diff --git "a/data/dm_maths/full_data_1/1766_11255.jsonl" "b/data/dm_maths/full_data_1/1766_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1766_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -2*m - 4*c + 6, c + 3*c - 9 = -3*m. Solve -3*s + 1 = -5*u, -s - m = -4*u - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*c + 27 = -2*c, -3*t = -2*c - 15. Calculate the common denominator of (-42)\/20 + (-4)\/(-2) and (t - (-149)\/(-16)) + 1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-878633)\/155)\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 5, -2\/3, 0, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 2*j + 4. Let z be l(3). Suppose 3*y = 2 + z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 18*w - 1697. Calculate the smallest common multiple of w and 5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g = 57*g + 45842. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14408809.5 + -4.12491\nAnswer: 14408805.37509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9608673 + -950.21.\nAnswer: -949.2491327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12417\/38 + -327. Let q = 318\/19 + y. What is the common denominator of q and -16\/71?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m + 3. Determine h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -127*m + 125*m - 3*z - 10*z, 5*z - 12 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159727 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1271?\nAnswer: -1271.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - k**2 - 5*k + 5. Let z = 63 + -62. Let h be t(z). Solve -h*p - 17 = m, m = -p - 10 + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 0*p**2 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9567 - 9519. Solve 8*s = -h + 96 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -629, 693, 2897, 5983, 9951?\n\"Answer: 441*d**2 - d - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9740929 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*i - 208 - 172 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 124*c**2 + 3821*c + 998. Calculate k(-68).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-1\/6)*a)))\/a)\/(a*a**(3\/4))*(a\/a**(-3\/8))\/a**6 assuming a is positive.\nAnswer: a**(-157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vugguqgvvqqqqvva. Give prob of picking 1 v and 1 a.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 0 + 0)*(-w - 12*w + 44*w).\nAnswer: -186*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*c**2 - 144*c**2 + 39*c - 82*c + 43*c + (0*c**2 + 0*c**2 + 2*c**2)*(0 + 0 + 2) - 5*c**2 + 3*c**2 + 3*c**2.\nAnswer: -116*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:18 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16068 or -16067?\nAnswer: -16067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4*-3)\/(-3) + -1. Suppose -p*i = i. Solve -t - q - q - 1 = i, 0 = 3*t + 3*q - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*l - 5*l, 4*l = c - 51. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 2 - 1 - 16 - 16*g wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 36 - 2\/3*m**2 + 50\/3*m = 0?\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a. Let f(j) be the second derivative of 55*j**3\/6 + 9*j**2\/2 + 10*j - 4. Let c(t) = -27*t - 4. Let l(b) = 9*c(b) + 4*f(b). Determine h(l(u)).\nAnswer: 161*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33746 (base 11) to base 10.\nAnswer: 48813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3814399*z**3 + 3814406*z**3 + z - z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*x - 686*x - 468*x + 156715 = 0 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, 4, -3632, -3 in ascending order.\nAnswer: -3632, -22, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -107\/15 (b) 2\/7 (c) 0.35 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8888623 and 4033.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Suppose -2*h + 3*v - 1 = 0, 0*v - 2 = -2*h + 2*v. Let t(m) = -m + 7. Calculate the least common multiple of t(h) and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + i - i + (3*i - 3*i - i)*(3 + 22 + 27) + 2*i - 5*i + 4*i to the form h + g*i and give g.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 divided by 5?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 930*l**3 - 1 + 4*l**2 + 928*l**3 + 5 to the form k*l + s*l**3 + n*l**2 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*s + 115 = 3*s, 0 = 2*b - 2*s + 70. Let f be 5\/b*208\/70. Let z = -40981\/4662 - f. Find the common denominator of 71\/26 and z.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 15 = 5*b. Let c be (-4)\/3*12\/(-8). Let p(i) = c - 2*i - 5*i**2 + 0*i**2 + 4*i**2. Let m(s) = s**3 + 6*s**2 + 11*s - 11. Calculate b*p(z) - 2*m(z).\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106152368 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 66*q**2 + 399*q + 22295. Calculate a(-67).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72681507.\nAnswer: 3, 2137, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1275407 divided by -4\nAnswer: -1275407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let d(j) = -12*j - 19. Let b(k) = -k + 3. Let l(f) = -7*b(f) - d(f). Determine l(m) + 2*p(m).