5*s**3*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (1 + sqrt(847))**2 - (sqrt(7) + 1*sqrt(7) + sqrt(7))*-5.\nAnswer: -848 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.71732 centuries to millennia.\nAnswer: 3.571732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/5)\/((-420)\/(-1050))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:23 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35882825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/63)\/4)\/((-18888)\/(-56664))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = -6*w, -2514*c - 4*w - 5 - 11 = -2510*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 11*x**6\/30 + 13*x**3\/6 + 6*x. Find the second derivative of c(l) wrt l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459301*l**3 + 9*l**2 + 6926?\nAnswer: -2755806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 times -8620.907?\nAnswer: -38794.0815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2484*c**3 + 857*c**3 - 1145*c**3 + 1874*c**3.\nAnswer: 4070*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 8 - 16. Let n(r) = r - 2. Let g(c) = -c + 1. Let z(i) = 6*g(i) + 5*n(i). Let v be z(q). Solve v = -3*t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11d + -83?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -138115 and -138131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19852720 divided by 134140\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -0.2, 660, -57\/2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67178, 67236, 67334, 67472, 67650?\n\"Answer: 20*m**2 - 2*m + 67160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52997136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13612.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by 3.\nAnswer: -82\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Suppose 5*f + 3*a - 76 = 4*a, -w*f = -3*a - 20. Suppose -f = -p - p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3, -51, -6\/11 in descending order.\nAnswer: 2, 0, -6\/11, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*x**3 - 15*x + 15*x.\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*m + 1236 = 1221, -4*k + 5*m + 57 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 7*h + 36 - 13, 2*h - 2*t = -18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - 2007652?\nAnswer: -2007746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51571, -51582, -51603, -51640, -51699, -51786?\nAnswer: -51907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 7. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1280 and 77\/15?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - n + n + 32 - 32 + 6*n + (0*n - 2*n + 4*n)*(2 + 0 + 0) + (-2 - 1 + 1)*(0*n + 2*n - 3*n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let q = -8 + 4. Let w = g + q. Which is the third smallest value? (a) -0.3 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 1. Suppose 10 + 20 = -4*c - 2*a, -10 = c + 3*a. Let w be x(c). Let t = 39 - w. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*m + 3. Let n be (m\/1)\/(2\/12). Suppose 2*w - 24 = -n. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -102. Let g = x - 44. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 16*x\/3 + 88\/9.\nAnswer: 2*(x - 22)*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 - 32\/((-128)\/(-16))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*((-2)\/1)\/((-38)\/4579)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in -0.1, -5, -0.0653, 1, -5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99001?\nAnswer: 7, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484\/1645 - 2\/235. Let i = -117.285 - -0.285. Let q = 117.4 + i. Which is the nearest to l? (a) -0.2 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-19))\/(3398\/32281)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*-4*4)\/(-3*sqrt(40)\/sqrt(5) + (-2*sqrt(80))\/sqrt(10)) + 3)**2*3.\nAnswer: 1152*sqrt(2)\/5 + 25251\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 10*w**2 + w - 11. Let k be i(11). Find the first derivative of -1 - k*h**2 + 98*h**2 + 8 wrt h.\nAnswer: -46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, 900\/17, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 1. Let s be p(1). Suppose -q + 7 = 3*c + 16, s = -5*q + 4*c + 31. Suppose -65*w + 67*w = 4. Solve -v = w*j + 2*j + 1, 3*j + q*v - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeennneeeennnn. Give prob of sequence nnee.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2951, -5908, -8873, -11852, -14851?\n\"Answer: -l**3 + 2*l**2 - 2956*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*f + 291*f + 2521*f.\nAnswer: 5431*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -10. Suppose z*r = 2*r - 1. Let a(x) = 6*x - 1. What is a(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9307902262 - 0.3?\nAnswer: 9307902261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4470*u**2 + 750*u + 2.\nAnswer: -8940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 10*c + 11. Let q(y) = 3*y**2 - 11*y + 12. Let r(g) = -3*q(g) + 4*v(g). Is 2 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/8 - 255*q**3\/8 - 1809*q**2 + 58357*q\/2 = 0. Calculate q.\nAnswer: -134, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 308*s - 1 + 297*s + 1 - 1 - 1 + 10*s**4 to w + o*s**3 + p*s**2 + r*s + m*s**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 123 (b) 2\/11 (c) 4 (d) -660 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459295 is divided by 3268.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2664962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 202 and 3?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let k be (6\/2)\/(d + -3). Let l(c) be the first derivative of c**4\/4 + c**3 + 3*c - 4. What is l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.1, -121, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.093 + -72.093. Let u = r + 73.11. Let p = u + -1.109929. What is p rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -2, -857, 2, -1, 4 in ascending order.