diff --git "a/data/dm_maths/full_data_2/1676_11255.jsonl" "b/data/dm_maths/full_data_2/1676_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1676_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(w) = w**2 - 6*w + 4. Let h be m(6). Suppose 0 = -h*k + 44419 + 744561. Suppose -k = 3*j + 90755. What is j rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -22 - (-17172)\/159?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 205030311 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -3\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78346019?\nAnswer: 78346019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 22*c - 19. Let s be o(-23). Suppose -5*b + 335 = -5*n, 3*b - s*n + 3*n - 193 = 0. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -0.02. Which is the biggest value? (a) 0 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2. Let q(m) be the third derivative of 0*m + 46*m**2 + 0 - 1\/6*m**4 + 0*m**3. Determine r(q(k)).\nAnswer: 416*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1293004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 2*q**2 - 2*q**2)*(-4*q - 3*q + 6*q) - 22*q**3 + 25 - 25.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 16, 8, -2, -4, 5 in descending order.\nAnswer: 78, 16, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*m - 227*m - 496 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-387)\/162 - 116\/(-522)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 982 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 92 = -0*m. Suppose 0 = -4*f + 21 + m. Suppose -f = 4*g - 5*g. What is the highest common divisor of 88 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 10, 17, 9.\nAnswer: 1, 4, 9, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*t**2 + 3*t - 5*t + 151*t**2 + (0*t**2 + t**2 - 3*t**2)*(-5 + 1 - 13).\nAnswer: 140*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 4*f + 4. Let b(u) = -2*u**2 + 3*u - 3. Let t(n) = -4*b(n) - 3*o(n). Let p(q) = 16*q**2. What is t(p(k))?\nAnswer: 512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4969 = 627*i - 10079 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**2 + 66*s + 603. What are the prime factors of k(-15)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 6*i - 1. Let g be n(-5). Let v = g - 12. Let z = v - -10. Solve -z*c = -l + 5, 0*c + 5*c = 4*l - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 10*m + 23. Let i be l(-6). Suppose 3*t = 2*t - 15. Let a = i + t. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 21*w**2 - 29*w - 36. Let o be z(-19). Let f = o - -787. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67 and 17111?\nAnswer: 1146437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -5*l + 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34254 is divided by 926.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*t - 9. Suppose -3*b - 3*z + 2 = t, 5*b = -z + 10. Suppose -b*x - 1564 = -7*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 - 242*m**4 - 5042*m**3 + 5282*m**2 = 0. What is m?\nAnswer: -19, 0, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-3 + -4)) + -45 + (22 - 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8016, 32319, 72846, 129615, 202644, 291951?\n\"Answer: 3*d**3 + 8094*d**2 - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v**3 + 0*v**2 + v**3)*(2 + v - 2 + (-3*v - 2*v + 6*v)*(3 - 3 - 1) + 14*v + 13*v - 20*v).\nAnswer: -7*v**4 + 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert e5d (base 15) to base 2.\nAnswer: 110010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - ((-25 - -30) + 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 - 4 = -3*v. Sort -13\/3, v, 1, -186 in descending order.\nAnswer: v, 1, -13\/3, -186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001637 rounded to 6 dps?\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (219\/(-438))\/(6\/18*(-40)\/(-5))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -156645972 divided by -4\nAnswer: 39161493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*b - 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662 = 32*g - 139*g - 1264 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 + 15*m**2 - 135*m\/4 - 1215\/2.\nAnswer: 5*(m - 6)*(m + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*o + 2*y + 35, -2*y = 4. Let f be ((-32)\/o)\/(2\/(-5)). Let h be (-1 - 0)\/(f\/4). What is the biggest value in -5, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a. Let p be y(-1). Let s = p + -4. Suppose -48 = -4*w - m, 4*w - 4*m = s*w + 42. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518 - -1186. What are the prime factors of s?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*n**2 - 37*n**2 + 93*n**3 - 94*n**3 + 276*n to the form s*n + d*n**2 + t*n**3 + j and give s.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.588 - 0.012. Let f = o - 0.4. Is f not equal to 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {q: 1, x: 5, p: 3, a: 1, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7610864 litres to millilitres.\nAnswer: 761.0864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 2:19 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 310697 and 4.\nAnswer: 310701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/19)*i*(i\/(i*i**1\/i))\/i)**33 assuming i is positive.\nAnswer: i**(-198\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 64570 = -3*z + 7*z, -3*b + 6 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70444, 1, 0, -12 in descending order.\nAnswer: 70444, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i*i**3*i*i)*i*i)\/i*(i\/(i\/i**(-19))*i)\/i)**35)**(2\/31) assuming i is positive.\nAnswer: i**(-1610\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 9, 58, 147, 288, 493, 774, 1143?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 144*s**2 - 7*s + 1. Suppose 0 = 2*h + 2*h - 5*w + 30, 4*h + 2*w + 16 = 0. Let d be a(h). Let i = -1636 + d. What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30682.6 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 53*d + 13*d + 20*d + 20*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 6. Let s be b(4). Let a(p) = -3*p + 2. Let u be a(7). Let v = s - u. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8104958 + -8.\nAnswer: 8104950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Suppose 2*m - 2*p = p, 0 = 2*p. Let w be (m\/1)\/(2 + f). Put w, -2, -5 in ascending order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195236781*b**2*m**3 + 1264316*b**2*m**2 + 47*b**2 wrt m.\nAnswer: 1171420686*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-8))\/((-32097)\/(-14814))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/(-4)*(-20)\/(-15). Suppose 50 = 2*c - b. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6366 - 4016. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/17)*s))\/s**(-2\/7))**(-14) assuming s is positive.\nAnswer: s**(142\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2072 - -2080. Suppose d - 2 = -0. Put d, -5, x in descending order.\nAnswer: x, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 4 + 28*b + 13*b.\nAnswer: 46*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 2*o**3\/3 - 26*o**2 + 967*o. Let g(x) = 2*x. Calculate d(g(p)).\nAnswer: 8*p - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/1 + 3 + 0\/17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, -848, -2608, -5088, -8288, -12208?\nAnswer: -16848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32\/189 + 125\/378. Determine u so that -3\/2*u**3 + 0 - 3\/2*u**2 - k*u - 1\/2*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 119\nAnswer: 83.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 836 and 128440.\nAnswer: 1412840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (27 - 29)) + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204167 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -103071, -103069, -103067, -103065, -103063, -103061?\n\"Answer: 2*b - 103073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 246. Let g(o) = -6*o + 574. Let q(k) = -7*b(k) - 3*g(k). Suppose -u = 4*u - 20. Suppose -5*h + 26 = -u*y + 3*y, 0 = 5*h - 25. Give q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oniooifooiooi. What is prob of sequence oof?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from gagaaaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19653, -78599, -176843, -314385?\n\"Answer: -19649*l**2 + l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7106.051 centuries?\nAnswer: 71060.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(80) - (sqrt(80) - (sqrt(80) + 1 + sqrt(80)))*-3) + 5 + (-5 + sqrt(80) + sqrt(80)*-1)*6*-2)**2*-2.\nAnswer: -9128 - 2976*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43268655.999986 - 43268597. Let q = 59 - w. What is q rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/13)\/g)\/(g\/(g**(-2\/29)\/g)) assuming g is positive.\nAnswer: g**(-1041\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225390311 or -225390312?\nAnswer: -225390312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4*(-3 + (-35)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/15)\/(-8) - 22\/(-10). Suppose k*r - 16 = -2*y, -14 = r - 5*y + 2. Solve -l + 3*n - 11 = 0, 5*l + 35 = r*n + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/7 + 963*z**3 - 55005*z**2\/7 - 285219*z - 1934790\/7 = 0. What is z?\nAnswer: -2255, -13, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -2638, -7234, -14006, -22948?\nAnswer: -34054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1376 - 1368. What is the second smallest value in v, 12, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96458 by -48229.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 15*f**2 - 60*f - 15. Let z be h(-7). Suppose -12*o + z*o - 5*k - 1057 = 0, -20 = 4*k. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let g(h) = h - 2. Let p(l) = -3*g(l) + 6*i(l). Let j(m) = -m. What is p(j(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-664)\/1826)\/((-20)\/66)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 31. Suppose 10 = i + 3. Suppose 5*m + i*n - 150 = 2*n, 0 = 3*m - p*n - 58. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -28*p. Let n be v(2). Let q = 133 + n. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36600.413 + -36584. Let r = 16.5 - b. Let l = -0.087 + r. Sort 3, -2\/13, l.\nAnswer: -2\/13, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(1\/14)*(l\/((l*l\/l**(1\/2))\/l))**(-1\/4)*(l**(3\/5)\/l*(l\/(l\/(l\/((l*l**(2\/15)*l*l)\/l))))\/l)\/(l*l\/l**(-4\/5)*l**(-3\/7)\/l) assuming l is positive.\nAnswer: l**(-95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*t + 64803 = 0, 32*u + 38880 = 35*u - 3*t. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 3*u + 27, -2*u = -10. Let n(g) = 11*g + 4. Let b(t) = -6*t - 2. Determine p*n(o) + 7*b(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Suppose -6 = -31*i + 56. Let j(b) = -45*b - 3. Let u(r) = 270*r + 18. Let x(o) = i*u(o) + 13*j(o). Calculate x(k(w)).\nAnswer: 45*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22\/51 - 5363\/255. Let m = 21 + l. Let z = -4.1 + 0.1. Which is the nearest to -0.1? (a) -5 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.21 - -0.21. Let z = y + 4. Suppose 5*f = 3*f + 10. What is the second smallest value in 0.4, f, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*x + 3*x, -2*o + 9 = 3*x. Factor 1\/5*d**2 - 1\/5*d**4 - 2\/5*d + 2\/5*d**o + 0.\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1749 divide 566058775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 74*h - 838. What is b(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*(-250)\/(-875)*-7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 1 + 21. Let s(p) = 8 - 4*p**2 - 7*p - 7*p + o*p. Let v(u) = 2*u**2 + 5*u - 4. Let x(a) = -3*s(a) - 5*v(a). Factor x(d).\nAnswer: 2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 205*w + 7778. Let f be t(39). Calculate the highest common divisor of f and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2457 + 2915 + 3208 - 7545 = -69*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 53406, -0.2, -1327?\nAnswer: 53406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2. Let a(d) = 15*d + 36. Let z(x) = -7*x - 17. Let f(c) = -6*a(c) - 13*z(c). Determine f(w(g)).\nAnswer: -2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171590399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9342523891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89254021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212403 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70464 by -7.\nAnswer: -70464\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let n(y) = 19*y - 3. Calculate 3*b(d) - n(d).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*t = 3*l + 1, 2*l + 2 = 2*t. What is the units digit of (-2)\/(4*l\/38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) + (sqrt(65) - (sqrt(65) + (1*sqrt(65) + sqrt(65))*2)) - sqrt(65)))\/(sqrt(720)*2).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 57, 100, 171, 276, 421?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 + m - 2. Let u be y(7). Suppose z = 5*p + 10, -u*p - 2*z + 0 + 5 = 0. Is p\/3*(-3 + -468) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**2*w**3 - 10*k**2*w**2 + 4*w**3 - 16 wrt w?\nAnswer: 36*k**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.088 - -0.912. Which is the third biggest value? (a) 5 (b) j (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 3. Let o be u(4). Suppose -7 + o = -3*s. Suppose -5*f - 564994 = s*y, 0 = 3*f + 3*y + 2*y + 338985. Round f to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321?\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d. Let m(v) = 10*v + 166 - 166. Give m(y(s)).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2839947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2885)\/250)\/(1\/2) + (-6)\/(-75).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 59 = -2*g, u = 1 - 6. Solve -19*t**3 - 6*t**3 + 53*t**2 + 4*t**4 + g*t**3 - 32*t**3 - 5*t**4 - 27*t = 0.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72725 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-19 + (11 - 6))) + (-16)\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/150 - r**4\/60 + r**2 + 3*r. Let w(d) be the first derivative of t(d). Factor w(s).\nAnswer: -2*s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**3 + 4*n**2 + 3*n + 5. Let p(b) = -9*b**3 + 7*b**2 + 5*b + 9. What is 5*g(s) - 3*p(s)?\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -27. Suppose z*l - 108 = 10*l. Let y = -37 + l. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rooooooo. What is prob of sequence oo?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -14226 and -90.81.\nAnswer: -14316.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 7*h - 6. Let s be y(4). Let b = 13 + s. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31724?\nAnswer: 2, 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12592315.\nAnswer: 5, 67, 37589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/53, -1\/5, -14, -3?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/n*n)**(4\/5)\/(n**(1\/4)\/n**(1\/6)))\/((n*n\/(n\/(n\/(n**(2\/7)*n))))\/(n*(n*n*n**(-4))\/n))**(-24) assuming n is positive.\nAnswer: n**(27409\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 7, b: 1, d: 2, a: 1, z: 8}. Give prob of picking 1 b, 1 r, 1 a, and 1 d.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61597575 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1\/16*d**4 + 27\/8*d**2 + 8*d - 3\/4*d**3 + 0. Find n such that i(n) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22930699607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1849, -2168, -2501, -2854, -3233?\n\"Answer: -j**3 - j**2 - 309*j - 1538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -1036\/5. Suppose 0*o - 4*o = 0. Sort 2\/19, 5, i, o in decreasing order.\nAnswer: 5, i, 2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 8*x**3 + 7*x**3 + 5*x**3 - 2*x**2.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4\/7, -3, -1\/9, -28?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 2205?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 + k + 6. Let o be b(8). Suppose -2*q - 3 = -3*q. Suppose 0 = 5*u - 7 - q. Calculate the highest common factor of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h. Let j be 5 - h - (1 - -1). Let n(f) = 0 - j*f + 0. Let u(y) = 2*y. What is u(n(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8083111 is divided by 11597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 153\/7 (b) -1 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/4 + 4*c**3\/3 - 2*c**2 + 2*c + 1. Let r be o(2). Suppose -f = -5 - r. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - b - 17, 4*o = -0*o - 3*b - 29. What is the tens digit of o*(-10 + 6 - 45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f + 1. Suppose -8 = -6*j + f*j. Let m(y) = -2*y - 4. Let k(p) = 2*p + 3. Determine j*m(t) + 3*k(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1605 - -1605.001614. What is x rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 6 - 16 + 3 - c. Calculate the remainder when r(11) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*i, -2*b + 3*i + 2 + 0 = 0. Let u be (24\/(-54))\/(b\/9). Suppose -u*c + 0*c = 0. Solve 2*x + 3*x - 15 = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**3 - 3*i**2 + 8*i - 7. Let j(l) = 9*l - 3*l**2 - 1 - 14*l**3 + 6*l**3 - 7. Let q(a) = 7*f(a) - 6*j(a). What are the prime factors of q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 11. Let w be z(-6). Solve -4*c = -5*c - w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + x - 1. Let v(z) = 182*z**3 - 6*z**2 - 7*z + 6. Give -6*g(l) - v(l).\nAnswer: -176*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-254 + 251)\/(3\/(-14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101201200201 (base 3) in base 15?\nAnswer: -42891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260.6 + 259.6. Put 5, 50, 1\/2, y in ascending order.\nAnswer: y, 1\/2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 67783011793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71, 141, 241, 377, 555, 781?\n\"Answer: v**3 + 9*v**2 + 36*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 2*q - 5. Let s be (2 - 1)\/(-4) + (-2892)\/(-48). Suppose d + s = 16*d. Give t(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -276*r + 298. Calculate u(4).\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let -16*v**5\/7 + 12*v**4\/7 + 36*v**3\/7 + 8*v**2\/7 = 0. What is v?\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00498153 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/(sqrt(49)\/(-2*sqrt(7) - sqrt(7))))\/(-4*(3*sqrt(36) + sqrt(9))))**2.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 8*w**2 + 10*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*480\/(-32). Suppose h - 238 = -p*u, h - u - 121 - 129 = 0. What is the remainder when h is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135664 is divided by 5323?\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, z: 7, r: 1}. Give prob of sequence ppz.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 242 (b) 2\/11 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/60 + o**3 - 2. Let n(y) be the third derivative of s(y). Let m(a) = 6*a**2. Give m(n(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 111 - 6. Let s be 15 + (1 - 1) + 2. Suppose -4*d - 5*j + s + 26 = 0, -13 = -d + j. Calculate the remainder when l is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, -36 in increasing order.\nAnswer: -36, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t + 23. Let z be n(2). Let v = 36 - 31. Factor 24*o**3 - 2*o**3 + 3 - 4*o**2 + 2*o**z + v - 20*o.\nAnswer: 4*(o + 1)*(2*o - 1)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.6850395 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2 + 16 = 0. Sort 5, -5, 0, r in decreasing order.\nAnswer: 5, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-7)*(1433 + -1440)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 545000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -1\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1087 by 6.\nAnswer: -1087\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 15 = 0. Suppose -2*o + 3*c - 1 = 8, -v*c = 5*o + 35. Let f(h) = h**2 + 5*h - 1. What is the remainder when f(o) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11\/28 + 9\/14. Let m(u) be the second derivative of 0*u**3 + 0 + 0*u**2 + 2*u - a*u**4 + 3\/20*u**5. What is the third derivative of m(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*34.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1156, -1162, -1172, -1186, -1204, -1226?\n\"Answer: -2*n**2 - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 2 = 8*g. Let d = 19 - 17. Let b be -3 + g\/d*-14. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 6:56 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.142*-146.66\nAnswer: -20.82572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -3)\/(0 - 33\/22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-14))\/((-114)\/133))\/((-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 0*w + 6*w)*(-1 + 1 + 2) + 38*w + 5969 - 5969 in the form q*w + r and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/24 - 5*m**4\/8 - 2*m**2. Let g(j) be the second derivative of a(j). Let r(f) = 2*f**2. Determine r(g(d)).\nAnswer: 72*d**2 - 120*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + f + 5 = 4*f, 2*v + 7 = f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 101*u + 23. Let x(p) = 37*p + 8. Let h(t) = 4*m(t) - 11*x(t). Let q(j) = 4*j - 5. Give -5*h(v) - 4*q(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77124 or 981?\nAnswer: 981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*l = -42. Differentiate -14*x + 19*x + l - 6 - 15 with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -10, 1, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g. Suppose 24 = -4*f - 2*s + 6, 1 = -3*f + s. Let w be v(f). Solve 5*q + 15 + 10 = 5*r, 3*r = 2*q + w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5866*r + 4236*r - 12348*r as g*r + l and give g.\nAnswer: -2246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-8)\/(-20)*23. Solve 55 - i = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/6 + h**2\/2 - 2*h\/3 - 2 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.142, -1, 3, -5, -4, -19, -2.\nAnswer: -19, -5, -4, -2, -1, 0.142, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 17266?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Suppose -3*t = 7*z - 3*z - 6, -z - 3 = 3*t. Let u(j) = -z*j + 0*j + 0*j. Give w(u(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103278740 by 25819685.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009877 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5 - 1084*y**4 + 43112*y**3 - 375800*y**2 - 2107500*y - 1687500 = 0.\nAnswer: -3, -1, 25, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 - 240. Let h be (-33)\/44 + (-62)\/(-8). Suppose h = 2*o - 3. Which is the biggest value? (a) t (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 825.8413 centimeters?\nAnswer: 8.258413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66351070 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b853 (base 15) to base 9.\nAnswer: 320746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58\/7, 10, 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(-2*q + 3*q - 3*q) - 1320*q**2 + 65921 - 65921 - 2*q**2 - 3*q**2 + 3*q**2.\nAnswer: -1324*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 - -3.71. Put -0.5, i, 2 in ascending order.\nAnswer: -0.5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.13368 rounded to zero decimal places?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 8*r**2 - 9*r + 12. Suppose -5*y + 15 = -2*y. What are the prime factors of o(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*m + 19, -m + 22 = 5*l - 16. Suppose 2 + l = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16684*y - 7*y**3 - 16684*y.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13184648 is divided by 9118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15836827*l + 5*w - 43 = 15836828*l, -2*w + 151 = -45*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57)\/(-21) - (-4)\/14. Let h be b*(-1)\/(-18)*4. Let n = -0.42 - -0.02. What is the second biggest value in 3, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72154067.\nAnswer: 72154067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**2 - 139*i + 48. Let p be r(9). What is the highest common factor of p and 916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*(6 - (-7 + 11))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**3*f + 473226*c**3 + 11*c**2*f + 79348*c*f wrt c?\nAnswer: 36*f + 2839356","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2\/3*y**2 - 4\/3*y**3 + 2\/3*y - 1\/3*y**4 - 1\/3 + 2\/3*y**5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 564 + -808. Let d = q + 247. What is w in -2\/7*w**2 + 2\/7*w**d + 0 + 0*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774435243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 200?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*l + 1 = -0*k, 3*k = -3*l - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 4*t**3 + t**3 + (5*t - 5*t + 2*t**2)*(-3*t + 3*t + 2*t))*(2*t - 3*t + 3*t) + 0*t**2 - 3*t**4 + 0*t**2 - 9*t**2 - 17*t**2 - 14*t**4 + 27*t**2.\nAnswer: -5*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -9) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*10*2\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 7*p**2 + 2*p - 2. What are the prime factors of i(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45279 by -3.\nAnswer: 15093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*j + 115 = 5*j, 58 = 3*d - j. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/22 (b) 0.2 (c) -17261 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*c - 463*c - 16 = g, 3*g + 32 = 4*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 4. Suppose n = -x*g + 4, g - 3 = 5*n - 6*n. Suppose 3*y - 7*y - 17 = -3*u, -10 = -n*u + 2*y. Solve 2*z + 8 = u*f, 4*z - 4*f = -z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256573\/75 - 3421. Sort m, 7\/5, 5.\nAnswer: m, 7\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 11535.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869474 is divided by 628.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/7 + 398523044*j\/7 - 39705154149756484\/7 = 0.\nAnswer: 199261522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78203539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**3 + 0*i - 5440 + 109*i**2 - 134*i**2 + 5441 - 3*i to the form f*i**2 + v*i**3 + z + l*i and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -4, -7, 0, 1\/3, 5 in descending order.\nAnswer: 5, 1\/3, 0, -4, -7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.70285 + 0.29715. Which is the closest to 7.1? (a) 0 (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206037166.\nAnswer: 2, 43, 241, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98777.\nAnswer: 7, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 20736?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-456)\/(-95) - (36\/(-30))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000117349 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25513483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 19*s + 12. Let y be p(10). Suppose 5*r = z + r - 2, 0 = -y*z + 4*r + 8. Calculate the smallest common multiple of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1473 - -2b65?\nAnswer: 16b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333\/(-740)*5 + 1 + (-171)\/(-108).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3700256 + 4?\nAnswer: 3700262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*12\/(-27) + (-10040)\/(-15). Does 6 divide d*(1 + 21\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boua when four letters picked without replacement from aooubou.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*-2*55\/220.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3081332 by -4.\nAnswer: -770333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22856, -28965, -35074, -41183?\n\"Answer: -6109*j - 16747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -6380\/90679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13323 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 3*w + 37, -2*w = 5*c - 45. What is the greatest common divisor of c and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.71 - 1.01. What is the closest to 1 in -3, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and 377839.\nAnswer: 16247077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 901\/106*-4*-1*2. Suppose j + y = 2*l, -3*l - 5*j + 95 = -3*j. What is the greatest common factor of l and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2129035 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2 + 31*u**2 - 32*u**2 + 183999*u**3 + u + u. Let k be o(-1). What is k rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 12*w - 18 + 19. What is r(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:21 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + -26. Let f = 259 + l. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6899\/1808 - -3\/904. What is the common denominator of 121\/20 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - l - 1. Let t be g(-1). Suppose t = 3*h + 2 + 4, 2*j - 8 = 4*h. Let q be (-4 - 42\/(-9))*3. Put j, -3, q in descending order.\nAnswer: q, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 5*v - 3*v**2 - 17*v + 0*v + 13 - v**2. What are the prime factors of l(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1)\/(-3 + 12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.434 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + w. Let u(z) = 25*z**3 + 15*z**2 - 10*z - 15. Let j(m) = -u(m) - 15*y(m). What is v in j(v) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-20))\/((-18)\/(-45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (120\/(-28))\/(18\/279). Are z and -66 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*i - 3*i + 13, 28 = 3*m - 5*i. Let x(q) = 2*q + 1. Let u be x(m). What is the units digit of u - 3\/(3\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 271 - 563. Is -2*(b\/8 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k - 2. Let m be 39\/(-9) + 3\/9. Let p be j(m). Find y such that -2*y + 0 + 2*y**p + 3\/2*y**3 - 1\/2*y**5 - y**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/15 - 5*y**4\/8 + 25*y**3\/2 - 48*y**2. Differentiate s(x) wrt x.\nAnswer: -8*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88.6 or 2\/29?\nAnswer: 88.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -27734*u - 10. Let k be p(-7). Suppose k = 6*i + 60328. What is i rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 12, r: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let f = -4 - z. Let r be -1 + 3 - (-21)\/(-10). What is the nearest to f in r, -0.4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let q = 2 + -3. Let f be 2\/(-6)*(q - 0). Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 2. Let y be w(5). Let m be ((-10)\/40)\/(1\/(-20)). Suppose 2*k + 2*k + 24 = 2*g, 0 = -g + m*k + 18. Solve -5*d + y = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + 9. Let t = h + 15. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21143*48885.\nAnswer: -1033575555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from {j: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*o**(2\/5)*o)))\/o*o)**(-29))**(-3\/11) assuming o is positive.\nAnswer: o**(1044\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose 6 + x = 2*h. Suppose h*s - 159 - 86 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 2*m**2 + 3*m - 6. Let s be f(3). Let w be (6\/(-15))\/((-4)\/(-5))*s. What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*11\/165)\/(11\/(-3)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9708109 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o + 5\/12*o**4 + 0 + 1\/2*o**3 + 1\/20*o**5 - 3\/2*o**2. Suppose 31 = -4*h + 3*i, 5*i + 38 = -3*h + 51. Calculate y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3905432 rounded to two dps?\nAnswer: -5.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.156 - 185.794. What is a rounded to zero decimal places?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -595 + 594.99265. What is l rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 + 42*h**2 + 6*h. Let u(l) = -8*l**3 + 42*l**2 + 5*l. Let f(i) = 5*o(i) - 6*u(i). What is the third derivative of f(k) wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose -w - 5*p = 22, -k*w + 2*p + p = -24. Let v = w - -14. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*m**6 - 3*m**3 - 2*m**2 - 130.\nAnswer: -3720*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 28102309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 times -4.6?\nAnswer: 1016.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -2*x - 26, 14338*f - 14337*f = 3*x - 26 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.087711 and 0.1?\nAnswer: 0.0087711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:29 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(5 + 6*(3 + 4*(-1 + sqrt(272) + 1))**2).\nAnswer: -78513 - 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0, 0.5, -3, -1\/5, -4.\nAnswer: -4, -3, -1\/5, 0, 0.5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from axbxrnxxbnnxnxjbrx.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161395 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76418\/43 or 1776?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 122*i - 2 + 164*i.\nAnswer: 42*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.4. Let s = -2.99 - 0.01. Let h = s + 4. Is b bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7870266 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-6) - 6704\/352) + -2\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 52. Let u = 13 - r. Suppose u*n - n = -12. Solve 2*y + n = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2))\/sqrt(3) + 1 + 1*sqrt(7).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Let l(k) = 2 + g*k**2 + 5*k**2 - k**3 + k + 2 + 0*k**3. Is l(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - i + 875 = -823, 4*l - 4*i + 1368 = 0. Let x = -80 - l. Calculate the remainder when x is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 610631597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.4 - 9.4. Round k to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*f**5*k - 17*f**2*i**2 + 26*f*i**2 + 2*f + 5*i + 96*k wrt f?\nAnswer: 5060*f**3*k - 34*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1023 + -181.0023. Let q = 23.8 + k. Round q to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 4*w + 17. Let r be v(-5). Let j(u) = 9*u + 12. Let m(y) = -y - 1. Let g(s) = r*m(s) + j(s). Let o(p) = 3*p**2. Give o(g(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from vdvvvddddddvdddd?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100111111000100000001 (base 2) to base 9\nAnswer: 2411630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (96\/8)\/2 - 21. What is the common denominator of 1\/b*(426\/24 + -5) and -187\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574725303, 574725302, 574725301, 574725300, 574725299?\nAnswer: 574725298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82057 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 5*x + 2. Let o = -4 - 2. Let y be i(o). Calculate the common denominator of -109\/42 and (1\/y)\/(44\/536).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*y - 9*y - 3, 0 = -3*d + 5*y + 8. Which is smaller: 1\/34 or d?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*i + 15*i + 0 + 41 with respect to i.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 51, 19, -1 in decreasing order.\nAnswer: 51, 19, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-5534.\nAnswer: -2767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -103\/3. Which is the second smallest value? (a) -2\/5 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3751*s**3 - 6*s - 12. Let n(o) = 25754365*o**3 - 41195*o - 82390. Calculate -82390*g(u) + 12*n(u).\nAnswer: 7490*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 2, z: 1, e: 1}. What is prob of sequence egg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by 32029.\nAnswer: -326\/32029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1943909902026.90489963 - 1943711275282.4049. Let l = g + -198626717.5. Let m = -27 + l. What is m rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 21, -4 in decreasing order.\nAnswer: 21, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 10:56 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2210*k**2 - 2*k**3 + 0*k**3 - 2210*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 11*p - 9*p - 4*k, 2*p - 1 = -k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251607235.\nAnswer: 5, 11, 23, 198899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y**4\/y)\/y*y*y)\/(y\/(y*y**13)*y*y)*y\/y**(-4)*y**(1\/13) assuming y is positive.\nAnswer: y**(287\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-120 + 40 - 133)*((-5 + 2 + 2)*(2*u - 2*u - u) - 2 + 2*u + 2) as p*u + k and give p.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 42 = -4*f. Let r be 8\/2 + f - -2. Sort 6, 5, r in descending order.\nAnswer: 6, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 6. Let q be (0 + (-8)\/3)*-3. Let t = q - 3. Is 16 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*u + 29, g - 15 = -5*u + 42. Let m(r) = -r**3 + 12*r**2 - 13*r + 26. Let b be m(u). Sort 8, 1, b.\nAnswer: 1, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 6. Determine u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 11. Let d be c(3). Suppose d*j - 94 - 144 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45)*-3)\/((-1)\/(245\/(-1127))).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -376 - -260. Let z be 15\/(g\/32 - -4). Let d = 72 - z. Solve 4*k - d = 5*f, -1 = k - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 146619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88105 - 361234 + 117202 = -4551*y + 191228 for y.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4651640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -302387.43 from 1.\nAnswer: 302388.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 0 + -2 + -24. Let r = s + 48. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 1\/24*y**4 + 1\/120*y**6 - 3*y**2 - 1\/60*y**5 + 7\/3*y**3 + 0*y + 0. Does 14 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, a: 1, y: 1, i: 1, p: 2}. What is prob of picking 2 i, 1 p, and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b570 - 8?\nAnswer: 4b564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -226*v**3 + 15*v**2 + 3*v - 2. Does 10 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5 - -5) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 35 = -6*t + 38, -3*y + 3*t = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/6*(0 - 2). Sort 3, l, -1 in increasing order.\nAnswer: l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13710 divided by -2742?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 - 3783*a**3 + 3*a**2 + 43*a**2.\nAnswer: -3783*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1)*(2 + 1 + -4). Let g = 1 - 1. Let w = -1 + g. What is the third biggest value in w, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.5. Which is the nearest to 2\/3? (a) -1\/3 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/3 + 19138526*k**4 + 229662332*k**3\/3 + 344493508*k**2\/3 + 76554114*k + 57415586\/3.\nAnswer: -2*(k - 28707793)*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1173 - -800. Let x = 374.53 + w. Round x to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -686*j*r**2 - 4*j + r**2 + 34*r - 8 wrt j?\nAnswer: -686*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**5 - 3*d**4 + 25*d**3 - 14*d**2 + 11*d. Let l(o) = -o**5 - o**4 - o**3 - o. Let t(y) = -2*k(y) - 14*l(y). Let t(f) = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - 20. Let s = 131.8 + h. Which is the fourth smallest value? (a) s (b) -0.4 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*u - 3 + (1784 + 33*u - 3569 + 1790)*(4 - 3 + 1)*(-3 + 4 + 1) as o + r*u and give r.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**3\/3 + 3*a**2 - 18*a - 23. Let f be m(-8). Let x be f + 3*24\/9. Solve 0 = g - 5*g - 16, -o + g + x = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -4*p - 2*f, f + 3 = 4. Let x(s) = -s + 2. Let c be x(-1). Suppose c*i = 6*i - p. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**4 + 1590*x - 5695?\nAnswer: 4*x**3 + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -5, 1036 in increasing order.\nAnswer: -6, -5, -1, 1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 6*c**2 - 5*c**3 + (4*c - 4*c - c**2)*(-2*c + 0*c - 6*c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52744837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1165062 (base 7) to base 13\nAnswer: 53733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)\/sqrt(7))**2 + 3 + ((sqrt(117) - sqrt(13))*-6)**2 + 2.\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -4\/44555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1\/7, -11 in descending order.\nAnswer: 2, 1\/7, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 21*r - 16*r - 8*r + 50*r + 4*r - 12*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10 - 576\/1120\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 5*m, -m + 8 = -o + 11. Solve 2*f + 0 = o, -2*f + 23 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:00 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13602 divided by 1\nAnswer: 13602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398772139.\nAnswer: 3, 1583, 505111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1995 = 8*z - 113*z. Calculate the highest common divisor of z and 2299.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58130419 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Suppose -y + 4*t - 3 = 0, t = -2*y - i*t + 30. Suppose -r - 96 = -5*r. What is the remainder when r is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.3 (c) -0.4 (d) -12 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**4\/24 + 5*f**3\/6 - 85*f**2. Let z(n) = n + 6. What is -4*x(q) + 3*z(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1096 + 1095.98565. Round m to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -6701.\nAnswer: 13402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 8:01 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 602606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 21*n**2 - 735*n - 8575.\nAnswer: -(n + 35)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -41*j + 454. What is the remainder when 159 is divided by c(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(18\/3))\/((-5)\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = 0. Suppose -u - 5*t = -4*u - 16, 2*u - 2*t = -4. Let k = -0.6 + 0.1. Which is the closest to 1? (a) u (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/1551 and -55\/564.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 105315 divided by -305?\nAnswer: -21063\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((4 - 9) + 15 + -54)) + -10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let g = 43 - 8. Solve -5*n - 5*c = 0, -6*c - g = -4*n - 3*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-4 + -1) - 5. Let u(f) = -4*f. Let q(d) = 4*d**2 - d**2 - 2*d - 1 - 2*d**2. Let i be q(-5). Let a(z) = -23*z. Give h*a(l) + i*u(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 6 - (-3 + (5 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*c + 1, -4 = 5*c + 8*y - 4*y. Suppose -33*p + 100 + 65 = c. Solve -41\/5*m**3 + 16\/5*m + p*m**5 + m**4 - 1\/5*m**2 - 4\/5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62158.\nAnswer: 2, 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1265440 and 127\/9680?\nAnswer: 13919840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**4 - 36*h**3 + 127*h**2 - 74*h + 5. Let j(f) = -10*f**4 - 54*f**3 + 190*f**2 - 112*f + 7. Let o(u) = 5*j(u) - 7*x(u). Factor o(w).\nAnswer: -w*(w - 2)*(w - 1)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76) + -1 + 2)**2.\nAnswer: -231 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 - 5*z**2 + 37*z\/2 - 13.\nAnswer: -(z - 2)*(z - 1)*(z + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:06 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmqm. What is prob of sequence mm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2)*2 + (sqrt(18)\/sqrt(81))**2.\nAnswer: -2*sqrt(2) + 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(((-2079)\/(-528))\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -355 + 359. Solve 0*n + 2 = 2*n, y*b + 5*n = 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*(-5)\/10)\/((-2)\/104). Let h = -19 + q. Suppose -n + 5*t + 37 = 0, 0 = -0*n + 3*n - 2*t - h. Calculate the greatest common factor of 54 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*s - 2. Suppose m - 4*d + 2*d = -7, 5*m = -2*d + s. Suppose 0 = -m*n + 74 + 76. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(1\/2)\/g)\/g))**(-1\/6))**49 assuming g is positive.\nAnswer: g**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -510021850 rounded to the nearest 1000000?\nAnswer: -510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + (-3540)\/(-26) + (-6)\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 139*v**8\/84 + v**5\/60 + v**4\/6 - 20*v**3\/3 - 317*v**2 + 6*v. Find the third derivative of t(z) wrt z.\nAnswer: 33360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 10*d**2 + 7*d + 3. Determine t(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 106?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((3\/(-18))\/(-1)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m + 31 = -3*n, -5*m = n + 27. What is the tens digit of (2 + -1)\/(n\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5749799.\nAnswer: 11, 19, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (4 + -2))*1\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + (sqrt(144) - (1*sqrt(144) + sqrt(144))) + sqrt(144))\/sqrt(3)*-4)**2 + -2 + ((sqrt(27) + sqrt(54)\/(sqrt(2)*-1))\/sqrt(9))**2 + 4.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 124 = 34. Suppose v*x - 6*x = -569826. Is x\/(-26) + 26\/(-169) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from zddydkt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 - 13900*v**3 - 350985*v**2 + 991980*v + 49985100 = 0 for v.\nAnswer: -18, 11, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 - -4.05. What is the fourth smallest value in 3, 0, o, -2\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 646 - 365?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1309)\/(-165) - 2\/(-30) - (5 - 2). Solve 4*n + 25 = k*w, 0*n = -n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 12. What is h(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:33 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1970 or -17728\/9?\nAnswer: -1970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/15 (b) -3\/7 (c) -1\/4 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460048 is divided by 175.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, m: 2, y: 7, e: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 20*b + 5364. Suppose 5*s - b - 637 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*n**2 - 325*n**2 + 605*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7853307 rounded to the nearest 10000?\nAnswer: 7850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17515302 less than -54?\nAnswer: -17515356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*i + 71, 4*i - 88 = 2*s + 4. Let n = s - -60. Suppose -16*t + n*t = -24. Solve 0 = t*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51470.36 to the nearest one hundred.\nAnswer: 51500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1849 + 2167. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eded when four letters picked without replacement from edeeeeeeeed?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547 - 119. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1173\/932 + -2\/233. Let c = 3 + -2.9. What is the nearest to -2 in -1, b, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 + 28*r + 8 - 10 + 2 wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2691 divided by 132066\nAnswer: 13\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*z**3 - 12*z**2 - 738*z**3 + 9*z**2.\nAnswer: 21*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 134. Suppose -b*s - 2*h = 2*h, 5*s = h - 12. What is the hundreds digit of (3 - (-5)\/s) + 339\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (130\/104)\/(5\/(-20)). Let j(c) = 41*c + 211. Calculate j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 + 1\/6*i**5 - 1\/2*i**4 + 0 + 1\/6*i**3 - 1\/3*i.\nAnswer: i*(i - 2)*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3421*q + 1330 = -3351*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 - 981*d**4 - 10386*d**3 + 13344*d**2 + 22752*d = 0. What is d?\nAnswer: -316, -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -5*((-215)\/(-50) - 5))*2. Suppose h - 29 = -2*j + j, -5*h = 3*j - 89. What is the greatest common divisor of o and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/833 + (-26)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118201913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5 = 5*x, 0 = 3*x + 5*r + 5 - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1524 - 975. Suppose -7*b + k = 122. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 16. Suppose 2*j - 1380 = a*x, 0 = j + x + 2*x - 715. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52161625469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3.46, -13 in decreasing order.\nAnswer: 3.46, 0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -g - 4*k + 6, -5*k + 42 = 3*g. Solve -4*t = -g*t - 2*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 {y: 2, t: 1, f: 2}. What is prob of sequence ffyy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/7)\/t))**(1\/10)\/(t**(5\/3)*t*t**(-3)))\/((t*t*t**(-5))\/t*t**(-7)*(t**(-2\/9))**38) assuming t is positive.\nAnswer: t**(6302\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 10:51 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 9*q - 6. Let a be u(-6). Let k be (22\/a)\/((-3)\/(-18)). What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*x + 1. Suppose -358 = -4*s + 3*y, -y - x = -6. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17490.2 years?\nAnswer: 209882.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5671680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzdzzzrdz. What is prob of picking 1 z and 1 d?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 4*c - 2*c, -n + 5 = -c. Find the second derivative of -13*b**5 + 3*b + 7*b**5 + 26*b**n + 1 + 21*b**5 + 4 wrt b.\nAnswer: 820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 129 = -5*i, 28*b + 738*i - 31 = 737*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26337*g + 2*g**2 + 26337*g + 24*g**3.\nAnswer: 24*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -325662.09 to the nearest 1000.\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3*g**2 + 0*g**2 - 3*g**2. Let d(l) = 4*l. Let t(y) = 5*y. Let x(p) = 6*d(p) - 5*t(p). Determine o(x(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001264 rounded to 7 decimal places?\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*b - 18*b + 1380 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19720670 and 3830.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 384395.9nm?\nAnswer: 0.0003843959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3727636 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9469624 + -26581234146\/2807. Let c = -3\/401 + k. Find i, given that 1\/7*i**2 - c*i**4 - 5\/7*i**3 + 5\/7*i + 0 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 48 = 2*u + 4, 66 = 3*u + 4*l. Let t = -5 - -5. Suppose -2*c + 2*b = -c - 4, c - b - 6 = t. Calculate the remainder when u is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -28113*c**2 + 7*c - 4. Let n = 76 + -73. Let u be g(n). Round u to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3326*z + 3328*z - 6659*z + 20)*(z**3 + 1 - 1).\nAnswer: -5*z**4 + 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.028 - -68.972. Let n = h - 70. Let j = 0.07 + -0.37. Which is the third biggest value? (a) j (b) 0.04 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*h**3)*(18853*h - 645 - 18851*h + 71) as s*h + t*h**4 + g*h**2 + y*h**3 + u and give y.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.15 (b) 2 (c) -0.07 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 6, 2.\nAnswer: -6, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 125 (c) -17 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/153 + 152\/765. Let p be 0 - (1 - (-5)\/(-2)). What is the third biggest value in 2\/9, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 12\/61, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -17. Let j be (-4)\/10 - (-26)\/(-10). Let a = p + j. Calculate the smallest common multiple of 1 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 9*y**2 + 10*y + 21. Give h(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f + 51*f - 8037 = -35*f for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 8, -120 in decreasing order.\nAnswer: 8, 3, -1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 160 = 23*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 601 = -4*q - 555, 557 = -2*q + 5*m. Let h = q - -297. What is the least common multiple of h and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/9)\/7)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 14. Let n(j) = -j**2 - 7*j + 3. Let p be n(-2). Give q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28602 (base 10) to base 6\nAnswer: 340230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 655 + 31 = 0. Suppose i - 104 = -2*s. What is the remainder when 50 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22053535 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30164, 63241, 96318?\n\"Answer: 33077*z - 2913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 - 6200*q**3\/11 + 4805000*q**2\/11.\nAnswer: 2*q**2*(q - 1550)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23.5. Let u = -0.9 - -1. Which is the nearest to 0? (a) j (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 - -168. Suppose -n + 5*j = -357, s*n + 2*j = 2*n + 654. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 2 + 3*k**4 - k**3 + 2*k**4 + 9*k to i*k + d + m*k**3 + f*k**4 + b*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 5*x**2 - x - 2. Let q be s(-5). Suppose -2*o + 40 = 2*g, -g - q*g + 82 = 5*o. What is the greatest common factor of g and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2*y, -11 = 5*u - 3*y - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189.95 + 195. Let p = -0.05 + y. What is the smallest value in 4, p, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5))**1 assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46351518*a**2 - 56615474.\nAnswer: -92703036*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 212.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-202))\/(6\/94*(-19552)\/(-1664))\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29472.995 plus -0.5?\nAnswer: -29473.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253768?\nAnswer: 2, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2, -2\/7, -82\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0 + 1\/2*n**2 + 5\/36*n**3 - 1\/72*n**4 + 9*n. Factor x(k).\nAnswer: -(k - 6)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/11, 0, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a - 6*a + 68 = 0. Let u(c) = 6*c**2 + 2*c + 2. Let b(p) = 13*p**2 + 5*p + 5. Give a*b(j) + 5*u(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 1 + 1 + (10*r**2 - 18*r**2 + 26*r**2)*(-1 + 2 - 2).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2. Let f(t) = -586 - 13*t**2 + 586. What is f(a(o))?\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.66 + 15.34. Let d = 91 - 92.8. Let r = d + i. What is r rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 36525 = 29113. Calculate the least common multiple of 22 and y.\nAnswer: 19514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1700495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20918802 and 2436.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:38 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/10626 and -85\/286902?\nAnswer: 286902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (2 - 1))*(-1 - 0). Which is the closest to -1\/3? (a) g (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -962, -2, -10, 2, -15 in descending order.\nAnswer: 2, -2, -10, -15, -962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1240.75 > 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*q - 3*l = -489*q - 15, -4*q = -3*l + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5 - 4 + 7*r + 4*r. Let g(s) = -5*s + 4. Suppose 15 + 1 = -4*d. Let x(v) = d*b(v) - 9*g(v). Let t(z) = z. Give x(t(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 135 = 3*q + 15, 3*s + 160 = 4*q. Let b(j) = 40 - j - q. Let c(d) = 3*d. Suppose 12 - 16 = 4*w. Calculate w*c(g) - 2*b(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10*j + 4 = 0. Let c(d) = -3 + d + 4*d - j - 1 + d**3 - 7*d**2. What is c(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3502*h**2 + 16816*h**2 + 226*h**2.\nAnswer: 20544*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14.999995. What is z rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -43*r + 18. Let l be f(-13). Suppose 11*o + l - 4383 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99803 and 994719?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -442.\nAnswer: -1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24393 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*w, 6*i - 3*w = 9*i + 3. Let u = 2 + -30. Sort i, 1, u in ascending order.\nAnswer: u, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:30 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r - r**3 - 178 + 4 + 2*r**2 - 36*r to n*r + c*r**2 + p + j*r**3 and give p.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 8134.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2801300 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (8 - 3) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*f = 11, -f - 2 - 9 = 3*z. Let c(o) = -5*o + 7. What is the remainder when c(z) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -310 + 3878. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6362?\nAnswer: 2, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgn. What is prob of picking 1 n and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - (-59455)\/286. Let a = 208 - w. Determine g so that 8\/13 - a*g**2 + 30\/13*g = 0.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/3 - 443450*w**4\/3 - 6208030*w**3\/3 - 27048910*w**2\/3 - 12415840*w - 5321064 = 0. What is w?\nAnswer: -221711, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-19 - (-38 + -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32180 is divided by 1038.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 458541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 84216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120876*j**4 - 2*j**3*x - 11263*j*x + x wrt j.\nAnswer: -1450512*j**2 - 12*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/15*2\/3. Let l = -13.718 - 0.182. Let m = 14 + l. What is the nearest to m in -1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9808 divided by 4\nAnswer: -2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1008)*2)**2 - ((sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252)*1)**2))) + 0).\nAnswer: -6*sqrt(7) + 5042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (3 + -16)*(7\/(-56) + 7\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/12*-1 + (-4)\/3. Let k be (-1 + 10)*(-525)\/45. Let w be (-2)\/(-4) + k\/(-10). Solve -d = r*h - 8, -3*d + 4*h - 3*h = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1072 - -48238\/45. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a. Let i be n(-4). Let q be 4 - (16\/40 - 1*i). Let p be (-8)\/(-12)*(-2)\/2. Sort -4, p, q, 0.5 in increasing order.\nAnswer: -4, p, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14))\/((147\/(-74))\/(-49))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and 17\/8870?\nAnswer: 35480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-70)\/(-12)))\/(1\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -4. Calculate the remainder when 21 + ((-27)\/(-81) - 16\/(-6)) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43027 and -1.\nAnswer: 43027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 28*s - 6084. Suppose 17*j - 4*j = s. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28294, 56725, 85156, 113587, 142018?\nAnswer: 170449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - u + 2496 = 2*v, 0 = 2*v + 5*u - 2496. Calculate the greatest common factor of 78 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -13 in ascending order.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-24) - (-6 - 10479\/(-24)). Is -430 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 4. Let o be -4*((-1)\/2 - -3). Let r be q(o). Let v = r - -45. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2*((-3)\/(-4))\/((-2232)\/192)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85.1 + -8.1. Let m = u + -40. Let b = m + -36.999966. What is b rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/(-132) - (4 + (-39)\/12). Let i = -0.1 + 0.2. Let s = -1.1 + i. Which is the third smallest value? (a) s (b) 5\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363106*y**4 - 12*y**3 - 530375*y + 23.\nAnswer: -4357272*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1)*(28\/6)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 0*r. Suppose -5*x + r*z + 2*z + 66 = 0, -2*z = -x + 10. Solve -3*l + 1 = -x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 2*k, 2*k + 5*w - 21 = 8. Factor -39*u + 49*u**k + 11*u**2 - 104 + 110.\nAnswer: 3*(4*u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**3 + 10*b**2 - 20*b + 22. Calculate g(3).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 45. Let j be (-5)\/(l\/(-328)*-4). Let i = j - -356. What are the prime factors of i?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11746909429 take away -20?\nAnswer: -11746909409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 13*u**2 + 4*u - 24. Let x be m(13). Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 22*z - 132. Let o(u) = -132*u**2 - 142*u + 142. Let j be o(1). Let v(y) = 1. Give j*v(r) - h(r).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let z(u) = -261*u**2. Determine s(z(t)).\nAnswer: 68121*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k. Let x(h) = -6*h**3 - 13*h**2 - 9*h - 6. Let a(u) = -u**3 - u**2 - 1. Let m(q) = 4*a(q) - x(q). Let v(d) = 3*b(d) - m(d). Factor v(i).\nAnswer: -2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1104792, 2209603, 3314414, 4419225?\nAnswer: 5524036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - 4*m)*(-5*m + 3*m - m) + (0 - 4 + 2)*(m**2 - 2*m**2 + 0*m**2) + m + m**2 - m to the form w*m**2 + t*m + a and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279\/(-31) - (1 + 0) - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -325 and 1079145?\nAnswer: -350722125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 841603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2\/(2 + -3). Suppose -3*a + 2 - 8 = 0. Let m be 4 + (6\/a - k). Solve -m*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0267 and 5?\nAnswer: -0.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*i**2 - 87*i**2 + 1 - 2572*i + 198*i**2.\nAnswer: 4*i**2 - 2572*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-14)\/((-1820)\/(-1066)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -141*b - 4. Let m be j(2). What is the common denominator of (-26)\/m + (-1030)\/(-44) and 69\/278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:17 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3 - 7. Suppose -n - 3*k = 8, -2*n - a*k - 4 = -3*k. Let i(y) = -1 - 1 + n + 2*y + 5*y**2. Determine i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y*y**(-3\/2))*y*((y*y\/y**16*y)\/y)\/y assuming y is positive.\nAnswer: y**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Solve x = 5*x + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 553, 3633, 12091, 28615, 55893?\n\"Answer: 448*o**3 + o**2 - 59*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 1\/7, 55?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367.0000596 + -367. Round h to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*q + 4214 + 13549 + 125*q.\nAnswer: q + 17763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqiqiqiididq. Give prob of sequence di.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684164189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -426?\nAnswer: 7\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 21*p - 13611. What are the prime factors of p?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3158 + 3157.7. Which is the biggest value? (a) -10 (b) 0.401 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958493.148 rounded to the nearest 10000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24426 and 18?\nAnswer: 24426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {e: 2, y: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 493*s - 4953. Calculate p(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.3 (b) 42 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 + x**2\/2 - 2*x + 1. Suppose -4*t = -7 - 5. Suppose p + 23 = -i - t*p, 29 = -3*i - 4*p. Give b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 + (-666)\/45)\/((-10)\/(-4)). Let u = -0.3 - -0.1. Put 2\/17, v, u in increasing order.\nAnswer: u, 2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 14*y**2 + 121*y + 8. What is u(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-1*-3 + (2*sqrt(171) + 5 - 3*((sqrt(171)*1 - sqrt(171)) + sqrt(171))) + -5)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 239*t**2 - 1905*t + 25. Determine o(127).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 626 and 281074.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 42, 31.\nAnswer: -4, 31, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 9*k**2 + 33*k**2 - 143*k**2.\nAnswer: -101*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30.2. Let l be ((-1)\/(-3))\/(10\/(-90)). Which is the third smallest value? (a) l (b) -15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - 150\/18*-3. Suppose 34*p - 32 = j*p. Factor 0*b**3 - 9\/2*b**2 + 0 - 3*b + 3\/2*b**p.\nAnswer: 3*b*(b - 2)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -10, 2\/27, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -50 - 38. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -3 + 0 - -5. Let c be (s - -2) + (6 - 6). Solve 0 = j - c*j + 9, -15 = 4*y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2135, 2134, 2133?\n\"Answer: -j + 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*g - 16*g - 3 - 19*g)*((-3 + 0 + 4)*(3 - 3 - 2) + 0 - 3 + 1 - 4 + 0 + 2) as z*g + h and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257.41 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 28 + 16. Let l(v) = v**2 + 12*v + 9. Let w be l(i). Let a(s) = -2*s**2 - 2*s + 2. Give a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f - 3 + 2*f - 2 - 4*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.08 + 23.3. Let q = 20 + o. Let k = -0.22017 + q. What is k rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 3*w + w**3)*(2 - 12 + 1) to c + t*w**2 + v*w**3 + h*w and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -0*q. Suppose 3*s = 16 + q. Let f = 11 - 9. What is the least common multiple of f and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + (-5)\/(-2). Let w(v) = -5*v**q + 0*v**3 - 2*v + v - v**3 + 4. Suppose -5*f = 5*k + 15, -4*f - 233 + 218 = 5*k. Calculate w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/14)\/(6\/8). What is the nearest to q in 2\/5, -0.5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8 and (300\/40 - 6)\/(4746\/176)?\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0246*-5812.\nAnswer: -142.9752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26539, 26542, 26545, 26548, 26551, 26554?\nAnswer: 26557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 24. Let o(j) = 2*j**2 - 8*j - 6. Let i be o(z). Suppose -a = -3*a + i. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 4, -2 in decreasing order.\nAnswer: 10, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Let z be d\/(6*7\/(-4)). Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 75775377 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -10. Is 4 a factor of d\/2*(-16)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242, -241, -240, -239, -238?\n\"Answer: n - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 7*h - 18, -68*o + 3*h - 14 = -67*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 57. Let z = 28 - 22. Solve 0 = -d*x + z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3*w**2 + 2096*c**2*w**3 - 485*w**3 + 101*w**2 wrt c.\nAnswer: 12*c**2*w**2 + 4192*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16687 or 69?\nAnswer: -16687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6196, 12418, 18642, 24868, 31096, 37326?\n\"Answer: u**2 + 6219*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 10, 0.5, -2\/5, -0.022, 20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3496991*v**5 - 2636049*v**2 wrt v?\nAnswer: 209819460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -13*g**5\/10 - g**4\/3 - g**3\/2 + 2*g**2 - 8*g + 5. What is the smallest common multiple of v(-2) and 2?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**4 + 34197277*b**3 - 202*b**2 - 2*b - 28 wrt b.\nAnswer: 240*b + 205183662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 584\/5 + -116. Find n such that -6\/5*n**2 + z - 2\/5*n = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1166 or 1278?\nAnswer: 1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d - 9*d - 1 + 22*d.\nAnswer: 31*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*j + 177*j + 493*j**2 + 34*j**2 + 180*j as h*j**2 + x + f*j and give h.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 13) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -864*p**3 + 54*p**4 - 9\/5*p**5 + 0 + 0*p + 1\/40*p**6 - 83*p**2. Find n such that m(n) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 5*v**3 - 4*v**3)*(1 + v - 2*v - 3)*(0 - 5 - 2).\nAnswer: -7*v**4 - 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/101486 and -105\/22?\nAnswer: 101486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 247159143 to the power of 1\/2, to the nearest integer?\nAnswer: 15721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -94*d**2 + 5*d + 5. Let u(p) = 1786*p**2 - 94*p - 94. Determine -94*a(r) - 5*u(r).\nAnswer: -94*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -376, -525, -622, -649, -588, -421?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 4*a**2 + 2*a**2)*(1 + 1 + 0) - 2*a**2 + 2*a**2 - a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a. Let k be t(-2). What is the greatest common factor of 70 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 78*p - 1\/7*p**2.\nAnswer: -p*(p - 546)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 1:24 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 55630?\nAnswer: -55627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 9362, 2, -2, 5 in decreasing order.\nAnswer: 9362, 5, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -50, 331, 2 in ascending order.\nAnswer: -50, -4, 1, 2, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -73. Solve 3*p + w = 1 - d, 2*w + 4 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 14671594 + 44391029. Let o = u - 3583882. Suppose -y + 4*t - 589996 = 8*t, -4*y + 5*t = o. Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 94794922?\nAnswer: 94794921.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50186280 and 15?\nAnswer: 50186280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-4))\/((-9)\/18). Suppose 2*m + 19 = -3*a, a + 1 = 5*m + 6. Sort 1, g, a.\nAnswer: a, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 3 + 2*s + 0 + 3*s + 6 to the form o*s + d*s**2 + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 7*u**5 + u**5 + (3*u**4 + 0*u**4 + 0*u**4)*(3 + u - 3).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybbybbb. Give prob of picking 2 b and 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006712731599 to 7 decimal places.\nAnswer: 0.0006713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -238270 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 333401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -253, 3, 4, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 94. Let r be (8\/(40\/(-5)))\/((-1)\/b). Let c(y) = y**3 + 8*y**2 + 9*y + 10. What is c(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 59. Let c = l + -38.0000047. What is c rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1840)\/30*2*(-6)\/8. Suppose -m + p = 3*b - 5*m, b - 29 = m. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1710 = -9*r. Let p = -1027\/3 + r. Which is the second smallest value? (a) -0.03 (b) -12\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365880 is divided by 1936?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 4. Let y = -0.01 - 6.59. Let v = y - -3.6. Which is the closest to n? (a) 0 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4431 = 121*w - 287*w + 1609 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-7)*(-2)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 16*a + 19*a - 59*a + 21*a + 1. What is w(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 + j + 1. Let t be g(2). Let c(m) = -m - 1. Let n be c(t). Suppose n = -v - v + 6. What is the least common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -13 - (0 + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -210 + (-4 + 2 - -5). What is the units digit of j\/(-6) - 4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 3) + (-2)\/2. Solve 3*y + 5*x = -9 + 25, -y - 13 = -w*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r\/(((r*r**4)\/r)\/r)))\/r)**45\/(r**3)**(-32) assuming r is positive.\nAnswer: r**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 132300321322?\nAnswer: -132300321320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30651.8 - -0.5?\nAnswer: 30652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7385 - 7383. Let g(t) be the first derivative of 3\/7*t**l - 1\/7*t**3 - 18 + 0*t. Factor g(c).\nAnswer: -3*c*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/15, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17209, -17208, -17207, -17206, -17205, -17204?\nAnswer: -17203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4285767.711 minus -60329?\nAnswer: -4225438.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 272, 0, 4, -1, 2, -3 in descending order.\nAnswer: 272, 4, 2, 0, -1, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/(l**(1\/4)*l))*l)\/l)**1*l**(-5)\/l*l*l**(-1\/4) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*l - 99 = -l, 2*y + 2*l - 1157261 = -1157293 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (3 - 4 - -32)\/1.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25569 and 246084579.\nAnswer: 738253737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 542969200 rounded to the nearest 1000000?\nAnswer: 543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + p**4 + 35 - 2*p**3 + 0*p**2 + 0*p**4 - 2*p - 2*p**2 - 30 to m*p**4 + h + f*p + l*p**2 + t*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3019, 3028, 3037?\n\"Answer: 9*m + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 + 7*u + 5. Let f(r) = r**3 + 6*r**2 + 5*r + 7. Let v be f(-5). Determine j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/56)\/(-10)*(-7)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 674905 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182203 by -7.\nAnswer: 26029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-21\/5)*(x\/(x\/(x\/(x**1*x*x))))**(-39))\/((x**0)**17*x\/x**(3\/5)*x*x**(2\/3)) assuming x is positive.\nAnswer: x**(1202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436*o**3 + 1422*o**3 + 1431*o**3 + 1436*o**3 + 1431*o**3 - 8591*o**3 + 1429*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.1, -2, 76?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10269 + 10275. Let p(v) = -3*v**2 + 8*v + 12. Calculate p(m).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3313121 (base 4) to base 3\nAnswer: -210201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 5, 31, 89, 191, 349, 575, 881?\n\"Answer: 2*c**3 - 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 91*i**2 + 3*i - 265. Let d be h(91). Solve -3*g = -j + 9, -19 = -5*j - 2*g - d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 + -4) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + (3 + -3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/36*(-11 - -15 - 6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*b**5*m**2 - b**2*m**3 - 46*b*m**3 + 11*b - 2*m**3 wrt b.\nAnswer: -3320*b**3*m**2 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let l be p(1). Let s(v) = -5*v + 2. Let q be s(l). Suppose q*j = 10*j + 10. Solve 2*i = j*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248437 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s - 6. Suppose -2*c + 5 = -3*c. Let z be m(c). Suppose -4*y - z = -265. What is the remainder when y is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**3 + 144*l + 27\/4*l**4 - 3\/4*l**5 - 108 - 48*l**2 = 0. Calculate l.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(24\/(-10))\/(-2). Let i(s) = -s**2 - 6*s + 7. Let m be i(-6). Suppose -m*k = -a*k. Solve -5*p - 2*w + 32 = w, k = -p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2456887551.\nAnswer: 3, 331, 2474207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*(sqrt(114) - sqrt(114)*2 - sqrt(114)))\/sqrt(6))**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (812 - -7) + 8\/1 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-12)\/200*4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**5 - 1670*r**4 + 3320*r**3 = 0.\nAnswer: 0, 2, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q - 4*f + 88, 3*q - 81 = 3*f. Suppose q = -o + 5*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*o - 4*o. Suppose -g + 3*j = -25, -2*j + 44 = 5*g - o. What is the greatest common divisor of g and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**9*d*d*d**(2\/21))\/(d**12*d**(4\/3)\/d) assuming d is positive.\nAnswer: d**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 65\/2*u**3 - 1\/12*u**4 + 0 - 107\/210*u**7 + 0*u**6 + 0*u**5 + 197*u**2 + 0*u. What is the first derivative of n(h) wrt h?\nAnswer: -428*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b = -4071 - 2593. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**9\/1008 + n**5\/30 + 2*n**3\/3 + 3. Let s(b) be the third derivative of p(b). Find the second derivative of s(g) wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -361, 0.1, -0.5 in decreasing order.\nAnswer: 0.1, -0.5, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-2*5 - (-5*sqrt(190)*2 + sqrt(190)))\/((sqrt(10) - sqrt(10)*-1*5) + (sqrt(1210) + 2*sqrt(1210) - sqrt(1210)) + sqrt(1210)))**2.\nAnswer: 19\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 9. Let a be j(-7). Suppose 0 = -4*z - 5*t - 33 - 41, -26 = z + a*t. Let k = z + 37. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3 - -3)*6. Suppose 16 = b*r - r. Suppose -4*o - 3*l = -11, -5*o + 4*o + l + r = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 20 = -2*y. Calculate the greatest common divisor of 30 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 - 32 = 0. Suppose o - 2*b = i, 0*b - 3*b - 19 = -5*o. Is (-2 + 0)\/(o\/(-57)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 967 (b) 67 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 21*q + 2. Let x be r(19). Let o = -50 + x. Let v be (1 - o\/(-90))*-5. Which is the second biggest value? (a) 1\/5 (b) 3 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 18*i - 15. Suppose -4*f - 5*p = -49 - 11, -i*f - 5*p = -45. Suppose -6*j = -3 - f. Solve 6*l = j*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 3076 = -11606. What are the prime factors of t?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*h + 8. Suppose 0 = -5*r + r - 3*l + h, -5 = -2*r - l. Find the third derivative of 6*p**2 - 6*p**r + 12*p**5 - p**2 wrt p.\nAnswer: 720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 4.\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.1991217 to three dps.\nAnswer: 13.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -125?\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 66*y + 31. Give g(22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572348.\nAnswer: 2, 7, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200496 and 1296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2 - 48\/(-21)). Let r(j) = -j**2 - 7*j + 3. Let h be r(o). Suppose 19 = h*n - 107. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 2 - 3*y**2 - 3*y**2 + 3*y**2 - 6*y**2 to o + k*y + d*y**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27166.009 - -27166. Which is the nearest to n? (a) -2 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 254?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 0, -195 in ascending order.\nAnswer: -195, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - 78\/(-24). Solve 2 = -g - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 5. Suppose -3*k = -5*h + 3, -32 = 3*k + 2*h - 8. Give v(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*d - 61*d + 240*d)*(-1 + 0 + 0)*(3 - 4 - 3)*(5*d**3 - d**3 - 5*d**3).\nAnswer: -380*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 + 2*x - 3. Let o be k(4). Let w = o + 39. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725 greater than 5720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065249 to 4 decimal places.\nAnswer: -0.0652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1014\/210 + -5 + 15\/25. Let n = -14\/19 - -155\/133. Factor h*f + 6\/7*f**4 + 0*f**3 - 6\/7*f**2 - n*f**5 + 0.\nAnswer: -3*f*(f - 1)**3*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 4*n**3\/3 + 7. Let r(i) = 2*i. Determine f(r(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0, 5, 71\/5, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -41 (b) 0.13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3801403?\nAnswer: 3801403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3223261192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 52. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7974438, -7974440, -7974442, -7974444, -7974446, -7974448?\n\"Answer: -2*w - 7974436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*m**3 + 2904*m**2 - 2904*m**2)*(-4*m - 7*m + 2*m).\nAnswer: 1269*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/(-69) - (-32)\/6. Let f be (8\/10)\/(1\/m). What is the second biggest value in 3, f, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -725969*v*x**3 - 9481*v - 17 wrt x.\nAnswer: -2177907*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2178\/61 + 216799\/5978. Let f = -3397\/5250 + -59\/125. What is the common denominator of f and j?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1932)\/(-420))\/(3\/(-75)*-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/29, 2\/19, 0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 41705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17ad0a (base 14) to base 8\nAnswer: 3142176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 64*n - 10. Let q(i) = 4*i**2 - 64*i + 13. Give 5*j(r) + 4*q(r).\nAnswer: 6*r**2 + 64*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -32. Let c(u) = -6*u + x*u - 5*u. Let y(t) = -2*t - 1. What is 4*c(n) + y(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3083*z**2 - 9250*z**2 + 0*z + 3087*z**2 + 0*z + 3086*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4849\/15 - -323. Let r = 5342\/15 + -357. Let p = a - r. What is the biggest value in p, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 129 = -3*j, -3*f = -15. Let v = j - -43. Suppose -400000 = -5*m - 4*k, v*k + 298846 + 21154 = 4*m. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -56590*s - 452693. What is b(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3035 + -0.2335. Let o be ((-8)\/(-6))\/(1\/(-3)). Put -2, y, 1\/2, o in ascending order.\nAnswer: o, -2, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -114*w - 3109. Calculate y(-32).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j - 33*j = -325*j - 80*j + 1455 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2. Let x(t) = 4*t**2. Let f(s) = 5*b(s) + 6*x(s). Let w(m) = 3*m. Let q(a) = 2*a. Let d(g) = 9*q(g) - 4*w(g). Determine d(f(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119622575335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/21 - (-18960)\/(-630). Calculate the remainder when 169 is divided by (-28 - s)\/((-2)\/(-34)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-390)\/(-90))\/(3\/9) - (-4770)\/(-366).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:53 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -7 - 5 - (0 + (5 - 5 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 393 and -1.06.\nAnswer: 391.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -764.\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 1449?\nAnswer: 11592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4268 + -4269.1. Which is the fourth smallest value? (a) u (b) 0.2 (c) 2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.02838 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 4*q - 36 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*s - 10, -8*s + 5*s = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 15. Let f(r) = -2*r + 45. Let c(v) = -v + 19. Let l be c(0). Let d be f(l). What is the least common multiple of 5 and a(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8704 + -1.8704052885. Round o to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)*h)**(22\/9))**48\/(h**(-4\/5)*(h\/((h**3*h)\/h*h))\/h)**43 assuming h is positive.\nAnswer: h**(12504\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + -5653971?\nAnswer: -5654043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:48 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + 11\/3*l**3 + 19\/2*l**2 - 1\/12*l**4 - 8*l. Is 8 a factor of y(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 - 21*r + 13. Suppose -2 = -2*w - 6, 5*h + 2*w = 31. List the prime factors of t(h).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s**2 - 1\/2*s**4 - 2\/3*s**3 + 2 + 0*s. Find the third derivative of m(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*d**5 + 0 + 4\/13*d**2 - 50\/13*d**3 + 48\/13*d - 4\/13*d**4 = 0. What is d?\nAnswer: -4, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 409538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b73d5 (base 14) to base 15.\nAnswer: c9527c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-11 + 27 + -28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 545 = 3884 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36065 is divided by 2254.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**2 - s**2 + 1 + 4*s**2)*(-360*s**2 + 467*s**2 + 1005*s**2).\nAnswer: 1112*s**4 + 1112*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1251952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**7\/21 + 11*b**5\/10 - 272*b**3\/3 + b**2\/2 - 374*b + 1. Find the second derivative of y(w) wrt w.\nAnswer: -80*w**3 + 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*q - 5*v - 10, -5*q - 3*v = -56. Let i = q + -6. Suppose -4*r + i*n - 7 = -63, -2*r - 2*n = -48. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14219*k**2 - 4732*k**2 - 4743*k**2 - 4727*k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o + 46*o**2 + 7*o - 18*o - 16*o**2.\nAnswer: 30*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - 56\/(-6). Let j(c) = -c + 13. Let v be j(a). Solve -w + 4*g + 10 = 0, -3*g - v - 15 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*o + 910, 0*x - 546 = 3*x - 4*o. What is x rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 87. Let h be w(29). What is the nearest to h in -18, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*c - 39165, -7*c - 5*d - 39185 = -2*c. Let w = c - -26385. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.53338646 + -0.398.\nAnswer: 4.13538646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:13 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14890.4 - -16896. What is t rounded to the nearest 10?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:36 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*((-a + 2 - 2)*(1 + 0 + 1) + 10*a + 0*a + 5*a) to i + n*a and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4adc (base 16) to base 5\nAnswer: 1103124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349\/455 - -3\/91. Let y = -1524 + 1520. What is the closest to 1 in y, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 f when three letters picked without replacement from {v: 1, f: 1, o: 1, n: 1, j: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/168 - (-8)\/32. Which is the closest to 0? (a) 0 (b) 2 (c) 4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 885323*f*r**2*s - 5243*f*r**2 + 29*f*r wrt s?\nAnswer: 885323*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 110.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 2966 + 1479 + 1487.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(1470))\/(sqrt(40)*4))*6.\nAnswer: -21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - 4*b - 3. Let r be a(-3). Suppose -r = q - 4*q. Let o = 41 - 25. What is the remainder when o is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -8. Let b = h - 37. Let c = -20.99999972 - b. Round c to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21707520 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.91 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, 1059, 4\/605 in descending order.\nAnswer: 1059, 5, 4\/605, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -4. Let y be -3*12\/p - -7. Suppose -5*f - 24 = -2*j, -y*f = 2 + 4. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80439, 160878, 241319, 321762, 402207, 482654, 563103?\nAnswer: 643554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128 greater than 6150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 22*f - 35. What is i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 187.75 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 12*t - 42. Let q be r(3). What is the greatest common factor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -1 + sqrt(300) + sqrt(300)*3 + -3))**2.\nAnswer: -11520*sqrt(3) + 173376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17913491179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 - 6 = 0. Suppose u = g + g. Suppose 0 = -265*k + 262*k + 12. Is k equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13844624 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q + 230. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:15 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-18) - (-15)\/(-2). Let m be (15\/r + 2)*16. Is -8 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f**2 - 4*f**2 + 4*f**2 to d*f + c*f**2 + w and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183552 - 122361. What is the ten thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -3b35d?\nAnswer: -3b361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 minus -761429557.339?\nAnswer: 761429497.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*u - 39 - 29 = 0, 4*u + 184 = 5*x. Let g = x + 260. Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*d - 2*s, 2*s + 4 = s. Let t = 12 - d. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 45. Let l be m(6). Let r be 6\/(-27) - 182\/l. Suppose 4*h - r = -s, h + 2 = -3*s - 4. What is the remainder when 87 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*n, -65*n + 67*n = 3*k + 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5.4 (b) 2 (c) -2 (d) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/24)\/((-1)\/(-2)). Let b = 0.1 + 0.3. Sort 2\/11, h, b in ascending order.\nAnswer: h, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000 - 1111011?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1747584066 - -1747584150.2188523. Let k = -1.2192823 + l. Let f = k + -83. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 118, 262, 462, 718?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380 + -379.6. Which is the closest to -1? (a) 4 (b) r (c) 1\/4 (d) 0.198\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 75, 88, 101, 114, 127?\n\"Answer: 13*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 4*v**3\/15 - 4*v**2\/5 + 4*v\/5 + 2. Solve w(c) = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8 + (-67)\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 30, -379*n + 8*z = -258*n - 125*n - 96 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*n - 4*x, 2*x = -n + 4*x - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 127, 184, 241?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/551 and 5\/114?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 74 = 10. Let u be (-3)\/(-6)*p + -1 + 1. Suppose u*m + 6 = 22. Solve -m = y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -345199?\nAnswer: -12\/345199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 - 36*x**2 - 133*x + 1023. Calculate z(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/60 and -80\/459?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -0.02703, 2\/5 in decreasing order.\nAnswer: 16, 2\/5, -0.02703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/24 - 19*i**2. Let v(m) = -50*m**2. What is n(v(b))?\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 750456102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326 = -79*r - 3813 - 3517 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 16. Let n(r) = 12 + 10 - 20. Let y(z) = l(z) - 5*n(z). Give y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*q**2 + 20241*q + 534794.\nAnswer: 38*q + 20241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 - q**3\/6 + q**2. Let t(j) = -4*j + 2. Let h(s) = 1. Let p(d) = 2*h(d) + t(d). Determine p(y) + 6*u(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 smaller than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Let n be y\/(-15) + 2\/(-10). Let k = 3686\/9 - 410. What is the nearest to n in k, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25107.01 centuries to years.\nAnswer: 2510701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858397*r - 72 = 858394*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23152 - -50?\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/24 - 405\/390?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -741952 divided by -92744\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggagggagagg. Give prob of picking 1 a and 2 g.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 510243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 85?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75546 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 1 + 1)*(-c + 4*c - 2*c) + (-2 + 2 + 1)*(-5*c**2 + 5*c**2 - 34*c**2)*(2*c + 2*c - 3*c).\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -84087.6 - -55236188\nAnswer: 55152100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/945)\/((-296)\/(-2960)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 15*l + 18*x + 80 = 15*l, 3*l = 8*x + 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ad2 (base 14) to base 6.\nAnswer: 324132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188\/(-6)*9\/(-6) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-2*b - 2 + 2) + (b + 8*b + 10*b)*(2 - 13 - 4) to the form g*b + i and give g.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/20 - 5*s**4\/12 + s**3\/6 - 2*s**2 - 10*s. Suppose -9 + 54 = 3*x. Suppose -5*b + x = -2*b. Give k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7)*-1 + ((-9)\/3 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 50 + 13. What is the second smallest value in -2\/11, a, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 1. Let q be z(1). Let k be (0 - q)*4 + 1. Let n(g) = -g + 12. Let t be n(k). Solve s + t*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/16*(2 - 1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/3))**(2\/45))**(-3))**24 assuming m is positive.\nAnswer: m**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 - 10*m**3 - 45*m**2 + 90*m = 0.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2 + 2. Let m(q) = -20*q**3 - 360*q**2 + 24. Calculate -12*f(z) + m(z).\nAnswer: -8*z**3 - 348*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/6 - 24*b**3 + 71*b**2 + 4*b - 257. Find x, given that i(x) = 0.\nAnswer: 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 212 and -6.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a century in months?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 2)*3)**2 + sqrt(162) + 5.\nAnswer: 333*sqrt(2) + 1499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22405 (b) 0.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347114157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1321*o - 1319*o - 43)*(-123 + 2 - 32 - 134 + 2) in the form v*o + x and give v.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00037 + 0.015.\nAnswer: 0.01463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27733392 is divided by 194.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 - 84*c**3 - 442*c**2 - 360*c = 0. Calculate c.\nAnswer: -36, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from zmmrrmmmrzmr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-11 - 8) - 20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 5, 1.3, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 586 + -7620\/13. Sort 2, 1, -3, g in ascending order.\nAnswer: -3, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0)\/(10360\/(-185))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/56620 and 85\/139438074?\nAnswer: 1394380740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 750?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020205884 to 6 decimal places.\nAnswer: -0.002021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 23 - 3*z + 14 as n + k*z and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 27. Let g = -10 - p. Is 15 a factor of 604\/g + 12\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 12*a + 7*a. Let m(h) = -h**2. Give m(l(o)).\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u. Suppose 8*p - 2*p - 84 = u. What is the lowest common multiple of p and 8*-2*(-1)\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(2\/7)*r**7*(r*r**4\/r)\/(r\/r**(-7)*r)*((r*r**(-1\/3))**(-35))**(-4\/3) assuming r is positive.\nAnswer: r**(2131\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 3*z - 3*z)*(1140 - 108*z - 1140)*(3 - 3 + 4*z).\nAnswer: 2160*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 32. What is s(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.031\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 3*a**2 - 2*a - 7. What are the prime factors of g(-7)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/2 (b) 8\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/8 - 2*c**3\/3 - 29*c**2. Calculate p(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24*o)**21 assuming o is positive.\nAnswer: o**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 9. Let w be 2\/(-5) - (-7)\/5. Let b be (w - (-54)\/(-4))*-2. Suppose b = 2*z - 5*c, 0*c - 3*c = 3*z + 15. Calculate l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**6\/k)\/k)\/(k\/(k**(-1\/6)\/k*k)))\/((k\/(k*k\/(k\/(k\/k**(-2)))))\/k**(-6)) assuming k is positive.\nAnswer: k**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/2))\/v*v**(-7)*v)**33 assuming v is positive.\nAnswer: v**(-495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/35 + (-21)\/(-20). What is the closest to -1 in z, -0.5, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*y + 4, y + y = h. Solve 0*j - 3*j = h*g - 32, 4*g - 2*j = 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnaananddadadvdara. What is prob of picking 2 a?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Find the first derivative of 378*j**4 + 0*j + 466*j**4 + 354*j**4 + 673 + 0*j wrt j.\nAnswer: 4792*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:06 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = z, z + 44168 = 2*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63728.19 hours to microseconds.\nAnswer: 229421484000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = 7, -5 = -y - x. Suppose -8*l + 9*l = 12. Solve 3*q + y*n = 2*n + 6, -4*n + l = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-88 - 20\/4)*-1 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -54677.4036181.\nAnswer: -54659.4036181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**8\/1512 - g**7\/945 - g**6\/270 + g**5\/135 + g**4\/108 - g**3\/27 - 7*g**2. What is t in c(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)*5)\/(sqrt(8)\/sqrt(4)*5) + 4.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10125 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00937075455 to seven dps.\nAnswer: -0.0093708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*s**3 + 3*r**3*s**2 - 420*r**2*s**3 - 9*r*s**2 + 8*r*s + 2*s**3 wrt s?\nAnswer: 18*r**3 - 2520*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (-7 + (11 - (-18 - -21))) - 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 1. Determine o(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 246?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 1 (c) 6 (d) 0.1473 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 3*b**2 + 1\/455*b**7 + 41\/780*b**6 - 98\/39*b**3 + 0*b + 131\/390*b**5 - 77\/156*b**4 + 23. Suppose o(f) = 0. What is f?\nAnswer: -7, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*v, -3*q + 448*v - 446*v = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 28. Suppose l - 6*u = -y*u + 29, 2*u = l - 25. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33fd3e - -1f?\nAnswer: 33fd5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8024?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/15*v**5 + 0 + 0*v + 13*v**2 + 0*v**3 + 25\/24*v**4. Find the second derivative of a(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646470?\nAnswer: 2, 3, 5, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.2, 0.5, 1\/7, 3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -3a304c8?\nAnswer: 3a304b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1184241*f**2 + 1946384 wrt f?\nAnswer: -2368482*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 59*h**3 + 9*h**2 - 5*h + 9. Let z(q) = 15*q**3 + 2*q**2 - q + 2. What is -2*p(x) + 9*z(x)?\nAnswer: 17*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60430679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21480 and 18840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 9a4?\nAnswer: -9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -73. Suppose 0 = -3*o - 10 - 2. Let r be -3*(4\/(-3))\/o. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37955 by -8.\nAnswer: -37955\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 4. Let u be c(3). Let l(p) = 5*p**2 + p + 1. Let k be l(u). Solve -4*q + 8 = -4*a, -3*q - k*a + 1 = 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-111)\/(-84) + (-39)\/(-91). Factor 1\/2 - b*r**3 + 7\/4*r - 1\/2*r**2.\nAnswer: -(r - 1)*(r + 1)*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117978 is divided by 1403?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffrfffrnrnfrfrfrrfb. What is prob of picking 1 b and 1 n?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098517103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -192\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 8*l + 9. Let f be u(-5). Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29000013 - -0.29. Round i to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 - o - 3. Let d be (-3)\/5 + (-56)\/(-10). Is c(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**3 + 61*r**2 + 15*r + 14. Let o be h(-12). Let d(v) = 5*v + 107. Let s be d(o). What is the second biggest value in s, -1, -1\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.7. Let u = c + -0.07. Do 0 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/6)\/(18\/(-36)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302635913.\nAnswer: 37, 8179349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**7\/105 - n**6\/10 + n**5\/5 - n**4\/6 - n**2\/2 - 2. Let o(a) be the second derivative of q(a). Factor o(c).\nAnswer: 4*c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -124*x + 32774. Determine h(246).\nAnswer: 2270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29256 != -29252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:31 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 6. Calculate q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 19500.9 and -1678.313.\nAnswer: 17822.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppmp when four letters picked without replacement from {p: 10, g: 3, n: 2, m: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/8 and 5\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 520317637 divided by -413?\nAnswer: -1259849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 415, 420, 425?\n\"Answer: 5*m + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52243 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.85 + -16. Let f = h - -5.15. Let o = 2 - 1.7. Which is the second smallest value? (a) f (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 u when three letters picked without replacement from {b: 15, u: 3, w: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2 - 221*k + 82. Determine y(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - c - 17 + 9, -31 = -1640*u + 1635*u + 8*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3906 - 1897 - 1823 = 6*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7554 is divided by 218?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14346*a + 144. Let u(d) = -108*d - 1. Let s(v) = -5*m(v) - 720*u(v). Let l(j) = -j**2. What is l(s(r))?\nAnswer: -36360900*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 28675, 1, -4, 63, 1\/4?\nAnswer: 28675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 5 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79869426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2107, 4217, 6327, 8437?\n\"Answer: 2110*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -78, -114, -132, -126?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -13. Let j(k) = -6*k - 11 + 7 - 8*k. What are the prime factors of j(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*u = 10, -32*u = -h - 36*u + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087 - 3087613?\nAnswer: -3083526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, i: 2, q: 9}. What is prob of sequence if?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 19. What is g(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:06 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430578.\nAnswer: 2, 3, 19, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -1. Let z be -1 + (-3)\/(6\/8). Sort -1, a, z in ascending order.\nAnswer: z, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 328 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 62. Solve -2*g + q*n - 8 = 0, -4*g - 2*n = n + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292236599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -535, -2099, -4657, -8209, -12755, -18295, -24829?\n\"Answer: -497*y**2 - 73*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47.23 or 2?\nAnswer: 47.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -2. Let z(w) = 3*w + 2. Let q(a) = 6*a + 4. Let v(u) = f*q(u) + 11*z(u). What is v(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*q**3 - 2*q - 145 wrt q.\nAnswer: 75*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 + 1 = 0. Let x be (2 + u)*0 + 0. Suppose p + 2 = x, 5*p + 28 = 2*a - 0*p. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let s be (10 + 288\/(-27))*3\/(-2). Let x(g) = g + 4. Let z(t) = 1. Let a(u) = -2*x(u) + 9*z(u). Determine s*n(c) - a(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 6*i - 6. Let t be v(-4). Suppose 4*o - t = -o. Let j be (-75)\/o*2\/(-3). Solve 5 = -j*h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3938 divided by 209\nAnswer: -358\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 4, f: 1, e: 5}. Give prob of picking 2 e and 1 j.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.652 from 49558772888.\nAnswer: 49558772887.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 54, -3, 0, 4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4860563 + 1389363. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w = 981*w - 29725 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-34)*p\/(((p\/(p\/(p*(p*p**(3\/2)*p)\/p*p)))\/p*p)\/p*p)*((p\/(p\/p**30))\/p)**(-7) assuming p is positive.\nAnswer: p**(-479\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.12 + -2.0981. Round k to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/39)\/(11\/(-143))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 407750 and 3500.\nAnswer: 815500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54202 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: Solve 2 = -3*w - 5*a + 22, -2 = -w + 3*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**3 - 6*o**3 - 2*o**5 + (29 - 9 + 7)*(3*o**5 + 0*o**5 - 4*o**5).\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 6356?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:32 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5 + 66*f**4 - 72*f**3 - 66*f**2 + 69*f = 0.\nAnswer: -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304020 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**38)\/(c\/(c**24\/c)) assuming c is positive.\nAnswer: c**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.64497?\nAnswer: 3.86982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 141*g**2\/4.\nAnswer: -g**2*(g + 141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 5. Let c be d(-4). Suppose -h + 0*z - 4*z = -5, 5*h = -c*z + 25. Is 6 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b + 20. Let a be l(0). Suppose -4*y = w - 18, 2*w = -2*y - 2*y + a. Suppose -w*i = -0*i - 258. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**5 + 65*g**4 + 121*g**3 - 1605*g**2 + 2600*g - 500 = 0 for g.\nAnswer: -5, 2\/9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -124 (b) 5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 827188035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263945914 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/48 and (-3)\/(-12) - 125\/10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 12. Let p be k(-10). What is the second derivative of 0*j**2 - 3*j - j**2 + 0*j**p + 0*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, a: 2, e: 4}. What is prob of picking 2 v and 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*m - 2*m - 40, 5*m + 4 = -2*q. Calculate the smallest common multiple of q and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/(3\/(-9)). Suppose 0*l = -q + 5*l + 36, 3*q = -u*l + 32. Suppose 8*a + 8 = q*a. What is the closest to a in -3\/4, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1463 + 1481 + (0 - 6) + (0 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 371.9764 - -0.0236. Let z = y - 371.8. What is the nearest to 1 in z, -3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 2728.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 2. Let v be q(-6). Suppose -2 = -2*g - 2*x, -2*x + 6 = -5*g - v. Calculate the remainder when 14 is divided by 1\/((-2)\/(5*g)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -653.2295 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8 and 77\/54954.\nAnswer: 219816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2363 + -2362.5. Which is the smallest value? (a) 0.3 (b) -62 (c) 2\/23 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (36 - 19 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (3*sqrt(567))\/(((sqrt(81) - sqrt(9)) + sqrt(9))*-2).\nAnswer: -3*sqrt(7)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15306 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(-1\/6)\/(c\/(c\/c**(-5\/2))*c**(2\/21)*c)*((c**(2\/3)*c)**(-4\/3))**(42\/13) assuming c is positive.\nAnswer: c**(-4684\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + m**3)*(-4 + 1 - 4) as o + k*m + l*m**3 + j*m**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1833.13 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 1. Let u be p(-1). Suppose -4*q - 4*m = -u*m - 45, -2*q = 3*m - 15. Let s = -35 + 49. Calculate the lowest common multiple of q and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 10. Let m be v(7). Suppose m*x + 26 = -6. Which is smaller: x or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11640)\/580 + 1 + 4 - -15. Let v = 6 + -16\/3. What is the biggest value in -4, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 21 = 315. Suppose 5*d + 5*b = 45, -13*d - s = -15*d - 4*b. Determine v so that -8*v - d*v**2 + 14\/3*v**3 + 8\/3 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2)\/z)**35\/(((z*z**0*z*z)\/z)\/z)**3 assuming z is positive.\nAnswer: z**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -20.0098. What is w rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3\/15*5. Let k be -1 - -26*(i + 2). Let q = 43 + k. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 197?\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(36)*6))**2*-3 - ((sqrt(70)\/sqrt(90) - sqrt(7)) + (-3*sqrt(112) - sqrt(7))).\nAnswer: -7\/108 + 41*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2096910 and 121560.\nAnswer: 8387640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11103780, 11103779, 11103778?\n\"Answer: -q + 11103781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 3*w**2 + 3*w + 1. Let p(c) = -4*c - 26. Let x be p(-7). Suppose -u + 7 = -v, -10 = x*v + 5*u - 6*u. Calculate j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/(298\/(-2235)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13150091?\nAnswer: 13150091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 4*g. Let a(c) = g*c + 6*c**2 - 5 + c - 3*c**2. Let y be 1\/(-1)*70\/(-10). Let n(v) = -2*v**2 - 4*v + 3. What is y*n(w) + 4*a(w)?\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70 - 478*w - 864 + 65*w - 597 - 634*w wrt w.\nAnswer: -1047","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {a: 5, n: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48 - -3123.47?\nAnswer: 3121.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**3 - 1. Let s be z(1). Suppose 5*q - s = -23. Let p = q - -4. Solve 5*x - p = 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 203806 in descending order.\nAnswer: 203806, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*(455*r**4 - 1837*r**4 + 758*r**4).\nAnswer: -1248*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 299171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 7*d**6\/10 - d**5\/60 + 101*d**4\/12 + 53*d**2. Find the second derivative of v(z) wrt z.\nAnswer: 504*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181, -369, -567, -781, -1017?\n\"Answer: -o**3 + o**2 - 184*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 7*f**2 - 7*f + 7. Let q(x) = -3*x**2 - 3*x + 3. Suppose 0 = y - 3*y + 2. Let n = y + -4. What is n*b(u) + 7*q(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111311330 - -10?\nAnswer: -111311320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 564 = -11*q + 13*q, 0 = 5*q. Let o = u - -1078. List the prime factors of o.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 10*i**3 - 8*i**3 - 245*i.\nAnswer: -13*i**3 - 245*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 28*v - 993 = -228 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + -4 + sqrt(2448) + 3*4*sqrt(2448) + sqrt(2448))*-4 + -2)**2*-6.\nAnswer: -52878744 + 155520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Is (1\/n)\/((-1)\/278) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1234*a**7\/7 + 11*a**3\/3 - 50*a - 859. What is the third derivative of x(d) wrt d?\nAnswer: -148080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 78 = 21224*n - 21229*n, 4*y + 6 = n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.88 (b) 0 (c) -13\/3 (d) -2 (e) -0.8 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/4)\/(y*y**(-4)))**(9\/5) assuming y is positive.\nAnswer: y**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 6*l + 11. Let w be p(-3). Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6469283 * 1\nAnswer: -6469283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*r. Suppose z - 18 = -r*z. Suppose -h - z = -2*p + h, 4*h + 10 = 3*p. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -4, 0.3, -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*y + v, v - 1883 = y - 1903 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207 or 3495606?\nAnswer: 3495606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17665 is divided by 5874.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4009554 and -73\/104058.\nAnswer: 188449038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)\/t**(-1\/17))\/(t*t\/((t**(10\/9)*t)\/t*t)*t*t*t\/(t\/t**(-3\/4))*t) assuming t is positive.\nAnswer: t**(-7687\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-469404\nAnswer: 46940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 14*u + 234. Suppose -2*h - 25 + 111 = 0. Let v = h + u. What is the greatest common divisor of v and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -14. Let i = 78 - o. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 102, 64, 24, -18, -62, -108, -156?\n\"Answer: -x**2 - 35*x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = v - 1, -22 = 2*v - 3*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*g*u**3 + g*u**2 - 17717989*g*u - 57*u**3 + 360*u**2 + u wrt u.\nAnswer: 342*g*u + 2*g - 342*u + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.7 + 28.7000518. Round p to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75132 and 2064.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230221 - 33?\nAnswer: 230122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 314496?\nAnswer: 314495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p**3 - 7*p**2 - 11*p - 9. Is y(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 20 = 0, -45*n + 40*n = -114*c + 481 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 85 in -4, 0.2, -70, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -355, -351, -347, -343, -339?\n\"Answer: 4*n - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 13534824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from wxwxwwwwwwwxxwwxww?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107986560 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/(t**(1\/3)\/t))\/t*t*t*t)\/t)**24\/(t**0\/(((t**2\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 4*p**3 - 2*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145.1 + -145. Sort 1, h, 4, 0.02 in decreasing order.\nAnswer: 4, 1, h, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 3. Suppose -2 = -3*x + 1, -u*x + 62 = 2*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 311809.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 143*g**2 + 840*g + 496. Calculate k(77).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*k + 298 + 312 = 0. Let p(n) be the third derivative of -n**5\/60 - n**4\/12 - n**3\/6 - 4*n**2. Let v be p(-4). Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, g: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + 0))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 6. Let j be k(-7). Suppose 7*t - 2*t = 4*a + j, -3*t - 3*a = -21. Is 10 a factor of 0\/t - (1 - 23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/9 + 25*h**4\/9 - 61*h**3\/3 + 275*h**2\/9 + 484*h\/9 = 0.