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:24 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3065\/15 - 3)*-3. Let h = k - -424. Let m = 35 - h. List the prime factors of m.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73, 154, 235, 316, 397?\n\"Answer: 81*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16196337, -16196338, -16196341, -16196346, -16196353, -16196362?\n\"Answer: -i**2 + 2*i - 16196338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, z: 9}. What is prob of sequence zxz?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -5*c - 73 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.68 - -57. Let m = 2.32 - d. Which is the closest to -1? (a) -1\/6 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 30 = -28*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 64.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**3*o**2*p - 151*b**3*p**3 + 665*b**2*o**2*p**3 + 2*b**2*p**2 + 2*b*o*p**2 - 4*b*p - 5*p**3 wrt o.\nAnswer: -14*b**3*p + 1330*b**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 92. Let u(v) = 23*v**3 + v**2 - v + 1. Suppose 4*m - 1 = 3. Calculate the remainder when a is divided by u(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:24 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:35 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 2. Let g = -607 + 609. Give b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11351 or 261084\/23?\nAnswer: 261084\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.111 and 5.\nAnswer: 5.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 + 2*k**2 + 10*k**2)*(4 + 0 - 2)*(1 + 1 - 3) - 69*k + 69*k + k**2 - 42 to c + g*k**2 + l*k and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 3*j - 2)*(-25*j**2 + 11*j**2 - 11*j**2 + (23 - 23 + 4*j)*(-1 - 3 + 5)*(0*j - j - 2*j)).\nAnswer: 74*j**3 + 74*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40589 + 106.51454.\nAnswer: 40695.51454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/14*(-22)\/330.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**7\/k)\/k**(3\/26))**21)**(-17) assuming k is positive.\nAnswer: k**(-54621\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 206, 444, 754, 1124, 1542, 1996?\n\"Answer: -2*q**3 + 54*q**2 + 6*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -4718487?\nAnswer: 4718488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 35735*r**4 - 66329295*r**3 - 8778674225*r**2 - 17358503480*r - 8646122820 = 0 for r.\nAnswer: -3502, -141, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h - 4*h + 2*h**4 - 3 + 6*h to q*h + m*h**3 + u*h**4 + g + r*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 94, -3, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 193787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -6. Let s = 22 - f. Let r(p) be the third derivative of p**4\/8 + p**3\/2 + 5*p**2. Give r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31502.\nAnswer: 2, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -19.1. Which is the nearest to -1\/4? (a) 0 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -628? (a) -3 (b) -1\/18 (c) 43\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6340002 divided by -6340002.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*k - 3 = 17, 3*y = -3*y + 4*k - 30 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**25\/f)*f*f*f**(16\/3)*f)\/(f\/f**8)**(7\/5) assuming f is positive.\nAnswer: f**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125009, -249968, -374925, -499880, -624833, -749784?\nAnswer: -874733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -1790, -2\/17, 1\/2 in ascending order.\nAnswer: -1790, -1.9, -2\/17, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 61 - 119 = 0. Suppose 2*b = -0*b + 4. Suppose w - 15 = -b*w. Calculate the greatest common factor of n and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*o + 460 - 110, o + 2*z - 172 = 0. Calculate the remainder when o is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5020028 or -5020044?\nAnswer: -5020044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + -19 - -61 - (0 + -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7289, 14577, 21865, 29153, 36441?\n\"Answer: 7288*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 3*l + 4. Let z be m(4). Suppose -61 = -2*h + 3*n, 0 = 3*h + n + n - 72. Let q = h - z. Solve -6 = -q*o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 57 = -5*r. Suppose 6*b + 3 - 21 = 0. Suppose -2*h = 8*z - b*z + r, 3*h + z - 4 = 0. Solve -5*m - 2 = -a, -a - 1 = -m - h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44142 divided by -21.\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1288 + 1248. Which is the nearest to -0.1? (a) 3 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 15189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -118 + 32 + (-14)\/6 + 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3996 (base 13) to base 5\nAnswer: -230420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58602416161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 12*g + 27. What is the tens digit of f(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120120001022 (base 3) in base 10?