\nAnswer: -857, -12, -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(-45)*(-5)\/3. Let p(l) = 23*l - 1. What is p(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = -2*k, -3*o + 5*k + 32386 = 0. Suppose -3*d - 4*m = -6481, 5*d + 4*m = m + o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 932 or 43793\/47?\nAnswer: 43793\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 155 + 315562?\nAnswer: 315737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let c be 128\/12 - 2\/3. Let g = c - d. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -85. Sort -1, 2, 0, i in descending order.\nAnswer: 2, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19804668*w**2 + 6272523*w + 3 wrt w?\nAnswer: 39609336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/169 - (-15125767)\/468. Let m = a - 32316. What is the common denominator of -19\/14 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(208) + 4))*-3*3)**2 + ((sqrt(104)\/sqrt(288))**2 - sqrt(637)*5).\nAnswer: 1909*sqrt(13) + 387841\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1569\/(-2070) - (-20)\/30 and -2\/69?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 - 6*z**5 + 23*z**5 + (-2 + 3 - 2)*(-2*z**5 + 0*z**4 + 0*z**4) + (-2*z**3 + 2*z**3 + 2*z**4)*(-2*z + 5*z - 4*z).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 440*c**2 - 9455*c - 9900.\nAnswer: -5*(c - 45)*(c - 44)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3482*v**3 + 3102*v**2 wrt v.\nAnswer: 20892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124984227.\nAnswer: 3, 41661409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*v + 45, -4*v + v = 15. Let u = o - -13. Let l(y) = -y**2 + 15. What are the prime factors of l(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let i be a(-8). Let h(l) = -l**3 + 9*l**2 + 3. Let k be h(i). Suppose k*t - 6 = 3. Solve -4*g = -0*g + 5*w - 11, -t*g = w - 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -70, 68*a - 71*a + 0*p + 2*p + 88 + 15 = 0 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**5 - 720999*g**4 + 257*g**2 + 7513 wrt g?\nAnswer: 180*g**2 - 17303976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.5 (b) -4 (c) -5 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1746)\/(-24))\/(2\/(-8)). Let k be r\/(-27) - 2\/(-9). Solve -7 = 4*z - 5*z - 2*n, -5*z + k = 2*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.106? (a) -10 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34556 - -34557. Let j(g) = 3*g**3 + 3*g**2 - 7*g + 5. Calculate j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9263 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:01 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 8*b**2 + 16*b - 23. Let a be s(7). Let f = 1550 - a. What are the prime factors of (5\/(30\/f))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/217 + (-19)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -10\/45961183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.653us in nanoseconds?\nAnswer: 118653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250169879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (0 - 0\/1). Suppose -12 = -c*h + h. Suppose -2*z - 4*b = h + 4, 5*z + 4*b + 1 = 0. Solve -o = -0 + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*r + 194252, -9*r + 11*r - 3*n - 77711 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -562 + 567. Let y(a) = -2*a**2 - 5*a + 3. Let x(w) = w - 1. Determine p*x(g) + y(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 114. Suppose 4*a = v*i - 906, 3*i - a = -0*i + 1379. Is i a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.3994ug to grams.\nAnswer: 0.0002853994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3272745228?\nAnswer: 2, 3, 107, 131, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1316, 2633, 3950?\nAnswer: 5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*x**3 + 60*x**3 - 5*x**3)*(-5*x**2 + 3*x**2 + 3*x**2).\nAnswer: 163*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 21. Let v be y(8). Sort -2, 1, -1, v.\nAnswer: v, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 11. Suppose -5*i - q + 182 = 0. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1397*d**2 - 41*d - 125. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let t(v) be the second derivative of -283*v**4\/12 - 27*v - 23. Calculate f(t(z)).\nAnswer: 283*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from esgyrywryyyerrs.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 - 4*o**2)*(78 - 129 + 52 - 67*o - 57*o).\nAnswer: 744*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (-57 - -17) - (2 + -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 563400 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1523\/276 - -286\/23. Calculate the common denominator of k and -2 + (-1)\/(4\/(-42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by (-20)\/(-130) - 518\/(-13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.7675 + -830925.\nAnswer: -830941.7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**5 - 584*g**4 + 190*g**3 + 388*g**2 = 0. What is g?\nAnswer: -2\/3, 0, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804*w + 5345 - 115389 = 0 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 + 7565*d**3\/6 + 276353*d**2\/3 + 793147*d\/6 - 225570 = 0 for d.\nAnswer: -3708, -73, -5\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -72, -10, 3\/4?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 151 = 159, -5*s - 95 = -5*c. Calculate the smallest common multiple of 13614 and c.\nAnswer: 68070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-6))\/((i*i**(1\/4))\/i*i)*i**4\/i*i**(1\/3)\/i assuming i is positive.\nAnswer: i**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}