\nAnswer: -1, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1242\/8 - (-1 + 30\/24). Let k = -33 + n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2110210\/1807 bigger than -1169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*b - 1665 - 3543 = -1169 + 2330 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 2*v**2 + 2*v + 5. Let t be s(3). Let h(n) = -4 + 5*n + 1 - 4*n. Let i be h(3). Solve -t*x - 11 = -3*j, 5*j - x + 3*x + 3 = i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10\/6)\/(13\/(-39)) - (-19628)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188856 divided by 549.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2815, 22803, 77167, 183127, 357903, 618715, 982783, 1467327?\n\"Answer: 2870*t**3 - 32*t**2 - 6*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -3\/26, 4\/3, 156, 15?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -132, -2, 5 in descending order.\nAnswer: 14, 5, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyqwqwwywqhwffwywhy. Give prob of picking 3 w.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 7781 - 24091. Suppose 3*t = c - 859. What are the prime factors of t?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**3 + y**2 - 2*y. Let k be h(-2). Let l be 30\/k*(-6)\/20. Let s = -0.3 + 0.4. Which is the closest to s? (a) l (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -416 - -903. Let z(h) = -483*h - x*h + 969*h. Let b(a) be the third derivative of a**3\/3 - a**2. Give -b(k) - 2*z(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 8424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1021024 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(32580\/(-32577) - -1). Let d = -195385\/18 + s. Let w = -256177\/43060 - 3\/4306. Find the common denominator of d and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:18 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 22*m - 521. Let y be u(24). Sort 5, -6, y, -4, -3 in ascending order.\nAnswer: -6, -4, -3, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:58 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7392.7 - -7392. Which is the third biggest value? (a) -69 (b) g (c) 0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -7*v**6\/240 + 5*v**5\/6 - 119*v**4\/48 + 13*v**3\/6 - 396*v**2. Let m(k) = 0. Calculate k.\nAnswer: 2\/7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:34 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -0.1, 0.\nAnswer: -5, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11390\/(-180) - 2\/9)*-2. Suppose 0 = 2*y + 5*f + 139, 2*f + 19 = 2*y + 193. Let x = y + j. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6285*h = -6298*h - 39. Which is the closest to 0.5? (a) h (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + e5?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90.2897mg?\nAnswer: 90289700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-1632)\/63 - 14\/(-147). Solve t*j - 12 = 19*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2929854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 15 + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 1\/5 (c) -0.45 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 12*y - 21 = 0. Let k(z) = -z + 4. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 at least as big as -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -0.05 in increasing order.\nAnswer: -1, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 4. Let l(v) = -v**2 + 1. Let b(a) = -a**3 - 8*a**2 + 10*a + 8. Let q be b(-9). What is q*y(n) + 5*l(n)?\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49816 (b) 10 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9169680 by -39.\nAnswer: 235120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/8 - 605*k**3\/8 - 303*k**2\/4 = 0.\nAnswer: -1, 0, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/(20\/90).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/83? (a) -0.01 (b) -5 (c) 0.1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.739236 plus -1?\nAnswer: 171.739236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/3 - 3*g**2\/2 - 2*g + 173. Suppose 3*b = l - 18, -2*l - b = -2 + 1. Let v(m) = -m - 1. Determine l*v(j) - f(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + y - 4. Let t(h) = h - 1. Let l = 9 - 6. Let n be t(l). Suppose -p = -n*q + 5, 2*q + 4*p - 5 = -25. Calculate b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (106\/12 - 484\/(-2904))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**0)\/g)**(-6))**(-6\/5)\/((g**(-1)*(g*g**(-4)\/g)\/g)\/((g*g**(-6)\/g)\/((g**(-1\/2)*g)\/g))) assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*b - 108*b + 148*b - 255*b.\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 910563672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 8. Let o be (d\/(-2))\/(-1)*20. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 31, 64, 117, 196?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3085374441.\nAnswer: 3, 4049, 254003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 4, 10, 20, 34, 52?\n\"Answer: 2*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 22*k**2 - 17*k - 102. Let u be j(23). Solve 3 = 5*l - 17, u = 5*z + 4*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 178*y**2 + 23*y - 20*y - y**3 as w*y**3 + l*y**2 + i*y + x and give l.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + 50. Let z(n) = -7 - 84*n**2 - n + 5*n + c*n**2. Let i be z(-8). What is the highest common divisor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*k**2 - 49*k**2 - 78*k**2 + 199*k**2 - 54*k**2.\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 16224*k**5 - 2496*k**4 - 10434*k**3 - 3051*k**2 - 243*k = 0.\nAnswer: -1\/2, -9\/52, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812365.9 millilitres to litres.\nAnswer: 812.3659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05951049 rounded to five dps?\nAnswer: -0.05951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 + 7*m**2 - 3. Let v(o) = -o + 2. Let x be v(0). Let g(h) = -x*h**2 - 4*h**3 - 2*h + 6*h**3 + 1 + 2*h. Let u = 4 + 3. What is u*g(q) + 2*c(q)?\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 + 5*v - 1. Suppose -4*x = -2*c - 4, -6 = c + 2*x + 4. What is the units digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 7\/2*p**3 - 1\/12*p**4 - p**2 - 79\/30*p**6 + 70*p + 0*p**5 - 1. What is the second derivative of h(a) wrt a?\nAnswer: -948*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgo when three letters picked without replacement from ggggwoggg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 182, 178, 172, 164, 154?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2\/11, -17140.\nAnswer: -17140, -2, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + (-19 - (0 + -46) - 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 12, 2\/11, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 + v**4 - v**4 + 3*v**5 - 2*v**5 + v**5 + (-v**5 + 0*v**5 + 0*v**5)*(0 - 2 + 1).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 46441*f + 25 = 46436*f, 3*l - 20 = 4*l + 4*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -6. Suppose 616 = -25*m + 516. Sort m, p, 2, -2 in ascending order.\nAnswer: m, p, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*n - 73 = 0, -x + 4*n + 7 + 3 = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + i + 20, -2*l - i + 6*i + 8 = 0. Suppose -l*g + 25 = g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 - 0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314 + 591. Suppose 0*w + u = 3*b - 4*w, -w = 3*b - 257. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 + 61170*j - 49434363 = 0. What is j?\nAnswer: 843, 19547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -112021110?\nAnswer: -112021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 28. What is the nearest to t in -2\/5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 716027\/8 - 89503. Let q = -1\/15 + -3\/5. Which is the nearest to -0.18? (a) o (b) 0 (c) q (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddw when four letters picked without replacement from {w: 2, d: 16}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5320 and 2280.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50270 + 6609. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 80 (b) 3425 (c) -1\/4 (d) 2\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13485 is divided by 775.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 24*c**2 + 26*c - 43004. Let r(y) = 2*y. Calculate r(d(j)).\nAnswer: 48*j**2 + 52*j - 86008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 12. Let i be h(-8). Let j = 47 - i. Solve 21 = j*x + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f. Let y(p) = 7866*p**2. Determine j(y(x)).\nAnswer: 23598*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 23*s**2 - s - 6*s**2 - 8 + 5*s**2.\nAnswer: 22*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a meter in millimeters?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-9) - 3)*40\/1260*(-9)\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:24 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -40164*m**3 + 26773*m**2 + 107106*m + 8 = 0. What is m?\nAnswer: -4\/3, -1\/13388, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llldvvlddvlvl. Give prob of picking 2 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 4900441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3259, -6731, -10427, -14353, -18515?\n\"Answer: -o**3 - 106*o**2 - 3147*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 334*c**2 - 2*c - 101*c**2 - 1112.\nAnswer: 233*c**2 - 2*c - 1062","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-26) + (-464)\/(-312). Let v be 2\/4 - (-161)\/(-14). Put -1, n, v in descending order.\nAnswer: n, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 4:24 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 1 (c) 3 (d) -41 (e) 3205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 34 - 20 = 0. Suppose 5*t - 2*w = 2*w + 71, 0 = 2*t + w - i. Let j be -1 + -3*244\/(-6). What is the highest common factor of j and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3853, -7704, -11555, -15406, -19257, -23108?\nAnswer: -26959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 99039.68 millennia?\nAnswer: 99039680","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103.43 in 5, 2, 0.04, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/20101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 281392751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 414 - 259. Let s = r + -155.08. What is the nearest to -0.2 in s, 0.2, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*f = 15, f + 38 = -4*a - f. Let z be a\/18*1455\/(-10). Let c = z + -64. Put -5, -1\/6, c in decreasing order.\nAnswer: c, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24120 + 24224. Sort 0.1, 0.5, -0.1, a, -2 in increasing order.\nAnswer: -2, -0.1, 0.1, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -407164742?\nAnswer: -407164737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5*p - 5. Let v(f) = -f + 3. Let o be v(2). Suppose u = -5*n + o, 0*u = 3*u + 3*n - 15. Give b(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/361 and 41\/76?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let a be -5*((-3)\/(-5) - j). Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 81840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 4*j + 2*j)*(10463 - 6463 - 9578)*(-2 + 1 + 0)*(-3 + 1 + 0) in the form r + c*j and give c.\nAnswer: 11156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/((q*q**6)\/q)*q\/(q**(-1\/3)*q*q))\/(q*q*(q\/(q\/q**0))\/q*q)**18*(q\/(q*q**(-2\/5)))**(2\/31)*q**(1\/3)*q\/q**(2\/23) assuming q is positive.\nAnswer: q**(-410629\/10695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -4)*(-6)\/(-3). Let u(s) = 7*s + 3 + g + 0 + 1. Let f be u(3). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 26*j - 9. Let h be m(-9). Suppose -11*l + 3*l + 1232 = h. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750432 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*s**4 + 8*s + 1 wrt s?\nAnswer: 2508*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -0.3, -60, -9, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 2*y - 2. Let j be c(1). Suppose o = -s + 3, -j*o + 16 = s + 5. What is the greatest common factor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202001110 (base 3) to base 7\nAnswer: 202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375.7 - -376. Sort 85, x, -0.4 in ascending order.\nAnswer: -0.4, x, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151070 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -1293, -2114, -3053, -4122, -5333?\nAnswer: -6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*k**3 + 2*k**2 - 2*k - 105 wrt k.\nAnswer: 1314*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 167, 545, 1281, 2495?\nAnswer: 4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*t = -439*t - 57. Suppose -440 = 11*l - t*l. Let y = 8 - -11. Calculate the remainder when l is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-368\nAnswer: 110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14169*j + 37878*j + 26104*j.\nAnswer: 49813*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -9. Let y be (-3)\/(-6)*m + 2. Suppose -70 = -y*b + 2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = -5*t + 35, -11 = -3*p - t. Let d = 3 - p. Calculate the lowest common multiple of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**3 - 2*z**2 - 9*z + 9. Let a(x) = 4*x**3 - x**2 - 6*x + 6. Let o(f) = 8*a(f) - 5*n(f). What are the prime factors of o(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -304, -666, -1172, -1822, -2616?\nAnswer: -3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -2\/7, 13, 18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -284*n**5 - 12*n**2 + 3*n + 652. Find the second derivative of z(t) wrt t.\nAnswer: -17040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55861 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*q + 268 = 1. Solve -42*o + 46*o = -q*z - 6, 0 = 3*z - o + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35550, 71561, 107584, 143613, 179642, 215665?\nAnswer: 251676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2742)\/(-336) - (-8)\/(-28). Let j = -53\/8 + q. Let w(n) = -2*n - 4. Let m be w(-3). Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 8*u - 4. Let x be r(-6). Suppose -144 = -4*v + x. Suppose -l + 2*d = -v, 0*d = -5*l + d + 169. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, c: 3, h: 4}. What is prob of sequence hhm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6 - ((-17 - -20) + -2 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 + 147. Solve 0 = -4*s - 2*q - 18, -5*s + h = -3*q - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 + 3491*m\/4 + 26295\/2 = 0. Calculate m.\nAnswer: -15, 3506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180*g**2*q*s**3 - 2*g**2*q*s**2 - 84*g**2*s**3 - 2*g*s wrt q?\nAnswer: 180*g**2*s**3 - 2*g**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 129*o**3 - 3775511*o**2 + 2997518205*o - 5979933350 = 0. Calculate o.\nAnswer: -2203, 2, 1165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3336 by -1668.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 60458*p + 1450984. Determine s(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 84*f - 2 = s + 5, 0 = 7*s - 4*f + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 1\/4*h**4 - 7\/3*h**3 + 5\/2*h**2 + 7*h - 3. Give d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 529*s**7\/168 - 437*s**6\/120 - 11*s**5\/10 - s**4\/12 - 80*s + 4. Factor w(z).\nAnswer: z**2*(z - 1)*(23*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3, 4*t - t - 171 = -3*l. Suppose 3*u - t = 56. Let x = u - 26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + u**3 + u**3 - 2*u**2.\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106.35 - 102. Let m = 0.65 + q. Let s = -11 - -10.7. Which is the fourth smallest value? (a) 0.2 (b) 0.3 (c) s (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((15\/(-25))\/(-3))\/(4\/8). Let y(w) be the first derivative of 0*w + 1\/10*w**4 - 2\/5*w**3 + s*w**2 - 9. Solve y(k) = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.039 or -464?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, n: 2, y: 3}. Give prob of sequence ddd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 269707600 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11670 + 11626. Which is the nearest to -3? (a) 0.2 (b) q (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 8*z - 5. Let b be k(-6). Let q = b - 19. Factor 9*l**2 - 2*l + q*l**3 + 3*l**4 - l - 9*l**3.\nAnswer: 3*l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-147)\/(0 - -1 - (-160)\/(-144)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-23 - -6 - -22) + (88 - (0 + -2))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 - 6*g. Let o be j(-5). Solve -o*b + 13 + 1 = 4*t, 3*t = b + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h + d + 6, -2*h = -4*d - 18. Let k = -8 - -10. Which is the closest to h? (a) -1\/4 (b) -3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 3*n - 4. Let f(o) = o. Let w(z) = -z**2 - 228*z - 3586. Let j be w(-17). Calculate j*q(r) - 4*f(r).\nAnswer: 2*r**2 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056030655 rounded to 7 decimal places?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n - 2. Let u be g(-4). Suppose -9*z + 11*z - 6 = 0. Factor 0*m**z - 4\/7*m**u + 2\/7*m**4 + 2\/7 + 0*m.\nAnswer: 2*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 90 = -17*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -444*c**3 - 2*c**2 - 2*c + 1. What is the tens digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 133, 265, 413, 571, 733, 893, 1045?\n\"Answer: -z**3 + 14*z**2 + 97*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -78. Let m be (2 - 4*-2) + (j - -12). Calculate the highest common divisor of m and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b = -469*b - 135*b - 285*b - 101654 for b.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101101010000001 + 11?\nAnswer: 1000101101010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 10:55 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2\/3 (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 373*a**2 - 7*a - 6. Let q(m) = -1864*m**2 + 34*m + 28. Give -3*q(k) - 14*u(k).\nAnswer: 370*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*n - 15, 3*n + 5 = -p - 3*p. Let l = -0.2155 - -0.1555. Which is the closest to l? (a) p (b) 0.3 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 11*m - 48*m + 11*m - 8*m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/4)\/(1\/(-4)). Let d be (-285)\/(-6)*x\/(-5). Let z = 8 - d. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*s - 42, -2*y - 3*s = -7*y - 43. Let m be 261\/12 + (-2)\/y. What is the highest common factor of 44 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351, 4100, 8551, 13002, 17453?\n\"Answer: 4451*p - 4802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010000011 (base 2) to base 3.\nAnswer: 2222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + r - 1136 = 5*r, -3*r - 1698 = -3*k. Suppose -9*h = -3*h - k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 6*n - 9. Let x(d) = 3*d**3 + d**2 + 5*d + 10. Let w(s) = 5*m(s) + 4*x(s). Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = -11. List the prime factors of 15\/(3 - 14\/q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 2. Let s be y(-10). Let t be 68\/(-10) + 1\/(-5). Let i = t + s. Calculate the greatest common divisor of i and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -7*x**4\/24 - x**3\/6 - x**2. Suppose 2*l + 0 + 6 = 0. Does 9 divide q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5652709 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -65. Differentiate 37 - u - 189*t + t**2 + 200*t with respect to t.\nAnswer: 2*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 20 - 45276*b**2 + 45275*b**2 + 0*b + 6*b. Determine i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957*g - 26 = 944*g. Put -8, 22, g in descending order.\nAnswer: 22, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 307\/1870 + 3\/170. Let u be 18 - 32*13\/26. Put 11, u, n in ascending order.\nAnswer: n, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + -4 + 4) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*(m*m\/(m*m*m**(2\/5)))\/m*m*(m**(5\/4)\/m*m)\/(m*m\/(m\/((m*(m\/m**(3\/4)*m)\/m)\/m)*m)*m*m))**(-21) assuming m is positive.\nAnswer: m**(882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46 + 7 + 18)*(2*i**3 + 6*i**3 - i**3)*(1 - 1 + 2*i) to q + h*i**4 + c*i**2 + z*i + d*i**3 and give h.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75325 is divided by 10171?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.398 - -15.06691. What is k rounded to three decimal places?\nAnswer: -0.331","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*p + 33, 39 = 2*p + 3*p + 3*d. Let j(c) = -p*c + 2*c - 2*c. Let a(o) be the first derivative of -2*o**3\/3 - 3. Give j(a(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(28*-2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23722905707+236\nAnswer: 23722905943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + h = 2, -11*x + 2*h = -14*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1610256 divided by 33547.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (618\/(-1854))\/(15\/(-621)*(-12)\/10).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -544*b**3 + 544*b**3 + 1 - 3*b**2 + 6*b**4 + 4*b to the form m*b**2 + q*b**4 + f + j*b + y*b**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29947, 29885, 29823, 29761, 29699, 29637?\nAnswer: 29575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 6 + 5 + (-1484)\/2. Round h to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 3 + 3 - 2*a**2)*((-4 + 14 - 13)*(a - 4*a + a) + a - 2*a - 2*a + 4*a - 4*a - 2*a + (-a + 6*a - 3*a)*(3 - 1 - 4) - 5*a - 5*a + 11*a).\nAnswer: -2*a**5 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 227, 1559, 2757, 3821, 4751, 5547?\n\"Answer: -67*i**2 + 1533*i - 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 22*b + 68. Let g be q(7). Differentiate -77 - 72 - g*c**3 + 8*c**3 + 12 - 13*c**3 with respect to c.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 46*s - 126. Give o(-50).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.65 and 19235.\nAnswer: 19239.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -5)*(-26)\/(-3). Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/232 and -61\/203.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) -22 (c) 3\/5 (d) -16 (e) -41\/6 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 547.0019 - 548. Let q = j + 1. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382.7 - -379.7. Which is the third smallest value? (a) -4 (b) -33 (c) v (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 168*w**2 - 119*w + 119*w. Let c be 9\/12 + (-4)\/(-16). What is the tens digit of v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*d + 22*d + 105*d + 4*d - d - 5*d + (-1 - 1 + 0)*(4*d - 5*d + 2*d) + 0*d - d + 2*d - d + 2 - 2 - 2 + 2 + d.\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23071369?\nAnswer: 23, 1003103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10117, 10917, 12257, 14143, 16581?\n\"Answer: n**3 + 264*n**2 + n + 9851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/5 - 5*z**2 + 13*z. What is the first derivative of r(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/2 - 9*v**4\/2 + 7*v**3 + 17*v**2 - 15*v\/2 - 25\/2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 2638*u**2 - 2640*u = 0 for u.\nAnswer: -1320, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861573278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 32\/25, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i*m*v**2 - 5*i*v - 6*i - 861*m*v**2 + 27*v**2 wrt i.\nAnswer: 17*m*v**2 - 5*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -76, -8.\nAnswer: -76, -8, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21679029 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 632188283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + 26\/(-42). Let z = 1210.1 - 1210. Let v = -0.33 + 0.03. Which is the nearest to z? (a) -1 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51019154*f**3 - 51019155*f**3 + 102038307*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73828317429140 - -73828257321846.30000045. Let c = t - -60107292. Let a = 1.7 + c. Round a to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:40 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10, -317*j + 321*j - 4*r = 12. Put 7, j, 8 in increasing order.\nAnswer: j, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11158 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a92 (base 15) in base 6?\nAnswer: 1255315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8156038 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 0.2, 2\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2141, 4298, 6461, 8630, 10805, 12986?\nAnswer: 15173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(700\/42))\/(-5 - (-202)\/40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25748171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56962, 56963, 56920, 56815, 56630, 56347, 55948, 55415?\nAnswer: 54730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 + 2.2. Let k = -5 + 9. Let z be 8\/5 + (-9)\/15. What is the closest to z in -4, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20473736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o - 195 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.51 + 1.51. What is the closest to 0.1 in 10, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -1 (c) -131 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 208 - 204 = 0. Let n be t + 1 + 15\/(-3) + 12. Solve 5*p - 4*a - n = 0, 0*p + p - 4*a + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3526, -3533, -3542, -3553, -3566?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -24. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 1, u: 5}. What is prob of sequence uuuq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*m + 35, -5*y - 2*m + 1 = -14. Suppose -3*w = 2*w + y, 3*i - 2*w - 20 = 0. Calculate the remainder when 8 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 42 - 30. Calculate the lowest common multiple of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8.2. Let s = 104 - 103.9. Let h = -6 + 4. What is the nearest to 1 in j, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**3 - 3115*i**2 - 17390*i - 14265 = 0 for i.\nAnswer: -9\/2, -1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Suppose -6*i = -8*i + 5*i. Let a(z) be the third derivative of 1\/30*z**5 + 0 + 0*z + i*z**3 + 0*z**4 - 4*z**2. Give x(a(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8426 and 34870.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 9*y = 0. Is y != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*f + 4*f - 4614 = 0, -4*f + 4596 = 4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0829867629 and -467.\nAnswer: -466.9170132371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)*j\/(j*j*j*j**(1\/9)*j)*((j**2\/j)\/j)\/(j*j**(1\/7)) assuming j is positive.\nAnswer: j**(-599\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*91.122.\nAnswer: -455.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 5768.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n*n)**(22\/3))**(-36) assuming n is positive.\nAnswer: n**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/1785 - b**6\/17 - 7793*b**2. Solve x(r) = 0.\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3 + 0 - 5 + 1. Let w(h) = -h + 7. Let z(m) = -5*w(m) - 30*x(m). Let r be z(2). Solve -3 = r*n + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u**2 - u - 1. Let n be y(-3). Let c(w) = n*w - 2*w + 548*w**2 - 550*w**2. Let h(m) = 11*m**2. What is c(h(d))?\nAnswer: -242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 24. Let f be y(-26). Let i = 4 + f. What is the remainder when 2\/(-6)*(-13 + -2 + i) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g**3 + 5*g**3 - 4*g**2 - 3*g**3 + 6*g - 2 - 3*g**3. Let r be ((-10)\/8)\/((-2)\/(-8)). Give s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(-6 + 6). Suppose -3*s = -0 + 18. Let l(o) = -o - 2. Let m be l(s). Solve 4*a - m*j - 16 = z, -2*j - 3 = -a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyymyyyymyyyyymmy. What is prob of sequence mmm?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 less than 11374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/1 - (-32)\/(-48). List the prime factors of 52 + 0 - (m + 4 + -4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4.4.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -7, 53.\nAnswer: -7, 33, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246*n - 2750 - 1432 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/2 - 3*x**2\/2 - 6*x. Calculate r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 742808.3 decades?\nAnswer: 7428.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:00 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1080 and -34\/268745.\nAnswer: 58048920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/786880 and 69\/98360.\nAnswer: 786880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 7*l**2 - 11*l + 5. Let p be r(6). Let h be (-1335)\/(-9) - (-7)\/(-21). Let d = h + p. What is the remainder when 201 is divided by d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + q = -43, -c - 3*q - 14 = -0*q. Suppose -4*a = -88 - 64. Let t = a + c. Calculate the highest common divisor of 135 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 745 = -c, t + 2*c - 7*c = -275. Round t to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616\/96 + -1 - (-21)\/28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -207*182\/(-936) - 10\/8. Let l be 6*(-2)\/(-4) + 0. Calculate the highest common divisor of o and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.01, 5, -8\/9, 2\/21, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750460199?\nAnswer: 101, 7430299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1716, 0.2, 5 in increasing order.\nAnswer: 0.2, 5, 1716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 7\/3 - (-2876)\/12.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 222. Let q be t(0). Find the common denominator of 49\/2 and q\/(-8) - 2 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*a - 36, 0 = -3*a - 129 + 111. Solve -12*n + 2*y + 2 = -p*n, 4*n - 14 = -3*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, 4, -2, -3.\nAnswer: -3, -2, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23. Suppose p = -2*n + 758 - 278. Suppose -4*w - b = -n, -b + 120 = 2*w + 2*b. What is the remainder when w is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcc when four letters picked without replacement from {c: 4, z: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002027794484 to 7 decimal places.\nAnswer: -0.0020278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 2*n + 2. Let q(x) = 4*x**3 - 9*x - 9. Let p = -34 - -30. What is p*q(d) - 18*m(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -35*s + 208. Let j be y(6). What is the nearest to 4\/7 in 2\/15, j, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 6*q**5\/5 - 851*q. Let u(o) = 121*o**3. What is 11*b(k) - 2*u(k)?\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/14 + (-18)\/42. Let f = 8 + l. Suppose 21 = f*v + 9. Solve 0 = 3*p + v*a + 2 - 11, 0 = -5*p - 4*a + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43396 from -0.1514.\nAnswer: 43395.8486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*v**5 - 5*v**4 + 37*v**2 + 155554*v wrt v.\nAnswer: 2320*v**3 - 60*v**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:10 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6764\/(-16198) + (-20)\/(-35)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -651718?\nAnswer: 651721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 342 - 324 = 3*s, 2*o = -5*s - 1. Which is smaller: 2\/313 or s?\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -8686?\nAnswer: -4343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.3 + -35. Which is the closest to 1? (a) 0 (b) -1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q - g = -3, g = 5*q + 3. Which is the third biggest value? (a) -4 (b) -3 (c) q (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, -245, 186, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 30*j**2 - 174*j + 4. Determine y(-9).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2230200 and 613305?\nAnswer: 24532200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 - 2*p**2 + 16*p + 6. Let u(m) = -5*m**3 - 2*m**2 + 15*m + 5. Determine -6*s(y) + 7*u(y).\nAnswer: y**3 - 2*y**2 + 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.69069\nAnswer: 3.38138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0306 and -0.04.\nAnswer: -0.001224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 12*y**2 - 10*y. Let a be g(11). Let k be (3 + 0)*(-4 + a). Solve -3*b - 3*f = -7*b - k, -f = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -17, -32, -65, -122, -209?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26009120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/11 and 38\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1845\/120*82\/(-93). Let v = d + -37\/31. What is the common denominator of v and 17\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*120\/252*-1*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*d + 342, -4*v + d = 4*d - 470. Let b be 0 - 2 - (-3)\/1. Let p be 0 + 1 + b - -27. What is the highest common divisor of v and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose m*k = -3*k + 55. Let w = -20 - -51. What is the remainder when w is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2663 by -16806.\nAnswer: -2663\/16806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -164db (base 16) in base 15?\nAnswer: -1c105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(2*s**3 + 3*s**3 - 2*s**3)*(-5*s + 4*s - s).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 4*h + 12, -3*w = -h - 9. Suppose -5*q - 5 = -0*q. Let b be ((-30)\/(-6))\/(q + 2). Sort -5, b, w in decreasing order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1549406981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23923.3 + 27278. What is n rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*h - 13, -g + 13 = -7*h + 2*h. Suppose 0*m + 6 = 2*m. Solve -g = -m*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 982 = 232. Let x = -235 - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10392543 > 10392539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275973\/4405 + 44\/881. What is the nearest to 2\/5 in -3, 2, -2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/57 and -93\/190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104034 (base 10) to base 4.\nAnswer: 121121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 180914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700277163 to the power of 1\/2, to the nearest integer?\nAnswer: 26463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*15\/(-10) - (-3 + 0). Suppose 26*l - 24*l - 40 = d. Solve -21 = x - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*-2*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8459*n**3 + n**2 - 33*n - 527135 wrt n.\nAnswer: 25377*n**2 + 2*n - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-130)*-10*(-10)\/(10\/7).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-20))\/(8\/20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -717, -716, -715, -714?\n\"Answer: y - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22*(2 - 5\/5). What is the units digit of n - 3\/(12\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 29*l + 37. Is i(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3714740594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*a, -c + 4*a = -6*c. Suppose c = h - 15 - 10. Suppose -20 = -5*t, -2*t = 2*p - p - 21. What is the remainder when h is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-27*(-4)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.07784 millennia in months?\nAnswer: 720934.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14757 - 48*i - 14757.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) 4401\/5 (c) -2 (d) -0.1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-12))\/(-2))\/((-67)\/2211).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 25*c**2 + 15*c - 64. What is the units digit of k(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126438299.\nAnswer: 13, 17, 61, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 0)*(-8 - 1 + 2)*(3*a - 2*a + a)*(3 - 1 - 1)*(-a - 2*a + 2*a)*(a + 2*a - 5*a).\nAnswer: 168*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + -10 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -2*g + 1\/6*g**4 + 0*g**2 + 0*g**6 + 1\/14*g**7 + 0*g**3 + 0 + 0*g**5. Find the third derivative of n(v) wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004102261 to five decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 5*z**2 - 255*z**3 - z**2 - 272*z**3 + 740*z**3 - 209*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1605257387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 23270, 18, 34 in descending order.\nAnswer: 23270, 34, 18, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 28*v - 92. Let f be q(4). Which is the third biggest value? (a) 5 (b) f (c) 1 (d) -1\/8 (e) 13\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723833 + 239437 = -9*u. Round u to the nearest 1000.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 4. Let v be i(-7). Suppose -v + 69 = 4*s. Let m = 55 - 31. What is the remainder when m is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -32) + -523 + 503\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 18*p**2 + 19*p - 11. Is u(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*k**2 - 29*k**3 + 19*k**2 - 9*k**3 + 188*k**2 - 5*k**3 wrt k.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 take away -8.1?\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 9155650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -602*n - 112. Give g(-1).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-32)\/(-4))*(2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y - 8 = -49*y. Sort -2, -9, y in decreasing order.\nAnswer: y, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2\/1) + 3. What is the remainder when 0 - (-2 + (-2)\/x) is divided by (-9)\/(-5) + ((-4)\/(80\/(-44)) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -38. What is the remainder when r is divided by (-2 - (5 - 7))*1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*f - 18, 3*f + 29 = -0*f - w. Let c = f - -18. Let l be 50 + 3 - -9*1\/3. Calculate the highest common divisor of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*i**2*t**3 + 2*i**2*t**2 + 9*i*t**3 - 50*t**2 - 59 wrt t.\nAnswer: 1014*i**2 + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 greater than or equal to -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5603, -22367, -50299, -89393, -139643, -201043?\n\"Answer: i**3 - 5590*i**2 - i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -31*d**2 - 762*d + 3824. Calculate g(5).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 108 - 7 = 56 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 1. Let r be s(-1). Suppose r*v + v = 20. Suppose -v*p + 7*q + 6 = 4*q, -3*q = 5*p - 24. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(3 - (-2 - -3)). Let g(v) be the second derivative of -1\/3*v**3 - v - 1\/12*v**4 + l - 1\/2*v**2. Determine p so that g(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93267 and 104112?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -91*l - 96. Give s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35034 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -6 - 32) + (5 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*t**3 + 117*t**3 - 41*t**3 - 2*t**3 + 2*t**3 + 2*t**3 + (5*t**3 - 3*t**3 - 3*t**3)*(2 + 0 - 1) as v*t**3 + h*t**2 + l + m*t and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15413523 (base 6) to base 4.\nAnswer: -2011122123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/48 and -4 + 3\/(-240)*96805\/(-342).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0329752667 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwu when three letters picked without replacement from {c: 2, l: 1, d: 1, w: 1, u: 1, f: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 2:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15\/7, 6\/7, 5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 8*w - 4. Let y(o) = 5*o**2 + 14*o + 7. Let a(k) = 7*c(k) + 4*y(k). Let t(g) be the first derivative of g**2\/2 - 1. Calculate t(a(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-1617)\/176)*154\/11.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 2*m + m)*(-1 + 1 - m) + (-5*m**2 + 4*m**2 + 2*m**2)*(41 - 7 + 38) in the form i + g*m**2 + c*m and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 384361 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/4 - 219*w**4\/8 + 2049*w**3\/8 - 108*w**2 - 243*w\/2 = 0.\nAnswer: -1\/2, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s - 1. Let v be b(1). Let z = v - 6. Let t be (-1)\/(-2) + (-1)\/(-2). Which is greater: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417358 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-286)\/55*((-30)\/9)\/10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3 + 13 = 2*h, 5*h - 13 = -2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q. Suppose -2*t + 2*c - 12 = 0, -4*t = -c - c + 14. Let r be k(t). Let d be -2 + -2 + 11\/r. Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 9) + 37 + (0 - 10) - 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 686010 divided by 137202?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.78 + 0.78. What is the closest to i in 2, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 - 13 = 0. What is the least common multiple of h and 147\/12 - 1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 205, 10, -3, 4, 5 in decreasing order.\nAnswer: 205, 16, 10, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -168*y - 16918. Give g(-100).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-718)\/6821)\/((-23)\/(239476\/8)).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*h = -24, -13 + 3 = -2*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8003 and 166.\nAnswer: -1328498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*z - 3084 = 496*z. Is -257 not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + sqrt(252)))**2 - sqrt(252) - 3*(sqrt(252) + -1)) + 4 + 0 + sqrt(252) + sqrt(252) + 0.\nAnswer: -444*sqrt(7) + 9115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*t - 0*t - 537, 5*y - 680 = 2*t. Is y a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 49 = 3*x, -2*b - 5*x - 97 = -4*b. Calculate the remainder when b is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 48*(0 - 11\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74418\/632)\/((-99)\/2) + (-21)\/(-9)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-10)\/(-4)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 77*y**2 + 986*y + 3. Calculate t(-13).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24654.7755 less than -94907?\nAnswer: -119561.7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/360 + n**5\/60 - n**4\/4 + 5*n**3\/6 - 6*n**2. Let y(q) be the first derivative of d(q). What is the units digit of y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 214536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -0.03 (c) 2\/253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01673799931691 less than -5?\nAnswer: -4.98326200068309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220401616 and 43760.\nAnswer: 8752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -769 by 101553.\nAnswer: -769\/101553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8 - 17 - 11 + 36 - 2*v. Let k(z) = -1525*z**2. Determine k(i(n)).\nAnswer: -6100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12*(-18)\/2)\/(2\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56034870 and 214146.\nAnswer: 168104610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -13 - 33 - -1) + (16 - 8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1003?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15663381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373456495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = 1195 + 11285. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooololl. Give prob of picking 3 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-60))\/((-44)\/(-99)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 3*m**2 - 28*m + 91. Let x be a(5). Solve w = -2*r + x, -r + 6*r - w = -1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - -218?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*k + 5*k + k)*(2 - 2 - 2) + 9*k + 6 - 4 - 3)*(5 - 4 + 3)*(2 - 4 + 1).\nAnswer: -28*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*s + 19 + 24, 0 = 3*a - s - 31. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3 + 53 + -2 + (-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhjbrbmbrbebbb. Give prob of sequence mh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 20. Which is the closest to -1? (a) v (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76234 or -76161?\nAnswer: -76234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22945*m**2 + 114683*m + 198. Determine o(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 1, n: 4, y: 4, d: 3}. What is prob of picking 3 n and 1 d?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8470.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = 0. Suppose z*b - 2*b = -6. Solve -2*r - c - 5 = 4*c, -r + b*c = 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1688282842 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193\/16 or -24\/17?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28791\/(-1828)*(-2)\/14\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3309*d**2 - 3258*d**2 + 784*d**2 + 1016*d**2 + 4405*d**2 + 3237*d**2.\nAnswer: 9493*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 58188?\nAnswer: -58187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1\/(-2) + 176\/32. Suppose g = -c, -78*m + 5*c + 13 = -81*m. Let x(d) be the first derivative of d**4\/4 - d**3 - d**2\/2 - 5*d - 1. What is x(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46*7\/(-4))\/((-15960)\/(-4560)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c6 (base 14) to base 7.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -284, -428, -572?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 100 = t + 5*a, 4*a = 0. Suppose -5*d = u + 12 + 8, u - 4*d - t = 0. Let o be 5*1*(2 - 0). Solve -w - 30 = u*n, -2*w = -3*w - n - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -25. Suppose -a + 35 = -x. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 8. Suppose -22 = -a*i + 116*s - 118*s, s = 0. Solve i = -3*z + 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 42 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 + -205. Let o be ((-4)\/14)\/(24\/x). Which is greater: o or -18\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3541751, 3541755, 3541757, 3541757?\n\"Answer: -j**2 + 7*j + 3541745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 53*x - 297. Let v be o(-44). Solve -v*d - 48 = -91*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -576*k + 621 - 12141 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832))*1.\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/15)\/(((-1218)\/(-140))\/(-29)). What is the fourth biggest value in -0.1, -14, -2\/23, s?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*t = 0, -j - t - 2*t = 8. Let u(y) = -8227*y - 2 + 0 + 3 + 8226*y. Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*d - d**3 - 38*d + 4*d**4 - 2*d**2 - 1 as q*d**4 + o + b*d + h*d**2 + y*d**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/28 and -69\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -56 (b) 3 (c) 5 (d) -2 (e) -6\/55 (f) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3)*-5 + -1)) + sqrt(24)\/(-1*sqrt(8)) + 2*((sqrt(24) - sqrt(240)\/sqrt(10))*5)\/sqrt(8))**2.\nAnswer: 10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 26*n - 136. Calculate the smallest common multiple of v(-19) and 404.\nAnswer: 9292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/7))\/(d**(-3)\/d*d)*(d**(-11)*d)\/(d*d\/d**(-1\/4)) assuming d is positive.\nAnswer: d**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-52)\/(-39)*(-1374)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221302510*j**6 + 302*j**2 + 1233*j + 10 wrt j?\nAnswer: -26556301200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349164290 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from bbbr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 453*j + 11713. What is b(-26)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 1:50 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, 28, 715 in descending order.\nAnswer: 715, 28, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -o, t - 12 = -5*o - 2*t. Suppose 0 = 4*i - o - 4. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -92, -275, -532, -863, -1268, -1747?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18865 = 19063. What is the lowest common multiple of w and 1656?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2. Let h(m) = m**2. Let c be ((-3)\/4)\/(3\/(-8)). Let p(d) = c*r(d) - 9*h(d). Let s(n) = -2*n**2 + 4*n**2 + 3*n - 3*n. Determine s(p(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 + 104*f - 275*f + 150*f to o*f + i and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 612 + -404. Find the third derivative of 208*z - 12*z**2 + 9*z**4 - y*z wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 19 = -28*a. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 2. Let r(w) = 4*w - 1. Let q(y) = -g(y) - r(y). Let h(x) = x + 5. What is -2*h(n) - 10*q(n)?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**2 + 641*z - 166. What is i(-38)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-42)\/6)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 12*m - 9*m + 77, -y = -13*m + 9*m + 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1618*q**2 + 1938*q + 1352765.\nAnswer: 3236*q + 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7302 is divided by 359?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 9}. What is prob of picking 3 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228367591?\nAnswer: 61, 79, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:15 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 8 = 0. Suppose m - 16 = -v*t, -4*m - 39 = -5*t + 1. Calculate the highest common divisor of t and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmllb. What is prob of sequence bmq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.043 + 90.957. Let n = h + -138. Let f = 38 + n. What is the second smallest value in 0, f, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11325\/(-180)*-6)\/(1\/2). Are m and 756 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*o + 106 - 31. What is the remainder when 16 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1454412 + 2?\nAnswer: -1454410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/2925? (a) 2\/11 (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49.73*-0.1\nAnswer: 4.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttaattttt. What is prob of sequence aa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 209? (a) -8 (b) -9 (c) 3 (d) 1 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n + 94*n + 41565 - 41565.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = h + 2*h - 23, 2*o - 2*h - 6 = 0. Is 298\/8 - 2\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75261814 - -0.5.\nAnswer: 75261814.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27461, -1, 1, 3, 4, -3 in increasing order.\nAnswer: -3, -1, 1, 3, 4, 27461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 14 = 5*h, -290*h = -292*h - 2*a - 4 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 77 = -2*r + 105, r = -j + 185. Let v(w) = -2*w**2 - 11*w - 5. Let g be v(-7). Let i = j + g. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -15, -80, -201, -396, -683?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1155*g*m - 2*g*r**2 - 27*m*r**2 + 2*m*r + 119931 wrt m.\nAnswer: -1155*g - 27*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -52. Let w be (b + -6)\/(3\/(-9)). Solve w*m - 7 - 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-21)\/(-6) - 1). What is the third smallest value in z, 4\/5, 0.1, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(130)\/(sqrt(10) + -3*sqrt(10) + sqrt(10)) - (2 + sqrt(52))**2).\nAnswer: 9*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43845, -87681, -131513, -175341, -219165, -262985?\nAnswer: -306801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 - 1. Let o be j(3). What is the tens digit of 3 - o\/(4\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 9*s**2 - 22*s - 35. What is m(5)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f\/(f\/(f\/f**(-16\/5))))))\/f)\/f*f**(2\/51)*f**2*f\/f**(-20))**(-5) assuming f is positive.\nAnswer: f**(-6691\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -41*j - 3. Let x be p(-1). Let f be (x + 4)\/(1\/1). Let k = f + -31. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i - 8. Suppose 143 = 5*w - 2*k + 125, 2*w - 11 = -3*k. Let j(a) = 5*a - 7. What is w*u(o) - 5*j(o)?\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 690.4973 decades?\nAnswer: 6904.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 + 9*b**2 + 2896*b + 13. Let p(c) = -2*c**3 - 4*c**2 - 1451*c - 6. Give 6*g(t) + 13*p(t).\nAnswer: -2*t**3 + 2*t**2 - 1487*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5927000 rounded to the nearest one hundred thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-56)\/(-364) + (-175574)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18241 minus 4?\nAnswer: 18237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 370 + 371 + 373 - 1114.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*r**3 + 88378*r**2 + 1520632*r - 86.\nAnswer: -318*r + 176756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + 86. Let x = 21 - c. What is the remainder when 70 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681692483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 106*v**7\/105 + 113*v**3\/2 - 273*v**2. Differentiate u(s) with respect to s.\nAnswer: 848*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256 + 52024?\nAnswer: 51657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28) + -2)*-2)**2.\nAnswer: -800*sqrt(7) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3099663 and -59\/99.\nAnswer: 34096293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1955 and -21\/68?\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, i: 3, v: 3, x: 1}. Give prob of sequence xv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + k + 11 = 0, -v + k = 3*v + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 9*o**2 + 94*o - 10. What is the smallest common multiple of 91 and z(6)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 422 = 5*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8099 - 4057 - 4042 - 3615*p**2. Let r(t) = 3*t**2. Calculate u(r(c)).\nAnswer: -32535*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-1 + sqrt(468))*-4 - 5*-1*sqrt(468))**2 + -2.\nAnswer: 11698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -478430 (base 10) to base 5\nAnswer: -110302210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 4. Let j = -81 + 1055\/13. Which is the biggest value? (a) j (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*x + 89*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874019531 times -0.1?\nAnswer: 187401953.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 34*g**2 + 13*g**2 + 8*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00689884 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177266 divided by -2.\nAnswer: -88633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**2 - 26*h + 10. Let r be a(-6). Let x = -45 - r. What is the highest common factor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109883.8l in millilitres?\nAnswer: 109883800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47052.\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11169146846435 and -2.\nAnswer: 11169146846433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -3*(-4)\/6. Suppose j*u + 16800000 = 2*u. Suppose y - 4*y + u = 0. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 497 and 2807.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*11\/3146*-11\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:36 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n\/(n**(1\/12)\/n*n))\/n*n**8*n*n*(n**(9\/5)\/n)\/n*n\/((n\/n**(-3))\/n) assuming n is positive.\nAnswer: n**(583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -7.3. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 - 12*n**2 + 6*n + 12. Let m(s) = s**3 + 2*s**3 - 4 + 3*s**2 + s**2 - 2*s - s**3. Let r(p) = -5*d(p) - 14*m(p). Factor r(o).\nAnswer: 2*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u - 10*u + 15*u)*(45 + 0 + 15).\nAnswer: 1200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/(-2))\/((-18)\/(-312)). Let i be (n\/4)\/((-9)\/(-18)). Let p = i - -48. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30132 (base 5) in base 13?\nAnswer: b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -191 + 194. Solve -w*o - 20 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/45359?\nAnswer: -1\/45359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 97700*u - 2. Let p be l(2). Suppose -79398 + p = 4*f. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2*v - v)*(-11*v - 8*v + 14*v) + (v + 0 + 0)*(-v - v + v).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -15?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4\/23)*y))\/y**43 assuming y is positive.\nAnswer: y**(-985\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 4*a - 18. Let o(q) = q**2 + 2*q - 9. Let n(z) = -6*l(z) + 13*o(z). Let b(t) = 2*t**2 + 4*t - 19. Determine 6*b(c) - 13*n(c).\nAnswer: -c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -251*o + 251. Let l be x(1). Sort 6, l, -10.4 in increasing order.\nAnswer: -10.4, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 50*u + 1263. Calculate g(-26).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -3409, -3\/2, 6, -11, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1)\/sqrt(12) - sqrt(114)\/(sqrt(6) + sqrt(6)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a450718 + 2?\nAnswer: -a450716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -97*x - 47. Let h(j) = -j**2 - 32*j + 136. Let b be h(4). What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 267153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 276 and 1699.74725.\nAnswer: 1975.74725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (13 - 12733\/952)*-1*(-73)\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 - 53 = -2*i, 3*g + 3*g + 3*i = 99 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 - 7*t**2\/2 + 3*t - 3. Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4905 is divided by 115?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -596, -893, -1190, -1487?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -29. Suppose 3*v = -v + j*p + 43, p = -5. Solve 8*h + 2 = v*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let x(s) = 3*s + 2 - 7 - o*s. Give x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:11 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 701, 685, 659, 623, 577?\n\"Answer: -5*i**2 - i + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 2*v**2 - 5*v - 3. Let n = 8 - 11. Let s be t(n). Let o = s - -56. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 81.\nAnswer: -1, 1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -21 in increasing order.\nAnswer: -21, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533 divided by -1.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105, -187, -323, -513?\n\"Answer: -27*i**2 - i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let m = 2.6 - k. Let a = -3.40000091 - m. What is a rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/9 (b) 2\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*u**2*v - o*u*v - 2*o*u*x - o*u - 4*u**2*v*x - 6*u*v*x wrt u.\nAnswer: 2*o*v - 8*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w + 5. Let g be y(10). Let o = 134 + g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871212.\nAnswer: 2, 7, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1554*y = -5687*y + 442231 for y.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-26) - ((-3095)\/260 + 3\/(-12)). Let b(p) = 4. Let f(w) = 0 - 3 - 9 - w. What is y*b(j) + 4*f(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*f + 627 = 616, 5*f = 5*u + 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4991*u**2*x + 50*u**2 - 925*u*x - 4 wrt u.\nAnswer: 9982*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.2, 2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 + 2*n**3)*(-n**2 - 3*n**2 - n**2 + n**2 + 3*n**2 - 3*n**2 + (2*n + 0 + 0)*(-n - 1 + 1)).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 737 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/(-7) + 6\/(-14). Solve 2 = -3*v - b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21630639\/61 + -354593. Let z = n + -20380\/2013. Calculate the common denominator of -4\/27 and z.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/((168\/207)\/4) and -17\/556.\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88503 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*w - 59*w + 300. Let n = w - -79. What is the third derivative of i**3 + 47*i**4 - i**3 - 27*i**n + 31*i**2 wrt i?\nAnswer: 480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 9*f = 30. Suppose -f = 2*t + o, -5*t - 3*o + 8*o = -15. Let a = -223 + 2907\/13. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 2 + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280 - -293. Suppose n - 583 = -3*f, -10*f + b*f + 1184 = 2*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411802 and 15478?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnjnnnxjnjnnx. What is prob of sequence nxj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 369*d**3 + 71*d**3 - 196*d**3 - 5.\nAnswer: -494*d**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 278370, 278104, 277834, 277560, 277282?\n\"Answer: -2*f**2 - 260*f + 278632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 8*p = -225. Solve 5*u - p = 0, 3*u + 4 = 4*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -1. Suppose x = -t + 10. Find the first derivative of 0 + 3 - t*h + 4 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-544 - -600) + (-11 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**3*p**3*x**2 + 48*b**3*x**2 + 2*b**2*p**3*x**2 - b**2*p**2*x + b*p*x**2 - 48*p**3*x**2 - 2*p**3 wrt b.\nAnswer: -36*p**3*x**2 + 288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/4 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + d + d - 5*d + 4*d + 2*d + (1 + d - 1)*(-2 + 0 + 1) - 3*d + 2*d - d - d - 1 + 1 + 1431*d - 3839*d + 1397*d.\nAnswer: -1018*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 + c**2 + c - 1. Let o be f(-3). Solve 9 = 4*l - 3, 5*l = o*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -131 (b) 0.1 (c) 0 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**2 - 12*o + 41. What is v(-5)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1310 - -2370. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l + 14. Let b be h(5). Suppose 3*p + 3 = b*p. Solve -1 = q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/7 = 0.248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(10)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 22 = -6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 930*r + 2664. Is 42 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1410)\/(-7))\/(43\/602)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 169*i**2 + 57*i**2 - 53*i**2 + 321*i**2 + 2 as q*i**2 + k*i + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -133*k - 468. Let x(y) = 33*y + 104. Let r(u) = 2*t(u) + 9*x(u). What is r(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 20 + 8 = 0. Suppose -v = j*l - 2, -v = 2*v + 4*l - 6. Factor -4\/9*i + 14\/3*i**3 - 2\/9*i**v + 0.\nAnswer: 2*i*(3*i - 1)*(7*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(1\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhrrhrrhho. What is prob of picking 1 o and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**2 + 7*h - 10. Suppose -2*y + 7*y = 15. Let v be f(y). Let x = v - -167. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m**2 + 3*m + 5. Let k be n(-3). Suppose 1 = -5*g + 6. What is the closest to g in -0.3, k, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*f + 52 = 0, 2*f = 5*r - 0*f + 122. Let d(z) = -5*z - 36. What are the prime factors of d(r)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 2*q + 0*q + (2 + q - 2)*(1 + 4 - 3) + (-16*q + 7*q - 28*q)*(-2 + 0 + 0).\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 47343*p\/7 + 47340\/7.\nAnswer: 3*(p + 1)*(p + 15780)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from lplppppppp?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 993017 and 18931.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3667335 divided by -371?\nAnswer: 9885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 729 - 749. Let h(n) = n**2 + 19*n - 17. Let y be h(a). Solve 2*b + o + 1 = y*b, 5*b + 3*o = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511453814.\nAnswer: 2, 255726907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 12. Let c = -4 + x. Let l = c + 3.3. What is the closest to 0 in -0.5, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 19038552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011011 (base 2) in base 5?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = 2*b, 3*z - 16 = -4*b. Suppose z = -7*f - 11*f + 1764. Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100220102010022 - 11?\nAnswer: 100220102010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 45214576.\nAnswer: 587789488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*c + 4*j, 44*c - 20 = 40*c - j. Solve 86*l = 92*l - c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 36*t + 155. Determine y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 5. Let h be -4 + 0 - -7 - 2. Suppose -5*m + h = -19. Let w be y(m). What is the highest common factor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -178 - -281867?\nAnswer: 28169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 40*p + 2. Suppose 6*o = -6*o - 96. Let z be f(o). Which is the closest to z? (a) 0.1 (b) -1.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -3\/5, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 5*s**2 - 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054025626 rounded to five dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39850 - 0.65\nAnswer: 39849.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -142. Suppose q + 5*a = 73, v = q - 3*a + 2. Suppose -5*y = -5, 0 = -j + 2*y + 14 + q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18805864*d**3*s**4 - d**3*s - d**2*s + 32909*d**2 wrt s?\nAnswer: -225670368*d**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + (-51 + -2 - -24) + -22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*(-4)\/10)\/1)\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581, 558, 513, 440, 333, 186?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 28*n**3 + 12*n**2 - 45*n**3 + 18*n**2.\nAnswer: -17*n**3 + 35*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111110101011111 + -10101?\nAnswer: 10111110101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7171 - 7171.2894. What is p rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 542 by 7.\nAnswer: 542\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(931) + 1) + (5 + 4*(3*sqrt(2736) - sqrt(2736)))**2.\nAnswer: 932*sqrt(19) + 175105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 7. Let f(v) = 4*v - 6. Let q(p) = -6*f(p) + 5*i(p). Calculate the remainder when 36 is divided by q(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.3, 2\/13, -3, 0.5, 1 in decreasing order.\nAnswer: 18.3, 1, 0.5, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*x = 23 + 23, t + 4*x - 18 = 0. Let z(a) = a + 4. Let y be z(-7). Put 2, t, 0, y in increasing order.\nAnswer: y, 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1946*m + 40831. Determine k(-21).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1678450198 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 457 by 9.\nAnswer: 457\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (409 + 101 + 330)*(9*j**3 + 27*j - 27*j) to the form y*j + r + t*j**3 + l*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -401?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-6*n + 5*n + 2*n)*(5*n + 2*n - 5*n)*(-3 + 4 + 1)*(-3 + 4 - 3)*(-20 + 82 - 21)*(-2*n**2 - 2*n**2 + 2*n**2).\nAnswer: -656*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71824.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/24 - j**3\/6 - 2*j**2. Determine k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 15 - 7)*(5 - 5 + 2*o).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6871020501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + -22 + (-1 - 0) - 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 986 and -0.0464951?\nAnswer: -45.8441686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Suppose -2*a = -5*h - 2 - 15, 2*h = -10. What is the biggest value in i, -0.3, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1481 + -0.1519. Sort -1, 8, q, 5.\nAnswer: -1, q, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 - (7 - 22))) + 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*i - 54. Is i less than or equal to 4\/1185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1073377\/118059 + (-30)\/885 + (-5 - 4).\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816) - 2*sqrt(2816))\/(sqrt(20)\/(sqrt(5) + sqrt(5)*-2)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142865 by 36.\nAnswer: 142865\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = k. Suppose 33 = k*l - 12. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*d**6 - 4*d**4*z**2 + 19*d**2*z**2 - z**2 wrt d.\nAnswer: 18000*d**3 - 96*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 7984. Let h(q) = 2*q. What is y(h(n))?\nAnswer: -8*n + 7984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mmuudusvvvu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150\/208*(-6)\/9. Let k = -1\/52 + s. Let w = 1 + -0.6. Sort 1, k, w in descending order.\nAnswer: 1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 153007, 0 in decreasing order.\nAnswer: 153007, 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*m**5 + m**4 + 198*m wrt m.\nAnswer: -3000*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84594*o + 84590*o = -2*z + 196, 24*o - 174 = -3*z for z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-14 + 1 - -17)) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*(-21)\/861*-41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aatqjwa. What is prob of sequence atj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzoafazfoz. Give prob of sequence ff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:00 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*d**3 + 260*d**2?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 16*y**2\/9 + 88*y\/9 + 32\/3.\nAnswer: -2*(y - 12)*(y + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4386.6 + 4387. Sort 0.5, s, -765 in decreasing order.\nAnswer: 0.5, s, -765","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534945 divided by -1.\nAnswer: -534945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-1)\/w)))**12\/((w*w**(1\/2))\/w)**(4\/13) assuming w is positive.\nAnswer: w**(-314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 29 + -33 + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4797287*j**4 + 9*j**3*v**2 - 17287540*j**2*v**2 - 2*j*v**2 wrt j.\nAnswer: -115134888*j + 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/10 - 2*z**4 + 3*z**2 - 24*z. Differentiate c(i) with respect to i.\nAnswer: 6*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = -29*q. Let b(v) = -6*v**3 + v**2. Let m be b(1). Let p = 8 + m. Solve -3*l - 9 = -0*g - g, q = -p*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-19)*a**(-1\/22))**(-15\/2))**(-47) assuming a is positive.\nAnswer: a**(-295395\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 + 26535\/165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2 - 35*d + 15. Let f(b) = -2*b**2 - 5*b + 1. Let x(z) = 5*f(z) - l(z). Suppose 4*p - g + 46 = -0*p, -p - 19 = -4*g. Calculate x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5400742 divided by -58\nAnswer: -2700371\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3 - 15 - (-1 + -7)) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -28. Let x be ((-16)\/24)\/(2\/t). Suppose 0*a = -x*a + 25. Solve a*n - 9 = 5*h + 11, 2*n - 8 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/76*((4 - 2) + -94)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, 188, 464?\n\"Answer: 276*b - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 927620*n**3 + 4*n**2 - 7202318.\nAnswer: 2782860*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5870 and 6?\nAnswer: 35220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 24, 37, 52, 69, 88?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 1:50 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24429\/14 + 1743. Let g(m) = -2*m**3 + 3*m**2 - 2. Let j be g(2). Find the common denominator of ((-1)\/j)\/((-16)\/1212) and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 35. Which is the closest to h? (a) -4 (b) 1\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2 + 56*z + 11. Let l be x(-5). Solve -l*k = -25*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 42*p**2 - 62*p - 187. What are the prime factors of d(22)?\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 40504\/19689?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 150, 672 in increasing order.\nAnswer: -9, 150, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -96a73cc?\nAnswer: 96a73cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -196, -195, -194?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(2448) + sqrt(2448) - -2*sqrt(2448)*1)*-3)**2.\nAnswer: 793152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2 + 40*z - 9. Let b(r) = -14*r**2 + 69*r - 10. Calculate -4*b(i) + 5*h(i).\nAnswer: -9*i**2 - 76*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7276 is divided by 1206?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 3*d**3 - 2*d**3 + (-4 - 11 - 2)*(28*d**3 - 53*d**3 - 28*d**3).\nAnswer: 903*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/3*t + 1\/3*t**2 - 6.\nAnswer: (t - 18)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/13*2\/4*(-20)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - 2 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277864 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8274246 and 7185?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/3*b**2 + 2\/3*b**3 + 34\/3*b + 16\/3 = 0. Calculate b.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 7. Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13537110 divided by 23\nAnswer: -588570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t**(-10\/11)*t)\/t)**(8\/3)\/(t**(-25)\/(t**(-2)*t)) assuming t is positive.\nAnswer: t**(296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**5 - k**3 - k. Let s(q) = -q**5 - 14*q**4 - 29*q**3 - 4*q**2 + 29*q + 18. Let v(r) = s(r) - u(r). Suppose v(i) = 0. Calculate i.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 1. Let p(h) = -h**2 - 1. Suppose 15 = 3*z, 5*w + 30 - 10 = z. Calculate w*p(i) + a(i).\nAnswer: 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/60 - p**4\/24 + 5*p**3\/2 - 3*p**2. What are the prime factors of t(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 23*v + 28. Let u be x(-1). Suppose 0 = r - u*g + 3*g - 77, -r + 72 = 3*g. Calculate the remainder when 223 is divided by r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (28 - 15) - -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 12*m - 205 - 4*m + 1250 - 9*m in the form k + j*m and give k.\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/(-202)*(-34)\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -463 in -1\/10, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.021 + 0.939. Let c = -4342 - -4340.84. Let m = a + c. What is the second smallest value in 2\/7, m, -1, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 3*o - 36. Let a be y(23). Suppose -7*b = 20*b - a. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33873038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9244 + 9556. What is the closest to 1\/3 in -0.2, -5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.6 + -2.4. Let d = 12 + i. Let s = 49 - 48. Which is the nearest to d? (a) 0.5 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 78. Find the third derivative of -16*o**k - 19*o**2 - 27*o**3 - 66*o**2 wrt o.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7986309ml to litres.\nAnswer: 0.0007986309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23834902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193889610 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 138. What is the greatest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357042 is divided by 25499?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2084 - 545. Which is smaller: c or -2628?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 - 11*r**3\/6 + 33*r**2\/2 - 32*r. Let j be c(5). Solve -5 - 1 = -j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 10. Let j be u(10). Suppose j = -5*p - 6 - 94. Is 10 a factor of (-3)\/(3 + 64\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14230? (a) 2\/3 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(4)*3) - sqrt(63)\/(sqrt(3) - (sqrt(3) + sqrt(48))))\/(-3*sqrt(363) + 1*sqrt(12)\/sqrt(4)))**2.\nAnswer: 343\/147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.014 + -0.074. Let d = h + -0.88. What is the closest to d in -3\/8, -4, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c**2 + 131. Let t(u) = u + 72. Let i(f) = -24. Let l(n) = 6*i(n) + 2*t(n). Give a(l(b)).\nAnswer: -52*b**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n - 2. Let a(y) = -y. Let c(i) = 5*a(i) - g(i). Determine c(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 52620*b - 4.\nAnswer: -52620*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.789404 millilitres to litres.\nAnswer: 0.001789404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1579 = -1757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 77*b + 81. Calculate n(-2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, e: 2}. What is prob of sequence ee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 4 = 0. What are the prime factors of 0 + (0 - -2) - (q + -70)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**2\/2 - 31*j. Let i(h) = -3*h - 2. Let y(d) = -11*d - 5. Let c(q) = 7*i(q) - 2*y(q). Give 2*c(r) - 6*k(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*z**3 + 2259*z**2 - 164*z - 36.\nAnswer: (z + 18)*(6*z - 1)*(21*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-14))\/(38\/133).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -12.06. Round i to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-190470)\/175*3\/(-9))\/((-4)\/(-410)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40272.49 millilitres?\nAnswer: 40.27249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133996424749453 - -0.1?\nAnswer: -133996424749452.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303437, -0.7, -2\/11.\nAnswer: -303437, -0.7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9479.256 meters in nanometers?\nAnswer: 9479256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + 2*l**4 + l**4)*(2 + 2 - 1)*(9*l + 39*l + 0*l).\nAnswer: 720*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -153639 in descending order.\nAnswer: 4, -1, -153639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 36*n - 398. Is f(-25) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*m = -2, -5*m = 318*g - 319*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120445 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63643 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26622 and 2754?\nAnswer: 79866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -11, -3\/38, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43.3, 2\/5, -4, -2\/9 in decreasing order.\nAnswer: 43.3, 2\/5, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26047753 plus -0.1?\nAnswer: 26047752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46972)\/36 - (-86)\/(-387). Is -1304 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2415 - -2418. Calculate the remainder when 324 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127331.\nAnswer: 127331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -367 + 369. Let u = -7 + 12. Suppose -u*d - j*q + 35 = 3*q, -3*d + 5*q = -13. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/7 - 1178*u**3\/7 + 6*u**2\/7 + 3538*u\/7 + 2356\/7 = 0 for u.\nAnswer: -589, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 88 = -4*c, 7*c - 3*c - 5*b - 91 = 0. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k = 31*k - 5*r - 5, 3*r = -k - 7. Let s be (-2)\/(-1*2) + 3. Find the third derivative of 3191*y + 20*y**s - 4*y**k - 3191*y wrt y.\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*y = -2*y + 7, 3*j = 5*y + 31. Suppose 0 = -j*r + 18 - 8. Solve -x = r*l - 17, 4*l - 30 + 11 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 583?\nAnswer: 15\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -217725 divided by -5\nAnswer: 43545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 23 = -4*k. Sort -3, 1, 4, k in descending order.\nAnswer: 4, k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 - 1835*b - 735 + 393*b + 368.\nAnswer: -1442*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**3 + 135*v**2 + 64*v**3 - 103*v**2.\nAnswer: -v**3 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/7*(-84)\/(-12). Let j = -4 - k. Suppose -2*p = 2*f - 4*p, -3*p = -2*f - j. Solve 3*w - 11 = -5*x + 8, -4*w + f = -5*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/16 + x**3\/12 + 2*x**2 + 5*x - 132. Factor s(i).\nAnswer: -(i - 5)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 - 4552?\nAnswer: -4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*s = 46, 4*s - 19 = -4*r + 69. Let t = r + -14. Suppose 3*h - 65 = t. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (12 - -23) - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.394 from -15.\nAnswer: -14.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**2 - 11*g**2 + 2*g + 0*g)*(5 - 4 - 2) + (-4 + 3 + 2)*(8*g - 6*g + 9*g)*(g - g + g) in the form q*g**2 + n*g + x and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + 17. Let v = 46 - l. Solve 5*h - 5*m + 15 = v, -2*h + m = -3*m + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 15, h: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8266778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (1 - (-18 - (12 + -42))) + -73.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4119504, 8238845, 12358186, 16477527?\n\"Answer: 4119341*q + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4083 = 4048 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200603336 a multiple of 9613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(252) + 1 + (1*sqrt(252))**2) + ((1*(sqrt(252) + (2*sqrt(252) - sqrt(252))) - (-4 + -1 + sqrt(252)))*-2)**2.\nAnswer: 276*sqrt(7) + 2630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8880)\/(-2275) + -4 - (-22)\/143. Let p(t) be the first derivative of 4 + 0*t**4 + 0*t + 2\/21*t**3 - z*t**5 + 0*t**2. Factor p(y).\nAnswer: -2*y**2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 6859*d**6\/30 - d**4\/3 - 989*d**2\/2 - 2701*d. Find the third derivative of f(i) wrt i.\nAnswer: 164616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/((-48)\/112)*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 20*t = 2*p + 10, -21 = -p + 5*t. Suppose k - 5 + 1 = 0. Sort k, -5, p in decreasing order.\nAnswer: k, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**4*p*p)\/p*p*p**(-31))\/(p**(-12)*p**(-11)) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*m + 5*m = 6, 0 = -5*n + 3*m + 10. Suppose -n*d + d + 20 = 4*r, 0 = 4*d - 16. Solve -2*y - 2 = -u + 7, -r*u + 20 = -4*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/40 - 5*n**5\/12 - 61*n**3\/3 + 2*n**2 - 12*n. Differentiate o(v) with respect to v.\nAnswer: -9*v**2 - 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, 12, 248, 698, 1410?\n\"Answer: 8*k**3 + 35*k**2 - 91*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263594*g**4 - g**2 + 3122006*g wrt g?\nAnswer: -3163128*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*q**3 - 191*q**3 - 194*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-4))\/((2\/(-15))\/((-1380)\/1150)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23220 divided by -135?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*r - 105, -4*r + 5*r + 69 = -2*f. Let z be f\/(-22)*10\/(-3). Let u = 3 + -1. Sort 1, z, u in increasing order.\nAnswer: z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.053 + 24.947. Let i = 25.1 - w. Let a = -7.03 + 7. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/333 + -12827\/6660. Let c = -1700 + 13579\/8. What is the common denominator of c and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 531*q**2 + 4825*q - 18899. Calculate v(-540).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1467 and 234557.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-8) + 95\/20. Suppose -k*i + 26 = -18. Calculate the smallest common multiple of i and (3 + -8)*(-16)\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695564 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -119762, -478632, -1076610, -1913696, -2989890, -4305192, -5859602?\n\"Answer: -119554*o**2 - 208*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/2, 4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**5 + 54*p**4 + p - 533 wrt p.\nAnswer: -280*p**3 + 648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 12:13 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-16)\/t)\/t))**(-32) assuming t is positive.\nAnswer: t**(-608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 11 + 26. Suppose -37 + 7 = -j*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302949901931901 - 0.3\nAnswer: 302949901931900.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270990 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7727577.\nAnswer: 3, 11, 13, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 345009592, 345009586, 345009580, 345009574?\n\"Answer: -6*y + 345009598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -6 (c) -0.2 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9834308 at most as big as 9834340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 240\/960*(2\/(-2))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2*f - 7. Suppose x + 5 = 2*c, 4*x - 2*c = 2*c. Calculate g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:00 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*o - 29 = 0, 2*o = 5*o - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*k + 3*u - 0*u, -3*k = 2*u - 43. Suppose -g - 13 + k = 0. Suppose 2*s + 4*q - 14 = 0, -2*s + 20*q + 9 = 23*q. Sort 2, g, -6, s.\nAnswer: -6, s, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 1731*b - 30834.\nAnswer: -(b + 18)*(b + 1713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2. Let v(o) = -14*o**2. Let c(s) = 11*i(s) + 4*v(s). Let g(d) = -d**2 - 12*d. Determine c(g(q)).\nAnswer: -q**4 - 24*q**3 - 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8903618.\nAnswer: 2, 173, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17\/13 + -3\/52. Let t = -5.57 + 5.3. Let r = t - 0.13. What is the second biggest value in r, m, -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7552.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - 31. Let i be k(7). Let d(h) = 2*h**2 - 47*h - 60. What is the smallest common multiple of d(i) and 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -9. Let s(f) = -10*f + 7. Let w be s(-6). Let m = -44 + w. What is the remainder when m is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:05 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)\/((m*(m*m*m*((m\/m**(-2))\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeneeeeeeeeeeee. Give prob of sequence ene.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2513286 to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25872, 87429, 190024, 333657, 518328, 744037, 1010784?\nAnswer: 1318569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 6908 = -26*x + 2*c, -5*c = 0. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 11*x**2 - 8*x - 14. Let z be m(10). Let p = 100 - 58. Calculate the highest common divisor of p and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*y = 227*y - 5910. Calculate the common denominator of 67\/15 and 118*(y\/330 + 3).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168 + (22 - (2 + 92) - -24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*g**4 - 2*g*w**2 + 1785*w**2 wrt g.\nAnswer: 740*g**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 52797726.\nAnswer: 316786356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(2 + sqrt(98))*-5)**2.\nAnswer: 907200*sqrt(2) + 3304800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 58, 290, -4, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 13734?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02039272 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - 5. Let f(a) = 8*a. Determine v(f(q)).\nAnswer: 320*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.05, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3 + 10. Let p(w) = -3*w. Give p(m(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12515301 (base 9) in base 11?\nAnswer: 3521825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30307, -61183, -92047, -122893, -153715, -184507, -215263?\n\"Answer: h**3 - 30883*h + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 2 - (-2 + 4 + -50). Suppose 14 = -11*k + u. Solve -3*y - k = -4*l, 3*y + 7*l + 3 = 2*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.627807t?\nAnswer: 9627807000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:32 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22486424 by 295874.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v. Let r(q) be the first derivative of 0*q - 1\/2*q**2 - 3. Give -n(j) - 5*r(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104445 + 27923 = -5050*q + 35614 + 54514 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179152368 by 152.\nAnswer: 1178634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, c: 5}. What is prob of picking 3 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.0313?\nAnswer: -0.001252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 683910981 a multiple of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -97, -149, -219, -313, -437, -597, -799?\n\"Answer: -m**3 - 33*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12035 and 249?\nAnswer: 36105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 59*q**3 - 406*q**2 + 2 + 401*q**2 - 4*q.\nAnswer: -59*q**3 - 5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crmscxas. What is prob of sequence ccm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1.6, 1\/3, -2\/9, 35\/6?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-200)*8\/27\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 4*b**2 + 3*b - 14. Let o(f) = -f**3 + f**2 - 1. Let v(j) = -g(j) - 3*o(j). What is v(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1830 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 24. What is the units digit of -4*4\/(x\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/g**(4\/7))\/(((g**(-2\/3)*g)\/g)\/(g**(-2\/9)\/g)) assuming g is positive.\nAnswer: g**(-103\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*w - 471*w = 26397 + 9870 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794772 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let g(p) be the first derivative of -9*p**2\/2 + 3167. Suppose 0*s - 8 = -4*s. Determine s*g(z) + 10*k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (40 - 36) + (1 + -3)*(6 - 1)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23757 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -523758383?\nAnswer: -523758384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 1, n: 1, v: 2, o: 6}. Give prob of sequence io.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 570.00002785 + -570. What is h rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 309 - 308.757. Let i = 16824.057 - 16811. Let w = c + i. What is w rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q - 5 - q + 1. Let p be t(4). What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18*d**2 + 71*d - 136. Is b(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 5, -132637?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/364557160 and -107\/611380.\nAnswer: 2551900120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289439 is divided by 36154?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 345 = -27*t + 28*t, -3*t + 4*k + 1038 = 0. Is t bigger than 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpyf when four letters picked without replacement from dyzfzppyydfyyyf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696718123 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + (27 - ((3 - 0) + 8) - 5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442985 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - -0.1. Let j = 205\/7 - 29. Put y, j, 2, 3\/2 in descending order.\nAnswer: 2, 3\/2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 7*o + 180. Calculate the highest common factor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5788\/13 + -445. Sort -4\/3, -2, t in increasing order.\nAnswer: -2, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205002 by 3.\nAnswer: -68334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 41. What is the units digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + ((((2*sqrt(605) - sqrt(605))*-1)**2 - sqrt(605)) + 4 + 3)*-2).\nAnswer: -22*sqrt(5) + 1227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101101 + -1110?\nAnswer: -110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2773684 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(7) + (sqrt(210)\/sqrt(6))\/sqrt(5)))**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 84112*u**2 - 336464*u.\nAnswer: u*(u - 4)*(u + 84116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 379183813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 3339644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -4. Let u(b) = -2*b + 1. Let m be u(f). Let k be (-5 + 1)\/(1 + 0). Put 4, k, m in increasing order.\nAnswer: k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4*6.943955\nAnswer: -27.77582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 - 0.05. Let f = -0.1 + d. What is the closest to -0.1 in f, 4, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 88, 164, 290, 478, 740, 1088?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9518546 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154\/43 - 4086\/1333. Let t = -106730 + 26468819\/248. Let w = t + y. Which is the second biggest value? (a) 3 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d. Suppose d = 5*q + 2*p - 75, q - 3*p - 32 = -0*p. Calculate the remainder when 31 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/79345617 and -67\/18310527.\nAnswer: 238036851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(300\/(-70)))\/(25\/(1000\/224)). Factor 0 + 0*u**3 + 0*u - f*u**4 + 1\/2*u**2.\nAnswer: -u**2*(u - 2)*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -15)\/((2 - -9)\/(-1))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643675109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 441089171 and 2.\nAnswer: 441089173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5251, -32024, -76645, -139114, -219431?\nAnswer: -317596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/20*(48\/30 + -2). Let q(c) = 2*c - 1. Let u be q(3). Sort u, f, -6, 0.\nAnswer: -6, f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5241, -5266, -5291, -5316, -5341, -5366?\n\"Answer: -25*w - 5216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6263854.\nAnswer: 2, 17, 184231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 2\/9, -3502, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 14*a - 21. Let m be r(-2). Solve t = w + m, 0 = 3*w - 4*t + 9 + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530737.\nAnswer: 13, 73, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 21*b + 145. Let n be w(-11). Sort n, 0.6, -1, 0.2 in decreasing order.\nAnswer: n, 0.6, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10650 - 13042. Let z = -23691.31033 - j. Let o = z - 0.69. What is o rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 15 = -10*j. Let v = j + 0. Let h = 0.46 - 2.46. Which is the second biggest value? (a) v (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475930800.\nAnswer: 2, 3, 5, 73, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 + 31*u**3 - 19*u**3 - 2*u - 22*u**3 + u to the form s*u**3 + k*u**2 + f + d*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(-2\/35)\/(g\/g**5*g*g*g\/g**(-4)) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307.43um in meters?\nAnswer: 0.00630743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68927.54l to millilitres.\nAnswer: 68927540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*w + 17, -2*l - 1 = -4*w + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26112 - 26112. Let p = -34 - -33.9. Let m = 0.073 - -29.927. Which is the third biggest value? (a) p (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5024724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u - 2 + 21*u - 22*u - 14*u. Let c(k) = 125*k. Let b(t) = 78*t. Let a(n) = -8*b(n) + 5*c(n). What is p(a(j))?\nAnswer: -46*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, 3*u + 2*y - 520 = 7*y. Let b = 4 - 0. Suppose 0 = -b*k - 0*k + u. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 128981.\nAnswer: 126\/128981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1a + -4?\nAnswer: -a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*k**(-15)\/k*(k**4)**(-1\/60))**(-44) assuming k is positive.\nAnswer: k**(-7216\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r**4 + 594*r**3 + 1455*r**2 + 432*r - 444 = 0.\nAnswer: -37, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*g = 0, 0 = w + 4*g - 2*g - 3. Let k = 256\/15 - 86\/5. Which is the closest to -3? (a) w (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 6*c + 1. Let x be z(7). Suppose -3*a = -174 + 57. Suppose x = -s + a. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2070.9268, -1\/4?\nAnswer: 2070.9268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -380*s**3 - 711*s**2\/2 - 57. What is the second derivative of p(m) wrt m?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 37*y**2 + 23*y + 86. Determine r(-37).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(4\/7)\/a))**8*a**(4\/15)\/a**23 assuming a is positive.\nAnswer: a**(-347\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 0*l**2 - 5*l**2 + 5*l**2 - 2*l**2 - 2 - 3*l**3 to the form r*l + t + p*l**3 + f*l**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + ((-133188)\/(-432))\/(-11).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + -4421a15?\nAnswer: -4421a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 + -207. What is the lowest common multiple of i and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4542724 + 3?\nAnswer: 4542727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.5 (c) -5 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -1337 + 449. Suppose 0*b = -3*z + 2*b + p, -3*b + 77 = 2*z. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 3. Suppose y - r*s + 7 = 0, -3*y - 5*s + 20 = -14. Suppose -4*o = y*z - 38, 3*o = -2*z + 7*z - 44. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/11*(-3)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354220 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348581?\nAnswer: 53, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*sqrt(117)*2 + sqrt(117)))**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3381628.\nAnswer: 2, 107, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6632\/(-20)*(-37820)\/248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460960 and 750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.46 - -1.7. Let c = -0.2326 + n. What is c rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38030 minus -5?\nAnswer: 38035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 + -30. What are the prime factors of o?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -25 (b) -23\/8 (c) -4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 3*q**2 - 1 - 4 - 2*q**2 + 4. Let w be u(-11). Suppose 0 = -2*r + r + w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -1 (c) 108.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 11 = 16*c, -2*r - 17 - 25 = 3*r - 47 + 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -14. Let o = 26 - 18. Let i = o - t. Solve -f + i = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 3, j: 1, e: 4, m: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -462819\/20 or -23140?\nAnswer: -462819\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4576612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:19 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from thhlhhthzttttzttthl?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 2*r - 2*r)*(7*r**2 - 2*r**2 + 2*r**2)*(1 + r - 1 + (3 - 1 + 0)*(3*r - 2*r + 0*r) - r - r + 3*r - r + 2*r + 0*r).\nAnswer: 70*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4634.\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = -151. Let l be (-2)\/(-6) + 44\/i. Let y = 0.59 - -0.41. Which is the closest to 2? (a) 4 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -6108921.\nAnswer: 86\/6108921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-48)\/(2\/(-2)). Suppose 5*s - 2 = -5*z + a, -6 = -z + 3*s. Suppose 9*y - 3*y = 270. What is the highest common factor of y and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320931379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3019*z. Let o(k) = 3*k. What is w(o(h))?\nAnswer: -9057*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3219181815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -639 (b) 0.4 (c) 0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than 2920652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31707, 45, -3.\nAnswer: -3, 45, 31707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a factor of 5306128479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126267?\nAnswer: 3, 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 226\/90 - 12\/30 and 2\/5 - 141\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 - 7*l + 2. Let t be v(-6). Suppose 12 = 2*w + t. What is the third derivative of -j**4 + 2*j**4 - 6*j**6 - j**4 - 6*j**w wrt j?\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1536651 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r = 119*r - 316 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -69. Let b = l + -54. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49134 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100330113020 (base 4) to base 16\nAnswer: -43c5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/18 + -2 + 4. Let d(g) be the second derivative of 4*g + 0 + s*g**3 + 0*g**2 + 3\/20*g**5 + 0*g**4. Find the second derivative of d(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c2 (base 14) to base 6\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 + 0*v**2)*(-5*v**2 + v - 10*v**2 + 17*v**2 - 6).\nAnswer: 4*v**4 + 2*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5710690 is divided by 100187.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*6\/4. Let l be o\/1*(-14)\/2. Let k(b) = 1. Let z(u) = -u**2 - 9*u - 5. Let r(i) = -3*k(i) - z(i). What is r(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.1, -95\/4, 5 in descending order.\nAnswer: 5, 1\/10, -0.1, -95\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 6*q**2 - 2*q**2)*(q - 7*q - 6*q) + (2*q + 0*q - 4*q)*(3*q**2 - 4*q**2 + 2*q**2).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001191 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 3*w**2 - 3*w**2. What is the remainder when z(-3) is divided by (-1 - 18)\/(-8 - (-7 + 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 3. Let t be b(3). Suppose p + p - 6 = t. Suppose -p*j + 2 + 4 = 0. What is the closest to 1\/2 in j, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670300 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(45\/(-263574)*-9).\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 0, -127*m - 26 = -d - 132*m. Let f be (3\/(-198))\/(2\/(-32)). Is d less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y**(-3))\/(y**(1\/6)*y*y*(y*y**(2\/5))\/y*y)*(y**(-3\/7)*(y\/(y**(-3\/7)\/y))\/y)\/((y**(-3\/5)\/y)\/(y**(-5)\/y)) assuming y is positive.\nAnswer: y**(-299\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 8 = 21*o. Let j be (2\/(-15))\/((-2)\/24). Determine w, given that -j*w**2 - 3\/5*w**o - 4\/5*w + 0 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by (1\/(-3))\/((-10)\/(1097 - -13))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 1\/2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 523, 1032, 1541?\n\"Answer: 509*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-25)\/(-90)))\/(294\/980) - -22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 17*m - 5. Let z be d(-3). Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -30001*l**2 + 14*l - 13. Let s be m(7). Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110101011111111010 (base 2) to base 9\nAnswer: -3770665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 793 times 0.63\nAnswer: 499.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*v - 0*v - 19, -j + 19 = 3*v. Let q = j - -39. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1863*x - 3837. Give f(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.73 + 6.783. Let k = -0.0794301 + 0.026427. Let q = v + k. Round q to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343142, -343059, -342928, -342749, -342522, -342247, -341924?\nAnswer: -341553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 20*p - 2. Let t(l) = -4*l**2 + 13*l + 1. Let o(s) = 8*t(s) + 5*u(s). Let r(q) = 2*q - 7. Let i be r(5). What is o(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/21)*u)\/u*u*u*u**(1\/4)\/u*u*(u**(1\/3)*u)\/u**(-1\/3) assuming u is positive.\nAnswer: u**(421\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 8*a - 7. What is w(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from ttxttllttttxtxt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 774347501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + 2*h. Let i be s(-2). Let f = -696\/7 - -99. Is f at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i**5 + 81260*i**4 - 1438908*i**3 + 8279064*i**2 - 14362704*i - 6627744 = 0.\nAnswer: -2557, -3\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(40)\/sqrt(4)) - -1*sqrt(19)*-2 - (sqrt(19) - 2*(sqrt(19) - (sqrt(19) + sqrt(57)\/sqrt(3) - sqrt(19))))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101473579?\nAnswer: 757, 134047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5050 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-114)*(1\/3)\/((-3)\/12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -116, -117, -118, -119, -120?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 0.02739\nAnswer: 0.043824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 14*d - 120600 = 6*d. Is 134 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + 0*a**2)*(54*a + 62*a**2 - 2 - 3*a**2 - 52*a).\nAnswer: -118*a**4 - 4*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373217 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449407\/128 + -3511. Which is greater: u or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -84543, -84505, -84467, -84429, -84391?\n\"Answer: 38*n - 84581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2055 + 2057. Let c = -104 - -108. Put l, c, -6\/5 in decreasing order.\nAnswer: c, l, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -u. Let n be u\/5*(-4)\/(-18). What is y in 4\/9*y + n + 2\/9*y**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1960 = 3*w + 4*w. Suppose -2*n + 3*n - w = -4*m, 2*n - 588 = -m. Suppose n = 6*r - 64. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*g + 8, 2*g + 2*g + 6 = 2*d. Let j be 3*g\/6*0. Suppose 3*u + 30 = 2*t - j*u, -22 = -t + 5*u. Calculate the greatest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5)\/(-6)*-12. Solve -2*j - u + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(343))**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j**2 + 208*j - 473. Let u be l(7). Factor -9\/2*b + 0 - 6*b**2 - 3\/2*b**u.\nAnswer: -3*b*(b + 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/189 and -121\/6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(343)*4*-1 + sqrt(343) - sqrt(343) - sqrt(343)))**2.\nAnswer: 308700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-t + 0*t + 2*t) - 4 - t + 4 - t - 13*t + 3*t + 0*t - t - t to d + g*t and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 2*b)*(b**2 + 2*b**2 - b**2) - 2*b**3 - 3*b**3 + 3*b**3 + (2 - 6 + 3)*(-25*b**3 + 12*b**3 + 19*b**3).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u\/((u**(-2)*u)\/u*u))\/u*u)**(-18))**25)**(-14\/9))**(-4\/5) assuming u is positive.\nAnswer: u**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*k + 35*x - 43*x, -3*x + 1 = -k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3 + 5 + d**2 - 10 + 2*d. Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1872) - sqrt(52))\/(sqrt(216)\/sqrt(6))*-4.\nAnswer: 76*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1372, 1361, 1344, 1321, 1292, 1257?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(3*c + 5*c - 3*c)*(128*c + 52*c + 157*c).\nAnswer: 1685*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.5 and -0.01.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 9*r**5\/2 + 169*r**4\/12 - 4*r + 30. Find the third derivative of k(h) wrt h.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 1. Let l(h) = -5*h**2 + 5*h + 8. Let f = 59 - 65. Give f*g(y) - l(y).\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5 less than -1.048?\nAnswer: 20.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 31321111132?\nAnswer: 31321111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 8.8 (c) -1\/3 (d) -0.3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542977874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 7, q: 3}. What is prob of sequence oo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 6*u**2 + 3*u - 5. Let o be ((-3)\/(-6))\/((-4)\/48). Give i(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2 - (-13)\/((-130)\/40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*b + 17 + 14, -2*s + 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 4. Let n(j) = 13*j + 4590. Calculate -6*a(u) - n(u).\nAnswer: -u - 4614","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -24\/11 in increasing order.\nAnswer: -24\/11, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-91) + 205\/(-462))*-4\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 28516758*a + 67767123902547.\nAnswer: 3*(a + 4752793)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u + 320. Give k(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 13. Let p(w) = w**2 - 4. What is p(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.107 - 2.26. Let b = -0.557 - x. Let g = -0.066 + b. What is g rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4793*p**2 + 6017*p**2 + 6932*p**2 + 1)*(0 + 2 - 5 + (7 - 2 - 3)*(1 - 2 - 1) - 1 - 3 + 3).\nAnswer: -65248*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -133127?\nAnswer: -13312c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102532979453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 9*u**2 + 6*u - 3. Let b be d(-10). Let r = b + -23. Calculate the remainder when 6 is divided by 2\/3 + 0 + r\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878 less than -0.0302076?\nAnswer: -8878.0302076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968160*r + 3966764*r + 8013781*r.\nAnswer: 10012385*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*n - 20 = -4, 2*b - 4 = 8*n for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*((-14)\/(-273))\/((-4)\/13491). Which is smaller: -693 or k?\nAnswer: -693","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 5 (c) 78 (d) 2\/9 (e) 292\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Let i be a - (3 + 1 + -4972). Let k = -2567 + i. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43925 is divided by 21643.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + 1586\/14. Let q = b + -62. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(2) - sqrt(2))*-1 + (sqrt(12)\/sqrt(2))\/sqrt(3))**2 + 5.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/20 - 41*u**2. Let l(g) be the second derivative of 0 - g + 0*g**2 + 1\/2*g**3. What is f(l(d))?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + 39. Let x be (15 - 1)\/(1 + (-150)\/u). Let a be 4\/18 + (x\/(-18))\/(-4). Solve 2*m - l + 2 - 11 = 0, a = 4*m + l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 - 5*y + y**2 + 4*y + 2*y**4 + 2*y**2 - 4*y**2 in the form o*y**4 + b*y**2 + s*y**3 + t + i*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -3.2. Let v = -13.1 - h. Let j = v - -9.91. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)\/(b**(6\/11)*b)*b**(1\/4)\/b*b**(3\/7))\/((b*(b**(-2\/15)\/b*b)\/b*(b*b**(-3))\/b*b)\/(b**(-1\/12)\/b**5)) assuming b is positive.\nAnswer: b**(-1399\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4*11\/(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562810077.\nAnswer: 3, 19, 101, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.25101 to 0 dps.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4591742958 to the power of 1\/3, to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46505311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16\/14*(-119)\/(-306)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*t - 3*t. Suppose -3 - 37 = -t*d. Let b = 12 - 7. What is the smallest common multiple of b and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:38 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/58)\/((-216)\/112 + 2) + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-180)\/(-135) - (0 - -2). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 16. Let n be s(-7). What is the second derivative of -2*k - 3*k - k - n*k + 10*k**2 wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 0 (c) -3\/2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597331503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*l + 42*l**2 - 2*l**4 - 37*l**2 + l**4 as r + c*l**4 + d*l**3 + j*l + m*l**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 8, u: 1}. Give prob of picking 2 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 19749*b + 2906064.\nAnswer: -3*(b - 6727)*(b + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*s. Let n(y) = -11 + 33 + y - 11. Let v be n(-7). Solve -s*a = -v*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z + 4. What is x(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17066505?\nAnswer: 3, 5, 1137767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 4*c - 3. Let u be n(-6). Suppose -172*x + u*x = 21. Let t be (16\/(-20))\/(4\/(-10)). Which is bigger: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/(-198))\/(12306\/84).\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 86 - 644 = -3*a, 5*a - 4*w - 931 = 0. Let d = a + -109. What is the greatest common factor of 52 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 13*s**2 - 14*s + 2. Let j = -4 + 18. Let n be t(j). Suppose r + 0 = 2. Solve n*o = -4 - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11 + (621 + -683 - (-31 + 1))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6121, -11958, -17181, -21484, -24561, -26106?\n\"Answer: 51*v**3 + v**2 - 6197*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-6)\/(-3) - 12\/3. Calculate the remainder when 23 is divided by (3*(-8)\/(-24))\/((-1)\/v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/(-4))\/((-2)\/4). Let t = s + -11. What is the remainder when t is divided by 10\/(-45) - 92\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5771567 + 0.4.\nAnswer: -5771566.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 - 3. Let r(m) = 27*m**2 - 11. Let g(b) = -22*p(b) + 6*r(b). Let s(u) be the second derivative of u**3\/3 + u - 423. Calculate g(s(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-40))\/((-2)\/(-48)). Suppose 10*l + 288 = 14*l. What is the highest common factor of l and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 240207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2155*m + 2 + 1776*m + 2*m**3 - 4*m**3 - 1 - 4 as b*m**3 + r*m + a*m**2 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2\/19, -9.3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Let z(p) = -2*p**2 - 36*p - 5. Calculate 5*l(i) - z(i).\nAnswer: 2*i**2 + 31*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.019 < 85268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9772 - 9770. Sort 21, -3, u, -4, 8.\nAnswer: -4, -3, u, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-13)*y*y\/(y\/((y**10*y*y)\/y)))**(-7) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -4896?\nAnswer: -4894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294024 and 416534?\nAnswer: 4998408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 + 4*m. Let r be p(-3). Suppose 5*z = 2*z + r. Suppose z*a - 90 = 412. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 + 5*t - 3. Let g(y) = -2*y**2 + y + 1. What is -2*g(k) - n(k)?\nAnswer: 9*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by -40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113.72 + 7.72. What is the closest to 4 in 0.2, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 589*a**4 - 5*a**2 - 18*a - 1878. Let y(r) = -1179*r**4 + 9*r**2 + 33*r + 3756. Let c(t) = -11*k(t) - 6*y(t). Differentiate c(f) wrt f.\nAnswer: 2380*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/29)\/t)\/t)\/t**(-11\/6))\/((t**(2\/27)\/t)\/t*t**(1\/12)))**37 assuming t is positive.\nAnswer: t**(186221\/3132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 49 + 1024*u**3 + 40 + 139.\nAnswer: 1024*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -66*i + 2255. Give q(34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2477870.\nAnswer: 2\/1238935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lad. Give prob of sequence la.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1222 - 2349\/2. Find the common denominator of 29\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*c - 8, 10 = 2*x + 5*c - 6*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150228900 rounded to the nearest one million?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -2, -19, 14\/143 in decreasing order.\nAnswer: 14\/143, -3\/5, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -107*c. Let r(k) = -k**2. Calculate g(r(m)).\nAnswer: 107*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 68*h**3\/5 + 2872*h**2\/5 + 27328*h\/5 + 6272\/5 = 0.