\nAnswer: -2431979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**4 - 5*y**3 + y**2 + 3*y - 8. Let h(i) = -4*i**4 - 15*i**3 + 2*i**2 + 8*i - 26. Let d(l) = -21*f(l) + 6*h(l). Find p such that d(p) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(f + 3*f - 3*f) + 49*f - 29*f - 40*f + (2 - 2 - 2)*(3*f - 3*f - 2*f).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1100) + -1)*2 + 0 + 0 + sqrt(1100) - 1*(-6*-3*sqrt(1100) - sqrt(1100))))**2.\nAnswer: 280*sqrt(11) + 215601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 64 = -g - 0*c + 6*c - 7*c, -3*c = 5*g + 24 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 36624*v - 335329344 = 0. Calculate v.\nAnswer: 18312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 36. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 7. Suppose -5*z - 2*z = 0. Suppose -4 + z = -t. Suppose -p + 25 = t*p. Calculate d(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:03 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103545324 (base 6) to base 5\nAnswer: 434133402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155668 is divided by 60818.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 9. Let r(y) = 3*y + 18. Let z(p) = -11*f(p) + 6*r(p). Let j be z(0). Factor -5*m**3 + 6*m - j*m - 5*m**2 + 13*m.\nAnswer: -5*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495771049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = n, -2*b = -5*n - 55. Calculate the common denominator of 37\/3 and (6\/b)\/(7\/(-60)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1198*m**3 + 1596*m?\nAnswer: 7188*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/((sqrt(24)\/sqrt(4) - sqrt(6)) + sqrt(6)))\/((sqrt(21) + sqrt(189))\/sqrt(3)))\/(sqrt(4) + 3*sqrt(196) + -6*(sqrt(4) + sqrt(24)\/sqrt(6))).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 11*l**3\/3 - 2*l**2 + 80*l - 119. What is the derivative of m(h) wrt h?\nAnswer: 22*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3\/9*3. Let l be (k + -1)\/((-2)\/(-2)). Suppose 0 - 2 = -2*y. Solve s = 4, 0 = m - l*s + s + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.98161 + -0.01839. Let c = -45\/148 - -2\/37. Put u, c, 3, 0.2 in increasing order.\nAnswer: u, c, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - 0.9. Let y be (3 + 0)\/3 + -5. What is the third biggest value in c, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3798, -3797, -3794, -3789, -3782?\nAnswer: -3773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*b**4 + 124054*b**3 + 4880855*b**2 + 49.\nAnswer: -7992*b + 744324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 + 14*a. Let q(s) = 0*s - 3*s + 8*s + 0*s. Determine d(q(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.793955 seconds to microseconds.\nAnswer: 1793955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**8\/84 - v**5\/15 - 9*v**2\/2 - 3. Let z(t) be the second derivative of y(t). Find the third derivative of z(c) wrt c.\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 3*z - 2. Let y be b(-2). Suppose 2*j - 4*p + 0*p - 90 = y, 0 = -5*j + 2*p + 265. Suppose l + j - 209 = 0. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48922827.\nAnswer: 3, 16307609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Let d = v + -5.43. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -26. Suppose 5*c - 3 = u + 2*u, -4*u = 3*c - 25. Find the common denominator of u\/r - 1022\/(-180) and -61\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 2*t**2 - 19*t + 10. Let h(w) = -4*w**3 - 3*w**2 - 18*w + 11. Determine -2*h(m) + 3*x(m).\nAnswer: -m**3 - 21*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2 + 0)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + (-2 + -6 - 7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 8) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140830 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -486*v + 494*v - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 37. Suppose -13858 = 129*x - 586*x + 9906. Give i(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99271\/3867 + 6\/1289. Let f = v + 26. What is the fourth biggest value in -3\/17, f, 0.3, 5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/((-748)\/(-85)))\/(10\/12))\/((-1)\/(-54))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*s**4*x - 8*s**4 - s**3 + 4*x + 892 wrt s?\nAnswer: 28*s**3*x - 32*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -2\/3 (c) 180 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 195\/11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(78\/13)*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 7*c + 33. Let x be z(-6). Let g be (4\/70)\/(7\/(x + 6)). Let -3\/7*v**3 + g*v**2 - 3\/7*v**4 + 0 + 0*v = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -300*b + 70889. Determine d(236).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/20 and -77\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 108 = 4*r, x - 4*x - 77 = r. Let b = x - -26. Suppose -3*u + 15 = 0, b = -3*o - 0*u - u + 26. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*i**5*k - 8*i**3*k**2 + 42*i*k**2 + k**2 wrt i?\nAnswer: 560*i**3*k - 48*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 5*r + r)*(3*r + 3*r - 4*r)*(-11*r + 33*r - 9*r) to c*r**3 + n*r**2 + t*r + j and give c.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1098020 or 1098015?