\nAnswer: -28, -14, -4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/6)\/((q**(-3)*q)\/q)*(q\/((q**5*q)\/q))\/(q**(-10)\/q) assuming q is positive.\nAnswer: q**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 13*j**2 - 6*j. Determine w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w. Suppose -4*l = 4*p - 7*l - 18, -4*p + 2*l + 20 = w. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 134*p**2 - 13484*p - 1133. Calculate z(-67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 302 + -53. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711890 to the power of 1\/2, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/10 - 12\/(-30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*l - 24172 = 0, -4*l + 7425 = f - 16741. What is the highest common factor of f and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 633644*o**2 + 1225315 with respect to o.\nAnswer: 1267288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 50398, 2, -496 in descending order.\nAnswer: 50398, 2, 0, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12824 + -1050. Let u = -6619 + b. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/9))\/(r\/r**6)*((r**(3\/2)\/r)\/r)**(-35\/2) assuming r is positive.\nAnswer: r**(551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 1048.4473357.\nAnswer: 1048.3873357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + a = -14063. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = -4. Let p(n) = -3*n**2 + 13*n - 8. Let b be p(1). Solve f*v = 12 - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a + 5*w + 16, -2*a - 2*w = 32. Which is smaller: -15 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*q + 4 = 37, 4*q = 5*h - 40. Suppose 0 = -2*r - 0*r + h. Solve c - r*c = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(2\/20). What is the greatest common divisor of i and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 1, r: 8, z: 3, u: 2, c: 2}. What is prob of sequence zcd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/3 - 79*b**2\/3 - b\/3 + 79\/3 = 0. Calculate b.\nAnswer: -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdddmdmddmdddmdddmm. Give prob of sequence md.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:12 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*g = 3, 3*b - 5*g = 4*b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 2*x - 2. Calculate c(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 1, 5, -5, 150, 0 in descending order.\nAnswer: 150, 16, 5, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + t + 12 + 18*t + 17*t with respect to t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*6*(-5 + sqrt(343) + 1 + 0 + sqrt(343) + -5 + sqrt(343) + (sqrt(343) - (2*sqrt(343) + -2))**2 + sqrt(343) + sqrt(343)).\nAnswer: 210*sqrt(7) + 10139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeeo. Give prob of sequence ses.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889297359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyfp when four letters picked without replacement from {p: 1, e: 1, y: 1, f: 1, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 49563823\/5 and 9912766 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 5. Let a(f) = -2*f - 6. Suppose 30*c + 23 = 143. Calculate c*a(j) - 5*q(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146827 and 0.4.\nAnswer: -58730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -85. Suppose 0 = -4*u - 2*l + k, -3*l = 4*u - 31 - 4. Calculate the greatest common factor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62, -6125, -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93.321 - -0.321. Which is the nearest to -2? (a) u (b) 5 (c) 5\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -794 greater than or equal to -614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*t + 16 = -0*n, 5*n = 3*t - 35. Let c(d) = -2*d - 25. Let v(z) = -z - 13. Let w(s) = n*c(s) + 7*v(s). List the prime factors of w(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 3) in base 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from hnwenxs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/57 or -1?\nAnswer: -68\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*f - 3*o, 0 = 3*f - f - 2*o + 12 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 13974*o**4 - 168090*o**3 - 140136*o**2 + 168087*o + 154110 = 0. What is o?\nAnswer: -11, -1, 1, 4670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from uuuuuuuuuuuusssusus.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 293785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -95053 (base 10) to base 12\nAnswer: -47011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*x - 58 = 0, 5*z + 3*x - 8*x + 115 = 0. Let u = 158.1 + -158. Which is the nearest to u? (a) -0.4 (b) -6\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.07293 + 0.07293. Which is the closest to -1? (a) z (b) -0.1 (c) 0.5 (d) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 13\/3 (c) -4 (d) 2\/247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Suppose q = -2*v + 2*i + 60, -4*v + i = -0*i - 108. What is the remainder when v is divided by 5\/25 - (-138)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + n**4 - 2*n**4 + 0*n**4 + (2 - 6 + 3)*(-6*n**4 + 0*n**4 - n**4).\nAnswer: 6*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7318919.2 rounded to the nearest 1000?\nAnswer: 7319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-7)\/(7\/(-1)))*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -810868 and -810860 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -50*q**2 - 3*q + 3. Let w(p) = -17*p**2 - p + 1. Calculate 2*k(a) - 7*w(a).\nAnswer: 19*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 736 = 4*x, 0*x - 3*x = -5*z - 575. Let n = x - 54. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132951 times -0.2\nAnswer: -26590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from evnv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444040162.\nAnswer: 2, 23, 2311, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*i = i - 32, -2*i = w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 0, 24, -121 in descending order.\nAnswer: 24, 6, 0, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 3210?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 9*b - 3*o - 23, 4*o = -5*b - 29. Sort -3, b, -19, 1 in descending order.\nAnswer: 1, b, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -1\/15*b**6 + 4\/5*b**5 - 8\/3*b**4 + 0 + 0*b**2 + 30*b + 0*b**3. Factor q(j).\nAnswer: -2*j**2*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 121. Let v = -1 - -1. Is a(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82913 - 82910. Let n = -66\/31 - -249\/248. Which is the biggest value? (a) 1 (b) -0.3 (c) q (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/6)\/(-12))\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39702002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/341831 and 91\/2148652.\nAnswer: 15040564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666329.8295 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5 = -n, -241*n - 3*g = -244*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1\/12 - (-72)\/108. Which is the third biggest value? (a) o (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**3\/3 - j**2\/2 - 248. Let a(c) = 7*c. Determine a(m(t)).\nAnswer: 7*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(132) - 1*sqrt(132)) - 6*-2*sqrt(132))*-4)\/(1*sqrt(192)*-2*3)*3.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.1, 5, -4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(8) - (sqrt(8) - sqrt(200))*-3))\/(sqrt(216)*-1 - (-4*-2*sqrt(6) + sqrt(6)))*3)**2.\nAnswer: 7\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*n + 1 = s, -5*s = n + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*a + 3. Let y be 1\/(-3) + (-2)\/(-6). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = -3*k, -6*a = 2*k - 5*a + 4. Let m(x) be the first derivative of -3*x**2\/2 + 9*x + 2. What is the units digit of m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 126\/15*1370\/(-822). Let o(v) = v**3 + 13*v**2 - 16*v + 1. Determine o(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -4. Let i be 5\/5 + k*3. Suppose 5*f + 3*t = 18 + i, -2*f - 5*t + 11 = 0. Calculate the least common multiple of 10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5954)\/(-1374)*-3*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12846)\/(-17128))\/(1*((-11)\/(-6) - 2)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1922 - -0.8422. Let w = -0.09 - 0.26. Let a = w + b. What is the nearest to 0.1 in 1\/2, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147008)\/45940*70\/(-64).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 12. Suppose -o + 5 = v - 2*o, 2*o - 10 = 0. Is (-4)\/v + 112\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2448359157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 6. Let j be b(6). Let z = -189 + 193. Suppose 3*v - 5*v + 3*a = -48, -z*a = v - j. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6051.998222 + 6052. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 + 510)*(2\/23 + 2640\/(-9200))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 151 = 183. Let a(b) be the second derivative of -9\/2*b**2 + 1\/4*b**5 - b + 0 + 0*b**q + 0*b**3. Differentiate a(j) wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.353, -2, 28335.\nAnswer: -2, -0.353, 2, 28335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 3 (c) 2\/11 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311 + 12*i**2 + 311 - i to k*i**2 + n*i + c and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {c: 2, m: 2, f: 9}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 6*c - 11. Let y(n) = -2*n**2 + 12*n + 21. Let x(l) = -7*q(l) - 4*y(l). Calculate x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9030000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v. Let m(y) = 17*y + 119. Let f be m(-6). Let g(c) = -13*c - f*c + 38*c. What is d(g(l))?\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 4. Let u = -5 + w. Suppose u*t - t = 10. What is the remainder when 8 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let t be 60\/9 + 2\/v. Let g be (4\/t)\/((-2)\/(-6)). Is g at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 0.596540939?\nAnswer: -8.403459061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 10:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -39.374, -31\/3, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1004996, -7, 11 in decreasing order.\nAnswer: 11, -7, -1004996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/30 + 7*n**4\/24 + n**3\/3 + 210*n**2. Let x(k) = -k**2 - 8*k - 3. Give -5*r(y) - 4*x(y).\nAnswer: -6*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 + 17 = 0. What is the remainder when 66 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (55 - 37)*(4\/(-18))\/(-1). Solve 5*y + 2*j = 7*j - 10, o*y = -4*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 4. Let s be a(7). Suppose 4*n - s = -g, 5*n - 30 = -3*g + 3. Solve -5*j - 6 = -2*j, -4*q - n = 5*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 16. Suppose 3*j + 6 = 0, -5*j - 29 - 16 = -5*n. Let c be a(n). What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from trxwbbbwbrrbb.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658, 1290, 1920, 2554, 3198, 3858, 4540, 5250?\nAnswer: 5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -43*o. Let l(d) = 6233*d**2 - 43*d + 1. Determine -l(f) + v(f).\nAnswer: -6233*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 10 = -18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224*f*u**4 + f*u**3 + 62011*f*u**2 - 19*u**4 wrt u.\nAnswer: -5376*f*u + 6*f - 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3*(-6)\/(-6)))\/(1\/(-51)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + s + 3. Let t = -83 + 78. Let f(h) = 4*h**2 - h - 5. Calculate t*o(b) - 3*f(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 6 - -6 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(190)*-2 + sqrt(190))\/sqrt(10)*-5*-3 + -6*4*(0 + sqrt(2299)) + 4)**2.\nAnswer: -2232*sqrt(19) + 1478991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -12, -39, -88, -165, -276, -427, -624?\n\"Answer: -n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63231, 63220, 63209, 63198, 63187?\n\"Answer: -11*b + 63242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 + -1.04. Let s = -0.3 - d. Is s less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-5)*h))\/h**(-5))\/(h**(1\/9)\/h*h*h*h**(2\/3)*h) assuming h is positive.\nAnswer: h**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 8 = 0. Suppose 3 = j*u - u - 3*z, 0 = 3*u + 3*z + 3. Suppose u = t + 1 - 7. Calculate the lowest common multiple of t and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*c + 16, -2*c = -0*o - o + 14. Solve -o*x - 14 - 16 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a - 4. Let f(b) = b - 15. Let g be f(10). What is the units digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from {h: 3, w: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011011101 (base 2) to base 12.\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1.442656 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 = -m, 3*g - 138 = 3*m - 144. Let d(c) = 6*c**2 - 5*c + 2. Let z(w) = -7*w**2 + 6*w - 2. Determine g*d(i) - 3*z(i).\nAnswer: -3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.239032 from -25.\nAnswer: -23.760968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28876.\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 159852 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from aalaggglmalabxa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 12825.\nAnswer: -91\/12825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-7 + -1 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.44 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.3, 0.04723727, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5992954486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445492*g - 10 + 10.\nAnswer: 445492*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*y - 167*y = -3807. Let h = -417 + y. Calculate the smallest common multiple of 2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*h**5 + 2*h**4 + 104*h**3 - 104*h**3 + ((h**4 - 2 + 2)*(5*h + h - 4*h) + h - 3*h**5 - h)*(-2 + 2 + 1).\nAnswer: -72*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*c - 0*f - 19, c - 17 = 5*f. Suppose -5*n + v = -80, -4*n + 68 = 3*v + 4. Suppose c*z - n = -6. Solve 5*r - 5*u - 1 = 4, -z*u - 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:42 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-27)*-3*(-1395)\/(-1085)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710046 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -22. Which is smaller: 5\/7 or g?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 p, and 1 m when four letters picked without replacement from mpmpwimmmmmmpmwmii.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 18*l**2 - 17*l**2 + 33*l**2.\nAnswer: -2*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30*21\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s**2 + 178*s**2 - 65*s**2 - 53*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2404024 - 4?\nAnswer: 2404020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(130) - (sqrt(130)*1 - sqrt(130))*1)\/(sqrt(10) - 1*sqrt(90))*5)**2*5.\nAnswer: 1625\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 38. Let s be f(17). Suppose -2*w = -9 + s. What are the prime factors of (-133 - w)\/(2\/(4\/(-2)))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374408 is divided by 1778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*h - 11, -3*b + 5 = -h - 26. Let k(v) = 3*v**2 - 14*v. Let i be k(6). Solve i - b = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b**2 + 45*b + 16. Let l be m(4). Solve -4*g = l*s + 12, -3*s - g = -3*g - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*r + 30, 25 = 6*z - 3*z + r. Suppose z*k - 40*k + 43791 = 0. What are the prime factors of k?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 + 7*o - 3. List the prime factors of v(6).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106746.\nAnswer: 2, 3, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -170, -344, -518, -692, -866?\n\"Answer: -174*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 34.08.\nAnswer: -31.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747998764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let t = 251826 + -251826.2. Let m be (0 + -6)\/((-6)\/(-4)). Which is the closest to s? (a) 2 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48211271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**5 - 9*r**5 + 4*r**5 + 0*r**5 + 2*r**5 - r**5 + (-2*r + r - r)*(-2*r**4 + 0*r**2 + 0*r**2) - 203*r - 22*r**5 + 203*r.\nAnswer: -28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 339\/4 + -82. Let y = 16527 + -16525. What is the smallest value in 2\/15, y, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0 (c) -5\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202111 (base 3) to base 6.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3561, 7135, 10745, 14409, 18145, 21971?\nAnswer: 25905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4 - 5*n + 2*n + 4*n**2 + 4*n. Let y(f) = -5*f**2 - 2*f + 4. Let k(h) = 6*t(h) + 5*y(h). Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 283 and -100.\nAnswer: -28300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/((d*d**(5\/4))\/d)))\/(d**(-40)*d))\/(d\/d**(-5\/12)*d*d\/(d*d**(-1\/4))))**42 assuming d is positive.\nAnswer: d**(3157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*l = o + 22, -4*o - l + 88 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in -0.05, -5, -67, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, y: 2, n: 1}. Give prob of sequence ndq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:43 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/24)\/5 + (-16)\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -20.7, -3\/2, 2, -19, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.15. Let j = -1.15 + s. Let l = -0.1 - 0. What is the closest to j in -0.5, l, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:29 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(2 + 2*y - 2 - 2*y + 4*y + 0*y + (-3 - y + 3)*(-3 + 0 + 1) - 4*y - 13*y + 14*y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17060 (base 8) to base 13\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - 2*q**2 - 4*q + 3. Let c(g) = -5*g + 32*g**2 + 28*g**2 - 63*g**2 + 4 - 4*g**3. Determine 4*b(v) - 3*c(v).\nAnswer: -4*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/7 - 1348*k\/7 + 11565.\nAnswer: (k - 1285)*(k - 63)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2114962 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 13*a**6\/6 - 3*a**4\/4 - 4*a**3\/3 + 6*a**2 - 112. What is the third derivative of r(p) wrt p?\nAnswer: 780*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44f (base 16) in base 15?\nAnswer: 4d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1467.623ug to milligrams.\nAnswer: 1.467623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326341068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmxvvmppr. What is prob of sequence mvr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from winwiwiwhinnii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3 + -0.3. Let t be (-324)\/(-540) - (-6)\/(-5). Which is the biggest value? (a) t (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(sqrt(240) + sqrt(240) + -2*sqrt(240)*1 + sqrt(240) - sqrt(240)))\/(6*(-2*sqrt(125) - sqrt(125))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*k - 4861 = 0, -2*n - 874 = -5*k - 2837. Suppose 0 = 2*y + 372 - n. List the prime factors of y.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - 2*l**2 + l**2 - 3*l**2 + 0*l**2 + (4 - 4 - 2*l)*(-6*l + 5*l - l) + 1 + l**2 - 1 - 6*l**2 + 2*l + 3*l**2 + l**2.\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6.4. Let p = -0.4 - -2.6. Let h = 2.2 - p. Which is the closest to h? (a) x (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1493153885 divided by -5.\nAnswer: -298630777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-4)\/(-8)*0. Differentiate 4*x - 7 - l*x + 6*x**2 wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132727 (base 16) to base 14\nAnswer: 249619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:10 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 24 = -180. What is the remainder when 262 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 32 = -0*p - 4*p, 0 = -p + 5*r. Let z = 2 + -2. Solve 5*q + z = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 - 138. Suppose n = -5*b + 56, 4*b + t = n + b. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose -5*j + p*f + 425 = -2*f, 3*f = j - 72. Suppose 4*z = -m - 4*m + j, -2*m - z = -33. What is the remainder when 73 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -20, -35, -32, -5, 52, 145, 280?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -168*f - 77. Let l(a) = 13*a + 6. Suppose 9*g + 7*g - 1232 = 0. Let n(z) = g*l(z) + 6*s(z). Let i(k) = k**2. What is n(i(r))?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*l + 2420*l - 1261*l.\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r, -3*r + 44 = k - 5. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-184)\/483*15\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or -0.0066861?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*h**2 + 168*h + 230*h**2 + 1 + 207 - 4*h**3 + 24*h.\nAnswer: -4*(h - 13)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23364 take away 0.08?\nAnswer: -0.31364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*r + 29 = 6, 5*h = -5*r - 5. Let v = h - -7. Let f(k) = 2*k**2 - 3*k**v - 4*k**2 + 4*k**2. Let p(a) = -a**2. Determine p(f(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + f8?\nAnswer: f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n**2 - 13 + 5*n**2 + 8*n**2 wrt n?\nAnswer: 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -197*d**7\/5040 + d**6\/9 + 143*d**5\/60 - 20*d**2. Let t(m) be the third derivative of j(m). Differentiate t(z) wrt z.\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*t + 12. Let m = t - -1. Solve 4*y - 2*y + 11 = -5*a, -17 = 4*y + m*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 9*k - 5. Suppose -7*a - 10 = -2*a. Suppose 290*r - 15 = 287*r. Let t(o) = -4*o - 2. Calculate a*b(h) + r*t(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 (base 8) in base 6?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzyyyeeyeyyyyr. Give prob of picking 2 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 30. Let a = 535 + -437. Let m = a + i. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**2 - 3*n + 3. Let h(r) be the first derivative of -r**3\/3 + r**2\/2 - r - 312. Give -3*h(t) - m(t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 29*b + 227. Let p be w(-8). Let r(n) = -n**2 + 9*n - 9. Let s(g) = -g**2 - 9*g - 8. Let c be s(-7). Let h be r(c). Sort -0.2, h, p.\nAnswer: p, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02606, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.359855 millilitres?\nAnswer: 0.004359855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1, 7, -3, -2 in ascending order.\nAnswer: -3, -2, 1, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -163171 in descending order.\nAnswer: 1, -4, -163171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 45. Which is the closest to -2? (a) -1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 25*s + 112. Determine b(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbbbsswss. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -2)*(-2)\/3. Suppose 5*r = -2*u + 4*u + 15, m*u + 6 = 2*r. Suppose r*z - 5*z = -52. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11. Let d be 6 + -6 + 2\/(-5). Which is bigger: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-2)*(-4)\/7. Let y(t) = -332 - 4*t**p + 332. Let l(n) = -6*n + 2*n + 0*n. Determine y(l(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(15\/18))\/8*460. Let d = x + 617. Is d a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)*(16 + 189\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c + 2, 40 = 4*g - 2*c. Let b(u) = u + 68. Let h be b(4). Calculate the highest common divisor of g and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**3 + 6*p + 18. Let c(a) = -a**3 + a. Determine 6*c(t) - j(t).\nAnswer: 2*t**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 + 13*p**2 + 10*p**3 + 14*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 14 - 14 to the form d + b*h and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (8 - 4) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1363 - 0?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 20, 0 = -0*u - 4*u + 4*t - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -996 divided by -346\nAnswer: 498\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = d - 5330. Let o = 94 + -81. What is the greatest common divisor of o and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let t(f) = 18 - 2 - 5 - 2*f**2 - 4 - 8. Calculate t(y(h)).\nAnswer: -8*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9800)\/(-1080) - (2 - 3)*((11 - 19) + -1)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1260 - -1939. List the prime factors of i.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40230 and 1788.\nAnswer: 80460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 20380?\nAnswer: 101900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -21*i + 7. What is t(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -193. Which is the smallest value? (a) i (b) -2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000101110110001101100 + 100?\nAnswer: 11100000101110110001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.44 - 34.74. Let x be (12\/32)\/(1 + 2). What is the closest to 1\/4 in x, t, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(7\/(-9)) + 3. Let b be (-16)\/g + 158\/6. What is the third derivative of -k**6 - 7*k**6 - b*k**2 + 26*k**2 wrt k?\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4. Let l(x) = 3*x - 3. Let m(f) = -2*l(f) + 4*t(f). What is m(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 5, -3*j = -5*h - 3. Suppose -2*a + 16 + 8 = h. Solve 4*v = a, -3*m + 5*v = m + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33232 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/18 + -20\/9. Sort q, -4, 1 in ascending order.\nAnswer: -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/((-6)\/(-24))*(-56)\/21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**4 - 2968233*u**3 + 3*u**2 - 5672442*u wrt u?\nAnswer: 120*u - 17809398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 divide 943590634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49937188969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -12. Let g = -142 + 140. Let o be 12\/9 + (-4)\/(-6). Put g, o, l in ascending order.\nAnswer: l, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2317, -4549, -6781, -9013, -11245, -13477?\nAnswer: -15709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(30)\/(sqrt(1000) - (sqrt(1000) - (sqrt(1000)*-3 + sqrt(1000)))) + 2.\nAnswer: -sqrt(3)\/20 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + 6*o - 6. Let p be y(4). Let v(q) = 16*q + 6. Let t be v(-5). Let z = t - -76. Solve -3*a = 5*g - z*a - 2, p*g - 5*a = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 11*t - 284 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 11. Let h be (2\/(-4))\/(1\/(-6)). Solve -b - n = -h*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-3)\/(15\/(-20))). Solve 2*i + x + 17 = 2, p = -5*i + x - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 325983 + 651969 - 325987.\nAnswer: 23*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3623501\/153 - 23683. What is the nearest to z in 1\/3, 5, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -3031?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41142101 (base 5) in base 9?\nAnswer: -558170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*u + z, 9 = 13*u - 10*u - 3*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-6*4\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15769, -31536, -47303, -63070, -78837, -94604?\n\"Answer: -15767*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -19*c**3 + 193*c**2 + 23*c + 64. Let s(b) = 4*b**3 - 40*b**2 - 5*b - 13. Let h(v) = 5*l(v) + 24*s(v). Determine h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11609 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -293*a + 293*a + 35*a**4 + 10*a**3 - a**5 - 44*a**4 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + s**3*w - 268*s**2 + 2*s*w - 12*s - 5*w wrt s?\nAnswer: 24*s**2 + 6*s*w - 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*q**2 - 2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3)*u**(-12)*(u\/u**19)\/u*u**(-2\/21))**4 assuming u is positive.\nAnswer: u**(-2276\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 4:10 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8199976?\nAnswer: 2, 1024997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 1652*d**3\/3 - 1655*d**2.\nAnswer: d**2*(d - 3)*(d + 1655)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o - 18 = 0, -3*h + 4*o + 6 = -h. What is the highest common divisor of h and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 291, 784, 1475, 2364, 3451, 4736?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 649 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 22. Let f be -2 - (-2 + (k - 3)). What is the remainder when 31 is divided by (-2 - f)\/(-1) + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46324*t - 1 - 5*t**3 + 46324*t.\nAnswer: -5*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + z**4 + 5*z**4)*(-4 + 2 + 0) + 917*z**4 - 1081*z**4 - 1222*z**4.\nAnswer: -1390*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 1492.\nAnswer: 8952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 6*c - 30, -540 = -2*p + 3*c - 526 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*z - 22 - 2, -9 = -2*j + z. Suppose -4*v = -2*l - 0*l - 26, 5*l + v + 21 = 0. Put j, l, -1 in descending order.\nAnswer: j, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (-3*sqrt(200)*-1*-4)**2.\nAnswer: 28799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:35 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 8*a - 4. Let s = -3 + 8. Let z be u(s). Suppose 4*r - z = 9. What is the highest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -139?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (60\/14)\/((270\/105)\/(-18)*-1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2469, 608, 1\/5?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1191)\/2382 - (-3)\/18)\/(-14*3\/(-2)).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 0.2, 3\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4242, 4243, 4244, 4245, 4246, 4247?\n\"Answer: w + 4241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 5*g)*(3*g - 3*g + 2*g + (-2*g + 3*g - 2*g)*(2 + 0 - 1) + 0*g + 0*g - 2*g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*j = 74, -3*j = -5*f + 146 + 20. Let d = 22 - 3. Let u = f - d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31124778 is divided by 3458308.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 44*c - 5. Let x(m) = -6*m**2 + 132*m - 16. Let o(t) = -16*v(t) + 5*x(t). Let u(q) = -q**2. Determine u(o(j)).\nAnswer: -4*j**4 + 176*j**3 - 1936*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.832 + -0.032. Let w = f + -4.8. Put w, 4, -3, 0.5 in increasing order.\nAnswer: -3, w, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 205*m - 570. Let d(g) = -30*g**2 + g. Give c(d(a)).\nAnswer: -6150*a**2 + 205*a - 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 34*q**3 - 65 - 248*q**3 + 2 - 227*q**3 - 147*q**3. Let p(l) = 19*l**3 + 2. Determine -63*p(o) - 2*w(o).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**3 + 23*v**2 + 733*v - 1492. What is b(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 4 = -11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66587646 a multiple of 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 5*h - 3*h**2 + 3 + 3*h**2. Let o be g(-5). Let t be (-11)\/(-3) - (-4)\/12. What is the greatest common factor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 2 - 1 + m**3 - m + 0*m. Let f = 3 - 8. Let i be h(f). Solve -3 = -i*c + 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 25*s + 137. Let z be g(-17). Put 4, z, -190 in descending order.\nAnswer: 4, z, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -49. Let l = j + -52. Which is the second smallest value? (a) l (b) 0.5 (c) -1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 31830*f + 317800 = 0. Calculate f.\nAnswer: -6356, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*k = 2*k + 8, -w = -4*k. Let c be (-2)\/w - 65\/(-26). Suppose -c*s + 61 - 7 = 0. Is 27 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2044 (base 10) to base 15.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:15 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 + 948*h**4 - 3881*h**3 - 69552*h**2 - 53180*h + 125664 = 0.\nAnswer: -952, -6, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10935*l**3\/7 - 1296*l**2\/7 + 219*l + 42.\nAnswer: -3*(5*l - 2)*(27*l + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**2. Let w(i) be the third derivative of 0 - 1\/12*i**4 + 9*i**2 + 0*i**3 + 0*i. Give a(w(s)).\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 17 + 5. Let t = -15 - o. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000329 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((0 - -1) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -526\nAnswer: -57.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 2668 + 2800 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.84746 rounded to 2 dps?\nAnswer: -31.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2175*h**4 + 1964*h. Let p(m) = -1087*m**4 + 982*m. Let c(r) = -4*o(r) + 7*p(r). Find the second derivative of c(l) wrt l.\nAnswer: 13092*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744615 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143590076?\nAnswer: 2, 7, 47, 109111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -3*j**2\/2 + 1512. Let t(s) = 643*s**2. Determine t(o(u)).\nAnswer: 5787*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -977 + 1006. Sort s, -3, -4.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5524 divided by 61373?\nAnswer: -5524\/61373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 - (-5 + (5 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 + n**4\/4 + 9*n**3\/4 - n**2\/4 - 5*n - 3 = 0. Calculate n.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(567)*-2*6 - (-2 + 1*sqrt(567)))*5)**2.\nAnswer: -11700*sqrt(7) + 2395675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315490576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3324*t - 3315*t - t**3 + 0*t**3 + 6637*t - t**2 - 16 - 24*t**4 in the form n + s*t + u*t**2 + w*t**3 + m*t**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:52 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**3 + 71*c**2 - 94*c + 24. Give t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162383 - 370177 = 15*f. Let g = -24894 - f. What is g rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 12*v**2 + 11*v + 8. Let m = 42 - 47. Does 32 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13917, 27848, 41797, 55770, 69773, 83812, 97893?\n\"Answer: f**3 + 3*f**2 + 13915*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 33*l - 35. Calculate the remainder when 600 is divided by k(-11).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37205627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohooo. What is prob of sequence hh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-8)*y)\/((y\/y**25)\/y) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 108 = -3*t, 4*o + 5*t - 110 - 6 = 0. Suppose 20 = 188*w - 184*w. What is the remainder when o is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 121 = 11*f. Let x(i) = -12*i + 9. What is the remainder when x(f) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1039257 - -4904253752\/4719. Find the common denominator of 13\/363 and o.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:01 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:36 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000164655 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(77) - sqrt(77)*-2) + sqrt(77))*-4 - sqrt(77) - sqrt(77)))\/(sqrt(63)*-1 - -1*(sqrt(7) + sqrt(21)\/sqrt(3) - sqrt(7))).\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 29. Let w be q(16). Let d = w + -100. What are the prime factors of d?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/62315680 and 67\/22?\nAnswer: 685472480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-6)\/8). Determine x, given that 3*x - t*x**2 - 3*x**2 - x + 4*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1586 (base 13) to base 4.\nAnswer: 2201021113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 37*m\/3.\nAnswer: -m*(m - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 534001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -63104265 and -1097.\nAnswer: -63105362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/4 - 0. Let c = 49\/2 - 24. Let q = -0.05 - 0.25. What is the second smallest value in c, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**8\/36960 + o**7\/4620 + o**6\/1320 + o**5\/660 - 5*o**4\/12 + 2*o. Let g(u) be the third derivative of d(u). Factor g(c).\nAnswer: 2*(c + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + -4*(-4*sqrt(13))**2 - -2*-3*sqrt(13)) + -2*(sqrt(208) - -1*(1 + sqrt(208)))**2.\nAnswer: -2498 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4782 = -3*d, 0 = -5*b + 4*d + 1625 + 4353. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350905.9270021 + -350906. Let s = 0.02700202 - v. Let a = 0.1 - s. Round a to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.176*2.3.\nAnswer: -0.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + -94 + 13 + -6 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 609 - 1201 = 0. Suppose x - 185 = -2*o. Solve -2*f = -f + i, -o*i = -f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20246813 and -219.\nAnswer: -20247032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 2*q**2 - q + 14. Let z(h) = -8*h**3 + 6*h**2 - 2*h + 40. Calculate 17*a(x) - 6*z(x).\nAnswer: -3*x**3 - 2*x**2 - 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z - 30*z + 9*z - 1 + z**2 to b*z + n + x*z**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320626 + -5?\nAnswer: 320621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 - 54*p**2 + 40*p + 6. Let r(h) = h**2 + 2*h - 1. Let o(g) = m(g) + 6*r(g). Suppose o(l) = 0. Calculate l.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/6 + 134501*k**2\/6 - 807092*k\/3 - 1883182\/3 = 0.\nAnswer: -134513, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -4, -2151 in decreasing order.\nAnswer: 7, -2, -4, -2151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/11 and 59\/4665.\nAnswer: 51315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*l*q**2 + 14*a*l*q + a*l + 5*a*q**2 - 5*a*q + 5*q wrt l.\nAnswer: -3*a*q**2 + 14*a*q + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4160)\/(-715) - 18\/3. Sort 3, 99, s.\nAnswer: s, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275 - 988.\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90896 divided by 76.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41414, 82808, 124186, 165542, 206870, 248164, 289418?\n\"Answer: -t**3 - 2*t**2 + 41407*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/9698 - 4851\/19396. Which is the closest to 0.2? (a) -4 (b) u (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7*s)*(0 - 2 - 2)*(0 - 1 - 2 + (1 + 1 - 1)*(4 - 3 - 3)).\nAnswer: -140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3\/2 (c) -18 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -26*m**2. Let x(d) be the first derivative of -4*d**3\/3 + 108. Give p(x(a)).\nAnswer: -416*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 53 = 3*r, 2*r + 12 = 2. Suppose 0*t + 2*t - w = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dc0e (base 15) to base 12.\nAnswer: -22b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 15. Let o be m(11). Suppose -2*r + o*l = -2, l + l = 0. Solve -r = w + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 731710, 2926861, 6585446, 11707465, 18292918, 26341805?\nAnswer: 35854126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 20. Suppose s*n - 15 = 27. Let r = -1232 + 1238. Calculate the lowest common multiple of r and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 125?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9826556 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 times -5111?\nAnswer: -6051424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 17 (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/((-160)\/70) - (17\/3 + 1). Which is the closest to 1? (a) 0.2 (b) 7.5 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 34*o + 4. What is n(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + 0. Let x = -35 + n. Find the common denominator of 99\/14 and x - (-7)\/(-22)*12.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 3, b: 3, n: 1, c: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or 8138\/145?\nAnswer: 8138\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817477 is divided by 2637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 904359.\nAnswer: 904359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11124)\/(-13 - (-24 - -13)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 5438434*l - 14788282186178.\nAnswer: -(l + 5438434)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3*h**2 - 5*h - 1. Let f(o) = 2*o**3 + 6*o**2 + 11*o + 2. Let r(y) = -4*f(y) - 9*p(y). Calculate r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 + 17*a**2 + 18*a**2 + 24*a**2 - 80*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -10212?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g + 7*g + 9*g + 14*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 716291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127447945?\nAnswer: 5, 23, 239, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3\/3 - (-253)\/11. What is the common denominator of -31\/27 and (s\/110)\/((-6)\/59)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.91311 millilitres?\nAnswer: 0.09891311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 4377636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.93 + -13.93. What is the third biggest value in -2, -0.4, -5, 124\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 3*w + 88.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6*(-1)\/1. Let r = 2.6 + 1.2. Let u = r - -0.2. What is the nearest to p in u, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1475*l**3 + 1472*l**3 + 1479*l**3 + 1477*l**3 - 5901*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = 2. Find w, given that -16*w**3 - 207*w**z + 28*w**2 + 231*w**5 - 12*w**4 - 16*w**4 - 8*w = 0.\nAnswer: -1, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094 is divided by 415.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 108, -0.13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 - 2*o**3 + 13*o**2\/2 - 19*o + 39600. Suppose -3*d - v = 27, -d - 11 = -0*d + v. Calculate y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 39. What is the second derivative of -2*u + 66 - 25*u**4 - 89 - 11*u**4 + u**q wrt u?\nAnswer: -432*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.581 times 220.5?\nAnswer: 348.6105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -925*v**7\/21 + 6857*v**3\/6 - 70*v**2 + 4. Find the first derivative of a(k) wrt k.\nAnswer: -37000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h - 2*h + 21*h as n*h + k and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from 184458092.\nAnswer: 184458081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 716728417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 18*t**2 + 95*t - 156. Give g(-8).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -5 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362 + 516. Suppose -14 = -4*s + t. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/20 + 5*c**4\/12 - c**3 + 5*c**2\/2 - 21*c. Let z be p(3). Put -16, -5, z in ascending order.\nAnswer: -16, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 38*s - 144*s + 182*s + 1 - 19 - 8*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408 bigger than 0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 3:15 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 191076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7942.125 tonnes to grams.\nAnswer: 7942125000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 70 + 4*v**2 + 129 + 7*v**2 + 7*v as k*v**2 + j + m*v and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 10, -3 in descending order.\nAnswer: 10, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*f - 80, 114*r = 110*r - 13*f - 115 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -1. Suppose 0 = 2*r + 4*w - 7*w - v, -2*w = 3*r. What is the third derivative of -i - 3*i**r + 5*i + 2*i**4 - 4*i wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24107478?\nAnswer: 2, 3, 347, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 209*u + 190*u - 95*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**2*q**4 + 11*b**2*q**2 - 2*b**2 + 41*b*q**5 + 2*b*q**2 wrt q?\nAnswer: -216*b**2*q + 2460*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*z + 200*z + 182*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -23, 132, -0.2 in ascending order.\nAnswer: -23, -2, -0.2, 2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 - u**3\/3 + u**2\/2 - 32*u - 9. Let r be z(0). What is the common denominator of 21\/26 and -10*(-5)\/r*1?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -0.04. Let x = 421 + -420.7. What is the third biggest value in x, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29410 - -29399. Sort z, 687, -4 in descending order.\nAnswer: 687, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 8*v - 11. Let t be (-1 - 1)*3\/(-2). Suppose -t*l - 24 = -99. Calculate the remainder when l is divided by i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.5 (b) 2 (c) 17153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a. Let k(p) = 0*p + 2*p + 5 - 2 - 7. Determine k(t(s)).\nAnswer: -6*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Let v = n + 5. Calculate the remainder when 5 is divided by (v + 0)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.634909 and -3?\nAnswer: -7.904727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 4. Let n = -163 + 162. Sort n, -3, z in decreasing order.\nAnswer: z, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 + 446. Let n = -0.21 + 0.01. Let q = -0.2 + n. Put 0, -12, c, q in descending order.\nAnswer: c, 0, q, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**3\/7 + 24*c**2 - 336*c + 1568 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7*f - 12 = 17*f - 5*f, 338*m + f - 6*f + 323 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19944389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/(u\/u**3)*u*u**(-1)*u\/(u**5*u)*(u*(u*u**(2\/9))\/u)\/u assuming u is positive.\nAnswer: u**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 1395?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14361 times 74935\nAnswer: -1076141535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 13) to base 14.\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558\/(-22) + 10 - -15.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43804, -50, -3 in decreasing order.\nAnswer: 43804, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49647 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -42400*u + 126814. Determine v(3).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Suppose -3*u - o + 7 = 0, -u = -2*o - 1 - 6. Let k(t) = t - t - u*t + 0*t. Determine b(k(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s. Suppose s*c - 4*c = -20. Differentiate -5*x**2 + 1 + c + 1 with respect to x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -5) + -25 + -2 + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 2\/95, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/14895 and 31\/35?\nAnswer: 104265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*v + 25. Let z be 4\/14 - (5930\/910 + v). Let p = -0.1 + 0. Is p less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5.8 (b) -4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + i**2 + 7 + (-3*i**2 + 3*i**2 - 3*i**2)*(-7 + 1 - 7) + 4*i**2 - 2 + 2 in the form l*i + d + z*i**2 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3518 - 3515. Solve x*d = -7*d + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 21*u + 53. Give x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - n**3 - 5*n**3 + (3 - 3 - 2*n)*(n**2 - n**2 - 3*n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -255, -383, -511, -639, -767?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/158880 and -131\/317760.\nAnswer: 317760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 533082992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -62*r**2 + 1666*r + 1862. Determine c(28).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1174 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(3\/4)\/n)\/n)\/n**(4\/5))\/(n\/(n*n**0*n*n))**(-7\/9))\/((n**(-1))**(-11)\/(n**(-1\/4)*(n**3*n)\/n*n)) assuming n is positive.\nAnswer: n**(-887\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15252 + -21169522.\nAnswer: -21184774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375765 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5527 + 5527 - 225*r)*(6*r**2 - 4*r**2 - r**2).\nAnswer: -225*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25970 and 156880.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.2. Let u be ((-10)\/(-25))\/(34\/(-10)). Suppose 3*g = -g - 16. What is the closest to d in g, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 4*d + 678, 2664 = 4*r - 4*d. Is 2\/3 + r\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 4 (c) 100.9 (d) -930\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = 14. Let b = -6054 + 6051. Sort u, b, 0.\nAnswer: u, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Let v be j(-4). Let i be (v\/5)\/((-1)\/(-5)). Solve 3*f + 9 = -i*y, 0*y - f - 5 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6548003546707\/10008 - -654276929. Let z = -32\/79 + 40111\/98829. Let m = z - y. Find the common denominator of m and -25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -51, -82, -113, -138?\n\"Answer: x**3 - 9*x**2 - 5*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 4*v - 4*v**2 + 4*v. Let j(q) = 8*q**2. Calculate j(s(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22143709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgdd. Give prob of sequence gddt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.902773 to two decimal places.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 5. Let b be q(-3). Suppose -187*t + 25*t**b + 58*t - t**3 - 39*t + 144 = 0. Calculate t.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:32 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*c**2 - 113*c**2 + 397*c**2.\nAnswer: 712*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 64*v**2 - 186*v - 184. Determine p(-61).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyy when four letters picked without replacement from yyynyyyyyynnynny.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11aa1b (base 12) to base 11.\nAnswer: -187681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 - -127. Let z be 1*-2 + (2 - 0 - m). Sort -5, z, 38.\nAnswer: -5, z, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 175, 134, 77, 4, -85, -190?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 745680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 275\/6 - 46. Let i be (-2*1\/(-5))\/((-37)\/(-888)*16). What is the closest to -1 in c, i, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 24 = 7*s. Let n = -6 + s. Suppose j + 0*j - 1 = n. Which is the nearest to 0? (a) j (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + 7\/3)\/(40\/17040)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 8 - 29. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 5*n**3 - 10*n)*(18*n + 2*n - 41*n - 67*n) - 2*n + 2*n**4 + 2*n - n**4 + 0*n**4 + 3*n**4 + (-n**3 - 2*n**3 + 0*n**3)*(-2*n + 3*n - 2*n).\nAnswer: -433*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 371868 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 + -606. Does 3\/5 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y**2 + 562*y + 140. What is m(-30)?\nAnswer: 3980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16603291.\nAnswer: 103, 331, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 - 7*w**2 + 4*w**3 - 2 + 3*w**3 + 7*w**2 to d*w + c*w**2 + k*w**4 + o*w**3 + p and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459*c = -2181*c + 5146 + 2139 + 5225 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*u - 40 = 26, 5*r + 4*u - 137 = 0. Let o(w) = 7*w - 23*w - 11*w - r*w. Let s(c) = 2*c. What is o(s(t))?\nAnswer: -112*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:37 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/3, 3, -4, 3\/7, 0, 106896?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1241 + 12*d - 798 - 444.\nAnswer: 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44781 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a day in minutes?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 18*k - 255. Let i = 26 - -25. Calculate the highest common divisor of i and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 4, -5, -1 in ascending order.\nAnswer: -16, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 1 + 1 - 13*o - 8*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(64)\/sqrt(2))**2 + -2 + 5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -487*-1.585\nAnswer: 771.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 57 + -48 - 36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (5 - (1 - (-1 - -1))). Which is the closest to -0.1? (a) 8 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(9\/4)*l*l**(6\/25))\/(l*l*l\/l**(1\/13)*l*l)**(-34))**(-1) assuming l is positive.\nAnswer: l**(-222137\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 3*t**2 - 6*t - 6. Let q(j) = -2*j**3 - 3*j**2 - 7*j - 7. Give 6*q(f) - 7*s(f).\nAnswer: 2*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*-2*20\/30. Which is the closest to 2\/7? (a) t (b) 1\/8 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 15.38.\nAnswer: 7.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 25. Suppose 2*o - 70 = -4*x + d*x, o - 5*x - 65 = 0. Suppose o = -s + 3*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15466233 is divided by 2022.\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3\/4, 6, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m = -1313 + 1649 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221010 (base 3) in base 16?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13021 and -5.43?\nAnswer: 70704.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/80 and 113\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h**2 + h - 4. Let g be o(4). Suppose g = -4*y, 5*p - 136 = 3*y - 4*y. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759437424 a multiple of 4346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -22\/360677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 1 - (240 + -244)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Give q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74388 is divided by 314?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23096 is divided by 4506.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-3 + 1 + 0). Suppose -n = -2*z + 2. What is the first derivative of -5 + z + 0*s**4 - 4*s**4 wrt s?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*c - 5*v, 5*c - v = 3 - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.27 from 34.\nAnswer: 35.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from ogbpgapa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*w = -2*z - 12, 0 = -z + w - 3. Suppose z = 4*i - 3*y - 65, -y = i - 14 + 3. Suppose -2*p + 16 = -i. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2 - f + 7 - 6 + f**2. Let a be y(0). Suppose -15 = -5*c, -a*j + 10 = 4*c - 5. Let p(v) = 6*v**2 - v. What is p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -7 + 19 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 15.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540, -554, -586, -642, -728, -850, -1014?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 1003, 2134, 3717, 5752, 8239?\nAnswer: 11178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 5*a + 27. Determine k(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 189273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - -108. Suppose -5*n + 7*n + r*w = -18, n + 4*w + 17 = 0. Put 70, n, -3 in ascending order.\nAnswer: -3, n, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)\/((-3)\/(-57)). Let o = j - 17. Suppose -4*m = -4*v - 60, 0 = 5*m - o*v - 38 - 22. What is the remainder when 36 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8, -3*n + 2*g = -8026 - 4233. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/285, 2\/11, 0.5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 2. Suppose 0*z - 3 = -3*z. Let j be v(z). Solve -m = -p, j = 3*p - 7*p - 2*m - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 divided by 227\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 23 - (-1 + 1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times -0.086?\nAnswer: 4.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224.117394 - -224.1. Round q to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -8)\/(3\/3). Let u be 6\/10 - (-219)\/(-15). Let x = -10 - u. Which is the nearest to q? (a) 1 (b) x (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4402?\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 65573.39 microseconds?\nAnswer: 65.57339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18240 - -18244. Solve 8 = -5*z + c, -w*c + 32 = 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-89310)\/(-20) - 2*1\/(-4)?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 290. Suppose 0 = 4*i + 42 - t. What is the greatest common divisor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27002434 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24433 is divided by 787?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o)**4*(o**(1\/3)*o)**(5\/11) assuming o is positive.\nAnswer: o**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -0.03. What is the nearest to 1\/3 in 1\/8, d, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/4, 16, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/24 - 10*l**2. Let z(r) = -r**2 + 2. Let f(b) = -4*b**2 + 10. Let p(n) = 3*f(n) - 14*z(n). Determine 2*o(c) + p(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -101776 (b) 0.4 (c) 28 (d) 0.2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + 0 + (32 - 48). What is the nearest to -0.1 in x, -1, 0.1, -143?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 25 - 75 = -5*g, 2*g + 3*u - 29 = 0. Let r = 20 - g. Suppose 13 = -5*x + 3. Is r bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2039 + -46?\nAnswer: -2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 9. Let r = a + 6. Suppose r*d = -5*d + 15. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {k: 4, c: 1, w: 2, q: 1, b: 2, e: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*t + 137*t - 187 = 0. Is -17 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + -1 + 1. Suppose y = -2*f - 10, 4*f - 370 = -5*z + f. Calculate the least common multiple of 7592\/949 + (-3)\/(6\/14) and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let b be (-14)\/77 - v\/(-22). Solve -s - 4 = -b*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 3*t**2 - 3*t + 4. Let v(l) = 4*l - 5 - 3*l + l + 3*l**3 - 1317*l**2 + 1315*l**2. Give -2*o(w) - 3*v(w).\nAnswer: -5*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*z - 369*z = -7495150. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 13. Let l be ((-2)\/5)\/(4\/g). Factor 18*f - 17*f - 2*f**2 - 25 - 11*f + f**l.\nAnswer: -(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 - -0.25. Let m = 0.07 + b. Let n = -113 - -112.89. What is the second biggest value in m, 1\/3, n, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 145. Let u(w) = 94*w + 4. Let z be u(2). Suppose 2 = 4*m - 2, f = d - 4*m - z. 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 u(l) = -6*l - 15. Give u(8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w - 30 = -17*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7194*w - 6675*w + 11418 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 + (-4 + 6 - 1)*(-3 + 6 - 4) + 4 - 1 - 5)*(2*b + 0*b - b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1 + sqrt(75) + -1 + sqrt(75) + sqrt(75) + sqrt(75))*4)**2 + -2 + sqrt(75) + 1 + 3)*-6.\nAnswer: -22950*sqrt(3) + 346788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 2464.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.4 rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.25 and -59.\nAnswer: -486.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i + 1. Let d be z(3). Suppose 4*f + d*s = 580, -2*f + s + 407 = 123. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19273868283 and -287.\nAnswer: -19273868570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/120 + u**5\/60 + 17*u**3\/2 - 18*u**2. Let q be -3 + 4\/2 + 1. Is v(q) 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 {i: 2, r: 1, d: 2, k: 2, m: 1, x: 1}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p**(3\/7))**(-8))**(-3\/32) assuming p is positive.\nAnswer: p**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4200*t**4 + 9*t**2 + 86*t - 41. Let w(p) = 4201*p**4 - 10*p**2 - 87*p + 45. Let s(m) = -10*q(m) - 9*w(m). Find the second derivative of s(o) wrt o.\nAnswer: 50292*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -128652*i**2 - 4*i. Let u(s) = 42*s**2. Give w(u(c)).\nAnswer: -226942128*c**4 - 168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o. Suppose o = 2*y - 0*y - 8. Suppose -2*r = y*b - 44, -3*r - 5*b + 88 = r. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30378 and 67\/12?\nAnswer: 60756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*t - 125*t - 100*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139830\/67 - 2087. What is the biggest value in -0.5, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, 37, 44, 53, 64?\n\"Answer: m**2 + 2*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 754440 and 12?\nAnswer: 754440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40092 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:37 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -u + 17, -y - 95 + 106 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 18 = -3*d, -d + 4*q = 2. Suppose -d*m = -76*m + 16011600. What is m rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35956 by 728.\nAnswer: 8989\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -28 - (15 + 2 + -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 6 = 4*h + 4*o, -5*h - 4*o - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/335 and 42\/335?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -270791 and 2.6?\nAnswer: -704056.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-26))**(2\/15)\/(j**(-2\/35)\/j**(1\/3)) assuming j is positive.\nAnswer: j**(419\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5440915 is divided by 3145?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -121 + 49 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -2255625?\nAnswer: -2255604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = u, -4*u + 5*y = -0*u - 33. Let h be (-34)\/(-8) + (-3)\/u. Suppose 0 = -h*v + 1 + 7. Solve -v*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/14 + (-10)\/35. Let o = 10 + x. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -590 (base 11) to base 2.\nAnswer: -1011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + z - 1. Suppose -3*a = -3*k + 39, 6 - 27 = a + k. Let b = -12 - a. Let h(d) = -3*d**3 + 5*d**2 + 3*d - 6. Determine b*w(c) - h(c).\nAnswer: -2*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -2*a - 3*o, -5*a + 2*o + 395 - 100 = 0. Suppose 6*h = -a + 113. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 2 + 2 + a**3 + 0*a**3 + a**3 + a**3 + 4 - 4 + (-9 - 10 + 1)*(a**3 - 2*a**3 + 2*a**3) + 0*a**3 - 6*a**3 + 4*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -4, -5*t = -3*p - 3. Suppose -7*n = -10*n - f + 2, n = 2*f - 4. Solve n*j - t = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 + 110*t**4 + 13273*t**3 + 306922*t**2 + 1217160*t = 0?\nAnswer: -46, -28, -5, 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 16*y**2 + 14*y - 9. Suppose 11 = -p + u, 3*p - 2*u + 70 = -2*p. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*r**5 + 7*r**5 + 10*r**5 + (-1 - 1 + 1)*(-r**5 + 4*r**5 - 4*r**5).\nAnswer: -19*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24753, 49521, 74289?\n\"Answer: 24768*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:36 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -525, 3, 11 in descending order.\nAnswer: 11, 3, -2, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + 1044. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13020 + 18557. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f + 2*f. Let h(o) = 21*o - 46. Let n(j) = 68*j - 137. Let c(p) = 7*h(p) - 2*n(p). Let b be c(5). Solve 5*x - d + f = -b, -x + 2*d = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.6124 and 1759.\nAnswer: 18667.2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - a)*(11 + 2*a - 11) - 4*a + 6*a**2 + 4*a + 0*a**2 - 3*a**2 + 0*a**2 + (-a - 3 + 3)*(2*a - 2*a + a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 114*s - 63*s - 57*s. Calculate y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/504 - r**6\/720 - r**5\/120 + r**4\/6 + 4*r. Let d(t) be the third derivative of g(t). List the prime factors of d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(847) - sqrt(847)) + sqrt(847).\nAnswer: -22*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5020259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/27 + ((-84)\/(-54))\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 183 = 45*k + 15 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304262 and 31106?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131350*n**2 + 224*n + 83 wrt n.\nAnswer: -262700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -122. Let n be 2\/1 + (-4 - -2). Which is the third biggest value? (a) 0.5 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90830 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:26 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79.46172 kilograms?\nAnswer: 79461720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/63)\/(-2 - (0 + -1)). What is the nearest to 1 in 0.3, 3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 7*b - 4. Let i be 34\/16 + (-3)\/24. Suppose -2*d = 4*q - 4, i*q = 3*d - 0*q - 6. Suppose d*n - 38 = -26. Give u(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 849 - 850.8. Let a = -3.73 + -0.27. Sort -5, a, d in decreasing order.\nAnswer: d, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -174\/157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 104, 498, 1268, 2540?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -101200011101 (base 3) to base 12\nAnswer: -a169a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85536219 bigger than 85536217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5.9.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961173553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -87. Suppose -3*n = k*p - 2*p - 87, -5*p = -3*n + 60. Suppose n*q + 4 = 26*q. Put q, -3, -4 in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -3 + (-2 - 15) + 5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -107. Let m(f) = 3*f**2 + 7*f + 10. Let o be m(h). Let s be o\/9 + (-4)\/(-6). Is 2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. What is the nearest to v in -1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:04 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 130 + 66 + 64. Let b(r) = 2*r**2 + 4. What is b(c(v))?\nAnswer: 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -31306\/9, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 930 and 651.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n - 14. Let m be ((-32)\/48)\/(2\/6). Let o = m - 6. Let h(x) = -9*x - 9. What is o*h(f) + 5*q(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -395*994164\nAnswer: -392694780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/2 - 9*f**3 - 61*f**2\/2 - 21*f = 0.\nAnswer: -2, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 17.22. Let g = 0.08 + -0.28. Let x = 90\/7 + -796\/63. Put g, n, x, 0.2 in decreasing order.\nAnswer: x, n, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 - 691*l + 3*l**4 - 28 + 9*l**3 + 691*l - 4*l**3 as g*l + p*l**3 + b*l**2 + m*l**4 + s and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 6 + (4 - 3 - 6). Which is the nearest to 0? (a) 6 (b) -2\/3 (c) -0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(21 - 37 + 18 + 6*m).\nAnswer: -6*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 246 = 13*w + 4*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 1. Let v = -44 + 26. Let r be (1\/(-3))\/(2\/v). Suppose 2*d + r = -1. Determine m(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 123*w + 211*w + 503 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 26 + 26 + 0*b.\nAnswer: 3*b + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l*l*l**1))*l)**30\/(l**(3\/2)\/l**(-7)) assuming l is positive.\nAnswer: l**(283\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - 1*sqrt(336))*3*-5)\/(-3*2*sqrt(343)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544145745.\nAnswer: 5, 29, 10649281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*z + 12 = 128, 3*n = -5*z + 175. Calculate the remainder when n is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 6*y - 6. Let j = 89 + -87. Let t be (36\/((-6)\/2))\/j. Give m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -811*t + 12 - 3262*t - 4 + 12 - 21 in the form v + w*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -877.6.\nAnswer: -877.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2637581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 + 3*h. Calculate p(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from vvveebscvvccvcc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -21. Is 4\/w - 842\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f + 241*f + 72 = -520 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1046450640 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-12) + 2\/12. Let j = -170 - -238. What is the units digit of 1\/2*j\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 11 + 25. Let l(b) = b**2 + 2*b - 7. List the prime factors of l(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3193 + -25627\/8. Find the common denominator of g and 1 + 1 + 973\/(-154).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5787702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42777.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 - 8*m + 6. Let k(t) = 4*t**2 - 3*t + 2. Suppose 0*w - q = -4*w + 31, 2*w = -5*q + 21. Let z(r) = w*k(r) - 3*o(r). Calculate z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 98*n - 96*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2.1277295.\nAnswer: 4.255459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 0 + 0)*(1099 + 380 + 205) in the form h + b*x and give b.\nAnswer: 3368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 132*u**2 - 17845*u - 47. Calculate a(215).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 110. Let l(d) = 4*d - 3. Let q be l(2). Let j(p) = 2*p - 12. Let t be j(9). Solve -5*o - k = 5*x, t*x - q*o = x - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13264, -26506, -39732, -52942, -66136, -79314, -92476?\n\"Answer: 8*i**2 - 13266*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 865470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/10956 - -20549\/71214. Let a = 1\/26 - h. Suppose -4*s - 19 = 1. Sort a, s, -0.5 in decreasing order.\nAnswer: a, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 5*q + 170, -5*i + 340 = 3*q. Let r(c) = i*c**2 + 1 - 64*c**2 - 1. Let l(t) = 59*t**2. What is r(l(u))?\nAnswer: 3481*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3708495*h**2 - h. Let k(q) = 7*q**2. Give o(k(l)).\nAnswer: 181716255*l**4 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -352 + -1?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2059376568 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -179*i + 7 + 93*i + 85*i - 18. Give d(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -191, -183, -193, -227, -291, -391?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17. Let g be (1\/(-2))\/((-3)\/12). Let o(p) = 0*p**g + 2*p**2 + p**3 + 3*p**3 - p. Give o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 8 - 23 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 19. Let s be 20\/10 + 3*2. Let y = -22 + s. Let g be c(y). Are 3 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2182 + 1156 + 2301)*(-4*y + 2*y + y).\nAnswer: -1275*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 + 4. Let f be (-37)\/((-1221)\/770) - 22. Sort f, -14, g, -4.\nAnswer: -14, -4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81693 is divided by 400?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2)\/((-4)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1 - (-8 - (-36)\/(-6)). Suppose -m - 2*m = 27. Let k = m + u. Which is bigger: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 3. Let v be u(-4). Suppose -3*z + v = -15. Suppose 30 = z*g + 6. Let c(p) = p**3 - 5*p**2 + 3*p + 4. Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4.4. Let y = -1.3 + g. Let h = y + -1.5. What is h rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:29 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -207, 97, 4, 0, -1 in decreasing order.\nAnswer: 97, 4, 0, -1, -4, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 7) in base 5?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.7079\nAnswer: 3.5395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let u(y) = -9*y**4 + 7*y**2 - 34. Let d(a) = -5*t(a) - u(a). What is the first derivative of d(p) wrt p?\nAnswer: 36*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:51 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, v: 5, i: 2}. Give prob of sequence vi.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(95) + sqrt(95)*1)*4 - sqrt(95) - ((sqrt(95) + 2*sqrt(95))*-1 - sqrt(95))))\/(sqrt(15)\/sqrt(192) - (2*sqrt(30))\/sqrt(6)))**2.\nAnswer: 2354176\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/(-310)*((-3)\/(-2))\/3*130\/(-585)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2561780 and 9440.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/((-720)\/(-114)))\/(22\/(-15)) and 107\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19763 not equal to 2\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 32218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 2*i. Let o be q(2). Suppose -f - o = -12. What is the closest to -2 in -2, f, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -26, 0.2, -147?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(99)*1*3*-6)**2.\nAnswer: 432*sqrt(11) + 32092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let w(r) = -63485*r**2 - r. Give j(w(a)).\nAnswer: -63485*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2 + 4*n - 5. Let f be o(1). Let u(h) = -h**3 + 8*h**2 - 6. Calculate u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2015)\/(-221) + (-2)\/17. Let v(d) = -1 - 2 + 4*d**2 - 9*d**3 + l*d**3 + d - 2*d**3. Determine v(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14112+-16.8\nAnswer: 14095.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvw when three letters picked without replacement from wrwvrwwvrvwwv.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 32*i - 92 = 0, -348*i = 2*o - 346*i - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 85. Suppose 16 = -4*k - 4*x, 7*k - 2*k + 3*x = -12. What is the nearest to k in -0.1, 3\/4, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 120159704*g\/3 - 1804794308170952\/3.\nAnswer: -2*(g - 30039926)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -14, 344, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*(-54)\/60.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 490, 1582, 3660, 7042, 12046?\nAnswer: 18990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -79*s. Let m(b) = -40*b. Determine 9*m(j) - 4*p(j).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-111)\/(-39) + (-6)\/(-39). Suppose d = u*d - 134. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2 + sqrt(72) - sqrt(72))*-4 - -5*(1 + sqrt(200))))**2.\nAnswer: 32500*sqrt(2) + 129225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 12367.\nAnswer: 3\/12367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 762 = -3*v, -1009 = -9*v + 5*v - y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 2*v + 2. Let l(g) = -3*g**2 + 8*g - 25. Calculate -4*k(y) - l(y).\nAnswer: 7*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.033? (a) 0.6 (b) 2 (c) -36.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -150, -206?\n\"Answer: -56*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:34 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -1063. Let p = l + -616. Suppose -13*i + 5*i = -p. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 79, 116, 153, 190, 227?\n\"Answer: 37*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 27*b**2 - 87*b - 70. What is i(23)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**4 - 5*l**3 + 4*l**3 + l + 11 + 11 - 11 + 4*l**4 as q*l**3 + m*l**2 + y*l + d*l**4 + g and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*r = 114*r - 91*r + 5174 + 6346 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 8, 423, 4, 35 in descending order.\nAnswer: 423, 35, 8, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 - 2*k - 1. Suppose 26 - 27 = w. Give r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 4*p - 4, 2*w = 4*p. Let d = 3160 - 3165. Which is the smallest value? (a) d (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (7 + (2 - -1) + -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10 and 65\/11134.\nAnswer: 55670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4 (c) 15\/5171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 - 3*a - 2*a**4 + a**3 + 619*a**2 - 606*a**2 to r*a**2 + o*a + k + b*a**3 + h*a**4 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*z - 2*z + 373, 5*o - 415 = -4*z. Suppose -p + o = -144. Find the common denominator of -47\/10 and p\/(-36) - (-1 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:56 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -3\/2 (c) -85\/1594 (d) -12 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z - 4*l + 412, 4*z = -5*l + 407. Let j = 56 - 105. Let h = j + z. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -5, -0.2, -0.3, 0.009 in descending order.\nAnswer: 0.03, 0.009, -0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114175 is divided by 17743?\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46950*i - 46952*i - 52 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {w: 4, r: 15}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 2115*x**2 + 2114*x = 0 for x.\nAnswer: 0, 1, 2114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(((-2079)\/(-14))\/(-11))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 22*w + 19*w)*(-398*w + 200*w + 204*w).\nAnswer: 234*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 + o - 4. Let s be z(0). Calculate the lowest common multiple of ((-220)\/77)\/(s*(-1)\/(-14)) and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-20)\/10 - 2*2). Solve -2*o = 11 - x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.455 and 0.3?\nAnswer: 0.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17784, -70714, -158934, -282438, -441220, -635274, -864594, -1129174?\n\"Answer: q**3 - 17651*q**2 + 16*q - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 7520538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 divided by -851?\nAnswer: -402\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3750.899 - 3773. Let m = -0.101 - k. Do m and -3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1663, -1649, -1623, -1585, -1535?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 340131883697+-0.1\nAnswer: 340131883696.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-16 + 3 - -12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d + 9. Let v(z) = 10*z + 6 + 10 + 0 - 3. Give 7*l(i) - 5*v(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388506 - 388506 - 2*f + 4*f - 2*f + 1976*f**2.\nAnswer: 1976*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 - 2324\/9. Let t = 4.5 + -4. Let q = -1.2 - -1. What is the second biggest value in q, t, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**2. Let w(a) = 1. Let t(n) be the second derivative of 1\/6*n**3 + 0 + 2*n - 2*n**2. Let m(k) = t(k) + 4*w(k). Determine c(m(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1522*h = -1521*h - 1, -s - 3*h + 15 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/60 + k**3\/6 + 63*k**2\/5 + 30*k. Determine f so that z(f) = 0.\nAnswer: -9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.60126 days in milliseconds?\nAnswer: 5667948864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -58*i - 85. Let o be c(-9). Let l(m) = 610*m**2 - 2 - o*m**2 + 2. Let p(a) = -a. Calculate p(l(x)).\nAnswer: -173*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - d + (0 + 3 - 1)*(2*d + 0 + 0) + (-2*d + 0 + 0 + (-4*d + d + 2*d)*(-3 + 4 + 1))*(3 - 1 + 1).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.7, -3\/7, 0, -261, -440 in decreasing order.\nAnswer: 0.7, 0, -0.2, -3\/7, -261, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s - 16. Let d be w(-8). Suppose 3*m - 3 = -d*m. Let t(c) = c**2 + 5*c - 5. Let u be t(-5). Put u, -1, m in decreasing order.\nAnswer: m, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 29\/2*f**2 + 17\/6*f**3 + 8*f + 0. What is the derivative of o(u) wrt u?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2. Solve -3*b - o = -9, -v*o = -0*o - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(1\/4)))\/(u*u*u**(2\/11)))\/((u**6*u)\/u*u**(2\/7)\/u*u*u) assuming u is positive.\nAnswer: u**(-3147\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.215618 minutes to nanoseconds.\nAnswer: 252937080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*c - 38 = 0, -3*y = -6*y + c + 22. Factor -5*m + 4*m + 5 - y*m + 2*m**2 + 3.\nAnswer: 2*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {i: 2, l: 2, k: 3, w: 4, g: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2497264 and 23408?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.1 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 55*h + 34. Determine z(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (114\/9)\/(6\/9) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2 + 2*y - 2. Suppose b - 12 = -5*s, -3*b + 16 = 2*s + 6. Suppose 45*d - 46*d - s = 0. Let q(j) = 15*j**2 - 5*j + 5. Give d*q(n) - 5*z(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6e7 (base 16) to base 6\nAnswer: 12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 3 + 47 = 0. Suppose -w*a = 28 - 3. Let t(k) = -2*k + 2. Give t(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47928 and 72.\nAnswer: 143784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2227, 4456, 6685, 8914?\n\"Answer: 2229*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1447037112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/44 + 57*(-1)\/(-11). Suppose -s + p + 18 = 0. Is s > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 6. Let z be p(-2). Let i = z + 6. Let t be (-9)\/(-5 - (-30)\/((-5)\/(-1))). Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4418541 (base 9) in base 3?\nAnswer: -11110122121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, 0, 1, -4, -7 in descending order.\nAnswer: 189, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-80)\/550\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838352531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 1456 - 1456.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-6)\/12)\/1. Let w(h) = -h**2. Let l(s) = 4*s**2. Determine j*l(k) + 3*w(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -2*x - 4*w, -5*x - w + 2146 = 2088 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -222001 (base 3) to base 10\nAnswer: -703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.6257133ns?\nAnswer: 0.00000000000011140871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12587\/5084 - (-10)\/(-4). Let f = 7\/31 - h. What is the nearest to 0.2 in -0.2, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3039 + 100289\/33. Which is the third biggest value? (a) f (b) -0.4 (c) -1\/11 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36338, 0, -5, -4, -2, 3 in increasing order.\nAnswer: -5, -4, -2, 0, 3, 36338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27294776, -54589553, -81884330, -109179107, -136473884?\n\"Answer: -27294777*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/3 - 3500*t**4\/3 + 21056*t**3\/3 - 28096*t**2\/3 = 0.\nAnswer: -1756, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 7*b - 6 + 3*b + 4*b - 6*b + (-4*b + 3*b + 0*b)*(-2 + 2 - 1))*(-b + b - 3*b**2) to the form c*b + g*b**3 + w + u*b**2 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4097*z + 4114*z + 11 - 28 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2716*n**2 + 899*n**2 + 904*n**2 + 906*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5036 - 14*d**2 - 5036 - 5*d.\nAnswer: -14*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 22 + 82 = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - (1 + (0 - 2))) + 4. Let y = 25 + -3. What is the remainder when 0 + 42 + z + -1 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from snnwzqcwc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let q(f) = 5 + 8*f - 5 + 0. Calculate c(q(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -25*k**2 - 65*k - 26. Let c(w) = -17*w**2 - 42*w - 19. What is 14*c(i) - 9*g(i)?\nAnswer: -13*i**2 - 3*i - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5 - 1235*w**4 + 102090*w**3 - 2857700*w**2 + 2756840*w = 0.\nAnswer: 0, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30*1)\/((-448)\/(-1120)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(4 + -1). Let u(b) = -3*b - 15. Let z(y) = 3 - 1 - 1 + 0. Let x(q) = o*u(q) + 6*z(q). Differentiate x(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 884*y**2 - 105*y + 549. What are the prime factors of b(6)?\nAnswer: 3, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n + 4. Let j be d(0). Let t(u) = 21*u**3 - 2*u**2 - 4*u + 4. Let m be t(j). Round m to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.6178 times -4\nAnswer: 82.4712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 14. Let b = -9.93 + o. Let a = b + -5.07. What is the second smallest value in a, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/124712 and -55\/2096.\nAnswer: 249424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let q be 0\/(-3) + (2 - 2). Let f(a) be the third derivative of 2*a**2 + 0*a**4 + q*a + 0 + 0*a**3 - 1\/60*a**5. Determine u(f(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/57 and 42\/67.\nAnswer: 3819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-9))\/s)\/(((s\/s**(2\/13)*s)\/s)\/s*s)*s**(-5)*s**(-2\/13) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:55 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9800393 is divided by 132437.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050293 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4143 + -4040. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, -2\/5, 0.18, -28, -1\/6 in ascending order.\nAnswer: -28, -2, -2\/5, -1\/6, 0.18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/21, -20\/7, 3, 7\/32?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1499*a + 450*a**5 - a**6 + 680*a**2 + 159*a**5 - 54*a**3 + 1 - 678*a**2 + 52*a**3 wrt a?\nAnswer: -120*a**3 + 36540*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*z + 4 = 9, -2*c + 5*z + 13 = 0. Are c and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.06, 0, 3701, 44, 2, 0.1?\nAnswer: 3701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -664696.21 + 677030. Let z = o + -12333.78000082. Let g = z - 0.01. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 493, 429, 153?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037436.\nAnswer: 2, 3, 86453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 40 = 2*q. Calculate the smallest common multiple of -21*4\/(-10) + 10\/(-25) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, w: 6, p: 4}. Give prob of sequence wwxp.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*p**3 + 252*p**3 + 144*p**3.\nAnswer: 897*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/5)\/(1\/10). Let l = z + -27. What is the second derivative of 4*o**4 - l*o + 0*o - 4*o - 2*o wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 278, 418, 530, 614, 670, 698?\n\"Answer: -14*d**2 + 182*d + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-52) + 4\/(16\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13476, -16180, -18886, -21594, -24304, -27016?\nAnswer: -29730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.6 + 61.4. Let t = -48.6 + p. Round t to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v - 29*v + 214*v = 1896 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.84 - -432.84. Is 1\/4 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 7, z: 1}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 255161?\nAnswer: -255163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*((-2*w**2 - 3*w**2 + 7*w**2)*(0 - 3 + 5) - 2 - w**2 + 2) to p*w**2 + l*w + t and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 11*m + 22. Let r be s(-6). Let d = -4 - r. Find the second derivative of 36*w - 6*w**4 + 7*w**4 + 28*w**d - 7*w wrt w.\nAnswer: 348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*y = 11848, -3*y = 5*m - 4*y - 29584. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4168\/266455?\nAnswer: -4168\/266455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t - 119 = 66*t - 1757. Calculate the lowest common multiple of t and 1962.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w. Which is the nearest to 2\/7? (a) -0.1 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 5 - 0) + 96 + -95. Put -5, w, 14, 0, 3 in ascending order.\nAnswer: -5, 0, 3, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 7*l + 6. Let n(m) = 7*m - 7. Let u(d) = -3*n(d) - 2*t(d). What is the tens digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i + 3. Let t be m(5). Suppose 0*q + t*q = 981. Suppose -4*c + c = -q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 53*t + 2678. Let r(l) = 34*l. What is z(r(s))?\nAnswer: 1802*s + 2678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 71021 divided by -23688\nAnswer: -71021\/23688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2477, 5118, 7917, 10862, 13941, 17142?\n\"Answer: -2*l**3 + 91*l**2 + 2382*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 11*s**2 - 26*s.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 14*v - 7*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -53. Suppose 0 = 11*a + 23 + 65. Let g = a - t. Solve f - 4*h = -3*f, -g*h - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)\/(((-490)\/(-294))\/((-1)\/(-3)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*t**2 + 160*t + 100.\nAnswer: 5*(t + 2)*(11*t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.9 - 13.8. Let h = 2.6 - 0.6. Let p be 6\/(-4) - (-2)\/6. What is the third smallest value in n, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(425) + 5 + sqrt(425)).\nAnswer: -50*sqrt(17) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-80)\/260)\/(-4))\/(2\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -63?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6035, 12055, 18025, 23921, 29719, 35395, 40925, 46285?\n\"Answer: -4*d**3 - d**2 + 6051*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3311, -4221, -5143, -6083, -7047, -8041, -9071, -10143?\n\"Answer: -n**3 - 903*n - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/((-3 - -2)\/15). Let p = n - -4. Which is the closest to 0.1? (a) -3\/4 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + 0 + -4)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgttvtghhshhgvst. What is prob of sequence hhsg?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137563, 137564, 137567, 137572, 137579?\n\"Answer: m**2 - 2*m + 137564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 7. Is d(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 5. Let f(q) = -q + 1. Let y = 16 + 36. Let c be (13\/y)\/(45\/(-24) + 2). Give c*f(t) - m(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1541 and 483?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 449.3 + -477. Round w to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14257 equal to -14086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -10*h**2 - 20 + 20\/3*h**3 + 0*h - 5\/4*h**4. Suppose u(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*p**4 - 2287*p**3 - 2*p**2 + 94*p - 1516?\nAnswer: -1920*p - 13722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/3, -51, -0.3, 2\/5 in increasing order.\nAnswer: -51, -2\/3, -0.3, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2836617.7.\nAnswer: -5673235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 + 4*m**2 + m**2)*(-6 + 0 + 2)*(-4 - 2 + 1) as r + t*m**2 + f*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 43473?\nAnswer: -4347.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50811, -50776, -50717, -50634, -50527, -50396?\nAnswer: -50241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -3 - (203 + -188).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 2*x)*(1769 + 2235 - 1141).\nAnswer: 8589*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 918 - 1491. Let b(y) = 50*y - 117. Let f be b(4). Is x\/(-12)*(9 + f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 6*v - 45 = -u, -v + 9 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22614.5 + -22615. What is the closest to -0.2 in 39, -0.3, 0.4, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 18 - 58. Calculate the smallest common multiple of k and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeggtgvvgetgevivgg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + u = -o + 17, 5*u - 5 = 0. Calculate the smallest common multiple of o and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 11:12 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(528)*1 - sqrt(528) - sqrt(528) - sqrt(528))\/sqrt(11) - (0 + sqrt(3072) + (sqrt(480)*2)\/sqrt(10)))**2.\nAnswer: -96*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10821896999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1034 - -2253\nAnswer: 3287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let b = -0.3 - -0.2. What is the nearest to o in b, -2, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33909 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 18 = -4*c, 5*r - 14 = 4*c + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 144.93?\nAnswer: 724.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 182731679.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11 = -9, -4*t + 4*n = -16. Suppose t = 3*p - 6*p, 0 = -c - 2*p + 5. What is the remainder when c is divided by (-1)\/((-2)\/4*(-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001264674921 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-30 - -12) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 9, e: 2}. Give prob of sequence eww.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 71. Suppose -80 = -b*r + 13*r. Suppose 4*n = 5*h + 2 - 0, 2*n - r*h + 4 = 0. Solve l + 16 = -n*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27 + -1)*(7 + 0 - 8)*19 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2. Let z(h) = 13*h**2 - 8*h - 99. Let s(b) = -r(b) + z(b). Is s(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Suppose i*p - 6 = -4*g, g - 4*p = 5*g. Which is the nearest to g? (a) 3 (b) 2\/17 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-45)\/(-12))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*m - 13135, 16*m = 2*p + 19*m - 6569. Does 67 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = 2. Let m = -9 - -5. Let r(c) = -c**2 - 3*c + 4. Let u be r(m). Solve u = -4*q + t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5))**30\/((t\/(t**(-1\/11)*t))\/(t**(-2\/11)\/t)) assuming t is positive.\nAnswer: t**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-234) - 10\/(-104). Let h = 100 - 999\/10. Which is the third biggest value? (a) h (b) 2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 717*n + 284. Determine m(143).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfpmmmfmfmmmmmmmfmm. What is prob of picking 2 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1284082 + -1255517.8715918. Let o = -1255507.9999997 - h. Let j = -10 + o. What is j rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20737.\nAnswer: 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450) + ((sqrt(450)*1 + sqrt(450))*-5)**2.\nAnswer: 15*sqrt(2) + 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1566 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2472?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 375. Suppose g + 0*g = 4*k + 16, 3*g + 5*k - 116 = 0. What is the remainder when h is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 26 + 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 11440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206882 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 7*z)*(1 - 1 - 1)*(90 + 979 + 44) to the form p*z + f and give p.\nAnswer: -7791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/186 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/1185 and 101\/36.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6985 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12696 + 2\/3*d**2 - 184*d.\nAnswer: 2*(d - 138)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 4\/5 (b) -1 (c) -0.03 (d) 0.4 (e) 0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 293000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3416 by -61.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 47687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529940 + 655578 - 218669 = 169*s. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*1)\/(3\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:17 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*d*j**2*n*z**3 - 2*d*j**2*n*z + 2*d*j*n*z**2 - 39*d*j*z - 3*j**2*n - 18*z**3 wrt j.\nAnswer: 720*d*n*z**3 - 4*d*n*z - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/4 + k**3\/3 - 3*k - 8. Give n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(4\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/112 and 113\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566 and 589489.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - 3*n - 16. Let j be m(0). Let t(f) = -128*f + 29. Is t(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2*n**7\/105 + n**6\/15 + n**5\/15 - n**2 - 2. Let q(o) be the second derivative of u(o). Determine k, given that q(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.04, -2\/13, 2\/13 in increasing order.\nAnswer: -1, -2\/13, 0.04, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r**3 + 771*r**2 + 7692*r - 1971 = 0. What is r?\nAnswer: -9, 1\/4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319.6172 - -0.0828. Let y = -366 + v. Let c = y + 45.898. Round c to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46605 + 46605.00026109. Round o to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138926205 by 280659.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 75*r**5\/4 - 75*r**4\/4 + 15*r**3\/2 - 3*r**2\/2 + 9*r. Factor i(a).\nAnswer: 3*(5*a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-3)*(-5 + 4)*-21. Let k be 7\/q - (-3 - (-81)\/21). Let t be 7\/(280\/(-204)) - 3\/k. Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119929397+13.8286\nAnswer: -119929383.1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -9, 4\/579, -1\/2, 16 in descending order.\nAnswer: 16, 4\/579, -2\/19, -1\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m - 2*m + (3 - 3 - 3*m)*(-9*m + 3*m + 10*m))*(-11*m - 8*m + 12*m + 2).\nAnswer: 77*m**3 - 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(-61 + 133 + 144).\nAnswer: -216*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -9\/4, -0.3, 0, 2, -1\/3 in descending order.\nAnswer: 9, 2, 0, -0.3, -1\/3, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*t + 6 = -52, 0 = -4*m + 5*t + 98. Let v = -18 + m. Suppose 3*x + 2*d - 192 = -2*d, v*d = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r + 39. Let k(z) = -6 + 9 + 49*z + 17 - 53*z. Determine 6*a(i) - 13*k(i).\nAnswer: -2*i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 396, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let m(w) be the first derivative of -1706*w**3\/3 + 6894. What is n(m(o))?\nAnswer: -2910436*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + f + 3*f - 2*f + 2*f - 2*f + (0 + 3 - 1)*(-f + 0 + 0) + (12 + 17 - 12)*(104 - 104 - 2*f))*(-2*f**3 - 3 + 3).\nAnswer: 80*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30757737 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114.68 + 115. Let t = -21 + 20.9. Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28173, -45150, -62127, -79104?\n\"Answer: -16977*h - 11196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19637 - -19639. What is the closest to j in -0.05, -1\/4, -3\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 115, 214, 289, 328, 319, 250?\n\"Answer: -2*d**3 + 113*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/4 (b) -9\/2 (c) 2\/7 (d) -352.5 (e) -3 (f) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08113 and 1.4378?\nAnswer: 0.116648714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a + 14\/3*a**3 + 3 + 0*a**2. Let z(t) = -467 + 467 - t. Determine k(z(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111761274.000666 + -111762016. Let y = w - -742. Round y to five dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3198*y**2 - 3*y + 1. Calculate u(1).\nAnswer: -3200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 + 11*t**2\/2 + 2*t. Let f be 6\/27 + (-4)\/18. Is d(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/3 (b) -17 (c) -0.3 (d) -8 (e) -13 (f) -3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i - 8 + 5)*(-36*i - 41 + 41) in the form s*i + f*i**2 + x and give s.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:29 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.51 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*d - 535*d = 547*d + 15678 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143095 or 143096?\nAnswer: 143096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s + 74 + s**4 + 0*s**2 - 52\/3*s**3. Suppose c(h) = 0. Calculate h.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1346, -6113, -14298, -25901, -40922?\n\"Answer: -1709*t**2 + 360*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24493*b + 50247?\nAnswer: -24493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19 + 47*y - 6 + 6*y - 12. Let b be s(10). Calculate the highest common factor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 17*v**2 - 15*v + 19. Calculate the remainder when 7 is divided by k(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = -0. Let x be 0\/(-1)*(2 - n). Let v(f) = f + 0 + 0. Give v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.07. Let s = -5356.9999982 + 5357.12. Let v = s + w. What is v rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11597320 and 32?\nAnswer: 46389280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 0*h**2 - 5*h - 347 + 351. Let m = -1 - -4. Give q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7) - sqrt(7)) + 2 + (1*sqrt(7)*3)**2.\nAnswer: -4*sqrt(7) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 2*l)*(2*l - 3*l + 3*l + (76 + 52 - 26)*(0*l - 3*l + 4*l)).\nAnswer: 208*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*o = -107 - 45, 1 = o. Let y = -75 + u. Let z = 2 - 7. Put 4, z, -3, y in decreasing order.\nAnswer: 4, y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w - 1. Let j(p) = -4*p**3 + 6 - 2*p**5 + p**5 - p**5 + 5*p + p**5. Suppose -3*n - n + 4 = 0. Let k(m) = n*j(m) + 6*v(m). Factor k(y).\nAnswer: -y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13)*f*f**29*f*f assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1504 and 19\/6.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 14 - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -401 - 16?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 624609003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by -2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/24 + 5*k**3\/6 - 8*k**2. Let l be i(-3). What is the highest common divisor of l and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (106\/((-330)\/85 + 4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281538.9715 - -281608. Let q = f - 69. Round q to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/7 and -39\/1250?\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + 3. Suppose 2*w = -2*w + s. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.6 + 17. Let k = 25627 + -25626.8. What is the nearest to k in 1, 1\/6, -0.1, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28414, -30131, -31848, -33565, -35282?\nAnswer: -36999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 28\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**3 - l**2 + 1. Determine u(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25976 divided by 136.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9876284 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 6447*x + 2579849. Give h(-378).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/1196 + 8025\/19136. Let v = 5107\/576 - k. Find the common denominator of -1\/12 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 2)\/(1 + 1 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 4*k**2 + 8*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 71 - 60 - 21\/(-6)*-2. Solve w = 2*i + o, 3*w = -3*i - i - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -1\/4*b**4 + 4\/3*b**3 + 0*b - 3*b**2 + 1\/60*b**5 + 0. What is the units digit of h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*r - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -264*u - 47. Let k(i) = -263*i - 31. Let v(o) = 3*k(o) - 2*s(o). Let z(f) = -2*f. Determine v(z(a)).\nAnswer: 522*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*u = 21, -5*u - 15 = -3*j + 2*j. List the prime factors of (-50)\/(-15)*36\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -231, -155, -79?\n\"Answer: 76*j - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54199 = 54*r - 935027. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 1. Let j be r(2). Let m = 25 - 25.4. What is the second smallest value in m, -1, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (22 - (-9)\/6*(-50)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 6602, -0.046, 1\/2, -1\/3, 1?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*b**3*f**3 - b**3*f**2 + 407*b**3*f + b*f**3 - 8*b*f**2 - 253*f**3 - 30*f wrt f?\nAnswer: -414*b**3 + 6*b - 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 1\/4 (b) 2 (c) -0.4 (d) 0.2 (e) -1\/137 (f) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*w - 8 = 0, -5*o = 1105*w - 1107*w + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 4:45 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 38.1.\nAnswer: 11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 12077.\nAnswer: 4830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 48 = -2*a, 241*q - 12 = -5*a + 237*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 + 152 = 2*i. Let w = 256 + i. Let b = w - -112. What is the remainder when 12 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + -8 + 14 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = z + 55. Suppose i + 5*p = 5*i + 8, 0 = z*i + 5*p - 35. Solve i*s = 2*t + 9, 2*t + 6 - 2 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/126720 and 71\/768.\nAnswer: 126720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16490 - -41123. What are the prime factors of d?\nAnswer: 17, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/9 - 112*l**4\/9 - 38*l**3\/3.\nAnswer: 2*l**3*(l - 57)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 7*j**2 - 5*j - 3. Let c be g(6). Suppose -10 = -c*w + 38. Suppose 8*h - 15*h + 21 = 0. Solve 0 = -p + h*z + 4 - w, 2*z = -p + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -8\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9317488 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c + 1. Suppose -35 = 3*o + 2*o. Let i be v(o). Suppose 2*k = -k + i. Calculate the common denominator of -19 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from {t: 1, q: 2, b: 2, c: 9}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092632.\nAnswer: 2, 61, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3277944 and 29\/12?\nAnswer: 3277944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 10. Let j = -1 - i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 83*s**2. Let a be w(83). Solve -6 = 2*b - 4*k + 4, -5*b + 5*k - 5 = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -86. Let l be 2\/6*111\/1. Let j = g + l. What is the highest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/109 and 23\/459674?\nAnswer: 50104466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/8, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 + 0*v**2 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -4*k. Suppose i = 2*i - k. Let v be ((-6)\/4)\/((-1)\/i). Let w(a) = -2*a**2 + 3*a + 3. Let f(l) = -3*l**2 + 4*l + 4. Calculate v*f(b) - 4*w(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 15 + 15)*(0*m + m**5 + 0*m).\nAnswer: 63*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 257?\nAnswer: -5\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 87*z - 56*z - 83*z + 18 + 233*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/162588 and 11\/238.\nAnswer: 1138116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.4, -4\/3, 1\/155, -21, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.71407.\nAnswer: 3.28593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (-2 - 0\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-189)\/175)\/((-114)\/380)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 + -2a4?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -620 - -623. Solve -j*u - u = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 717 + ((-3)\/21)\/(5\/35) and 18.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 15 = -0*s - 3*s, -3 = -3*s + 2*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 + 1050*z**2 - 16875*z = 0.\nAnswer: -225, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4185 = 4*a + a. List the prime factors of (-12)\/16 + (3 - a\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-65) + 56\/10. Suppose -g*m = 2*m + 16. Which is the smallest value? (a) 0.4 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/7 + 6141*w\/7 - 46850562 = 0. Calculate w.\nAnswer: -11529, 9482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442 and 3262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 5*j + 5. Let g(y) = 10*y**2 + 12*y - 12. Let v(c) = -5*g(c) - 12*w(c). Let i(x) = 68*x. Give v(i(t)).\nAnswer: -9248*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -122*f**2\/9 - 32*f - 88\/9 = 0.\nAnswer: -2, -22\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 89, 5\/2, -63319?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.092 in -0.1, -0.127, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*g + 72, 7307*g + 199 = 7318*g - 3*k for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/25 and 89\/9930.\nAnswer: 49650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8170*l**2 + 7409*l wrt l?\nAnswer: 16340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4. Let x(k) = 3. Let g(j) = 4*l(j) - 5*x(j). Let q(n) = n - 4. Determine -3*g(y) - q(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w - 47*w = 50*w - 1162 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3743)\/(-12) - (-10)\/120. Suppose z = -m + 62, 3*m = -5*z - m + y. Calculate the remainder when z is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 344 in increasing order.\nAnswer: -1, 2, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23333671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2932*i = -613*i + 17725 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:16 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -34. Let s(p) = 5*p**2 - 2*p + 1. Let x be s(r). Solve -m = -x*q - 8, -q = -5*q + 3*m - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*8\/(-12) - -2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)**40)**(-4\/5)\/(h*h**(-2)*h*h**(-5)*h**8*(((h*h**(-2\/7))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1707463814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/10 - 4*d\/5 - 7\/10 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Suppose -8*o = -t*o. Suppose 2*x - 4*p - 40 = o, p = 4*x - p - 68. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 3*i - 14. Suppose -5 = -v + f, 4*v - 5*f = i*v + 4. Calculate the remainder when 11 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8*m + 3*m - 3 = 0, -2*m = 3*y - 23. Suppose -y*u = -0*u - 88. Solve -q + u = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 17*m - 16*m + 147*m**2 + 6 + 116*m**2 + 12 in the form a*m + x*m**2 + i and give x.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:51 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80.8344 + -78.8. Round b to 2 dps.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25332*x. Let l(w) = -w**2. What is l(v(n))?\nAnswer: -641710224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 2*h - 6. Let m(z) = 2*z**2 + 12*z - 23. Let c be m(-10). Let n = c - 32. Suppose 2*k = -2*v + 10, -5*v + 2*k + n = 6*k. Give a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 7*v + 4. Let f be d(5). Let w(p) be the first derivative of -p**2\/2 - 6*p + 237. Calculate w(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -918 - -911. Sort 0.3, -3\/4, x.\nAnswer: x, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3274844086 - 6.\nAnswer: -3274844092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -0.1 (c) 3\/5 (d) -2\/699\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2650*o**5 - 71*o - 2516551*o**3 + 2516551*o**3 - 2 wrt o.\nAnswer: 53000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) - (-2 + -1*sqrt(75))) - (sqrt(75) + -1)*4) + (sqrt(75) + sqrt(75) + 2*sqrt(75) + 1 - ((sqrt(75) - sqrt(75)*-1) + -2)))**2 + 5.\nAnswer: -150*sqrt(3) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75429 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 l(q) = -6*q - 12. Let c be l(2). Let a be 2\/11 + 695*c\/(-220). Let d = a - 72. What is the smallest common multiple of 6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/234*3)\/((-799)\/(735879\/2456))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1722.4 + -1726. Put 0.11, y, 0.1 in descending order.\nAnswer: 0.11, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*x = -68*x - 126. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62220 is divided by 73.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 16, -7*a + 3*a - 5*w = 12. Let f be (2\/(-4))\/(a\/(-144)). What is the smallest common multiple of 1\/(1*3\/f) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -794*i + 92902. Calculate j(117).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((97 - 161) + 153).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.38 + 0.98. Let d = 42.6 - j. Let i = 46.9 - d. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -407, -611, -799, -965, -1103?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/13 + 552304*y\/13 - 8837376\/13 = 0.\nAnswer: -276168, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2139\/(-840627))\/((-3)\/9 - 1\/(-2)).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/15 - d**3\/6 - 6*d. Let n(c) be the second derivative of q(c). Is n(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13481.8614s?\nAnswer: 0.0222914375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11317 (base 9) to base 12\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4, 0 = 3*l + 12*i - 16*i - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0788999115+0.5\nAnswer: 0.4211000885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 237831, 479856, 721879, 963900, 1205919?\n\"Answer: -z**2 + 242028*z - 4196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 16*l**2 - 12*l - 1. Give v(15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5309512l to millilitres.\nAnswer: 530.9512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202624*j**3 - 50*j**4 - 116*j - 85*j + 202618*j**3 wrt j.\nAnswer: -600*j**2 - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let a(w) = w**2 - 3*w**2 - w**2. What is o(a(u))?\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*j + 17*j. Which is smaller: j or 30\/263?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 1*(sqrt(20) - sqrt(40)\/sqrt(2))\/sqrt(10)) + (3*6*-2*sqrt(98)*-2)**2.\nAnswer: 508036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4089699.\nAnswer: 1\/1363233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2.6894404.\nAnswer: 2.3105596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 - 8 = 0. Let y be (-30)\/t + (-3)\/4. Let q be -1 - (-1 + 0\/y). Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1638, -3278, -4920, -6564, -8210?\nAnswer: -9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 15185*j + 33485790.\nAnswer: -5*(j - 4519)*(j + 1482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 0. Suppose a = x*a. Solve a = -n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001130 + -132023?\nAnswer: 203101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3\/5 (c) -1\/3 (d) 4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*f + 24, 4 = 12*u - 11*u + 3*f. Suppose -5*t + 102 = 2*o, -3*o - 108 = -4*t + 2*o. Let p = t - u. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 4*n + 4*p, 5*n + 3*p = 9. Sort 3, 1, n, 17, -1 in descending order.\nAnswer: 17, 3, 1, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/37 (b) -5 (c) 150 (d) 2 (e) 5 (f) -60 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0928 + 0.9072. What is the closest to 0.2 in 4, n, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -5*v**3\/6 + 2*v**2 + 102*v. What is j(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 = 4*z. Let d be 1\/(-2) - 4\/z. Suppose -3*n - 17 = t, -5 = -2*t - 3*t + 3*n. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1620\/24*(-312)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592870, 1185925, 1778982, 2372041, 2965102, 3558165, 4151230?\nAnswer: 4744297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -407804479 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/15 - 134*c**2\/15 + 292*c\/5 + 6864 = 0 for c.\nAnswer: -60, -33, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -490896, -490893, -490888, -490881, -490872, -490861, -490848?\n\"Answer: x**2 - 490897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -224103 (base 5) in base 7?\nAnswer: -32256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - 3*j + 10*j**3 + j + 27 - 92 + 34 + 30 as k*j**4 + t*j**2 + b*j + q + i*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -13, 0, 11?