\nAnswer: 1098020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 + 0*v**2 + 0*v**2 + (v**2 + v**2 + 0*v**2)*(7203 - 7203 - 65*v))*(-1 + 1 + v) to h + i*v**2 + g*v + u*v**4 + m*v**3 and give u.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, 1, -3, 20 in decreasing order.\nAnswer: 20, 4, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**5*y + 51*p**3*y**3 + 2*p**2*y - 19*p*y**3 - 2*p - 2*y**3 wrt p?\nAnswer: 180*p**2*y + 306*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + x + 2. Let h be g(-2). Suppose 2*i = -7*i + 36. Let j be i + -8 + h*34167. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.91 + -7. Put -2, u, 4 in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3040, 6091, 9254, 12583, 16132?\nAnswer: 19955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 26*c**2 + 7517*c + 741. Determine r(-289).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 225.9043 kilometers?\nAnswer: 225904300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/150 - 4\/(-12). What is the closest to -9 in x, 65, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 1 - 27 - 5 + 4*s + 2*s to the form p + o*s and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 215*f**3 - 4*f**2 - 9*f - 5. Let a be h(-1). Is -219 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1511?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 - (27 + 3))\/((-1)\/165) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -85.9?\nAnswer: 51.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -747.\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, m: 2, j: 1, x: 1}. What is prob of picking 1 r and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -14 - -39 - 34\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 729.5, 5 in increasing order.\nAnswer: -0.3, 3, 5, 729.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -4)*-1)**2 + sqrt(325)*-3 + -1 - ((6*(1 + sqrt(325)))**2 + (sqrt(325) - (4 + sqrt(325)))*4).\nAnswer: -11380 - 415*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Suppose 30*o + 1057 - 1087 = 0. Let r(p) = 2*p**2 - 20*p + 3. Calculate o*r(x) + 3*w(x).\nAnswer: 2*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - v - 1369, 4*v + 835 = 3*q. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - j - 118, a = -3*a + 2*j + 156. What is the highest common divisor of a and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -48. Let y = 93 + s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 193.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9578.5 + 9577. What is the closest to 7 in -0.3, g, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-b - 6*b**5 + b) - 3*b**5 + 0*b**5 + 5*b**5.\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 162 = 5*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*p = 3*u + 2, -3*p = -5*u - 3. Let d be (2 - 1) + (-1 - -4). Suppose t**2 - d - 4*t + t**2 + 2*t + u*t**2 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1 + 1 - 3 + 0 + (-1 + 2 + 1)*(1 - 3 + 0) - 4 + 1 + 4 + (-1 - 2 + 1)*(2 + 3 - 4))*(11*s + 4*s - 10*s) in the form b*s + y and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6303*l + 5950038. Give u(-944).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 0*c**2 - 2335*c + 1167*c + 4799*c**3 + 1168*c)*(18*c + 7*c - 7*c) as r*c + s*c**2 + x*c**3 + j*c**4 + i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 43. Let l = -89 + z. Put l, -7, 1\/4 in decreasing order.\nAnswer: l, 1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2465?\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 45 - 9. Suppose -5*l + 3*w - 119 = -p*l, 2*w - 10 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-15 - 7) - -3989 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 19*d - 82. Calculate q(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:10 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -122823 rounded to the nearest 1000?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b. Let l(m) be the second derivative of 31*m**3\/6 - 64*m. Determine v(l(q)).\nAnswer: -217*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/419041 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2797 + 3879. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, -11, -12.2 in decreasing order.\nAnswer: 0.5, -0.1, -11, -12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174521\/12 - -14534. Calculate the common denominator of h and (-1 - 8) + (53408\/1536 - 32) - -8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 15*d**2 + 16*d + 35. Let g be p(17). Let z = 446 + g. Calculate the highest common divisor of 75 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 8. What is the remainder when 1 - 7\/((-7)\/10) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4824 = -315*c - 378*c - 111*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - w, -i + 0*w = 5*w - 26. Let c be (4\/(-6))\/((-1)\/i). Suppose c*m = 5*m - 61. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 907502572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 1)*(-2*u - 36 + 48 - 26 + (2 - 4 + 0)*(-7*u + 4*u + 4*u)) to l + h*u and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 28 = 4*s, x - 162 = -s - 171 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 22*h - 27. Let i be d(-6). Sort 0, i, -1.2 in ascending order.