\n\"Answer: -j**2 + 18*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.005 + -37. Round p to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - 3.13. Let q = 5874.4 + -5874. What is the nearest to 5 in z, -6\/7, 3\/7, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4026 + -201144?\nAnswer: -205172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/14 - 2\/7. Let f = g - 1. What is the third derivative of -11 + 11 - 3*t**6 - 2*t**f wrt t?\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 42 + 1\/2*r**2 + 94\/3*r**3 + 3*r. What is the first derivative of w(g) wrt g?\nAnswer: 188*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21201482963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*g**3*r + 306*b*g**3 - b*g**2*r + b*g**2 + 4*b*g - 48788*b*r + 2*b + 5498*g**3*r + g**2*r - 3*g**2 wrt g?\nAnswer: -12*b*r + 1836*b + 32988*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 7, b: 4, n: 1, f: 5, y: 1}. What is prob of sequence yjb?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250277?\nAnswer: 353, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-2 - -14 - 24)) + (1 - 9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + 4550\/40)\/(9\/5256).\nAnswer: 2, 73, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (112338\/(-27) + 8)*54\/(-12) a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86917 = 3*y - f, 8*y - 3*y - 144863 = f. Suppose -22*q + 15*q + y = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o - 140 = 0. Let l = -40 - o. Let m(y) = y**2 + 4*y - 4. Calculate m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = -3*t - 34, 4*i - 20 = 2*t. Suppose 24 = -i*d + 6*d. Calculate the highest common factor of d and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(28) + sqrt(168)\/sqrt(6))\/sqrt(4).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 863 + -845 + (-14 - 2). Suppose 32 = 3*h + 5*c, -c + 12 = 6*h - 4*h. Solve 2*q = -h + n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96\/(-528) - (-1421382)\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728, 729, 730, 731, 732?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*3.537\nAnswer: 1.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230382742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/39 - (-3 - 0))*404\/(-606).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/1386)\/(-3 - 38\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.953 + -0.047. Let r = f + 57. Let t = 15 - 18. Which is the fourth biggest value? (a) 1\/3 (b) r (c) t (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 1. Let q(w) = 2*w + 1. Let h(d) = -3*i(d) + 5*q(d). Let l = -24 - -27. Give h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -332 in 4, -2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 f, and 1 v when four letters picked without replacement from {o: 7, q: 1, v: 3, f: 3}?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/9 and 59\/702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.6233716 - 15.41337237. Let n = 1.79 + s. What is n rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 12 = -7*i. Suppose -60 - 32 = -i*u. Solve -5*j = f - u, -f + j - 12 = -j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 118 (b) -0.31 (c) -347 (d) -4 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*i = -8*i + 8*i + 4, 84 = -2*n - 13*i for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**4 + 21*m**3 + 27*m**2 + 21*m + 12. Let g(z) = z**4 + z**2 + z. Let d(v) = -18*g(v) - w(v). Let d(c) = 0. Calculate c.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3927448 - -28.4526.\nAnswer: 32.8453448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2093827051 to the nearest integer?\nAnswer: 45758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 2:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*a**2 + 6*a**6 + 3107 - 3107 wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 257 - -25.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50670143 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, -7, -2 in ascending order.\nAnswer: -18, -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287958\/30 + 3\/((-120)\/(-16))?\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*20\/(-216)*(-99)\/990?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*q + 25185 = -2*q. Which is bigger: -346 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 2*d + 2. Let g(w) = -37*w**2 + 7*w + 10. Give g(u) - 4*k(u).\nAnswer: -45*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10659312 divided by -158.\nAnswer: 67464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 14}. What is prob of picking 1 c and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6214942199.\nAnswer: 19, 327102221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 0. Which is the second biggest value? (a) 1 (b) 0.6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 9. Let b be r(-3). Find the third derivative of -8*x**2 + x**3 + 3*x**b + x**3 wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8341.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 - 5*j + 4. Give h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111934 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, 3\/4, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.526 and 231.\nAnswer: 3817.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (258\/21)\/1 - (-4)\/(-14). What is the highest common divisor of 312 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -690756400 to the nearest one million.\nAnswer: -691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + 1. List the prime factors of q\/8*(42\/(-7) + 56).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355884 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9) - 2\/6)\/3. Suppose -o - 5*v = 13, 3*o + v = 3 - g. Let y(k) = -2*k + 6. What is the lowest common multiple of y(-6) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92.1 - -0.069884431\nAnswer: -92.030115569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 64433 (base 12) to base 9\nAnswer: 220883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 + 12 + (-5 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 1719.92.\nAnswer: 1717.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + 1 + 1. Let g be 8\/r - (-6)\/(-3). Let d = g - -3. Solve 2*u = -3*u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/112 - 3*j**7\/140 - j**6\/40 + 3*j**5\/40 - 12*j**2. Solve t(r) = 0.\nAnswer: -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 766581, 766954, 767327, 767700?\n\"Answer: 373*n + 766208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -1\/6, -436, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*-2*sqrt(1331))**2 - sqrt(1331))*-1*-3.\nAnswer: -63888 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645003891 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 44*l**2\/5 - 16*l\/5.\nAnswer: -2*l*(l - 4)*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 5*c + 73, 187 = 4*k + c. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 318\/27 - (-10)\/45. Suppose -g*h + 30 = -6*h. Is h smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Let r(d) = -4*d - d**t + 0 - 1 + 3*d**2 + 2. Let s be r(3). Solve -3 + s = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213354064*c**2*r**2 + c**2*r - 1423*c**2 - 2*c*r + 95*c - 233 wrt r?\nAnswer: 426708128*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 x when three letters picked without replacement from tbvbtmvbvvxbbmmxbmbm.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000386 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 204 = z, -4*y + 4*z + 309 = 125. Calculate the remainder when 460 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w + 91. Let z be a(-21). Find the common denominator of 33\/77*2 + (-521)\/z and -17\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let w(y) = 2*y**3 - 4*y**2 + 2*y. Let q be w(u). Let r be 2 + (-4)\/20 + 3918\/3265. Solve -q*t + t = -r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 9*s**2 + 7*s + 10. Let x be b(8). Suppose f + 13 = -3*r + 55, 2*r = -x. What is the greatest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*w**2 - 3*w + w + 2*w**3 + 3*w to m*w**3 + g*w + n + s*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-1 + -7 + 13 + -5)) + -27\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539654 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -4 (c) -1\/3 (d) 0.07 (e) 518\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-90) - (-34798)\/(-2286)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 30. Calculate the remainder when 119 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1133\/7 + -162. Sort -10, 0.06, u in increasing order.\nAnswer: -10, u, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 + 19745*o**2 - 3676903*o + 3657159 = 0.\nAnswer: 1, 187, 19557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 2*m - 11*n - 4, 16 = -m + 5*n. Let k be ((-1)\/m)\/(8 + 141\/(-18)). Which is the fourth smallest value? (a) 0.2 (b) k (c) 3\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -65. Let w be c - ((-9)\/(-9))\/(7\/11). Find f such that -w*f - 1\/7 - 3\/7*f**2 - 1\/7*f**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4864 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + 140\/12. Let f be 3\/o + (-15)\/(-4). Let g(m) = 5*m - 2 + f*m**3 - 2*m - 5*m**3. What is g(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*u + 2*h, 101032*u - 101034*u - 34 = -2*h. Factor 2*j**u - 30\/7 - 2*j - 2\/7*j**3.\nAnswer: -2*(j - 5)*(j - 3)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3877 - 3875. Let t be (-1)\/(-6)*3*-2. Sort 1, 6, t, g in decreasing order.\nAnswer: 6, g, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 57*l - 30. Calculate u(-2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 6*d**2 - 4*d**2 + (5*d**2 + d**2 + 2*d**2)*(-2 + 2 - 1))*(96 + 579 + 245 + 247 - 192).\nAnswer: -6825*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145\/538903 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3*k - 6. Let z be m(5). Let p be 334\/z + (-11)\/(-22). What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 46*a**2 + 22*a - 63. Is 5 a factor of m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/4))\/(a*a**(-5))*a**(4\/5)\/(a*a\/a**(-5\/2)) assuming a is positive.\nAnswer: a**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Solve 6*s + 121 = -4*l + 203, -13*l + 10*l - 4*s + 54 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.333 - -0.33906. Round a to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 30428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (-7 + -1 - -16). Let s(w) = -120*w + 19. Let v be s(p). Are v and -461 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 1 - 1 + (5 - 4 + 1)*(0*p + p + p) - 1 - 3*p + 1 + (5 + 1 - 3)*(4 - 4 - 2*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -255 + 255 - 1774*c - 1648*c in the form d*c + r and give d.\nAnswer: -3422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*1*(-55)\/(-25). Let h be (-6)\/(-27) - (-25)\/9. Let v = q - h. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 83, 214, 417, 704, 1087, 1578, 2189?\n\"Answer: 2*p**3 + 18*p**2 + 3*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119) - sqrt(119) - sqrt(119))*2 - sqrt(119))\/(sqrt(700)*-2).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421550 (base 6) in base 12?\nAnswer: 3a8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 107349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*1*(-171)\/(-38)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354298724.\nAnswer: 2, 13, 229, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9731 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/(-9))\/((-2)\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20858 divided by 870?\nAnswer: 10429\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -201175, -201176, -201177, -201178?\n\"Answer: -x - 201174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1815, 2803, 3677, 4431, 5059?\n\"Answer: -b**3 - 51*b**2 + 1148*b + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*x**3 - 4*x**2 + 48*x**6 + 3*x**2 + 20*x**3 - x + 2*x**4 wrt x?\nAnswer: 5760*x**3 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 0.64?\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1824 or -1825?\nAnswer: -1824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2290216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-2) + (6489 - 6651)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4*a - 1. Let w be (-4)\/6*-3 + (-21)\/(-7). What is l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (2*sqrt(252)*-6 - (1*(5*sqrt(252) + sqrt(252) + sqrt(252)))**2)).\nAnswer: -12343 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose -4*i = 4*z + 64, 3*z + 0*i = 3*i - 36. Let x = z + 10. Which is the third smallest value? (a) g (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 119*k**2 - 243*k + 134. Calculate m(121).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7106165*y**5 - 2*y**2 + 3*y + 452718 wrt y.\nAnswer: 426369900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 29) + -5 + 3 - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31538, -126255, -284164, -505265, -789558, -1137043?\nAnswer: -1547720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -210041113 (base 5) in base 6?\nAnswer: -30250521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4874023*c - 3513719 wrt c?\nAnswer: -4874023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 12*h**2 - 10*h - 11. Let o(n) = 2*n**3 + n**2 + 387*n - 783. Let d be o(2). Determine s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 219 = -104 + 191 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -1920921.\nAnswer: -1920921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5210, -8821, -14832, -23237, -34030, -47205, -62756, -80677?\nAnswer: -100962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*k - 5*y, -2*k + 2 = 3*y + 25. Let c(f) = -f**3 + 2*f**2 - 19*f - 101. Is c(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7341*r**3 - 7374*r**3 + 29396*r**3 - 7370*r**3 - 7361*r**3.\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*x**2 - 2*x**3 + 0*x**3 + 8*x - 1 - 98*x**2 + 42*x**2 to the form g*x + j*x**3 + b*x**2 + m and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*y - 299*y = -20. Let r(i) = -2*i - 3*i**3 - 121*i**2 + 74*i**2 + 52*i**2. Let f(k) = 4*k**3 - 6*k**2 + 0*k**3 + 0*k**2 + 3*k. Give y*r(b) + 4*f(b).\nAnswer: b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37161781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t - 2*t. Let s = 9 - 6. Suppose 2*z = -i + s - 1, 5*z + i = 8. What is the nearest to z in t, -4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79a29a - 2?\nAnswer: -79a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 7*h + 16. Let c be b(-2). Let r(i) = 2*i**2 + 25*i - 111. Is 18 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-966)*15)\/(50\/(-8))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21322122210 (base 4) in base 7?\nAnswer: -31041663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2440, -9403, -21246, -33089, -44932, -56775?\nAnswer: -68618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3\/4, 0.2 in increasing order.\nAnswer: -3\/4, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6743.529 minutes?\nAnswer: 404611740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/6 (c) 0.05 (d) 0.04067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*p**2 - 275*p + 30.\nAnswer: -5*(p + 3)*(19*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4\/7 (c) 1\/2 (d) -3\/2 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(495)*1)\/((1*2*sqrt(240))\/sqrt(12)).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 + 22*s**2 + 0*s**3 - 7*s**2 + 5. Let u(y) = -y**3 + 5*y**2 + 2. Suppose -2448*m = -157*m + 6873. Calculate m*c(b) + 8*u(b).\nAnswer: b**3 - 5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/3*((-546)\/247)\/(-14).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.92805 and 1?\nAnswer: 0.07195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 + (-6)\/(12\/22). List the prime factors of -101*((-1)\/3)\/(s\/(-27)).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.3, -2243\/2, 5, -1\/3, -4?\nAnswer: -2243\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 11 = 4*d, -2 = -2*w - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*y - 4933, -1108 = 3*y - 5*f - 4064. What is the highest common divisor of 175 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-266)\/(-8))\/19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7413\/11 + -674. Let v = -1301 + 1303. Which is the nearest to 0? (a) -8 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-246)\/12)\/(3 - -2 - (-11)\/(-2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 18 - 158*y - 4 in the form c*y + f and give c.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 13*y - 118 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a952 + 95?\nAnswer: -a868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -86. Let z(c) = -23*c**2 + 2*c - 1. Calculate z(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1062 rounded to 2 dps?\nAnswer: 6.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569894 is divided by 11629.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137054703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781468*j**3 - 781448*j**3 - 1178 + 1178.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95591 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-22)\/12)\/((-196)\/(-392))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19621484123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 156, 0.18, -0.3, 4 in increasing order.\nAnswer: -3, -0.3, 0.18, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146050098799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -0.44. Suppose 390 - 375 = -h. Let i be (h - -18)*(-2)\/(-21). What is the nearest to i in 6, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((-1195)\/(-10) + -5)) + 49\/980*30\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58610989643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*y + 3419*y + 14875 = 1799*y for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -19*g - 156. What is j(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + 78\/(-6) - (-3 - (-33)\/9). Let -h*j**3 + 0*j - 4\/3*j**2 + 0 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -b?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 + 6*a. Let j be m(-6). Let q = j - -5. Suppose -2*y + 10 = 5*i - q*y, 4*y = 4*i. What is the remainder when 14 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 346 = 71. Let v be 2\/(-3)*(-27)\/3. Suppose -3*t - 34 = -m, m = -0*m - 4*t + v. Calculate the greatest common divisor of i and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-224411\nAnswer: 67323.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12213*c**3 - 12230*c**3 - 12233*c**3 - 12215*c**3 + 48854*c**3.\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1497*d + 5675. Give c(-5).\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5)*(-10)\/(-28). What is the biggest value in 5, 18, -0.2, z?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 57\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd - -8a?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(11))**2 - (3*sqrt(275))**2 - (0 + (sqrt(1584) + -1)**2 + (sqrt(1584) - (-5*(sqrt(1584) + -2))**2)).\nAnswer: -1194*sqrt(11) + 35658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15748.245 months?\nAnswer: 1312.35375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*j - 19, 0 = -48*j + 44*j + w + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p**1)\/(p*p**(-5)*p\/(p\/((p\/(p**(1\/3)\/p))\/p*p))) assuming p is positive.\nAnswer: p**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, -6, 0.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1260 (base 7) to base 14\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k - k - 122, -4*r + 5*k = -488. Suppose 4*a = -38 + r. Suppose 21 = 3*w + 2*l, w = -2*w - 4*l + a. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k - 1308. Is (-3)\/6*k + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p**3 + 1497*p**2 + 54*p - 961. What is s(-68)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -130, -235, -372, -535?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19261, -38332, -57279, -76108, -94825, -113436?\nAnswer: -131947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -15*z**2 - 4*z + 4*z. Let n(r) be the second derivative of -r**4\/3 + 6*r + 1430. Give n(x(h)).\nAnswer: -900*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:46 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3799*u**2. Let j(z) = -76*z**2 + 12*z. What is j(q(s))?\nAnswer: -1096862476*s**4 + 45588*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k**3 - 4*k)*(2 - 2 - k)*(4*k - k - k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.9, -0.5, 5, 0.\nAnswer: -7.9, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45bc5a (base 13) to base 15.\nAnswer: -22a232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 35. Let v = 0.2 + -0.4. Put v, t, -3 in descending order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 4*z**2 + z + 1. Let j(g) = -g**3 - 9*g**2 - 7*g - 167. Let x(p) = p**3 - 27*p**2 + 71*p + 14. Let y be x(24). Let d be j(y). Determine w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-5) - (-50)\/(-125). Let f be r\/((-3 - -4)*-2). Which is smaller: -2\/1079 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 - 637\/5. Let x = j - 6\/5. Let b = -5.3 + 4.3. What is the third smallest value in 45, x, b?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.037, -4, 0.14?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37853*c - 25363.\nAnswer: 37853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 90*m - 900 = 0. Calculate m.\nAnswer: 15, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + c - 14 = -4*c, 2*c - 2 = -4*y. Suppose -h + 0*h + 7 = 0. Let f = h - y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/3, 0, -0.5, -2, -21, -4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380588.\nAnswer: 2, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244 + -352. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*d - d + 3*k, 1 = 4*d + k. Suppose 0*t - 2*t = 3*h - 14, -7 = -t + 2*h. Let p be t + 2 + 5106\/(-575). Is p > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -818, -812, -806, -800?\n\"Answer: 6*b - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18131 - -10505. Is 7 - (l + 6) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*c**4*d**2 + 5*c**4 + c*d + 11*c - 3*d**2 wrt c?\nAnswer: -396*c**2*d**2 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.045*-123817\nAnswer: -5571.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4411 rounded to three decimal places?\nAnswer: 0.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.35 - 11.55. What is the second biggest value in f, 12, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 29*m**2 - 28*m**2 + 21*m**2 - 22*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757029 by -258.\nAnswer: 252343\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.0629 decades to millennia.\nAnswer: 4.360629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3 + 1. Let j(r) = -42 - 3*r + 42. Calculate j(z(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 49 + 11)*(-7*j + 6 + 7 - 12).\nAnswer: -427*j + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 - 11*y. Suppose 3*s - 2*m - 30 = 0, -4*m + 40 = 5*s - 10. What is the units digit of j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/10)*(v*v\/(v**(-3\/7)*v)*v)\/v)\/(v**8\/(v*v**18*v)) assuming v is positive.\nAnswer: v**(1003\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925498.\nAnswer: 2, 19, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**3 - 2*s**4 + 47129872*s**2 - 3*s**3 - 47129647*s**2 as n + k*s**4 + l*s**3 + c*s + z*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -130175 (base 9) in base 2?\nAnswer: -10011010000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8860226 minutes to nanoseconds.\nAnswer: 53161356000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-5 - (sqrt(2) - (sqrt(2) - (sqrt(2) - (sqrt(6)\/sqrt(3) + -3))))**2.\nAnswer: -9 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92652821 - 0.3.\nAnswer: -92652821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2 + 12376*q - 9572836 = 0.\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = -3*m, 4*m = -5*l + 3*m - 2. Let s = -6.971 - -7. Let k = s + 0.201. Which is the closest to l? (a) -0.1 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -71*h - 1773. What is g(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -187177, -752265, -1694077, -3012613?\n\"Answer: -188362*y**2 - 2*y + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/4 + 5*m**4\/6 - 5*m**3\/2 - 31*m. Factor r(i).\nAnswer: 5*i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 357236432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771452 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (35 + -15)) + -4 + 3 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -8\/5*v**4 - 74*v + 21\/5*v**2 - 3\/20*v**5 + 23\/10*v**3 + 0. Let h(k) = 0. Calculate k.\nAnswer: -7, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvmvvvvvrrmvrmvrvmr. Give prob of sequence mrr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 26962 = -6739. What is the highest common divisor of 107 and x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 22 - 4 + 14. Let l be z(0). Suppose 0 = -3*p - 5*p + l. Solve -24 = -2*v - 5*s, 9 + 7 = p*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n**6 + 3*n**4 + 14*n**2. Let u(b) = 50*b**6 - 8*b**4 - 42*b**2. Let h(c) = -3*u(c) - 8*z(c). Find the third derivative of h(q) wrt q.\nAnswer: -1680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3686545 - 1256\nAnswer: -1256.3686545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Let g be (1 + (-8)\/5)\/((-888)\/740). Let n = 1.8 - 2.2. Which is the closest to 1? (a) q (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + 6. Let b = 71 - f. Suppose r + 12 = b. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65799, -131583, -197355, -263109, -328839, -394539, -460203?\nAnswer: -525825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 - 4 - m**3 - 1 + 13*m - 15*m. Let a be 2\/(-5) - 108\/(-20). What is the units digit of d(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(21)\/sqrt(3)) - (-5 + 1*sqrt(13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 - 6 = 0. Suppose -2*l = 5*d + 7 - 125, f*d = 3*l + 75. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - d**3 - d**2)*(-3 + 3 - d) + 2*d**2 - 10 + 124*d**4 + 12 + 0 to the form f*d**2 + m*d**3 + i + h*d**4 + s*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, 1 in ascending order.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 936 + 62. Let p = -585 + v. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 102 - 115 + 897*x - 907*x. Calculate a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p. Let s(u) = -128*u + 28. Let t(r) = -14*r + 3. Let q(f) = 3*s(f) - 28*t(f). Calculate q(o(a)).\nAnswer: 104*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 0.2. Let r = -9 - p. Let g = 6 + -4. Which is the closest to g? (a) 2\/7 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6386 - -6380. What is the nearest to 0.4 in 1\/2, -0.2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.169 times -235610\nAnswer: -39818.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15113 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -334626 - -469025. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.95 - -0.05. Let s = 104907 - 104909. What is the third biggest value in a, -6, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-64)\/(-8) - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3706*h**4*p - 61*h**3*p - 6*h**2 - 29276*p wrt h.\nAnswer: 88944*h*p - 366*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 832 - 807. Solve 3*o + q = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4732*m**3 + 4660*m**3 - 14217*m**3 - 2*m + 4714*m**3.\nAnswer: -111*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*x + 1622 - 4106 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t + 8. Let l(h) = h**2 - 2. Let w be l(-2). Suppose -q = 3*u - 5*q + 13, w*u = -2*q - 4. Let r(g) = -2*g - 3. What is u*j(v) - 8*r(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588630 and 5530?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15176, -30353, -45532, -60719, -75920?\n\"Answer: -i**3 + 5*i**2 - 15185*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 = -7*q. Let f be -2 - 61\/(-33) - (-3)\/q. Which is the nearest to 0? (a) -5 (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -53\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 3, i: 4, x: 2, e: 7}. What is prob of sequence gxg?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6615178 - 409*d**3 + 6615178.\nAnswer: -409*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/545396 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**2. Let q(h) = -10611*h. Calculate x(q(g)).\nAnswer: 1914086457*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19246 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 + p - 2. Let a be d(6). Suppose -m + 4*o - 20 = -a, 3*m - 2*o + 8 = 0. Solve -2*i + 0*j - 7 = -j, m = 3*i + 4*j + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 3*s + 106. Let q be n(0). Let j = -3 - -16. Differentiate 87*h**4 - q*h**4 + 2 - j with respect to h.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*p**2 + 0 - 1\/4*p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1221 + -2269?\nAnswer: -3490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 186 - 613 = 3*h, 0 = -3*h + 2*l - 407. Let t = 275 + h. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 11. What is the remainder when 97 is divided by t(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 x when three letters picked without replacement from {p: 5, x: 1, u: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-70))\/((-1394)\/287)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -13. What is the remainder when 22 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14344 + 14790. Does g = 458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + -1)*3 - sqrt(117))**2.\nAnswer: -90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 449074, 898151, 1347230, 1796311, 2245394, 2694479, 3143566?\n\"Answer: q**2 + 449074*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.170788 - 79387.\nAnswer: -79387.170788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -312a8?\nAnswer: -31301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3056.94 rounded to the nearest ten?\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -114, -272, -692, -1506, -2846, -4844?\n\"Answer: -22*t**3 + t**2 - 7*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.4, 9\/34, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -4 - (-9 - -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 31*z**2 - 130*z + 726. Calculate g(28).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.1 + -20.1. What is the biggest value in 2, 5\/2, 2\/33, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 32*c**2 - c - 28. What is the tens digit of s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:38 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxsxxxxx. Give prob of picking 1 x and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-945)*(-8)\/16.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63735851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 21. Let k be z(7). Let a(y) be the third derivative of -1\/60*y**5 + 0*y**4 + 0*y**3 - 5*y**2 + k + 0*y. Let d(j) = -6*j**2. Calculate a(d(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1290 - -1284. Suppose -l - 3*l + 52 = 0. Let j = c + l. Solve 3*f + 16 = j*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**6\/30 + s**5\/60 - s**4\/4 + s**3\/6 + s**2\/3 + 13*s - 18. Let u(m) be the first derivative of r(m). Factor u(g).\nAnswer: (g - 1)**2*(g + 2)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(28)\/sqrt(4)*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11926?\nAnswer: 2, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 185667 divided by 933\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 246*v - 362. Determine y(-63).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-5)*1151875\/38. What is s rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-15)*z*z*z*z*z**(4\/19))**3 assuming z is positive.\nAnswer: z**(-444\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 164. What is the tens digit of 19792\/48 - (2\/t - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7446248*f**3*x - 182*f**2 - 8714*f*x wrt f?\nAnswer: 44677488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 9 in descending order.\nAnswer: 9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(2736))**2.\nAnswer: 147744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 10 (c) -0.293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154 + -152. Solve r*d - 5*d = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 513, 609, 693, 765?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:31 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -521297\nAnswer: -1\/521297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 11*u + 4. Let v = -22 + 26. Suppose v*o - 5*x = 12, 0 = -4*o - 0*o - 4*x + 48. Is 4 a factor of y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*t - 44*t + 14567. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16569 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**7\/1050 + a**6\/200 + a**5\/150 - 42*a**2 + 2. Factor l(t).\nAnswer: t**2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 20*m**2 - 62*m + 30. Let a be i(-16). Let u be (-4864)\/(-380)*(-95)\/a. Calculate the greatest common factor of 38 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048028 to five decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -53\/3*b - 1\/3*b**5 - 14*b**3 + 11\/3*b**4 + 70\/3*b**2 + 5 = 0. Calculate b.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 953 + -1774. Let q = 15876.058 - 15055.05283. Let x = q + s. What is x rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 5. Determine k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001912796 rounded to seven dps?\nAnswer: -0.0001913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 466554, -5 in descending order.\nAnswer: 466554, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10350\/12075)\/(-6 - -1)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4 + 12100*r**3 - 48734574*r**2 + 65058321748*r + 1120135292423 = 0.\nAnswer: -17, 4039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 11*x + 4. Let w be d(11). Suppose 0*z = w*z - 532. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1882358, -3764718, -5647078, -7529438, -9411798?\nAnswer: -11294158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/594906?\nAnswer: -1\/594906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 19. Suppose -2*o = -23 - 1. Let r be n(o). Suppose -5 = 2*i + r*k, i - 2*k - 1 = 2*i. What is the greatest common divisor of 35 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034, 2067, 3100, 4133?\nAnswer: 5166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163399319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/130 and 155\/53352.\nAnswer: 266760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18311412 divided by -4577853?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36276 is divided by 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) - 1*sqrt(576))\/(sqrt(972) + sqrt(972)*-5 + sqrt(972)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31476073 - -5?\nAnswer: 31476100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/7 + ((-24)\/224)\/((-10)\/40).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216785088 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -44. Let w = -1.01 - 0.09. Let y = w + 0.1. What is the nearest to y in 2\/5, -5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - k = -65, -2*s + 3*s - 4*k = 10. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:22 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 16 = 4*b, 2*j - 5*j = 5*b + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -291 + 3203\/11. Suppose 4 + 35 = 5*f + 3*l, 2*l = f. Suppose y - 3*z = f*y - 12, 3*y - 10 = z. Which is the smallest value? (a) y (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1453 + -15985\/11. What is the fourth smallest value in 6, 1, -0.6, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*-1.2.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.349 - -0.051. What is the smallest value in h, 1, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 at most 7\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(80) - sqrt(80)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 13 + 5. Suppose -h + y + 8 = 2*w, 0 = -5*w + 3*h. Suppose w*c - 10 = 5*m - 0*c, 3*m = c - 10. Sort 2, 9, m in ascending order.\nAnswer: m, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 84, 180, 330, 546?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let w be (-9)\/g*2\/(-3). Let p(n) = -3*n + 3. Let m(c) = -4*c + 4. Determine w*p(d) + 2*m(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -53*w**2. Let i(v) = -4 + 111145*v - 111136*v + 2 + 2. Determine i(x(s)).\nAnswer: -477*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, p: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13*l**(2\/17)*l assuming l is positive.\nAnswer: l**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*v + r + 33, -v + 5*r - 15 = 0. Let b = -9881 + 10033. Let g = v + b. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**2 - 79*l**2 + 1 - 42*l**2 - 47*l**2 as f*l + t + n*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 660 - -627. Suppose -4*m = t - 1131, -2*m - i = -4*t + 3273. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 9*f**2 + 4*f + 12. Let p be o(8). Let g be -3 - (2 + 92\/p) - 0. Let w = 0 + -0.5. Which is the closest to -0.2? (a) w (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 27 = r - 21, -2*n = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 184. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 + 6*y**2 - 8*y - 3. Let s be p(13). Let l = -18 - s. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3548 and -192.\nAnswer: -681216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 25*c + 4 = 2 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2928724761 to the nearest integer?\nAnswer: 54118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116033\/8 - 14504. What is the nearest to a in -4, 0, -2\/7, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7607*r + 9927. Is p(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + ((sqrt(70)*-2 - sqrt(70))*-6 - sqrt(70)))*6)\/(-1*sqrt(40)\/sqrt(4)*2).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88\/5 - -18. Let w be (0\/(-1))\/(10 + -11 - -3). Factor 2\/5*f + w + 4\/5*f**2 + b*f**3.\nAnswer: 2*f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/5 - 1662*w**4\/5 + 516604*w**3\/5 - 71098628*w**2\/5 + 3633094146*w\/5 + 3704711042\/5 = 0?\nAnswer: -1, 193, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2132*b - 42632. Calculate f(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 2004658?\nAnswer: 2004646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -214794, -0.056.\nAnswer: -214794, -0.1, -0.056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -31*v**3 + 5*v**2 + 322*v + 2. Let n(o) = -20*o**3 + 3*o**2 + 214*o + 1. Determine 5*g(p) - 8*n(p).\nAnswer: 5*p**3 + p**2 - 102*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -104. Suppose 133 = 3*h - 6*u + u, 5*h - 225 = v*u. Suppose 2*k**2 + 2*k**4 - 46*k + 4*k**3 + h*k = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 554 - 347. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-24) - 110\/44. Which is the closest to 5? (a) -9\/13 (b) 0 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6035*f. Let l(x) = -x. Calculate l(u(w)).\nAnswer: -6035*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8263395867*q**2 + 285927384*q + 2473392 = 0 for q.\nAnswer: -908\/52483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -186, -277, -418, -603, -826, -1081, -1362, -1663?\n\"Answer: i**3 - 31*i**2 - 5*i - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 15 + 0*u**3 + u**2 - 1 in the form d + j*u**3 + g*u**2 + w*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -842 - -863. What is the smallest common multiple of 84 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, r: 3}. What is prob of sequence sss?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*c**4*j - 3*c**4 + c**3*j + 611*c**3 - 640182*c**2*j - 4*c*j wrt c.\nAnswer: -552*c*j - 72*c + 6*j + 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let x(k) = 6*k**2 - 6*k - 6. Let z(o) = -6*o**2 + 5*o + 5. Let r(b) = 5*x(b) + 6*z(b). Calculate r(c(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226986879 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0 - 66*i - 35\/3*i**4 - 69\/2*i**2 + 1\/6*i**3. Find the second derivative of g(b) wrt b.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-623)\/(-420) + -9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 5, -2, -0.16, 2.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 0 + 17*h + 9*h - 2 + 3. What is the units digit of c(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 18 = -14*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5 = -a, -3*y + a - 13 - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.0147?\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - i = -6, 2925*x - 2*i + 7 + 26 = -2925*x - 2915*x + 8754*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 21671313\nAnswer: 4\/21671313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2761 + -2790. Which is smaller: k or -141\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/7 + 17028*w\/7 - 51102\/7 = 0.\nAnswer: -8517, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(2\/29))\/z)\/z**(-1\/41))**39)**(-2\/35) assuming z is positive.\nAnswer: z**(-8658\/41615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6226 - -8436. Is 85 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11674978 to the nearest integer?\nAnswer: 3417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2 + 5) + 0\/(7 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + p + 1. Let t(u) = -22*u**2 - 3*u - 8. Let c(x) = 7*g(x) + t(x). Let o = 0 - -2. Suppose s + 5*a + 1 = 0, o*a + a + 15 = 3*s. Calculate c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12987 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 5.5057\nAnswer: -0.110114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v + 31 = -64*v + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2137992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59871500?\nAnswer: 2, 5, 13, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11478 - 7*j + 11474 - 34431 + 11479.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102.83 millilitres in litres?\nAnswer: 2.10283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -3.4.\nAnswer: 78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a5 + -409?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587*-0.4.\nAnswer: 234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -43. Suppose 2*d = -4*t + 2*t, -3*d = -15. Put 4, t, f in increasing order.\nAnswer: t, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 290408 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 232004986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 30*a - 18*a)*(2 + 6*a - 7*a - 8) to the form o*a + b*a**2 + k and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - -278. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -923*r - 299. What is the tens digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453976 is divided by 852?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-5504)\/744 + 1362\/(-2043)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 9, 2, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 19*s - 263. Calculate h(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -8, -4*k - 24 = -5*y. What is the least common multiple of y and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/2*104\/(-39). Calculate the common denominator of 89\/72 and (4761\/1620 - -6) + y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -23. Let i be (-36)\/o + 10\/25. Let x = 1 - -4. Put i, 0, x in ascending order.\nAnswer: 0, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131824787 to the power of 1\/2, to the nearest integer?\nAnswer: 11481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovp when three letters picked without replacement from {p: 3, v: 5, o: 1, b: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 412*t + 294. What is the hundreds digit of z(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 - 6*m + 2. Let t be b(5). Let d = t - -188. Let u be 5\/2*d\/25. Calculate the greatest common divisor of 189 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(105\/(-14)*6\/9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -34*f**5 - 8*f**2 - 20*f. Let r(w) = 11*w**5 + 3*w**2 + 7*w. Let b(i) = 3*g(i) + 8*r(i). Find the second derivative of b(d) wrt d.\nAnswer: -280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 + 0)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 35 + 349. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228251959 is divided by 2654.\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:56 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.72 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let k(a) = -8*a**2 - a - 1. Give 2*i(z) - 2*k(z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -57*o**3 - 2*o**2 + 4*o + 5. Calculate l(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 11*l**2 + 24*l + 1. Give i(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6239327, -6239354, -6239381?\nAnswer: -6239408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5754*m**2. Let p(n) = -n + 6. Give z(p(c)).\nAnswer: 5754*c**2 - 69048*c + 207144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let f(w) = w**2 - 14*w - 3. Suppose c = t + 11, 23 - 80 = -3*c - 5*t. Let r be f(c). Sort a, 4, r in decreasing order.\nAnswer: 4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-11 - (-8 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063973 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1989*s - 13189 = 6701 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*b + 207*b + 233*b - 1144*b + 248*b + 226*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707438 divided by 503.\nAnswer: 707438\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31488093 and 1092?\nAnswer: 125952372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416\/((-5)\/(-20)*8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*13*((-44)\/297)\/(1\/(-15)*-10)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 9. Does 51 divide i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -10 - (-1 + 4). Let p be (12\/l)\/(7\/(-70)). Let t be (8 + p)\/(2\/(-4)). Solve -o - t = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/12 - 5*s**4\/4 - 25*s**3\/6 + 95*s**2. What is t in h(t) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*3\/(-3)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220361204 to the nearest integer?\nAnswer: 14845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 3. Let y be x(2). Let v = -588 - -588. Solve -2*w + 3 + y = v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390 - -411. Suppose 27*k = g*k + 24. Solve 4*t - k = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 205350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -3*g, -2*q = -5*g + 2*g + 5. Suppose 0 = q*z - 53 - 21. What is the remainder when z is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = -3. Let y be 1 - (-1 + f - -2). Which is the biggest value? (a) y (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66736 (base 8) to base 9.\nAnswer: -42521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 182*b**6\/15 - b**5\/10 - 879*b**4 + 16*b + 449. What is the third derivative of h(p) wrt p?\nAnswer: 8736*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let h(m) be the first derivative of 0*m - 5\/2*m**2 + 4. What is h(x(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1911, 2681, 7283, 11901, 16541, 21209, 25911?\n\"Answer: m**3 - m**2 + 4588*m - 6499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 261*g + 255*g + 40, -4*d - 5*g = -26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 17 - 12)*(0 + 0 - 2*n).\nAnswer: 2*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.009039 rounded to 2 dps?\nAnswer: 218.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81145763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/336)\/((-4)\/18) - (-7 - 1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/244281 - 1518689587\/188096370. Let u = d + -54\/385. Calculate the common denominator of -9\/22 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-1 - (9 + -9). What is the units digit of (1580\/(-15))\/(a\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 f when four letters picked without replacement from bbffbbb?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 4. Let j(i) = i + 1. Give j(d) + z(d).\nAnswer: -5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 2 + 7*j**2 + 26*j - 29*j. Is s(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 6729 = -40*c - 2121. Factor 576*j + 16*j**3 + c*j**2 + 864 + 2\/3*j**4.\nAnswer: 2*(j + 6)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1269351 (base 12) to base 14\nAnswer: 6a4a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26232763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -194. What is the second derivative of 7*z - q*z**2 + 7*z**5 + 59*z**2 wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9090*x + 9093*x = 3*t - 138, 0 = -3*t - 4*x + 103 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1419\/29 + -49. Let r(k) = -2*k**2 + 14*k - 5. Let d be r(6). Suppose -31*z = -d*z. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let r = 216 - 3238\/15. Suppose 0 = 4*z + 4, 2*d = 7*d - 4*z + 16. Which is the nearest to 0? (a) k (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/9 + 215*c\/3 + 646\/9 = 0 for c.\nAnswer: -1, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185429 divided by 5?\nAnswer: 185429\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -10\/129, 521 in ascending order.\nAnswer: -10\/129, 0, 5, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104148730 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.3 + 5.3. Let m = -41 - i. What is the closest to m in -1, -0.3, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25182*w**5*x - w**5 + 19*w**2*x - 4*w**2 - 4*w - 3*x wrt w.\nAnswer: -1510920*w**2*x - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 191, 433, 771, 1211, 1759?\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05583221 and 19596.\nAnswer: 19595.94416779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 37\/5 of a second?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 30)*(-4 + 946\/231).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16265242183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) 2\/9 (c) -3\/4 (d) 526787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4213 + -410.1213. What is o rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*v**5 + 1534*v**4 - 200*v**3 - 5213*v**2 - 10340?\nAnswer: 6060*v**2 + 36816*v - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.8 + 24.8. Sort -1, r, -2 in descending order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 3\/(-96948)*-783655. Let z = -2\/8079 + g. Let u = z - -8. Find the common denominator of u and -43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246 + 246 - 298*r + (2 - 1 - 2)*(3*r - 2*r - 3*r) + r - 1 + 1 as t + z*r and give z.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13*n**3 - 18*n**3 - 5*n + 5*n**2 + 24*n**3 + n**4 to the form m*n**3 + d*n + h*n**2 + s + v*n**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, -7.8, 2\/5?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14*a - 3. Let x be t(-3). Let f = x + 77. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9360 = -47*d + 32*d. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**2 - 13. Let s(b) = -4*b. Calculate 4*i(n) + 5*s(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 733086707\/540 + -1357567. Let m = f - 21\/20. Suppose -4*y = -y - 4*o + 3, 5 = -5*y + 3*o. Is m >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + m - 4. Let p be q(7). What is the third derivative of -a**2 + 0*a**3 + 4*a**3 - p*a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 78*o + 1622 + 287 = 0. Solve 31 = o*m - 38 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*w + 66557, 0 = 2*x + 3*w - 6788 - 37582. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*g**3 - 6*g - 17094 wrt g.\nAnswer: 285*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*r + 14 = 3*r, 3*r - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2)**2 - ((sqrt(405) - (-1 + sqrt(405)))**2 - sqrt(405)).\nAnswer: 9*sqrt(5) + 2879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780949 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-63) - (-18)\/7. Solve -u - o*u + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(((y**2\/y)\/y*y)\/y))\/y)\/y)**(-31))**(-20) assuming y is positive.\nAnswer: y**(-620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36439087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*((-6741)\/2646*14)\/((-1)\/(-1)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4231 + -164981\/39. Find the common denominator of -85\/12 and j.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.03714?\nAnswer: -0.03714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 102*z - 2344. What is the lowest common multiple of 4246 and h(23)?\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 5. Let q(m) = 2*m**2 + 4*m - 6. Let f(x) = 3*x**2 + 3*x - 6. Let j(n) = -3*f(n) + 4*q(n). Let g be j(7). Does g = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/7)*d)**(-9\/8)\/(d*d**(-10\/3))**(-11\/2))**(-42) assuming d is positive.\nAnswer: d**(2561\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 4 - 3*y**3 + 0 - 2*y**4 + y**3 to the form i*y**3 + n*y**4 + j + s*y**2 + c*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101334 (base 5) in base 3?\nAnswer: -11120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - 5\/7. Let i = -464 - -442. Let h be i\/(-1)*(r - -2). What is the highest common divisor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 - 1. Let s be t(1). Let j be (-16)\/(-7) + (-2)\/s. Find the third derivative of 3*r**2 + 3*r**2 - r**2 - j*r**5 + 7*r**5 wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -7)*(7 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -345 divided by -14\nAnswer: 345\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 284*t**2 + 17*t - 29. Let y(f) = -95*f**2 - 6*f + 9. Let s(z) = -6*n(z) - 17*y(z). Differentiate s(d) with respect to d.\nAnswer: -178*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*a**2*j**3 + 3*a**2 + 2*a*j**2 - 4*a*j + j**3 - j wrt j.\nAnswer: 366*a**2*j + 4*a + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 454 in -99, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-35)\/50*(-35)\/(-12) and 280\/(-64) + (-5)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*k - 52*n + 47*n, 4*k + 3*n = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from tththhhhht?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1 (c) 3\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 6 - 16) + 3 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-15))\/(14\/21)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 574463684 a multiple of 1991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-15 + 19 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -358779121 and 0.2.\nAnswer: -71755824.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2837*u**2 + 2813*u**2 - 5688*u**2. Let z(x) be the third derivative of x**4\/24 + x**2. What is t(z(v))?\nAnswer: -38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16041 + 16042. Which is the closest to 0.2? (a) l (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqjd when four letters picked without replacement from {j: 4, l: 9, q: 1, o: 1, h: 1, d: 4}.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3420802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*u + 132*u - 3261*u**2 - 2530*u**2 + 134*u.\nAnswer: -5791*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 - -263. Calculate the smallest common multiple of n and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 67834268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32627219 is divided by 1317?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*t - 14. Solve 0 = 2*y - 10, -l + 11 = t*y - 0*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26291\/1159 + 70 + -93\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j - 4. Let x(b) = 5*b - 1. Let u(k) = 3*s(k) - 8*x(k). Calculate u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 50 = -22*h. Let y(l) be the first derivative of -7*l**2\/2 + 8*l - 3. Let v(d) = -d + 1. Calculate h*v(m) - y(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**3 + 2140735*w**2 + 5*w - 2140735 = 0?\nAnswer: -1, 1, 428147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/4 + 0\/(-1). Let b = -409.7 - -410. Which is greater: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -515.4 times -0.508\nAnswer: 261.8232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14132 + 14130. Which is the closest to 1? (a) 5 (b) m (c) -265 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 8*r + 6. Calculate x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 - 4*q**3 - 10*q**3 + 14*q**2 - 14*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476510 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62238 by 1.\nAnswer: -62238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 36163531?\nAnswer: 36163525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (4 + -2)) + 2. Let l(w) be the second derivative of -1\/4*w**4 + 0 - 1\/10*w**5 + 0*w**3 + r*w**2 + w. Find the third derivative of l(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9701 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q**2 - 1. Let w = 12 + -27. Let c = w - -18. Calculate the least common multiple of i(c) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11177 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743.6 - -743.9. Put 2\/69, -11\/2, 5, -1, g in increasing order.\nAnswer: -11\/2, -1, 2\/69, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - -7 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 15*x + 33. Let t be n(-17). Let c be t\/((3\/30)\/((-2)\/4)). What is the second derivative of 27*u**4 - 10*u - c*u + 5*u wrt u?\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-57)\/((-24795)\/87).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -32 - (17 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 346. List the prime factors of 6\/9*-3 - (1 + h).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -165, -365, -645, -1005?\n\"Answer: -40*k**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9 + 3*c + c - c. Let x(f) = -13*f - 37. Let q = -9 - -7. Let u(b) = q*x(b) - 9*h(b). What is u(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from ytvwp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d. Let c be f(1). Differentiate -2 - 5 - 2*p**2 + c wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 6*q + q)*(-q + 2*q + 0*q) + 5*q**2 + 0*q**2 - 6*q**2 + (6 - 4 + 0)*(-3 - q**2 + 3) to the form z*q**2 + r*q + n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -2.20417?\nAnswer: 3.306255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.587 + -6.387. Which is the nearest to 0.1? (a) 7.6 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 93 + 1 + 1 + -18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155450\/21 - 7401. Let f = s - 12\/7. What is the nearest to -1 in f, 0.4, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*a**4\/3 - 2146*a**3\/3 + 7989*a**2 - 78*a = 0 for a.\nAnswer: -13, 0, 3\/307, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 4*d - 4*d)*(-3 + 7 - 3)*(-2 + 4 + 0).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 48*g + 288. Let s be o(-6). Let n(f) be the second derivative of 0 - 10*f + s*f**3 + 1\/2*f**2 + 5\/3*f**4. Differentiate n(u) wrt u.\nAnswer: 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 14 = -11. Suppose 3*q = 2*q + 3*z - 1, -5 = -x*z. Suppose -2*a + 0*a = -12. Solve 9 = -q*r + 3*u, 2*u + a = 4*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.1 - 10.1. Which is the fourth smallest value? (a) 2.6 (b) 5 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13174737.\nAnswer: 3, 4391579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(-44)*(g**(-2)\/g)**22 assuming g is positive.\nAnswer: g**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.639 + -4.361. Which is the third biggest value? (a) u (b) -3 (c) -0.311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 5*t**2 + 6*t + 2. Let c be a(-6). Let r(i) = -10*i**3 + 2*i**2. Let m be r(c). Find the common denominator of (-6)\/(-9) + 885\/m and 51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277911.\nAnswer: 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390747 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 179285905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 2 = -316*j + 318*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 844 = -3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827429520?\nAnswer: 2, 3, 5, 37, 93179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 - 0.5. Let m = f - 0.22. Let r = 66.14 - 68.14. Which is the third biggest value? (a) r (b) -5\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1573 and 425139.\nAnswer: 4676529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -193*u - 94. Let k be q(-8). Let r(a) = -728*a**2 + k*a**2 - 721*a**2. Let j(z) be the second derivative of -2*z**4\/3 + z. Determine r(j(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/360 - 3*z**5\/20 + z**4\/2 + 5*z**3\/2 - 13*z**2. Let a(g) be the first derivative of j(g). Does 17 divide a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15216 = -4*l, -4*p - 163*l + 15153 = -158*l. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 28 = 0. Suppose 0 = 4*b + d - 43. Calculate the remainder when 16 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/14*8\/(-44). Let p = 0.6 - 0.612. Let z = -0.218 + p. What is the third smallest value in a, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5862044.\nAnswer: -29310220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349523\/155 - -2255. Suppose -2*f - 5*r + 7 = 0, -14*f - 4*r = -16*f - 2. Which is bigger: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 8, -3423?\nAnswer: -3423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 2, c: 1, y: 1, o: 1}. Give prob of sequence iih.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27319, 29591, 31865, 34141, 36419, 38699?\n\"Answer: b**2 + 2269*b + 25049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2896*v + 2862*v = -332826. What are the prime factors of v?\nAnswer: 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407.4 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600995264 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let k(v) = v. Let f(c) = 5*k(c) - 3*t(c). What is the units digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.2. Let v = -0.96 - 0.04. Which is the closest to v? (a) 2\/23 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = h + 3*h. Let p be 115\/h + 4\/(-14). Let q(c) = -2*c + 1 + c + p*c**3 - c. Give q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + d - 5 = 0, m - 9 = -3*d - 0*d. Suppose 15 = 4*t + 3*b - 57, 5*t + b - 79 = 0. Find the second derivative of 0*c + c - 8*c - t*c**3 + 3*c**m wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (-9 + 21 - -7 - 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:52 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:12 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 50*r**2 + 68*r + 21. Let t be i(-50). Is -3378 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5\/2 + 957*x**4\/2 + 15006*x**3 + 46386*x**2 - 156600*x = 0.\nAnswer: -25, -6, 0, 2, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 2*t**2 - 4*t - 14. Let a be f(-2). Let k(m) = -a + 10 + 12 - 4*m. Give k(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17643800 by -3528760.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33868724\nAnswer: 1\/16934362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (5 + 0)) + -1. Let z(n) = n**2. Let y(u) = 2*u**2. Suppose 9*k - 34 = 38. Calculate h*y(i) + k*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1965 - 51097\/26. Let b = s - -71\/312. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose -b - i*o - 16 = -0, 2*b - 4*o = 16. Suppose b = 5*w - 191 - 84. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/8)\/(-4)*160\/(-24)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -239, -244, -253, -266, -283, -304?\n\"Answer: -2*x**2 + x - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose 0 = -x*n + 5*z + 13, 0 + 3 = 3*z. Calculate the lowest common multiple of 10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - (-428)\/20)*5 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -109\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/126)\/(1\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8044573 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eafffeaaafefefaaf. What is prob of sequence ffa?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 2 (c) -3 (d) -0.807\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - u**2 - u**3 + 5*u**2 - 13*u + 0*u**3 - 13 + 5*u**2. Let f = 3 - -7. Is x(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178748a (base 14) in base 15?\nAnswer: -1048731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*j = j - 2, -2*d - j + 7 = 0. Suppose d*z - 63 = -15. Suppose -15 = -5*h + 265. What is the greatest common divisor of h and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39635483, 79270971, 118906459, 158541947, 198177435, 237812923?\nAnswer: 277448411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(9) + 5 + 1)**2.\nAnswer: 12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 11 + -5 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 287440.5m in millimeters?\nAnswer: 287440500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89189386480 less than -11?\nAnswer: -89189386491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.93 + -0.07. Let z = -0.8 - 15.8. Let v = l - z. What is v rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-18 - -22) - (-4 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133727*x**5 - 58205*x - 1.\nAnswer: 2674540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 4*y = 18*z - 284, z = -y + 67. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-1 + 8))*(-14)\/2. Let i = z - -43. Calculate the highest common factor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -13.7. Let d = 37 + -39.2. What is the second biggest value in d, -3, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from {s: 2, q: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368842751?\nAnswer: 37, 1171, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13145 + 8849. Let i = -3005 - f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14596726 or 14596721?\nAnswer: 14596726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11776799 and 615?\nAnswer: 176651985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by 72?\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2111010?\nAnswer: 2111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 5528138.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m + 1270 = 290*m + 366. Solve -11 = -i - m*g, 3*g - 11 = 3*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 s when three letters picked without replacement from {l: 6, p: 1, s: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 441585 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8438 is divided by 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*1)\/(sqrt(8) + (sqrt(8) - sqrt(32))*-3).\nAnswer: 11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 87. Let j be t(-21). Solve 0 = 2*u - j*q + 8 - 3, 4*u + 3*q = 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*v = 41, 24*b = 27*b - 5*v + 59 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2358033 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716707?\nAnswer: 3, 7, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = o - 128, -16*o + 20*o - 3*n - 493 = 0. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 14*k**2 - k - 19. Let n be h(-14). Let v(z) = z + 21. Let w be v(n). Is 4\/w - (-4)\/(16\/2523) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 3*o**2 - 3*o. Let p be j(-2). Let x = 21 - p. Suppose 0 = x*a - 13*a - 12. Is a >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*r**3 - 35\/2 - 25\/4*r + 10*r**2.\nAnswer: -5*(r - 7)*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411273485.\nAnswer: 5, 7, 11750671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((4*sqrt(242))**2 + (sqrt(60)\/sqrt(5) - sqrt(12))\/sqrt(6))*6 + -2.\nAnswer: 23229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-1044)\/(84\/(-7)))\/(5\/9*9)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b - 4*a, -18 = -3*b - a - 7. Suppose m + 6 = b*m. What is the lowest common multiple of m and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 575 = 0. Let x = 9446 - 9382. What is the remainder when m is divided by x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 5. Suppose 8*y - 1188 = s*y. Find the third derivative of -y*u + 297*u + 16*u**6 + 11*u**2 wrt u.\nAnswer: 1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 - 64*d**2. Suppose 0 = -2*v + 27 + 7. Let p(k) = -k + 0*k + v*k. Give p(u(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -17*j + 14*j. Suppose -j*i = -9*i + 21. Put 9, -4, i in decreasing order.\nAnswer: 9, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 40 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k + 9. Let f = -1 - k. Let o be (2\/(-8))\/(f\/12). Does o = -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1298\/5 - -260. What is the closest to 1 in 3, 0.5, 2, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3915.541 + 3635.07. Let o = 281.7 + h. Round o to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 3425612765902.\nAnswer: 3425612765907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1\/8, -1, -16, 142, 0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 16*p**3\/3 - 31. Let q(v) = -3*v**2. What is q(i(c))?\nAnswer: -768*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(540) + sqrt(60)))\/(4*sqrt(60)\/(sqrt(10)\/sqrt(2) + sqrt(5))).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 - 4*x - 24. Let f be r(-7). Solve -f = 5*v + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3173, 32227 in ascending order.\nAnswer: -5, 3173, 32227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 1, x: 1, l: 1}. What is prob of sequence lxsr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 n when four letters picked without replacement from nnnnndnnnndndnnnnn.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -2 - -8 - -5) + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaj when three letters picked without replacement from {j: 1, a: 13, v: 3}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11*l + l**4 - 1 + 1 - 2*l**4 + 2*l**3 to the form g*l + c + o*l**4 + w*l**2 + r*l**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1270 - -1258.26. Round b to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/21)))\/(p**(-7)\/p)*(p*(p*p\/(p\/(p**(-26)\/p)))\/p)\/(p\/p**(1\/2)) assuming p is positive.\nAnswer: p**(-773\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 2*k**2 + 1761*k + 2*k**3 - 1758*k in the form d + l*k + w*k**2 + r*k**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i - 1. Let t(f) = 5*f**2 + 4*f + 8. What is -6*d(z) - t(z)?\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19981 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*q = -6, -4*q - 6 = 5*p - 2*p. Let n = -3 - p. Find the third derivative of -3*v**2 + 3*v**n - 1 + 1 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 3. Let b be o(2). Suppose -4 = -3*r + 4*m + 46, -b*r - 3*m = -15. Is 5\/(-2)*(-68)\/r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/8 - 2*j**3\/3 + 16*j**2. Let z = -70 + 71. Let p be m(z). Is p > -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232033 (base 4) in base 16?\nAnswer: 1b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) + (6 - (-11)\/(-6)). Let o(a) = 19*a**2 + 5*a + 20. Calculate the least common multiple of o(d) and 12.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 smaller than 52804\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/27)*v)\/(v\/((v**(-33)\/v*v)\/v))*(v**4\/v)\/v*v*v*v*v\/((v*v**0)\/v*v))**(4\/7) assuming v is positive.\nAnswer: v**(-3140\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**3 - 2*t + 1. Determine x(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40345 (base 6) to base 15.\nAnswer: 189b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 77*u + 431. What is the hundreds digit of x(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/20 - k**3\/6 + 3*k**2\/2 + k. Suppose 0 = -s - j + 6*j - 47, -5*s - 163 = -j. Let i = 32 + s. Give y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8839 = -2119. Calculate the highest common factor of 35 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 1) + (-84 - -85) - (20 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6 - (10\/3 - 3). Suppose v = -2*s + 7. Suppose -d + 12 = s*d. Put 0, -2\/3, d in descending order.\nAnswer: d, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3882 divided by -5497.\nAnswer: -3882\/5497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 22*r + 6. Let a be b(5). Let i be 1144*(a\/8 - 2). Round i to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800396959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1333391219 and -12?\nAnswer: 11.8666608781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((1716\/154)\/(-39))\/((-68)\/7)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(2\/9)*y*y*y)\/y)\/(y**(-4)*y)*(y**7\/y)\/(y*(y*y\/(y**0*y)*y)\/y) assuming y is positive.\nAnswer: y**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 53*l**2 + 389*l + 21. Let k be f(-8). Solve 229 - k = -9*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-16705)\/507 - 1954\/78\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610709169 minus 352.98?\nAnswer: -610709521.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -4*m**7\/21 + m**4\/4 + 9*m. Find the third derivative of r(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004919062 rounded to seven decimal places?\nAnswer: 0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 302.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 600397 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4087*w**5 - 3220*w**2.\nAnswer: -245220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let c(q) = q**3 + 3*q**x + 1 + q - 1 + 0 - 2. Calculate c(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2)*-2 + 2 - sqrt(2))**2*1.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214620.6 and 13.\nAnswer: -2790067.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/19, 4, -5\/7 in decreasing order.\nAnswer: 4, -2\/19, -2\/5, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007?\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -2 (c) 3\/10 (d) -0.3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -4, 1\/3 in decreasing order.\nAnswer: 40, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1233 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6822889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-52)*(-1664)\/512.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**7\/420 - c**4\/24 + c**3\/3 - c. Let a(b) be the second derivative of s(b). Differentiate a(t) wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39022440755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2533225 * 0.2\nAnswer: -506645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/18 in -6\/5, 6\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v + 27*v - 2*p = 134, 2*v = v + 7*p - 3*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 0 = 7*r. Suppose -k = 5*q - r, -4*k + 6 = -k - 2*q. Suppose 5*b + 103 - 77 = -4*w, -4*w = -2*b + 12. Sort 5, -1, k, w in increasing order.\nAnswer: w, -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:30 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 4*w**2 + 2*w - 2. Let f be z(-4). Is 41\/(f\/(-14) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140225 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29271, -117105, -263499, -468453, -731967, -1054041?\n\"Answer: -29280*z**2 + 6*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 66. Let n(q) = -6*q - 7. Let f be n(c). Let g(x) = x**2 + 5*x - 4. Let b be g(-5). Put f, -7, b in descending order.\nAnswer: f, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540233?\nAnswer: 3, 53, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 253442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0)\/12*0\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + i**2 + 4*i + 3. Let d be s(-2). Let v(r) = -r**2 + 9*r - 9. Let u be v(6). Calculate the greatest common divisor of d and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 38. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*d + x - 68, 4*x + 255 = 5*d. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 1 + sqrt(176) + -4 - ((sqrt(176) + 0)**2 + 1 - (sqrt(176) + ((6*sqrt(176)*2)**2 - sqrt(176))))).\nAnswer: 4*sqrt(11) + 25162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1 (c) -0.06 (d) -1\/4 (e) -5 (f) -52 (g) 67\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 789*g**3 - 4*g**2 + 2*g. Let v be w(2). Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*(o*o*o\/o**(1\/2)*o)\/o)*o)\/((o*o\/(o\/(o\/o**2)))\/o)*o**(3\/4)*o*o*o*o**(-3\/2))\/((o**0\/o)**(-4\/5)*(o**(1\/4))**(-3\/29)) assuming o is positive.\nAnswer: o**(573\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.948519 to 1 dp.\nAnswer: -28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, l: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 194276*l**2 - 194276*l**2.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnnknknnnnkk. Give prob of picking 1 n and 1 k.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (154\/84)\/((-2)\/(-12)). Let a = -8 + h. Suppose 2*i = -3*i + 30. Solve -c - i = -a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 36693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 61. Calculate the highest common factor of 168 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 224*h - 725. Give k(3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 32, -4.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**7\/7 + a**5\/5 + 23*a**3\/3 - 5*a**2\/2 + 434. What is the third derivative of c(k) wrt k?\nAnswer: -120*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sabg when four letters picked without replacement from sasgbb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 1, h: 4, k: 6}. Give prob of sequence kkkh.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 + 6*f**2 - 4*f**2)*(601*f - 452*f - 422*f) + (-2*f - f + 7*f)*(-f**2 + 3*f**2 - 3*f**2) to the form j*f + n*f**3 + x*f**2 + z and give n.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3274*l. Let v(c) = -3*c. Determine n(v(y)).\nAnswer: 9822*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (124682 - 124682 - 1951*n)*(1 - 3 + 4) to the form x + u*n and give u.\nAnswer: -3902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/5 + 112*q**3\/5 + 938*q**2\/5 + 828*q\/5.\nAnswer: 2*q*(q + 1)*(q + 9)*(q + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-6)\/57 + (-198)\/(-76)). Let d be (-310)\/(-75) - w\/(-75). Let u be (0 - 5)*(-8)\/10. What is the highest common divisor of u and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17769, -71103, -159999, -284457?\nAnswer: -444477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 15*w + 75. Let q(b) = 2*b**2 + b + 28. What are the prime factors of q(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/301)\/(((-20)\/14)\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -131*w - 53. Let l be g(3). Let n = -388 - l. What is the greatest common divisor of n and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-10)\/(-3) + -3) - -2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 = 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h**(-4\/7)*h*h)\/h)*h**16 assuming h is positive.\nAnswer: h**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 557916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1033058.9 to the nearest 10000.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/36 and 45\/58.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77769149 to the power of 1\/2, to the nearest integer?\nAnswer: 8819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 e when three letters picked without replacement from jauuaaepaaapuau.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 0*u**2 - 4*u**2 + (-2*u + 1 - 1)*(0*u - 3*u + 2*u) - 5*u**2 - u**2 + 10*u**2 - 3*u + 3*u + u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 + -150. Suppose -2*x + 5*f - h = -6, 4*x + 3*f = 34. Suppose 10*j - 18 = x*j. What is the highest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**4 + 5*o**2 + 7*o + 75. Let j(p) = 11*p**4 + 7*p**2 + 10*p + 112. Let q(v) = 5*j(v) - 7*s(v). Find the first derivative of q(u) wrt u.\nAnswer: 24*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2. Let d(h) = h**2. Let o = -20 - -13. Let x(z) = -3*z**2. Let l(g) = o*d(g) - 2*x(g). What is a(l(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 3, -1\/6, -3, 0.3, 7\/38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 91821326 divided by -45910663\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1902375.9899 + -1902484. Let o = -110.2 + 2.2. Let x = m - o. What is x rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142986 is divided by 141539.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262 = -4*v - q, 3*v + v - 5*q = 1250. What is the units digit of (-2 - 2 - v\/(-6))*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366672424, 366672426, 366672428, 366672430, 366672432, 366672434?\n\"Answer: 2*k + 366672422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gwxvwwwiw?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 3768*u**2 - 826077*u.\nAnswer: -3*u*(u + 283)*(u + 973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 39 = -y. Let n = y - -76. Suppose n*t - 520 = 33*t. What is the highest common factor of t and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxr. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6))\/(3\/(-9)). Let s be (6\/5)\/(3\/b). Let l(c) = -c**3 + 12*c**2 - c + 13. Let h be l(12). Put -5, s, h in increasing order.\nAnswer: -5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17899, -16862, -15823, -14782, -13739, -12694?\n\"Answer: g**2 + 1034*g - 18934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -39. Suppose -10*h = -i - 15. Suppose 3*s + h*u - 27 = 0, 2*u = -3*s - 2*s + 41. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 97, 4, 51, -7, -4, 8 in ascending order.\nAnswer: -7, -4, -2, 4, 8, 51, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 7*g**3\/3 + g**2 - 10*g - 7. Let k be h(7). What is the units digit of (-34)\/(-1)*4\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l - 47. Calculate z(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69341*h + 69216*h - 1 + 0 - 4 + 2.\nAnswer: -125*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/44046 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40774 is divided by 1406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = -5. Let r be (-1 - -1)\/(w - -1). Solve -3*j - 2*q - q - 3 = 0, 5*j - 4*q + 5 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*s**2 + 3 - 1 - 2 - 9*s**3 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:18 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94075 by 18815.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74 (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22919, 45845, 68785, 91745, 114731?\nAnswer: 137749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302301901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6766358 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:49 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -10. Calculate the remainder when k is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.977 - -10.977. Which is the nearest to z? (a) -16\/3 (b) 1\/2 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) -0.9 (b) -5\/119 (c) -5 (d) 0.1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s. Let q(b) = -540*b**2 + 13*b + 1. Give t(q(y)).\nAnswer: -3780*y**2 + 91*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -189.3 and 0.174.\nAnswer: -189.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-243)\/(-21))\/1*7\/130\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k + 1. Suppose 0 = -35*n + 28*n + 14. Let o(f) = -10*f - 2. Let p(j) = n*y(j) + 3*o(j). Determine p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 4\/(-2) - -5. Let n(r) = 29445*r**2 - r - 14. Let q be n(y). Round q to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17182)\/(14 + -3 + -3 + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101.74 - 43. Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17297627?\nAnswer: 181, 227, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**4 - 4 - 2*m**3 + 4*m**4 + 2*m + 2*m**4 to g*m**3 + h*m**2 + z*m + n*m**4 + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1177670 (base 11) to base 10\nAnswer: -2045219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4653 and 13349.\nAnswer: 62112897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/386 + -1539\/1930. Let q = 1.5 + -1.32. Let z = -4.18 + q. Sort z, p, 4.\nAnswer: z, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 1 + 1 - m - 3*m**2 - 1. Let l(g) = -12*g**2 - 12*g - 10. Let i(k) = l(k) - 10*u(k). What is the second derivative of i(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3671 - -531. What are the prime factors of t?\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -749, -1154, -1607, -2108, -2657?\nAnswer: -3254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 y when four letters picked without replacement from {d: 1, y: 3, m: 4, l: 1, a: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(3\/9 - (-56)\/3). Suppose -3*n + 3409 - m = 0. Calculate the highest common divisor of 84 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337716 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 139, 146, 169, 214, 287, 394, 541?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 49*f - 466. Calculate the remainder when 93 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 19000*a**2 - 19879625*a + 3383126250 = 0.\nAnswer: 210, 1795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*r**2 + 8*r**2 - 29*r**2 + 2.\nAnswer: -73*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 - 8. Let g = m + 0.3. Let s = -0.3 - -0.7. What is the nearest to g in -0.3, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1\/60*n**5 + 0 - 5*n**2 - 1\/6*n**3 + 10*n + 0*n**4. Let z(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-3))*p**(1\/4)*p)\/(p**(-1\/2))**(-2\/9)*(p\/(p**3\/p)*p)\/p*p**(-1)*((p\/(p**(2\/31)\/p))\/p)\/p**3 assuming p is positive.\nAnswer: p**(-1033\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.81 + 0.71. Let y = -172 + 169. Which is the smallest value? (a) 1\/5 (b) y (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 + 3 - -3) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 2. Calculate c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x. Let u = 223 - 220. Let m(z) = -8*z. Let i(s) = s. Let j(g) = u*m(g) + 21*i(g). Determine p(j(t)).\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -628 + 322. Let f = a + 307. Is -18 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 369 + -568. Let v = 2987\/15 + h. Which is the smallest value? (a) 0.2 (b) -1\/5 (c) v (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19549 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*j**4 + 2706*j**3 - 154955 wrt j.\nAnswer: 64*j**3 + 8118*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnnnpdpzzppn. What is prob of picking 1 d, 2 p, and 1 n?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 2?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-4)\/(-8) + 0. Let r = 15 + m. Let z(w) = -w**3 + 13*w**2 - 12*w + 3. Let u be z(r). What is the greatest common divisor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21 + 18)*(-2)\/6 - -2. Solve -5*p + 4*k = -37, p = t*k + 11 + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 3*q**2 - 7*q + 3. Let j be t(5). Let x = -12 + j. Suppose 4 = 2*z - x. Solve 2*y - 3*l + 6 = -2*l, z*l - 20 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1148 + 1144. What is the nearest to -2 in a, 5\/3, 19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25289*i**5 - 25310*i**5 - 4 + 3)*(8 - 6 - 1).\nAnswer: -21*i**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 7 + 14*m**3 - 7.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5274835270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1405*w - 22*w**3 - 1405*w)*((-3 + 3 - w)*(w + 0*w - 2*w) - 2*w**2 + 21*w**2 + 10*w**2).\nAnswer: -660*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/242596805 and -77\/4.\nAnswer: 970387220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -0*i. Let j(c) = -c**2 - 8*c + 4. Let t be j(i). Solve -k - 6 = -u + k, -4*u - 2*k - t = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 282*o - 231.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.35*0.1309\nAnswer: 0.176715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g - 11. Let i be f(-5). Suppose -y = -i*y + 15. Solve 3*v - y*u = 13, 0 = -5*v - 4*u - 0 - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 31*f + 11 = 0. What is the remainder when 42 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57845 and 956203.\nAnswer: 109963345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5)*(-15)\/3. Let i be 0*(3 + -1)\/j. Factor 3\/2*k**2 + i + k**3 + 1\/2*k.\nAnswer: k*(k + 1)*(2*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.911 decades in years?\nAnswer: 929.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*11\/33*234\/(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9822, 9801, 9758, 9687, 9582, 9437, 9246, 9003?\n\"Answer: -z**3 - 5*z**2 + z + 9827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 0*f + 0*f**2 - 4 + 1\/15*f**5 - 1\/9*f**3 + 0*f**4. Factor l(o).\nAnswer: o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-21) + 2\/48*17. Let n = -49.6 + 28.6. What is the third biggest value in 0, r, 3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7*x = 7*x + 4*x - 10, -3*x + 50 = -3*u + 4*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 85, 167, 249?\n\"Answer: 82*v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1074735601 less than or equal to -1074735601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (88 - 38) + (0 - (0 + 41 + 1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/2*(-6)\/(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose -7*d + 4*d = -u + 9, -2*d = -i*u + 6. Suppose u = -5*o - 7*h + 6*h + 25, 2*h = 4*o - 20. Put -5, o, 2 in descending order.\nAnswer: o, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 6. Let f be c(6). Let v be (10\/3)\/(4\/f). Let y(i) = -i**2 - 6*i + 9. Let s be y(-7). Solve 12 = o + s*m, -o - v*m = 4*o - 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/14))**(6\/5) assuming b is positive.\nAnswer: b**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 399786014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -431*u**6\/40 + u**4\/12 + 359*u**3\/2 + 12*u**2 + 4*u. What is the second derivative of o(k) wrt k?\nAnswer: -7758*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/268 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23487222 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000180779 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1572*t**2 + 12*t + 197. Is r(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/56 and -111\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-680))\/(13\/156)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 913 + 933 = 1869 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 141\/(-4)*344\/(-258). Solve 4 = -m*r + 45*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293826442.\nAnswer: 2, 7, 13, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 49805364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1989, 1994, 2001, 2010?\n\"Answer: f**2 + 2*f + 1986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 5 - 10 + 15.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/5*(-9 - -4). Let a be 3 + (-26)\/y + 1. Put a, -2\/9, 3 in descending order.\nAnswer: 3, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77653791.\nAnswer: 3, 31, 278329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13432 (base 5) to base 15\nAnswer: 4e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - 2 - (-36 - (-40 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-8 - (-31 - -19) - (3 + -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -250 (c) 21 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666848 divided by -17363?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouowwwooewlweuc. Give prob of sequence clo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h - 1. Suppose 0 = -27*b + 22*b + 25. Let p(j) = 16*j**3 - 20*j**2 + 12*j - 3. Let f(l) = b*r(l) - p(l). Let f(q) = 0. What is q?\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98307*k**3 + 65*k**2 + 3312088 wrt k.\nAnswer: -294921*k**2 + 130*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.5 (c) -7\/27 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*((sqrt(243) - (3 + sqrt(243))) + sqrt(243)))**2.\nAnswer: -1080*sqrt(3) + 6219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20678592 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let v = 0 + 4. Let q be 5\/v*(-3)\/15. Which is the closest to q? (a) -1\/4 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 518*d - 14526. Give l(29).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 549 - 428 = 877 - 242 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 91.39393 centimeters to nanometers.\nAnswer: 913939300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 4, 12, 3, 1\/14, 1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 74*v + 788. What is s(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221525.4 decades to millennia.\nAnswer: 2215.254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -212, -413, -614, -815, -1016, -1217?\n\"Answer: -201*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*s - 6 + 58*s + 67*s.\nAnswer: -7*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1.09171?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4585*l - 270 = 4630*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q = 5*p - 57*q - 43, -3*p = -4*q - 13 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*s + 25 - 92*s + 86 + 185*s + 18 to the form r*s + q and give q.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c = -84*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) -4 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - -216. Let k = i - 245. Sort -150, k, 4.\nAnswer: -150, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2408 + 2500. Calculate the remainder when u is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 510367 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 0*b + 0*b)*(-5*b - 6*b + 10*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-248)\/(-4) - 1. Suppose 0 = -12*v + 9*v + 4*j + 1, 5*v - 9 = 3*j. What is the greatest common factor of p and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(42)\/sqrt(24) - (4*sqrt(7) + -5)) - (sqrt(1400) + (4*sqrt(1400) - sqrt(1400)))\/(-2*sqrt(1152)))**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -517 + 556. Solve j = -2*g + 39 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5714959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25563 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 3*d**2 + 4*d + 3. Let j(q) = 13*q**3 - 13*q**2 - 17*q - 13. Suppose 1022 - 98 = 111*f - 75. Determine f*s(b) + 2*j(b).\nAnswer: -b**3 + b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1653388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 154 - 185\/(-5)) + -73 + 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*v - 18*v - 3*v + (-6 + 2 + 0)*(0*v - 3*v + v))*(3*v**3 + 0*v**2 - v - 4*v**3 - v**2) as a + p*v**3 + o*v + t*v**2 + m*v**4 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l + 19. Let u be z(8). Suppose -u*g = -20*g + 34. Is 17 a factor of (2\/16*g)\/((-1)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -121 (b) 20 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 w, and 1 k when four letters picked without replacement from kkwwkukkwkuwk.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -779, -772, -753, -716, -655, -564?\n\"Answer: n**3 - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.46211 - 0.00789. What is v rounded to 1 dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + -111 + 124?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8694)\/(-9660)*10\/(-3)*(-60 + 2)\/(-2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-2\/25)\/(v**(-4)\/((v**(8\/3)*v)\/v)) assuming v is positive.\nAnswer: v**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:49 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 22194?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 - y + 3750. Let i be l(0). Suppose -2*v + i = v. What is v rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.71125 + -0.28875. Suppose -41 = -2*m + 87. Let y be 3\/9 - m\/(-6). Which is the nearest to y? (a) l (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -1)*9\/(-6). Let g(c) = -x*c + 36*c + c - 9*c. Let a(z) = 3*z. Determine g(a(f)).\nAnswer: 57*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y + 3 - 12*y - 6*y)*(12 - 12 + 13*y**2).\nAnswer: -13*y**3 + 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8725*w**4 - 665*w**3*x**2 - 2*x**2 + 293888*x + 7 wrt w?\nAnswer: -34900*w**3 - 1995*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 4. Let r(v) = 1. What is -f(t) - 5*r(t)?\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402 - 5600 + 1396 + 1402 - 37*d + 1400.\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 2*r - 4*r)*(-4 + 37 - 6) to s*r + u and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58 and 874287.\nAnswer: 874345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 1:37 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -31. Let d = -10.91 + p. Let t = d + 0.21. Which is the nearest to 4? (a) -0.3 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24365\/12 - 2052. Let k = 46\/3 + c. Are -6 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 15, -5, -8206 in descending order.\nAnswer: 15, 3, 2, -5, -8206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 15. Let o be (0 - i\/3)*0. Suppose 2*s + 0*h - 3*h - 219 = 0, o = 5*s + h - 573. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.356763 to two decimal places.\nAnswer: 27.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/130572 and 127\/2080?\nAnswer: 5222880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 35. Let u = -5 - z. Calculate the remainder when 95 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 - -182. Let g(q) = q**2 - q + 4. Let u be g(h). Solve 5*t + u = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 10*i + 44. What is z(-6)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 35 + 3 = 3*y, y - 5*z + 6 = 0. Let j(t) = t**2 + 11*t - 12. Let l be j(y). Let c = l - -78. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/239 (b) -3 (c) 12\/11 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11172*k + 588. Let s(w) = -153*w - 8. Let n(x) = -2*i(x) - 147*s(x). Let q(a) = -6*a. Determine q(n(b)).\nAnswer: -882*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -20064167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -238, -821, -1962, -3847?\nAnswer: -6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451250323.\nAnswer: 19, 23750017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**7)\/g*g)\/g)\/g*g*g\/(((g*g*g*g**(-10)*g*g*g)\/g)\/g))**(-8\/3) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 20*n**2 - 19*n + 4. Let c be y(19). Let s = 8 - c. Suppose 5*k = -5*g + 2425, s*g - k = 4*k + 1958. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 76*g + 4*g**2 - 4*g**2 + 86*g + 4. Determine b(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from wabwaabbaaaa.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255086, 1020307, 2295656, 4081115, 6376666, 9182291, 12497972, 16323691?\nAnswer: 20659430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2 + 2*g - 1. Let o be y(1). Let p(d) = -d - 6. Let c(k) = -k - 13. Let s(t) = o*p(t) + 2*c(t). Differentiate s(w) with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t**2 + 240*t - 240*t)*(2 + 0 - 3) + (t - t + 2*t)*(0 + 0 - 2*t)*(5 - 4 - 2).\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 6*c + 104. What is the greatest common divisor of 221 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1195, 890, 573, 244, -97, -450?\n\"Answer: -6*c**2 - 287*c + 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.92 - 5.82. Which is the closest to -0.2? (a) -2 (b) z (c) -1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10471, -83846, -282993, -670798, -1310147, -2263926?\n\"Answer: -10481*m**3 - 8*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 + 3*q. Let d(f) = -5*f**3 - 2*f. Give -3*d(g) - 2*t(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {v: 3, z: 2, o: 4, j: 5, b: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 125.\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179333458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(242)*4.\nAnswer: -176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868 + 51*f - 31*f - 22*f + 7101.\nAnswer: -2*f + 8969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-4)*(-158)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 7. Calculate n(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {e: 1, c: 1, h: 1, m: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1420580, 2\/11, 1\/7?\nAnswer: 1420580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 4, -11\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 54. Suppose 0*m = 2*m + 4*k - 40, 28 = 2*m + k. Is h(m) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**3*q**2*v + 8*d**3*q*v + 128*d**3 - 5953*d**2*q**2*v**3 - 2*q*v**3 - 10*q*v wrt q?\nAnswer: -14*d**3*v - 11906*d**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 50*z. Let i(u) = -12*u + 82. Determine i(x(r)).\nAnswer: -600*r + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(2 - 2 + 1)*(4 - 3*v - 4)*(4 - 4 - 3) + 2*v - 6*v + 3*v + (1 + 3 - 3)*(-9*v + 23 - 23) in the form f*v + k and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.071547 * -4\nAnswer: 0.286188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -249*j**2 + 3736*j - 22. Let c be i(15). Put 12, -1, 2, c in increasing order.\nAnswer: c, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-414)\/92 + 14\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66266309 a multiple of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/118 and 43 + (-5 - (-6)\/12*13).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/(-1)))\/((-25)\/500)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2080.7 + 2080.700083589. Round m to 7 dps.\nAnswer: 0.0000836","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 704.013137 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.1, 166, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2737, -10845, -24359, -43279, -67605?\nAnswer: -97337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) + 48\/(-22). Suppose -o - 2*p = 6, 10 = -o - 30*p + 27*p. Put q, 1, o, 4 in descending order.\nAnswer: 4, o, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 3*q - 3*q + (0 + 0 + 2)*(4*q - 4*q + 2*q**2) + (-2*q - 5*q + 5*q)*(3*q - q - q + (1 - 1 + 9)*(-2 + 2 - 2*q)).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*j + 73 = -3*i, -3*i = j + 106. Let f be (-10)\/i - (-81)\/(-210). Which is the second biggest value? (a) f (b) 1\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/34)\/(l**(-3\/16)\/l)*(l\/((l*l*l\/l**(4\/11)*l*l*l)\/l))**(-2\/7) assuming l is positive.\nAnswer: l**(44783\/20944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2103 (b) 28 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 12*m + 11. Let f = -5 + -7. What is the least common multiple of z(f) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -25. What is the third biggest value in 0, 5, d, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 46*q + 35*q - 243. Solve 5*s - 7*v = -q*v + 5, v - 5 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4260 is divided by 2126.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10824326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, 5, -420.\nAnswer: -420, -30, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 13*j**3 + 2*j**3 + (-j**3 - 4*j**3 + 3*j**3)*(-4 + 1 + 10) as v*j**3 + r*j + d*j**2 + k and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14663060 divided by -311980?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -104063.877.\nAnswer: 104063.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = -32. Suppose 0 = 7*l - 3*l - 4. Is 45 + -4 + a - l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/45439 and 41\/2953535.\nAnswer: 2953535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911904 divided by -1692?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*6\/4 + -3. Let g be ((-12)\/(-18))\/((-4)\/i). Let w(u) = u**3 + u + 1. Let v(t) = 4*t**3 - 36508741 + t + 2*t + 36508744. Calculate g*w(x) + v(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18265, -36524, -54773, -73006, -91217, -109400, -127549, -145658?\nAnswer: -163721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 13. Let g(y) = -2*y**2 - 3 + y**t - 4*y**2 - 4*y + 1. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 8\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005781 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74156242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 32 (b) -0.4 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 924 - 923. Which is the second smallest value? (a) 3 (b) z (c) 5 (d) 10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*j - 18 = 0, 0 = -4*d + j + 64 - 88. Let l(m) = m. Let n(k) = 7*k - 4. What is d*l(y) + n(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let n(q) = 779*q**2. Give r(n(o)).\nAnswer: -1558*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 11 + 6 + 0 + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-4))\/(-18 - -15). Let u = 2.5 + -2. Let g = u + -0.6. What is the third smallest value in g, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72726 and 124527?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from gpggcgggpggccgpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89955051?\nAnswer: 3, 167, 409, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y - 53*y + 166*y**3 + 102*y.\nAnswer: 166*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -1 + (14 - 46) + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 444 + -444.1. Let w(x) = -x**2 - 6*x - 8. Let q be w(-4). Which is the closest to u? (a) q (b) 4 (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p - 4. Let q be d(6). Suppose -2*y + q = -6. Solve 0 = -y*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*y + 16 - 7, 0 = -2*y. Let z = c + 13. Suppose -87 = -z*t - 5*a, 6*a - 6 = 4*a. Calculate the greatest common factor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.2 - 5.8. Which is the nearest to -0.1? (a) 1\/5 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:57 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320498137.\nAnswer: 19, 16868323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.07, -0.1, -7, 3\/5 in increasing order.\nAnswer: -7, -0.1, -0.07, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -5*u**2 - 41\/12*u**4 - 1\/30*u**5 + 1\/15*u**6 + 0*u**3 + 0*u - 3. Find the second derivative of t(c) wrt c.\nAnswer: 48*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and 11.\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - -3 - (1 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.3, 0, -2\/35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 52 = 52. Solve -3*o - 1 = a, -2*o + f = -2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -44, -52, -62, -74, -88?\n\"Answer: -c**2 - 3*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16050116 - -3?\nAnswer: 16050122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -20321?\nAnswer: 20313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 203, 5, 4, 0 in descending order.\nAnswer: 203, 8, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:09 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 150. Suppose 202 = j*w - 1066. Round w to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-21)*1659\/(-711).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*v + 127*v + 179*v + 130*v + 124*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -305, -251, -161, -35, 127, 325?\n\"Answer: 18*g**2 - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**7\/2520 + c**6\/270 + c**5\/90 + 8*c**3\/3 + 4. Let t(f) be the third derivative of x(f). Let t(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 2*m)*(1 - 4 + 2).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 9475989.\nAnswer: -8\/9475989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 2*m + 2*m**3 + 4 - m**3 + 5*m**2. Let p be u(-4). Let a(o) = -651 + 2*o + 1311 - 660. What is a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2396 - 1060. Does k = 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3 - 2 + 3*m - 2*m - 4. Let j be d(-2). Let u(q) = -q**3 - 5*q**2 + q - 6. Give u(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:50 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2140 + -2139. Which is smaller: 1\/2675 or r?\nAnswer: 1\/2675","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (30\/(-255) - 268\/34)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 76. Let i be 3\/(-9)*-6 - (-3)\/s. Let m be -2*(-1 + 1 + -3) + i. Solve m*x = 2*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -35. Solve -q = m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-51)*(-12)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/15)*h**(5\/7)*h**(-30)*h**(9\/5)*h)**(-14) assuming h is positive.\nAnswer: h**(1076\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtn when three letters picked without replacement from {t: 2, n: 1, v: 1, e: 1, r: 1, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 + 5. Let u be m(-6). Let f = -1 + 1. Suppose f = 3*n + 2*r, 5*n - 3*r - 14 - 5 = 0. Solve -n*w + 15 = -u*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 666852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005334 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*b + 104*b + 5*n - 25, 3*n = 2*b + 7 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 285 = -23*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g**3 + 0*g + 1\/200*g**6 + 1\/8*g**4 + 17 + 3\/50*g**5 - 5\/2*g**2. Let c(a) be the second derivative of v(a). Factor c(w).\nAnswer: 3*w*(w + 1)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 39049?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -f - 86. Let a be (-564)\/f - 4\/18. Find the third derivative of 160*t**5 + 17*t**2 - 337*t**a + 167*t**5 wrt t.\nAnswer: -600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -7.74.\nAnswer: -7.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2 - 30\/(-14)). Let q(g) = -3*g**2 + 10*g. Let x(w) = w**2 - 3*w. What is a*x(y) - 2*q(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 49 - 11. Suppose -42 - i = -4*t. Suppose 0*v - 2*v + t = 0. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) -1\/4 (b) -4 (c) -0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -153\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10067, 10158, 10251, 10346?\n\"Answer: w**2 + 88*w + 9978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 30. Let x be l(13). Let m(v) be the second derivative of -5*v + 1\/4*v**x + 0*v**2 + 3\/10*v**5 - 1\/10*v**6 - v**3 + 0. Factor m(d).\nAnswer: -3*d*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w**3\/3 + 1. Let b(j) be the first derivative of j**3\/3 + 61. Give b(t(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let s(j) be the third derivative of -2*j**5\/15 - j**3\/6 + 2*j**2. Let i(d) = 2*s(d) + 7*u(d). Differentiate i(l) wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-3)\/13)\/(30\/(-760))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*i**2*p*q - i**2*p - 13*i**2*q + 4417*i**2 + 154*i*p*q - 87*i*p + i - 31*p*q + 2*p + 2 wrt i.\nAnswer: 152*p*q - 2*p - 26*q + 8834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -71. Suppose -11 = 3*w - 56. Let n be (w\/(-10))\/(3\/4). Sort n, 0.3, c in decreasing order.\nAnswer: 0.3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzzgg. Give prob of sequence ggzg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 17157987?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 62*r**2 + 44*r**2 + 52*r**2 - 158*r**2 + 5*r.\nAnswer: -5*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65506 + -26?\nAnswer: -6552c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let k = 1 - 5. Which is the third biggest value? (a) q (b) k (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1454\/13 - 112. Which is the closest to -0.5? (a) 2\/5 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 697 = -676 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 176 - 24*d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*v + 3*v = 3, -2*a - 4*v = -12. Let o = 26 + a. Suppose 2*l = l + o. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*y**2 + 2*u**3*y - 3*u**3 + 136*u**2*y**4 - 6 wrt y.\nAnswer: 4*u**3 + 1632*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:54 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/30 and 37\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188698222?\nAnswer: 2, 3, 37, 9859001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-344)\/(-24))\/(6\/(-11331)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 - -678. Let q = -953 + g. Sort -4, q, -3, 3 in descending order.\nAnswer: 3, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766652107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -27*f + 589. Calculate z(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 4*r + 1. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*p + 44*p - 9602 + 1286 = 1028 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-26)\/(-2457))\/(-1 + (-256)\/(-258)) and 73\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17963 + 17983. Solve 3*m + 6 = 0, -2*m = 21*d - p*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775190794?\nAnswer: 2, 7, 1483, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 102 = 3*h. Suppose -4*w + w = -h. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 30668256*m**2 = 0. Calculate m.\nAnswer: 0, 7667064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -190.8 (b) -41\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16098 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 - 127549534*z**3\/3 + 903826853806560*z**2 - 19213780830240634313216*z\/3 - 19213783541721323282432\/3.\nAnswer: 2*(z - 21258256)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12125 is divided by 12120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 0, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-78)\/(-30))\/13)\/((-6)\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 14*f - 3.\nAnswer: (f + 3)*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42372 divided by 396\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*i + 331*i - 9600 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 4.05. Which is the closest to -15? (a) w (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-15 + 9 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-31 - 12306\/(-280) - (14 + -1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -35 - 25. Suppose -2*y - y - 30 = 0. Let s = y + 15. Solve -5 = s*h + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27781*z**2 + 25900*z**2 - 41 + 41.\nAnswer: -1881*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, 6920578 in ascending order.\nAnswer: -2, 0, 2, 6920578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/9*y**3 + 472\/9*y**2 + 160*y + 1\/9*y**4 + 144.\nAnswer: (y + 2)**2*(y + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5465 + 116*s - 228*s + 118*s.\nAnswer: 6*s - 5465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*a - 72 + 76, 4*x = 3*a - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:17 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*s + 98*s = 12. Let t = 4 + -3.5. Which is the biggest value? (a) s (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12210 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31442, 123480, 276874, 491624, 767730?\n\"Answer: 30678*r**2 + 4*r + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -18\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**9\/211680 + y**8\/70560 + y**5\/30 + 3*y**2. Let d(v) be the third derivative of q(v). Factor d(g).\nAnswer: -2*g**2*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128583.\nAnswer: 3, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-4*j**3 + 5*j**3 - 2*j**3)*(11 + 14 - 4) in the form s*j**3 + k + v*j + i*j**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t + 1. Let w(i) = -4*i**2 + 5*i - 9. Give w(l) + 6*y(l).\nAnswer: -10*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*a**2 + 272 - 137 - 135 to the form o*a**2 + p*a + v and give o.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 16*a - 26. Let m be p(14). Suppose 7 - m = t, 3*k - 52 = -5*t. Solve -2*v - k = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18464.6*-4.\nAnswer: -73858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4566432 (base 9) to base 11.\nAnswer: 1434082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 11*j**3 - 44737590*j**2 + 44737590*j**2 + 4*j.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -a + 2*a. Let z = 10 - 2. Calculate the remainder when a is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/(-30))\/((-2)\/(-12)). Suppose -2 = x - 2*b - v, -2*x = 2*b + 2. Solve -2*n + 3*n = -l + 5, -l = -x*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2499)*5 + sqrt(2499)*-2*6)\/((-1*sqrt(216))\/((sqrt(72) - (sqrt(72)*-1 - sqrt(72)))\/sqrt(9))*3))**2.\nAnswer: 240737\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404920281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 9. Let k = 2.1 - 1.9. Which is the closest to 2? (a) j (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2))\/g**(-2\/9)*g**3\/(g\/g**(1\/10)))**(-11) assuming g is positive.\nAnswer: g**(-1309\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -110.15978955 and 0.7?\nAnswer: 110.85978955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 7:01 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1325611 divided by 17.\nAnswer: -1325611\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2902437 is divided by 1219.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x - 41*x**2 - x**4 - 266 + 42*x**2 + 269 + 0*x**4 - 49*x**3 as b + n*x**4 + y*x**2 + q*x + u*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 10 = -17*n. Suppose 0 = o - 19 - 16. What is the remainder when o is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67202, -134405, -201606, -268805, -336002?\nAnswer: -403197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*b + 113*b - 1302 + 75*b + 143 + 30 - 2*b**2.\nAnswer: -2*b**2 + 3*b - 1129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 1125*k - 58000 = 0 for k.\nAnswer: -145, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2688\/280 + -9 + (-2)\/(-60)*-13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and 202\/(-3)*(-12)\/(-12096).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 1266*h**3 + 4*h - 9*h + 5*h.\nAnswer: 1266*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148247*i - 581*i**2 - 74129*i - 74124*i.\nAnswer: -581*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*n = -0*n - 2*n. Solve n = -3*f - 5*c + 8*c + 9, -8 = -2*f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 2*j. Let t be (j - -1)\/((-2)\/(-1)). Let m(o) = -t - 2*o + 3. Let g(p) = -2*p. Calculate m(g(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 - 71*w**2 + 3 as c*w**2 + y*w + a and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72950 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k + 5. Let z(v) = v - 8. Let d be z(12). Let o be c(d). Let t(m) = 2*m**2 + 6*m - 10. Is t(o) 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 -1000, -1048, -1060, -1018, -904, -700, -388?\n\"Answer: 3*u**3 - 69*u - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30533 + 22662. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 706 - 669 - 1*9. Solve -22 = 89*p - 85*p + 2*t, -4*t - c = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282347\/7 - 40335. Determine k so that i*k**3 + 6\/7*k + 8\/7*k**2 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t + 24*t - 36*t = -5753548. List the prime factors of t.\nAnswer: 211, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -274, -15 in decreasing order.\nAnswer: 1, -2, -15, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 73*i**2 - 12*i + 5. Let o(q) = -74*q**2 + 10*q - 4. Calculate 6*o(n) + 5*r(n).\nAnswer: -79*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/(m**(2\/5)\/m))\/(m**4*m\/m**(-3)) assuming m is positive.\nAnswer: m**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*m = 19448, 5*m = 26*i - 24*i - 9712. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 706 = 31*f - 3154 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6 + 36*g**3 - 20*g**3 - 17*g**3 + 7*g = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -2396?\nAnswer: 8\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-106 + 28)*5\/(-6). What is the derivative of 17*j**3 + 35 + 14*j**3 - 140 + p*j**3 wrt j?\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2088729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*d + 2 - 7 = 0, 4*d + 20 = 0. Let m be (-4 + 1)\/((t + -1)\/4). Solve -1 = i, 5*y - m*i + 2*i + 14 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1668 - -3.1668. Which is the fourth smallest value? (a) 0 (b) s (c) -2 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 5*c**9\/504 + c**7\/42 + 223*c**5\/60 + 36*c**2 - 2*c. Find the third derivative of w(z) wrt z.\nAnswer: 600*z**3 + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371170173.2696964 - -371169962. Let i = -234.269697 - t. Let a = 23 + i. Round a to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 77.\nAnswer: -261\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 31 = 11. Suppose v = 5*v - 3*b + d, -5*v = -3*b + 11. Let f(c) = 6711 - 6710 + 8*c**3 + 13*c**3 + 0*c + 0*c. What is f(v)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17653 - 17644. Solve -4*r - 16 = -o, 2*r = 7*o - c*o - 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**3 + u - 6. Let i(d) = 5*d**3 + d - 5. Calculate -5*i(l) + 4*m(l).\nAnswer: -l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -670 + 673. Suppose -z - 172 = -g*z. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 546.21 + -587.153. Let n = c - -41. What is n rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 - -140. Sort -46, o, -1 in descending order.\nAnswer: o, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11013113 - -13330?\nAnswer: -10333123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 48*v**2 - 4*v - 184. Let a(n) = -28*n**2 + 2*n + 91. Determine -7*a(b) - 4*c(b).\nAnswer: 4*b**2 + 2*b + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200 (base 3) to base 7.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = 39*q - 3188. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(25\/6)\/q)*q\/(((q\/q**4*q)\/q)\/q) assuming q is positive.\nAnswer: q**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2090800 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -1 (c) -4 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 + 59 + 66 - 13*u)*(-1 + 1 - u).\nAnswer: 13*u**2 - 243*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 418 or -199?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (930\/(-8))\/(-5) + (-100)\/80 and 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/15)\/((-2)\/10). Let d = h - -21. Suppose 0 = 4*a - 41 + d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*s = -1441 - 10084 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23187, -18168, -13149, -8130, -3111, 1908?\n\"Answer: 5019*y - 28206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -368. Let v = 17 - 8. Let i be (1\/a)\/(3\/v). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103876*(-27)\/54*(-1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-11931)\/1845)\/97)\/(13\/(-15))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*b + 8, 3*b - 5*d = 6*b - 8. Let l be -2 - 1 - 60\/(-2). Suppose -l + b = -7*c. Solve 0 = -c*r - 5 - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 375\/700*(-2548)\/(-91)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u + 5*n - 18, 0 = 5*u + 4*n - 18. Let p = 4 - u. Suppose -j = 3*j - p*q - 34, 2*q - 6 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-31))**(7\/5)*(l**(2\/5))**(12\/13)*((l\/(l*l\/l**(-1))*l)\/l)\/(l*l**3) assuming l is positive.\nAnswer: l**(491\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*t**4 - 35*t**3 + 10*t**2 - 96*t + 2.\nAnswer: -456*t - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-614*i**2 - 149*i**2 + 211*i**2)*(6 + 5*i - 6) + (1 + 0 - 3)*(-i**3 + 0*i**2 + 0*i**2).\nAnswer: -2758*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 6. Let x be m(10). Let d = -13 - x. Calculate the least common multiple of ((-8 - 1) + 1)*-3 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/8 - l**3 - 5*l**2. Let p be u(9). Let t = -340 + 487. What is the greatest common factor of t and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 458, 938, 1442, 1982, 2570, 3218?\n\"Answer: 2*q**3 + 466*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3032, -2532, -2032, -1532, -1032, -532?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 1. Let s be f(1). Let l = s + -7. Suppose a = -3*t + 22, l*a + 38 = 4*a + 2*t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2212549 and 4.\nAnswer: -2212545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(-6) - (-78)\/(-117)) + (-200912)\/(-6) is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008207 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.3986 + -0.0014. Which is the second biggest value? (a) -4 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + -275. Let c = g - -787. Let k = -444.000201 + c. Round k to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-5) + (-3)\/15. Suppose 9*z - 20 = w*z. Solve z*u + 2*y - 2 = 0, -4*y = -0*u - u + 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -681 and 0.5.\nAnswer: -340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17107 + 25046. What are the prime factors of i?\nAnswer: 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75299419?\nAnswer: 13, 5792263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232667455.\nAnswer: 5, 46533491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:10 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p - p + (3*p - 3*p + 3*p)*(3 - 4 - 1))*(-1 + 3 - 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(6006\/(-1298)) + (-4 - -1) + -2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41354 is divided by 1293.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 7*z**2 - 8*z - 8. Let i be a(-5). Let b = i - -49. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + 8*j + 8. Let o be b(-1). Suppose o*q - 90 = -4*q. Solve 3*p + 2*p + q = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:05 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 440.4, -1151, 2 in increasing order.\nAnswer: -1151, 2, 440.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -10507.4269017?\nAnswer: -10485.4269017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -16000*f**2 + 8*f - 5. Let j be v(1). Is j\/(-3) - (0 + (-16)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q - 1. Let d be t(-2). Let l(a) = -a**3 + 3*a. Calculate l(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 - 5*z**4\/24 - 3*z**2. Let q be x(6). Suppose m + m = h + 1, -q = -2*m. Solve -c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 1571 + 1571.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/10)\/((-2)\/10). List the prime factors of 6\/15 - c\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 14*y - 96. Calculate s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15960.991393 + -15961. What is q rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166081 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 381245 - 117?\nAnswer: 381127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:34 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + -7. Let u = -15 - r. Suppose -57 = -3*o + u. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28592 and 23872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*b + 327 + 335 - 2*b**2 + 354 - 79*b**3 - 1064 wrt b.\nAnswer: -474*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 20\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - l - 1. Let s be g(2). Let c be (-200)\/s + (-4)\/(-18). What is the common denominator of 99\/(-15)*c\/12 and 77\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) 4 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 11*h - 10. Suppose 3*j + x - 3*x = -27, j = -5*x - 9. What is the units digit of c(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 - 5 = 0. Let a(y) be the first derivative of 16 - 5 - 2*y + 0*y + s*y**3 - 3*y. Differentiate a(t) with respect to t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -945858 + 1520675. Suppose a = 16*r + 4798817. What is r rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 + -2 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 3*k + k)*(-21 + 57 + 72 + 0) in the form z + s*k and give s.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from {t: 10, z: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x + 18. Suppose -2*k - 2*r = 2, 0*k - k - 5*r = x. Let c = 1 - 3. Sort -5, c, k.\nAnswer: -5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 16*r**2 + 7*r + 132. What is t(-16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 8*z - 2*z - 8 + 0*z to the form t*z + o and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-63)\/12))\/(((-96)\/28)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k + 9. Let l(j) = -8*j + 8. Let h(o) = -7*l(o) + 6*x(o). Is 5 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*q - 6, -2*g + 10 = 3*q - 4*g. Suppose -3*n + 3*v = q*v - 4, n + 5*v = 28. Factor -4*h**3 - n*h**2 + 5*h**2 + 0*h**4 + 2*h**4 + 0*h**4.\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*h**2 - 11*h**2 - 12*h**2 - 11*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = -2*n, -n + 3*d - 15 = 2*n. Which is the smallest value? (a) n (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - a0?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6687027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) + 345\/27. Suppose -11*g + b + 9 = 0. Find h, given that -2\/3*h**3 + 2\/3*h**g + 2\/3*h - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1))**26)**(-2\/25)\/(((y*y**(-1\/7)\/y*y)\/(y*(y**(2\/11)*y)\/y))\/((y**(-1\/6)\/y)\/(y\/((y*y**(-3)*y)\/y)))) assuming y is positive.\nAnswer: y**(-1775\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + 34. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + 18 + (-8 - -10). Solve 3*p - 4 = -t*g + 36, -5 = -2*g + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(1452) + -6*(sqrt(1452) - sqrt(1452)*-2))\/(-6*sqrt(24) + sqrt(30)\/sqrt(5)*6 + sqrt(6)).\nAnswer: 308*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8163, -32726, -73789, -131454, -205823, -296998, -405081?\n\"Answer: -17*y**3 - 8148*y**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -87*k**3 + 240*k**2 - 48*k - 240. Let m(y) = 35*y**3 - 96*y**2 + 19*y + 96. Let r(u) = -5*a(u) - 12*m(u). Factor r(x).\nAnswer: 3*(x - 2)**2*(5*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45696.53 tonnes?\nAnswer: 45696530000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 248*z + 244.\nAnswer: 4*(z + 1)*(z + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1263, 1386, 1509, 1632?\n\"Answer: 123*y + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 996670*g + 996665.\nAnswer: 5*(g + 1)*(g + 199333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9223566.\nAnswer: 2, 3, 11, 29, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 967, 1011, 1107, 1267, 1503, 1827, 2251, 2787?\n\"Answer: 2*n**3 + 14*n**2 - 12*n + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1341, -0.10427, 18, -0.5 in descending order.\nAnswer: 18, 0.1341, -0.10427, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.41 - 58.59. Let o = 58.9999975 + t. What is o rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (399\/(-84) - -5)*48\/(-132)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2 = -2*m, 0*m + 4*m = -2*c + 28. Let x be ((-4)\/m)\/(6\/36). Let t be 2\/x - 5916\/8. Round t to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37176221 (base 8) in base 4?\nAnswer: -133033302101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, b: 2, e: 3}. Give prob of picking 2 e, 1 q, and 1 b.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577513705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/2*(-4)\/(-3). Let z be 3\/(-6) + (-2)\/h. Solve -4*r - 22 = -5*m, z = -0*r - 2*r + m - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 4.9. Let w = q + 4.9. Let j = 20 - 41\/2. Sort 6, w, j.\nAnswer: j, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 330789495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143737639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((0 - 4 - 2) + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2544 and 18126.\nAnswer: 145008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 372\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2896771 + 0.37485906.\nAnswer: 2896771.37485906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 9 (c) -3 (d) 9466 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 16. Let k(w) = w + 1. Let o(x) = -x + 2. Let h(l) = 2*k(l) + o(l). Let j(u) = 9*h(u) + 2*s(u). What is j(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 21. Suppose -4*m + 13 = 1. Suppose -2 = -m*y + i. Solve -o - y*o + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 times 0.1388952?\nAnswer: 30.4180488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-9 + -2)) + (17 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/240 - 5*t**4\/96 + t**3\/4 + 2*t**2 + 23. Find c, given that x(c) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 3214, 0 in descending order.\nAnswer: 3214, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Let p(g) = g**2 - 3*g + 2. Let q be p(3). Suppose m = q*o + 3*o - 25. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*g - 3*v, -3*v + 8 = 2*g + 1. Let t(w) = 8*w. Give t(g).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:12 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-36)\/42 - 2950\/(-1155) and 26\/5613.\nAnswer: 61743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659234.\nAnswer: 2, 329617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 9\/46 (c) 1\/5 (d) 17 (e) 3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 + (108 - 102) - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -223335.209 to the nearest one hundred.\nAnswer: -223300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13939*y**2 - 1 - 1360*y**3 - 12425*y**2 + 1 wrt y?\nAnswer: -8160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 7 = -38 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.089812*-0.3454\nAnswer: -0.0310210648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 2\/13 (c) 5 (d) 859\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-198)\/3)\/(-1 + (-3)\/(-9)). Suppose -p + n = 94. Solve -p = 7*i - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 9*n = -20. Suppose g - n = -0*g. What is the lowest common multiple of g and 7*9*6\/21?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 323*a - 2257. Let y be w(7). Solve 6*z = -2*l - 24, 15*z + 7 = y*l + 16*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + 3 - 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21550 and 118350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 1, c: 1, i: 2, y: 3, v: 2}. Give prob of picking 2 n and 1 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*j - 15 + 63 + 308*j as l*j + p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o + 10. Suppose -6*s - 1 + 13 = 0. Suppose 2*j + 1 = j - o*i, -3*i + s = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117010\/1103 at most as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8883438 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.4749373 months?\nAnswer: 0.206244775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l + 35*l = -22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3\/7*w**2 + 1\/7*w**4 + 5\/7*w - 2\/7 - 1\/7*w**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - 1857*a + 0.\nAnswer: -1857*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2252 + 2257. Solve 0 = 2*q - o*x - 9, -3*q + 2*x = -6*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 388*p + 9. Let l(r) = -6*r - 4. Calculate g(c) + 2*l(c).\nAnswer: 376*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -22323110 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147032385 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*b - 3210*b + 639*b + 648*b + 640*b + 628*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.02 (b) 98 (c) -3 (d) 0.1 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(646\/357)*18\/(-9)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 1. Let p(s) = s**3 + 4*s**2 + 4*s + 10. Let o(x) = -p(x) + 4*z(x). What is the tens digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose -u + 3*a - a + 2 = b, -2*u - a = 1. Which is smaller: u or 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 + 3*s. Let b be g(11). Suppose -31*w - 284 = -b*w. What are the prime factors of w?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6635 and 30.\nAnswer: -6605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2278 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczziclzclzlclz. Give prob of sequence zccz.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2543 greater than -2544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/2035 and 139\/4092.\nAnswer: 757020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6293375*r**3 - 101719*r**2 - 4*r - 2 wrt r.\nAnswer: -37760250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-10)*(10 - 0). Let d = 0 - 10. Let a(p) = -p - 3. Let y be a(d). Calculate the greatest common divisor of y and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 2, s: 2}. Give prob of picking 2 s, 1 r, and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2. Let f(u) = 6*u**2 + 2238 - 2238. Determine f(g(i)).\nAnswer: 216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/4 - 15\/20) + 3. Suppose -p*x + 14 = s, -4*x = 4*s - 8 - 16. Suppose x*q - 11*q = -27. Solve -17 = q*o + 2*o - 3*v, -3*o - v = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*i = -1 - 5, -2*i = -2*r - 24. Let a(q) = q**2 + 10*q - 8. Let t be a(r). Suppose 4*v = 2*z + 52, 3*v - 1 = 4*v + t*z. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.418585 hours to milliseconds.\nAnswer: 30306906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 80911\nAnswer: -48546.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-50)\/(-35))\/((-4)\/(-28)))\/(-1). Do -75\/7 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 - 120 = 0. Let k = 123 - s. Calculate the greatest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3462*x + 45007. Determine t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27649 + 21511 = -186*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {d: 2, e: 9, h: 2, x: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 22 = -13*v + 9, -4*y + 5 = -5*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-44) - 43\/52. Which is the third biggest value? (a) 3 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/2 + 655*j\/2 + 5112 = 0.\nAnswer: -639, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 15. Let g = j - 9. Let i = 7 - 7.4. Which is the second smallest value? (a) i (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 5*i + 6. Let r be j(6). Suppose r = -4*p + 16, 0 = -v - 4*v + 5*p - 15. Which is smaller: -1.4 or v?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.4615 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 353. What is q(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9914 divided by 4957.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*40\/(-12). Let k be (-6 - -9) + 2 - 2. Suppose 2*f - 18 = k*w, -t*f + w + 11 = 2*w. Solve -f*j = j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5532 and 1074.\nAnswer: 990228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let o = 3.149 + 139.751. Let p = o + -143. Which is the nearest to -1? (a) r (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 44124.159\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:01 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435997 is divided by 399.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12339929574 - 7?\nAnswer: -12339929581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2. Let z(n) be the second derivative of -n**3\/3 + 2*n + 4. Calculate z(t(a)).\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249087272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/396)\/((15\/(-84))\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -13 - 13) + (-6 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*4*(-440)\/10912*31)\/(7\/2)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37758992 to the nearest integer?\nAnswer: 6145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1306 + -1968. Let y(o) = -o - 2. Let p be y(-2). Is 1 - (0 + p) - (k - -24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151\/((-14)\/(-21) - (-1)\/3).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -331, -312, -281, -238, -183, -116?\n\"Answer: 6*n**2 + n - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 318973 and 0.029.\nAnswer: 318973.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 5*l**2 + 6*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:55 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-5) + (-46)\/230. Suppose 5*r = -o*r + 8. Solve -4*d - x - 10 = 0, -r = -3*d + 2*x - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373455781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = 0. Find the second derivative of -2 - 4*o - 5*o**2 + s + 2 wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/33)\/((-1)\/(-11)). Sort -27, -2, o.\nAnswer: -27, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7960336 divided by -16\nAnswer: 497521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/60 - s**4\/4 - s**3\/6 + 21*s**2. What is u(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 99 = 0. Suppose 527*l - 540*l + 143 = 0. Calculate the highest common factor of l and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - 8*c + 15. Suppose 0 = 13*y - 8*y - 30. Let g(s) = -2*s**2 - 6 + 1 - 3*s + y*s + 0. What is -11*g(f) - 4*v(f)?\nAnswer: 2*f**2 - f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -72*z**2 - 245*z + 12. Calculate q(-4).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237935 to the power of 1\/2, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1193, -2383, -3573, -4763, -5953?\n\"Answer: -1190*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 0 + sqrt(3) + -1*sqrt(3))**2*6 + -4*-1*(5*(sqrt(243) - 1*sqrt(243)))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -16, 4, -3 in descending order.\nAnswer: 4, -3, -16, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, 21 in ascending order.\nAnswer: -5, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -0.54. Let i = -82.8 + 4.8. Let y = i + 77.8. What is the second biggest value in -0.4, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(60\/9)*(32\/(-18) - -2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**3 + 11 + 4*c**3 + 3*c**2 + 10*c**3 - 10*c**2 in the form n*c**2 + r*c + y*c**3 + q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(92*k + 165 + 145 + 149 - 596 + 154) to a + u*k and give u.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + g**2 - 2*g + 1. Let i be y(1). Suppose -m = 3*m - m. Suppose m = -j - 4*u - 5 - 15, -5*j = -4*u - 20. Solve b + b + i = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 65*c**2 - 137*c + 6039. Give x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.250758 + 2.\nAnswer: 1.749242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 4177596*v - 355066760 = 0.\nAnswer: -1044314, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) 32 (c) 1037 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58608 (base 14) to base 15.\nAnswer: 43b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3853 = h, 4*h = -0*t - 2*t + 2552. Suppose -o = -2*o + t. Let l = 2037 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 7*w**3\/6 - 3*w**2\/2 + 28*w. Let m = 378 + -383. Give z(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 24*b**3 + 13*b**2 - 25*b + 29. Let y be (1 - -5)\/(6 + 80\/(-15)). Is g(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 0, -4*c + c + 5*r = 297. Let o = -85 - c. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*y**2\/11 + 1238*y\/11 - 40\/11.\nAnswer: 2*(y + 20)*(31*y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**8\/5880 + f**6\/315 + 2*f**3 - 2. Let o(w) be the third derivative of i(w). Determine d so that o(d) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47b - 24439?\nAnswer: -23c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1a72767?\nAnswer: 1a72766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsgxscsds. What is prob of picking 1 x and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:14 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1128 - -1132. Solve b - 3*w = 7, b = -m*b + w + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*c + 179*c + 17516 = -32*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390775 is divided by 31810?\nAnswer: 9055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/32*-4*4\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -38, -46, -38, -8, 50?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 5*f + 14*c - 121, 5*f - 4*c - 103 = 0. Suppose -9 = -2*s + 2*u + f, 2*s - 35 = 3*u. Calculate the greatest common factor of 247 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 15. Suppose 4*h + 188 = p*o, 2*o - 114 = -3*h - 0. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0*n + 3*n - 6*n. Let j be 12 - (2\/4)\/(40\/(-400)). Let h(b) = -5*b + 7*b + j*b + 6*b - b. Give t(h(p)).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -9*o + 2*o. Suppose -2*y = -o*j + 3*y + 14, -4*y + 5 = 3*j. Factor 16\/7*m + 10\/7*m**2 + 8\/7 + 2\/7*m**j.\nAnswer: 2*(m + 1)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 94, 58, -34, -182, -386?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 71 - 1 + 55 = 0. Solve f - 28*o = -26*o - 1, -2*f - i = -o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-55)\/3)\/(-11) + 0)\/((-9)\/(-81)). Solve 0 = q*n - 30*n + 105 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - 40. Suppose 2*h + 56 = o*h. Suppose -3 = h*w - 7*w. Sort -0.2, w, 0.4 in increasing order.\nAnswer: w, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/23, -69\/7, 3, 1.1, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m**2 - 9*m - 6. Let t be d(-6). Let p be 514\/t - 38\/(-57). Is 1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*y + 3, -3*y = m - 4*m - 3. Suppose 0 = -m*v + 424 + 23. List the prime factors of v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/210 + z**5\/105 - z**4\/3 - 16*z**3\/7 + z**2 + 651. Factor g(j).\nAnswer: 4*(j - 4)*(j + 2)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 213559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19b8 + 32?\nAnswer: 1a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2. Let o(r) be the third derivative of -r**4\/8 - 69*r**3\/2 + 3*r**2 - 92. What is o(y(g))?\nAnswer: -9*g**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3401.25, 0, 5 in decreasing order.\nAnswer: 5, 0, -3401.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 32*z + 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 143779 (c) 1 (d) 5 (e) -2 (f) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 422 and 584.\nAnswer: 246448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12686, 13346, 14446, 15986?\nAnswer: 17966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j - 1. Let q be m(5). Let s = q - -129. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -q + 16, 3*z + 22 = -5*q + 3*q. Let u be (-3 - z) + (-7)\/(-7). What is the derivative of u - 11 + 8*i**4 - 7 wrt i?\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 2*r + 0*r + (0 + 4 - 6)*(-7*r - 2*r + 5*r) + 1 - 1 + r - 76 - 116 + 12*r + 222.\nAnswer: 19*r + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 - 6*d + 3. Let k be m(-6). Suppose -x + 6*c = 3*c - 198, -k*x - 4*c + 633 = 0. Suppose 0 = 2*t - 5*t + x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 172692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15, -3*s - 213 = -5*r + 423. What is the third derivative of 29*o**2 - r*o**4 - 7*o**2 + 21*o**2 wrt o?\nAnswer: -3096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010101101100 (base 2) to base 16\nAnswer: 156c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545 + -488. Suppose -53*f + n*f = 43324. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*m**3 + 375*m**3 - 157*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 240751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**3 - 249*d**2 - 2144*d - 61. Determine h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/280 - r**5\/70 - r**4\/56 + r**3\/7 - 8*r**2. Determine o so that k(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/13, 1, 0.104911 in descending order.\nAnswer: 1, 0.104911, -3\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -125923 and 4342.\nAnswer: -121581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2395325290 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 9*o**2 + 4*o. Let l(h) = 3*h**3 + 8*h**2 + 3*h. What is -4*l(d) + 3*m(d)?\nAnswer: -6*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-2)\/6)\/(8\/5640*5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*(1 + 7). Suppose 0 = u*p - 5*j + 4, -3*p - j = -8 - 8. Is (1 + (-33)\/(-12))*p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.47 - -0.67. Which is the biggest value? (a) 1 (b) 0 (c) -0.8 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/17 + 46822*u\/17 + 5508.\nAnswer: 2*(u + 2)*(u + 23409)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*b**3 - 135*b + 0*b**3 + 135*b.\nAnswer: 204*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + o + 7 = -89, 3*o - 35 = 2*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 6*o - 5. Suppose 0 = 3*w + 2*w - 39 + 9. Determine n(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 4*v**2 + v + 2. Let o be g(-2). Suppose -264 = -o*c - 64. Suppose 39 = 4*n + q, 0 = 3*n - 3*q + 7 - c. Solve 2*b + n = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18082518 a multiple of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 s when three letters picked without replacement from {d: 2, i: 3, x: 1, n: 1, s: 5, v: 1}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686 is divided by 305?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 12) in base 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-27)\/25)*(-145)\/29. Factor 2\/3*a**2 + q*a - 4\/15.\nAnswer: 2*(a + 1)*(5*a - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*n + 24, 21 = 4*c + 3*n + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6373926 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1869097*g**4 - 1189884*g.\nAnswer: 22429164*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -5*d + 1, -g + 4*d = 25. Let u(c) = -c**3 - 4*c**2 + 3*c - 7. Let t be u(g). What is the second smallest value in 0.4, t, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/35)\/(-3) - (-18)\/14. Let k(y) be the first derivative of -c + 1\/3*y**2 - 4\/9*y - 2\/27*y**3. Factor k(p).\nAnswer: -2*(p - 2)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -3, -25, -5, 15 in ascending order.\nAnswer: -25, -5, -3, 1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11. Let z(j) = -j - 1. What is -p(w) + 2*z(w)?\nAnswer: -2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407354 to the power of 1\/2, to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12602 - ((-37)\/74)\/(1\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17750 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -4*b + 75 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orr when three letters picked without replacement from {o: 1, r: 2, w: 2, e: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 12*g - 5. Let s be q(-11). Let l(z) = 199 + s*z - 199. Let h(d) = 6*d. Give h(l(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 2*z)*(14*z**4 - 20*z**2 - 20*z**2 + 42*z**2 + (2*z**3 + z - z)*(4 + 2*z - 4) + 3*z**2 + 2*z**4 - 3*z**2 + 0*z**4 - 4*z**4 + 5*z**4).\nAnswer: -42*z**5 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 7 - 19 + j**2 - 123*j**4 + 2*j - j**2 to z + q*j**3 + c*j + f*j**4 + h*j**2 and give f.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 1528?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1204 divided by -19911\nAnswer: -1204\/19911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 2307044 - 2307044 + 167*y**3.\nAnswer: 167*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 - 11 = 0. Find the third derivative of 5*o**4 + 4 - o**3 + 3*o**3 + 205*o**2 - 200*o**t wrt o.\nAnswer: 120*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(1539)*-2 + sqrt(1539))*-4)**2.\nAnswer: 4826304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75575 >= 75572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-16)\/320)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -101562?\nAnswer: 101563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -157 * 42339\nAnswer: -6647223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/4 + 175*z**4\/16 - 65*z**3\/12 - 3573*z - 1. Suppose b(t) = 0. Calculate t.\nAnswer: 0, 1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -577 + -3564?\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let l = 4 + m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -29. Suppose 86 = 78*k - 76*k. Calculate the remainder when k is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 2.3. Let d = -18 - -18.3. Let m = -1 + 0. Which is the biggest value? (a) j (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26278299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, r: 3, o: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -15*r - 4*v + 1001, 3*v = 2*r - 639. What is the highest common factor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 2*d**3 - 6*d**3 + 0*d**3 + 3*d**2.\nAnswer: -8*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + 0.5. Let t = c + 0.8. What is the nearest to -1 in 1, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1048.5 * -1.\nAnswer: -1048.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -360500 divided by -70?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 168*v - 753. Give k(-145).\nAnswer: -4088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 5 = -33*m, 5*m - 35 = 4*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2535.55296?\nAnswer: -1267.77648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*3*sqrt(33)\/sqrt(3).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 9. Let h be g(-4). Suppose 0 = -b - 4*y + 43, 2*b + 5*y = h*b - 78. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:12 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/5 - 13 - (-7582)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from loooooloo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19451111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 7}. Give prob of sequence oo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(2\/5)*z**(-2)\/z*z*z**(-3) assuming z is positive.\nAnswer: z**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = a + 21, 5*m - 6*m = -3*a - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n + 30. Let w(z) = z**2 - 51*z + 636. Let f be w(22). Give x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j**3 - 15*j**2 + 49*j + 7. Let w(a) = -a**3 - 2*a**2 + 1. What is i(o) - 7*w(o)?\nAnswer: -4*o**3 - o**2 + 49*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -258550389 to the nearest one million.\nAnswer: -259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15126607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11887\/780 + -2\/195. What is the common denominator of 43\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p**2 + 1. Let i be x(-2). Suppose -2*s - 2*c + 10 = 0, -4*s + i*c - 10*c = -23. Determine q so that 4\/5*q**s + 12\/5*q + 8\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let u be a(-5). Suppose -9*z = -10*z + u. Calculate the greatest common factor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-1)\/7 - (-572924)\/154. Let r be (f\/(-25))\/(-3)*(-10)\/(-4). Let m = -56 + r. What is the lowest common multiple of 7 and m?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011111110010 (base 2) to base 12.\nAnswer: 1a616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Let o be -3*2\/(-12)*(-32)\/(-7). Let x = o + -17\/7. Which is the nearest to -2? (a) v (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 2*v + 1, -35 = -3*o - 5*v. Solve o*d - 35 + 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -16 - (-1 - (4 - 13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -351 at least as big as -352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*o - 65*o - 78 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 4*y**3 - 7836 - 7838 + 15651 to k*y**2 + o*y + w + v*y**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506160975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.172 - 0.029. Let p = u - -0.2. Round p to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-15))\/((-32)\/36 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -226\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*q - 7*q. Let l(n) = 27*n - 1. What is the remainder when l(2) is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -3)\/(((-18)\/15)\/2). Suppose 4*l + w*x = 38, 22 = 2*l - 5*x - 12. Solve -2*j = 4 - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510*f**2 - 82*f**2 - 2540*f + 3035*f**2 wrt f?\nAnswer: 6926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(1*sqrt(7)))\/(-4*sqrt(144))*6.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37.211 * 163\nAnswer: -6065.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 13 = -13 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527089845?\nAnswer: 3, 5, 17, 2067019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -90*y**2 - 13*y + 43. Let x(a) = 46*a**2 + 7*a - 24. What is -4*j(i) - 7*x(i)?\nAnswer: 38*i**2 + 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (980\/455)\/(9\/117)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**2. Let t(l) be the first derivative of -5*l**3 - 457. What is q(t(r))?\nAnswer: -2250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 = -4*s, 3*s + 0*s - 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 4. Let b(r) = 9*r - 9. Suppose 5*j = -q + 9*j - 19, -2 = -2*q - 2*j. Suppose -3*o + 2 = -o. Let g be (-6)\/(-2 - -1) + o. Give g*p(y) + q*b(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 87 = -9*w + 44, 8*w + 3 = i for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((-7)\/(448\/(-12))). What is the greatest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300034 and 1096676.\nAnswer: 31803604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t = -17, -4*r + r + 4*t + 37 = 0. Let i = r - 12. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:39 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 138*k**2 - 10*k - 1393. Calculate v(-138).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262 + 135 + 23)*(-2 + 4 - 4)*(4 - 1 + 0)*(3*a**2 - a**2 - 3*a**2).\nAnswer: 2520*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2 - 2550\/(-4) - (-13)\/((-78)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573638, 1147205, 1720772?\nAnswer: 2294339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1102*6\/4*(-18)\/54.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -7*o**4\/12 - o**3\/3 + 4*o**2 - 6*o. Let p(h) = -6*h**2 - 2*h + 7. Let n be -2*3\/27 - (-4264)\/(-738). Give n*p(c) + 5*s(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 20. Let s(f) = 3*f + 39. Let r(b) = -5*i(b) - 2*s(b). Let t be (1 + -1 - 2)*-6 - 3. What is the tens digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4838 and -268.\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27492 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-21) + (-2)\/7. Let h(v) = 2*v**3 + 16*v**2 + 2*v + 16. Let m be h(-8). Suppose m = 46*c - 35*c. Solve d + c - 3 = u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 21 + (-16 - -25) - 14?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 6. Suppose c = 6*c + 2*s + 16, 2 = 2*c + 5*s. Let b be 8\/(-6)*3\/2. Let n be (c\/(-10))\/(b\/20). Calculate g(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 26 - 1) + (14 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6932408 + 4434.9.\nAnswer: 6936842.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 213 = -12*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -274000\nAnswer: 109600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y + 5*y + 65 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1245825 and 415275?\nAnswer: 1245825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*z = z - 227, 0 = -a + 3*z - 84. Let h = a - 185. Calculate the common denominator of 145\/18 and 8\/(-32) - h\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2005452 (base 7) to base 16.\nAnswer: 39ebe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 25 = -2*n, 3*n - 4*o + 1 - 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 2*l + 74. Calculate a(10).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888046 is divided by 1140?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 - 1. Let u(t) = -3*t**3 + 6*t**2 + t - 6. Let v be (-6 - (-43)\/4)*(11 + -3). Suppose -3*a - v + 20 = 0. Calculate a*h(c) + u(c).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2262790 and 3690?\nAnswer: 20365110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 1.92. Let h = c - 83.88. Let p = h + 83.99806. What is p rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14 + 16 = 0. What is the second derivative of -6*b**2 + 14*b**2 + 6*b - 8*b**q + b**5 wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 91167565.\nAnswer: -45583782.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/60 + b**4\/24 + 3*b**3\/2 - 2*b**2. Let n = 1 - 1. Does 9 divide h(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11263811 and 9412?\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -154?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**8\/336 - v**5\/10 - 6*v**2. Find the third derivative of j(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:11 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1 - (-10 + (6 - -25) + 9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49438, 49439, 49440, 49441, 49442?\n\"Answer: j + 49437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 2831*l**2 + 5761560*l + 1069674768.\nAnswer: (l - 4332)**2*(l + 171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 102 and 21742872.\nAnswer: 21742974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 85.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from zrzgzrzrrrzzz?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(2))\/sqrt(3))\/(-6*-2*sqrt(5)) - (sqrt(18) + 3*sqrt(162) + sqrt(18))\/((sqrt(9) + 1*sqrt(9))*2)) + 4.\nAnswer: -8*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.05 - -0.05. Let f = 41.1 + a. Let u = 4.6 - 0.6. Sort 2, u, f in descending order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let j(w) = 3. Let g(y) = -2. Let r(a) = 3*g(a) + j(a). What is 3*p(b) - r(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = -140. Let z = 10 - 6. Suppose z*p - 3 = 53. What is the greatest common divisor of p and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*k + 24, -5*v + 231*k + 25 = 228*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24989881523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 4 + 5 - 9.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15699*b - 1381520. Calculate u(-88).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 645, 5272, 17861, 42396, 82861, 143240?\n\"Answer: 664*g**3 - 3*g**2 - 12*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 2*p + 24. Let h be z(6). Suppose -f + h*f = -3*u + 45, -5*u = 2*f - 86. Find the second derivative of u*y - 17*y + 22*y + 34*y**2 wrt y.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/(-9) + 2\/(-3). Let m(o) = -2*o**3 - 3*o**2 + o. Let z be m(2). Let w = 86 + z. Calculate the greatest common factor of v and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*1 + 1.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3371 - 3371.2. Let j = -0.05 + -3.95. What is the nearest to v in 1\/5, -12, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -52032096.\nAnswer: -52032095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = o + 3*p - 12, 82 = 4*o - 3*p. Suppose -d = o - 27. Suppose 2*r + 2 - 4 = 0, 0 = -d*n - 3*r + 203. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*y - 6, 3*w = 5*w + 4*y + 20. Find the common denominator of 1395\/(-216) + w\/(-6) and 5\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(2 - (-16)\/(-6)). Let m(c) = -c**3 + 4*c**2 - c - 3. Let f be m(3). List the prime factors of 80 - (f + -4 + u).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 3*i - 4. Let q be d(-3). Let m = -67 + 66.8. Let w = -12 - -37\/3. Put w, -2, m, q in decreasing order.\nAnswer: q, w, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6145293, -6145402, -6145513, -6145626, -6145741, -6145858, -6145977?\n\"Answer: -s**2 - 106*s - 6145186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 6*h - 3. Let a be z(-6). Let m be (-62480)\/(-3) - a\/9. Let c = 11427 - m. Round c to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95424)\/(-13916)*10\/32.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 1, d: 1, n: 2}. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 37*k + 105. Let c be g(-3). Let o(w) be the second derivative of 0*w**c + 1\/12*w**4 + 0*w**2 + 0 - 9*w. Let a(v) = -5*v. What is o(a(y))?\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/(o**(-26)\/o)*o*o\/(o*((o*o**(3\/17))\/o)\/o)*o*o**1\/o**5 assuming o is positive.\nAnswer: o**(490\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-66)*3\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 2*sqrt(19)*5 - (sqrt(76) - (sqrt(76) + -1))**2.\nAnswer: -1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -22*g + 16. Suppose 0 = -g*n + 4675 + 3193. What are the prime factors of n?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/17*17\/(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 485780419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11 = 3*r + 63, 5*p - 2*r = 108. Let h(i) = i**2 - 5*i - 7. Let x be h(6). Let g = 6 - x. What is the remainder when p is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/133 and 30\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1485*s + 16329. Give i(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 27 = -3. Let a(c) = 26*c**3 - 11*c + 12. Let h(k) = -9*k**3 + 4*k - 4. Let g(r) = s*a(r) + 11*h(r). Differentiate g(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5650000 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280711 + 83371087\/297. Calculate the common denominator of c and -131\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/26 or 169?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:37 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 876178, -4, 4, 6, -1 in descending order.\nAnswer: 876178, 6, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a - 2*a**2 + (2*a**2 + 4*a - 4*a)*(-3 + 1 + 3) - 4*a**2 + 3*a**2 + 3*a**2 + 3 - 3 - 5801*a**2 + 4680*a**2.\nAnswer: -1119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3065.421 - -2379942.421. Let d = p + -2376855.999987. Let y = -21 + d. Round y to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 - -325. Calculate the remainder when q is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (790*a - 13 + 797*a - 1583*a + (-1 + 5 + 1)*(-3*a + 4*a - 3*a))*(-1 - 3*a + 1 + (0*a + 0*a - a)*(3 - 3 + 2)).\nAnswer: 30*a**2 + 65*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/36177 and 19\/1367724.\nAnswer: 42399444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 2 - 7)*(1 + 0 + 1)*(-1 + 1 + 3)*(-1 + 1 - 2*o)*(-7*o**4 - 30*o**4 - 39*o**4).\nAnswer: 10944*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.378216?\nAnswer: 0.1512864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 - 0?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12286 + 12286. Let l(d) be the third derivative of 11\/24*d**4 + 2\/15*d**5 + 0*d + q*d**3 - 12*d**2 + 0. Find the second derivative of l(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 2\/7 (c) 1\/4 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 274\/3*s**2 - 24 + 134\/3*s**4 + 8*s - 346\/3*s**3 - 14\/3*s**5 = 0.\nAnswer: -3\/7, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 7*v**2 - 8*v - 8. Let t be h(-6). Let y = 4 - 3. Suppose -y - 19 = -t*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhshhssshshhhhs. Give prob of sequence hh.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13713282 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/4 - 1\/2. Suppose w = -w + a. Let p = 6 - w. Let n(c) = c**2 + 8*c + 4. Give n(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -25\/6, 5\/2, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*20\/560 + (-55)\/1380*(5 - -9)?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219161078 to the power of 1\/2, to the nearest integer?\nAnswer: 14804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032000333 (base 4) in base 12?\nAnswer: 240767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2250 (base 8) to base 12.\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-four fifths of a second?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z. Let s(x) = 3*x. Let n(m) = -m. Let o(b) = 2*n(b) + s(b). Give o(h(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 275379, 275377, 275375, 275373?\n\"Answer: -2*l + 275381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 33 = -2*g. Let o(j) = 8*j - 39. Let q(y) = -3*y + 13. Let c(r) = g*q(r) - 4*o(r). What is the units digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 36 = w, 88*w - 3*f = 90*w - 77. Suppose -5*p = 5*v - 650, 0 = -4*p + 2*v - v + 530. Calculate the remainder when p is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537833, -537866, -537903, -537944, -537989, -538038?\nAnswer: -538091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -501, -1153, -2079, -3291, -4801, -6621, -8763?\n\"Answer: -2*v**3 - 119*v**2 - 19*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:00 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*t = -6*f - 29, t = -4*f - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4 + 0)*63\/(-12)*32\/112.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.0511 meters in kilometers?\nAnswer: 0.8260511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 40*w + 40. Let r(a) = -39*a - 54. Determine 4*f(o) + 3*r(o).\nAnswer: 43*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34.53339 nanometers?\nAnswer: 0.00003453339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*x + 663336 - 663459, 18 = 3*q + x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*d + 3, 698*b + 26 = -5*d + 696*b. Put 232, d, -1 in increasing order.\nAnswer: d, -1, 232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 3*d + 1. Let c be g(-1). Let w(m) = 6*m + 13 - 32 + 13 - 7*m**c + m**3. Give w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + m)*(0 + 0 - m**2) - 69*m**3 + 1 + 20*m**2 + 14*m**3 - 18*m**2.\nAnswer: -57*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 + k**2)*(2*k**2 + 14 - 14 + (-3 - 1 + 2)*(5*k**2 - 4*k**2 - 3*k**2)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose 0 = -3*n + 3, o*b + 0*b - 27 = n. Let x be (-66)\/(-11)*1\/2. Solve -5*g - 4 = x*d - d, 2*d = 4*g + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2673 (b) -1 (c) 9504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 1. Let j(q) = 2*q**3 - 3*q**2 + 10*q - 2. What is -4*f(d) + j(d)?\nAnswer: -2*d**3 - 3*d**2 + 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 60 + (-3 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(171) + sqrt(171) + (sqrt(171) - sqrt(171)*-1)*-6 + sqrt(171)))\/(sqrt(36)\/(sqrt(48)\/sqrt(3))*-1).\nAnswer: 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 + 58\/18. Let y = x + 0. Suppose 3*c = -5*i + 26, -2*i + 6 = 5*c - 12. Solve 1 = 5*g - 3*r, -r = -3*g + c*r + y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23835721*f + 18730859 wrt f?\nAnswer: -23835721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*u - 100. Let n = 102 - u. Is n\/4*(-8)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35195826 by 6.\nAnswer: 5865971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from aaazfazajzaa.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539372*m**3*w**3 + m*w**3 + 11*m - 3*w**3 + w**2 - 124*w wrt m?\nAnswer: 3236232*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-51) - 1)*(2420\/4235)\/(2\/(-63))?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9813 - -17576. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 10*q**4 + 14*q**4 - 2*q**4 + q**2 + 3 - q**3 - 2 - 5*q to the form a + z*q**2 + l*q**3 + r*q + m*q**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 2. Let o be y(-2). Suppose 14 = -4*j - o. Calculate the remainder when 25 is divided by 2\/j + (-444)\/(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -16 (b) -4 (c) -1 (d) 1\/2 (e) 241 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 8. Let l be s(-8). Suppose -5*h + 10 = 5*v, -h - 3*v - 5 = -3. Let p be (-29 + 41)*(-1)\/(-22). Which is the nearest to -7? (a) p (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**5 - r**4 - r**3 - r**2 - r + 1. Let l(s) = -s**4 - s**3 - s + 1. Let q(w) = -i(w) + l(w). What is the third derivative of q(p) wrt p?\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760662188?\nAnswer: 2, 3, 17, 59, 48761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let g(i) = 3*i - 8. Suppose 0 = -2*s - 2*s, -a + 5 = -2*s. Let c(x) = -a - 5*x + 4*x + 3*x. Let n(q) = 8*c(q) - 5*g(q). What is b(n(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64495602 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*c = 35, 2*r + 0*c + 9 = 3*c. Suppose -r*b = -7*b. Determine z so that -2\/5*z**2 + b*z + 0 - 2\/5*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 468\/273) + (-192)\/574.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 16*v - 2. What is the remainder when h(18) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6516 and 11946.\nAnswer: 71676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3. Let q = 0.075 - o. Let t = 0.0219 + q. What is t rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36189553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2782423321 and 0.77.\nAnswer: -2782423320.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 86703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 13*x**6\/6 - 13*x**3\/3 + 12. What is the third derivative of t(l) wrt l?\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*u - 555 - 345 = 0, 945 = 5*q - 4*u. Suppose -2*l + 67 = -q. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*i - 80 - 4*i**3 - 40*i**2 + 29*i - 81*i - i**3.\nAnswer: -5*(i + 2)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b - 4*o - 28, 3*b = o - 37. Let m(c) = -5*c - 93. Let w(v) = 4*v + 69. Let u(p) = 3*m(p) + 4*w(p). Give u(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1024 - 1024 + 285*q)*(-q**2 - q**2 + 4*q**2) to s*q**3 + t*q**2 + i + v*q and give s.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*x - x, -2*p - 131 = -3*x. Let r = p + 143. What is the remainder when r is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.061 to one dp.\nAnswer: -49.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.587 + 8.62321. What is l rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 + (-918)\/(-6545). Let j = g + 6\/11. Which is the nearest to j? (a) 4 (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17295 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -6, -9?\n\"Answer: -3*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 3560386?\nAnswer: 3560427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-63))\/(5\/(-3825)). Let y = p + 4027\/14. Calculate the common denominator of -91\/18 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -183*h - 1 - 4. Which is bigger: 6\/7 or h?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 2*o - 3*o + o**3. Let h be m(-1). Suppose g = -0*g + h. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-14))\/(i*i**(-1\/58)) assuming i is positive.\nAnswer: i**(-811\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*d - 28 = 4*d, 5*a - d = 54. Suppose -2*x + 0 = -a. Solve -2*g - u + 6 = -2*u, -4*g = -x*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 162.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 57 + 2*t - 57)*(-2*t - 5*t + 0*t) + (-2 - 2 + 6)*(3*t**3 - 5*t**3 + 3*t**3 + (1 + 1 - 3)*(t**3 - t**3 - 2*t**3)).\nAnswer: 34*t**3 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -415, 5 in ascending order.\nAnswer: -415, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e (base 16) in base 11?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {p: 4, q: 1, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25140955.907043 plus 1.4?\nAnswer: 25140957.307043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:54 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -240.66 - -237. Let f = k + 3.823. Put 0.5, 3, f in decreasing order.\nAnswer: 3, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2 - 5*i + 751. Let j(c) = -c. Give 4*j(s) + n(s).\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423013059.\nAnswer: 13, 23, 53, 89797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, x: 3, i: 1}. What is prob of picking 3 a?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*a**2*f**2 + 289*a**2*f*y + a*f**2 + 2856*f**2 + 4*f*y wrt a.\nAnswer: -80*a*f**2 + 578*a*f*y + f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3891, 5, 0.055, 0.4 in ascending order.\nAnswer: 0.055, 0.4, 5, 3891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 5.6, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.1. Let l = -199 - -204. Sort -3, l, g in decreasing order.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 >= -1696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 747468000 rounded to the nearest one million?\nAnswer: 747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -2318?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (25\/(-4) - (-11)\/44). Suppose -f*b - 2*b + 2300000 = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 1120 = 17*b - 13*b for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433927481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 248.306 >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454033766 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5 - 6238*a**4 - 94062*a**3 + 131462*a**2 + 520148*a + 300864 = 0?\nAnswer: -16, -1, 3, 3134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004347 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197.13 - -699.42. What is h rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxnx. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17124?\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + 2*sqrt(136) + sqrt(136))\/sqrt(8) - (-5 + 2 + sqrt(17)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*v - 1, 5*s + 2*v + 1 = 5. Suppose -2*i = -4*o - 10, -5*o - 13 = -4*i + 1. Let t = i - -1. Calculate the remainder when s is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -93845341 divided by -8?\nAnswer: 93845341\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6950.587 tonnes to grams.\nAnswer: 6950587000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(242) + -1*sqrt(242) - sqrt(242) - sqrt(2)) + 5.\nAnswer: -sqrt(7)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10, 1 in descending order.\nAnswer: 10, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 4, a: 2, z: 4}. Give prob of picking 1 g and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j - 32 + 100. Solve -2*t = -m, 3*t + 5 = 2*m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-26)\/52). Sort 6\/5, -0.05, b, 5.\nAnswer: b, -0.05, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45903 divided by -3\nAnswer: -15301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:22 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k + 4*k + 30*k. Let y(t) = -10*t**2. Determine y(d(m)).\nAnswer: -2890*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 9*k - 5. Calculate s(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 79.\nAnswer: 5\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -245 (b) 3\/4 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 2\/5, -3\/5 in increasing order.\nAnswer: -3\/5, 2\/5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) -3\/13 (c) -2\/3 (d) 59\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 6*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -38*y - 375. Let c(s) = -49*s - 377. Give 4*c(m) - 5*i(m).\nAnswer: -6*m + 367","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912207.\nAnswer: 3, 304069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y = 15, 3*r + 5*y = 11. Suppose g = 3*g - r. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 4*b + 2. Let k be (1\/(-7)*-4)\/((-2)\/(-7)). Let p(w) = -13*w**k - 45*w + 37*w + 23 - 28. What is 9*d(u) + 4*p(u)?\nAnswer: 2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*t - 2*r + 4, -3*t + 3*r = -12. What is the tens digit of (533\/(-39))\/(t\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17371, -18049, -19177, -20755, -22783, -25261, -28189?\n\"Answer: -225*r**2 - 3*r - 17143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 - 103. Let y = s + -68. Let i(n) = 67*n + 113. Let o be i(-2). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a - 5*p = 11, 0 = -3*a - 4*p. Find the first derivative of 3*f**4 + 4 - 8*f**a - 8*f**4 + 17 wrt f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-3\/8))*d**8*d*d**2*d**(-3\/5) assuming d is positive.\nAnswer: d**(431\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/3))**(-25)\/(((((g\/(g\/(g**(-8)*g)))\/g)\/g)\/g*g*g*g)\/(g\/g**(1\/2)*g)))**24 assuming g is positive.\nAnswer: g**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/6 + 3*l. Let h(f) = 18*f**2. What is m(h(q))?\nAnswer: 648*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20519947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujc when three letters picked without replacement from {d: 1, u: 1, c: 2, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 5*o - 25, 0*o - 3 = u - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 510, 3\/17, 2 in decreasing order.\nAnswer: 510, 2, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 46. Let k(z) = -5*z + 138. What is -4*k(s) + 11*n(s)?\nAnswer: -2*s - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -11.7, -15, 1, 109, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.62 - -26. Let m = 0.38 - w. Suppose -s + 20 = 23. Sort s, m, 3\/8, 0.\nAnswer: m, s, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 33.6. Let c = -3.6 + v. What is the closest to 1\/4 in 0.3, c, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1952 - -2867. Suppose -3*q = 2*q + 5*y - k, 0 = 4*q - 5*y - 714. Suppose 2*j - q = 649. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 - 3*o - 2. Let m be w(4). Let z(a) be the third derivative of a**6\/60 - a**5\/20 + a**4\/12 - a**3\/3 + 2*a**2. Calculate z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58128150 by -543.\nAnswer: -107050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -1.02. Are 441 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7420 + -7412. Solve -3*a - 16 = k, -7*k = -8*k + a + f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -19. Let s = -10 - x. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105.7 + -106.493. What is m rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -853, -1279, -1705, -2131?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/140 + 22\/77?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.43889kg?\nAnswer: 4438890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 36. What is the units digit of t(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-5))\/(6\/20). Let m = 13 - d. What is the remainder when 48 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -109\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-1\/9)*y**(-4)*y assuming y is positive.\nAnswer: y**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*w**3 - w**2*y**3 + 2*w*y**2 - 1839*y**3 + 2 wrt w?\nAnswer: -189*w**2 - 2*w*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/3 - 1156*l + 114030 = 0. What is l?\nAnswer: 105, 1629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.34198324*-5\nAnswer: -16.7099162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 70. Let h = 37 - d. Suppose -3*f - 12 = 5*m - 156, -2*f - 5*m + 101 = 0. What is the smallest common multiple of h and f?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171))\/sqrt(9))**2*6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.75 - -11. Let d = 13.25 - r. Let m = -18 + d. What is the closest to 1\/3 in 0, m, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 27*v**2 - 2 + 46*v**2 + 16*v + 7*v - 31. What is the remainder when 106 is divided by l(20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose 3*n = 16 - h. Suppose n*k + k = 0. Which is greater: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, h: 3}. Give prob of sequence uhuh.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Let a(l) = d*l + 3*l + 0 + 3. Let k(s) = 2*s**3 - 34*s**2 + s - 18. Let b be k(17). Let q(m) = -m - 1. What is b*a(j) - 4*q(j)?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00727 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75655 and 9?\nAnswer: 680895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -112*k + 117*k - 39, 9 = 5*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - -139. Let v = 424 - u. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/8 + j**3 - 3*j**2\/2 = 0. What is j?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 15*u + 8. Let r(k) = -k**2 + 14*k + 8. Let l(g) = 4*j(g) - 5*r(g). Does 2 divide l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 6*g - 7. Let a be l(8). Suppose 3*k = 15 + a. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5*w - 39 = 0. Suppose p - 1 + 0 = 2*b, 0 = w*b + 4*p - 4. Suppose -3*j - 3*v = -b*v - 1443, -16 = 4*v. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2704 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 2717414712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 5*d + 32. Suppose -3*w = -0 + 6. Let m be w\/(40\/(-212)) + 4\/10. What are the prime factors of l(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**3\/7 + 31196*q**2\/7 - 62380*q\/7 + 31188\/7 = 0.\nAnswer: 1, 7797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/566?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*q**4 - 125*q**2 - 154*q**2 + 2*q**3 + 335*q**2 wrt q.\nAnswer: 696*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*p = 169, 5*l - 330 = 4*p - 45. Let h = 7 + l. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, z: 4, c: 6, l: 2, i: 3}. What is prob of picking 1 z and 1 c?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 786 and 2096.\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 - 2\/3*w**4 + 5*w + 0*w**3 + 0*w**2 - 1\/5*w**5. Factor m(h).\nAnswer: -4*h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*v - 530 = 218*v + 1740 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3179 - -3179.000093192. Round d to 6 dps.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-9 + -21) - (9 + -37) - (-12 + -1).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 + 110*l**2 - 1878*l - 638.\nAnswer: 2*(l - 11)*(l + 29)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 154.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 8a76c?\nAnswer: -8a777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -5)*(15\/9)\/(150\/140)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1, 343.2 in increasing order.\nAnswer: -1, -3\/4, 343.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2 - 2*t + 12. Give a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9605 + -9545. Calculate the remainder when 774 is divided by k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -21*v - 3*v**4 - 54*v - v**5 + 12*v**2 + 21*v**3 + v**3 + 3*v = 0.\nAnswer: -6, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrenrrrrarn. What is prob of sequence eanr?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30051 and 68688.\nAnswer: 480816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.804663 millimeters?\nAnswer: 5804663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9882400 and 12353.\nAnswer: 9882400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203048 - -371678. Round a to the nearest 1000.\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1001b7 + -4?\nAnswer: 1001b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18330383*k**2*n + 2*k*n - 337074*n - 334 wrt k?\nAnswer: 36660766*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 + 4*w**2 + 207*w + 4. Let n(p) = -29*p - 1. Let c(d) = -7*n(d) - o(d). Let i(v) = -4*v**3 - 3*v**2 - 4*v + 2. Calculate 3*c(q) - 4*i(q).\nAnswer: q**3 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 + -107. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 10) to base 11.\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/8 + (-10)\/1280*-16. Put 2, 5, 1, j in descending order.\nAnswer: 5, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 6292.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1308, 2306, 2816, 2658, 1652, -382, -3624?\nAnswer: -8254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*h*j**2 + g*h - 2*g*j**2*k + 10*g + 366*h*j**2 + 2*h*j*k - 6*j wrt j?\nAnswer: 2*g*h - 4*g*k + 732*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-576)\/(-56) + 2\/(-7). Let h(r) = 19*r + 2. Let t be h(a). Calculate the greatest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s**3 + 0*s + 0 + 11\/48*s**4 + 27*s**2 + 1\/120*s**5. Factor t(m).\nAnswer: m*(m + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 0, -1\/4, -5, -1, 0.3 in increasing order.\nAnswer: -5, -1, -1\/4, 0, 0.3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + k - 4 = 0, -5*h = -0*k - 3*k + 4. Let p(o) = 4*o**2 + 5*o. Let i(f) = f**2 + f. What is h*p(m) - 5*i(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + 6 + -5 + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 + 3 = x, x - 3*k - 12 = 0. Let l = 5 + x. Solve i - l = -2*c - 3*c, -5*c = 3*i - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/11 + 5414*u\/11 - 10836\/11 = 0 for u.\nAnswer: -2709, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*d - 7505 = -2088*d - 374833 - 96784 for d.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 22*u**2 + 21*u - 109. Calculate x(-23).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53953*o*p**2 - 550*o*p*s - 33*p**2*s + 4*p**2 - 2*p*s + 51*s + 678 with respect to o.\nAnswer: 53953*p**2 - 550*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 19, -92, -5, 3539?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50316, -100623, -150918, -201201, -251472, -301731, -351978?\n\"Answer: 6*w**2 - 50325*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 88, 189, 320, 475, 648?\n\"Answer: -m**3 + 24*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 13) in base 3?\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16443217 times -0.2\nAnswer: -3288643.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + 250. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31650 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9778397 weeks to days.\nAnswer: 6.8448779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -0.34. Which is the nearest to r? (a) -3 (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7685 + 2*b + 6*b**4 + 7683 + 4*b**4 + 8*b**2 to the form i + n*b**2 + t*b + u*b**3 + q*b**4 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/(((-124)\/(-7440))\/(1\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13 + 2213*l - 14.\nAnswer: 2213*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 8, 0.02, -4, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 1. Let u(s) = s**2 - 5. Let z(n) = -3*a(n) + u(n). Let x be 4\/(-18) + ((-725)\/45)\/(-5). What is z(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24247467.\nAnswer: 3, 757, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.25, -0.035?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 9760 = 40*a. Calculate the remainder when a is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864 divided by 27.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 1. Let h be c(-1). Suppose 3*m - m + 4 = h, -3*p + 4*m = -71. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7839.04+-0.546131\nAnswer: -7839.586131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*x + 18, 4*z = 3*z - 2*x - 9. Let o be 6\/z + (-2)\/(-3). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 116. Calculate the remainder when g is divided by -17 + (-67)\/(-4) - (-165)\/4.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 4, -7, -11, 179, 3, 2 in increasing order.\nAnswer: -30, -11, -7, 2, 3, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 0*w. Let x = 5 + w. Solve 0 = -x*l - 3 - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-6) + (-702)\/(-81). Solve 19*s - 16*s + j = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:42 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158734 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/5, -4, -2\/377967?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(250)*2 + sqrt(187)\/(sqrt(704) + sqrt(704) + (sqrt(704) - sqrt(704)*-1) + sqrt(704) - sqrt(704)))*6.\nAnswer: 207*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 202900957?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = 0, n + 0*z - 2*z = 0. What is the closest to 2\/7 in n, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = s - 131, -s - 5*v = -9*v - 132. Let y = -22 - -54. Calculate the greatest common factor of y and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.6 + 6.59. Let r = -4.68 - z. What is r rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5483971*z**5 + 3401577*z?\nAnswer: 109679420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 113*x. Let l(p) = 2*p - 71. Determine y(l(t)).\nAnswer: 226*t - 8023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12)**(4\/37)\/(r\/(r*r*r\/r**1)*r*(r*(r\/(r*r**(3\/4)))\/r*r*r*r)\/r) assuming r is positive.\nAnswer: r**(7\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/32, -5, -15.129, -0.4 in descending order.\nAnswer: -1\/32, -0.4, -5, -15.129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 1 - 1)*(3*i**2 - 3*i**2 - 2*i**2) + (i + 3*i - 3*i)*(-136 + 302 + 339)*(0*i**2 - 3*i**2 + 4*i**2) as u + k*i**2 + p*i + a*i**3 and give a.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006 and 861639?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:00 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697.047*-0.486.\nAnswer: 338.764842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**4 - 20*y**3 + 24*y**2 + 4*y + 14. Let q = -97 - -98. Let h(t) = -t**3 + t**2 + t + 1. Let b(m) = q*i(m) - 12*h(m). Find d, given that b(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-3 - 17) + (-66)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 5*z**6\/96 - 17*z**5\/12 + 1085*z**4\/96 + 245*z**3\/12 + 716*z**2. Factor l(m).\nAnswer: 5*(m - 7)**2*(5*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 13*o**2 + 3*o + 20. Let c be x(-14). Calculate the greatest common factor of c and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -261*g**4\/4 - g**3\/3 + 167*g**2 - 98. What is the third derivative of v(r) wrt r?\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*q**3 + 379*q + 12711*q**3 - 379*q.\nAnswer: 14534*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 56\/10) + 1920490\/275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 8*l - 13. Suppose 0 = -4*u + 2*g + 82, -3*g = -u + 4*u - 57. Suppose 18 = x + 3*b - 4, -5*b - u = -4*x. What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249211461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 + 264006. Let r be x(0). Let m be r + 3\/(4 - 3) + -3. Suppose -2*f - 5*a - m = -3*a, f = -4*a - 132012. Round f to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -9 - 6517\/(-665). Let k = -23 - -33. Let i = -9.8 + k. Do i and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46597184 or 2\/7?\nAnswer: 46597184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111*d**5 - 1881*d**4 + 102*d**3.\nAnswer: -3*d**3*(d + 17)*(37*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24142 + -2?\nAnswer: -24144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((14*z - 19*z + 24*z)*(3*z + z - 5*z) - 3 + 3 + 2*z**2)*((0 + 2 + 1)*(1 - 1 - 2*z) - 3*z + z - z) in the form g*z + n*z**3 + s*z**2 + i and give n.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:38 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -326 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (4 - -2) + 39. Let o be (-4)\/10 + t\/5. Suppose -3*c = -0*c. Solve 0 = 4*n - c*n + o, -2*n + 2 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -1)*3\/(-4). Let s be (3 - l)*(-2)\/4. Suppose x + 4*b + 9 = s, 3*b - 5*b = 6. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95864, 191684, 287542, 383456, 479444, 575524, 671714, 768032?\nAnswer: 864496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1 + 0 + 7 + 5*l. Let p(f) = -3*f + 6. Let m(k) = k - 3. Let s(y) = -7*m(y) - 3*p(y). Let q be (-15)\/6 + 2\/(-4). Give q*b(g) + 8*s(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 13876740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17646, 35022, 52414, 69828, 87270, 104746, 122262?\n\"Answer: m**3 + 2*m**2 + 17363*m + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76)*1*5 + sqrt(76))))\/(sqrt(108)\/sqrt(3)) - 6*(sqrt(304) + sqrt(304)*1*-2)**2.\nAnswer: -1824 - 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/24*228\/(-9) + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6388*f**2 - 4409*f + 38455863 wrt f.\nAnswer: -12776*f - 4409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83573, -167160, -250747, -334334, -417921, -501508?\nAnswer: -585095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 - 220 + 15*x as q + w*x and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121289 (base 10) in base 7?\nAnswer: 1013420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-21)*(-1210)\/(-660)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 6. Let y be 5*2\/(4 + -2). Let t = y - -2. List the prime factors of p(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1344, -53, 0.4, -2 in ascending order.\nAnswer: -1344, -53, -3, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 + 4*h - 2. Let s = 8386 - 8392. Let m(c) = 14*c**2 - 11*c + 6. What is s*m(k) - 17*g(k)?\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let q(y) be the second derivative of 0*y**3 + 22 + 37\/3*y**4 + 0*y**2 - 2*y. Determine q(b(w)).\nAnswer: 148*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 13. Let q(c) = -c + 25. Suppose -10 = 2*a - 4*z, -32 = 4*a - 2*z - 2*z. Let r(m) = a*u(m) - 6*q(m). Differentiate r(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 + 3 = 0. Let g(a) = -a**3 + 3*a**2 - 3*a - 3. Let p(v) = -4*v - 11 - 4*v**3 - 9*v + 2*v + 11*v**2. What is x*g(w) + 6*p(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, j: 2}. What is prob of sequence oj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from nmepepmemneemnmnan.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*p - 16 = 0, -18*p + 16*p + 29 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 438286966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplllpwplwppplmp. Give prob of picking 2 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 2 - 10*a - 4 + 2*a**2 - 12*a**3 + 13*a**3. Let i be k(6). Suppose 27*y - i = 25*y. Calculate the remainder when y is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25824 is divided by 25811.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4 + 10 = 0, -3*z - 14 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7467285 by 4137.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 61 (b) 2\/7 (c) -374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 559 + -12855\/23. Let d be (-9 - -13)*(1 - 0). Let f be 0\/d - 0 - -3. Which is the biggest value? (a) -4 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133071 - -6?\nAnswer: -133069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3860 + -2)*(-2)\/(4 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 20) + 23 + (52 - (-4 + 12))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -15. Let d = 27 - l. Suppose -6*a = -a - d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 5*j**2 + 7. What is h(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 114 = 2*w. Suppose -5*g + 75 = -5*n, -w = -5*g + n + 7. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 5. Let i be f(-7). Let x be 4\/6*(1 - 7). Let n = 0 - x. Calculate the highest common factor of n and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114)*-1 - sqrt(114))*-1)\/(sqrt(1350) - sqrt(54)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3899353746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -961*n. Let b(h) = h. Calculate b(k(r)).\nAnswer: -961*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62704 by 8557.\nAnswer: -62704\/8557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2.25, -0.7, -11?\nAnswer: -2.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(192) + (sqrt(192) + -1 - sqrt(192)) + 3)**2 - -2*(sqrt(108) + sqrt(108) + 2*sqrt(108) + sqrt(108))**2))*3.\nAnswer: 96*sqrt(3) + 16791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 1934\/109?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*x**4 + 0)*(3 - 2*x - 3) + (288*x - 288*x + 16*x**2)*(2*x**3 + 2*x**3 - 6*x**3).\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(42\/(-70)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674468032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386, 704, 1012, 1304, 1574?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 1196 = 0. What is the remainder when b is divided by 5*(-7 - 17\/(-1))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 60*q + 45. Let c be i(19). Suppose -f = -4*f + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293058 - -0.5?\nAnswer: -293057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031044589 to the power of 1\/2, to the nearest integer?\nAnswer: 55055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 8*w**2 - 6*w**2 as z*w**2 + h*w + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-5\/7)*z**16 assuming z is positive.\nAnswer: z**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -8*f + 15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:15 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:59 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 6 - 57 = 0. Solve 26*u = 31*u - 2*v + 4, -18 = c*u + 4*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26991975?\nAnswer: 3, 5, 487, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827.294 millilitres in litres?\nAnswer: 9.827294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 37*z**6\/120 + z**5\/30 - z**4\/24 + 20*z**2. Suppose 2*j - 5 + 3 = 0. List the prime factors of y(j).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p*q**2*r + 5*p*r + p + q**2*r + 5*q - 24*r wrt q?\nAnswer: 8*p*q*r + 2*q*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from zbbzzbglbbggz?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872\/40 - (-63 - -110)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51901313.1 rounded to the nearest 100000?\nAnswer: 51900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/623175 and 19\/22590.\nAnswer: 938501550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4921228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8302972209 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -797 - -764.9. Let b = s - -30. What is b rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -268? (a) 3 (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*y**5\/4 + 5994*y**4 - 7560*y**3 + 7233*y**2\/2 - 3081*y\/4 + 123\/2 = 0 for y.\nAnswer: 2\/7, 1\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 2*n**3 - 3*n**3)*(-3*n**2 + 0 + 0) + (16 + 30 + 5)*(5*n**5 + 0*n**5 - 4*n**5) + (-4*n**4 + n**4 + 5*n**4)*(4*n + n - 4*n).\nAnswer: 47*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 + 166 + 36)*(4*a - 7*a + a).\nAnswer: -724*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) 0.01 (b) 0.2 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q. Let f = 23 + -19. Let r(v) = f*v**2 + 10*v**2 - 12*v**2. Determine p(r(a)).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b = 73*b - 6445. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 23. Let z(u) = -u. Let a be z(-2). Suppose a*r - 40 = -10. Let k be c(r). What is the greatest common divisor of k and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2099\nAnswer: -2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p - 3*p - 5 + 9*p - 19*p to the form q*p + l and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1205.306 + -1144.3. Let j = -0.006 + a. Let n = j + -57. What is the second biggest value in n, 2.6, 0.2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35332 (base 6) to base 15\nAnswer: 179b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797502 is divided by 61342.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 1. Let l(w) = -w**2 - 2*w + 4. Let z be l(-3). Let r be c(z). Let m be 3\/(-9) - r\/(-3). What is the second smallest value in 4, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/10 + (-1)\/(-2). Let v be 20\/n + (-12)\/(-18). Suppose 0*w + w = v. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/20 - i**4\/4 + 5*i**3\/3 - i**2\/2 + 2*i. Let u be r(-5). What is the nearest to 2\/5 in 1\/2, -2\/5, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c - 11. Let w be j(-8). Let o be (w + -4)*8\/4. Solve o*v - 4*k = -12, -5*v = -2*v + 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 796, 843, 948, 1135, 1428, 1851?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 2:03 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 372*d - 11. What is the tens digit of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 22*u - 10. Let x be j(21). Suppose 0 = k - x*k + 380. Calculate the remainder when 148 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l\/(l\/l**3)))\/(l**(1\/2))**(-3\/4)*((l\/l**5)\/l**2)\/(l**1)**(-30) assuming l is positive.\nAnswer: l**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5 = -4*d, -2*i + 2 = -0*d + 2*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4904 = 4*i + 6*z + 4798, -94*z = -5*i - 91*z - 46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -943228 (base 16) in base 10?\nAnswer: -9712168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3257104*y**3 - 2133*y**2 - 5*y.\nAnswer: -19542624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s + 14*s = 196 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from fcsuscssyyuyuusu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4458515.3 to the nearest 1000.\nAnswer: -4459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 - 68*s - 106. Give m(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 4, e: 1, j: 2, s: 1}. Give prob of sequence sx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*u + 643*u + 2*u**3 - 130*u + 269*u + 270*u.\nAnswer: 2*u**3 + 1273*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != 46216.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123811417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2947392 and 93\/238?\nAnswer: 2947392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*p = -7, -2*w + 2*p + 19 = -3*p. Let z be -2*2\/(-4)*1. Let s be 0\/(-2 - z - -1). Solve 0 = -3*f + y + 5, s*f = w*f - 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y - 1\/12*y**4 + 0 + 1\/6*y**3 + 16*y**2 + 1\/5*y**5. Let n be (2\/(-3))\/((-4)\/6). Give t(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j + 1. Let w be o(8). Let q(f) = -13*f + 11. Let k be q(w). Suppose 3*b - k + 5 = 0. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 23221.452 to the nearest 10.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246803.\nAnswer: 3, 67, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15 + (-4 - (-25590 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 3 - 66*b**3 + 8336*b**2 - 4165*b**2 - 4171*b**2 as z + q*b + y*b**3 + n*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2714689*f**3 - 4059684*f**2?\nAnswer: -16288134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -1.6. Let i = 84.56 - 86. Let y = i + 1.4. Which is the smallest value? (a) y (b) -4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 383912.2 to the nearest one thousand.\nAnswer: 384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 21*x + 24. Calculate k(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.991 + 0.209. Let n = 23.4 - h. Which is the third biggest value? (a) n (b) 1 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 26 + (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21193, 42384, 63573, 84760, 105945, 127128, 148309?\nAnswer: 169488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - r**3)*(4*r**2 - 3*r**2 + 6*r**2) + (-3*r + r + r**4 + 0*r)*(3*r - 2*r - 3*r).\nAnswer: 12*r**5 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*x**2 + 207*x**2 - 88*x**2 - 188*x**2 in the form k*x + f*x**2 + m and give f.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 13, -2, -4, 2\/7, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0815 - -0.0115. Which is the second smallest value? (a) -1 (b) h (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w - 75. Solve -11 = -2*v + 3*z, -2*v - 4*z - w - 9 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigpbsu. Give prob of sequence gpu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(d - 129*d**2 + 29*d**2 - 2 - 2*d).\nAnswer: 200*d**3 + 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -252143 (base 6) to base 7\nAnswer: -122451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.35 (c) -3602 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 3967897?\nAnswer: 666606696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 304*s - 3238. Let n be c(10). Let i = 4 + -6. Sort i, 6, n in increasing order.\nAnswer: i, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((4\/24)\/((-7)\/21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2 (c) -0.4 (d) -10438 (e) 0.007\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4773 - 4729 + t + 83*t**2 + 9502.\nAnswer: 83*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppoppppppppoppppp. What is prob of sequence poop?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -0.04905?\nAnswer: -0.05886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(1296)*5)\/(2*sqrt(240)\/sqrt(5)).\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-64)*2*3\/(6*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 + 3*c - 6. Suppose 3*l + 1848 = 11*l. Let j(g) = l*g - 121*g + 2*g**2 - 108*g - 5. What is 4*j(o) - 3*k(o)?\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(500) + sqrt(500))**2*-6.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(684) + 4*(-1 + sqrt(19)) + (-5 + (5*sqrt(19))**2 - sqrt(190)\/(sqrt(10) - sqrt(810))).\nAnswer: 177*sqrt(19)\/8 + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 22, 185, 532, 1123?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, e: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317 or 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-24))\/(6\/304). Suppose 24*h = 22*h. Suppose h = 81*l - y*l - 485. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6304.6 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 498 - 522.3. Let k = w - -24.3238. Round k to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 - -4441\/16. Let b = n + -5\/16. What is the nearest to 0.2 in 0.4, 12, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 1 - 1 + (0 + 0 + 1)*((4*t + 0*t - 2*t)*(-1 + 4 - 5) + 0*t - 2*t - 8*t + 8*t - 22*t + 16*t + 126) in the form d + n*t and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w + 4*w)*(-3 - 7 + 5 + 3 - 3 + 2 + (4 - 1 - 1)*(2 - 4 + 3) - 1 + 2 + 1) + 2*w - 3*w + 0*w + (-3 - 3 + 5)*(2 - 2 + w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 63140*q**2 + 505348*q - 442204.\nAnswer: -4*(q - 7)*(q - 1)*(q + 15793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*v + 3*v. Suppose -5*w + v = -4*m, 7*m + 22 = 2*w + 3*m. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10351*g - 266 = -10313*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*z - 2386*z + z**3 + 1191*z - 3*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.4. Let i = 0.03 - 3.03. Let j = 0.13 + 0.07. Put j, g, i in descending order.\nAnswer: j, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 289048 - 1440?\nAnswer: 287608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f**2 - 2*f)*(-2*f + 1 - 1) + 2*f**3 - f**3 + 2*f**3 + 53 - 53 + f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6583 (base 12) to base 2\nAnswer: 10101110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:35 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21248 and 170560352?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3185, 1, 13\/4, 0.19 in increasing order.\nAnswer: 0.19, 1, 13\/4, 3185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v + 10. Let t be (-6)\/(-1) + -2 + 4. Let a be s(t). Suppose -5*o = 3*q - 0*q, -4*q = -4*o. Solve 5*h = -a*l - 5, q = l + 4 + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let t(k) be the first derivative of 5*k**2 - 347. Calculate t(b(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty sevenths of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -1319\nAnswer: -44\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377862228 by 261.\nAnswer: -1447748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -14*p + 48*p**2 + 54*p**2 - 118*p**2 - 2*p**3 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3\/7 - 87438*p**2\/7 + 1311003*p\/7 - 3146148\/7 = 0?\nAnswer: 3, 12, 29131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -103. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(270)*1)\/((sqrt(90)*-2 - sqrt(90))\/sqrt(9) + sqrt(10) + sqrt(10)))\/(5*(sqrt(63)\/(sqrt(28) + sqrt(7)) + sqrt(9) - sqrt(63)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0)*4615\/(-235365)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7945, -31785, -71519, -127147, -198669?\n\"Answer: -7947*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 19*t**6\/120 - 7*t**5\/60 - 7*t**4\/24 - 11*t**3\/6 + 49*t**2. Let j(f) = 10*f**3 - 4*f**2 - 4*f - 6. Give 7*j(v) - 4*k(v).\nAnswer: -6*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38311 or -38355?\nAnswer: -38311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 5*l, 4*u = -5*l - 0 - 4. Let i be 400\/(u*1\/32000). What is i rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b - 6*b - 4*w, -3*b - 14 = -w. Suppose 23*n = 26*n - 15. Put 16, b, n, -3 in descending order.\nAnswer: 16, n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -76. Which is smaller: 1\/1559 or z?\nAnswer: 1\/1559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, f: 1}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 5\/4 (d) -4 (e) 0.1715 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 402 and 1206.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2043884 divided by 1\nAnswer: -2043884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from iinuikiukvnlini.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3246238958 to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.00466*1.7\nAnswer: 0.007922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -108482 divided by 22\nAnswer: -4931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzddzzzzzzz. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/60 + q**5\/60 - q**2 - 2*q. Let v(p) be the first derivative of m(p). What is the third derivative of v(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75510.38 millilitres?\nAnswer: 75.51038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*d - 2046 = 62*d. What is the remainder when d is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let d(f) = 27*f. Give t(d(p)).\nAnswer: -1458*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 + m - 2. Let n = 9 - 9. Suppose -3*o - 9 = -n. What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 7 + 33 - 7*r**2 in the form j*r**2 + u*r + t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) -322 (d) 103 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3006 + -3006.9756. What is c rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -104396063807839?\nAnswer: 104396063807838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 20. Let v be j(-4). Suppose -v*x + 0*p + 4*p + 32 = 0, 4*x - p - 32 = 0. Solve y - g + x = 0, 4*y + 21 + 2 = g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 10*n + q - 96489, -3*n = -q - 72372. List the prime factors of n.\nAnswer: 3, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5\/f)\/f)\/f**0*f\/(f\/(f*f**(1\/5)))*f**(1\/4))\/(f\/f**(-4)*f**(-7))**(-49) assuming f is positive.\nAnswer: f**(-1871\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 771 - 1269 = 0. Is 10 a factor of (3*-43 - 0)*u\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Let h be 8\/d - 1\/(-3). Let g = 0.301 + -0.001. Which is the biggest value? (a) g (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 5, v: 4, o: 1, r: 7, l: 2}. Give prob of picking 2 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let h(t) = 40998*t - 2. Give h(x(d)).\nAnswer: -81996*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6150928*s**4 - 10341145 wrt s?\nAnswer: 24603712*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let i(n) = 714121*n**2. Determine r(i(p)).\nAnswer: 509968802641*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 581821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 7. Let f be s(4). Let o be f - (1 - 3) - -13. Suppose 686 = -19*g + 26*g. Calculate the highest common divisor of o and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255441680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 94 + 183 - 87.\nAnswer: 25*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(((f*f**(-1)\/f)\/f)\/f))*f)\/f)\/f**(2\/11)*(f*f**(-7))\/(f**(-1\/5)\/f) assuming f is positive.\nAnswer: f**(-439\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30331708.74 + 79.\nAnswer: 30331787.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from aooaaaaaaoooooooaaoo?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7130*u*x + 671*u - 163139849*x wrt u?\nAnswer: -7130*x + 671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 62*w - 16. Let k be d(5). Let x = k + -159. What is x rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 16, 14, 12, 10, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23180 and 1830?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26676643 + -2?\nAnswer: -26676645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 57*c**2 - 1. Let x be a(1). Let f be (-3 + 4\/4)*(1 - 2). Solve -x*r**5 + 16*r**3 + 4*r**3 - 3*r**4 + 60*r**5 - 13*r**4 - 8*r**f = 0 for r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2496))\/((sqrt(147)*-2 - sqrt(147)) + sqrt(3)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13309, 22079, 30849, 39619?\nAnswer: 48389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -1\/2*m**2 + 1\/3*m**3 + 1 - 5*m. Determine z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4477831 by 47.\nAnswer: 95273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60\/24*(-87048)\/(-65).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -17*d + 8. Let h = -18 - -11. Let y(m) = 17*m - 7. Let j(w) = h*y(w) - 6*i(w). Does 18 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36616)\/(-160195) - 1\/(-1 + (-12)\/3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -2 (c) -5 (d) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/720 - m**5\/30 - 19*m**4\/4 - m**3\/3 + 10*m - 8. Let g(r) be the third derivative of i(r). Calculate g(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-63) - 560\/(-9) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 8. Let v be x(6). Suppose 2*m = 5*p + 190, m = v*m - 4*p - 278. Suppose 6*l = l + m. What is the highest common divisor of l and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 62, -2, 3189 in increasing order.\nAnswer: -2, 4, 62, 3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.877 + -36.777. Let h be ((-6)\/9)\/(20\/(-12)). What is the nearest to 1\/2 in 4, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-112) - 39\/104.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 18. What is the second biggest value in 4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c + 43. What is o(-9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/28*20*(-2849)\/(-8 + -3). Calculate the highest common divisor of 620 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 0, 14, 5, 38 in increasing order.\nAnswer: -5, -4, -2, 0, 5, 14, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2, -5*d + f - 14 = -0. Is (-34)\/(-51) + (-17185)\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j**3 - 2*j + 1. Let o be c(1). Let n = -23 - o. Let a be 3*n\/(21\/(-2)). Let l(x) = -x**2 - 3*x - 2. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1599*z + 271824. Calculate g(-170).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a9 + 158a3?\nAnswer: 16aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/12 - c**3\/6 + 2*c**2 + 3*c + 10. Let k(t) be the first derivative of f(t). Determine k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/6, 1700 in decreasing order.\nAnswer: 1700, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 4*m**2 - m**4 + 5*m**2 + m**4 - 2*m**4 in the form z + f*m**2 + v*m**4 + g*m + a*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 462332000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/3 - 39670*r**3\/3 + 87370896*r**2 - 575769732224*r\/3 - 7529390775296\/3.\nAnswer: 2*(r - 6616)**3*(r + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -1525037.\nAnswer: -20\/1525037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74075.12274 from 0.\nAnswer: -74075.12274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*-1)\/((-79)\/948)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26567 and 310.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 45 - 5*y**2)*(-2 - 16 - 6).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 15.3. Let f = 2.2 + z. What is f rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (-3*2*sqrt(117) - sqrt(117)))\/(-1*sqrt(54)\/sqrt(6))*5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -1\/5*i**3 + 3\/20*i**4 - 1\/10*i**6 + 0*i + 3\/25*i**5 + 9 + 0*i**2. Solve j(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722972180?\nAnswer: 2, 5, 7, 5164087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + -156. Suppose 35*c - w = 33*c. Factor 0 + 1\/4*q**4 + 0*q**c + 0*q - 1\/4*q**2.\nAnswer: q**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -210, -4, -51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3641\/10 + 1776\/5. What is the common denominator of i and (-43)\/2*(-1)\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a\/a**(-5\/6)))))\/a)**(-10) assuming a is positive.\nAnswer: a**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**8\/3360 + 13*l**7\/1050 + 47*l**6\/300 + 7*l**5\/15 + 1114*l**2 + 2. What is k in b(k) = 0?\nAnswer: -14, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3820011038.\nAnswer: 2, 43, 461, 96353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 208*t + 636. Let h be r(3). Solve 17 = -w - 4*b, -w - 4*b + h = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(119))\/(sqrt(7) + 6*(sqrt(7) - (sqrt(28) + sqrt(7)))))**2.\nAnswer: 1700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2*o**3 + 1136*k**2*o**2 - 6818*k**2*o + 118*k*o**3 + k*o**2 + 2*k*o + 572777*o**3 - o**2 + 2 wrt o?\nAnswer: 12*k**2 + 708*k + 3436662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 4*y, 2*r + 0*y = -5*y - 30. Let h be (-4)\/(-10) - (-74)\/r. Let z = -5 - h. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.24769, -2, -0.4, 4\/5, -3?\nAnswer: 0.24769","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:08 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {q: 4, n: 1, r: 1, i: 6, g: 2, z: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 13 = -3*q, -3*q = -5*s + 7 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 394, 923, 1696, 2731, 4046, 5659, 7588?\n\"Answer: 3*x**3 + 95*x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4284)\/(-408))\/((-6)\/(-8)) - -63 is divided by (1 - 12)\/(4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -133*j - 11. Let i(v) = 67*v + 5. Determine 13*i(s) + 6*n(s).\nAnswer: 73*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 36. Let s(b) = -2*b - 6. Let k be s(-4). Suppose k*n - 21 = 13. What is the greatest common divisor of n and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 27*h**3 - 27 + 21 - 25*h**3 in the form g + a*h**2 + z*h**3 + o*h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 9*j**2 + 9*j - 6. Let q(s) = -11*s - 98. Let a be q(-8). Give u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24837309.4192208 - -562653.4186308. Let i = -24274770 - z. Let r = -114 - i. Round r to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*v + 2140987 = 15*v - 686786. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -1, -1\/130, 0.5 in increasing order.\nAnswer: -1, -1\/130, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 3, x: 1, l: 3, d: 3}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2679228*a**4*f + 1719*a*f + 1909*a wrt a.\nAnswer: 32150736*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 1. Let q be i(2). Does 23 divide 0 + q - 588\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n - n)*((3 + 2 - 3)*(1 - 1 - n) + 17*n + 29*n + 17*n - n - 2*n + 2*n) to the form t + h*n + l*n**2 and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 17445*y**3 - 29 - 8810*y**3 + 15 - 8636*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4\/12 - 7*y**3\/6 - 15*y**2\/2 - y - 2. Let c(q) be the first derivative of m(q). Is c(9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (79 - 1)*-2. Find the common denominator of 24\/(-56) + (-38)\/s and -1 - (102\/(-8) + -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/4 + (-3)\/((-36)\/861)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 393\/6 - 2\/4. Let o = 142 - l. What is the greatest common factor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 6) to base 11\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -456817*n + 456811. Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = l, 0 = -3*o - 6*l + 7*l - 31. Put -1\/9, 5, o in descending order.\nAnswer: 5, -1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 508, 1143, 2042, 3211?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-6)*((-22)\/440)\/((-3)\/5).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.0117 milliseconds in microseconds?\nAnswer: 176011.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 19335*m + 19324*m - 2*m**4 - 1 - 2*m**2 in the form v*m**3 + y + t*m + a*m**4 + b*m**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1458 divided by 54\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*m - 2*m. Let v be m\/17 - (-57)\/51. Which is the nearest to -2\/5? (a) -3\/5 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffivfvkfvvjviv. Give prob of picking 1 i and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*w + 0 = 5, -k + w = 0. Let l be -1 - 3 - (k + -1). Solve 4*x - 13 = -f + x, -l*f + x - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 60*r - 900.\nAnswer: -(r - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/170 and -60\/119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110985591203 + -1.\nAnswer: 110985591202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + w = -28, 6*w - 4*w = 2*z - 16. Suppose 515 = 10*s - z*s - 5*n, 2*s - 5*n = 206. List the prime factors of s.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(2736) + -1 + (0 + sqrt(2736) + -1 - sqrt(2736))))**2 + (sqrt(209)*2*1)\/(sqrt(11) + (sqrt(11) - sqrt(275)*-5)).\nAnswer: 1298*sqrt(19)\/27 + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 307, 5864, -2 in decreasing order.\nAnswer: 5864, 307, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158815.\nAnswer: 5, 11, 79, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(50))**2*-2) + (sqrt(8)\/sqrt(4))**2*-5 - (5 + sqrt(242)*-2*-3)**2)*3.\nAnswer: -25941 - 1977*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3331 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**5\/12 + 9*y**4\/2 - 317*y**3\/12 + 41*y**2 - 71*y\/3 + 4 = 0 for y.\nAnswer: -12, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*45\/(-4275)*-85?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 42 = -5*w, -3*w - 10 = -4*w + l. Suppose w*p - 276 - 28 = 0. What is the greatest common factor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31188 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5)*5\/(-3). Suppose 2*s - 3*m - 59 = 0, -m + 80 + 31 = 4*s. Let h = s - 25. Which is the second smallest value? (a) i (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 1. Suppose 0 = -s*u + 13 + 22. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258.331ml in litres?\nAnswer: 2.258331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 70*i - 19063. What is p(318)?\nAnswer: 3197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**3)\/u)\/u*u)\/u)**(1\/60) assuming u is positive.\nAnswer: u**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 6801 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 125 - (132 + -47 + -44)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 635?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21\/361 + 1721\/1444. Which is the closest to -13? (a) t (b) -2\/11 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = p - 16, -2*w = -2*p + 2. Suppose 0 = -m - 5, 0*m - 4935 = -4*r + w*m. What are the prime factors of r?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -2\/9 (b) -0.07 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3495, -46297, -162477, -388725, -761731, -1318185, -2094777, -3128197?\nAnswer: -4455135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s - 77*s = -20. Solve -s*c = -3*i - 31, 4*c - 14 = -0*c - 3*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:43 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324794 - 324794 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -31*h - 120. Let t(a) = -30*a - 119. Let l(g) = 2*t(g) - 3*y(g). Differentiate l(z) wrt z.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1639)\/(-30360) + (-102)\/3519?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c9863 (base 16) in base 7?\nAnswer: 45516521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7103 or 8673?\nAnswer: 8673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1\/18, 0.2, -2?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -6. Let l = 4 + b. Let d(w) = 2*w**3 - 19*w**2 - 20*w + 96. Let f be d(10). Sort f, l, -2 in descending order.\nAnswer: l, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) - (sqrt(13) - -4*sqrt(1053))))*6)**2 - (-3 + sqrt(91)\/(4*sqrt(7))).\nAnswer: -sqrt(13)\/4 + 573303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-227)\/208 - (-36)\/234 and ((-5)\/60)\/(10\/(-146)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(78\/468)\/(1\/(-2)). Solve -31*k + 27*k - 18 = -s*i, -14 = -2*i + 2*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2472134 * 5.\nAnswer: 12360670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 625*s**2 - 9*s - 17. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/4 + (-3)\/6. Let f be d\/(-9) + (-6)\/(-27). Let a(m) = m**2 + 5*m - 4. Let w be a(-5). Sort w, f, -3 in descending order.\nAnswer: f, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020110121 (base 3) to base 13.\nAnswer: 170aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2423661 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 14. Let w be t(-14). Let k(i) = w*i - 6 + 2*i - i. Calculate k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2 - 3. Let s = -7 - b. Let o(j) = j**3 + 4*j**2 + j - 2. What is the units digit of o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + 1*sqrt(960))\/((sqrt(50) + (1*sqrt(7200) - sqrt(7200) - sqrt(7200)))\/sqrt(10)).\nAnswer: -10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1605 and -58\/3?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 + -119. Calculate the greatest common divisor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -510*u + 506*u - 169, 0 = 5*u + 20. Suppose -n + 10 = 4*n. Suppose n*p = -p + 78. Calculate the remainder when v is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4850, -9698, -14544, -19382, -24206, -29010?\n\"Answer: g**3 - 5*g**2 - 4840*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1088\/(-308) - -4) + (-6)\/33.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**4*u - 35775132*p**3*u - 2654*p**2*u + 87*u + 37 wrt p?\nAnswer: 96*p*u - 214650792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 38985?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*m - 108*m - 120*m - 3*m**2 - 204*m.\nAnswer: -3*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001 - -1010011010000?\nAnswer: 1010111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = 10, -189 = -3*a + 3*q. Let r = -55 + a. Let g(k) = 10*k + 7. List the prime factors of g(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let s(f) be the second derivative of 0*f**2 + 102*f + 0 + 89\/6*f**3. Calculate u(s(w)).\nAnswer: -15842*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 24, -2*h + 8 = -2*g + 20 + 32 - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 41, 38, 35, 32, 29?\n\"Answer: -3*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591.246 hours in minutes?\nAnswer: 455474.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -131*h + 17169. Give q(139).\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose x*z + 12 = 10. Are z and -3\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38324 = -153*a + 140*a. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/7)*v)\/((v\/v**(2\/13))\/v))\/(v**6\/v**(1\/5)) assuming v is positive.\nAnswer: v**(-1789\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 264437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, h: 3, a: 11}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1524 - -543832?\nAnswer: 542307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 2623413 and -4910.587.\nAnswer: 2618502.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 4, k: 1, i: 1, g: 4}. Give prob of sequence gi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -28*z**2 - 1935*z - 217. Give s(-69).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -25. Suppose -2*r - t = -n*r + 262, 165 = 3*r + 2*t. Let d = r + -38. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from qkqkhggkhgkhkqak?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*f + b, 0 = 14*f - 18*f - 4*b + 28. Let p(a) = 146*a - 270. What is the thousands digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 735 and 744 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 419, 1, -2 in decreasing order.\nAnswer: 419, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3204*r - 3199*r - 68 = -4*f, 0 = -r - 2*f + 10. Solve -3447*t + 3449*t = r for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 8 + (2 - 3 + 2)*(4 + 2 - 4) + (-3 + 2 - 1)*(1 - 4 + 1))*(6 - 1 - 2*d + 5) to the form q*d + a and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -62, -157, -294, -473?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 9490.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 6*s - 24 = 0. Suppose 6*o = -s*o - 4302. Let c = o + 1560. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33293 + -23277. What is the third derivative of -q - 5*q**3 - 4*q**4 - 10016 + d - 2*q**2 wrt q?\nAnswer: -96*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*k + 34, 2*k + 3*t = 5*t - 16. Let v be k\/(-3)*-3 + 15. Suppose v*j - 2*j = 30. What is the smallest common multiple of j and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52004*h*p**3 - 2*h*p**2 - h*p - 50*h - 4*p**3 - 4*p**2 + 10*p + 1218 wrt p.\nAnswer: 312024*h*p - 4*h - 24*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 15*k**2 + 19*k - 72. Let f be o(14). Sort f, 11, -7, -5 in increasing order.\nAnswer: -7, -5, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 + -248. Which is the second biggest value? (a) 12 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1304154 (base 7) to base 14.\nAnswer: -45ad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 383934200 divided by -2405?\nAnswer: -159640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d*n**4*x - 365973*d*n**2 + 6*n**4 - 840*n**3*x - 3*n**2*x - n**2 wrt n.\nAnswer: 168*d*n*x + 144*n - 5040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 4 - 6 + 10.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (-6 - (13 + -2)). Solve 39 = -2*p + v for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*x + 74219 = 3824 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/1)\/(3\/(-12)). Suppose -20 = -t*v + n + 2*n, -4*v + 5*n + 12 = 0. Solve -2*k - v = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-408)\/680\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(13)) + sqrt(13) - sqrt(13) - (sqrt(39)\/sqrt(3) + 1))**2.\nAnswer: 72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/((3 + -4)*-2). Which is the third biggest value? (a) -4\/3 (b) m (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 4, f: 3, e: 3}. What is prob of picking 2 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen twelths of a minute?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132743.\nAnswer: 13, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2690 by 2.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 4*x + 6. Let c be t(2). Which is smaller: 10\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(135\/4)*85\/(-238)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(35)\/sqrt(7)))**2 + 1 + sqrt(32).\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5\/3, 56, -2, -10, -16 in increasing order.\nAnswer: -16, -10, -2, -5\/3, -2\/3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/4 + 411*u**3\/2 - 168097*u**2\/4 - 84666*u - 42436 = 0.\nAnswer: -1, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1444813, 1444880, 1444947, 1445014, 1445081?\nAnswer: 1445148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 53*v + 28. What is k(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/337 and -91\/2022.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let b be g(2). Let m be -1 + (0 + 4)*b. Put 4, 5, m, 0 in ascending order.\nAnswer: 0, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -50. Let r = -60 - -68. Which is the second smallest value? (a) r (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-27) - -4)*(25\/(-14) + 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*z + 2*z. Suppose 2*g + 2*c = 80, -z*c + 212 = 5*g + 13. Suppose 0 = -5*j + 73 - 3. Calculate the remainder when g is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -9.2\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 21 - 60 = 11*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7815068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -u - 2*u + 54, -2*w + 24 = -2*u. Let z = w + -17. Sort z, -4, 1 in ascending order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(4 + -2*sqrt(99)) + (sqrt(99)*2 - sqrt(99))**2*-5 + (sqrt(99) - (sqrt(99) + -1))**2 + -1.\nAnswer: -479 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67435 divided by -13487.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 6 = 0. Suppose -4*t + 21 = 1, -n*t = 4*j - 74. Let l = -402 + 449. What is the remainder when l is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 11*u**2 - 7*u - 7. Let j be x(8). Let h = j + 9. Calculate the least common multiple of 61\/3 - (3 + 24\/(-9)) and h.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4519, -9037, -13555, -18073, -22591, -27109?\n\"Answer: -4518*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10111?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/33, -1.54, -4.2?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 3, i: 2, m: 3, e: 2, y: 3, v: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 60203415*b - 60203412.\nAnswer: -3*(b + 1)*(b + 20067804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 723 - 334)*(-4*a + 0*a + 3*a) + 1 - a - 1 in the form b + n*a and give n.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 9 + 25 + 8*r - 3 - 6.\nAnswer: 8*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 5. Let j(q) = 5*q - 5. Let z(l) = -3*j(l) - 4*s(l). Let d be z(3). Which is the third biggest value? (a) d (b) 0 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, a: 9}. Give prob of sequence wwww.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0*q + 13*q**2 - 2*q**3 + 0*q. Let b(x) = 90*x**3 + 98*x**3 - 187*x**3 + 13*x**2 - 19*x**2. Calculate 13*b(k) + 6*i(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x + 565 - x**2 - 48*x - 2*x**2 - 287 - 279 + x**3 in the form i*x**3 + j*x**2 + a + q*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38242 - 1?\nAnswer: -38243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-2))\/(11 + (-189)\/18). What is the nearest to 2\/5 in -8, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6028382?\nAnswer: 6028382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 10*b + 2. Let j(a) = 9*a**2 - 83*a + 20. Let p(w) = -j(w) + 6*r(w). What is p(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -2010243?\nAnswer: -2010205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 7, t: 9}. Give prob of picking 1 u, 1 v, and 1 t.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose 3*j = j - 2*p, 7 = 3*j - 4*p. Calculate the highest common factor of s and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + (3 - 2). Let v(m) = m. Let q(z) be the first derivative of z**2\/2 - 2. Let h(i) = w*q(i) + 2*v(i). Let f(g) = g**2. What is f(h(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 9. Give c(18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*n + 181 wrt n?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - u = 34, 3*u - 31 = -2*a - 2*a. Let w = 6 + a. Suppose -566 = -4*k + 2*b, 2*b + 3*b = -k + 158. What is the greatest common factor of k and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -72, -196, -320, -444, -568?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -149, -181, -177, -125, -13, 171?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-3\/7)\/g))\/g**(1\/6))\/(((g\/(g*g**4\/g*g*g))\/g)\/g*g*g**(2\/11)*g)*(g**(-1\/4)*g*g)**(-1\/34)*g**(-3\/5)\/(g\/(g\/g**(-1))) assuming g is positive.\nAnswer: g**(1166887\/157080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*w**4 - 213002*w**3 + 2*w**2 - 1439471*w + 4.\nAnswer: -192*w - 1278012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + 136\/(-13).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109494 - 2*w**3 - 54746 - 54760.\nAnswer: -2*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 2*g - g + 3*g - 2*g. Let f(p) be the third derivative of 1\/30*p**5 + 0*p + 3*p**2 + 0*p**3 + 0*p**4 + 0. Calculate f(u(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(300) - (-4 + -3*sqrt(300))) + ((sqrt(300) - (sqrt(300) + 2)) + -1)*-2))**2.\nAnswer: -2560*sqrt(3) + 76864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-6)*96\/64. Solve -4*j = -k - p, 0*k = -k + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031032 + -1?\nAnswer: -1031033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 85 + 88 - 173. Let v be k(1). Suppose 6*f**3 - 4*f**2 + 9*f**3 - 4*f**v - 7*f**3 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 103 = -25*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = -m, 3*m = 27*s - 31*s + 13. Find the common denominator of (0 - -3)\/27*m and 41\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/144)\/((-1)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13196 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8)*-2)\/((-8)\/112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 11.8. Let q = 22 + c. Let k(v) = -v**2 - 2*v + 4. Let o be k(-3). Which is bigger: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 11) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 13 = -5*s, -s = -3. Let a be (-1 - g) + -5 - -1. What is the third smallest value in 0, a, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 25*n**2 - n + 37. Let t be x(25). Let p be 3*t\/18 + 0. Suppose -j = -0*j - 17. Solve j - p = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10130 (base 4) to base 5.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**4 + 1910*i**3 - 8530*i**2 - 9900*i + 576 = 0. Calculate i.\nAnswer: -1, 1\/18, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/60 + p**4\/4 - p**3 - 4*p**2. Calculate o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65567857 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**2 - 424*u - 571. Determine m(-41).\nAnswer: 1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - -212. Let j(z) = -2*z**2 - 1 + 0*z**3 + 2*z**3 + 2*z + 0*z**2 - z**3. Let m be j(2). Sort n, 5, m in increasing order.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 125*p**2 - 1. Let s be l(1). Suppose 0 = 4*c - 3*c - s. Let r = -376 - c. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*50\/15)\/(-2). Is 13\/(((-15)\/(-21))\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-4\/3)\/w*w*w))\/w**9)\/(w*w\/(w*w\/w**(1\/4))*w**(4\/9)))**(-1\/12) assuming w is positive.\nAnswer: w**(301\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 48, -8 in decreasing order.\nAnswer: 48, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - (-31 - (4 - 19))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 386385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195213 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 + s - 12. What is q(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.19, -1\/124 in decreasing order.\nAnswer: -1\/124, -0.19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) -2 (b) -5 (c) -3\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30675273 and 71575637?\nAnswer: 214726911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 782 = -6*f + 3*f, -5*j - 272 = -f. Suppose 2*q - f = -3*p - 83, -4*p + 97 = q. Suppose q = -6*r + 11*r. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-245) + (-4)\/(-10). Let d = -0.06 - 1.94. Sort u, 0, d in descending order.\nAnswer: u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 2*p**2 + 2*p**2 + (5*p**2 - 3*p**2 + 0*p**2)*(-p**3 + 4*p**3 + 2*p**3).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1783013?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3252, -12651, -28278, -50103, -78096, -112227?\n\"Answer: 5*s**3 - 3144*s**2 - 2*s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.61*-0.498733.\nAnswer: -1.30169313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -576580 (base 9) to base 3\nAnswer: -122120122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-3 + (sqrt(700) + sqrt(700) + ((sqrt(700) + -2)**2 - sqrt(700)) + 3 + sqrt(700) - ((sqrt(700) + -2*sqrt(700))**2*-2 - sqrt(700))))*-5.\nAnswer: -63120 + 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-7))\/c**(-4))**37*(c\/(c**(-2\/5)\/c)*c*c**2*c)**7 assuming c is positive.\nAnswer: c**(2629\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 2*a**2 - 28*a - 4. Let u be v(-6). Solve 5*k + 0 = u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**4 + 45*n - 45*n + 15*n**4 - 2*n**2 wrt n?\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380116133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(42\/98*(-1)\/(-54)*9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/(o*o*o**(1\/3)*o))\/o))**47\/((o*o*(o\/o**(2\/5))\/o)\/o)**(7\/5))**(-2\/23))**(-40) assuming o is positive.\nAnswer: o**(243392\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 48 = -4*u, 0 = -g - 2 - 2. Factor 10 - 21 + 12*w**3 - 20*w**2 - u*w + 27.\nAnswer: 4*(w - 2)*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*i - 387*i + 789*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 24 = -4*q. Let b be (6\/4)\/(q\/16). Let m(r) = 5*r**2 - 2*r + 2. Let t(k) = -66*k**2 + 27*k - 27. Give b*t(z) + 27*m(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2521422209 to the nearest integer?\nAnswer: 50214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -440*b**3 + 2*b**2 + 218*b - 5. Let y(d) = d - 1. Let v(k) = r(k) - 5*y(k). What is the third derivative of v(x) wrt x?\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/5? (a) 7 (b) 5 (c) -0.04 (d) -195940\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p - 3*p + 0)*(-5 - 2 + 5) - 6*p + 5*p + 3*p.\nAnswer: 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 - 191*y + 493. Determine k(26).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m + 93 = 3*o, -4*o + 96 = 3*m. Let b = 41 - o. What is the smallest common multiple of 2 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v + 23*v + 1 - 27*v + 0 - 12*v**2.\nAnswer: -12*v**2 + 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 16468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 128 = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 1079*u\/5 - 13858\/5.\nAnswer: -(u - 1066)*(u - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 + 1100. List the prime factors of r.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 4 + 4)*(3*x + 3*x - 5*x + (0 + 0 + 2*x)*(2 - 2 - 2) - 7*x + 2*x + 2*x - 2013 + 2013 + 713*x).\nAnswer: -1414*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 36 = -6*s, 3287 = 7*h + s + 3264 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.91 - 0.09. What is the fourth biggest value in m, -1\/3, 3, -0.04?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -614*l**2 - 2*l. Let g(z) = 3*z. What is g(x(p))?\nAnswer: -1842*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 20. Let k = h - 70.000037. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28344 is divided by 708.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. Suppose -3*l + 24 = 3*d - s*d, 4*d - 26 = -2*l. Suppose -q + b = -0*q - 1, 2*q = 4*b - 4. Sort q, 2, l in decreasing order.\nAnswer: q, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1036575 and -187\/37350.\nAnswer: 172071450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 30946*r**3 + 30948*r**3 - 62066*r**3 + 3*r + r**2)*(0 - 4 + 1) to the form o + t*r**3 + s*r**2 + v*r and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + -8 + 5 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812896105 to the nearest integer?\nAnswer: 42578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 27, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 157 = -4*f, -d + 353*f = 350*f - 5. Calculate the remainder when 2\/(-4) - (-225)\/2 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261711 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*q**3 + 3*q + q + 24*q**2 - 38*q**3 + 4*q**5 - q**5 + 3*q**5 wrt q.\nAnswer: 360*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -4\/3 (b) 159 (c) -4 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 39 + (20 - -42).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 d when four letters picked without replacement from {d: 5, g: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 174165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 854298307\/1691 + -505203. Is b less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -823\/3133 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*r + 10 = -h + 1359*r, -37*r = h - 34*r + 10 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9545 and -123.1651014.\nAnswer: -124.1196014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -379179.\nAnswer: -379179, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14998*l - 14955. Let u(a) = 3743*a + 3739. Let i(d) = 11*u(d) + 3*x(d). Differentiate i(k) with respect to k.\nAnswer: -3821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acniaccicobac. What is prob of sequence obn?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7706, 7688, 7670, 7652, 7634, 7616?\n\"Answer: -18*h + 7724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.071 in -0.1, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(72) + sqrt(72) + -2*sqrt(72) + sqrt(8) + sqrt(8))*-6)\/(((sqrt(56)\/sqrt(2) + sqrt(28))*2)\/(sqrt(7) + (sqrt(28)*2)\/sqrt(4) + sqrt(7))).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11231 - 100?\nAnswer: 11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49834.1756 less than -4474?\nAnswer: 45360.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1916399876 to three decimal places.\nAnswer: 1.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -31*c + 7. Let w be f(2). Is 14 a factor of (-2 - w) + 3\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 50*q + 32 = 3*r, 12 = -4*q - 2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*p + 2*t, 3*t = 2 + 1. Suppose 5*q - 597 = 3*r, -4*q - p*r + 298 = -185. Let b = 181 + q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*x + 8 = 0, 28*i + 3*x - 18 + 10 = 29*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 + 3*b + 4. Let i be r(-8). Let d be -92 + 5*i\/(-25). Let q = 92 - d. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x - 67*x + 6720. Calculate the remainder when x is divided by (-6)\/(-21) + (-248)\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 - 125. Let s = -31195 + 31294. Calculate the smallest common multiple of s and x.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 230691*y - 230688.\nAnswer: -3*(y + 1)*(y + 76896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2583 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/5 and -107\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8052 and 32.\nAnswer: 64416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*i + 5 = 0, 2*i - 2 = p - 3*p. Let s be (12\/3 - p) + 3. What is the closest to -2\/9 in 1\/2, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/(-27)*36\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ffhmhmmhhhhhm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -51*d - d**3 - 23443 - 64*d - 26*d**2 + 23283 - 13*d = 0.\nAnswer: -20, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5035129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124037.01966 - 124036. Round v to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6683839, -6683842, -6683845, -6683848, -6683851?\nAnswer: -6683854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*f = f + 50, 6 = 2*f. Which is smaller: h or 0.24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 + 401 = -5*b. Solve -5*y = 3*f + b, 0 = -4*y - f - 35 + 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2.146.\nAnswer: -3.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111 - 1011000?\nAnswer: -10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, b: 1}. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44218 and 0.22.\nAnswer: 44218.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:50 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 93. Let v be d(13). What are the prime factors of -21*v\/(-12) + 6?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 604, 1573, 2932?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o - 4. Let u = -3 - o. Is u at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*j = 1101 - 1321 - 738 - 1848 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -1071, -1621, -2215, -2877, -3631, -4501?\nAnswer: -5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 8661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i**5*i*i*i)\/((i**(-2\/11)\/i)\/i)*(i\/i**(1\/3))**2)\/((i\/(i*i\/i**(-3\/4))*i)\/i**3)**(-13\/8) assuming i is positive.\nAnswer: i**(9949\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/70)\/(-20 + 17 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - 2*sqrt(125))*2)**2 + sqrt(125) + 5 - (sqrt(125) + -1 + -2 - (-1 + sqrt(125) + -1 + sqrt(125))**2)) + 2.\nAnswer: -40*sqrt(5) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 - 6*l + 1. Let z be u(3). Let g = 0.5 - 0. What is the closest to z in g, 5, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67154 is divided by 109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**2 - k)*(-19 + 5 - 79)*(-17*k + 11*k + 7*k).\nAnswer: -186*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -2514?\nAnswer: -2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29398.079, -4, 3 in increasing order.\nAnswer: -4, 3, 29398.079","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -31*r**2 - 171*r - 2. What is i(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.37 - 4.53. Let s = -3.9 - q. Let u = 32 - 32. Which is the nearest to -0.1? (a) -0.3 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -27, 9 in increasing order.\nAnswer: -27, -11, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + 7 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1744360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 2 in increasing order.\nAnswer: -15, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 4*v + 6*v + (3 - 2*v - 3)*(1 - 1 - 3) - 4*v - v + 3*v + 2*v - 4*v - v - 2 to q + r*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(2\/3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 4185350?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -14\/5, 2\/7, 0.44, 1883?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 3, 1, -3, 0 in ascending order.\nAnswer: -12, -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/6 - -3)*9. Suppose -5*b - 4 = -b, v*m - 5*b = 41. Suppose -4*o = -2*i + 12, -5*i + m = -o - 9. Solve -i*w - 15 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 = 18. Let y(c) = -c**2 + 9*c + 6. What is the remainder when y(4) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.22 - 30.2199998726. Round z to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6645*l**2 + 17643*l**2 + 10035*l**2.\nAnswer: 34323*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 5*a + 3. Let q = -4 - -11. Let s be 2\/(-6) + (-62)\/(-6). Let p = q - s. Calculate v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.024 + -37. Let a = 0.085 - p. Let z = -0.06031 + a. What is z rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4655961 and 5076?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 9*s**2 + 4. Let m be n(9). Let q be 6 + (m - 1 - 6). Suppose p - 1 = -q. Which is the nearest to 1\/3? (a) p (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 5. Give s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -9. Suppose -5*l + s = -11. Solve -k = -l*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17719 and 13949?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32d8a (base 15) to base 8.\nAnswer: -473620","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*l = -u, u - 4*l - 25 = 0. Let z(t) be the first derivative of 0*t + 1\/6*t**6 + 4\/3*t**3 + 0*t**2 + t**u + 2*t**4 - 2. What is a in z(a) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - c - 64, 275 = 5*j + 5*c. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 + 0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176203094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmgggnmggnmgggggmggg. What is prob of picking 3 n and 1 g?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*p - 260 = 0, 0*p = -5*m + 2*p + 325. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 3. Suppose -u*g = k, 0*k + g = 4*k - 34. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 0\/(-1) - -142. Suppose -5*l + w - 19 = 0. Let p be ((-2)\/50)\/(l\/180). Are 0 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 6. Let j be l(-15). What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1887 - -2292. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Let y = f + 4. What is the second derivative of 5*z + 2*z**y - 6*z**4 + 4*z**4 + 2*z**5 wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18689 times -0.54\nAnswer: 10092.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) -15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -735, -882, -1125, -1464?\n\"Answer: -48*y**2 - 3*y - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 - 0) - -5. Let a be -4*3*y\/(-16). Suppose a*p = 4*i - 74, 0*p = -4*i - 2*p + 64. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -124*i - 236. Suppose -x - 2 - 3 = 0. What are the prime factors of z(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14389.\nAnswer: 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302, -608, -916, -1226?\n\"Answer: -x**2 - 303*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -91.21. Let n = z + 0.39. Which is the second smallest value? (a) n (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -0.4623.\nAnswer: -0.7623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4030 = 105*d + 2980 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(136)\/((1*sqrt(16))\/sqrt(2)) + -1*(sqrt(17) + -3 + sqrt(17) + 0)**2.\nAnswer: -78 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + b = 6*z - 300, -51*b - 7*z - 7*z + 10*z = -98 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevsgsvgghuuheuvvu. Give prob of sequence uv.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13218 - 17?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-12)*n**0*n*n**(-5)*((n\/(n*n\/n**1))\/n)**(1\/29)\/(n*n**(2\/5))**15 assuming n is positive.\nAnswer: n**(-1074\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 17 + 3 - 5. Let u be ((-198)\/264)\/((-6)\/(-72)). Calculate n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q*q\/(q*(q\/(((q**4*q)\/q)\/q))\/q)*q*q)\/q)**(-2\/13))**(5\/2)\/((q**(2\/5))**(1\/25))**20 assuming q is positive.\nAnswer: q**(-1104\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from vkbkbvkkkbkk.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/8 - 5\/56. Let v = -11 - -8. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 18551 + 11701. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 264, 413, 574, 747?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bok when three letters picked without replacement from bbkbrorbkkookgokrrok?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4937, -9872, -14807?\n\"Answer: -4935*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 19. Let n(d) = 2*d - 9. Let a(i) = -i**2 + 16*i - 21. Let l be a(11). Let g = -29 + l. Let y(w) = g*n(w) + 2*s(w). Give y(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2813758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c. Let t(z) = 15*z. Give -5*t(j) + 8*v(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -3, -23\/3, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 2. Let l(w) = -5*w**2 - 3. Let y(q) = 3*d(q) - 2*l(q). Let x(n) be the first derivative of n**3\/3 - 302. Determine y(x(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 7*a**2 + 5*a + 3. Suppose 4*c - d - 26 = -0*c, c - 14 = 4*d. Let s be q(c). Let o = s - 34. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1798)\/(-12))\/(-31) - 6365\/(-2010)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9569\/47845*545\/(-1)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = -2*w + 2, -3*w + 4*s = 0. Suppose -344 = -w*i + 2*i. Suppose -5*a - g + i = g, 3*g + 31 = a. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v**2 - 2*v**4 + 213*v + 3*v**3 - 228*v + 3*v**4 = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 19765.\nAnswer: 1\/3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20 + (-2970)\/160)\/((-3)\/20) and 119\/702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4386249 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 3*o**5\/5 + o**4\/2 + o**3\/3 + 58*o + 69. Find the third derivative of k(i) wrt i.\nAnswer: 72*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(55 + 2\/(-1)). What is the common denominator of 107\/18 and (((-5)\/4)\/5)\/(2\/m)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -2 (b) -0.1 (c) 5 (d) -1\/12 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1776.9402 or 0.1?\nAnswer: 1776.9402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.79 - -14.19. Let o = -544 + 535.54. Let g = h - o. What is the third smallest value in g, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2792\/427 - -2\/61. Let y = 400\/63 - b. Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/12))\/(g\/(g\/(g**(-18)\/g)))*g**(1\/10)*g**(4\/3)*g*g assuming g is positive.\nAnswer: g**(1411\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l**(-10)*l)*l*l*l**(-1\/15)*l*l\/(l*l*l*l*l\/l**(-1\/6)*l*l)*l**(-22) assuming l is positive.\nAnswer: l**(-457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5756 and 1044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*j = -15, 3*j - 16 - 5 = -2*u. Let o = u + 7. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3126*b**2 + 8080.\nAnswer: 6252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64620 and -14080?\nAnswer: 50540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-84))\/(20\/15*35\/(-490))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 9*v**4\/8 - 2*v**3\/3 - 3*v**2. Is m(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbjbbbgjbjjjb. Give prob of picking 2 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 10)*(3*f - 3*f - f**3).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:36 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/30 - i**4\/24 - i**3\/6 - 4*i. Let q(t) be the second derivative of l(t). What is the first derivative of q(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 27*n + 32. Let f be z(26). Let s be (-22)\/(-28) + f\/(-12). Which is the third biggest value? (a) -3 (b) s (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 5, a: 14, h: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*q - 457*q - 204 = -232*q - 4246 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, -1, 1, 5, 210, 16.\nAnswer: -1, 1, 4, 5, 16, 21, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 5*t - 3 + 5\/2*t**2 + 1\/3*t**3. Let g be k(5). Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1125\/18)\/25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84551 is divided by 776?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060049839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 14 + -6 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(17)) + 4)**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (4 + sqrt(117))**2).\nAnswer: -272 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 3*t - 4*t + (6 - 4 - 3)*(2*t - 3*t + 3*t) + (10*t + 18*t - 12*t)*(-17 + 4 - 36) + (-2 - 1 + 2)*(3*t - 4*t + 0*t) as v*t + h and give v.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1008.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 3*r**3 + 2*r**3 + 31*r**3 + 11*r**3 - 56*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 38*y - 6 = 0. Solve y*l - 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 14)*(2 - 4 + 0) + 4 - 2 - 3 + 9 - 2 + 3)*(-2*j + 0*j + 3*j) to g + q*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (6 - -5) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25492333 is divided by 1582.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -191, -439, -793, -1259, -1843?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35032913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*q**3 + 5*q**3 - 8*q**3 + 0*q**3.\nAnswer: -59*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/7)\/v**11*v*v**(-3)*v**(-3\/17)\/v assuming v is positive.\nAnswer: v**(-1755\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573638.\nAnswer: 2, 3, 11, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -54\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(-11 - 10 + 20 - 1 + 1 + 3 - 3 - 1 + 2 - 1 + 4 - 5 + (6 - 3 - 1)*(2 + 1 - 1) - 1 + 4 - 2).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 2*d**2 + 3*d + 22. Let j be f(-5). List the prime factors of -2 + ((-102)\/j)\/((-21)\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28846 - 12080. Is 59 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65) + -4*2*sqrt(65) + sqrt(65) + sqrt(65))*-1)\/(sqrt(35)\/(sqrt(49)\/sqrt(7)*-5))*4.\nAnswer: -80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3729, 1\/6, -4, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-1)\/(-44) + 32\/11. Let q(t) be the third derivative of 0*t**i - 1\/30*t**5 + 6*t**2 + 0 + 0*t + 0*t**4. Let g(l) = l. Calculate q(g(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8841 - -12431. What is b rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 191*v. Let b(h) = 286*h**2 - 3. What is c(b(u))?\nAnswer: 54626*u**2 - 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 64948118 - q**3 - 4*q + 64948119 in the form g*q**3 + v*q**2 + r + j*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let z(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3 + 5*a**2\/2 - 79*a. Let m(h) = 5*u(h) + z(h). Let n = -9 + 3. Give m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = 3*o, o - 3*f - 8 = -3. Suppose j + 2 = -o. List the prime factors of 3 + j - (-6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 6*w - 14, 2*w - 201 + 187 = -3*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*o + 4328, 15*o = 13*o + 4*b - 2158. Let l = -613 - o. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 24) + 25 + -4 + 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzaa when four letters picked without replacement from {z: 6, e: 1, b: 4, a: 4, i: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 388 = -q. Suppose -3194 + q = 3*u + y, 4*y = 0. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-1 + 3 + 0)*(4*c + 3*c - 6*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171, 163, 171, 201, 259?\n\"Answer: m**3 + 2*m**2 - 21*m + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-4))\/((-765)\/1020)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 2*p - 1. Let c(x) = x**2 - x + 1. Let i(q) = q**3 + 5*q**2 + 2*q - 4. Let l be i(-4). Let g(j) = l*c(j) - t(j). Is g(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - 16. Let s = -29 - t. Suppose -84 = -3*h + 3*n, -4*h + n + s + 22 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 774351626 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -16, -32, -54, -82, -116?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-15) + (-2)\/(-12))*114. Find the first derivative of -120*v**2 - 61 - m + 202*v**2 wrt v.\nAnswer: 164*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 - 12*j - 15. What is y(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1645, -3205, -4765, -6325?\nAnswer: -7885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 127\/6. What is the second smallest value in -5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6054.91\nAnswer: 6059.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15 + (58488\/(-120) - 25). What is the second biggest value in -1\/3, 3\/2, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 10:02 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/15 - (-408)\/510.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 10*n + 17. Let p(y) = -y**2 - 5*y - 8. Let q(s) = -13*p(s) - 6*z(s). Let t be q(-5). Suppose -111 = -t*w - w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 5*g**2 + 4*g. Let s(y) = y**3 + 2*y**2 - y + 1. Let q be s(-2). Let x(k) = -q*k + 7*k - 2*k. Give x(h(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 - 4 + 71*i**3.\nAnswer: 71*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6208487*s**5 - 22970880*s?\nAnswer: 124169740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g - 7. Let f(s) be the third derivative of -s**6\/120 + 3*s**5\/20 - 7*s**4\/24 - s**3\/6 - 3*s**2. Let b be f(8). Does 9 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 927918 - 567903. Suppose 5*d + 0*n - 5*n = s, -143997 = -2*d - n. What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.17 - 12214761392.\nAnswer: -12214761395.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 equal to 406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 4*d - 20 = 0, 1 = u - 2*d. Let y = -125 - -128. Let c = u + y. What is the closest to 2\/3 in 1\/4, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 4. Let k(a) = 9 - 37*a + 24*a - 7 + 2 + 9. List the prime factors of k(o).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -634 - -634. Solve -15 = -3*s, 2*a + 0*a + 3*s - 21 = d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(-1 + (sqrt(2057) - (-1 + sqrt(2057)))) - (-1 + -5*(sqrt(2057) + -1)))*4)**2.\nAnswer: -7040*sqrt(17) + 823056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfynnfkfkyffk. What is prob of picking 2 n and 1 f?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1740003*(4 - 3). Round u to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2. Suppose -t = -2*c - 8, t + 2*t + 2*c = 0. Let z(k) = -k**3 + 3*k**2 - k. Let u be z(2). Let r(d) = -4*d**2 - u + 2 + 9*d**t. What is r(q(v))?\nAnswer: 45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.33, 5, 1, -0.2, 35, 98?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 734009.2us in nanoseconds?\nAnswer: 734009200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -49*h**4 + 7*h**2 + 7*h + 81. Let v(m) = -16*m**4 + 2*m**2 + 2*m + 27. Let s(o) = -2*a(o) + 7*v(o). What is the derivative of s(x) wrt x?\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, -0.4, 3, 122\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (826026\/(-7) - 18\/63). What is a rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 125\/9627?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3960732 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0224471 minutes?\nAnswer: 1346.826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wit when three letters picked without replacement from {i: 2, t: 4, u: 3, c: 2, w: 3, f: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - 3*x**2 + 1. Let f be z(2). Let m = 420 - 231. What is the greatest common divisor of f and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-49 + 35 - -12) - -24\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18071\/1884 - 51\/157. What is the common denominator of d and -67\/1504?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 525?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-550)\/(-30) + (7\/(-3) - -2). Suppose -16*f + 3*y = -h*f - 66, 0 = 3*f - 3*y + 99. Which is smaller: f or -32?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 + 65502*z**2 + 12131478*z + 563309370 = 0.\nAnswer: -32565, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 5) in base 14?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s**3 - 992 + 332 + 326 + 334.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = 14*l - w + 11, -14 = -5*l - w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.6 - -46.6. What is the closest to 0.3 in g, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -2*o**5\/5 - 167*o**4\/12 - 1298*o**3\/9 - 1807*o**2\/6 + 338*o\/3 - 4275. Determine p, given that m(p) = 0.\nAnswer: -13, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21805 + -1?\nAnswer: -21806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3281 - 3269. What is the nearest to j in -2\/3, 12, 0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (7 + -6 + (-3 - -5 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345788 - 345788 + 22*i**3 - 21*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339946 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3*r + 0*r)*(-8*r**2 + 23*r**2 + 18*r**2) + 2*r**3 - 4*r**3 - r**3 + (0 - 1 - 1)*(r - r + 2*r**3).\nAnswer: 224*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(2\/7))\/i))**(-44))**(-18) assuming i is positive.\nAnswer: i**(3960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/11 + 146*f**4\/11 - 1568*f**3\/11 + 24*f**2 + 13248*f\/11 - 17280\/11 = 0.\nAnswer: -3, 2, 12, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8*d + 234. Let p = d - -51. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -11\/6, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 + -0.27. What is the third biggest value in d, 2, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13089 = 31*k - 81320. Let v(l) = -2201*l + k*l + l**2. Let u(g) = 415*g. Determine v(u(f)).\nAnswer: 172225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (47\/95 - 2\/(-19))*735. Calculate the highest common factor of c and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161, 156, 149, 140?\n\"Answer: -n**2 - 2*n + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 12. Let k be (-9)\/2 - 12\/(-24). Let b(m) = 1. Let o(d) = k*b(d) + t(d). What is the remainder when o(9) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i**4 + 368*i**3 + 654*i**2 - 394*i + 52 = 0. Calculate i.\nAnswer: -2, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 1\/3*n**2 - 2 + 0*n**3 - n - 1\/18*n**4. Let i(p) be the first derivative of l(p). Find t such that i(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*s - 37, m + 9*s = 4*s + 21. Let p be (-6)\/(-8)*1*-4. Let n = 53 + -58. Put n, m, p in increasing order.\nAnswer: n, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.5 (c) 3316726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - 4*1*sqrt(114)))\/(sqrt(6)*1*-2).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*5\/20*10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -91, -96, -99?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 18*d**2 + 524*d + 29. Determine a(-29).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45611104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 39. Is -10 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 30*i**3 - 10*i**2 + 2*i + 7. Calculate j(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807777?\nAnswer: 23, 53, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -95?\nAnswer: 49\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - v + 2. Let b(c) = 11*c**2 + 7. Determine -b(z) + 3*d(z).\nAnswer: -2*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37057 (base 9) to base 8.\nAnswer: -60406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121624 is divided by 250?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203551 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: Solve -p + 2*b = 17, -5*b = -3*p - 98 + 57 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69, 36, -25, -120, -255?\n\"Answer: -m**3 - 8*m**2 - 2*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*10\/4\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + ((-4)\/(-6))\/(18\/(-135)). What is the nearest to 0 in a, -3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201020201 + -10?\nAnswer: 201020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-2)*(-3 + 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + u - 63*u**2 - 35 + 35 + 61*u**2 - u**4 in the form d + h*u**4 + z*u + r*u**3 + a*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -237709 divided by -2\nAnswer: 237709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -1, 135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -365 + -133246.4.\nAnswer: -133611.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 209*o - 1068. Let p be v(5). Suppose 16 = 2*w + 2*w. Let c(z) = z. Let y be c(-5). Sort y, 5, p, w in decreasing order.\nAnswer: 5, w, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n + 0*n**7 + 0*n**6 + 1\/24*n**8 + 0*n**5 + 0 - 10*n**2 + 11\/24*n**4 + 0*n**3. Find the second derivative of z(i) wrt i.\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/85 + (-11492)\/578 + 20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -180 + -6?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3 - 141*n**2 + 576*n + 4889. Solve q(o) = 0 for o.\nAnswer: -96, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/2 - 17. Factor -1\/2*z**3 + 0 + 0*z**2 + r*z.\nAnswer: -z*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 41. Let q = 33 + g. Sort 4, -2, q in ascending order.\nAnswer: -2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 2*m + 2*m**2 + 12*m**3 - 4*m**3.\nAnswer: 8*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - -117. Let h = s + -73.5. Round h to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -1065\/89?\nAnswer: -1065\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d. Let g(w) = 3753*w**2 + 3*w. Give q(g(s)).\nAnswer: 18765*s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -6 - (10 + -4 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141752 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14495*-1861.\nAnswer: -26975195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1 (c) -2 (d) -0.07 (e) -3\/4 (f) -1307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65) - -6*-4*sqrt(65)))\/(sqrt(50)\/(sqrt(40)*-4 - sqrt(40))).\nAnswer: 230*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 304 and -286038.\nAnswer: -285734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 3*c**2 - 2*c**2)*(-c - 4*c + 10*c).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + 9 = 0. Suppose n - u = 3*u + 5, -10 = -2*n - g*u. What are the prime factors of -1 + (n - (1 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 635 + -1904\/3. Let s = -5 - -5. Which is the fourth biggest value? (a) l (b) 2 (c) s (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 2*m - 2. Let u = 12 - 7. Let p(h) = 2*h**2 - 8*h + 6. What is the remainder when p(u) is divided by o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r - 7. Let j be m(-6). Calculate the highest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:43 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 23. Solve 8 - h = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*h - 123 = 81 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 4*g - 2. Let l be h(-2). Let o be (l - 1)*1*(-2 - -60). Let k = 65 - o. Solve -3*u + k + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 45 (c) 66.4 (d) -2\/11 (e) -2\/13 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeee when four letters picked without replacement from {v: 2, y: 2, k: 8, e: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {h: 6, x: 1, u: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 498*y**3 - 5162*y**2 + 4662*y.\nAnswer: 2*y*(y - 9)*(y - 1)*(y + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**6 - t**5*x + 6*t**4*x + 146*t**2*x + 4*t**2 + x wrt t?\nAnswer: 360*t**3 - 60*t**2*x + 144*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 6*q - 4*q, -q + 4 = -x. What is the second derivative of 7*b**4 + 5*b + 10*b**q - 12*b**4 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 24. Suppose -5*p - 3 = -53. Let m be (10 + -13)\/((-2)\/p). Calculate the greatest common divisor of f and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2. Let j = 9 - -6. What is the units digit of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 6*l = -9*l - 16, 0 = -2*i - 5*l - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - 13*l + 11*l, 0 = 4*u + 5*l - 10. Sort 4, -2, u, -9 in ascending order.\nAnswer: -9, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53472?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*(-2)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3536055.\nAnswer: 3, 5, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67 + 53 - 57 - 170*h**4 + 101 wrt h.\nAnswer: -680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -9 - -7)*(-4)\/(-3). Let w be 3*13866\/45 - l\/10. What are the prime factors of ((-2)\/6)\/(-5 + 4616\/w)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 42?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1368 divide 346839984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/6, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -99\/199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m - 5. Is l(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, o: 3}. What is prob of sequence ror?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 199, 412, 625, 838, 1051?\n\"Answer: 213*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79745 - 1834519\/23. Which is smaller: y or -16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 28*i - 44*i + 17*i. Let n(w) = -w + 6. Let f be n(5). Give t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2088 = -2*b, 2092 = -2*z + 6*z - 3*b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 1626*t**4 + 3*t**2 + 618 - 1625*t**4 in the form c*t**4 + v + z*t**2 + a*t + w*t**3 and give v.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2271*x - 6653. Determine v(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(18\/(-984)). Let k = 517\/20 - 91\/10. Calculate the common denominator of k and -1 + h\/6 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 7220\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1060 divide 3485280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.80676 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-2))\/(645\/430). Solve -w - 3*n = 7, w + o*w - 28 = 2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693143403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(16))\/(sqrt(2)*-1*6)*1*-3.\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32032 - -44?\nAnswer: -31a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*v**3 + 2489*a*v**2 - a*v - 2*a - 42*v**4 - 2*v + 691805 wrt v?\nAnswer: 18*a*v + 4978*a - 504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 24 = -3*g, -2*g - 20 = 465*o - 461*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let f be i(-3). Let y be 1\/4 + 6\/8. List the prime factors of (0 + f + 13)*y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f + 874. What is the hundreds digit of b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4\/(7 - 3). Suppose 4*v = h + 4, -4*v = h - 10 - k. Calculate the remainder when 18 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15809?\nAnswer: 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6)*(-45)\/6. Suppose -a + 3*i = 10, -5*a = -i + 4 - g. Factor -a*h**2 + 4*h**4 + 6*h**3 + 2*h**5 - 4*h**4 - 6*h**4.\nAnswer: 2*h**2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 3. Let r be a(4). Suppose -4*y + 3*j + j = -52, r*y = -5*j + 55. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 252112412?\nAnswer: 252112404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -1\/2*n**4 + 0 - 8*n**2 - 4\/3*n**3 + 4*n - 1\/15*n**5. Let m(l) be the first derivative of z(l). Factor m(w).\nAnswer: -4*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 94. Calculate k(-35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 - 3*b**4 + 4*b**4 + 0*b**3 + 0*b**3 + 2*b**4 + (-3*b**2 + 2*b**3 + 3*b**2)*(-2*b - 2*b + 5*b))*(-103 + 16 - 55).\nAnswer: -284*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7736972378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ste when three letters picked without replacement from stsltelstets.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 39*m + 62. Suppose 19*f - 3368 = -2*a + m*f, 0 = -2*a + 4*f + 3332. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0440096 or -0.3?\nAnswer: -0.0440096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3811 in 3\/5, -0.2, 1\/6, 2.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013221 (base 4) in base 14?\nAnswer: -1957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20176183, -20176182, -20176181, -20176180, -20176179, -20176178?\nAnswer: -20176177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 9 = n, 4*w - 28 = -4*n. Suppose l + 3*g = 4, -l - g = -n*l + 8. What is the remainder when 6 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 13*x**2 + 22*x - 2. What is the tens digit of n(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 times 306514\nAnswer: -28505.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963330 to the power of 1\/2, to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 14.2475.\nAnswer: -17.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -70*m**4 + 3*m**3 - 3*m**2 + 3*m - 26. Let o(j) = 211*j**4 - 8*j**3 + 8*j**2 - 8*j + 77. Let l(z) = 3*o(z) + 8*q(z). Differentiate l(y) wrt y.\nAnswer: 292*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = -5*k - 43, 0 = h + 5*k + 6. Is h smaller than 708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - -9) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 13*v + 20. Let d be j(-14). Suppose d*m - 3*m = 81. Suppose 22*p = m*p - 200. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-25) - (-56)\/10. Suppose -5*z + 0 = -o. Let g(l) be the second derivative of -l**3 + l**2\/2 - 15*l. Calculate g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 39666 = 4*y + 194724, -2*y - 77540 = -4*j. What is y rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417667400 rounded to the nearest one million?\nAnswer: 1418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5 + 2*d - 5. Let o(h) be the second derivative of h**4\/3 - 2*h. Calculate f(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -586 (b) 1 (c) 67 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - 11) + (68 - 65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 101. Is 3 a factor of p(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1840 or -49875?\nAnswer: -49875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57937644 and 2346?\nAnswer: 984939948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 52*j**2 + 1. Let v(a) = 8454*a**2 - 12051*a + 5. Let o(t) = -5*p(t) + v(t). Find the second derivative of o(z) wrt z.\nAnswer: 16388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 1. Let r be l(-2). Suppose -5*i + 70 = -3*i - 3*k, 3*k + 146 = 4*i. Let p = i + r. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8779*k**2 - 14*k - 3718. Let o(n) = -5854*n**2 + 10*n + 2477. Let i(b) = -7*o(b) - 5*u(b). What is the first derivative of i(l) wrt l?\nAnswer: -5834*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10688*g + 2. Let s(b) = -b**2. Give s(t(a)).\nAnswer: -114233344*a**2 - 42752*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0 + 84*q**3 - 38\/3*q**4 + 2\/3*q**5 - 216*q**2 + 144*q = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x - 3*x. Let m = 3949\/3 - 1338. Let u = 21 + m. Find the common denominator of u and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 12*o**2 - 12*o + 23. What is s(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - x**2 - 2*x**2)*(2*x**2 + 2*x**3 - 2*x**2) + 170*x + 20*x**5 - 170*x.\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1854 and 1030?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/345*506\/(-44))\/(2\/(-170))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q + 23711 - 24431 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*j + 156 = -92*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, -5*p = 3*h - 21 + 1. Suppose q - y - 734 = p*y, -q = y - 740. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378\/27 - 19 - 194\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (23 - (98 + -35)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 990?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -5550 (c) -5\/239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + 1 + -13 + (-821 - -811)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169425434?\nAnswer: 2, 17, 137, 36373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 2)*150\/(-1). Let u be v\/(-8) - (-2)\/(-8). What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 101780 to the nearest 1000.\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1255, 1004, 753, 502, 251, 0?\n\"Answer: -251*z + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -13, -26?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**3 - 2*x**2 + x. Let a(d) = d**3 - 9*d**2 + 2*d - 5. Calculate the remainder when a(9) is divided by q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 99 = -113. Suppose -a*i + 5*i - 17180 = 0. Round i to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/75 - 2\/6. Which is the closest to -1? (a) -0.2 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 187*k + 1500. Calculate n(-51).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-117)\/(-3))*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 136\/10 - 2\/(-5). Let j = y - 9. Suppose -j*b = -10 - 5. Calculate the highest common factor of b and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 1516, -1\/4, -2.3, -97?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z + 74 + 66. What is the smallest value in -1, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 325*l**3\/6 - 364*l. Let q(a) = a. Determine q(t(f)).\nAnswer: 325*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.3 + 2.2. Let u = 7 - a. Put 3\/4, 0.5, u in increasing order.\nAnswer: u, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 + 133*v**4\/3 + 107*v**3 + 62*v**2\/3 - 128*v\/3 = 0. Calculate v.\nAnswer: -64, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -318 - -318. Solve r + 2 = -h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*a - 278*a + 4*a**2 + 65*a + 78*a + 64*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**8\/336 - z**5\/40 + 2*z**3 + 2. Let v(h) be the third derivative of p(h). Find the second derivative of v(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.18*0.28\nAnswer: 0.6104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + ((sqrt(343) + sqrt(343) + 3 - sqrt(343)) + 1 - sqrt(343)) + -5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - q)*(36*q**3 + 1316*q**2 - 1316*q**2) + 5*q**4 + 5 - 5 - 4*q**4 - q**4 + 7*q**4.\nAnswer: 43*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*3\/(-18)*(-378)\/21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -3 (c) 362\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:10 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -112 times -256396\nAnswer: 28716352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 223386 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 78*p - p - 77*p + 3*p**2. Let i(g) = 970*g. Give u(i(k)).\nAnswer: 2822700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Let n(d) = 17487*d. Determine n(m(c)).\nAnswer: 34974*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/7, 3\/5, -2\/3, -24, 39\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43619199*d*m**2 + 2*d*m - 1148225*d - 2*m**3 + m wrt m?\nAnswer: -87238398*d - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 8*n - 4 = 0. Let m(k) = 7*k - 1 - 45*k**2 + 3*k**3 - 2*k**3 + 23*k**n + 16*k**2. Determine m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 14 - 23. Find the second derivative of -23*l**3 + 3*l**2 + 12*l - 3*l**2 + 7*l**f wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaxa when four letters picked without replacement from aaaxaaxaaaaxaaaaaxx?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let g(n) = -n**2 + 7*n - 9. Let l be (12\/(-10))\/((-2)\/10). Let m be g(l). Which is the nearest to -0.1? (a) m (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 406\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11649.\nAnswer: 3, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -4*o**3\/3 + 30*o**2 + 64*o - 184. Let d(u) = 0. Calculate u.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 80390.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3665*d - 1784854. Give o(487).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 10*i + 4. Let y be h(9). Let l = -3 - y. Let w be -1 + l + (-1 - (-2 - 2)). Solve 16 = 4*o + w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4454060*z + 4452307*z - 168288 = 0 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -319686360 divided by -22834740?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1045\/8 - -131. Let l = -2.888 + -0.112. Which is the third biggest value? (a) l (b) -11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 49 + 15 + (-23 - (2 + 0))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 146*c**3 - 54 - 7.\nAnswer: 146*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 122, 282, 516, 830, 1230?\n\"Answer: i**3 + 28*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 10. Suppose -o = a + 4*o - 20, 5*a + 12 = 3*o. Let h = -8 + a. Let j be u(h). Solve 5*v + 2*b - 29 = 0, 0 = v + 3*b + j - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 22 - 0. Suppose 2*f + 5*w - t = 0, f - w = -6*w + 8. Find the third derivative of -n**f + 2*n**6 - 4*n**2 + 4*n**3 - 3*n**3 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -464, -655, -922, -1265, -1684, -2179?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 127, 256, 385, 514, 643?\n\"Answer: 129*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -432 divided by -72\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4469 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -0.2. Let z = -0.8 - h. Which is the second smallest value? (a) z (b) 2\/7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101212 - -1?\nAnswer: 1101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/130 - 1\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/5)*l**(-2\/3)*l**3*l**1)**43 assuming l is positive.\nAnswer: l**(3182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -11. Which is the second smallest value? (a) 0 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 1, y: 2, l: 1, r: 2}. Give prob of sequence yrr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - h - 3 - 2*h**3 - 4)*(0*h + 0*h + h) to u*h**2 + r*h**3 + w*h**4 + m + i*h and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) 190.79 (c) 0.4 (d) -1\/2 (e) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/11))**(16\/3)*j\/(j*j*j**2)*j*(j\/j**(-15))\/j*j assuming j is positive.\nAnswer: j**(478\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4385370)\/(-1746)*(-39)\/(-715).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4065 + -64?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + p + 3. Let g(k) = 4*k**2 - 4. Let s(a) = a**2 + 5*a + 2. Let t be s(-4). Let w(n) = t*g(n) - 3*v(n). What is w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 24*j - 54*j + 25*j - 9*j**2 - 2 - 2*j**3. Let o be w(-4). What is the second derivative of -2*d**o - 3*d**2 - 4*d**2 + 3*d**2 + 3*d wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-4)*(-10)\/8. Let y = 5 + -4.8. Sort p, 4, y in ascending order.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.514?\nAnswer: -0.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15235000 rounded to the nearest 100000?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 - 6*y + 5. Let t be z(5). What is the units digit of t - 4*(-1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1816740585.0824153039855 + 4023.9175883960145. Let s = 1816744688 - z. Let i = s + -79. What is i rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ffb - 5?\nAnswer: -8000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7216\/8118)\/(5\/15*(-2)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070640 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let s be (-1)\/4 + (-221)\/(-4). Is (z\/(3\/s))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1187 and 1457?\nAnswer: 1456.8813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 2223 + 1548 = -149*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -3*i, 4*u - 4*i = 9*u - 23. Suppose -u*m = 20 - 8. Let o = 1 - m. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqekkykypyeyyy. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = -x - 0*h, 1 = 3*x + 5*h. Let j = -8 - -11. Let d(o) = 1 - o**3 - 8 - j*o + 1 - 4*o**x. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -149, -318, -535, -788, -1065?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 - -6.29. Let x = 0.459 - 0.959. What is the biggest value in f, -3, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12323320 + 4?\nAnswer: -12323311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -2 (c) 4 (d) 0.0525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 99.345*-0.4\nAnswer: -39.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 83. Calculate the lowest common multiple of f(5) and 168.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-760) - 1\/((-133)\/(-6503))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 65 = -4*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 677329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 - 305252?\nAnswer: -305501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/1020 + 2*k**5\/51 - 7*k**4\/68 + 6247*k**2. Factor b(v).\nAnswer: 2*v*(v - 1)*(v + 21)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3646*c**3 - 13*c**2 + 24*c - 2496287 with respect to c.\nAnswer: 10938*c**2 - 26*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44735982 is divided by 1789439.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -11*s**5\/4 + 273*s**4\/4 + 161*s**3 + 27*s**2 = 0.\nAnswer: -2, -2\/11, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36975084 by 18487542.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4715 = 100*m + 60*m - 738 + 6423 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 1, -6 in decreasing order.\nAnswer: 1, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/401 + 16958\/6015. Calculate the common denominator of 38\/75 and w.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -36*r - 896. Calculate u(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152.12 + -150. Let h = m - 2.22. What is the closest to h in 1\/4, -2, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30763794 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.127, 0.09, 10, -1, -20 in decreasing order.\nAnswer: 10, 0.09, -0.127, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*r - 464*r + 6048 = r - 6074 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1. Let g be 4\/5*(-50)\/4. Calculate j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (26 + -22)) + 6 + (2 - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 - 80 = 4*o. Suppose l + 126 = -2*l. Let g = 69 + l. Calculate the remainder when o is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*(235\/(-25) + 9)*(-2 + -3). What is the highest common factor of 2925 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615745.\nAnswer: 5, 13, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/98861588 and 56\/9?\nAnswer: 889754292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/10 - r**4\/12 + r**3\/3 - 5*r**2\/2 + 14*r. Let m be f(0). Sort -3, m, -8, -1 in ascending order.\nAnswer: -8, m, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-256)*-12*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from ayaayaaaayaaay.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 11*b**2 - 9*b - 1. Let o be w(9). Let s = o - 3. List the prime factors of s.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m**2 - 10*m**2 - m**2 in the form h + q*m + j*m**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1288, 0, 5, 1 in ascending order.\nAnswer: 0, 1, 5, 1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2778*k**2 - 8. Let p(m) = m**2 - 11*m + 6. Let q be p(11). Let s be d(q). What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/3 + -2 + 18. Suppose 2*t = 5*l - 64, 88 - z = -3*t + l. List the prime factors of (-10)\/55 + (-268)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = g - 9, 5*g = 3*g + o + 6. Let f(u) = 466085*u - 3. Let a be f(g). Let r = a - -12269578. Round r to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649041 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 - 11*g + 8. Let h be c(-10). Suppose -h = -5*p - 238. Let k(w) = -13*w + 105. Calculate the lowest common multiple of k(8) and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 16*m + 287. Determine h(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k = -19*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.5914 centuries to years.\nAnswer: 12959.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9242105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-5)*((-175)\/(-30) - (-60)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - -30?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359508 divided by -17.\nAnswer: 359508\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = 333*m - 334*m + i, m = 3*i + 955. Are 960 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 + 2*b**2 + 3*b**2 + 6*b**2 + 8*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30213608 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -11*p + 6*p. Let a be (p\/(-6))\/(3\/639000). Round a to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 4*x + 1. Let g = 48 - 96. Let z = g - -46. Let u be w(z). Solve -u = 5*m + 2*d, 2*m + d + 3 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10422.000009574 + 10422. Round a to 7 dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.46783 centuries to decades.\nAnswer: 844.6783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3266, 6532, 9798, 13064?\nAnswer: 16330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.16915.\nAnswer: -1.0149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-4\/17)\/(y\/y**(-12))**(-40) assuming y is positive.\nAnswer: y**(8832\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = 5*t. Let m(i) = -i**3 + i**2 + 4. Let n(q) = -q**3 + q**2 + 1. Let g(l) = t*n(l) + m(l). What is the third derivative of g(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(98) - sqrt(98)*-3)*3*4 + (sqrt(98) - (5*1*sqrt(98) - sqrt(98))) + 4 + -2*sqrt(98)).\nAnswer: -903*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Suppose -21 = -4*q - j + 8, 0 = -2*q + 5*j + 31. Calculate the lowest common multiple of x and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 + -208. Calculate the remainder when 1 + 2 + (-72)\/(-2) is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4) + -13 + (19 - 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25817.\nAnswer: 11, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 67*z - 2879. Give l(42).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t + 295. Determine v(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Let m(t) = t**3 - 20*t - t**2 + 9*t + 1 + 10*t. Let l(a) = 2*a**3 - a + 1. Let v(p) = c*m(p) - 4*l(p). Find the third derivative of v(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*x + 3*g, -x - 3*g = -0*x + 2. Let s = -4 - x. Is 3\/4 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.4739 + -0.0639. Let x = -1.61 + f. Let k = -11 + x. What is k rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9788*d + 46079 = 9007*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*d - d + 32, 0 = 157*d - 314*d + 154*d + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 10*q**2 + 42*q - 341. Let g be d(11). Solve 0*z - 13*z + 39 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2556)\/(-627) - 4) + 2\/19.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 7 + 13 + (-18 - 4) - (3 + -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6) - 88\/(-12). Find m, given that -3*m**2 - 25*m + p*m + 13*m + 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1403014*d**2 + 2716356*d wrt d?\nAnswer: 2806028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**2 + 111*u + 8. What is d(9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p - 3*p + (-3 + 3 - 2)*(3 - 2*p - 3) + 2*p - 4*p + p + 122*p - 479*p - 55*p.\nAnswer: -410*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 661529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = -14*f + 2*b - 4, -44 = 5*f - 13*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.032 + 0.232. What is the closest to 2 in -8, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 12*h**2 - 68*h + 80 = 0.\nAnswer: 5\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5696 and -5037?\nAnswer: 28690752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*r - 95*r - 80*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 177 - 145. Let k = 20 + -12. Differentiate k*o - u*o + 3*o**3 - 5 with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711321?\nAnswer: 367, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-2)\/(0 + 2). Let l(t) = 7*t - 3. Let z(d) be the first derivative of 4*d**2 - 4*d + 6. What is q*z(y) + 4*l(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*r + 174*r + z - 18 = 0, r + 4*z = 20 + 7 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 12*f - 90. Calculate the highest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7549*n + 99 + 1614*n - 6459*n - 99.\nAnswer: -12394*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7605 and 247104?\nAnswer: 16061760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157761?\nAnswer: 71, 30391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -44, -145, -338, -653, -1120?\n\"Answer: -5*z**3 - z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1677\/95 - 5977\/570. What is the common denominator of 33\/(-17) + 4\/6 and h?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21516172369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 + 2. Let i be c(7). Suppose -5*h + i*d - 13 = 0, 3*h - 6*h - 5*d - 14 = 0. What is the units digit of 4 + ((-6)\/h)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + (sqrt(320)*-2*4 - (sqrt(320) + -5 + sqrt(320)*2 - sqrt(320) - sqrt(320))) + -5)**2)*-3.\nAnswer: -77802 - 1728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 4 = 56*m. Suppose -i + 639 = 2*i + 4*s, -2*i + m*s = -426. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15343*t + 4342040. Determine m(-283).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310\/3 + 103. Let p be -59*2\/(-38) + -3. Let g = 376\/11 + -34. Which is the closest to x? (a) p (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 166, 27, -212, -551, -990?\n\"Answer: -50*i**2 + 11*i + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4303899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32760 divided by -420.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (-16 + (26 - 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -44131 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 11037592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2100\/(-280)*(-1)\/(20\/2*4)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-18))\/5 + 408\/3672\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58221904, -116443809, -174665714?\n\"Answer: -58221905*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 68*q - 7. Let y be v(5). Let t = y - 171. Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 + 2*g**2)*((2 - 6 + 2)*(32 - 5*g - 32) - g + 0 + 0).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 789, 1212, 1659, 2136?\nAnswer: 2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1 (c) -1 (d) 1\/1310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sog when three letters picked without replacement from {s: 3, e: 4, m: 5, g: 1, i: 1, o: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2936*z**2 - 208*z - 1320. Let s be n(-132). Round s to the nearest one hundred thousand.\nAnswer: 51200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202122 + -2021?\nAnswer: -1211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48594 divided by -3471.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856b (base 12) in base 15?\nAnswer: 17b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 3*l = 8*c - 170, -l = 420*c - 207*c - 209*c - 42 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4138 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 150*z - 495. Let l(s) = 20*s**2 + 752*s - 2478. Let h(f) = -3*l(f) + 14*w(f). Factor h(c).\nAnswer: -4*(c - 3)*(c + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 13684*q**4 - 6*q - 13807*q**4 + 27579*q**4)*(-q - 3*q + 5*q) + (2*q**4 - 5*q**4 + q**4)*(2 - 2 - 2*q).\nAnswer: 92*q**5 - 2*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3733994090 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8474596 and -0.3?\nAnswer: 2542378.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622425987?\nAnswer: 3, 59, 257, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 + -1.33. Which is the smallest value? (a) y (b) 0.1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**2 + 1. Let x(j) = 11*j + 0*j + 10 - 23*j + 5*j. Let d(h) = -20*h + 28. Let r(v) = -5*d(v) + 14*x(v). What is z(r(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/8 of a week?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55918.\nAnswer: 2, 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 2*a + 2. Suppose 0 = z + 7*z - 16. What is i(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 8)*((-3 + 3 - k)*(0 - 1 + 0) + (-2*k + 3*k - 41*k + (3 + 1 - 5)*(1 - 1 + k))*(-4 + 5 - 3)).\nAnswer: 996*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/195824 and 69\/195824?\nAnswer: 195824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:40 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 108 - 98 = 2*c, 0 = -4*c + 105*w + 844 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 541894065 equal to 541894066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 647360 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjc when three letters picked without replacement from ppchj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314 + 447. Let s be 14\/(-10)*(-38)\/q. Suppose 2*j - 1 = 5*h - 6, -2 = -2*h + 3*j. What is the nearest to s in h, 2\/11, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 17154105.\nAnswer: 17154105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:05 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k + 43. Let a(s) = s - 9. Let v(p) = -4*a(p) - g(p). Let r(q) = q - 1. Give 6*r(h) - v(h).\nAnswer: -7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 - 26 = 55*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x + 13. Let b(w) = 8*w + 12. Let h(z) = -4*b(z) + 3*f(z). Determine h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q**2 + 10*q**2 - 7*q**3 + (-q**2 - q**2 + q**2)*(-5 + 5 - 2*q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/10)\/j)**(-48))**0\/((j*j*(j*(j\/(j**(-1\/5)\/j))\/j*j*j*j*j)\/j*j*j**(2\/17))\/((j*j**(-2\/7))\/j)**(-13)) assuming j is positive.\nAnswer: j**(-2739\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 11 (d) 1.1 (e) 335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5241*s - 5111*s + 2693 = 21413 for s.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 468 = 36*z. Let j be (1 - 0) + 9 + 3. What is the greatest common divisor of j and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165578 + -2?\nAnswer: -165581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + -12*2\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 8, 867 in increasing order.\nAnswer: -8, -4, 3, 8, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)*q**23)\/((q**(-4\/5)*q*q)\/q)**(-3\/22) assuming q is positive.\nAnswer: q**(553\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5048 is divided by 722.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-36))\/((-8)\/24) + (-34)\/52. Let c = -4 - -7. Let x = 20 + -24. Put x, l, c in increasing order.\nAnswer: x, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let b = k + 4. Suppose 0 = -x - b*x + 17. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*j + 386*j - 819*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -110\/2575137?\nAnswer: -110\/2575137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - v - v + 2 + 2*v - 2 + 0*v + 5*v - 4*v - 2*v + 3*v + v + 2*v + 0*v - v + (1 + 2 - 5)*(-2*v + 4 - 4) + 0*v - v - 4*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54796 is divided by 4981.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 1574850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 6. Suppose -5*j = -4*o + 26, 4*j + 0*j + 37 = 5*o. Let y be o\/4 - z\/4. Solve y*t = 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 c when three letters picked without replacement from mmmwmmmccefwtmm?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/1584 + (-2)\/11. Put -1, 0, -5, b in decreasing order.\nAnswer: 0, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 8*u**5 + 17140*u**4 + 162232*u**3 + 264368*u**2 - 264576*u - 179172 = 0.\nAnswer: -2133, -7, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828 and 620044.\nAnswer: 128349108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169259230*k**6 + 3*k**2 - 192133*k + 139?\nAnswer: 20311107600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42006044465.35 and -5?\nAnswer: 42006044460.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*y + 100, -18*y - 3*d = -14*y + 91. Sort y, -5, -3 in decreasing order.\nAnswer: -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:38 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 851.\nAnswer: 85.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 1412?\nAnswer: 148260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 4*p + 2. Let t(c) be the first derivative of -c**3\/3 - c**2\/2 - c + 1922. What is -o(k) - 4*t(k)?\nAnswer: 2*k**2 + 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 + 616 = -2*z, 4*h = 5*z - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 + (3 - 2)). Suppose 5*c + d*w = -2*w + 128, -4*w = 5*c - 126. Calculate the highest common factor of 52 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 67727618.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7144, 7730, 8316?\nAnswer: 8902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:55 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 1074*y - 4325. Let k be f(-4). Solve k*w + 3*l + 30 = 0, -30 = 5*w + l - 0*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23513 - -24?\nAnswer: 23541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/99)\/((-124)\/1023)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*h + 0*h - 10*h + 6*h to g*h + j and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 + 800172*r**2 + 1600341*r + 800170 = 0?\nAnswer: -800170, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*r + 6, r - 3*j = -3*r + 21. What is the first derivative of -l**3 + l**3 + l**r + 9 - 8 wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 + 7 = 0. Let l = 29 - 32. Put -4, l, u in decreasing order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 - 5?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.3 + 12. Let n = 7.1 - 7. Let d be ((-15)\/8 - -2)*(5 + -7). Which is the nearest to n? (a) 1 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001001011 + 1111001?\nAnswer: -10101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.17 - -25.57. Which is the fourth smallest value? (a) -1 (b) k (c) 2\/11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = -21*r + 24. Let j be (r\/5 - 10\/(-25))\/(-2). Solve 0 = -j*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 41. Let o = -11 + w. Let v = o + 8. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 97*z. Let y(d) = 5*d**2. Give y(g(p)).\nAnswer: 47045*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-48)\/15)\/((-4)\/400). Let s(l) = 1 + 21*l**3 + 2*l - v*l**3 + 58*l**3. Give s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {b: 1, m: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.781682+1.94\nAnswer: -1.841682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*c + 5*d - 118, d = -c + 33. Suppose 3*n = 4 + c. Let k(x) = -5*x**3 + 2*x**2 - 11*x - 31. What is the remainder when k(-2) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 7*o + 4. Suppose 123 = -2*r + r + 2*c, 15 = 3*c. Calculate the remainder when 4\/10 - r\/5 is divided by g(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380576?\nAnswer: 2, 11, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54032, 108138, 162234, 216320, 270396, 324462?\n\"Answer: -5*i**2 + 54121*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 19837344.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/120 - b**5\/60 - 13*b**2. What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 - 9*b - 14. Let x be t(-6). Suppose r = 2*d - 8, -5*r - 5*d + 27 = -x*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.29, -4, 4, -11, -1\/10 in decreasing order.\nAnswer: 4, 0.29, -1\/10, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, d: 4, s: 1, x: 1, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 11:04 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b + 8 - 8)*(0 - 2 + 1 + (5 - 5 - 1)*(-2 + 0 + 7) + (-2 - 1 + 5)*(4 - 6 + 0) + 0 - 1 + 2) to the form k + t*b and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -27719577\nAnswer: 8\/27719577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 + 410*i**3 - 47834*i**2 - 10174010*i + 10221432 = 0. Calculate i.\nAnswer: -181, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/7 - 31812*x - 222680\/7 = 0.\nAnswer: -55670, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*h + 21, 8 = -37*p + 33*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 6 = 0. Let q(n) = -19*n - 3. What is the units digit of q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523286 take away -0.1?\nAnswer: -523285.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:14 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -33. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -884*p**6\/3 + p**3\/3 + 239*p**2\/2 + 1080. What is the third derivative of c(s) wrt s?\nAnswer: -106080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b**2 + b - 1. Let t = 4 + -3. Let w be z(t). Let u = 21 - 19. Solve -4*h - u = -s - w, 0 = -3*h + 5*s + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43247604 (base 8) to base 9.\nAnswer: 18374544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/(-20))\/((-2)\/(-8)). Suppose -5*z = -20, 7*i = 3*i - 4*z. Sort g, 5, i.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13504 - 6040. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21 + 0*s + 13 - 3*s + 0*s. Calculate the remainder when q(-12) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8)*9)\/(3*5\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6518057, -13036090, -19554125, -26072162, -32590201, -39108242, -45626285?\n\"Answer: -g**2 - 6518030*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let i(a) = a**2 + 10*a - 16594. Determine i(s(n)).\nAnswer: n**4 + 10*n**2 - 16594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 14 = -5*x, -4*x + 2*x = -t + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2263 + -1231. Suppose 13*m - 5*m = v. Let d be (3 - (m - 4))*250. What is d rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 30*x - 149. Suppose -3*d - 46 + 121 = 0. Suppose -3*g + 0*n + 119 = 4*n, 0 = g + 5*n - d. What is the remainder when g is divided by m(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-8 + 3 + -2118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4704 and 4228161?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:46 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 7 + 7)*((-5 + 5 + 3)*(2 - 7 + 3) - 3 + 2 + 2 + 3670 + 5252 - 10942).\nAnswer: 8100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.427.\nAnswer: 0.1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**3 + 0*w**2 + w**4 - 3\/4*w**5 + 1\/10*w**6 + 36*w + 0. Factor p(u).\nAnswer: 3*u**2*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 421*d**2 + 10*d - 125*d + 1048*d**2 - 7*d - 10*d wrt d.\nAnswer: 2938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - 2)) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -8, -1, -2, 442 in descending order.\nAnswer: 442, 2, 0, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 272271.\nAnswer: 272270.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-5)\/1 + 1*4. Factor 611 + d + 4*d**3 + 2*d**2 + 2*d**2 - 3*d**b - 617.\nAnswer: (d - 1)*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53461, -53444, -53425, -53404, -53381, -53356, -53329?\nAnswer: -53300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 535 and 73.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) -1.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -2*w**3\/3 + 7*w**2 + 10*w + 1. Let m be k(7). Let r = m - 8. Solve -r*h = -3*b + 2*b - 1, 4*h = 3*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-18)\/b**(1\/7) assuming b is positive.\nAnswer: b**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13296\/(-554)*((-3)\/(-15))\/(2\/(-5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329968 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6061182648?\nAnswer: 2, 3, 43, 5873239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1331)*-1 + -1) - (0 + sqrt(1331) + -2 + sqrt(1331) + sqrt(1331)*-2*2)) + -1)**2.\nAnswer: 44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -522221*d + 22. Let n be u(-18). Suppose -9*i - n = i. Round i to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 14*s**2 - 5*s + 21. Let m = 173 + -168. Is j(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = x + 262, x = -n - 3*x + 74. What is the remainder when n\/(0 + (-6)\/(-3)) is divided by (3\/(-6))\/(1\/(-34))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/91 - (-1551)\/77. Solve -3*f + 26 - l = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7935*i + 119365. Calculate c(-15).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 + 2*t**2 - t - 1. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 5372.\nAnswer: 5372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 703\/407 - 3\/(-11). Solve 4*w + p = -18, 4*k + 4*w = -28 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.3. Let j = -1.2 + 1.4. What is the closest to 0 in f, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ccb6 (base 15) to base 5.\nAnswer: -2341441","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s*s*s**(11\/5))\/(s**(-17))**(-4) assuming s is positive.\nAnswer: s**(-324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17 - 7*p**2 + 17 + 31*p**2. Let f(c) = c**2. Calculate f(q(b)).\nAnswer: 576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3*n = 288. Let t be 12\/(-9) - (n\/(-6))\/2. Let j(x) = 4 - 2 - x + 0. What is j(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 - 192*m**3 - 77*m**3 + 5*m**4 - 3 - m**4 + 3 + (-m**3 - 5*m**3 + 2*m**3)*(0*m - 5*m + 4*m).\nAnswer: 5*m**4 - 269*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 23. Let x(i) = -1 - c*i**2 + 0 + 8*i**2. Let r(w) = 11*w**2 + 3. Let d = 985 + -979. Determine d*r(l) + 17*x(l).\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-2)\/(-32)). Let n be -9 + 1*1\/(-1). Let h be j\/n*1\/2. Which is the nearest to h? (a) 2 (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + t**2)*(0*t + 2*t + 0*t) - 26*t**3 + 20*t**3 + 21*t**3 + 0*t**3 + 0*t**3 - t**3 + t - t + t**3 + (-4 + t**2 + 4)*(-6*t + 2*t + 3*t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*b - 8687 - 10717 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 + 32*f - 96 = 0. What is f?\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snsnnnnkuysn. What is prob of sequence yk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + t - 7 = 16, -3*j + 43 = 5*t. Calculate the greatest common divisor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 121*w**3 + 2*w**2 + 8*w + 5. Let r be y(3). Let t = r - 1651. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-52\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88926790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.0273?\nAnswer: -0.001092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 6765332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (10 - 5) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -512686, -512404, -512122?\n\"Answer: 282*y - 512968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -300 + 299.9626. Round m to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1710259*g - 12 - 2*g**2 - 2*g**2 + 1710179*g to the form i*g**2 + w + n*g and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17372, -34928, -52484?\nAnswer: -70040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + (-46)\/8. List the prime factors of (-4)\/z*3*10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 686528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-12) + 6)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.10550167 or 0.017?\nAnswer: 0.10550167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11552659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 90320 in decreasing order.\nAnswer: 90320, 21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 394, 401, 408, 415, 422, 429?\n\"Answer: 7*c + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 2*o - 4303 + o**2 + 2003 + 2161 to the form h + d*o + g*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) 6 (c) 5 (d) 0.13 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-54))\/((-8 - -6)\/(2*6)). Let s be 2\/5 - 51\/165. What is the smallest value in 4, -2\/7, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - -6)*(2 + -1). Let i(d) = -d**2 - 8*d - 6. Let o(w) = -2*w**3 + 2*w**2 - 1. Calculate the smallest common multiple of o(-1) and i(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610574*b**5 + 195981*b wrt b?\nAnswer: -12211480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - (5 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 5*m + 88. Let w = -2 + m. Suppose 2*c - 36 = -0*c. What is the remainder when w is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 = 3*i - 8*i, -4*i - 41 = -3*n - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3789 - 3775. Calculate the remainder when 14124 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14859103 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v - 1. Let m be w(2). Find the second derivative of -4*b + 6*b**5 + 2*b + 2*b - m*b wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 70 + 57 = x, 132*k - 5*x - 950 + 9143 = -2*x for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/((-4)\/(-18)*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6602670 and 62\/5502225.\nAnswer: 33013350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose -3*u + 21 = y*t, 5*u + 3*t - 28 = 2*t. Solve q - 16 = u*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741.31 + 23068680.\nAnswer: 23067938.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let l(s) be the second derivative of -s**3 - s**2 + 13*s. Let y be l(-1). Solve -v + 2*f = -2, k = y*v - v - 4*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 512\/51 - 90416\/8925. What is the common denominator of -12\/5 and l?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*q + 73 - 2*q - 3*q - 74 to the form c*q + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327449*w**2*x**3 + 2*w**2 + 3932*w - x**2 wrt x.\nAnswer: 1964694*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-5)\/48*-4*4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-13) - (-2)\/2 - (261 + 236460\/(-780))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u - 3. Let a be z(1). Suppose -a = -5*m + 5*q, -5*m + 2*m - 2*q = 3. Calculate the highest common divisor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:51 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -24555022?\nAnswer: 24555016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 791 and 77.\nAnswer: 8701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1111421172 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*n + 295. Suppose -154 = -d - 25. Let q(t) = n + t - d. Let c(j) = 5*j**2 + 2. Determine q(c(r)).\nAnswer: 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) 3 (d) 451 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t + 22*t - 13*t. Let p(s) = 65*s - 2. Give z(p(v)).\nAnswer: -130*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3)*m*m*m*m\/m**(-2\/7)*m**(2\/11)*m**(-9\/5)\/m)**(-2\/157) assuming m is positive.\nAnswer: m**(-4622\/181335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 41. Let a be 1\/3 + 139\/(-3). Let c = a + l. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1211020112?\nAnswer: 1211020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 2*x**2 - 7*x - 1. Let p be -1 + 0\/3 - -5. Let h be s(p). Suppose -2 = -u + h*u, 19 = 2*k - 3*u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = -133*c - 1039 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 400\/17*f - 2\/17*f**3 + 20\/17*f**2 + 0 = 0.\nAnswer: -10, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*c - 26, -7*c + 3*c = 2*n - 20. Sort -5, n, -27, -7 in ascending order.\nAnswer: -27, -7, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6588 divided by 6\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-1\/11)\/(p\/p**(-1))**(-1\/30) assuming p is positive.\nAnswer: p**(37\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 - 27*i**2 - 4*i - 86. Give t(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/4 - (-2)\/4. Suppose 0 = 15*p + 16*p - 62. Solve -3 - p = -m*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose 3*a - 3 + 0 = n. Determine p, given that 3*p**4 + 0*p**5 + 38*p**3 - 40*p**3 + p**2 + 3*p - a - p**5 - 3*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(5292\/(-34734)) - (-580)\/203?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3*(-6)\/211). Let f = z - 23\/2. Let u = 0.1 + 0.9. Put f, 2\/5, u in decreasing order.\nAnswer: u, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5123, 5125, 5127, 5129, 5131?\n\"Answer: 2*g + 5121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 11*g**2 + 14*g + 15. Give x(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -168212 (base 10) to base 12\nAnswer: -81418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkmkmkmmkmmkkmkmmk. What is prob of picking 2 m?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 h when four letters picked without replacement from {m: 3, h: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b + 270981 + 467498 = 150528. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - v**5 - 4*v**5 + (-30*v**4 - 69 + 69)*(4*v + 0*v - v) + (-v + 1 - 1)*(v**4 - v**4 - v**4).\nAnswer: -90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 4. Let i(l) = 112*l**3 + 3*l + 13. Determine 2*f(h) - i(h).\nAnswer: -112*h**3 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 38*u + 80 = 34*u, 5*u = -2*b - 32 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17856)\/(-256) - 41) + 18\/8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80220 greater than or equal to -80218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -11*l - 2 - 6. Sort 265, 0, 3, l in decreasing order.\nAnswer: 265, 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*q + 3*q. Suppose -q*b + 6*b = -2*h + 52, -116 = -4*h - b. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41229180 to the power of 1\/2, to the nearest integer?\nAnswer: 6421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000068565 to 6 decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 9 = 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p\/p**3))\/p)\/(p*p**16) assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 7 = -37 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.94 - 0.06. Let s = -3218\/7 - -460. Let j = -131 - -128. Sort j, c, s, 0.3 in ascending order.\nAnswer: c, j, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*c**2 - 303*c**2 + 33*c**2 - 18*c**3 + c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.037465?\nAnswer: 0.337465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 348*a - 3578. Let i be f(-10). Solve -5*j - 4*k + i*k = -28, -16 = j - 5*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.107432 to 1 decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7365 (base 9) to base 5.\nAnswer: 133110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*n - 55 = -2*n, -3*p - 2*n = -185. Let y = 65 - p. Let a(z) = -2*z - 9. Let o(r) = 2*r + 10. Give y*o(h) + 7*a(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109737 is divided by 27097?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b42 + 4?\nAnswer: -3b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.89 - 2.29. Let b = -251\/3 - -85. Suppose -4*r = -r - 3. Put o, b, r in descending order.\nAnswer: b, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -56*z**2 + 1355*z - 249. What is r(24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = -8. What is the second derivative of -2*n**4 + 0*n + 5*n**4 - 2*n**4 - p*n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (113\/(-2) - -1)*72\/(-27). What is the third derivative of j + 24*j**2 + 254*j**3 - z*j**3 - 110*j**3 - 151*j**3 wrt j?\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + 0\/(-1). Let c(v) = 14 - v - 69 + 65. Give c(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 - 64 = -149*v + 24*v. Let z(n) be the second derivative of -1\/78*n**v + 0 + 1\/13*n**2 + 0*n**3 - 8*n. Determine h so that z(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 78 + 17 + 15 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8848.852 micrograms?\nAnswer: 8.848852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**14*l))**(-42) assuming l is positive.\nAnswer: l**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/((-10)\/15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, 0, -2, -5, -8, 25 in decreasing order.\nAnswer: 25, 0, -2, -3, -5, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 2\/23, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39406986 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**2 + 26*j + 45. Let m be v(5). Is m less than or equal to -2\/1555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -25, -p - 4*b - 6 + 28 = 0. Suppose -4*i + 3*w + 57 = 0, 0*i - 3*i + 3*w = -p. Suppose 4*x + x = i. Solve x*u + 2 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1)\/3*(-28)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s. Suppose s = x - 4 - 5. What is the highest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805875 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10269092*d**4 + 3*d**3 + 2*d**2 - 43650050 wrt d.\nAnswer: 246458208*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87771, -169793, -251815, -333837, -415859?\nAnswer: -497881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/x**0)\/x*(x\/x**(-5))\/x*x**(1\/4)*x**(-2\/3))\/(((x**(1\/2)*x)\/x)**(-3\/34)*(x**0\/x)**(-50)) assuming x is positive.\nAnswer: x**(-2212\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645932.\nAnswer: 2, 7, 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 - -4447\/19. Let v = u + 1005\/38. What is the common denominator of v and (642\/135)\/2*(-45)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-2 - 0)) + (1503 - 1505).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guxxuxxxxxxxxg. What is prob of sequence xuxg?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = 22*o - 100*o - 160. Solve o - 1 = 4*p, a + 7 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 69. Let h be (-24)\/(-1) + (-1)\/4*4. What is the highest common divisor of z and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13770\/(-380))\/153)\/(1\/4*6).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -463 + 61. What is the hundreds digit of (-3 + 15)*(f\/(-8))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c. Let q(i) = 300*i**2. Give q(z(y)).\nAnswer: 24300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1539) + 2 + (-5 + (sqrt(1539) - 2*sqrt(1539)) - sqrt(1539)) + (2*(sqrt(1539) + 1) - sqrt(1539)) + (sqrt(1539) + 0)*-1)**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53\/5 (b) -21 (c) 8\/161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/52629581 and 83\/1956490?\nAnswer: 526295810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 5*l**4\/24 + 14*l**2. Let m(p) = -3*p - 2 + 2 + 7*p. What is f(m(k))?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12504 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 3*o + 6. What is the units digit of u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -j + 5. Let p be (-6)\/(-24) - (-3)\/j. Suppose p = 3*g - 5*x + x - 50, 0 = -5*g - 4*x + 94. Solve -g = 4*c + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5076\/(-126))\/141)\/(6\/14)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coanornayarayonyyrao. What is prob of sequence ann?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -4 (c) 2\/15787 (d) -0.4 (e) -34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-225)\/(-35) - 6)\/(-1))\/((-1)\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 189063*q**2 - 34 + 604074*q**2 - 31.\nAnswer: 793137*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -27*y + 26*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkqkkkkkqkkkkk. Give prob of sequence qk.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(7\/5)\/x)*x)*x*x)\/(x**2*x)*((x\/(x*x\/((x*x**(-5\/2))\/x)))\/x)\/(x*x**(1\/11)*x*x) assuming x is positive.\nAnswer: x**(-901\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 5. Calculate x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 - 8 = 2*j, 4*j = 4*s. Let r be -7 + (-2)\/j*4. Let o = 0.5 - 0.7. Which is the nearest to -2\/7? (a) 0.3 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 354.3386 and -7056.5.\nAnswer: -6702.1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k - 25*k - 83910 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360311?\nAnswer: 3, 31, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7619 (base 14) in base 5?\nAnswer: -1123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/540 + v**5\/18 - v**4\/108 - 5*v**3\/9 - 3*v**2 - 2*v. Factor t(b).\nAnswer: 2*(b - 1)*(b + 1)*(b + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-162)\/(-39) - 8\/52. Suppose -4*t - c*p - 6 = -18, -p - 12 = -2*t. Suppose t*i + 254 = 1549. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6451*p. Let h(d) = -d**2. Give v(h(s)).\nAnswer: 6451*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 13. Let t be (-4)\/i + (-42)\/(-63). Suppose -5*o + 5*x = 98999990, -2*o - 3*x = t*x + 39600010. What is o rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 737 - 697 = 0. Let h(d) be the third derivative of 1\/8*d**4 + 0 + 0*d + z*d**2 - 1\/6*d**3. What is h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-6)\/m)\/m*m)**(1\/19)*(m**(2\/5))**(1\/9))**(-3\/5) assuming m is positive.\nAnswer: m**(277\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 1\/13, 74, -0.4, 4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86870155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. What is the remainder when n is divided by (4\/1 - 1)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34911065 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - 0. Let u = r - -236.9392. What is u rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 26*a**2 - a + 15. Let w be l(13). Solve w*k + 3*k + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 230 + 75. Let n = -35 - z. Suppose -10 = -4*a - 4*d + 6, -2*a + n = -4*d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyslyocsocyoooocclly. Give prob of picking 1 s, 1 c, and 1 y.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 188. Let l be i\/2*(-9 - -5). Let u = l - 90. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 10:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/12 - 7*a**3\/2 + 45*a**2 + 7*a + 96. Factor t(y).\nAnswer: (y - 15)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -143*j + 35624. What is the highest common factor of j and 1647?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 3*s + x = -30, 0 = -x - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 0 - (-2296 - -35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -151, 3 in decreasing order.\nAnswer: 3, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let v(n) = 64*n. Give h(v(p)).\nAnswer: -64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(1 - 4 + 1)*(0*h**5 - 4*h**5 + 3*h**5).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 3, l: 5, u: 1, o: 1}. Give prob of sequence lxox.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**3 - 23*x**4 + 43*x**4 - 17*x**4 + 11*x**3 + 12*x**2 + 8*x**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -62\/11 (b) 0.4 (c) -3\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - a91b4b2?\nAnswer: -a91b4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 60 + 4. Calculate the highest common divisor of 64 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43*-3*(-1)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -1. Suppose 5*o = i - 22, 16 = r*i - 7*o + 4*o. Find the second derivative of 0*d + d - i*d**3 + d wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 18136*s\/7 + 41114312\/7.\nAnswer: 2*(s + 4534)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -76, -125, -162, -169, -128, -21?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9586463 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470 is divided by 604?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/4)\/(10\/(-20)). Let r = -5 + 15. Suppose 70 = n*c - r. What is the remainder when 31 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 - 1138 + 1138.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.5948um to centimeters.\nAnswer: 0.07445948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) -25 (c) 6579 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rrrrrrrrqrrrqsqsqrq?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1.5. Let x = 0.11 + -0.31. Sort -1, x, a.\nAnswer: -1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 19*m + 28*m + 122 - 62*m + 35*m + 22*m.\nAnswer: 42*m + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6, 5*g = n - 2*n - 9. Calculate the least common multiple of n and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from lzwglwldwwggg?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 2, 4 in decreasing order.\nAnswer: 5, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -113, -0.3, -33, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445 - 1?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318974 and 14.\nAnswer: 2232818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/330*25*(72\/(-15))\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:50 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 223422 = 3*w, 2*k = -6*w + 3*w + 89376. Suppose 14682 - k = -s. Suppose -4*q = -q - s. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + 8 + -47 + (2 - 12) + 4 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 2)*(1 - 1 - 1)*(-1 + 4 + 23).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-16))\/(3\/54*3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 3*r - 15)*(-r**2 + 6*r**2 + 2*r**2) + 4*r**3 + 1 - 1 + 2.\nAnswer: 25*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 + 10*v + 14. Let i be o(-5). Let h = 341 - i. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1292, -1135, -980, -827, -676, -527, -380?\n\"Answer: -s**2 + 160*s - 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d - 3*y = -3, 2*y - 16 = -3*d. Let c be 6\/(-4) + 9\/6. Solve -3*m + 12 = c, -6*j = -j + 4*m - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-14\/11)*(f**2*f)**(1\/29) assuming f is positive.\nAnswer: f**(-373\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1252014 and 3195?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20*(-30)\/(-168). What is the closest to 0.1 in k, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665037 to the power of 1\/2, to the nearest integer?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 10573?\nAnswer: -10615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -4\/5, 4048, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -19862 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 1 - 44. Solve 2 + 3 = y*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/9282*186\/(-155).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-16)\/(-24). Solve -5*t = -n + 3, -3 = -n + 2*t - d*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 3. What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 1369?\nAnswer: 78\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1\/4*t**4 + 1\/3*t**3 - 1\/2*t**2 - 5*t - 17. Suppose -20 = -s - 5*m, 5*s = -m + 1 + 3. Give g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 + 851960*w**2 - 1703905*w + 851950 = 0.\nAnswer: 1, 170390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - u**2 + u. Let y be o(-2). Let k = 37 - y. Suppose k - 13 = 3*w. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 304*a**2 - 6371*a + 3675. Calculate s(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 7)*7*-1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-505 + 2095 + 1852)*(-3*f**4 + 0*f**4 + 2*f**4) to the form u*f**2 + k*f**4 + v + s*f + b*f**3 and give k.\nAnswer: -3442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 2*x + 0*x)*(x + x - x) + (x**2 - 6*x**2 + 2*x**2)*(-2 + 1 + 3) + 16 + 33*x**2 - 16 to the form w*x**2 + a*x + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 690 = -g + 651, -4*v - 6743 = -5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275.004694 - 275. Round y to four dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14401, -14380, -14345, -14296, -14233, -14156?\nAnswer: -14065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (12 - 0) - 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20904, -82806, -185976, -330414?\n\"Answer: -20634*k**2 - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 9) in base 13?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -0*h - 3*h, 0 = -z - 3*h + 11. Solve -z*l = 2*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 - 2*s**3 + (-s - 1 + 3*s - s)*(4*s**2 + 1 - 1).\nAnswer: 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:01 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*t + 1727 - 1447 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1) + 1 + 588\/(-146). Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n**2 + 3*n**3 + n**3 - 3*n**3 + 0*n**3.\nAnswer: n**3 - 56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 26. Find the second derivative of s*l**4 + 1 + 4*l**2 + 338*l - 4*l**2 - 289*l wrt l.\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207803969.\nAnswer: 3, 134200441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 11*j + 4. Let m be a(3). Let h = m - -54. What is the second derivative of 21*i + 23*i + h*i**3 + 20*i - 52*i wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 + 1718*m - 204. Determine d(-191).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 122*g + 113*g - 237*g + 160, -820 = -5*g + 20*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 4, o: 10, l: 1, h: 3}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/9 + 17*r\/9 - 2 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 4231479?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w**2. Let t = 535 - 533. Let p(f) = -5 + 2 + 3 - 4*f**t + 0*f**2. Give y(p(j)).\nAnswer: 784*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (-8 - -8) + (5 - 5) + -12.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 - 81*s**2 + s**2 + 7*s**3 - 38*s**2 - s**4 to the form l*s**2 + n + m*s + o*s**3 + v*s**4 and give l.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:06 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) - (sqrt(112) + -3)) + 2 + sqrt(112) + -2 - (0 + 4*-1*sqrt(567))) + 5)**2.\nAnswer: 704*sqrt(7) + 13616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3\/7 - 32*z**2 + 7450*z\/7 - 77500\/7 = 0.\nAnswer: 25, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1118, 2233, 3346, 4457, 5566, 6673, 7778?\n\"Answer: -h**2 + 1118*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1027, -1041, -1053, -1063, -1071?\n\"Answer: g**2 - 17*g - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 348021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:26 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-28))\/(2\/(-35)). Suppose 0*d = -5*d + k. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -u - 5*j - 40, j + 59 = -u. Let f = u + 73. Let v be (-3 - (-4)\/12)*(-12)\/f. Solve -4*o - v = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*7)\/2)\/(576\/576)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 2. Let k(x) = -x**3 + 7*x**2 - x + 3. Let g(q) = -4*q**3 + 22*q**2 - 3*q + 8. Let n(d) = 2*g(d) - 7*k(d). Is 7 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -7. Suppose -3*r - 2*y = -3914, -5*y - 8801 = -h*r - 3590. What are the prime factors of r?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 849*i**2 + 4*i**3 + 3 - 4 - 2*i - 2 - 852*i**2. Let c(q) = 15*q**3 - 13*q**2 - 4*q - 13. Determine -6*c(m) + 26*u(m).\nAnswer: 14*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 21. Let f = -17 + v. Which is the third biggest value? (a) 2\/21 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 112. Let s = 2801 + -2745. Is s > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 2593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3 - 7) + 3. Let t(p) = -3 - 2*p - p - 3 + p**2. Is t(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*l**2*z**3 + 623737*k*l*z**2 - k*z**3 + 4*k*z**2 + 13261 with respect to l.\nAnswer: 4*k*l*z**3 + 623737*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from dudkikkikkhhiiikkk?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -606 - -293. Let y = b - -320. What is the remainder when y is divided by (1\/(-1))\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -h + 94, 2*h - 132 = -p + 12. Let t = h - 119. Let l be -12*(0 + t\/(-1)). Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*z - 20, -4*z = -0*z - 4*b + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 5*v**2 + (3*v - 3*v - 2*v)*(-2 - 2*v + 2))*(432*v + 144*v**2 - 432*v) + (-2*v**3 - v**3 + 4*v**3)*(6 + v - 2*v - 3).\nAnswer: 431*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(152) - (sqrt(152)*1 + sqrt(152))*1)*-3)\/(-5*(sqrt(968) + 2*sqrt(968) - sqrt(968))*4).\nAnswer: -3*sqrt(19)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121\/2 + -60. What is the nearest to 0.1 in x, -6, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-539)\/175) - (-6)\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v = 22*v + 64962207. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160925 (base 10) to base 12\nAnswer: 79165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m + 8. Does 17 divide ((-228)\/m)\/1 - (-6)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, -0.5, 2, 0.4, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from usulsuussslppprvsv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6028570*o**3 + o**2 - 120009756 wrt o?\nAnswer: 18085710*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.3 - -36.692. What is h rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*n**2 + 2*n - 2*n - 178*n**2.\nAnswer: 620*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**3 + 18*k**2 - 27. Let j(v) = -7*v**3 - 21*v**2 + 25. Determine -4*j(q) - 3*n(q).\nAnswer: q**3 + 30*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -88. Let a(q) = 2*q + 156. What is the remainder when a(-40) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.349 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5884 - 2344 + 545 + 5882*r + 2254*r + 1381*r with respect to r.\nAnswer: 9517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3 + l**3 + 129*l - 2*l**3 - 34*l - 45*l to z*l**2 + o*l**3 + d*l + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305242173?\nAnswer: 3, 1193, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -62614 (base 7) in base 8?\nAnswer: -36045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.6734?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - g = -2*g, 0 = -g - 5. Sort d, 3, 2, -4 in decreasing order.\nAnswer: d, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.35004 months in millennia?\nAnswer: 0.01477917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 + 2?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2391533 divided by 210\nAnswer: -2391533\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.27 and 43060262461.\nAnswer: 43060262460.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70883\/50052 + -2\/4171. What is the common denominator of (3\/(-12))\/(3\/214) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/35)\/(2\/100). Let d be ((-4)\/b)\/(4\/70). Which is greater: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 2051. Let m(q) = 3*q. Give f(m(t)).\nAnswer: 6*t - 2051","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z - 200 - 46*z - 5*z**2 - 4*z.\nAnswer: -5*(z + 5)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 4*s + 12, 4*s + 18 = -r. Let u(l) = -l**2 - l + 1. Let q(t) = -8*t**3 - 11*t**2 - 11*t + 11. What is r*q(p) + 22*u(p)?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91571102 to the power of 1\/2, to the nearest integer?\nAnswer: 9569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.239 and 3.2?\nAnswer: 2.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7989 from -21.1.\nAnswer: 7967.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = m + 2*r + 2, -4*m = 4*r - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o**2 + o + o)*(-16*o**2 - 350*o**2 - 4*o**2)*(-o + 0*o + 4*o)*(-1 + 4 - 1).\nAnswer: -2220*o**5 - 2220*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917461 to the power of 1\/2, to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 470, 492, 536, 608, 714, 860, 1052?\n\"Answer: s**3 + 5*s**2 + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 235 = -5*s - 0*s, -59 = -s - 3*d. Let u = 95 - s. List the prime factors of (-16 - -2)*u\/(-18).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 + 2*u**2 + 289 + 3*u**2 + 4*u**2 - 54*u. Let w be p(6). Is w != -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c**2 - 18*c**2 + 121*c + 46*c**2 - 10*c**2 to r*c + f + o*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + k = -473501, 73*f = 68*f - 4*k + 473496. What is f rounded to the nearest one thousand?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10145512 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260 (base 11) to base 12.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*c + 5*z, 2*z + 2*z = -c - 1. Let i be ((-2)\/(-6))\/((-1)\/9). Sort c, i, -1 in ascending order.\nAnswer: i, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - 3*i**4 + 0*i**4 - 5*i**3 + 5*i**3 + i**4 + (0*i**3 + 0*i**3 - 2*i**4)*(1 + 1 - 1) + 2*i**4 + 0*i**4 + 0*i**4 - 2*i**4 + 6*i**4 - 2*i**4.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4602411033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1933723?\nAnswer: -3\/1933723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 3. Let j be b(4). Suppose 5*x + 26 = 3*o, 0 = j*x + 33 - 13. Calculate the remainder when 89 is divided by (-5 - -8)\/(o\/12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 - -102?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 533270 divided by -533270?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - -2)) + -2 + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + (0\/3 - 1). Suppose -3*g - 3*f - 3 = c, -8 = 5*g + f. Let l = -35\/87 - -2\/29. Do l and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-152)\/2432)\/(9\/6 - 1). What is the nearest to 1 in j, 1.8, -31?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -44. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -1078, -3954, -9636, -19060, -33162, -52878?\nAnswer: -79144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**4 + 7*g**3 - 22*g**2 + 6*g - 6. Let f(z) = 2*z**2 + z - 5 + 3 - z**2 + 3. Let m(v) = 6*f(v) + x(v). Suppose m(h) = 0. Calculate h.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -59*z**2 + 238*z - 5. Let w be v(4). Let g = 5\/26 - -4\/13. What is the second biggest value in 2\/15, 1\/4, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 45. Suppose -5*d - 3*g + b = 0, -d + 7*g + 31 = 2*g. Let y(r) = -6 + 4 - r + 2. Let w(j) = -9*j. Give d*y(i) - w(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 8. Let u be g(10). Let z(a) be the first derivative of 1 - a**4 - 1 + 6*a**u - 4*a**2 - 7. What is k in z(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - y**2 + 2*y - 3. Let g(z) = 7*z**3 + 2*z**2 - 4*z + 5. Give -5*b(m) - 3*g(m).\nAnswer: -m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -2.76?\nAnswer: -3.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + 20125?\nAnswer: 20043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (1 - (12 - -5 - 25))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7498 + 9068 = 842*l - 3642 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 42. Suppose -d*l - l + 5 = 3*r, -5*r = 5*l - 5. Sort l, 3, 4 in descending order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 52*w - 112.\nAnswer: 2*(w - 2)*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16765319 rounded to four decimal places?\nAnswer: -0.1677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 + 2*o**2 - 10*o - 3. Let j(z) = z**3 - z**2 - z - 1. Let y(x) = -a(x) + 4*j(x). Let g be y(-7). Solve -2*b + 5*b + g = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by 218\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 613 + -1?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.5 + 0.404.\nAnswer: 7.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 4, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 911 + -52?\nAnswer: 86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 63432 = -2*k - p - 63493, 4*p = 5*k - 55 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 7*y**2 - 7*y + 9. Let n be p(6). Suppose n*z = -0*z + 114. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239772 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72457, 72444, 72421, 72382, 72321, 72232, 72109, 71946?\n\"Answer: -z**3 + z**2 - 9*z + 72466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbybbybb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 23*h**2 + 19*h - 17. Calculate i(-24).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 6*h - 5. Let i(v) = -v**2 + 3*v**3 - 62 + 44 - 17*v + 33. Let x(s) = -8*f(s) - 3*i(s). Let l(m) = 3*m + 1. Let w be l(1). What is x(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3782 and 1922.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 - 31*i**3 + 7*i**3)*((-3 + 1 + 3)*(4*i + 0*i - 5*i) + 4*i - 73 + 73).\nAnswer: -84*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {f: 2, n: 2, t: 1, z: 1, b: 1, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**8\/21 + w**5\/10 + 9*w**2. Find the third derivative of u(r) wrt r.\nAnswer: 960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2.963, 42, -2\/9 in decreasing order.\nAnswer: 42, 0.5, -2\/9, -2.963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*g - 477*g - 221 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose 2*f - z = -5, -b*z - 10 = 5*f - 4*z. Suppose f = -c - 4 + 7. Calculate the least common multiple of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116005 + -66605. Round n to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/4)\/3)\/3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (828\/90528)\/((-6)\/(-32)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 88*a**2 - 127*a - 108. Give i(-2).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y - 5. Determine o(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275349 is divided by 182190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.27 + 3.39. Which is the third biggest value? (a) x (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*a**2 - 51*a**2 - 64*a**2 to the form v + o*a + g*a**2 and give g.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*1)\/((-10)\/(-15)). Suppose -4 = t*h - 5*h. Suppose 5*b + h*u = -3*u + 40, -2*u = b - 10. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -2890, 5, 13 in decreasing order.\nAnswer: 13, 5, -89, -2890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*q - 712, 2*d - 187 = 4*q + 165. Suppose 33*w = -3*w - d. Let s(c) = c**3 + 5*c**2 - c - 5. Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92160719 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3217258 divided by 2\nAnswer: -1608629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 110. Let n(f) be the second derivative of f**4\/12 + 2*f - 114. Determine n(v(s)).\nAnswer: s**2 - 220*s + 12100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 16*u + 23. Let h be n(-10). Let o = 48 + h. Solve -3*b = -o + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*p + 12*p - 250*p + 3*p + 4*p - 2*p + (-1 - 1 + 0)*(3*p - 4*p + 0*p) in the form k + c*p and give c.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4170851?\nAnswer: 4170851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - f - 1. Let r(o) = 560*o**3 + 175*o**2 - 175*o - 175. Calculate -2*r(g) + 350*u(g).\nAnswer: -770*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 84.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Let x = -2 - n. Which is the closest to -1? (a) x (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1133103222?\nAnswer: -1133103231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 182\/(-16) + (-240)\/(-640). Let l(b) = -2*b. Let g(f) = 10*f + 8. Let k(w) = -w - 1. Let m(t) = -3*g(t) - 24*k(t). What is s*l(n) + 4*m(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3043? (a) -0.87 (b) 5 (c) -6\/11 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -12*q**2\/13 - 6330794*q\/13 - 81164 = 0.\nAnswer: -527566, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, -0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 77. Suppose b = -7*y + 2*y + 3*z + 9907, -4*z - 16 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104641 divided by 5?\nAnswer: -104641\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1177161 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 657358973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9*b**(-1\/36) assuming b is positive.\nAnswer: b**(323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h = -3, -4*t + h = 7. Let f be (-4*(-1)\/(-1))\/t. Solve 2*s**4 + f*s**4 + 3*s**3 + 2*s**5 - s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 12*k**2 + 21*k + 12. Let i be v(-10). Let r(q) be the second derivative of q + 0*q**i + 0 + 1\/6*q**3. Let p(m) = 3*m. What is p(r(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 505.8831 meters?\nAnswer: 505883100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -216. Calculate the remainder when t is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-21)\/(-2))\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124928091 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 40, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**2. Let d(i) = -2823*i**2. Determine d(v(u)).\nAnswer: -553308*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.99 rounded to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**1))\/x)**(-34))**(-4\/23) assuming x is positive.\nAnswer: x**(-272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22164867883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47574145.\nAnswer: 5, 41, 239, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (164\/20 - (-15)\/(-75)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*u + 1582*u + 1356*u + 7406 = 55124 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(245) + (sqrt(245) - (sqrt(245) + -5*sqrt(245))))*6)**2 + 5.\nAnswer: 317528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y**3 + 19*y**2 + 20*y + 2. Calculate b(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*(14\/10 - 1). Let r(b) = -2*b + 8. Let l be r(o). Let n = -6 - l. Put -4, n, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*k*r - 14750*k - 7089862*r wrt k.\nAnswer: -16*r - 14750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3433.7 to the nearest ten.\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -54867892 to the nearest one hundred thousand.\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.8, -4, 289, -19, 0.13?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -92\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 208?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70737722 and 499472.\nAnswer: 565901776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -27, 14, -1\/3, -0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 25 = 3*o. Let u be (12\/(-20))\/(66\/(-30) + 2). Suppose u*w - o = 4. Solve 0*l - 3*i + 12 = 3*l, 0 = l + 2*i - w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 + 16*u**4\/3 + 38*u**3\/3 - 316*u**2\/3 - 112*u = 0 for u.\nAnswer: -4, -1, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*n + 12*n + 3 - 1 as s*n + z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 4, 0.24, -155?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -66*t - 20 - 35 + 80*t + 2*t**2. What is the hundreds digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {k: 1, d: 4, e: 6, y: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*b + p, 0 = -5*b + 3*p - 2*p - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13e (base 16) to base 4\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 - p**4\/3 - 4*p**3\/3 + 3*p**2 - 2*p + 47. Suppose 0 = 4*w + 3 + 21. Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b29 - -2?\nAnswer: 4b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 486810571 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 33 - 3*x**2 + 91*x**3 - 32*x**3 - 23*x**3 - 37*x**3 - x. Give q(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 4*h**6\/3 - 13*h**5\/60 - 5*h**3\/6 - 40*h**2 + h. Find the third derivative of p(t) wrt t.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3872 and 80112?\nAnswer: 19387104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (504\/(-20))\/((-3)\/45). What is the second derivative of f - 370*f**2 + v*f**2 - 2*f**4 + 1 + 4*f wrt f?\nAnswer: -24*f**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 34738*d + 1 - 1 + 180765*d.\nAnswer: 146027*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2. Let u be 4*5\/(-80)*-8. Suppose -o*z - f = 175998, -2*z = -4*z - u*f - 175996. What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17331, 34491, 51651, 68811, 85971, 103131?\nAnswer: 120291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 2 + 2 + (-10*c + 11*c - 2*c)*(26 - 39 + 39) to the form y + b*c and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 - (-5 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1735*r**2 - 598*r**2 - 684*r**2.\nAnswer: 453*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 6511320*l**2 + 5299667529114*l - 10599309012964 = 0. Calculate l.\nAnswer: 2, 1627829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -154260 minus 0.12?\nAnswer: -154260.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4 - 4)*(-2 + 2 - 2)*(2 + 2 - 2)*(-1 - 2 + 5).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*s**2 - 2 - 163*s**2 + 14*s + 72*s**2 to p*s + r*s**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 + 6*q**3)*((3 - 2 + 7)*((-3*q - q + 3*q)*(2 - 5 + 1) + 8*q + q - 3*q) + (0 + 2 + 0)*(4*q - 5*q + 2*q)).\nAnswer: 264*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-453)\/(-1332) + (-22)\/66. Is k bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 615870089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 103*u + 1742. Calculate i(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.7 - -0.7. Let j = k + 41. What is the closest to -1 in j, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkvkvk. Give prob of picking 4 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1045 and 209?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 0.5566\nAnswer: -11.5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 9*q + 15, -5*n + 25 = 100*q - 104*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5943 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -508.8.\nAnswer: -504.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*m**3 + 338*m**3 - 160*m**3.\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32115 + 145?\nAnswer: 32263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 7*m - 3*m)*(-3*m - 5 + 5)*(-1 + 1 - 2*m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3221989, -3221981, -3221973, -3221965, -3221957, -3221949?\nAnswer: -3221941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 10602*k**2 - 9281475*k - 151230000.\nAnswer: -3*(k - 1775)**2*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44191 + 44185.8902. Let q = -5.1 - p. What is q rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 15*d + 11. Calculate the highest common factor of 88 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4\/3, 1, -4\/43, 3 in ascending order.\nAnswer: -6, -4\/3, -4\/43, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -93 + -2 + 1 + (-26 + 17 - -28)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011884 rounded to seven dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*d + 38, 4*y + 4*d = 2*y - 6. Calculate the common denominator of (-3)\/6 + y\/8 and 1\/(-5)*(-915)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -5. Suppose -5*f = -5*t - 130, 0 = -0*t + 2*t + f + 55. Let j = t + 49. What is the remainder when j is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(256)*3)\/((sqrt(72) - (sqrt(72) - (sqrt(72) - sqrt(72)*3)))\/sqrt(9)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 + o**3\/3 - 4*o**2. Let j be d(2). What is the nearest to -3 in 0.4, j, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2761620 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkk when four letters picked without replacement from {t: 1, k: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2 - (-15)\/7). Suppose b + 4 = -b. Sort 2, h, -4, b in ascending order.\nAnswer: h, -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1867215 and 56\/3?\nAnswer: 1867215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -128*j**2 - 925*j - 182. What is y(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62014 + 6950 = -821*a for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*z - 27 = 0, -150*z = -151*z + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**2 + 1. Let q be z(-1). Let h be 21\/q + (-1)\/(-4). Let n be (h - 1 - -33)*4. Calculate the greatest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 8*p**2 - 5*p - 9. Let r(n) = 2*n**2 + 3*n + 5. Let f be (-2)\/4 + (-27)\/18. Let o be r(f). Let a be k(o). Solve 0 = -0*i - a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*d**3*v**3 - 8*d**3*v + 3*d*v - v**5 + 2*v wrt v.\nAnswer: -438*d**3*v - 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + r + 13. Let j(q) = 0 - 4 + 35*q**2 - 31*q**2. Determine 7*j(y) + 2*w(y).\nAnswer: 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-13 + 10 - -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2432)*2 + sqrt(2432) + (-5*(sqrt(38) + sqrt(152)\/sqrt(4)) + sqrt(38) - sqrt(38)))\/(3*sqrt(32) + sqrt(2) - (sqrt(98) - sqrt(98)*1)).\nAnswer: 14*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3158948 is divided by 1756?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 1123, -1, 4, -6, -17 in descending order.\nAnswer: 1123, 4, -1, -1.7, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 4*f + f + 1)*(-1 + 4 - 6).\nAnswer: 6*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -67596?\nAnswer: -67596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24536.\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + 2*q - 3*q)*(-1 + 0 - 1) - 4*q + q + 5*q)*(-4 + 5 + 0) + 39 - 39 - 13*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -51?\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 640\/7 + -7547\/84. What is the common denominator of w and 71\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1281*c**4 - 89 + 5*c**3 + 1278*c**4 - c - 31*c**2 + 89 as q*c**4 + x*c**3 + r*c**2 + y*c + g and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 158*u + 644. Determine k(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p = -3*p - 70 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5 - 22 + 5 - 2*b + 12. Let a(p) = 43*p. Calculate a(s(m)).\nAnswer: -86*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - p**4 + 4*p**3)*(-3*p - p - 10*p + (p - 2*p + 2*p)*(-3 - 1 + 5)) + (p**2 - 7*p**2 + 2*p**2)*(-4 - 3*p**3 + 4).\nAnswer: 25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/107471 + 1735549083\/859768. Let z = -2008 + i. Find the common denominator of (-6)\/(-9) - 97\/(-12) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -162?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 1926 = -1951 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -1. Suppose 5*x - 2329 = 3*j, -2*j + 2345 = 5*x + 3*j. Let n = 468 - x. Which is the nearest to -1? (a) n (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.092 + -3.812. What is q rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w. Let v(i) be the first derivative of -i**3 - 2. Calculate m(v(s)).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.15 * 19.6.\nAnswer: 22.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23843c (base 15) in base 13?\nAnswer: -4761a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 53575*q - 160770.\nAnswer: 5*(q - 10718)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117440941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)\/((q\/q**(-5))\/q))\/(q**(2\/9))**3)**(-7\/8) assuming q is positive.\nAnswer: q**(125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**3 - 21\/5*l**2 + 3\/5*l**4 - 18\/5*l + 0.\nAnswer: 3*l*(l - 3)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152220?\nAnswer: 2, 3, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 88*m + 9 = 86*m, 4*s + 5*m + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -30?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*f**3 + 2*f + 4.\nAnswer: 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393712500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 489684953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 - 2457*y**3\/4 - 12267*y**2\/4 - 17167*y\/4 - 1839 = 0 for y.\nAnswer: -2452, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-78)\/65)\/((-6)\/230). Suppose x*g = 44*g + 4. Solve 5*t + 14 + 4 = -g*u, -2*u = -t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -22*x - 3*j + 83155, 0 = -x - 5*j + 16609. List the prime factors of x.\nAnswer: 2, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 62*d + 5. Let o be k(-62). Let y(n) = 0*n + 2 + 2*n**2 - n**2 - 2*n**2 + 7*n. What is y(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137124 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 - -213. Let l be (-4 - -5 - 89) + f. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/583?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -682*p**2 + 214*p - 2.\nAnswer: -1364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose 2*u - 54 = 5*x, 8*u - m*u = -x - 24. Is -3 + 12*(-56)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 7*b - 4*b = 36, 846*n - b = 845*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*n = 207813, -2*u - 3*n + 48798 = -55081. Let p = u + -107077. What is p rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s - 84*s - 258494 + 251410 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) - 1*sqrt(600))*-5 + sqrt(600))\/sqrt(12))\/(((1*sqrt(70) + sqrt(70))*4)\/sqrt(7)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(4*(sqrt(242)*-2 - sqrt(242)) + -2)*-3*3 + 0)**2.\nAnswer: 85536*sqrt(2) + 5646024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -512217 divided by -6?\nAnswer: 170739\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 71?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*9\/(-12)*-116. Suppose 138 = z - 106. Let w = z - i. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 30 = -0*s - 2*q, 5*q = 2*s + 15. Sort s, -4, 0 in decreasing order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 56 = 10*z. Let v be (-84 + 80)*((-14)\/z + 1). Which is the biggest value? (a) -1\/4 (b) -10 (c) -1\/2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r - 46*r - 33*r + 149*r - 41*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -329, -481, -609, -707?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/2779 and -11\/8050763.\nAnswer: 8050763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15310.77 + -15216. Let f = 100.1 - d. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 1034, 1227, 1390, 1511, 1578, 1579, 1502?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 - 1694101.44?\nAnswer: -1693803.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140152 and 87927861.\nAnswer: 703422888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31801 (base 9) in base 16?\nAnswer: 5245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158338740?\nAnswer: 2, 3, 5, 7, 277, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 470458 (base 9) to base 14\nAnswer: 74d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3098069 (base 13) to base 9.\nAnswer: 30678218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u + 7. Calculate q(8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-8))\/(6 - (-117)\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151401420 - -0.3.\nAnswer: 151401420.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/2 + 45*d**4\/2 - 31*d**3\/2 - 4389*d**2\/2 + 8134*d + 10290 = 0.\nAnswer: -10, -1, 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 5. Let f be o(-2). Suppose -f*z + 4*s + 9 = s, 7 = z - 3*s. Solve -3*m = -4*c - z - 1, 4*m - 7 = c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, 5\/26, -1\/3, 2, 0.02?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, and 1 z when three letters picked without replacement from {r: 2, c: 2, z: 1, o: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-7)*(3\/6 + -4). Suppose 34 = 3*y - 4*x + 3*x, -5*y + 52 = -z*x. Suppose -5*c = -2*c - y. Solve -4*r - 10 = 3*q, -r + c = -2*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/180 + f**5\/15 - f**4\/4 - f**3\/3 - f. Let t(y) be the second derivative of h(y). List the prime factors of t(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 378, 3, 17, -39 in ascending order.\nAnswer: -39, -3, 3, 17, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + 0 + 24 + 6)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 21*s**2 - 19*s + 37. Give t(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08305416 - 2.924\nAnswer: -2.84094584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 2*o**4\/3 + 14*o**2. Is 9 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26019.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**2 - 1795*p - 18. Let h(k) = 6*k**2 + 901*k + 10. Let w(y) = 9*h(y) + 5*t(y). Determine q so that w(q) = 0.\nAnswer: -866, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-207)\/36)*1\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 4. Let o be h(-4). Suppose -4*r + 2*u = o, -3*u - u - 12 = -r. Which is the nearest to 0? (a) r (b) 2\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1621895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -27 + 25 - 48\/(-34). Is 0 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059477 take away -4250.9?\nAnswer: 4250.840523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9495*w + 7909331. Give q(-833).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -2. Let m = 21 + 0. Let a = t - m. What is the smallest common multiple of 6 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/40 - 33*l**4\/32 + 45*l**3\/8 - 3805*l**2. Find i, given that j(i) = 0.\nAnswer: 3\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3 + 3)*(-71 + 180 + 210).\nAnswer: 1276*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 v when three letters picked without replacement from vvvisvilvvvmlh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571 - 4167*h**2 + 573 + 4145*h**2.\nAnswer: -22*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -43026 to the nearest 100.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 + -2117094537.6.\nAnswer: -2117094564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*l + 28, 0 = 5*u - 22 - 3. Solve -8*s**3 - l*s**2 - 2*s**4 + 13*s**2 + 0*s**4 = 0 for s.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 56 + i**3 + 7*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 115 = 3*c, 5*c + 55 = 2*k + 4*c. Is 1949\/2 - k\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 11*h + 21. What is the least common multiple of m(-6) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:28 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707969*45.\nAnswer: 31858605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -474*w**3 + 4*w**2 - 9*w - 48. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -21001?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h - 5685 + 2990 = -3*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102\/5, 3\/10, 0.2 in decreasing order.\nAnswer: 3\/10, 0.2, -102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9221 is divided by 401.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 4*f**2 - 4*f. Let m(i) = 4*i**3 - 5*i**2 + 4*i. Calculate -2*m(b) - 3*x(b).\nAnswer: b**3 - 2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 + 7*k + 21. Is t(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (21 + (-23 - -13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -451.2 and -464.\nAnswer: 209356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 171?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5382 - 18007 = 120*f - 7069 for f.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27.69462 litres?\nAnswer: 27694.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1890 and 275454.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3802 - -1.8802. What is the closest to -2 in 1, x, -3, 96?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 = 2*s - s, 5*c - 7 = -3*s. Suppose 3*j - 2 = -2*q + 36, -56 = -4*q + s*j. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 7. Let j be s(3). Suppose -4*w = -5*n - 1, j*w = -5*n + 2*w + 23. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.64 + 1.04. Which is the third smallest value? (a) 1\/5 (b) 1\/8 (c) -6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*m + 1032*m - 272 = 568 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.39 - 0.69. Which is the second smallest value? (a) 0.4 (b) f (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/51 >= 1819\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppqpopqpxhoppw. Give prob of sequence qpo.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(162\/(-15))\/6*-1. Let n be (31\/3)\/(2\/(-24)). Let s = k - n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 25 = -5*v, 0 = 24*v - 28*v - 2*a - 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-3)))\/m*m)**(-2))**(-19\/3) assuming m is positive.\nAnswer: m**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343156*a**2 - 24*a**3 - 343156*a**2.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 8b8a71?\nAnswer: 8b8a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 104. Calculate g(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 3 + 2*g - 3*g - 4*g**2. Let v(u) = 260*u + 8057. Let h be v(-31). Determine k(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001647 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/17 and 3\/6 - 127\/10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10*(5 - 260\/39))\/1. What is the biggest value in -1085, 0, -2\/7, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {d: 2, p: 2, u: 3, g: 1, z: 9}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 72. Let y = -1 + 3. Find the second derivative of 0*g**y + 2*g**2 + r*g - 5*g**2 - 2*g**2 wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82944, 165915, 248908, 331923, 414960, 498019, 581100?\nAnswer: 664203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.454 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37620 - -110734.8263.\nAnswer: 148354.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h**3 - 11*h**2 - 32*h + 6. Let c(a) = -2*a**2 + 11*a**2 + 30*a - 3 - 2 - 15*a**3 + a**2. Let s(g) = 6*c(g) + 5*k(g). Suppose s(t) = 0. What is t?\nAnswer: -1, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -12865525.88502\nAnswer: -12865525.08502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 + 3006763?\nAnswer: 3006625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7438805 and 3165.\nAnswer: 22316415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b + a6358?\nAnswer: a631a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose -y = -2*b + 1. Suppose 85 = 7*n - b*n. What is the greatest common divisor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14a055 - 4?\nAnswer: -14a059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let t be (-20)\/(-130) - (-544)\/13. Suppose 0 = 5*d + t - 62. Let c(z) = 4*z**2 + d*z**2 + 6*z**2 + 5*z**2. Calculate c(n(b)).\nAnswer: 76*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0 - 3)*-3. Suppose -42000 = -w*b - 2*b. What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2. Let k(t) = -3*t**2 + 2*t. Let f(h) = -7*h**2 + 5*h. Let l(j) = 2*f(j) - 5*k(j). What is l(g(w))?\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from oohh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/13 - 0) + (-26)\/(-169)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 12 - 186*y + 14 - 192*y + 44*y as f + k*y and give k.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5760921*v**3 + 14346872 wrt v.\nAnswer: 17282763*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -200252510 (base 6) to base 9\nAnswer: -6324056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**50)**(-2\/73)*g**(-4)\/((g\/(g**(-1\/4)\/g))\/g)*(g**5*g)\/g**3 assuming g is positive.\nAnswer: g**(-757\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -888*v - 1020*v + 30 - 639*v + 345*v. Let h be (6\/(-4) - -1)\/(15\/(-450)). Let i be g(h). Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 6)\/(-6) - -60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -232, -505, -876, -1339, -1888, -2517?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 262, 302, 330, 340, 326, 282?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1733\/4, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -1733\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-466)\/(-14) - (-8)\/(-28). Suppose c + 5*s = -0*s + 32, v = 4*c + s. Is 5 a factor of (-1)\/((-1)\/1) + c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9*a = -2*y + 1527, 4*a + 2*y = 1220. Let v = 7 + a. Suppose -v = -w - 123. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*q - 318*q - 10536 = -9512 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*p = -48 - 150, 2*p + 330 = 5*v. What is the remainder when 11811 is divided by v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from vffwywffrffffoo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*y = 4*w - 90*y - 134, -43*w - 5*y + 1472 = 0 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g*m**4 - 2*g*m**2 - 872*g*m - 13*m**2 wrt m?\nAnswer: 84*g*m**2 - 4*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 115, 193, 313, 481?\n\"Answer: p**3 + 12*p**2 - p + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.6? (a) -0.2 (b) 17.68 (c) 0 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.9 - -10. Let m = k + -1.4. Let y be ((-1)\/(-13))\/((-2)\/4). Put y, 0.1, m in ascending order.\nAnswer: m, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97608, 97678, 97748?\n\"Answer: 70*x + 97538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 3*(sqrt(1088) + -4 + sqrt(1088)) - (-3 + sqrt(1088) + -4))**2*-2.\nAnswer: -78386 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjcccccjjcjjc. What is prob of picking 1 j and 2 c?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4\/5 - 298072*w**3 - 13412976*w**2\/5 - 4470952*w + 7451620 = 0.\nAnswer: -372581, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose 0 = 4*m - 5*q + 9, -7*m + 31 = -3*m + s*q. Is (-59)\/(-2) + (-2)\/m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10020 - -2?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29936613, -29936607, -29936601?\nAnswer: -29936595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**4 + 98*q**3 + 264*q wrt q.\nAnswer: 48*q**2 + 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.22. Let t = 0.664 + 0.036. Which is the closest to t? (a) 0.2 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 19*w**2 - 36*w + 31. Let l be t(16). Let m = l - 187. What is the greatest common divisor of m and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-5)\/(-320)*4\/(-6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 8. Let m = 697\/12 + -58. Let d(h) be the second derivative of 3\/2*h**2 + 0 + m*h**4 + 0*h**3 + h. What is 8*d(q) - 3*w(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u\/(u\/(u*u**(4\/7)*u))*u*u\/u**3*u*(u*u**5\/u)\/u assuming u is positive.\nAnswer: u**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.036658577.\nAnswer: 0.0036658577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9605147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + -11 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -2 (c) 9 (d) -0.134 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 + 3*u - 8. Let m(a) = -7*a**2 + 4*a - 9. Give 3*m(h) - 4*n(h).\nAnswer: 3*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-77*z + 35*z + 24*z) + 0*z + 4*z - z + 5*z - z - 2*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3 - 146235*w**2 + 1070037600*w - 11752725820 = 0?\nAnswer: 11, 14618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*p + 172*p - 5*h + 10, -h = 3*p - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -28.66. Let j = l + 0.84. Suppose -2*d + 1 = 5. Which is the third biggest value? (a) j (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255032 (base 6) to base 4.\nAnswer: 11221130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.117 weeks in minutes?\nAnswer: 8095419.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:16 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492958341 to the power of 1\/2, to the nearest integer?\nAnswer: 22203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4952 and -17\/1298.\nAnswer: 3213848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*b - 375 = -86*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 200846 and -4748.\nAnswer: 196098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 66*f + 71*f = -4, f = -2*w + 4. Which is the biggest value? (a) -3\/4 (b) -68.4 (c) w (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-12))\/((-3)\/(-9)). Factor -3*r**5 - 9*r**3 + 27*r**4 + r**n - 18*r**4 + 2*r**2.\nAnswer: -3*r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**6\/120 + x**5\/12 - x**4\/3 + 11*x**3\/3 + 13*x**2 - 3. Let z be b(4). Solve 9*i - 15 = z*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7 + 25 = w, -18 = -5*w + 4*q. What is the second biggest value in 3\/5, w, 0.07?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -10, 12, 70, 176?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/37, -2\/7, 10\/73?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:03 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.100186 nanometers?\nAnswer: 0.000100186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:30 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 9*d**2 + 37*d - 95. Let q be t(8). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345 - -350.02. Let f = 0.02 - h. Sort 2\/5, f, -0.3 in increasing order.\nAnswer: f, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 3 = 0. Let k be 0 + -1 - (-2)\/f. Suppose k = -2*y + 5. Solve 1 = 2*o + d + 2, y*d = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(56))\/(sqrt(14)\/sqrt(32)) - (sqrt(24) - (sqrt(288) - -1*sqrt(288) - sqrt(288))\/sqrt(12))\/(sqrt(108) - 1*sqrt(108) - sqrt(12)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2135 + 2365. Suppose -8*z + l = 1340. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -200\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:02 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let b = -4 - -6. Suppose 0 = 2*g - 2 - b. Let n(l) = -6 + 6 + g*l. Calculate n(u(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m - 38*m - 39*m + 148*m - 4*m**2 - 18*m to u*m**2 + o*m + s and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-520)*(6\/6 + 211).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 60807\nAnswer: 1\/20269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**4 + 9745*a**3 + 109305*a**2 - 2955925*a + 12005000 = 0?\nAnswer: -25, 7, 1960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 4*p + s, -5*p = 4*s - 13. Suppose p*c = -217 + 227. Solve -d + 2*d + 2*r = 13, -2*d = c*r - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-25)\/(-30))\/(5\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369105 and 495.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let y(q) = 91*q - 453. Let c be y(5). What is u(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000396047 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3143)\/(-3592) - (-366)\/(-16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 143.99846. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3 - 19*j**2 - 14*j - 8*j - j**3 - 2 + 10*j**2. Let k be x(-5). Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -8*o - 180. Let v = 16 - 12. Suppose 0 = 2*j - v*j + o. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from fccfbbcfbfbfbcff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*u + 8, -4*u = -u + 3*i - 6. Suppose -4*s + 4 = -u*r, 0*s - 2 = -s + r. Differentiate s - 1 + 5*k + 4*k**4 - 5*k with respect to k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5216*l + 344*l**2 - 10366*l + 5158*l to the form d*l**2 + p*l + i and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 4, 3, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + (sqrt(605) + 0 - sqrt(605)))*-3 + -2 + -2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(39585\/(-116)))\/((-11)\/((-825)\/(-10)))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1 - 1\/3*a**3 + 3\/2*a**2 + 5*a. Determine v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8*(0 - 1))\/(-2). Suppose 4*v + 16 = 0, x*t + 4 = 2*t - 5*v. Calculate the remainder when t is divided by 1 + (4 + -1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -2\/7, 2\/5, 82, -20 in decreasing order.\nAnswer: 116, 82, 2\/5, -2\/7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 122*m**2 - 658*m + 114. Determine s(-66).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -42018647 - -1207\nAnswer: -42017440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 84?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2 + 26*d - 3. Let t(x) = 4*x**2 - 14*x + 1. Give 11*t(i) + 6*z(i).\nAnswer: -4*i**2 + 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 116 + 423*t**2 - 208*t**2 wrt t.\nAnswer: 430*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -5 (c) -91996 (d) -1 (e) -0.4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/72616 and 113\/224.\nAnswer: 2033248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h. Calculate the remainder when x(-7) is divided by -1*(11 - 42 - (-1 + 1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2189 times -0.0407?\nAnswer: 89.0923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556072229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let y = 3 + -2. Let k(u) = -5*u + 2. Let w(l) = y*k(l) - 2*z(l). List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22 = -2*a - i, -5*a + 29 = -i. Suppose r - 20 = -2*d - r, 2*r = -a*d + 50. What is the smallest common multiple of 16 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 46 = 0. What is the remainder when 89 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 8*k**2 - 5*k + 3. Give n(-6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 7. Let x be y(-12). Suppose 0 = -o + x*o. Solve -5*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -31732103 >= -31732104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 3)*(250*g + 4*g**2 - 250*g + (-g**2 - 2*g**2 - 4*g**2)*(1 + 2 + 8)) in the form i*g + q + l*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 397, 0.3, 104570 in decreasing order.\nAnswer: 104570, 397, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33852 = -105*d - 77*d. What is the remainder when d is divided by 100?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -285*j + 293. Determine c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13734*k + 82596. Calculate v(6).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7835 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854, -699, -434, -65, 402?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 800860 bigger than 800860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) - (-36)\/(-81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48773)\/(-2090) + -24 - 6\/(-20)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648854 is divided by 17541.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 32*d**2 - 24. Let l(c) = -160*c**2 + 120. Let h(g) = -3*l(g) - 14*q(g). What is the derivative of h(r) wrt r?\nAnswer: 64*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -262715 - 424585. Round d to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -354 - 4?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.2374 and -0.3.\nAnswer: 1.87122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*s = 313, -121 = -4*p - 2*s + 465. Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452514?\nAnswer: 2, 3, 53, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(800) - (sqrt(800) + -2 + sqrt(800)*1)**2) - (5 + (-2 + sqrt(128)*3 - sqrt(128))**2)*-1.\nAnswer: -15499 + 836*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*l - 7 = 0, -5*k + 2 = 2*l - 32. What is the least common multiple of 22 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 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: Is 1986629993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 4, y: 5}. What is prob of picking 2 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s + 1. Let t be k(4). Let i be (-1 - (3 + t))*-5. Let p(x) = x**2 - 6*x + 6. Determine p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let r(p) = 7*p**2 + 5*p + 3. Let h(l) = r(l) + 2*t(l). Suppose -20 = k - 6*k. Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 - 3*f + 12. Let p(y) = -4*y**2 + 3*y - 11. Let g(z) = -4*b(z) - 6*p(z). Let m be g(12). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*v - 4088402 = 5022323 + 6014207. What is the highest common factor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26967*b + 1111. Let r(p) = -97*p - 4. Let m(n) = 1111*r(n) + 4*y(n). Let s(g) be the second derivative of g**4\/12 + 52257*g. Calculate s(m(z)).\nAnswer: 10201*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 3*r**2 - 3*r + 1. Let c(j) = -7*j + 5*j**3 + 0 - 4*j**2 + 1 + 3*j - j**3. Let n(m) = 3*b(m) - 2*c(m). Find k such that n(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 12) to base 3\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (-8 + 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 q, and 1 l when four letters picked without replacement from {u: 2, q: 1, l: 2, j: 2, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892 is divided by 113?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from tzzztzztzztzttznz?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 208*d + 7*d - d**2 - 6 in the form l*d + y + i*d**2 and give l.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(7))\/sqrt(5) + ((sqrt(3) + (sqrt(3) - (0 + sqrt(3))))*-1)**2.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020212201210 - 11?\nAnswer: 102020212201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2010.\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m - 220*m + 76*m - 210*m - 152*m.\nAnswer: -441*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 313*q + 2738. Let a be m(-9). Put a, 3, -4, 0 in decreasing order.\nAnswer: 3, a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {l: 3, e: 2, c: 3, u: 1, p: 1, k: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:51 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8294465 divided by -1658893?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 - u**3 + u**4 - 3*u**2 + 6*u**2 as a*u**3 + p + l*u + c*u**2 + s*u**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 48, 112, 198, 306?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 338609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 7, -0.13.\nAnswer: -152, -0.13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228 = 60*p - 15*p + 535*p - 4312 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496135 divided by 335.\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2, f: 2, e: 5, b: 9}. Give prob of sequence fi.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from zceczznzcyzc?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1375 = 13*f - 12*f, 0 = -3*f - 4*x + 4086. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245294523?\nAnswer: 3, 1747, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1076 + 1076. Let v(r) be the third derivative of -1\/120*r**6 - 5\/6*r**3 + 0*r**5 + 0 + 9*r**2 + i*r**4 + 0*r. Find the first derivative of v(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -222?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 342 + 2*t**5 + 163)*(2 + 2 - 3).\nAnswer: 2*t**5 + 549","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 4. Let u be z(0). Let h be u\/14 + (-46)\/(-14). Find the second derivative of 3*w**h + w - 2*w - 2*w**3 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k + 4*k + 0*k + (3*k - 6*k + k)*(-2 - 4 + 5).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2441*b + 380 = -2436*b + 5*c, 9*c = 3*b - 441 + 1125 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, -2\/15, -4, -1\/2, 49, 8.7 in increasing order.\nAnswer: -4, -1\/2, -2\/15, 2\/31, 8.7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116303\/460 + -5676\/23. What is the common denominator of (-269)\/30 + 8\/12 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -73. Let n(z) = -77*z + 3. What is the hundreds digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 - 3*s - 14. Let d be u(-6). Solve -2*y = -d*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5893087 grams in kilograms?\nAnswer: 0.0005893087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(4 + 42\/(-12)). Suppose 0 = -2*j - 2*a - u*a + 66, -j + 28 = -4*a. Suppose -v + 4 = 0, 452 = 5*g - 4*v - j. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727598571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(-2)\/(-6). Let l = -132.6 + 126.93. Let f = -8.67 - l. Which is the nearest to 1\/2? (a) p (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22317 and 2076.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0 + 0)*(-2*j**2 + 12 - 12) + (-j**3 - 4*j**2 + 4*j**2)*((-16 + 7 - 22)*(1 + j - 1) + (-2 + 1 + 2)*(-3 - j + 3)).\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2101320023?\nAnswer: 2101320030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.62 + 1.22. Which is the nearest to 0? (a) -4 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/13)*w\/(w\/(w*w\/(w\/(w**(1\/7)\/w))*w)))\/(w**(-18)*(w**(-16\/3)\/w)\/w))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81*(-36)\/(-24)*6. Calculate the highest common divisor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-11 - (3 + -18)) - 10) + -49 + 129?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-139.17.\nAnswer: -5149.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 + 38580*o**4 + 656604*o**3 + 3979676*o**2 + 10318008*o + 9739296 = 0.\nAnswer: -7, -4, -3, 9662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 5*m + 657. Let b = 138 + m. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1211*w**3*y + w**3 - w + 3347 wrt y.\nAnswer: -1211*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.24139 rounded to two decimal places?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = 0, 0 = -i - 2*q - 42 + 38. Suppose -1 + 5 = 4*w. Solve 11 = -5*l + 3*f, -4 + w = -l - i*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111010 - 3?\nAnswer: -10111013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19*(6\/(-18))\/(2\/(-6)). What is the third derivative of -109*d**4 + 109*d**4 - s*d**6 - 11*d**2 + 5*d**6 wrt d?\nAnswer: -1680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 9*k - 4. Suppose 9*c - k = 50. Suppose -c*y = 21 - 81. Solve -5*r = -10 - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 + 0*u**3)*(1 + 1 - 1)*(-u**2 + 0*u - 11 - u + 17) + 2*u**5 + 6*u**3 - 6*u**3.\nAnswer: 3*u**5 + u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Let h be p\/(2 + 1 + -5). Let g be (h + 49)*(-6)\/(-12). Solve w - 2*f - 3 = 0, 4*w - 2*f + g = -3*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p**2 - 17*p**3 - 37*p**3 + 47*p**3 + 12*p to t*p**2 + s*p**3 + d + o*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*z - 4*v, -5*v - 27 + 2 = 0. Let w = z + -17. Is w + (-1)\/2*2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-8)*i)\/i)\/i)\/i*i*i)**(-8\/13)\/((i*i*i*i\/i**(-18\/11)*i)\/((i**(4\/9)*i)\/i)) assuming i is positive.\nAnswer: i**(-1633\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 4*p**2 - 3*p = 0. Calculate p.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -30*j**2 - 388*j + 29. Let y be a(-13). Solve 2*n + 5*f + 20 = -3*n, 0 = 3*n - y*f - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:33 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7181 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: Solve -11*x - 54*x - 91*x = -240*x - 4536 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17 + 0*r - r - 5. Let g be a(9). Suppose 2*j = -g*j + 130. Calculate the highest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 + 195. Let v(n) = -129 - 126 + 6*n**3 - 129 + 385 - n**c. Calculate v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 4*t**4 - 8*t - 13*t**2 + 9 + 8*t**3 + 7*t**2 - 10*t**2 + 0*t**3 = 0 for t.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqq when four letters picked without replacement from qqqqssqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20366713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3829*m - 8163*m - 6955*m - 3537*m to x*m + c and give x.\nAnswer: -14826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 15355748?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121558633 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z. Let t(m) be the third derivative of 0*m**3 + 30 + 0*m - 2*m**2 + 0*m**4 + 1\/10*m**5. What is c(t(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1204 - -1205. Let z be (6 + 1\/1)\/1. Which is the closest to f? (a) 4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-3)\/(9\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 1:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -12 - 10\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-22 - 0) - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*g - 685, 2*g = 5*v - 3419 - 72. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*z - 1344*z - 42 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27) + ((-32)\/24 - -1)\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*u + 213 + 6*u + u - 153*u**2 + 91 wrt u?\nAnswer: -306*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.71567 millilitres in litres?\nAnswer: 0.02671567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12041534 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*d + 6 - 4 + 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 30 = 2*q. What is the lowest common multiple of ((-36)\/q)\/(4\/10) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 630. Suppose -17*h + 4619 = -j. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -0.1 (b) -2\/11 (c) 0.4 (d) -7.2 (e) -4443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7249604 + b**2 + 7249604.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 + (-2304)\/(-120))*(-7)\/(42\/880). Which is the third biggest value? (a) 4\/3 (b) 0.2 (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**3 + 21*h**3 - 40*h**3 + 12*h**3 - 8 as j*h**2 + k + y*h**3 + s*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x + 5. Let v be b(0). Let z be (-2 + v + -2)*(-1 + 296). Calculate the common denominator of 2\/3*z\/50 and 83\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 31 = 13. Solve v*t + 25 = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + o + 2*o)*(3*o - 5*o**2 + 8*o**2 - 5*o**2) in the form j*o + x*o**2 + q + i*o**3 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o + 26. Determine u(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002057131 rounded to 7 decimal places?\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 4)*(0 + 2 - 3) + 32 - 2 - 12)*(2 + 0 - 1)*(2 + 2*n - 2)*(0 - 2 - 2*n + 0).\nAnswer: -56*n**2 - 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25046 is divided by 234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -8. Let y = m - -6. Let w = -0.2 - -0.4. Which is the second smallest value? (a) w (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1552)\/112 + 5 - -9.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 21*s + 3*s + 38 + 0 - 6*s.\nAnswer: -17*s + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 283820?\nAnswer: 851460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:03 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 79\/3 of a minute?\nAnswer: 1580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 15)*2\/(-4). Let t be (-3)\/h*3 + 4. Suppose -i = -2, 3*m + 15 = -t*i + 58. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11399860.\nAnswer: 2, 5, 17, 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256 + 362. Suppose -2*c - w = -73, -3*w = -5*c + o + 49. Find the third derivative of 5*j**2 - c - 5*j**3 - 3*j**2 + 34 wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:25 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**2 + 13286287 - 13286287.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -679\/75575 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -5*o**4\/24 - o**2. Let j(f) = -2*f - 1400 + 1400. What is l(j(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*y - 102*y - 91*y + 911*y.\nAnswer: 958*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129963 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4354, -4358, -4362?\n\"Answer: -4*w - 4350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 - 363.213. Let r = -0.2241 - t. What is r rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {z: 2, f: 1, y: 1, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -2 + (6 - -2). Suppose -3*y + 4*s = -10 - 3, 5*s + 8 = y. Suppose 0*b - 2*b = -2. Sort d, b, y in descending order.\nAnswer: d, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 1943.5?\nAnswer: -1936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 50 = 5*l, -26*l + 17*l = -2*a - 90 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1966480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 + -5 + 1 + 2). What is the units digit of 397 + w - 1 - (-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 + 68 = -k. List the prime factors of k.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 15 = -71830*p + 71829*p, -8*p = 2*k - 54 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 + 304370*p**2 + 14294795*p + 27372150 = 0 for p.\nAnswer: -60827, -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2015196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1280100 and 49215.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1190\/(-476))\/((0 - 2) + 382\/192). Calculate the greatest common factor of t and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1290129, 2580179, 3870231, 5160285?\nAnswer: 6450341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 minus -390307.6?\nAnswer: 390470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/20)\/((-2)\/5). What is the units digit of w\/(-6)*-10 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 11, -11.47 in decreasing order.\nAnswer: 11, -0.2, -11.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 9?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (sqrt(68)\/sqrt(4) + 3 + -5*(sqrt(17) + -1 + sqrt(17)))**2.\nAnswer: -144*sqrt(17) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-1413115)\/(-100) + (-9)\/12)*10\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -55 in increasing order.\nAnswer: -55, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4649208717?\nAnswer: 3, 857, 1808327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + -65)*(-21 + 11).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -5.7. Let k = j - 7. Let b be 91\/(-26)*12\/(-189). Put b, k, 1 in ascending order.\nAnswer: k, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17 = 7. Suppose -k + t*k - 2 = 0, 3*k = -5*l + 161. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*k = -26393, 3*m - k - 12772 - 13641 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - 1 - -1 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -145, -214, -275, -322, -349, -350, -319?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -2120679088810.\nAnswer: -2120679088810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 959, 1, -1119, 2.\nAnswer: -1119, -6, 1, 2, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuww when four letters picked without replacement from hwwuwwhhhhhwhhuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -57*a**2 - 197*a + 1009. Determine f(5).\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11885, 11922, 11973, 12044, 12141, 12270, 12437?\n\"Answer: f**3 + f**2 + 27*f + 11856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4352, -3180, -2008, -836?\n\"Answer: 1172*p - 5524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11964\/5 or 0.1?\nAnswer: 11964\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11951 is divided by 2987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-129)\/63 - -2). Let c be (-4)\/(-14) + (-36)\/k. Factor -t**2 + t**4 + 0*t**2 + 2*t**3 + 2*t**c.\nAnswer: t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4 = 4*p, -w = -p - 12 + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.078159215 and -13.7.\nAnswer: -13.621840785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c + 49. What is o(7)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 776 or 8540\/11?\nAnswer: 8540\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 35 - 1\/20*o**5 + 5\/2*o**2 - 9*o + 1\/2*o**3 - 1\/3*o**4. Let x(d) be the first derivative of i(d). Determine x(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167.6 + 171.6. Let g = 1.2 - 1. Which is the third smallest value? (a) w (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 79?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1318 and 4087777?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)\/(5 - 4). Let m = 0 + p. Suppose -m*r + r + 5*s = -18, -s - 40 = -3*r. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2. Let p(b) be the third derivative of 0 + 0*b + 0*b**3 + 1\/24*b**4 - b**2. Calculate p(t(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 5*z - 9*z - 8*z in the form q*z + x and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 419 + -413. Solve -30 = -y*r + 12*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515496 - 515514.40388. Let v = y - -18.4. Round v to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let h = t - -3. Which is smaller: h or 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -695295 and 37?\nAnswer: -25725915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n + 10673 - 1710 = -64*n - 2620 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*k**3 + 2*k + 1 + 34*k**3 + 2*k**2 - 15*k**3 wrt k?\nAnswer: 282*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = i - 63, -2*b + 38 = -4*i. Suppose -3*j - 50*c + 53*c = -102, -c = -5*j + 166. What is the remainder when j is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8057 and -25\/9?\nAnswer: 72513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Suppose -6*p + 5 = -5*p. Let y be (-9)\/p - 1\/5. Are n and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*o = -490*o + 2465*o - 6885. Factor -106*u - 23\/2*u**o - 68 - 1\/2*u**4 - 57*u**2.\nAnswer: -(u + 2)**3*(u + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-260)*(-5)\/(-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 15\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445145194?\nAnswer: 2, 13, 103, 113, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.025 (c) 1110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 712\/(-10) - (-1)\/1. Let k = 70 + w. Let j = -687 - -2063\/3. Which is the fourth biggest value? (a) -16 (b) j (c) 5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, b: 3, e: 7, n: 3, p: 3}. Give prob of sequence qpp.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 356072*q**2 - 31698597581*q + 316950369610.\nAnswer: -(q - 178031)**2*(q - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6574.244nm?\nAnswer: 0.000006574244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*d**3*q**5 - 251*d**3 + 4*d**2*q - 11*d*q + 2*d - 72263*q**5 - 61*q wrt q?\nAnswer: 780*d**3*q**3 - 1445260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38\/47 - -7907\/9024. Is 1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*g - 2*n = 363*g - 52550, 3*g - 52555 = -n. What are the prime factors of g?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 27.\nAnswer: -53\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25029777*t**3 - 2*t**2 + 49*t + 84035.\nAnswer: 150178662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 4, l: 7}. Give prob of sequence nnlt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -0*v + 4*t, 5*t = -5*v + 20. Let w = -480 - -483. Solve -v*u - w*m = 3*u - 16, -2*u + 7 = m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 5*c - 2*c - 3 + 55*c**4 + 3*c**3 - 2*c**2 - 4*c - 57*c**4 in the form b*c**4 + y*c + d*c**2 + s + v*c**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, 81, 231, 441?\n\"Answer: 30*g**2 - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.2, -0.094, -4, -0.5?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 71d - 1a8a43?\nAnswer: -1a8324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzszzzzzzzzzzszzzz. What is prob of sequence zzss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let x = -2\/4085 - -1760651\/32680. Let s = x + -54. What is the nearest to 2 in s, -0.4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9357811*g**4 - 4430412*g**2?\nAnswer: 224587464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2289 and -2292 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8aa33 - 14?\nAnswer: 8aa1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7442051 to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**21*m*m**18\/m)**(-24))**40 assuming m is positive.\nAnswer: m**1920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 2. Suppose c*v - 32 = v. Suppose -4*p - 2*b - 3*b + 92 = 0, 2*p - b - v = 0. What is the smallest common multiple of 10 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 - -6*6202\/28 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 14*p = -20*p - 44, -7*c - 2*p + 19 + 53 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h**2 - 1 - 3 + 4 as q*h + v*h**2 + l and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l**2 - 3*l - 5. What is y(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4420 - -8095. Let q be r\/(-756) + 3\/4. Are -4 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52)*-2 - sqrt(52))*-4 + (sqrt(832) - sqrt(52)) + 3)**2 - (6*sqrt(104)\/sqrt(2) - 5*(sqrt(52) + -2)))*2.\nAnswer: 356*sqrt(13) + 23398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 24*c**5 + 1420*c**4 + 12668*c**3 + 35576*c**2 + 33808*c + 4704 = 0?\nAnswer: -49, -6, -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g = 177, 4*m + 152 = 2*m - 4*g. Let v = -11 - m. Calculate the remainder when v is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-108)*-6 + (-98)\/22?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 135 = 201. Calculate the greatest common factor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/664 and -47\/356.\nAnswer: 59096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21476 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**3 + 4*h**3)*(4*h + 3*h + 0*h)*(2 + 1 - 4 + (-4 - 2 + 5)*(0 - 2 + 4)).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4153624 and 108216.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3100 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21021*a**3 - 604373?\nAnswer: -63063*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1320 and 251460.\nAnswer: 502920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584459246 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 54*j + 280. Let k(y) = 2*y**2 - 58*y + 280. Let a(q) = -4*f(q) + 6*k(q). Determine o, given that a(o) = 0.\nAnswer: 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12266, -24553, -36878, -49247, -61666?\nAnswer: -74141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 1 + 3 = 3*w, 4*w = z + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 22, -13, -58?\n\"Answer: -5*i**2 - 10*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 97.5. Let v = -5.8 - 0.2. Let m = v + 5.7. Which is the third biggest value? (a) m (b) s (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101011212 (base 3) in base 16?\nAnswer: -15089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 14. Suppose 0*o - 2*o = -8. Suppose n - o = 3*n. Let d be n*(1 + (-6)\/(-2)). Let h(k) = -k - 9. Determine d*h(c) - 5*j(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 37*h**2 - 36*h.\nAnswer: -h*(h - 36)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -6*o + 10413. Does 89 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79247547.\nAnswer: 3, 41, 214763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 28. What is y(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -646*m - 1022*m + 3910*m + 1322*m + 3091*m to the form b + z*m and give z.\nAnswer: 6655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 35*y**3 - y**2 - y**2 + 0*y**2.\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365*a**3*v**2 - 2*a**3 + 117144*a**2*v**2 + 3*a**2*v - 2*a*v**2 + 368669*v wrt v?\nAnswer: 730*a**3 + 234288*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x + 9. Let t(f) = 60*f - 37. Let l(k) = -2*t(k) - 9*v(k). Differentiate l(n) with respect to n.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = q, 158 = 3*j - 2*q. Let x = -5 - -81. Let k = x + j. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 + 0 + 8. Let g = y + 3. Suppose -16 = -4*q, -4 = -2*i - 3*q + 10. What is the greatest common divisor of g and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 485 and 1154800.\nAnswer: 112015600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -4.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-4*q**3 + 3*q**3 + 2*q**3) + (-5 + 3 + 0)*(-3*q + 3*q - 3*q**3).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 281678184 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 8304*d - 28752724 = 0. Calculate d.\nAnswer: -1837, 3913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2445 + 2.1445. Which is smaller: x or -965\/6?\nAnswer: -965\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700 = 4*m - 5*x, 0 = -5*m + 2*m - 4*x + 1306. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -571618*c*d**3 - 10*c*d*v + 4*c*d + c - d**4*v + 536 wrt d.\nAnswer: -3429708*c*d - 12*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(363)*-2 + 2 + (-5 + -2*sqrt(363) + (sqrt(363) - (sqrt(363)*2 - sqrt(363))) + 2)**2.\nAnswer: 88*sqrt(3) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -77 - (-10 - (-10 - -3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303039.2 years to centuries.\nAnswer: 3030.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 158 in descending order.\nAnswer: 158, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.15043 months in years?\nAnswer: 2.1792025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, -4 in increasing order.\nAnswer: -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10516 and -17\/2016443?\nAnswer: 8065772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*34\/228*102\/187 and -30\/247.\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)\/(v**(-45)*v*v)*(v**(-14\/3)*v)**(-19))**(-16) assuming v is positive.\nAnswer: v**(-5390\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -19. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50484, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13216a + -5?\nAnswer: 132165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 12*i**3 - 35*i**2 - 12*i + 36 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -584724042 divided by -1301\nAnswer: 449442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/21 or -1?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*n = 55, -5*n - 6 = -i + 34. Calculate the greatest common factor of i and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-176))\/((-10*14\/(-2450))\/(72\/126))?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 231 = 2*j - 3*u, -4*u = 2*j - 154. Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 144107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u + 10. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2809914, 5619982, 8430050, 11240118, 14050186, 16860254?\n\"Answer: 2810068*p - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 take away -0.379?\nAnswer: -411.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 7. Let v(i) = 12*i - 2 - 8 - 9 + i**2 - 2*i. Let z be v(-12). Let t(a) = -4 + 2*a - 3*a + 0*a. Calculate z*t(s) - 3*g(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {o: 1, e: 2, j: 4, c: 2, v: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 6, s: 2, z: 1, r: 1}. Give prob of sequence ys.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76010.\nAnswer: 2, 5, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 26)*(-r - r + 5*r)*(6 - 1 - 4).\nAnswer: -111*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 3*u + 26, -2*u = 0. Suppose p*y = 32*y - 18. Solve -v + 2*q = -10, -v = y*v + 4*q - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -38 (b) -40 (c) -2 (d) -1\/4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4*-2*(8 - (-222)\/(-12)) and 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -211*l**3 - 116*l**2 - 103*l + 15. Calculate f(-1).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.0168461154.\nAnswer: -2.0168461154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8204 - -1553. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7989, 15166, 22331, 29478, 36601, 43694, 50751, 57766?\nAnswer: 64733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1.999994. What is l rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m**2 + m**2 + (3 - 2 - 3)*(1 + 2*m**2 - 1) - 2*m**2 + 4*m**2 + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 3. Let d = 85 + -61. Let s = -27 + d. Does 5 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:16 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g - 6*g**2 - 19*g**3 - g**3 - 11 - 29*g**3 - 15*g**3.\nAnswer: -64*g**3 - 6*g**2 - 76*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 53, -61\/2, -0.3, 0.7, 29, 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1431*v**2 - 53*v. Let s(z) = -55*z**2 - 2*z. Determine -53*s(r) + 2*w(r).\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2 (c) -1.49 (d) -23 (e) -5\/3 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004913 is divided by 251038.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*f**2 - b**2*f + 2*b**2 - 35438*b*f**2 - 2*b*f - 23439*b + 2*f**2 wrt f.\nAnswer: 6*b**2 - 70876*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 59*f**2 - 784*f + 51. Determine r(-20).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5927 - 1.5807. What is the closest to 1\/3 in c, -7, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -38 (b) -2\/9 (c) 7 (d) -33 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/10 + p**4\/12 + p**3\/6 + p**2. List the prime factors of v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1517\/2 (b) -0.172 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 47 = 4*l - 5*g - 2, 2*l + 11 = -5*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2570.74 - 2597. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302\/5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-68)\/459*-36\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*q - 16. Suppose -q*s = -30*s + 4949. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 5*v - 13. Let n(p) = -103*p**2 + 8. Let i(r) = 34*r**2 - 3. Calculate v*i(l) + 3*n(l).\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 4. Let k be r(3). Let j(c) = -c**2 - 3*c - 2. Suppose 4*g - 12 = -2*y, 3*y + g = y. Let o be j(y). Solve -2*s - 3*s - k = o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -111 (b) 1\/3824 (c) -1\/51 (d) -2\/9 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/(-7))\/((-3)\/(-10))*-3. Let l(v) = a*v - 18*v - 31*v. Let m(x) = -23*x + 6 - 6. Determine m(l(k)).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/6 + h**3\/6 + h**2\/2 - 5*h. Let b be s(-1). Suppose -b*n - 25 = 71. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9783761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 1, j: 1, h: 4, e: 3}. Give prob of picking 1 h and 1 q.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 58 = -4. What is the third derivative of 9*n**5 + 33 + 9*n**6 - 35 - n**2 - 13*n**6 + k*n**5 wrt n?\nAnswer: -480*n**3 + 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263415 divided by -3571\nAnswer: 263415\/3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 330.6 + -300. What is a rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10866\/25 - -1672289\/3850. Calculate the common denominator of -129\/770 and y.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q + 69. Let o be 4\/16*0\/(-1). Calculate the remainder when z(o) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1053a39 (base 14) to base 3\nAnswer: -112112211010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 12812150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1830544.5 months?\nAnswer: 152.545375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913502, -913492, -913482, -913472, -913462, -913452?\nAnswer: -913442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9410 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.039 - 5.939. Let x = 6 + m. Sort x, 4, -1\/4 in descending order.\nAnswer: 4, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**8)*z*z*z*z*z**(-11))\/(z*z*z*z**3)**(1\/16) assuming z is positive.\nAnswer: z**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011215 to 6 dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -11230223112?\nAnswer: -11230223203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/13 - 4\/65. Suppose -11 = -5*n + 3*d + 6, 0 = -5*d + 5. Let r = -7 + 4. What is the closest to a in -4, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4235 < -4188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + -5 + (sqrt(72)\/sqrt(3)*-4)\/((sqrt(144) + (sqrt(144) - (sqrt(144) + (-1*sqrt(144) - sqrt(144)))))\/sqrt(12))) + -2)**2.\nAnswer: 8*sqrt(2) + 113\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/48*-4)\/(12\/(-48))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193\/2 or 3\/458?\nAnswer: 193\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 527*d - 2447.\nAnswer: 8*d**3 - 527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/511 and -61\/91688?\nAnswer: 641816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n. Let p(s) be the first derivative of s**4\/3 - 3*s**2 - 9. Let o(b) be the second derivative of p(b). Calculate d(o(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*t - 37*t - 165*t + (-4*t + 3*t + 0*t)*(3 - 1 - 3))*(-3*t**3 - 3*t**3 + 4*t**3)*(-9 - 3 + 1 + 0).\nAnswer: -3696*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -544, -4459, -15076, -35743, -69808, -120619?\n\"Answer: -558*w**3 - 3*w**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9962 or 9966?\nAnswer: 9966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 3. Let x(g) = 112*g - 15. Let i(m) = 5*a(m) - x(m). Let v(d) = -20*d**2. Determine i(v(u)).\nAnswer: 2140*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 40 = 2*q. Suppose -7 = 2*p + c, -5*p = -0*p + 5*c + 20. What are the prime factors of q + p + (2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62744400*q**6 - q**2 - 227*q + 6548 wrt q.\nAnswer: 7529328000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -4) + 2 - -27. Solve 5*o - 4*h = -h + 6, -5*o - 5*h + p = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 135 - 31 = 0. Suppose 14*k - 238 = r*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1\/45*x**6 + 0*x + 1\/135*x**7 + 1\/54*x**4 - 7*x**2 + 1\/90*x**5 + 0*x**3 + 0. Factor m(w).\nAnswer: 2*w*(w - 1)**2*(7*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 72*p + 3. Let d(h) = 29*h + 1. Let g(n) = -2*b(n) + 5*d(n). Give g(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -2*o. Suppose -4*j + 108 = -o. Suppose 0 = -2*m + m + 20. What is the highest common divisor of j and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 83. Suppose 0 = 7*w - q - 38. Let u(i) = -i**2 + w + i**2 - 5*i - i**2. Determine u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22022 (base 5) to base 12.\nAnswer: -a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 53440.01 minutes?\nAnswer: 3206400.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 3, -39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310 + 102120230?\nAnswer: 102110320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465)\/525 + 9\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202333 + -3?\nAnswer: -203002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 - -14) + (-1 - -5). Suppose 5*k - 227 = -3*i, 5*k + j*i - 195 = 5*i. What is the units digit of (-2)\/(-15) - k\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.8. Let u = -0.3 - k. Suppose -296*j + 176*j = 360*j - 1920. What is the second biggest value in j, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/(-42))*15*(-25)\/(-1125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 8*x - 3*n + 8 = 0, 3*x + 11 = 2*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 5 = 0. Let p be x\/((-11)\/(-4) + -2). Let h = -5.189 + 0.189. Which is the second smallest value? (a) h (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*(-79)\/1 + 3. Suppose -155 = -4*g + k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 79. Let k be 33\/27 + 2\/(-9). Suppose 2*o + 0*o - h = k, 5*o + 2*h = -2. Put o, 5, t in descending order.\nAnswer: 5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210508291 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = 3. Let c(j) = j**2 - 16*j + 17. Let y be c(s). Suppose 79 = y*a - 51. What is the remainder when a is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 6*q**2 - 4*q + 3. Calculate o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 603 + -603.3. Let o = -77\/3 - -26. Sort o, j, 4\/5 in descending order.\nAnswer: 4\/5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdn when three letters picked without replacement from {g: 1, q: 3, n: 1, d: 1, v: 6, h: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 9. Let y be u(-14). Suppose 0 = 4*s - 3*t - 48, 0 = 2*s - t - 19 - y. Let b = -9 + s. Solve -o - z = -b*z - 1, 0 = 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00679564236 to six dps.\nAnswer: -0.006796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/11 + 618*m**3\/11 - 3166*m**2\/11 - 8178*m\/11 - 4396\/11 = 0.\nAnswer: -314, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 137 = 103. Suppose i = -2*i + t. Let s(x) = 1931*x**2 + 19305*x - 10. What is the smallest common multiple of i and s(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 10*n + n + 3*n - 10*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/7 - 185*p**4 - 550600*p**3\/7 - 73137240*p**2\/7 + 1576957680*p\/7 - 2856940848\/7 = 0. Calculate p.\nAnswer: -438, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose 171 = c*i - 0*i. Suppose -3*l = -18 - i. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.17\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4\/3))\/(j\/(j*j**(2\/5))))\/((j\/((j*j**4)\/j))\/(j\/((j\/(j\/j**(-4\/3)))\/j*j)*j))*(j**(-1\/3)*j**(2\/19))\/(j**0*j**1) assuming j is positive.\nAnswer: j**(1474\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11613 and 1391901?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427007 is divided by 438.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + 1.6. Let j = 3 - z. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228.1 + 227.8. Which is the nearest to 0? (a) q (b) 0.4 (c) 37 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-75)\/(-18))*(-40)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x = -3. Suppose 0 = -4*h - 6 - 6, x*k + 4*h = -3. Suppose -5*o + 20 = b - k*b, -o - 18 = 4*b. Solve o*l = 7 + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768.5 - -7809?\nAnswer: 5040.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*n**4 + 21082*n**3 - 7*n**2 - 529916*n wrt n?\nAnswer: -7968*n + 126492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -837 - -948. Suppose 3*o - f + 3 = 0. What is the remainder when o is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4.7. Let h = 0.14 + -4.84. Let f = h - p. Which is the closest to 1? (a) 2 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 49*g**2 + 159*g - 166. Calculate l(52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -21 (b) -2 (c) 1 (d) 2\/11 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.90035 litres to millilitres.\nAnswer: 8900.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 15\/4, 321, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 7*v + 3*v - 1)*(3*v**3 - 2*v**3 - 2*v**3) - 2*v**4 + 6*v**4 + 2*v**4.\nAnswer: 2*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 7:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*f + 16. Suppose 40 = 18*m - 10*m. Put 0.2, 2\/27, m, f in decreasing order.\nAnswer: m, 0.2, 2\/27, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/t)\/t)**48 assuming t is positive.\nAnswer: t**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 592945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 76. Let i = d + 32. Let a(v) = 7 + 0*v - 11 - v - 4. Determine a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from hee?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16675 divided by 23?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.2429 rounded to one dp?\nAnswer: 62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -43, -133, -239, -355, -475, -593, -703?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-10)*22\/(-66))\/(12\/(-40))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2602 - -0.0698. Let u = 0.67 + m. Let q = 0.3 + -0.4. Sort q, 0.3, u.\nAnswer: q, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55760178 divided by 27880089?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -6. Let m(o) be the second derivative of 7*o**5\/10 + 4*o**3\/3 - 4*o**2 - 2*o + 22. Let y(x) = 5*x**3 + 3*x - 3. Give v*y(n) - 3*m(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b + 17. Let z(d) = -4*d - 9. Let h(r) = 3*m(r) + 5*z(r). Let i(u) = u. Let k(j) = h(j) - 3*i(j). What is the first derivative of k(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - w + (1 + 2 - 1)*(w + 4 - 4) + (w - w - 2*w)*(2 + 3 - 6) + w + 3*w - 2*w + 4 + 4*w - 4)*(11 + 3 + 5).\nAnswer: 228*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28263 greater than 28261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210650 is divided by 14382.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 46, 35, 6, -47?\n\"Answer: -g**3 + 8*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f + 0*f**4 + 0 + 4\/15*f**5 + 17\/60*f**6 - 30*f**2 + 0*f**3. Find the third derivative of l(x) wrt x.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let n be (-5)\/(-3) + k\/6. Let b(f) = f**3 - 4*f**2 - 2*f**2 - n*f**3 - 6*f. Determine b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 5. Let w be o(-5). Let i = w - -3. Suppose 3*m = z + 34500, 5*m - i*m - 23000 = -z. What is m rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-107)\/4*(-2 - 2). Let n = v + -71. Suppose 2*h = -h + n. Solve q = 4*q + h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 13*c + 200 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsrqggwqraagqr. Give prob of picking 1 a and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -29. Let x = 192 - 230. Let y = x + v. Which is smaller: 7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 11528384?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2755*a**2 - 435. Let o(q) = -25*q**2 + 4. Let b(j) = 4*k(j) + 435*o(j). Let z(p) = -10*p. Give b(z(r)).\nAnswer: 14500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 459448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2123*y**3 - 7*y**2 - 4*y**2 + 5*y**2.\nAnswer: -2123*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*5438\nAnswer: 1087.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366.98 rounded to zero decimal places?\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 229 = -1175. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -4 - (-7797)\/4 - 4\/(96\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1cc (base 14) to base 16\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.5 (c) 74 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 84*a - 1080. What is x(0)?\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 - 441 = -50*y + 853 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34848 and 8532128.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 + -698. Let q = t - -395.01365. Round q to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13589*j + 4*j**2 - 10*j**2 - 5*j**2 - 13589*j. Let t(s) = -3*s + 2*s - 2*s. Determine t(d(h)).\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(2\/7))\/v*v)\/v)**(7\/9)*(v*v**(2\/7)*v)**47 assuming v is positive.\nAnswer: v**(759\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22000202110 + 0?\nAnswer: -22000202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17037 - -1311913\/77. Find the common denominator of k and 229\/63 - (-4 + (10 - 3)).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(22*v + 24*v - 45*v - 18).\nAnswer: 3*v - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (220 - 0)*(77\/182)\/(-11). Are h and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbmp when four letters picked without replacement from pmbbmbbbjjbjbm?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796593 to the power of 1\/2, to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-22) - (-7)\/18. Let p = d + -1\/9. Let r = -6 - -5. Which is the nearest to r? (a) -0.1 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 26*s**2 + 117*s + 112. Give c(20).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 9*b**2 - 145*b + 154. Determine d(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 u when three letters picked without replacement from bhhhbphuh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14916817?\nAnswer: 29, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 594*t - 599*t + 29 = 0, -5*l = -50*t - 68 - 137 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose 3 = j - 1. Factor j*k - 2*k**a + 3*k**4 - 2 + k**4 - 4*k**3.\nAnswer: 2*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -6. Let v = 117 + m. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121183\/17 or -7129?\nAnswer: -121183\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 6:34 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(40\/(-272)*(-56)\/(-35))\/(96\/(-816)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10384534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, 48, -0.5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(-2 - (-6)\/8)*104\/(-260)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419545525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 6, 0 = s + s - 3*j - 18. Suppose -5*l = 4*x - 7215, s = 4*l - 6. Suppose -2*v = v + x. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-11 + (-24)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1906800 by 280.\nAnswer: 6810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (528\/374)\/(40\/68).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 6*u - 8. Let b(y) = y**2 + 19*y + 6. Let c(j) = j**3 + 10*j**2 + 20*j + 13. Let n be c(-8). Let s be b(n). Calculate w(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 30. Let r be (-6)\/h - (-4)\/10. Is 7*(6 - r\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3 + 33*w**2 - 63*w - 3969 = 0.\nAnswer: -9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 976 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 165487*l - 165483*l - 16 = 0, -5*m + 20 = 5*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -697, -705, -727, -769, -837?\n\"Answer: -d**3 - d**2 + 2*d - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 831671.2ml?\nAnswer: 831.6712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7016\/10421?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111986 * -0.48.\nAnswer: -53753.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62445945 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 17*s - 13. Let v be m(13). Let w = v - 12. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 547 + -543. Suppose 0 = -3*j + 15, 4*l + 3*j - m = 71. Calculate the highest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9622.79561 + 2\nAnswer: -9620.79561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908.8213 rounded to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -454, -903, -1352, -1801, -2250?\n\"Answer: -449*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*x = 2 + 3, -3*o - 11 = -4*x. Sort o, -2, -5 in decreasing order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 27. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7393 + -51753\/7. What is the fourth biggest value in -3, c, 2, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03654 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i + 2. Let q be n(3). Let v = -2 + q. Suppose v*p - 46 = p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 255800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.82 - -13.78. Let l = -0.22 + -9.78. Let q = x + l. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*2*-4 - sqrt(209))\/(6*sqrt(55)\/sqrt(5)) + 0.\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-26))\/((-4)\/4))\/(111\/481)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 - 11*d**3 - d**3 + 16*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2791\/2 + 1395. Sort v, -0.2, -17, 3\/2 in descending order.\nAnswer: 3\/2, -0.2, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -3*h + 18, -5*h = 393*t - 394*t - 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97999\/2073869 + 28\/589. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*s + 4 = 1, -3*o = -2*s + 3. Suppose 168*r - 174*r + 270 = 0. Calculate the remainder when r is divided by o + (-38)\/2*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1189.6 + -1190. Sort -8\/7, w, -1\/3.\nAnswer: -8\/7, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 36. Let k be 2\/(-9) + y\/(-9). Let m(c) = -c**2 - 12*c - 40. Let f be m(-7). Put k, 1, f in descending order.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3719898 divided by -265707.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, i: 1, r: 2, q: 4}. What is prob of sequence iq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 741*y - 744.\nAnswer: 3*(y - 248)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7 + 5 - a - 2*a + a. Let l be s(-9). Suppose l + 3 = t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129.1 + -129. Let z(j) = -j + 14. Let g be z(11). Let y be -2*g*21\/(-36). Is r greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 0*v**4 + 0*v**3 - 47\/60*v**5 + 0 - 16*v**2. Let w(x) = 2*x. Determine z(w(o)).\nAnswer: -188*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nubpuwumwbnnwpw. What is prob of picking 2 n, 1 w, and 1 b?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 303 + 133. Suppose l = -g + 48. Let f = 695 + g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 0 + sqrt(833)*-3)**2 + ((sqrt(136) + (sqrt(136) - (sqrt(136) - (3*sqrt(136)*-1 + sqrt(136)))))\/(sqrt(24)\/(1*sqrt(3))))**2.\nAnswer: 6817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/130 + 160\/(-1040).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.897 and 3.\nAnswer: -8.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h**2 - 415. Let t(q) = 3*q. Let u be (-4 + 2)\/(4\/(-14)). What is u*t(l) - 3*v(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -524519*a. Let b(t) = 4*t**2. Determine f(b(c)).\nAnswer: -2098076*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15581 or 17221?\nAnswer: 17221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)\/p)**(4\/5)\/(p**(-2\/11)*p*p**(-5))*((p*p**(-4\/3))\/(p\/(p\/((p**6*p)\/p))))\/(p**(3\/7)\/(p\/(p*p**(-2\/13)*p))) assuming p is positive.\nAnswer: p**(-63457\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-75 - -97) + 3 + 2 + -17\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*-1 + (1*sqrt(1100))**2.\nAnswer: -2*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78199 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r*r\/(r\/r**0)*r))\/(r\/r**3*r**2)*((r**(2\/7)\/r)\/(r**(-5\/4)\/r*r))**3 assuming r is positive.\nAnswer: r**(129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwk when four letters picked without replacement from pewwwpekwkewe.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -18 + 3. Suppose g*b - 3*b = 94. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*n + 20 = 0, b + 3*n = -3*b - 44. Let m(p) = -p**2 - 19. Let y be m(b). Let l = y - -191. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4))\/i*i**6\/i)\/(i**12*i**(-11)))**(-28) assuming i is positive.\nAnswer: i**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(8\/82)*-1 - -1. List the prime factors of 1564\/14 + 12\/m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87138 is divided by 2125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502621, 502620, 502619, 502618, 502617?\nAnswer: 502616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 49 = 39 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47429 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**7\/7 - 3*s**6\/5 + 43*s**5\/5 + 329*s**4\/27 - 7595*s**3\/27 + 8575*s**2\/9 + 1261*s. Factor v(h).\nAnswer: -2*(h + 5)**2*(3*h - 7)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let w be (-1)\/2*0\/1. What is the closest to w in -3\/8, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 7447412 = 0. Suppose g = 4*f + 849980, 4*f + 1538127 = 4*g - i. Round g to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from {n: 13, l: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 7422?\nAnswer: 14844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/62 (b) 0.2 (c) 3\/8 (d) 4\/7 (e) 2 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -17 + 13. Calculate the remainder when 6 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbttgltbttt. What is prob of sequence ltb?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 15315521500?\nAnswer: -15315521453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, -1595.8, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 3*p - 57. Let c(y) be the second derivative of 0 + 0*y**2 + y + 1\/3*y**p. Let k(z) = 2*z. Give k(c(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 19*t**2 - 20*t + 4. Let h be w(-20). Let d = -28 + h. Is 379*(d\/(-60) - 3\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Suppose a = -5*q - 8141, -t*a - 1 = -9. Is 10 a factor of (-1)\/4 + q\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/154427320 and 27\/38048.\nAnswer: 617709280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 794*a**2 - 3 + a + 1424*a**2.\nAnswer: 2218*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-9))\/(3\/27). Suppose -2*u + 4*x = -3*u, -2*u + 3*x + 22 = 0. Factor -12 - 36*s + 7*s**2 - 26*s**3 + u*s**3 - s**4 - 46*s**i - 2*s**4.\nAnswer: -3*(s + 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62552570 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozooorrrooozrzor. Give prob of picking 1 o and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16078270*q + 16078270*q + 173*q**3.\nAnswer: 173*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 3*o - 55. Suppose -o*h + 4 = 7*u - 8*u, 4*h = -2*u + 34. Solve -4 = 2*p, 0 = -5*v + 5*p + u + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41600, 41650, 41718, 41810, 41932?\nAnswer: 42090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 + -1694\/5. Which is the closest to w? (a) -3 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 6*c - 2 - c + c**3 + c**2. Suppose 2*p - 5*b + 10 = 0, 0 = 3*p + 2*b - 4*b + 15. Determine u(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204 + 16*p**2 - 204)*(5 + 0 - 6)*(24*p + 1 - 25*p + 5).\nAnswer: 16*p**3 - 96*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380270524?\nAnswer: 2, 163, 583237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*n)*(4*n + 32 - 32) + (-6*n**2 - 4*n**2 - n**2)*(-1 - 3 + 3).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from kikkikik.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 6. Let m(k) = 20 - 4*k + 8 - 21. Suppose -4*i + 8 = -2*i. Let u = -9 + i. Determine u*m(y) + 6*g(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46600 and 44650.\nAnswer: 41613800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-942*l + 67673 + l**2 - 67673 + (-1 - 3 + 2)*(-l + l - 2*l**2))*(2*l**2 + l - l) in the form p*l**4 + f*l + g + o*l**2 + k*l**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 6\/11, 2.614, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 754, 1450, 2218, 3094, 4114, 5314, 6730, 8398?\n\"Answer: 6*o**3 + 654*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28713.\nAnswer: 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1287 + -1803. Let o = 769 + b. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let d(s) = -15*s**2 - 2*s + 18*s - 43*s + 16*s. Let x(a) = -7*a**2 - 6*a. Let z(h) = 6*d(h) - 11*x(h). Calculate z(t(u)).\nAnswer: -325*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 139628, 139625, 139622?\n\"Answer: -3*w + 139631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115828, -926789, -3127936, -7414363, -14481164?\nAnswer: -25023433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 19*w + 34. Give d(-12).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 679 = 3*j, l - 31 = -4*j + 115. What is the remainder when 571 is divided by l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 788*y**6 + 661137*y**4 - 94*y**2 + 204559*y wrt y?\nAnswer: 94560*y**3 + 15867288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 - 274*m**3 + 59087*m**2 - 228516*m - 695556 = 0.\nAnswer: -417, -2, 6, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 13*a - 6. What is the hundreds digit of t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 70 = 154 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 1\/2, 1\/7, -9, 51, 0.1, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 43*z. Let w(r) = -156*r + 25. What is k(w(b))?\nAnswer: 97344*b**2 - 37908*b + 3575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-130)\/(-25) + 2\/(-4) and 45\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*g + 2 + 3 = 0, -5*g - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 29 = 10*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d + 31. Calculate x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -5\/222, -11 in increasing order.\nAnswer: -98, -11, -5\/222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose 4*p = -2*t + 4*t - 56, 3*t + 5*p - 117 = 0. Suppose -3*v + t = -5*m, -3*m - 11 = 3*v + m. Is v at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85065359 is divided by 10633169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -347, -363, -403, -479, -603?\n\"Answer: -2*s**3 - 2*s - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 4, s: 3}. Give prob of picking 1 s and 3 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o**2 - 88*o**2 - 146*o**2 + 176*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-8)\/80*-5)\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 + 212 - (-73 - 10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13346*b + 44. Let p(m) = 13345*m + 41. Give 14*d(w) - 15*p(w).\nAnswer: -13331*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1100, 1111, 1122, 1127, 1120, 1095, 1046, 967?\n\"Answer: -x**3 + 6*x**2 + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*i**3 + 29*i**3 + 23*i**3 - 106*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*m - 14, 3*m + o = -0*o + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/360 - x**5\/40 - x**4\/24 - x**3\/6 - 2*x**2. Let m(u) be the first derivative of i(u). Let t be m(-1). Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*g - 8. Suppose -g*x = -5*x + 33. Let i = 15 - x. Solve 4*d - 25 = -i*k + k, 5*d - 3*k - 11 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182300573 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(24) + sqrt(72)\/sqrt(3) + sqrt(24))*5 - sqrt(24))\/(sqrt(512)*-2).\nAnswer: -3 - 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 12:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6444, 6446, 6448, 6450, 6452, 6454?\n\"Answer: 2*a + 6442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*d**2 - 862*d**2 + 1 + 961*d**2.\nAnswer: -66*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from aaaxxxaaxxxx?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 483145*m**3 - m**2 + 8559*m - 1.\nAnswer: 48*m + 2898870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by (9 - (-375)\/(-35))\/(6\/(-105)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 214655 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnfirofrofh. What is prob of picking 2 f and 2 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 59*h**3 - 2*h**2 + h - 11. Is w(3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*s - 22*s - 115912 + 127369 = 0 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 356*u**2 + 3449*u + 28. What is m(9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3304*q - 11. Let x(b) = -3308*b + 8. What is -2*v(d) - 3*x(d)?\nAnswer: 3316*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3 - 7. Suppose 4*r + 3*y = -2*y - 9, -12 = 2*r + a*y. Suppose -2*j - r*c = 632, -7 = 3*c - 1. Round j to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11))**(-10))**27*((t*t**(-5))\/(t\/(t\/(t\/t**7*t*t*t*t))))\/((t\/(t**2\/t*t))\/(t\/t**(-2\/23))) assuming t is positive.\nAnswer: t**(-12398\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -212 + 404 - 192 + 367*a in the form j + g*a and give g.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(4 + -5)*5. Let p(t) = -4 + 2*t**2 + t + 0*t - 6*t. Let r be p(n). What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyyoyyyyyy. What is prob of sequence oy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15785 + 16552. Calculate the remainder when p is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.2427 and 0.2?\nAnswer: 3.4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 592 and 0.028.\nAnswer: 592.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4750 and 70?\nAnswer: 33250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 19*l - 893. Calculate y(-44).\nAnswer: 2143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8725297.\nAnswer: 3\/8725297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*r + 6 = 0, -79*a + 81*a + r - 14 = 0. Let h = -78 - -78. Solve -a*o + 7 - 12 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/5)\/(-7*16\/280).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3702223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 679*h - 100339. Give x(-225).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + -0.2. Let c = v + 0.26. What is the third smallest value in c, -3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 7 + -10 - (-21 - -5 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -226*k**4*w**2 + 2*k*w**3 - 7*w**3 + 5*w**2 wrt k?\nAnswer: -904*k**3*w**2 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 2, 12, 8, 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-448)\/128*(-2755)\/203. Let q(p) = 47*p. Let m be q(1). Is f at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 8*r. Let q be a(6). Calculate the greatest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 1 - 2*a - 2*a)*(4*a**4 - 3*a**4 + 2*a**4).\nAnswer: -6*a**5 - 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b + 34*b + 2*b**2 + 8 + 2*b**3 to y + n*b**2 + x*b + g*b**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1160 and 9280?\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -0.772, 0.125, 5, 4\/3?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-3\/2))\/u)\/(u*u**(-2\/11)))\/(u\/(u**14\/u)*u\/((u\/(u\/((u*u*u**(-14)*u*u*u*u*u)\/u*u))*u)\/u)) assuming u is positive.\nAnswer: u**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1107, -2005, -3517, -5655, -8431, -11857?\n\"Answer: -2*v**3 - 295*v**2 + v - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23546.9*3.\nAnswer: 70640.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206872304 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 + 0.54. Sort -0.5, 0.4, 5, d.\nAnswer: -0.5, d, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {f: 1, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**2\/2 + s - 17. Let i = -131 - -129. Let c(p) = -1. Determine i*c(q) - 3*g(q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(16\/7)\/((k\/((k*k**(3\/4)*k)\/k))\/k**(-4)) assuming k is positive.\nAnswer: k**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4 + -2*(sqrt(243) + sqrt(27)) - sqrt(189)\/((1*sqrt(14))\/sqrt(2))) + 5) + -1)**2.\nAnswer: -1080*sqrt(3) + 54691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 - 66*g**3 - 207478*g**2 - 15*g - 5550776?\nAnswer: -12*g**2 - 396*g - 414956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/10 + 7*w**4\/6 + 5*w**3\/3 - 12*w**2 + 23*w. Is 5 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72.3 - 2.3. Sort 1, 5\/2, c in descending order.\nAnswer: c, 5\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.011 and -2.061893125609.\nAnswer: -2.050893125609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 81 + 9. Let m be 1 - j\/(-4) - 4. What is the greatest common factor of 24 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*y + 12 = -3*y, -5*l + 5*y - 30 = 0. Let q(d) = -25*d - 6. What is the units digit of q(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 148b41 - -4?\nAnswer: 148b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -73*z**3\/3 - 5*z**2\/2 - 5*z - 2974. What is q(-1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43241668\/51 at least as big as -847875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/127*(-2 + (-426)\/(-36)). Let p = d + 3\/127. Which is the smallest value? (a) -4 (b) -38\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1197\/1991 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-96)*(-256)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2964, -2968, -2984, -3018, -3076?\nAnswer: -3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 2:59 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 3, 78, -1 in increasing order.\nAnswer: -1, 3, 34, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101000110 + -101?\nAnswer: -110110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.8. Let h = 25 + -59. Let d = 33.8 + h. Which is the smallest value? (a) v (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 37373820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/22 and -18\/4213.\nAnswer: 8426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110087973 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425346 to the power of 1\/2, to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -8, 2, 14?\n\"Answer: t**2 + 5*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -98, -182, -266, -350, -434?\n\"Answer: -84*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/67567 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*x - 3\/2 + 3\/4*x**2.\nAnswer: 3*(x - 2)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.03 (b) -1 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -25, -31, -35, -37, -37?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 723496 - 249195. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 - (-9 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hhyymhgyyhyyhyyyh.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11052 (base 6) to base 11.\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*z + 15 = 0, z + 12 = 5*z. Solve 3*y - c + 14 = j, -2*c - 8 = 3*y - 0*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 - (-18 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*t + 39309 = 1022*t - 8989 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29905\/3? (a) 1\/15 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1045\/(-44) - 5\/4. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n - 17. Suppose 4*o = 2*o + 12. Let c(g) = -3*g + 6. What is o*i(x) + 17*c(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347976*p + 696056*p - 348023*p.\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 214695 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506828848?\nAnswer: 2, 31676803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 186. Let f be n(57). Solve -34 = -f*v + 41 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2346\/(-9384))\/((-2)\/8 + 19\/8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840619 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(21\/4))\/(15\/(-45))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28967.\nAnswer: 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 88 = -6*s + 4*w, -4*s - 2*w + 154 = 0. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48666715 and 116800116?\nAnswer: 584000580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 + 56 + 3)*((-5 + 2 + 1)*(-3*c - c + 2*c) + 205*c - 68*c + 58*c) to n + w*c and give w.\nAnswer: 18507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4933 + 78993\/16. Calculate the common denominator of ((-2 + -212)\/((-4)\/(-2)))\/20 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 16 = 5*g + x, -3*g = -5*x + 4. Calculate the remainder when (-304)\/(-6) + g\/(-9) is divided by (-105)\/(-4) - 3\/12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 4 + 4 + (3 + 0 - 1)*(111*o - 133 + 133)*(-o - 804 + 814 - o).\nAnswer: -443*o**2 + 2220*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p. Let n be 3 - 0 - 5\/5. Let t(v) = -4*v**2 + 12*v - 12*v + 2*v**n. Calculate c(t(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -41*s + 1\/2*s**4 + 0 + 0*s**3 - 23\/2*s**2. Differentiate u(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -706127 + 1124224. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/10, 5, -0.2, -21, -145?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - 8) - (-8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(70\/112))\/((-400)\/(-1000)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**3 + 14*q**3 + 255*q**5 - q**3 + (5*q**2 - 4*q**2 - 3*q**2)*(q**3 + q**3 - q**3).\nAnswer: 253*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001216849 to 7 decimal places.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2659 + 2192 = 23*c + 40*c. Is c less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 42*c + 13. Let v be i(8). Let p be -1 + v\/(-6) + 7\/42. Let b = p - -65. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 49. Let g be (372\/(-310))\/((-7)\/(-10) - 1). Suppose o = -g*z + 126. Let u(m) = 2*m**2 - 7*m + 2. Give u(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/21383 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55839, -111595, -167351, -223107?\nAnswer: -278863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42540 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1236\/19 + 65. Suppose 20 = 5*c - 4*c. Calculate the common denominator of j and (84\/110)\/((-4)\/c).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2905 is divided by 48?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1203179 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/(1\/(-5)). Let u(o) = v - 5 + 2*o. Let q(y) = 4*y - 8*y + 0*y. Give u(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45264 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, -1.04892 in decreasing order.\nAnswer: -0.2, -2\/3, -1.04892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123.4451 + 0.0549. Let z = -123 + q. Sort z, 3\/7, -0.2, 2 in descending order.\nAnswer: 2, z, 3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 16. Suppose l = 4*v + 4470 - 86. Let a = v + 5877. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 19*r**4\/3 - 2*r**2 - 12*r. Let f be y(-2). Let v = f + -204. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -27. Suppose -u = c + 2*c. Is (-2106)\/(-2) + 24\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35422238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2 = -5*f, -3*m + 113*f + 55*f = 210*f - 99 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**4 + 16*h + 13*h**2 - 1\/420*h**5 + 1\/42*h**3 + 0. Let a(p) be the first derivative of b(p). Factor a(u).\nAnswer: -(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -11*w + 3429. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650 = 122*d + 223 + 103 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/950 (b) 5\/8232 (c) -3\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1305745*t**2. Let r(h) = 54*h**2 - 2. What is r(u(i))?\nAnswer: 92068380271350*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(2\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1204041.59 + 16393.41. Let m = -1220432.999934 + r. Let i = 2 - m. What is i rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - n + 6*n**2 - 124*n - 3*n.\nAnswer: 2*n**2 - 128*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*s - 9641 = -32953, 0 = -5*x - s + 116524. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/900 + o**5\/60 + o**4\/10 + 137*o**3\/6 - 89*o**2. Let t(s) be the first derivative of g(s). Factor t(v).\nAnswer: -2*(v - 6)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-34) + 132\/34 + -4. Suppose i = -r + 2*x + 464, r + 10*x - 464 = 9*x. Is r a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -90, -104, -122, -144, -170, -200?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75.2888 and -918.\nAnswer: -993.2888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5 - 27) + (344 - 350)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(32) - (sqrt(128))**2) + 0 - (sqrt(352)\/(sqrt(11)*-3)*-3)**2.\nAnswer: -165 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1125818159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/34 - 8*c**3\/51 - 28*c**2\/17 - 64*c\/17 - 506. Factor f(r).\nAnswer: 2*(r - 8)*(r + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -41, 1, -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*d - 185 = 4*d, 0 = -3*h - 5*d + 199. Suppose 0*g + g = -2, 5*z - 4*g = -42. Let w = h + z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 3 - (-5 + 0). Let j be -5 + -2 + o - -4. Let m(v) = 2*v + v + 1 - j. Let z(i) = 3*i**2. Give z(m(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 5*p - 4*p)*(p**2 - 2*p**2 + 27*p**2) + 2*p**3 + 0*p**2 - 4*p**3 + 2*p**2.\nAnswer: -54*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-9))\/(4\/(-12)*-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491679?\nAnswer: 7, 213097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n**3 - 239*n**3 - 142*n**3 - n**3 + 3 - 3 + (n + 0 + 0)*(n - n - 2*n**2) - 3*n**3 + 7*n**3 - 3*n**3 - 4*n**3 + 2*n**3 - 10*n**3)*(3 - 1 - 4).\nAnswer: 818*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1670595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*c = 3839647 + 2721375. What are the prime factors of c?\nAnswer: 2, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 13*d**3 + 7*d**3 + 1 + d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354493 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5667293 is divided by 10673.\nAnswer: 10603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4027 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 - 7*c - 7. Let v(s) = 23*s**2 + 20*s + 20. Determine -17*f(t) - 6*v(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 6. Let o(g) = g**2 + 17*g + 68. Let v be o(u). Let h be (8\/(-12))\/(2\/(-12)). Solve 4*w - w - 4*n + 7 = 0, 2*w - h*n = -v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37760252 rounded to three dps?\nAnswer: -1.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53286 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28870, -28892, -28912, -28930?\n\"Answer: u**2 - 25*u - 28846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0.4, 1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -186, -1313, -3384, -6399, -10358, -15261?\n\"Answer: -472*z**2 + 289*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from mmvvmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a tonne in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47083920 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: What is the remainder when 7032 is divided by 3672?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*k - 4937 = 0, -w + 5*k - 2259 = -626. Is -9*8\/12 - w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 27343*t + 24 = -27337*t, 6*n + 5*t - 43 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 63. Let x = 130 - d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.90096774 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 2:11 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Let g be -737*(-4 + 2)\/c. Let u = 1529\/2 - g. Find the common denominator of u and -115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.7 - -29. Let l = -9.7 + f. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v - 73*v**2 + 0 + 0*v**5 - 1\/24*v**4 + 47\/120*v**6 - 17\/3*v**3. Find the second derivative of a(f) wrt f.\nAnswer: 282*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 12. Let s be -5 - -3 - 4\/2. What is the remainder when n(s) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 297.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c. Let r(x) = 28*x. Determine k(r(q)).\nAnswer: -392*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41593*b**2 + 13863*b**2 + 3*b**3 + 13867*b**2 + 13863*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-10) - 7\/14. Sort 3, -0.2, -2\/9, l in descending order.\nAnswer: 3, -0.2, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-3*b + 5*b + 4*b + (-2*b - 3*b + 3*b)*(1 + 0 + 1) + 5*b - 2*b - 4*b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2984867228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 29*i - 15. Calculate p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16177817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 119*t**4 + 0 + 121*t**4 + 25*t**3)*(5 + 0 - 4).\nAnswer: 2*t**4 + 25*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430713143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 18\/5 - 3. Suppose h + 3*p - 49 = 0, 175 = 3*h + 5*p + 16. Let o = 59 - h. Put 0.3, k, o in descending order.\nAnswer: o, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -64. Which is the smallest value? (a) 3 (b) m (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(75*v + 84*v - 163*v)*(0 - 5*v**3 + 0 + (-3*v - 2*v + 3*v)*(0*v + 0*v - 2*v**2) + v**3 - 3*v**3 + v**3).\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - z = 2, 5*s - 5*z + 3 - 33 = 0. Suppose -s*k = -5*y + 407, -3 = -2*k + 5. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 121 - 97)*(4 + 0 - 2)*((2 - 1 - 3)*(2*m - m - 2*m) + 6*m - 58 + 58).\nAnswer: -1088*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8893*n**3 + 1 - 8890*n**3 - 3 + 2*n to v + i*n + c*n**2 + k*n**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.311. Let p = 0.0489899 + k. What is p rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4, -3761\/12 in descending order.\nAnswer: 5, 0, -4, -3761\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8265 and 14877.\nAnswer: 74385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-7 + 8 + (-2)\/4)*0. Let q(w) = w**3 + 5*w**2 + 4*w + 2. Let x be q(-4). Let y = 4 - x. Solve 0*b - 24 = n*v + y*b, v + b + 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w + 2201 = 305 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 278 - 7*a**3 - 29 + 10*a**3 - 249.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + d - 3. Let u(j) = -j**2 + j + 1. Let w(n) = s(n) + 4*u(n). Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 6*x + 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 2 - 3 + 3*q**2 - 1 + 2*q to the form h + w*q + b*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398920 is divided by 1157.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211201.\nAnswer: 127, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) + 2\/6. Let x = 3 - 2. Let m = -0.12 - -0.42. Which is the closest to x? (a) m (b) h (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 149 - 2*x**2 - 31 - 147.\nAnswer: -2*x**2 + x - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16019 (base 13) to base 4.\nAnswer: 22030211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 17. Suppose 4*w = 3*o + 12, 0 = w - 5*o + 4*o - 4. Suppose 2*l = -w*l + 46. Calculate the remainder when l is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -2*f + 171. Solve 0 = 3*i - 5*i - f*r + 10, -4*i - 3*r = -18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 + -3.8. Let w = n - -4.6. Is -1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50701023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2759 divided by -31\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - (-4178 - -4182)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104918 and 16469618?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104.83999979116 - 104.84. Round a to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/4 - 19*z**3\/2 + 84*z**2 = 0. What is z?\nAnswer: 0, 14, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 - 4 = 0. What is the second derivative of -5*y + y**s + y**2 + y**2 - 8*y**2 wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*n - 113*n = 8610 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, 0.05, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttp when three letters picked without replacement from wtwptwtt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 106*s - 2944. Let u be n(28). Let j(b) be the first derivative of 0*b**2 - 29\/4*b**4 - u - 11*b + 0*b**3. Differentiate j(x) wrt x.\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1*(-1 + 0). Suppose 2*c = -n*c + 740. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27906193967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 29*b - 2. Let o be x(5). Suppose 0*j - 39 = -3*j. What is the highest common factor of j and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/7 - 11\/42. Let n be ((-1)\/3)\/((-232)\/116). Suppose -a - 1\/6*d + n*d**2 + 1\/6*d**3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -2*b, 0 = 4*h - 6*h + 4. Suppose -b*c + 34 = -11. Solve 3*v = z + 9, 2*v = -z + 7*v - c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.9494081 + -9.949. Round h to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(156) - 3*sqrt(156))\/sqrt(12) - sqrt(13)) + (sqrt(832) - (2 + sqrt(832) + sqrt(832))**2) + (1*sqrt(637)*-2*-1)**2).\nAnswer: -3920 - 295*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Suppose 0 - n = -a. Let z = 5 - 1. Put a, z, -2 in descending order.\nAnswer: z, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 792276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 10) in base 12?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 3*m - 12 = 0, m + 441 = 3*d - 0*d - 3*m + 468 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232044809?\nAnswer: 5851, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/27)\/(194\/(-370)). Let w = -1\/97 - v. Which is the smallest value? (a) 0.2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -23.3. Let w = h + -4.7. Suppose 5 = -q + 6*q. Which is the second smallest value? (a) 0.02 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 18*w**2 - 29*w - 18. Suppose 0 = -3*t + 6, -16 + 73 = 5*q - 4*t. List the prime factors of v(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 + 19*j - 13. Let a be t(9). Put 4, 3\/4, 0.4, a in decreasing order.\nAnswer: 4, 3\/4, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366082351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = -6*m - 241 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/2 - 5\/2*v**3 - 155\/2*v + 85\/2*v**2.\nAnswer: -5*(v - 15)*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.9, 10, -0.5, -226, -2\/7, -6\/11?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - i + 2 = 0, -4*b + 63*i - 60*i + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308806\/3 - 102934. Factor 248\/3*k + z*k**2 + 3844\/3.\nAnswer: 4*(k + 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 4*s + 4. Let c(t) = 2*t**2 - 3*t + 3. Let m(f) = 3*a(f) - 4*c(f). Let w(g) = -37*g**2. Determine w(m(j)).\nAnswer: -148*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/4 - 141*y**3\/2 - 81527*y**2\/4 - 40551*y - 20240 = 0. Calculate y.\nAnswer: -176, -1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100143 - -10?\nAnswer: 100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-11))\/(150\/(-275)))\/((-4)\/132)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 20, 0 = z - 0*z + 4*a + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.752843ng in grams?\nAnswer: 0.000000000752843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 52*t + 1521 = -1209. What is the second smallest value in 4, -3, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 146546*d**4\/3 + 891615604*d**3\/3 + 13057511656*d**2 + 84006963120*d + 50289374016 = 0.\nAnswer: -36, -7, -2\/3, 12234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761251474 to the power of 1\/3, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udka when four letters picked without replacement from uakdndaqdaqddanaaqk?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 1. Let q(c) = 6*c + 6. Give q(s) + 5*x(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.2, -1\/2, -3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0.3, 9, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3161491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 67.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149285400059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) + 2*sqrt(153)) + sqrt(153))\/(sqrt(99)\/(sqrt(55)\/sqrt(5))).\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(1080) - sqrt(30))\/sqrt(6))**2.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43443 and 65097?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/l**1*l\/(l\/(l*l\/(l*l*l**(3\/2)\/l*l)))*l*l*l\/(((l**4\/l)\/l)\/l)*l assuming l is positive.\nAnswer: l**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 27. Determine u(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9123 - 1760735\/193. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f - 4. Let n(j) = 5*j + 3. Let y(s) = -3*k(s) - 4*n(s). Let u(b) be the second derivative of b**3\/2 - 7*b. Give 4*u(r) - 15*y(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 668*p*u*v - 2*p*u + 2262 wrt v.\nAnswer: 668*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3213198666 to the nearest integer?\nAnswer: 56685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 = 15*b - 40*b. Suppose 26 = 3*u - u. What is the highest common factor of u and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147558821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (31 + -25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/27*((-56)\/16 - -5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:37 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24616 divided by 1448.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1786\/(-836)*-22)\/(((-2)\/(-2))\/((-2)\/2)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19821160?\nAnswer: 2, 5, 137, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.35 (b) -1\/5 (c) -2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491519 is divided by 163839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioffiiiioioi. Give prob of picking 3 i and 1 f.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3342 - 3216 = 14*m. Let o(z) = 2*z**2 - 9*z + 9. Let i(u) = 1 - 3 + 6 - 4*u + u**2. Give m*i(h) - 4*o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfrf when four letters picked without replacement from ffrfffrfrdssffsmfrf?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305112 divided by 152556.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/735 + m**6\/420 - m**5\/105 - 41*m**2. Factor z(t).\nAnswer: 2*t**2*(t - 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80365.\nAnswer: 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6192561ng in tonnes?\nAnswer: 0.0000000000000006192561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 20*i - 35. What is the units digit of h(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 + 4*x + 28. Let d(i) = -69*i**2 + 133*i**2 - 10*i - 46*i**2 - 84. Let g(w) = -8*c(w) - 3*d(w). Factor g(a).\nAnswer: -2*(a - 2)*(3*a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -133, 625, 1897, 3683, 5983, 8797?\n\"Answer: 257*o**2 - 13*o - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 + 1 = 0. Suppose -3*u = -u - b. Solve -4*m = -u*m + 4*l + 2, -3*m + 5*l = -8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9ab (base 13) to base 12\nAnswer: -b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 11. Let r = -19 + i. Let v(a) = 2*a + 2. Let s(q) = -1. Determine r*v(o) + 2*s(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 2718.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(2\/17)*h))\/h*h**(-2\/27))**42 assuming h is positive.\nAnswer: h**(-12572\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.378 and -1.\nAnswer: -1.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j - 5. Let l = j - -6. Suppose l*s = -3*a + 12, s = -3*a - a + 4. Solve -4*h - t + s*t - 9 = 0, 4 = -h - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -8*b + 69. Let l(w) = 13*w**2 + 2*w + b - 12*w**2 + 5*w. Calculate l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c + 406. Let z(p) = -5*p**2. Give g(z(o)).\nAnswer: 40*o**2 + 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - 0.87. Let p = s - 0.3. Let w = 1 - -4. What is the second smallest value in p, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2*-1*2. Let g = 9 + h. Let y be 3 + (-8 - -2) + 7. Solve g*x + y = -11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -908*v - v**3 - 27*v**2 + 3 - 923*v + 1829*v to q*v**2 + r*v**3 + h*v + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, g: 3, k: 1, m: 3}. What is prob of sequence gm?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 371287 times -2.47\nAnswer: -917078.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/5 (b) 11 (c) 7 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0, -343, -3.6, 3\/5, -7\/40?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -344 - -165. Let t = u - -178.9838. What is t rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6*i*i*i**(2\/7))**(5\/8) assuming i is positive.\nAnswer: i**(-95\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.01 - 4. Let y be (4\/(-14))\/(80\/(-140)). What is the fourth biggest value in n, 3, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3725 = 4*f, -145*r + 5*f = -143*r - 2445. What are the prime factors of r?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84809*y**5 + y**4 - 118*y**3 + 7228990*y**2 wrt y?\nAnswer: -5088540*y**2 + 24*y - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*f + 14 = 0, 8 = -1030*f + 347*f + 340*f + 339*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -10*y - 15*y. Suppose y = 4*a - 2 - 6. Factor -2\/7*b**a - 2\/7*b**3 + 0*b + 0 + 2\/7*b**4 + 2\/7*b**5.\nAnswer: 2*b**2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 0.4, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 7. Calculate the remainder when (-10)\/l + 210\/9 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 2. Let g be (3\/(-4))\/(z\/(-8)). Factor 12*l + 4*l**3 - 12*l**2 - g*l**4 + 11*l**3 - 12*l**2.\nAnswer: -3*l*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 = 215*z - 1846 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4412185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 161. Suppose 111*d = t*d - 2205. Calculate the greatest common divisor of 189 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*x + 1 = 3*x, 5*x = -2*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + -4. Let t = -10 - s. Calculate the greatest common factor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5215.\nAnswer: 26075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 4. Let c(p) = p**2 + 9*p + 11. Let i be c(x). Sort i, -3, -1 in descending order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8552363, -2\/3, 0 in decreasing order.\nAnswer: 0, -2\/3, -8552363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 + 865*l**3 - 29325*l**2 + 228375*l = 0. Calculate l.\nAnswer: -203, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572477467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 + 19*n**4\/24 - 17*n**3\/6 + 7*n**2. Let g be c(-21). Is g - (24\/14 - (-2)\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16764 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/2))\/(r**(-2)\/r)*(r\/((r\/r**(2\/7))\/r))**12 assuming r is positive.\nAnswer: r**(293\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 89*f + 26 - 705 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.925756 months in millennia?\nAnswer: 0.000243813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 12. Let u be k(11). Sort u, 6, 2.\nAnswer: u, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -112. Let u be (-28)\/(-12) + 20\/y + -1. Solve -4*b + 0*h = h + 12, -28 = u*b - 4*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**4\/12 + 7*x**3\/3 + 8*x**2. Give b(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1344890 by -268978.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r + 0*r - 12825 = 0. Let w = r + -415. What is the remainder when w is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 9. Let d be y(11). Suppose 5*c = c - 16, -2*g - c = -d. Calculate the remainder when 89 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80 - -2) + (263 - 114).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f. Let j(d) = 1311 - 651 - 660 + 11*d. Calculate j(a(x)).\nAnswer: 176*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37056 + 37056.00017549. What is n rounded to six decimal places?\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(162) - (-5 + sqrt(2) + -1 + sqrt(2)).\nAnswer: 4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 12*q**2 + 12*q + 16. Let d be g(13). What is the second derivative of 5*i**3 + 4*i + 0*i + i**3 - 3*i**d wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = -4*a + 61, 2*a = 13*i + 39 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-12)\/(-24) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 8, u: 5}. What is prob of picking 1 t and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -236, -350, -464, -578?\n\"Answer: -114*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228667.43 * -23.\nAnswer: -5259350.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 628.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/8 + 603*z**2\/8 - 121203*z\/8 + 8120601\/8.\nAnswer: -(z - 201)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 2.1 (c) 5 (d) -3 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(40) - 5*2*sqrt(18))\/(sqrt(27)\/(sqrt(3)*1) + sqrt(81)\/(sqrt(9) + sqrt(81))).\nAnswer: -38*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {v: 2, a: 4, u: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.4. Let h = 0.2 + n. Let b = -0.8 + h. What is the second biggest value in b, -7, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 + 273. Let y = 12 + -12. Solve -g - 2*g + q = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/z**11)**(-16\/5)\/(((z**(-2\/7)\/z)\/z*z)**(9\/10)*(z\/(z**(-1\/3)*z))\/z*z**(-5)) assuming z is positive.\nAnswer: z**(8993\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (-4*sqrt(245) - sqrt(245)))*-6*1 + 4 + (3 + 4 + sqrt(245) + (sqrt(245) - (sqrt(245) + 3 + sqrt(245) + -1)) + sqrt(245))**2.\nAnswer: -182*sqrt(5) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 55 - -2 - (-1 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -788 (base 11) to base 12.\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r. Let f(a) = 3*a - 1. Let b(z) = -3*f(z) + 2*y(z). Determine b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -12, 3\/92, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*q + 2368 - 4733 + 2365.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 112536045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4 - 2*z**3\/3 + 3*z**2. Differentiate m(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + (sqrt(140) - (sqrt(140) - (1*sqrt(140) - sqrt(140))*-1)))\/(5*(sqrt(7) + (sqrt(84)\/sqrt(300) - sqrt(7)) - sqrt(7))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8672014*z**2 - 12042390*z.\nAnswer: 17344028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -45, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7 + 265*(-13)\/455.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 19317?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 2, -2\/5, -2\/21, 0.5 in descending order.\nAnswer: 2, 1.4, 0.5, -2\/21, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15628 - 9149. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*q**3 - 5*q**4 + 133*q**3 + 2*q**2 - 2*q**5 - q**5 + q**4 - q**4 + (-2 + 1 - 4)*(-2*q**5 + 0*q**4 + 0*q**4).\nAnswer: 7*q**5 - 5*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**6\/6 + 5*y**4\/12 + 8*y + 10. Let g(a) be the first derivative of f(a). Find the third derivative of g(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 24*t**2. Let s be y(-1). Let q = s - 16. Solve -2*x - 5*n + 22 = -n, 0 = 4*x - 5*n + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1776*a**3*h**3 - a**2*h**3 + a*h + 7*h**3 - 171*h wrt a?\nAnswer: -5328*a**2*h**3 - 2*a*h**3 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899854 divided by -12674.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5236242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.32 rounded to zero decimal places?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(200) + -2)**2 - (3 + sqrt(200) + -2)**2).\nAnswer: -30 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1786, -4600, -9722, -17920, -29962, -46616?\nAnswer: -68650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 951*q - 139*q**2 - 951*q to the form a*q + b + p*q**2 and give p.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 57. Calculate the highest common divisor of 176 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.36 - 4.26. Let k = 2\/49 - 16\/49. Which is the smallest value? (a) 0.1 (b) k (c) s (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyygytoyoyggoyyyy. Give prob of picking 1 o and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5033 + -260. Let z = s - 95527\/20. Let o = 1393\/6 + -572\/3. What is the common denominator of o and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0523 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478128 to the power of 1\/2, to the nearest integer?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Solve -5*l - 37 = -g*s, -18 = 3*l - 4*s + 3*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 34042.28.\nAnswer: -680.8456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:45 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-16)*10\/(-6)*(-1108)\/277\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v + 5*z = 15, -z = 5*v - 99. Suppose 2*o - 84 = -v. Solve -5*f**2 - 64 + 3*f**2 + o*f - 2*f**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 + -312. Let w(f) = -7*f + 1. Let b be w(-3). What is the highest common divisor of l and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -10*1)*(-53 - -52). Suppose 6*f + 216 = c*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*c**2*r + c**2 - c*r - 1313*c + 35803*r + 5 wrt r?\nAnswer: 22*c**2 - c + 35803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/8 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r - 5. Let m(d) = 2*d. Let i be m(-5). Let l = r - i. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 3*r - 14*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l**2 - 10*l - 6. Suppose -8 = 2*x, 0*c - x = 2*c + 150. Let o = c - -68. What is j(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00815 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(9\/((-135)\/10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 + 8 = 0. Solve s*z = 1 + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33264\/(-1720224)*((-1)\/2)\/(21\/(-24))\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -361.58 - -638100.\nAnswer: 637738.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {q: 2, z: 2, p: 5, s: 4, h: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.721394 rounded to two dps?\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.631 - 0.031. Let u = k - 9. Let p = 0.9 + u. What is the third biggest value in p, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2909126 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22954139.\nAnswer: 13, 1765703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 3*z)*(1 - 3*z - 1 + (-4 + 1 + 2)*(0*z - 2*z + z))*(3*z**3 - 2*z**3 - 3*z**3).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 68*w - 5918. Give p(87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1177901 = 183*u + 1188515 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + -1)\/(296\/(-32)). Let o = b - -1599\/407. Find the common denominator of 23\/3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 10. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-1 - -1 - 7\/14). Suppose -3*h = a - 5*a + 40, h + 5*a = -c. Let f(k) = k**3 + 17*k**2 + 10*k - 9. What are the prime factors of f(h)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 25*r**2 + 2*r - 2980. Let z(u) = 137*u**2 + 11*u - 14899. Determine -11*y(i) + 2*z(i).\nAnswer: -i**2 + 2982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2105 = 2*w - 2*f - 3*f, -4155 = -4*w - f. Let u = w + -550. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76218 and -0.5?\nAnswer: -38109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 5767536 and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:56 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t**2. Let u(o) = -7*o. Let q(a) = -19*a. Suppose -77 = -6*m - m. Let l(w) = m*u(w) - 4*q(w). Calculate p(l(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 + 62*c**2 + 3*c**3 - 35*c**2 - 4*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6378419 is divided by 2126112.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -16) + -10 + 15 - (-1 + 17)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 995.2 - 885. Let n = 110 - j. Suppose 0 = h - 2*h + 4. Which is the second biggest value? (a) -0.4 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.23017079 rounded to four dps?\nAnswer: -1.2302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((22\/6)\/(1\/6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 12 = 0. Let r = 45 - 43. Solve -c = r*n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:48 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)\/(k**(3\/4)*k*k))\/(k**(2\/7))**20*(k**(-1))**2*k**(4\/3)*k*(k\/k**6)\/k*k assuming k is positive.\nAnswer: k**(-12301\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + h = -5*b + 9, 0 = -b - 4*h + 15. Suppose -332 = -b*r + 410. Let x = r - 4. Calculate the remainder when x is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -496830*c**5 + c**4 + 7*c**3 + 2*c**2 + 43268957 wrt c?\nAnswer: -29809800*c**2 + 24*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-1)*200\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - -2) - (14 + -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f*f**(-1)*f**(-1\/3))\/((f**(4\/9)*f)\/f**(-1\/4)) assuming f is positive.\nAnswer: f**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*r**2 + 2)*((4*r - r + 12*r)*(-2 - 3 + 4) - r + 2*r + 0*r + 3 - 3 + r + (2 + 1 - 2)*(-4*r + 2*r + 0*r)).\nAnswer: -135*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 47. Suppose -4*c - k = -9. Let j = -8 - c. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:58 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*(-3412)\/(-2). Let u = t + -5995\/7. Let w = -96047\/10 + 9595. What is the common denominator of u and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/3 (b) 2 (c) 2\/30933 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/60 + 2*l**2. Suppose -5*o - 12 = 8. Let b(a) = 2*a. Let g(p) = 3*p. Let c(s) = o*b(s) + 3*g(s). Determine c(n(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 13*c + 13. Let y(s) = -s**2 - 6*s + 6. Let l(n) = 6*x(n) - 13*y(n). Let k(m) = 3*m**2 - 4*m**2 - 5*m**2. Give -4*k(a) - 22*l(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 3*u - 4 = 0, -2*u = 4*l + 4. Let s be (l\/2)\/(18\/(-144)). Suppose 5*h = 2*q - 47, -3*h + 102 + 5 = s*q. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 849106.26 minutes?\nAnswer: 589.657125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561694 and 541660.\nAnswer: 410036620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 192*q**3 + 53*q**2 + 14*q. Let r(w) = -95*w**3 - 27*w**2 - 6*w. What is 4*c(k) + 9*r(k)?\nAnswer: -87*k**3 - 31*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*-3*-3 - sqrt(65)) + 4*sqrt(65)*1)\/((sqrt(35) - (sqrt(140) - sqrt(35)))\/sqrt(7) - (sqrt(5) - sqrt(605)*-2)).\nAnswer: 5*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14)*2597\/106. Let f(j) = 24 + 6*j + 11 - 2. What is the hundreds digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v - 3*v)*(-2 - 2*v**2 + 2).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2846 - -7047. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*d + 15, 8*d + 15 = 5*f + 3*d. Suppose -f*v + 16 = -w, v - 30 = 5*w - 4*v. Let x(m) = -20*m**3 - m - 1. What is x(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (-27 - -55)*(-6)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 31*k - 2*k**2 - 14 - 7*k - 9*k - 1. Calculate g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 3*2*sqrt(700))**2 + -5*-2*sqrt(567)*-5.\nAnswer: -330*sqrt(7) + 25203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000205113 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 14*a**2 - 14*a + 17. Let q be f(13). Suppose q*u - 3*r = 59, 3*r + 2*r = -3*u + 37. What is the lowest common multiple of u and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -25, 129823*k - 129824*k = 2*b + 9 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 2 - 13 - 4. Is r(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3461 or -23884?\nAnswer: -23884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/96 + 12\/2)*-8 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012712 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) 1 (c) -12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 24 = -16. Let i = f - -10. Suppose i = 2*z - 0*z - 8. Solve c - 7 + 4 = -z*a, 5*a = -3*c - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(-33)*(b\/b**(1\/7))**11 assuming b is positive.\nAnswer: b**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 330*u**2 - 144 + 283.\nAnswer: 330*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a7668 (base 12) in base 15?\nAnswer: -28b5ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f - 701. Let d be h(50). Which is bigger: d or -1\/953?\nAnswer: -1\/953","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -29 + 66 + 42*b - 119. Let f be i(2). Solve f*y + y + 3 = 0, 2*u = -y + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143717 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3301*l - 6605. What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-27)*l**(-24)*l\/(l*(l*l\/l**(-3))\/l)*l*l\/(l\/l**12*l))**(1\/17) assuming l is positive.\nAnswer: l**(-43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -26?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9186 + -9183. Is 140\/61 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28208950 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 122558004 divided by -1976742\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1275, 1\/7, 3, -5104 in ascending order.\nAnswer: -5104, -1275, -0.1, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w = -25*w + 173 - 503 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*j - 171644, b = -j - 1164 - 41754. Let c = b - -3089921\/72. What is the common denominator of 91\/60 and c?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 5*j - 14 + 37 - 19 - 2*j**2. Let a be y(2). Suppose -a*p = -236 - 24. What is the remainder when 50 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 17*f + 700 = 0. Let i = -59 - f. Suppose 0 = -13*t + i*t + 2. What is the greatest common factor of t and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c + 0*c)*(0 + 1 + 2) - 4*c - 3*c - c + (c + 5 - 5)*(-4 + 4 + 1) - 2*c + 4 - 4 - c - 2*c + 2*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 4, n: 9}. What is prob of sequence nw?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2.2. Let t = j - 5. What is the closest to 1\/4 in t, -4, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h)**12 assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, a: 4, z: 1, c: 2}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:10 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 - 2*v**2 - 6*v + 3. Let l(b) = -5*b**3 + 2*b**2 + 7*b - 4. What is -3*l(z) - 4*r(z)?\nAnswer: -z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:13 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-4) - (-70 + 76)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let l be v(-4). Let g = -12239\/13 - -942. Let r = -8\/39 + g. Sort r, 4, l.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564 divided by -204.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((6\/(-2))\/(-39)). Let m be 2\/1 - (-2 - 0)\/1. Put o, 3, m in descending order.\nAnswer: m, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463999 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 191183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-6)*8\/18. Solve 4*k + 30 = -c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:43 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 2*b**2 - 2*b**2)*(4*b - 3*b + b + (0*b - 5*b + 3*b)*(5 - 1 - 6)) + 3*b**3 + b**3 - 2*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619527110.\nAnswer: 2, 5, 19, 3260669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*1\/8*30?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81, -395, -1093, -2319, -4217?\n\"Answer: -24*o**3 - 48*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 8 = 18*b. Calculate the remainder when 71 is divided by (42\/(-36) - b)*-138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 0*f**2 - 6\/25*f**5 - 3\/5*f**4 + 156*f - 2\/75*f**6 - 8\/15*f**3. Factor y(s).\nAnswer: -4*s*(s + 1)**2*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805476.4 nanograms to milligrams.\nAnswer: 0.8054764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/54453223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 168, 9\/2, 1\/3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddiddidddlliiiid. Give prob of picking 1 i and 2 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:07 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1613*y**3 + 2*y**2 - 6. Let s(x) = -11678122*x**3 + 14481*x**2 - 43443. Calculate 14481*k(h) - 2*s(h).\nAnswer: -1609*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53972 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 46. Calculate the remainder when 14 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/207282 and -4\/2895?\nAnswer: 1036410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1771, -3984, -7083, -11068, -15939?\nAnswer: -21696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l + 553. What is the smallest common multiple of z(-55) and 319?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/6*g**6 + 0*g**4 + 0*g**5 + 0*g**2 + 0 - 1\/3*g**3 + g. What is the second derivative of x(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112582, 112520, 112362, 112060, 111566, 110832, 109810?\nAnswer: 108452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.033996763 - -0.034. Round q to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*j**5 + 25362*j**4 - 43431*j**3 + 18090*j**2 = 0. Calculate j.\nAnswer: 0, 5\/7, 1, 1206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -17*a + 475. Calculate the remainder when 12845 is divided by z(27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 16*c + 2. Let p(h) = -9*h**2 - 33*h - 5. Determine 2*p(u) + 5*y(u).\nAnswer: 2*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.8 + -1. What is n rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z - 18 = -3*x, 5*z + 4*x = 79. Suppose -2*m + 2*d = -46 - 62, -m + 2*d = -51. Calculate the remainder when m is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217497 is divided by 72396.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12456 + -12456.09756. Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7811, 8092, 8783, 10088, 12211, 15356, 19727, 25528?\nAnswer: 32963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1137*g - 783*g + 212*g)*(4 - 3 - 2)*(-g**2 + g**2 - 3*g**2).\nAnswer: -5124*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (79012\/(-12))\/((-11)\/198). Suppose 0*p = -3*p - 3*l + r, -l = -3. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 449996.8 years?\nAnswer: 5399961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b + 2. Suppose 29 = -5*f + 4. Let x(u) = -u. Let t(o) = f*x(o) + q(o). Differentiate t(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 306*m\/7 - 303\/7.\nAnswer: -3*(m - 101)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 61*w**2 + 10*w + 11. Let i = 59 - 65. Is g(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7554*x**4 + 546*x - 26?\nAnswer: 90648*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n**2 + 12*n - 2207 wrt n.\nAnswer: -6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 25. Suppose 139 = 4*k + 19. Calculate the highest common divisor of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 437, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42666, 1, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284215 + 126475614\/445. Calculate the common denominator of -43\/801 and k.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/(((h**(-3\/10)\/h)\/h)\/h)*h)*h)*h\/h**(1\/26) assuming h is positive.\nAnswer: h**(342\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 30*s**2 + 57*s + 57. Let v(f) = f**3 + 7*f**2 - 14*f - 14. Let b(k) = 2*p(k) + 9*v(k). Factor b(d).\nAnswer: 3*(d - 2)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 26*f = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61219981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x - 115*x = -51*x - 2948 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*h - 2 - 6 = 0, -5*h = 4*n + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -635, -1422, -2525, -3944, -5679, -7730?\n\"Answer: -158*k**2 + 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*u**3*w - k*u**3 + 20*k*u**2 - 182*k*u*w - 4*u**2 wrt w?\nAnswer: 2*k*u**3 - 182*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x = -77*x + 16, 2*p + 5*x = -14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*n - 34. Let v be (4\/12)\/((-4)\/n). Is v > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 10*q - 6. Let a be f(-9). Suppose a*r - r = -12. Let k(j) = -j**2 - 6*j + 4. Let s be k(r). Solve 0 = -s*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -3.3. Let p = u + -4. Let d = -844 - -854. Put -2\/7, p, d in decreasing order.\nAnswer: d, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341\/(-84) + 2\/(-7) - 74\/(-296)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137d4 (base 16) in base 11?\nAnswer: -54a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7024867?\nAnswer: 23, 43, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*n, 5*n + 0*n = -4*v + 24. Suppose 7*t + 22 = 6*t - 5*p, -p = -t + n. Suppose u + 5*i = -16 + 43, 5*i = -t*u + 121. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/24 + 5*s**3\/6 + 3*s**2. Let p be c(-5). Suppose 2 = i, 2*u - 4*i + p*i = 134. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*d - 1677 + 6759 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**3 - 4*w**2 - 4*w - 11. Let d(a) = -100*a**3 - 45*a**2 - 45*a - 120. Let m(n) = -4*d(n) + 45*r(n). What is the first derivative of m(z) wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 0.6, 2\/27, -0.03, -4.067, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.77 (b) -4 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5112800 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 - ((74 - 15) + -44)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + d - 37013 = 24*x, -x + 9257 = -d. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**3 - 25*a**2 + 2*a - 5. Let l = 15914 - 15911. Let b(c) = 14*c**3 + 76*c**2 - 6*c + 14. Calculate l*b(o) + 8*s(o).\nAnswer: 2*o**3 + 28*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*k + 56*k - 310 = -48*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*i + 370*i - 93*i - 91*i - 91*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-1*(-2 + 3)). Suppose -4*p - p = -j. Suppose -4*o + 2 = -p*o. What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8179*m**3 - 8*m**2 - 12*m. Let p(g) = -184501876*g**3 + 180466*g**2 + 270699*g. What is 90233*o(c) + 4*p(c)?\nAnswer: 8203*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = 20, 0 = 4*q + 4*r - 44. Find the common denominator of (58\/q + -4)\/((-9)\/(-214)) and 10\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 260.0353um?\nAnswer: 0.0000002600353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1057.9 - -1109. Let l = 365.1 - a. Let f = -313.871 + l. Round f to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 121, -4 in decreasing order.\nAnswer: 121, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 1.7. Let d = -54 - -16. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 880 and 55?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26564227*p**2 - 75020*p + 40?\nAnswer: 53128454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1879 = 2*z + 24077, -4*j + 4*z + 22188 = 0. Suppose 4*r = 2172 + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5 - 698*v**4 - 29922*v**3 + 46112*v**2 - 15488*v = 0.\nAnswer: -88, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 - 315*t**2 + 2268*t + 5820 = 0. Calculate t.\nAnswer: -2, 10, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -68. Suppose -y*q + 20 = -5*v, 13 = -q + 4*q - 4*v. Solve -4*m + 2 = -q*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 13535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -303423150 (base 6) to base 3\nAnswer: -100210212012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:38 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccecccccc.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10927181095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((15\/(-18))\/(-5)). Let c = k - 4. Differentiate -c - 2*h**4 + 2*h**4 + 2*h**4 - 1 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18865846 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 641*n - 630. What are the prime factors of a(6)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/64317 and 67\/2024.\nAnswer: 11834328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 93\/2)*(-140)\/(-105). Suppose 0*l + o = -5*l + 12, 0 = 4*l - 4*o. Calculate the common denominator of l\/(-28)*t*-1 and 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t + 2. Let h be (-24)\/(-8) - 10\/2. Let x be z(h). Suppose -9 = -l - 3*s, 0 = x*l + l - 5*s - 105. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196690 minus 0.2?\nAnswer: -196690.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1\/6 (c) -2\/7 (d) -2 (e) -1322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 c when four letters picked without replacement from cooicikcock.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - -2) - 4 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/9)\/(-5)*8\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 74 = -7 - 39 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 - 3 - 3 + 4 - 3 + 5 + 0 + (1 - 2 - 1)*(3 - 4 + 0) + 6 - 2 - 2 + 79 + 1 + 39)*(-17*m**5 + 69*m - 69*m).\nAnswer: -2125*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/15 + 518*j**2\/15 - 876*j\/5 + 1056\/5 = 0. Calculate j.\nAnswer: -264, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -17)*(-12)\/(-20). Let b(l) = -l**2 - 2*l - 3. Let y(h) = -5*h**2 - 9*h - 11. Give s*b(q) + 2*y(q).\nAnswer: -q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 1 + 5. Let f(j) = -7 + 6 + 4*j**h - 1. Suppose 4*t - w - 5 = 0, 0 = 5*t + 2*w - 16. Let g(z) = -5*z**2 + 3. Determine t*g(d) + 3*f(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/5278 and 17\/275964?\nAnswer: 1931748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*z + 47*z - 5, -2*x + 7*x + 5*z = 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + b)*(2 - 2 + 2*b) + 1 - 1 + 2*b**2 + (5 - 3 - 3)*(3*b - 3*b + 9*b**2).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 1. Determine b(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 390 - 386. Suppose a = 2*v + 2*a - 4, 0 = -l*v + 3*a - 12. Let z(x) = x**2 + x - 4. What is z(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*c = 42. Let w(d) = d**3 - 20*d**2 + 2*d - 28. Let b be w(20). Let p = b + c. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7663?\nAnswer: 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093758058.\nAnswer: 2, 31, 17641259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-4) - (-2)\/8. Let w be -2 + (1 - -1) + y. What is the units digit of ((-2)\/w)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-7)\/(-378)*6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000112031 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**2 + 84194315*y + 84286710?\nAnswer: 2*y + 84194315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 14. Suppose 4*s - b = 4*a, -s - 7 = -4*s - 4*a. Find the first derivative of -4*q**2 - 2 + s*q**2 + 4*q**2 wrt q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25144 (base 8) to base 6\nAnswer: 122124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 19 - 1 = 0. Let b(f) = -6*f + 13*f + j*f. Let w(l) = -l**2. Give w(b(r)).\nAnswer: -121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 5 - -3 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 315, 1275, 2877, 5121?\n\"Answer: 321*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*w + 8 = -3*f, 2*w = 4*f + 10. Suppose -n - 5 = 0, 2*g + 1 = -3*n - 18. Suppose l + 0*l - 4 = 0. Put f, l, g in decreasing order.\nAnswer: l, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/(-34) + 14\/119. Let o(b) = 62*b + 2. Give o(i).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + 52\/10. Suppose -3*h + t*h = 462. Let j = h + -134. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 7\/6*x**3 + 3\/8*x**2 - 7\/24*x**6 - 1\/2*x - 11 - 3\/5*x**5 + 1\/4*x**4. Let z(p) = 0. Calculate p.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11213365*x + 50260. Let i(d) = 1785*d - 8. Determine -12565*i(l) - 2*j(l).\nAnswer: -1795*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = u + 4*u. Let k = u - 4. Sort k, -4, -3 in ascending order.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2.8. Round r to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)*(-9 - -5). Suppose 0 = -9*v + 18. Solve v*s = -c - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-175)\/(-10)) + (-1560)\/150.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116559\/54 + 6\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11041 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -139 (c) 3\/5 (d) 1 (e) 3 (f) 10 (g) -0.038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -158, -55, 48, 151, 254, 357?\n\"Answer: 103*z - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-48)\/(-30)))\/((-155)\/(-2356)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 34. Let p(u) = -45760*u. Give a(p(z)).\nAnswer: -2093977600*z**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 10*m**2 - m + 4. Let t be r(-10). Let z be 777\/t + (-6)\/4. Let i = -38 + z. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) 0 (c) 0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (202\/(-5))\/(14\/(-8)*(-2112)\/(-9240))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, -4, 0, -7\/20, -7002, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 37*t - 39*t. Which is the fourth smallest value? (a) t (b) 0.7 (c) 0.2 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*z**6 - 25*z**5 + 11*z**4 - 33*z**2 - 231?\nAnswer: 4920*z**3 - 1500*z**2 + 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325112 (base 6) in base 13?\nAnswer: 27713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-8)\/(-6528)*16?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -d + 1146. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r + 18 - 18.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + (8 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.29868454 rounded to one dp?\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -82. Let f = 15 - 15. Suppose -v*d + 18 = -f*d. What is the greatest common divisor of 27 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) + -2 + (-1 + sqrt(98) + sqrt(98))**2*1)*2.\nAnswer: -70*sqrt(2) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050792148 rounded to five dps?\nAnswer: 0.05079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 114276.0825 to the nearest one hundred.\nAnswer: 114300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*i = 29, 8*f - 19 - 31 = 2*i for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58*1\/(-4)*-2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796733.8 meters in kilometers?\nAnswer: 796.7338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let z(v) = 0*v**2 + 2 - v + 0*v - 1624999*v**3 - h*v**2. Let r be z(2). Round r to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ekedykkyekedeeeeek.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.5, 0.26, -2, -0.0317.\nAnswer: -2, -0.5, -0.0317, 1\/9, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 3*b + 6*b + 6*b + 3 - 3 + 2*b + b - 4*b + (1 - 1 - 2*b)*(-2 + 2 - 1) + b - 3*b + 4*b - 4*b + 3*b + 0*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/17556*297)\/((-6)\/(-168))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446.\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5314865 and 9065.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 18 = 2*q - 8, -2*q + 4*z + 30 = 0. Suppose 20*x = q*x. Solve x*c + 6 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-277389)\/51282*(-100)\/(-7) + 6\/22.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from jefsxuxexuxsfeexxu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0856704 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*l - 2*f + 10, 5*l - 5*f - 15 = 0. Let i(a) be the first derivative of -312 + 0*a**l + 330 + a**2. Let z(j) = j - 11. Determine z(i(g)).\nAnswer: 2*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174174933?\nAnswer: 3, 58058311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*s + 92 = 37, 70 = 3*w + 2*s. Suppose 3*z - w = z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 60*m - 2*m**3 + 10 - 7754*m**2 - 7748*m**2 + 15502*m**2.\nAnswer: -2*m**3 - 60*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 11}. What is prob of picking 2 k and 1 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + -aeb?\nAnswer: -b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - -21 - -79413 - -11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1. Let i(n) = -116*n**2 - 1404*n - 132. Let x(j) = -i(j) - 12*p(j). Find y, given that x(y) = 0.\nAnswer: -12, -3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023936?\nAnswer: 2, 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 48 + 0 + -6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:51 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in -5, 31, -2\/13, 6, 0.6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162899791.55 less than -875?\nAnswer: -162900666.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/8921 and -40\/680429.\nAnswer: 7484719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a65 (base 11) in base 15?\nAnswer: -1869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (4 + sqrt(700) + -4 + sqrt(49)\/sqrt(7))**2).\nAnswer: 3376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r + 22 = 55*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = g - 4*t - 172, t + 368 = g. Suppose -w + g = 5*v, 0 = v - w + 5*w - 92. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**2 + 41*n. Let m(k) = 315*k - 2. Calculate t(m(x)).\nAnswer: -893025*x**2 + 24255*x - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 48*s - 58. Is 11 a factor of p(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*r + 7332, -i - 18353 = 6*r - 11*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**3 + 2*g**2 - 2*g + 7. Is y(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 308 = -796. Suppose -4*j + t = 3*b - 422, -5*b - 2*j + 1010 = 0. Let v = b + -134. Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6551 a factor of 33927629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 10. Let l(b) = -7*b + 11. Calculate -6*k(a) + 5*l(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3673320 or 18366594\/5?\nAnswer: 3673320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*c**3 + 22*c + 28\/3 - 36*c**2 = 0. Calculate c.\nAnswer: -2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4765, 4790, 4851, 4966, 5153, 5430, 5815, 6326?\nAnswer: 6981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -757, 0, 20, -6 in increasing order.\nAnswer: -757, -9, -6, -3, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132176 and -0.139.\nAnswer: -18372.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15456999 is divided by 3625?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/24 - o**3\/3 + 3*o**2. Let n(q) be the first derivative of q**2\/2 + q + 11. What is 4*n(k) + 3*v(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450119408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 232276302 and -13.1524?\nAnswer: 232276315.1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 946293215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 38736, -9, 5 in decreasing order.\nAnswer: 38736, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3613 + 33*y**2 - y**3 - 3613 in the form p + b*y**2 + z*y + j*y**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Let n(w) = 1641667*w. Determine f(n(j)).\nAnswer: -5390141077778*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5 - 223*o**4\/4 - o**2\/2 - 113*o - 2385. What is the second derivative of m(c) wrt c?\nAnswer: -60*c**2 - 1338*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k + 1255. Let o(h) = 5*h + 627. Let d(r) = -7*o(r) + 4*s(r). Is d(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 13\/50 (c) -0.1 (d) 2 (e) -1\/11 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 5. Let h be k(-4). Find the third derivative of -25*q**5 - 14*q - 2*q**h + 18*q**2 + 14*q wrt q.\nAnswer: -1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 9*s + 4. Calculate r(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 8*p + p)*(259*p - 259*p + 3*p**2 + 7*p**3).\nAnswer: 35*p**4 + 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.6. Let r = -0.7 - -1. Let d = r + l. Is d at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2\/9 (b) 23 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i + 150. Let z be f(-14). What is the fourth biggest value in z, -11, 5, 0.6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-4)\/w))\/w*w*w\/(w\/(w*((w*(w\/(w**(-7)*w)*w)\/w)\/w)\/w))*w)\/(w**3)**(-7))**(2\/19) assuming w is positive.\nAnswer: w**(70\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. Let h(g) = 982*g + 6. What is h(b) - 4*n(b)?\nAnswer: 978*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 727*0.2\nAnswer: 145.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3097 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f - 5. Let p(u) = 46*u - 14. Let i(z) = 17*b(z) - 6*p(z). Let c be i(0). Which is smaller: c or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k + 37. Let g be u(-7). Let q(h) = -10*h**3 - 7*h**2 - 7*h - 9. Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(637) + sqrt(637)*-2 + -5 - sqrt(637)) + 4)**2.\nAnswer: -112*sqrt(13) + 2564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 8. Suppose 0 = 3*u - 3*o - 6 - 9, -4*u + 5*o = -18. Let q(k) = -3. Let s(t) = u*q(t) - 2*f(t). Let g(h) = -h - 3. Determine 5*g(j) - 3*s(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5432)\/210 - -21) + (-2)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose r*b - 3*l - 4 = -4*b, 0 = -2*l. Let d(t) = 0 + 0 - 2*t**3 - t**2 + b. Calculate d(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 296.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i + 90 = 0. Let l = -13 - i. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:58 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29929200*i**5 - 4*i**4*y + 93084*i + 171*y wrt i?\nAnswer: -598584000*i**3 - 48*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 99*q**2 + 53*q + 150. Let m be u(-50). Put m, -59, -1 in descending order.\nAnswer: m, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4630*w**2 - 15942 - 15944 + 31886 in the form o + c*w + y*w**2 and give y.\nAnswer: 4630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384*y + c + 33 = -1389*y, 5*y + 5*c = -45 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10113111 (base 4) in base 11?\nAnswer: -12482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 155.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*w + w + 6*w + (0*w - 3*w + 2*w)*(2 - 2 + 3) + 2 - 2*w - 2 + 2*w - 2*w + 3*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a**2 + 3*a**2)*(0 - 1 - 3)*(3 - 4 + 0).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -89\/2330360?\nAnswer: -89\/2330360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*m + 128*m - 92736. Is 46 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -26, 0.05, 4, 5, 0.3 in descending order.\nAnswer: 5, 4, 0.3, 0.05, -0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((-10)\/(-6)). Let y = 24236.7 - 24235.7. Which is the nearest to -0.2? (a) y (b) -2\/3 (c) z (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/(-299) + (-35)\/(-26). Do 2 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t + 0*t + (0*t + 2*t + 0*t)*(0 + 1 - 3) - 270 + 270 + 386*t.\nAnswer: 383*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*u = 15, 3*j - 2 = -2*u + 4. Find the common denominator of (-265)\/(-954)*(j - -11) and 485\/(-90) - (1 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2337 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 17106.\nAnswer: 17109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4 - 884862*f**3 + 3982473 wrt f?\nAnswer: 4*f**3 - 2654586*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 12*o - 15. Let u be f(-10). Suppose -4 = -3*c - 2*d, -c + 3*d + u = -0. Find z, given that 3\/5*z**3 - 3\/5*z + 3\/5 - 3\/5*z**c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12698237641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + 919041844.2?\nAnswer: 919041939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h - 106. Let m(r) = 28*r - 209. Let z(l) = -9*a(l) + 4*m(l). What is the derivative of z(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 19*b - 7 = 0, -z = -5*b - 21 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6*t + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1455, -2930, -4407, -5880, -7343, -8790, -10215?\n\"Answer: n**3 - 7*n**2 - 1461*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92449?\nAnswer: 7, 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 741756 = 10*v - 0*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(5\/3))**(-4\/9))**(15\/4)*(x\/x**(-4)*x**(2\/41))**12 assuming x is positive.\nAnswer: x**(22766\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h - 30*h - 60 = -41*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let m(w) = -w**2 - 4*w + 4. Let n(q) = 2*q**2 + 7*q - 7. Let k = -14 + 21. Let p(s) = k*m(s) + 4*n(s). Give p(i(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 + 1730\/240 + 2\/(-6) and -125\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*y - 10*y. Suppose -4*a + 4*g + 12 = 0, 20 = 4*a + y*g + g. Solve 10 = -2*t - t - 2*q, -4*t = -a*q - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b = -141516 - 415798 - 1573255. Is b 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 10:46 AM and 2:37 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14848308 and 2010150?\nAnswer: 1113623100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*c + 5*u + 25 = -1094*c, -80 = -c + 16*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + 84\/16. Suppose k + 30 = 2*k + f*o, -k + 3*o = -14. Solve 0*a + 5*a = -k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14155 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*t + 167 + 22, 0 = 4*t. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40.5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/(-7))\/5)\/(5*6\/(-390)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104669 and 116654?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1648*h - 1646*h - 18 = -5*i, -i + 5*h + 9 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - 23. Let a = 8 + u. Which is smaller: 9 or a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -4, -6, 9.\nAnswer: -6, -4, -2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t - 6. Let c be r(-4). Let b be -2*(-3)\/12*c. Is (-20)\/3*-3 + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3537023*h**4 + 1638*h - 10 wrt h.\nAnswer: 42444276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7787*q - 7795*q + 480 = 0. Let t be (4\/6)\/((-2)\/(-432)). Let x = q + t. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-6 - 43) - 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/60 - a**4\/24 - a**3\/6 + 4*a**2. Let u(s) = -3*s**2 - s - 2. Let t(b) = -12*r(b) + 3*u(b). Factor t(v).\nAnswer: 3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8753, -66700, -163279, -298490, -472333, -684808, -935915?\nAnswer: -1225654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 2. Let r be f(2). Suppose -v - r = -3*v. Let c(g) = 5*g - 3. Let a(o) = 4*o - 4. Let l(x) = 4*a(x) - 3*c(x). Calculate l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 35*x = 32*x - 5249, 4*x + 4 = 0. Calculate the highest common divisor of 86 and m.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/3 + 1. Let z(y) = -7*y**2. Let h(j) = 24*j**2. Let i(g) = -5*h(g) - 18*z(g). Calculate i(k(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 16731511.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*h = -2854, -182 + 5895 = 2*n - h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -746, -1108, -1452, -1772, -2062?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1132 and 283?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17237 = 244*w + 1394*w + 2419 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 64 = -9*i - 14 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/10)*c**(3\/4)*c**(1\/34)*c\/(c**(1\/2)*c)*c assuming c is positive.\nAnswer: c**(469\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 104, 158, 214?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -614 + 344. Let u = t + 463. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/2*(-408)\/1836)\/(-4).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/1)\/((-21)\/(-99)). Let u = -38 + z. Let w be 2\/8 - 2\/(-4). What is the second biggest value in -2, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11820 and 6.\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/11 and -91\/18530.\nAnswer: 203830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8436564, 8436562, 8436560?\n\"Answer: -2*q + 8436566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 66978*j**2 - j**3 + j - 66972*j**2 + 3. What is p(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -263, -285, -307, -329, -351, -373?\n\"Answer: -22*s - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 101*r**2 + 87*r + 1864. Determine d(-50).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 733.6582mg?\nAnswer: 0.0000007336582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c + 40. Let o be m(5). Factor -8*r**2 - 13*r**3 - 11*r**3 - o*r - 1 + 20*r**3.\nAnswer: -(r + 1)*(2*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142 + l - 54 - 85 + 1 to x + o*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 8. Let w = -14.3 - p. Let s = w + 0.4. Which is the second biggest value? (a) s (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*f**3 + 11*f**5 - 46*f**3 - 3*f**5 - 2*f**5 + 4*f**5 + (-3*f**4 + 2*f**4 + 2*f**4)*(-1 + 2*f + 1).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/((-7)\/(-14))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17113 + -17053. What is the remainder when 3310 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 5. Let f be o(-3). Which is the third smallest value? (a) 1\/2 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 0*y**2 - 5*y**2 + (931 - 931 + 81*y)*(6 + 36*y - 6) to j*y**2 + k*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3)\/v)*v)**(27\/2)\/(v*v\/(v\/(v*v**(1\/15)*v)*v)*(v*v\/v**(-15))\/v) assuming v is positive.\nAnswer: v**(944\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515753 rounded to the nearest one thousand?\nAnswer: 3516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 51. Give m(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*c**3 - 182690*c**2 + 15*c - 3*c**3 + 182698*c**2 + c**4 to the form b + k*c**3 + j*c**2 + n*c + o*c**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1749558, -1749557, -1749556, -1749555?\n\"Answer: g - 1749559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 18*d - 3*k + 22, 3*k = 5*d + 32. Find w such that -w**d + 1\/2*w**3 + 1 - 1\/2*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 367605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, -46 in descending order.\nAnswer: 0, -16, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41890 * 0.5\nAnswer: -20945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*j + 2*j**3 + 1 - j**2 + 36 + 11 - 10 - 181*j as n*j + m*j**2 + f + y*j**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3030282 and 3318?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -254437034.\nAnswer: -1\/127218517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 1, -0.2, -0.10137, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - ((-120)\/(-110))\/((-4)\/(-22))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -3*z - 29. Let x = z + 71. What is the remainder when 36 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.153, 2\/5, 0.04, 1\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8799980 = 5*r, 2*r - 1968872 = 5*m + 1551153. Round r to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/8*(27 + -55). What is the highest common factor of m and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 7d441?\nAnswer: -7d441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593002711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**3 - 3*g**2\/2 - 5*g + 168. Let n be k(-2). Solve -4*f + n = -3*f + 5*t, 0 = -f + t + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zooowzozowz. Give prob of picking 2 w and 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 1, q: 10, m: 1}. Give prob of picking 1 q and 2 y.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Let n be 4\/18 + 68\/18. Solve -n = 4*m + 4*b, 0 = z*m - b + 6 + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + -101?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1981.\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5744 + -28?\nAnswer: 5715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 - -0.02. Let m be 1\/27*(6\/(-3) - -8). Let u(l) = -l. Let y be u(0). What is the nearest to h in m, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55254989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g)*(-1 + 1 - 2*g) + (-4*g + 0*g + 2*g)*(-507*g - 906*g + 6135*g).\nAnswer: -9446*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-5 + 8 + -5 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*m - 2)*((-1 + 1 + 1)*(0 - 1 - 1) - 2 + 17 + 11).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789830599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6759405.\nAnswer: 3, 5, 150209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(187) - -1*sqrt(187)))\/(sqrt(55)\/sqrt(5)*2 + 4*sqrt(275)).\nAnswer: 12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 12*x - 567. Let f = 99 - x. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 42. Suppose -d*t - 3*i + 8*i + 34 = 0, t - 5*i = 17. Suppose 7 = b - 4*g - t, 3*b - 3*g = 27. Solve -7 = -c + p, -p - 7 + b = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 153*d + 85*d)*((-5*d + d + 5*d)*(0*d + d - 4*d) + 2*d - 2*d**2 - 2*d).\nAnswer: -1185*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - (2 + -17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/((-1)\/(-3)*36\/(-24))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190846 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from glswwgffyyws.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103254356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 6?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f + 9*f + 18*f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/8 - 5*g\/8 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + y = -2*l + 943, -2*l + y = -945. Suppose -132 + l = 5*j. Suppose 3*o + 61 = d, j = d + 3*o + o. What is the remainder when d is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 13. Suppose 3*w - 5*d + f = 0, 12 = -3*w - 5*d + 2*d. Suppose 2*o = -g - 10, 3*g + 9 = 4*o - 7*o. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b + 8764 = 3*y + 9060, 3*b = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 6a3?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrfydd. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 6735624?\nAnswer: 6735624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 45*o - 13*o - 7*o - 7*o - 12*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 6760 = 29*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9. What is the third derivative of -o**6 + 4*o**2 - 2*o + 2*o + w*o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 697 + -697.01392. Round u to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-1)\/(-18)). Suppose -8*u = -1328 + 128. Suppose -p = 3*x - u. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 43\/7 + (-34)\/238. Suppose -3*d + 40 = t, -3*d - 4*t + 9*t + 70 = 0. Suppose -i - 4*v = 19, v - d = -5*i + 3*v. Put 2, c, i in decreasing order.\nAnswer: c, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 9*r**2 + 5. Let l = -13 - -4. Let t be i(l). Sort 0, -4, t in descending order.\nAnswer: t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -389006 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 592249, 592332, 592415, 592498, 592581?\n\"Answer: 83*o + 592166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 11722671.\nAnswer: 11722670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 5. Let p be h(-3). Let m be 1*-861 + (-2)\/p. What is m rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 14 = 58 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 4*f - 5. Let p be q(-5). Let h = p - -78. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = -48*p + 532. Suppose 68*k - p*k = -37832. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -6. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m + m + 0*m)*(0 - 1 + 0).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*4\/(-832)*-13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.117872698 - 0.11799. What is u rounded to six dps?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109639.\nAnswer: 1109639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 252 and 142 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/12 - 17*o**3\/2 + 26*o**2 + 1. Differentiate q(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**3. Let g = -111 + 132. What is the lowest common multiple of z(-1) and 28\/g + (-730)\/(-15)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20)*(49 - 59).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/2)\/(2 - -36). Which is the nearest to -1\/2? (a) -2\/5 (b) 3 (c) u (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057433154 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 - h + 4. Let d be g(-8). What is the units digit of ((-96)\/9)\/(-4)*d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71, 21, -39, -115, -213, -339, -499, -699?\n\"Answer: -v**3 + v**2 - 46*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/((b*b\/((b\/(b\/(b**(7\/3)\/b)))\/b*b))\/b))\/(b**2)**(2\/53) assuming b is positive.\nAnswer: b**(-77\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 211.\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58346, -59958, -61570, -63182?\n\"Answer: -1612*i - 56734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -870.613 - -872. What is c rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 4\/375, 4\/3, -4?\nAnswer: 4\/375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/5 + 114339*f**3\/5 + 686169*f**2\/5 - 1029171*f\/5 - 1600998\/5 = 0.\nAnswer: -7, -1, 2, 38119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) 2 (b) 0.5 (c) -13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.1436, 0.4, -1 in descending order.\nAnswer: 0.4, -0.05, -0.1436, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829294 is divided by 165857.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c**3 - 6*c**2 - 6*c + 7. Let f(z) = -13*z**3 + 7*z**2 + 7*z - 8. What is -6*f(a) - 7*h(a)?\nAnswer: -13*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10647 + 44074?\nAnswer: 33326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2)*6 + sqrt(21) + sqrt(21))\/((sqrt(1008) - (sqrt(1008) - (sqrt(1008) - (-2*sqrt(1008) - sqrt(1008)))) - sqrt(1008)) + sqrt(1008)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 575218\/57558 - (-5)\/795?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19459 + -19365. Calculate the remainder when 3099 is divided by z.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -8.07. Let k = 7.7 + w. What is the nearest to -1 in -2\/5, k, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-2)\/16)\/((-7)\/(-42))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1700 = -2*l - 2*l, 4*o - 3*l - 2275 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyzuzyu. What is prob of picking 2 u and 2 y?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0, -2, -46.5, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 2*a**3 + 106*a - 5 - 109*a - 10*a**3. Let l be w(-2). Let -d + 9*d - 89*d**2 + l*d**2 - 4*d**3 = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142142 (base 5) to base 4\nAnswer: -1130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2982562.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -4, 0.2, 8, 162?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7476444 (base 9) in base 15?\nAnswer: -54239d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*g = -19*g + 391482. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 1 + 1)*(13*p - 2 + 2).\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 10*h**3 + 60*h**2 - 60*h**2 + h**3 - 3*h**3 + h**3 + (2 + 2 - 2)*(4*h**3 + 0*h**3 - 3*h**3) - 5*h**3 + 5*h**3 + h**3.\nAnswer: -8*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33070*y**3 + 31*y**2 - 31*y**2.\nAnswer: 33070*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0, -0.3, 222 in decreasing order.\nAnswer: 222, 0.04, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 3, u: 9, m: 4}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*b - 9*b + 25*b)*(-22 + 133 + 292)*(-b + 2 - 2) to t + y*b + o*b**2 and give o.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 234. Let w = 6 - 4. Suppose f = 4*a + w*u, 48 = 4*a - 2*u + 5*u. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20 and 179\/93900.\nAnswer: 93900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from unununn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -2. Let z be (2 - 28)*(0 + o). Suppose -z + 34 = -5*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5904*q**3 - q**2. Let x be 4\/(-8) + 9\/6. Is s(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 - 2*a - 6. Let s be t(-3). Solve 0 = h + 3*z - 12 - 1, s = 4*h + 3*z - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*w**2 + 33*w**2 - 108*w**4 + 30*w**2 - 1 + 3*w**4 + 1 + (0*w - 2*w + 0*w)*(-3*w**3 + 5*w**3 - w**3) + 3*w**4 + 0*w**4 - w**4.\nAnswer: -105*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74492124 and 4830.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = x + 4*h, 5*x - h + 4 = -6. Suppose 4*b + 2 = 6. Put -5, x, b, 31 in decreasing order.\nAnswer: 31, b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1275509, -2551019, -3826529, -5102039, -6377549?\nAnswer: -7653059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-670195.\nAnswer: 100529.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - s + 3 = -1, -4 = -f - s. Suppose -2*n + 5 = -3*p - 0, f = p + 3. Let t = -0.4 - -0.6. Put 2\/5, n, t in descending order.\nAnswer: 2\/5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -219*s**3 + s**2. What is the hundreds digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*u - 669 + 46575 = 0, -2*g - 5*u + 18370 = 0. Suppose -5*b + 5*i + 22985 = 0, -5*i + g = 7*b - 5*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 12*c**2 + c + 15. Let x be u(-12). Suppose 20 = x*q + q. Let y(i) = i**2 - 5*i + 7. Calculate y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1870 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -60. Let i(u) be the first derivative of 1\/4*u - 3\/8*u**2 - 1\/16*u**4 + 1\/4*u**3 + q. Find t such that i(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihihhhhhhhihhhh. What is prob of picking 2 h and 2 i?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 0.3 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 2839 - 1455 = -656 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10764706.\nAnswer: 2, 17, 37, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 566802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**2 + 0*m**5 + 0 + 1\/24*m**4 + 0*m**3 + 0*m + 0*m**6 - 1\/210*m**7. Find the second derivative of k(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q + 30. Let y = q + -15. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 170. Let l(f) = -33*f + 79. Suppose -26*x = -75*x + 98. Calculate the remainder when q is divided by l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 9 + 25 + 4*u in the form f + j*u and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 2 = m - 3*k, 0 = 3*m - 5*k - 41. Let u(w) be the second derivative of -3\/2*w**2 - 7\/6*w**3 + m*w + 0. Find the first derivative of u(o) wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4219376903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3795\/69*(-1)\/20*13\/(819\/(-56))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 7. Let h be k(-7). Suppose h = 5*y - 2*y. Solve y*d = 2*d - 4*m + 12, -d = -3*m + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2 - -1)*(-4)\/(-92)). Let c = -12 - z. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + z = -z + 121, -5*j - 5*z - 650 = 0. Let w = j - -189. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63736 + 23?\nAnswer: -63713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -460*k**4 - 655*k**2 wrt k?\nAnswer: -11040*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/18 and -103\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-6835.992.\nAnswer: -34179.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r**(-2\/9)*(((r\/(r**3\/r*r))\/r)\/r)**10)**(24\/11))**(-1\/2) assuming r is positive.\nAnswer: r**(10064\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -1. Let t = -128 - -77. Let p be (-6)\/t - (-7128)\/102. Calculate the highest common divisor of p and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*q - 897 = q, 4*q - 20 = 0. What is the least common multiple of 98 and i?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46950656750 less than -2.178?\nAnswer: -46950656752.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0539 less than 0.2?\nAnswer: 0.1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2078\/13 - -160. Let r(t) = 2*t + 8. Let k be r(-3). Let q be (k\/(-5))\/(76\/(-95)). What is the smallest value in q, f, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742, -6981, -15708, -27923, -43626?\nAnswer: -62817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*v + 91 - 96 = 0, -v = 6*i + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 31.75.\nAnswer: 25.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + h + 0*h + (14*h + 102 - 102)*(4 + 5 - 3) + (-5*h + 2*h + 2*h)*(2 - 2 - 2) + 2*h + 4*h - 3*h.\nAnswer: 88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145 or -144?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35749657.9 take away 261.1?\nAnswer: 35749396.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 45 = -6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3*j + 91 - 165 - 5*j + 81.\nAnswer: -j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 + 6*j - 5. Let c be i(-7). Let x be c\/15 - 2\/(-5). Let k be 24*44*1875\/x. What is k rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**19\/((a**(7\/3)*a*a)\/a) assuming a is positive.\nAnswer: a**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -3, 36, 107, 222?\n\"Answer: 2*k**3 - 2*k**2 + 11*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0994 and 1935.4.\nAnswer: 192.37876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let n = -18.085 - -17.885. Which is the nearest to 2\/55? (a) -1\/11 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from jxgxxjjajaxjjxjajgx.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*t, 0*p = 4*p + t - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**3 - 28*n**2 + 433*n + 1061. What is h(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:28 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*f + 58755 = f, -z = 5*f - 11763. Let a(j) = j**3 - 7*j**2 - j + 9. Let h be a(7). Let p be 16\/(h - z\/5875). Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 271*r**2. Let x(y) = 3*y. Give z(x(b)).\nAnswer: 2439*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15690\/11 + -1422. Suppose 10 = 3*m + 2*g, -3*m + 2 = -2*g - 0. Find the common denominator of (-1)\/(3\/m) + (-75)\/10 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -3*i**5\/10 - i**4\/12 - i**3\/2 - i**2 - 183*i. Let u(l) = -6*l**3 - l**2 - 2*l - 2. What is -2*k(s) + 3*u(s)?\nAnswer: -6*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1668 - 8372\/5. What is the common denominator of ((-605)\/(-847))\/((-8)\/42) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-8)*(-14)\/(-4) and (-4)\/(32\/35) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 u when three letters picked without replacement from {q: 1, z: 1, d: 1, u: 2, h: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 657507537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76360879*o**5 + 15*o**2 + 525649 wrt o.\nAnswer: 4581652740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 21. Let f(n) = -n**2 + 20. Let m(x) = 3*b(x) + 4*f(x). Differentiate m(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418785 is divided by 4273.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k**4 + k - 3*k**4 + 3*k**4 - 2*k**4 + (k**4 - 2*k**4 + 2*k**4)*(-7 - 1 - 6).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 6*(sqrt(1539) + 0) + sqrt(1539) - (-2*sqrt(1539)*-2 + sqrt(1539) + 4)**2)*6.\nAnswer: 5346*sqrt(19) + 692748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 3*a + 3*a)*(3632 - 14799 - 14028 - 6086) as z + c*a and give c.\nAnswer: -62562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -53.5. Let g = t + -1.5. Which is the smallest value? (a) 3 (b) 1\/2 (c) g (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/3*l**3 + 2\/3 - 2\/3*l**2 - 2\/3*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5 = n, -2*u + 3*u + 4*n + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 3}. Give prob of picking 3 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10602370*a**2 + 5054089*a - 1 wrt a?\nAnswer: 21204740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500))\/(sqrt(512)\/sqrt(8)) + 5.\nAnswer: 5*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 2\/17 (c) 2553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255120 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 26 = 24*v - 19*v, 5*g = v - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2714630 to the nearest 10000.\nAnswer: -2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 63384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -6.933, -0.4, 1\/4, -2\/11 in decreasing order.\nAnswer: 1\/4, -2\/11, -0.4, -6.933, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 48, 62, 58, 30, -28, -122, -258?\n\"Answer: -m**3 + 33*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17250 and 9108?\nAnswer: 1138500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20698, 20750, 20802, 20854, 20906, 20958?\nAnswer: 21010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -897*s**3\/2 - 1611*s**2\/2 - 346*s + 4. What is the derivative of n(t) wrt t?\nAnswer: -2691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30494, 121986, 274464, 487928, 762378, 1097814?\nAnswer: 1494236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 5*v**2 + 6*v + 3. Let s be d(-6). Sort s, 2, 0 in increasing order.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 0.1 (c) -9\/827 (d) -2 (e) 0.3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 5. Let r(u) = 4*u + 20. Let z(k) = -18*b(k) + 4*r(k). What are the prime factors of z(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1080163 and 43\/11356.\nAnswer: 721548884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1280*15\/12*375. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669.31 rounded to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3672 and 8802.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*h + 75 = 0, 252 = 3*q - 2*h - h. Let z = 103 - q. Solve 3*l - l = 3*j - 14, 5*l + z = j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 34 = -330. Let p = 208 - f. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 2*f**3 - f**3)*((1 + 1 - 4)*(-2 + 2 - 1) - 1726 + 61 + 272).\nAnswer: -2782*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*x. Let a(n) = -2*n**2 - 9 - 3*n**3 + 1 - n**3 + 9. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (945\/(-81) - 13)*(6 + -9)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f + 24*f + 36*f + 38*f + 63*f - 193*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - -0.3. Let h = -53.5 + 54. Which is the closest to 2? (a) h (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cf9 (base 16) to base 2\nAnswer: -110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -0.4, -1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let b be (1 - t)*(-3)\/(-6). Suppose -4*m + 22 = b*a - 0*m, 2*a + 3*m = 20. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/10)\/((s**0\/s)\/s))**25\/((s\/(s*s**1)*s**(-3\/8))\/(s*s\/s**(2\/3)*s*s)**50) assuming s is positive.\nAnswer: s**(5173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 7*l - 6. Let c be w(4). Suppose 39 - c = -5*o. Let 4\/7*r + 0 + 2*r**2 + 10\/7*r**o = 0. What is r?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205211, 205217, 205219, 205217?\nAnswer: 205211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**3 + 3*s**3 - 29 + 16*s**2 + 12 - 25 wrt s?\nAnswer: 6*s**2 + 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110110 (base 2) to base 14.\nAnswer: -4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337607 (base 9) in base 10?\nAnswer: -1265308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -4*v - v. Let y = v - 48. Which is greater: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 185, -5, 0.\nAnswer: -5, 0, 2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -17) + -19 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpppppppppfpfpp. What is prob of picking 1 f and 1 p?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422106 is divided by 583.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19302 + 38578 + 4*t - 19276.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = -3*x, -4*f - 8 = -454*x + 453*x - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1309068 by -138.\nAnswer: -9486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 12*k**2 + 8*k - 17. Is 8 a factor of f(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297058.292 less than 6586?\nAnswer: 303644.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15388.9319 rounded to the nearest one hundred?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -67 times -6\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + -5 + (-2 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/2)\/5*10\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 plus -1?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -22, -4, 2872.\nAnswer: -22, -4, 1, 26, 2872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.2727?\nAnswer: -0.5454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/2)*q*q*q)\/((q\/(q**(-1\/2)\/q))\/q) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.976 + -13022\nAnswer: -13034.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10231300 (base 5) to base 13\nAnswer: -30470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 123613033 and -0.2005.\nAnswer: 123613032.7995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -170 divided by 2\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 2572.\nAnswer: -33\/2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329749 * 798.\nAnswer: -263139702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 693574 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*a + 3, 0 = 4*n + 3*a - 35. Suppose -16*t = -12*t. Suppose 0*b + 3*b - 6 = 0. Solve 0 = -n*m + 2*g - 31, 5*m - 5*g + 38 + b = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (10 + (-10 - -3) + -10 - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*i**2 - 156*i**2 - 24*i + 326*i**2 in the form k*i**2 + b + g*i and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149 to the power of 1\/4, 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 3293765976?\nAnswer: 2, 3, 19, 7223171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 5) to base 16\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1 - (3 + 3). Is j at most 461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 3. Suppose 4*w - 4*l = -l + 21, -l = -2*w + 9. Suppose -3*z - 61 = 2*s + 2*s, w*z = -3*s - 57. Sort q, z, 2 in decreasing order.\nAnswer: q, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 91*c**5\/60 - 151*c**3\/6 + 322*c**2. Find the first derivative of l(q) wrt q.\nAnswer: 182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 2*u - 9, -12 = u + 4*g. Let a(p) = -2*p - 6. Let r be a(-5). Let i = r - 2. Solve -i*v = 2*s - 4, -3*v = -u*s - 2*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69531261 - -69531264.5999549. Let z = w - 3.6. Round z to six dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247998 is divided by 414980?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240 + 244. Calculate the remainder when 92 is divided by 38\/2*(c + -14 - -11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100021 (base 6) to base 15.\nAnswer: -2494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**3 + 33*v**2 + 58*v + 229. Give l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**2 + 2 - 37*y + 51*y**4 - 9*y - 1 - 4 - 4*y wrt y.\nAnswer: 612*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 20 = -5*h + 16, 5*h - 3*s - 31 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 2. Let b = 10 - q. Solve g = -b + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1903 + -0.17885. Round u to four decimal places.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) -3 (b) 2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwy when three letters picked without replacement from {y: 1, d: 2, o: 2, w: 2, k: 3, a: 10}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*q**3 + 255*q**3 + 133*q - 133*q.\nAnswer: 477*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, v: 4}. Give prob of picking 2 v and 1 o.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/(-1 - (-7)\/5). Calculate the smallest common multiple of (-8 + (-5 - q))*(-2)\/2 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15776119*n**2 - 2019979 wrt n?\nAnswer: 31552238*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 14*x + 420. What is h(22)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006752 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*l - 35 - 49 - 37 + 123 - 385*l to x*l + k and give x.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 f when four letters picked without replacement from ffufdfoufousf.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 2*b - 6. Let c(d) be the first derivative of d**3\/3 + d**2\/2 + d - 327. Determine 4*c(t) + w(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 5, -1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n. Let o(j) = -14*j + 109*j + 2*j**2 - 111*j. Calculate z(o(l)).\nAnswer: -24*l**2 + 192*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2933956, -5867906, -8801866, -11735842, -14669840, -17603866?\n\"Answer: -h**3 + h**2 - 2933946*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000902739391 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 9. Sort x, 3, 2 in increasing order.\nAnswer: 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504 or -979?\nAnswer: -979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 207*c**2 + 7*c - 3. Let h(z) = 104*z**2 + 3*z - 2. Let m(r) = 9*h(r) - 4*p(r). Find the second derivative of m(s) wrt s.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/15 + (-160)\/550 + 3\/33. Solve 4*a - 3 = -n, -q*n + a = -14*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/19519?\nAnswer: -3\/19519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.925 * -0.0567\nAnswer: -0.1091475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102963 - -102962.5. Let v = -1015\/9 - -113. Which is the closest to v? (a) 0.7 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**6 + s**4*x + 3*s**4 - 345*s**2 - s*x wrt s.\nAnswer: -120*s**3 + 24*s*x + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let m be (0 - 1)\/(-6) - 0\/14. Let l(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 8*z + m*z**4. Calculate l(k(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/15)\/((-306)\/(-68)))\/(20\/(-300))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14*j*(j*j**(-2\/19)\/j)\/j)**(8\/3) assuming j is positive.\nAnswer: j**(704\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 188494326 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2521708 and -0.779.\nAnswer: -2521708.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 17, -1, 0.3, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*t + 515, 0 = 2*h - 4*t - 108 - 102. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1198, 1, 0.1, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-516)\/430*14\/((-924)\/55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 6) to base 3.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*w**2 - 50*w**2 + 70*w**4 - 3864*w - 1912 + 3866*w with respect to w.\nAnswer: 280*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-886 - 2069 + 175 - 694)*(r - 4*r + 4*r).\nAnswer: -3474*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/482)\/((-12)\/8). Let m(g) = -2*g**3 - 8*g**2 + 18*g - 36. Let x be m(-6). Is q greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = 0, 4*p - 4*v + 0*v = 8. Suppose f = -p*f + 40. Let w = -6 + f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-6)\/2)\/(-1). Let m be (5 + k)\/(1 + 1). Solve 4*p + 8 = 3*t + m*p, -2*t + 3 = -p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-42) - (-20)\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 100*m**2 + 170*m + 3466. Calculate y(102).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(40)\/(-2*sqrt(72)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 * -113\nAnswer: -160.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6191442?\nAnswer: 2, 3, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 3*v = -5*i - 566, 5*v = 3*i - 868. Let r = i + 20. Calculate the greatest common factor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.1536 years to millennia.\nAnswer: 0.3521536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(17)*-2)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 278\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(24)*5)\/sqrt(12)*-4*-4 + -4.\nAnswer: -160*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:51 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13249 (b) -0.0064 (c) 0.3 (d) -1 (e) -4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 + -17. Which is bigger: -6.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -34?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z - 7. Let n be o(5). Let k be 1\/n*8*-425. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34.48335cm?\nAnswer: 344.8335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g**(-17) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*((z**(-4\/3)\/z)\/z)\/z))**(2\/71)*(z*z**(1\/3))\/z**12 assuming z is positive.\nAnswer: z**(-2246\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:22 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-7 - -5) - -335 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 61?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -390\/773 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -20\/7, -2153, -0.5 in descending order.\nAnswer: 0.1, -0.5, -1, -20\/7, -2153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*i + 3*c, -c - 39 = -3*i + 2*c. Let y be (5\/(-1) + i + -3)\/2. Solve y = -8*u + 10*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/7 (b) 0.01 (c) -1.6 (d) 1\/8 (e) 1\/6 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 2*u**2 + 2*u + 117. Let h be c(0). Let t = h + -45. Suppose 3*z - z = t. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96, -93, -88, -81, -72, -61, -48?\n\"Answer: c**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -19*k**2\/2 + 27*k - 202. Is x(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010202331 (base 4) in base 16?\nAnswer: -448bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/22033545 and -41\/13220127.\nAnswer: 66100635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/17 (c) 1\/23 (d) -44 (e) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 88.33698us?\nAnswer: 88336.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 21*x**2\/4 + 73*x\/2 + 84.\nAnswer: (x + 6)*(x + 7)*(x + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:26 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2084390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.05. Let k = -2.05 - q. Let d = 0.3 + -0.2. Which is the nearest to d? (a) 0 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/6 + -1\/12. Which is the third biggest value? (a) 3\/8 (b) l (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 229, -3048, 6 in increasing order.\nAnswer: -3048, 6, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82\/3 + 28. Let k(f) be the first derivative of 1\/2*f**2 + d*f**3 - 2*f + 1. Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/492 and 23.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 9. Let c be (-110)\/(-15)*(33\/(-30) + (-2)\/5). Calculate u(c).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/8*8\/48*-2?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*a + 36*a - 9*a**2)*(-118*a**3 + 63*a**2 - 63*a**2).\nAnswer: 1062*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose 5*g - 26 = -3*u, -u = 4*g - n*g - 4. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 11*a - 4. Let x(b) = b**2 + 25*b + 95. Suppose -r + 2*r = 5*v, -5*r + 4*v - 21 = 0. Let s be x(r). Calculate p(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 = 3*s + 635. Solve -5*v - s = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37630 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 + (-6)\/(-60). Which is the third biggest value? (a) 0.4 (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c**(1\/6)*(c**(-2\/11)\/c)\/(((c\/c**(-9))\/c)\/c) assuming c is positive.\nAnswer: c**(-661\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = -10*w - 5*i - 221, 35*i = 4*w + 190 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/5, -2\/13, -3, -5, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 2.06, -5?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70 - (-1263)\/60) + (-6)\/20. Factor -s - 3\/4*t**2 + 33\/2*t.\nAnswer: -3*(t - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33984 divided by 2\nAnswer: -16992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/12 and 151\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18. Suppose v = -r*v. Let d(y) = -y - 7. Determine d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152 or 4734\/31?\nAnswer: 4734\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 123*i + 7*i - 100*i - 182*i.\nAnswer: -398*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 19*j + 36. Let a be k(-3). Let q(h) = -h**2 + h. Let y(o) = -8*o**2 + 4*o - 1. Calculate a*q(p) - y(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -29, 1\/6, 0.07?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a + 4*m, -5*m = 3*a - a + 11. Let q(h) = -h**2 - 7*h + 8. What is the remainder when q(-7) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -11. Let u = w - 9. Let l(d) = d**3 + d**2 + d + 1. Let c be l(-1). Solve c = -3*i + u - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -24.876. Let k = j + 8.976. Let b = k - 3.1. What is the nearest to 0.2 in b, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483595 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3528*w + 3515*w + 2*j + 168 = -142, -4*w + j = -95 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -223*l + 73*l**2 + 223*l + (-2*l + 3*l + l - l - 3*l + l + 6*l - l - 3*l + (-5 + 2 + 1)*(-l - l + l) - 3*l - 2*l + 3*l)*(l + 9*l - 3*l).\nAnswer: 80*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1272?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1347822.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18010218 and 12905?\nAnswer: 90051090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229933576.\nAnswer: 2, 19, 349, 60887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 453307 (base 9) to base 12\nAnswer: 1110ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 470 = 2*x, -4*x - 207 + 275 = 3*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 55 = 3*b - 4*y, 5*y = -b + 12. Suppose 3*i = 3*h + i - b, -4*h - 5*i - 8 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.4, -3, -2.8, -0.4, -1\/7, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 16 = 5*z. What is the second derivative of -3*a**4 + a + 0*a**4 + 6*a + 0*a**z wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, y: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 12. Let u(l) be the second derivative of 0*l**4 + 0*l**2 - 1\/6*l**3 + 0 - 1\/15*l**x + 0*l**5 - l. Find the second derivative of u(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r + 497*r**2 - 4 + r**4 - 991*r**2 + 496*r**2 + 2*r**3 in the form h*r**2 + t*r**3 + y*r + q*r**4 + m and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 84 = 80 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -589774, -2359185, -5308198, -9436807, -14745006, -21232789?\n\"Answer: i**3 - 589807*i**2 + 3*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*x - 3 + 11, -7 = -p + 4*x. Suppose -58 = -p*n - 10. Suppose -2*b = -b - n. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*r**2\/4 + 8600373*r\/4 - 1205685 = 0. Calculate r.\nAnswer: -26793, 60\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2549655*t**4 - 2394424*t**2 + t?\nAnswer: -61191720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -26*x**2 - 12*x + 22. Let a(f) = f**2 + 1. Let c(i) = 5*a(i) - z(i). Is c(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/71511 and 38\/32505.\nAnswer: 357555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.4 + -10.6. Let t = n - -57. Sort t, 0, -1\/4 in decreasing order.\nAnswer: 0, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1726)\/(-8) + (-3)\/(-12). Let o = -151 + v. Suppose 3*t = y + 100, o = 4*t + 3*y - 64. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = 0, -2*n + r + 21 - 70 = 0. Does 16 divide (n\/21)\/2 + 4356\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011021 (base 3) in base 7?\nAnswer: -6466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147183 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-43))\/r**(-2\/59) assuming r is positive.\nAnswer: r**(-2476\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let k(q) = 9*q**3 - 1. Let a be k(1). Let r = 12 - a. Solve -f - r - 6 = -d*p, 2*f = 2*p - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 5. Let i be c(5). Let t(w) = -w + 4. Let g be t(i). Solve 0 = -g*k - 7 + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 329, 4 in decreasing order.\nAnswer: 329, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791454 a multiple of 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520425007?\nAnswer: 3389, 153563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 41*c - 32. Let v(k) = -61*k + 48. Let a(u) = 8*h(u) + 5*v(u). Let t be a(6). Suppose 0 = 3*b - 2*b - t. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 3) to base 6\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22199 is divided by 87.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -980 (b) -5 (c) 3 (d) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656619 = -46*z + 655975 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 + 0 = -f, f = -3*k + 16. Suppose -g - k = -8. Differentiate -2*d + g*d + 3*d + 14 + 2*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61320 divided by -280\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 - f. Let l(r) = 38*r**3 - 5*r**2 - 2*r. Let p(z) = -l(z) - 5*n(z). What is the second derivative of p(g) wrt g?\nAnswer: -198*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k**2)*(-k**2 + 3*k**2 - 3*k**2) + (8*k**2 - k**2 - 8*k**2)*(-5*k**2 - 16*k + 16*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:30 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1)*q))\/q**(1\/6) assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -559, -679, -683, -565, -319, 61?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -945bd (base 14) to base 4\nAnswer: -1113113223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.1, -0.202, -0.5, -0.2 in descending order.\nAnswer: 2\/5, -0.1, -0.2, -0.202, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 83, 189, 337, 527?\n\"Answer: 21*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158973, 159008, 159059, 159126?\nAnswer: 159209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 2*s**4 - 4*s**4 + (2*s**4 + 5*s - 5*s)*(0 - 2 + 0) + (-3*s**3 - 36 + 36)*(-4*s + s + s) + (1 - 1 - 2)*(-4*s**2 + 4*s**2 - 5*s**4).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let l be u(0). Suppose l = -3*n + 5 + 4. Suppose -g + 3 = 0, -5*x + 45 + n = g. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 1489, 3330, 5891, 9166, 13149, 17834?\nAnswer: 23215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-2 - 1\/(-1)). Let v = 1 - o. Let q(f) = 0*f**2 + v*f**2 - 3*f**2 + 2*f**2. Let j(a) = -2*a. Give q(j(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(40)\/sqrt(5)) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13323782 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - -14 - -14*37\/74.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113080558 - -0.5.\nAnswer: 113080558.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 31. Let y be p(7). Let i(v) = -4*v + 3. Give i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*u - 12, 188*w - u + 4 = 186*w. Solve q - 4*c - 16 = w, -4*c + 8 - 48 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 - 5 = 0. What is the lowest common multiple of (-28)\/v - ((-12)\/5 - -2) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 11*g**2 + 10*g + 8. Suppose 0 = p + 2*p - 3, -4*n - p = 47. Let t be j(n). What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**3 + 14*s**3 + 6*s**5 + 24*s**5 - 5*s**5 + 5*s**5 - s**5 + (0*s**3 + s**3 + 0*s**3)*(-4*s**2 + 3*s**2 - 2*s**2).\nAnswer: 26*s**5 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 15*m**2 - 6*m - 103. Let v be d(14). What is the greatest common divisor of v and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:43 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407702921?\nAnswer: 3, 2843, 165049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -980, -1503, -2026, -2549?\nAnswer: -3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336131*i*j**3*v**2 - 493162*i*j**3*v + 10*i*j**2*v + 9*i*j*v**2 + 3*j**2*v wrt v?\nAnswer: 672262*i*j**3 + 18*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 20 + 1\/6*p**4 + 0*p + 1\/3*p**3 + 10*p**2. Let a(k) be the second derivative of z(k). Let f(b) = -b. Determine a(f(c)).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 18. Let x be p(5). Suppose x*y + 89 - 230 = 0. Calculate the remainder when 234 is divided by y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - 3 - -4) + (22 - 15 - 20).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2)*(2 - 3). Suppose 5*u - 45 = -5*q - 10, -4*u + 3*q = 0. Let a be 3\/(u*-1)*n. Is a smaller than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 16*k**2 - 16*k - 4. Let h(l) = -2*l**3 + 15*l**2 - 16*l - 3. Let w(z) = -4*h(z) + 3*x(z). Factor w(a).\nAnswer: 2*a*(a - 4)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 + 23 = 0. Suppose 58 = -2*r + l*r. What is the highest common divisor of 58 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -21. Let m = 6 - f. What is the closest to -1 in -0.5, -0.4, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 + 25*f\/2 = 0. Calculate f.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*y = 3, -5*p + 2*y + 9 = -4*p. Suppose 240 + 260 = p*a. What is the remainder when 307 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42791\/17 - 2517. What is the closest to 6\/5 in -0.3, 2\/15, -2, b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxi when four letters picked without replacement from {x: 1, i: 5, p: 11}.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 8*w - 4*w**2 - 2*w + w**3 as o*w**2 + n*w + a + h*w**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35 - -0.05. Let g = -0.1 + u. Let l = -5 - -3. Put g, 0.3, l in ascending order.\nAnswer: l, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101656536 rounded to the nearest 100000?\nAnswer: -2101700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -15. Let h = -14 + c. Suppose 2*w + 2*w + x - 8596 = h, -4*w = 2*x - 8596. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (26 - 4) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 1056*x**3 + 3895*x - 3895*x.\nAnswer: 1056*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Let g be (5 + -4)*(6 + -1). Solve g*a = a + d - 9, -3 = -3*a + h*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a factor of 150624199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000471870173 to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s**2 + 69. Let g(b) = 13*b**2 + b - 140. Determine -5*f(i) - 3*g(i).\nAnswer: i**2 - 3*i + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w + 3*u, -5*w - 86 = 4*u + 19. Suppose 0 = -887*z + 927*z + 120. Put -2, -5, w, z in ascending order.\nAnswer: w, -5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 - 765*w**3 + 19475*w**2 + 208365*w - 227070 = 0. Calculate w.\nAnswer: -174, -9, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2391297787?\nAnswer: 23, 1153, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -2*u + 5*u. Is u bigger than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 8*h - 79)*(2*h - h + 2*h).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 + 3*y**2 - 5*y - 1. Let n be m(-8). Suppose 869 + n = 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14948, 55261, 120936, 211973?\n\"Answer: 12681*j**2 + 2270*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-24) + (-60)\/160.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 + 8*b - 11. What is c(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480 is divided by 322.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a0c (base 13) to base 16.\nAnswer: badf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 + 6*k + 4. Let u be p(-5). Let b = -22 - u. What is the second derivative of 6*s - 4*s**b - 3*s + 6*s + 2*s wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*j**3 - 2\/5*j**4 + 0 + 2\/5*j**2 - 2\/5*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -2314030445.625?\nAnswer: -2314030445.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 4*k**2 + 14*k. Determine a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81879 is divided by 188.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -35 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1279 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010142346?\nAnswer: 2, 17, 89, 333821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 489647*d\/2 - 489649.\nAnswer: (d - 489649)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2400 divided by -150.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x + 112. Give j(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5, -i + 7 = -2*a - 0*i. Suppose -2*q + 21 - 5 = 0. Let s = q + a. Solve -4*d - v + 0*v - 5 = 0, -s*d = v + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/7)\/d*d\/d**(-1)*d assuming d is positive.\nAnswer: d**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1806*c + 60251. What is t(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.1 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + (-2 + -5 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2087 and 0.146.\nAnswer: 0.3547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((-8)\/6 + 201\/36)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 533*p**6 - 2*p**2 + 104.\nAnswer: 63960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1053)*-2 - (sqrt(1053)*1 + 1))**2 - ((sqrt(1053) - (sqrt(1053) + 0 + 3))**2 - ((sqrt(1053)*2)**2 + 5)).\nAnswer: -126*sqrt(13) + 55806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 - 654302*n**3\/5 + 1962912*n**2\/5 - 1962914*n\/5 + 130861.\nAnswer: -(n - 1)**3*(n + 654305)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1\/3, 2, 2\/9, -98, 18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9556 (b) -3\/7 (c) 3\/32 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) -0.2 (c) 4 (d) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:50 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/7)\/w**11 assuming w is positive.\nAnswer: w**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 68 = 4*g, 3*g = -4*s + 2*s + 52. Suppose 125*z + 15 = 130*z. Suppose -z*u - 12 = 3*q, -5*q - 2*u + 12 - 20 = 0. Solve q = -3*x - x + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789869228?\nAnswer: 2, 197467307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 7*g**2 - 4*g - 5. Let k be i(6). Find the third derivative of 1 - 1 + r**2 + 5*r**6 - k*r**6 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**7\/63 - 8*x**6\/45 - 13*x**5\/30 - x**4\/3 + 12*x - 45. Let n(i) be the first derivative of z(i). Factor n(q).\nAnswer: -2*q**2*(q + 1)**2*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 59 = -9. Suppose 220 = 4*p - 180. What is the greatest common factor of h and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5101.036mg to grams.\nAnswer: 5.101036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64936969?\nAnswer: 64936969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 4*c + 6. Let q be 5\/25*-11*5. Let i(f) = -3*f**3 - 11*f + 17. Give q*v(w) + 4*i(w).\nAnswer: -w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10186\/15 + -679. Let s(q) be the third derivative of 0*q**3 + 4*q**2 + y*q**5 + 0 + 1\/6*q**4 + 0*q. What is the second derivative of s(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7826.208644 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1966*l - 15579 = 1389*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2681*a**5 + a**3 + 2*a**2 - 4*a + 11 wrt a.\nAnswer: -160860*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -47, 8, -1 in ascending order.\nAnswer: -47, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syykskiskzsskkiziii. Give prob of sequence siik.\nAnswer: 125\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 62, 67, 72?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + (2 + sqrt(448))*-4 - ((sqrt(448) + -1)*-6 + 2)))**2.\nAnswer: -672*sqrt(7) + 2233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10\/13 (b) -4\/245 (c) -2\/7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(4*b + b - 3*b)*(5 - 3 - 1 + (-2 - 1 + 0)*(-4 - 3 + 5)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (18 + -6)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 - 87*v**3 + 89*v**3 + 8*v**2)*(-2 + 3 + 2) as x + o*v**3 + q*v**2 + g*v and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*n + 101.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1709 - -1901. What is the lowest common multiple of q and 176?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 13*n + 3. Let s be m(13). Find the second derivative of -3*d + 2*d**5 + d + 0*d**3 + 0*d**s wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-35))\/(3\/14). Suppose 6*s - 578 = m*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*f - 419 - 3921 = 32*f + 15592 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 132. Suppose -5*m + 0*m + q = -70, -3*m + a = -q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.56238 kilograms in tonnes?\nAnswer: 0.09056238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 11*z + 5. Let v(c) = c**2 + 5*c - 2. Give -4*f(h) - 9*v(h).\nAnswer: -5*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 4 + 2 + 8*u + 6. List the prime factors of t(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 28822.53km?\nAnswer: 28822530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/((27\/(-36))\/(30\/(-40)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*t = 3, -3*c + t = -c + 3. Does 12 divide (c + (1 - -4))\/(-2) - -86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/39 and 15\/2066312.\nAnswer: 80586168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -17\/11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -82834 to the nearest 1000.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**7\/x*x*x)**(-27))**(-47))**44)**(25\/2) assuming x is positive.\nAnswer: x**5583600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -640354 at most as big as -640353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905*o - 2*s + 74 = -900*o, 4*s = -5*o + 88. Solve o*b = -10*b - 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k - 4. Determine l(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*p + 495 - 779 = -70 + 5436 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 1 + 0 - 2*r)*(4 - 5 - 1)*(2 + 4 + 8).\nAnswer: -56*r + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.25555 to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(8208) - sqrt(8208)*-2))\/((1*sqrt(243) - sqrt(243)) + sqrt(3) + sqrt(3)) - (1 + 3*sqrt(171) + 3))**2.\nAnswer: -76*sqrt(19) + 6923\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42029 is divided by 366?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2653*t - 2925*t + 8467*t - 13*t**3 - 2889*t.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151739 and 21677?\nAnswer: 151739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 - 106. Let t(p) = -z + 3*p**2 - 2*p**2 - 6*p + 90. List the prime factors of t(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143507 - 141197 = q. What is the highest common factor of 3135 and q?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from geggggge.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w + 1. Let k be u(-3). Suppose -4*m + k = -3*m. Solve m = -g + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*k + 12, 0 = 2*v - 3*k - 2*k - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9188 is divided by 1531.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(156) - sqrt(156)) - sqrt(156))\/(sqrt(12) + sqrt(300)*1).\nAnswer: -31*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/15 - 1338256*r**2\/15 + 2676518*r\/15 - 267652\/3 = 0.\nAnswer: -669130, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 63, -0.2, 6, 0.25 in ascending order.\nAnswer: -0.2, 0.25, 0.8, 6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661 = -3*v - 5*l, 675 = 4*v + 4*l - 201. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 4*x, 60*x - 57*x - q + 7 = 0. Is x bigger than -2\/531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-2)\/4)*12\/(-15). What is the closest to 0.6 in r, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n - 7. Let q be m(-13). Let t = 69 - q. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 - 18 = 0. Let t = 91 + -54. What is the remainder when t is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 188, 127, 10, -181?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 - 5*s**3\/3 + s**2\/2 - 2*s - 2. Let j be l(5). Suppose j*f - 10 - 2 = 0. What is the nearest to -1\/4 in 1, f, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -164502877291?\nAnswer: -164502877284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + i**2 - 2*i**2)*(-3 - 3 + 5)*(2*i - 4*i + 0*i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2687 + 1752. Suppose -4*q + p + y = -5600, 12542 = 5*q + p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -s - 16, 3*u + s + 18 = 8. Put u, 4, -5 in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 2*p**2 + 2*p**2 - 3*p**2. Let i(z) = -z. Determine f(i(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q + 2*q = 0. Suppose 5*r + q*r - 15 = 0, -j + 56 = -4*r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2725 and 12535.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37655 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 70882 divided by -35441\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602.6 rounded to the nearest ten?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u**2 - 30*u + 97. What is the units digit of f(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 1 (c) -1705 (d) 7972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 22137457?\nAnswer: -22137464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 130*x**2 + 1606*x + 26. What is j(-10)?\nAnswer: -3034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:37 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}