\nAnswer: i, -1.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*24\/(-420)*-30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1416172536 divided by 6843\nAnswer: 206952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/27*1)\/((-9260)\/34725)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 - 5*h**3\/6 - 13*h. Let x(o) = -3*o. Let f(k) = -2*k. Let y(q) = -4*f(q) + 3*x(q). Calculate -i(d) + 5*y(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9899\/4 + 2492. What is the common denominator of p and 39\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 9, 5 in descending order.\nAnswer: 47, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 6*q**2 - 6*q + 4. Let o be p(-5). Let m = -9 + o. Differentiate -4 + m*r**3 - 5*r**3 + r**3 + 0*r**3 with respect to r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*-6*42*(-40)\/120?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 3*x + 2*x + (-x + 0*x + 0*x)*(2 - 5 + 2) + 0*x - 3*x + 0*x + 41*x - 66*x - 39 + 26*x.\nAnswer: -2*x - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4400\/330)\/(8\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089*b + 1619 + 1001 = -1736 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*a + 34, 5*a - t = -4*t - 37. Let p be (-42)\/a - (-1)\/(-4). Let o(r) = r**3 + 4*r**2 + 2*r + 1. Let n be o(-2). Solve -p - 10 = n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n - 13*n**3 + 4 - 5 + 2 in the form d + i*n**3 + v*n**2 + c*n and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.07921, 3\/34, -2\/7?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (-50 - 32 - -33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7996787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*k - 56, 5*v + 0*k - 82 = -k. Let y(m) = 2*m + 5*m - 3*m. What is the lowest common multiple of y(1) and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 16676*y**3 - 66768*y**2.\nAnswer: 4*y**2*(y - 4)*(y + 4173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/31)\/u**(-2\/31)*(u\/(u*(u**(3\/8)\/u)\/u*u))\/u*u**(7\/5) assuming u is positive.\nAnswer: u**(1431\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26488 + -26493. Is w not equal to 1\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17236418 divided by 17236418\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.04 + 78. Let j = 5.04 + k. What is the closest to -2 in j, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, -9, -3, -1, 4.\nAnswer: -34, -9, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8415 = -110*h - 385*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*c*o**4 + c*o**3 - c*o**2 - 108*c*o - 2*o**4 - 1 wrt o?\nAnswer: -528*c*o + 6*c - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(46 - 27 - 346)*(3*u**3 - 2*u**3 + u**3) as b + k*u + g*u**3 + a*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244584647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/5 + 38*y**3\/5 - 18*y**2 + 36*y\/5 = 0. What is y?\nAnswer: 0, 1\/2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6138?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 - 22*w**2 - 1040*w - 6200 = 0.\nAnswer: -10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481601 divided by 3?\nAnswer: 5481601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 72*v**2 - v - 83. What is i(-72)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10844108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/3908 and 117\/14.\nAnswer: 27356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -11 + 24 - (-3 - (-21 + -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3 - (-1 + 1). Let a = x - 6. Let j be (2\/a)\/(24\/(-20)). What is the second biggest value in 0.1, j, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74122 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*o - 15, 6*o + 6 = 2*j + 3*o. Suppose 2*p - 101 = 2*z + 3*z, j*p - 2*z - 157 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, u: 4}. Give prob of picking 2 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6 - 4 + 132*j**3.\nAnswer: 132*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145656 and 4.\nAnswer: 145656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 14, 335, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/6)))\/((z**(-8)\/z)\/z*z)*(z**(2\/7)\/z)\/(z\/(z*(z**(-1\/9)*z)\/z)) assuming z is positive.\nAnswer: z**(1009\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 2*d**2 + 4*d + 3. Let j be i(-3). Solve -3*v + 15 = j, 4*z + 2*v = 2*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 5, -1, 4 in decreasing order.\nAnswer: 12, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:40 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 224793 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130875 is divided by 18251?\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/4 - 2*t**3 - 5*t**2\/2 + 6. Let m be d(-6). Let i = -26 + m. Solve 9 = i*n + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037287 * -5.\nAnswer: -0.186435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -4 + (sqrt(15)\/sqrt(3))**2 + sqrt(25)\/(sqrt(450)\/sqrt(10)).\nAnswer: 1 + 25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u + 48 - 25*u - 27*u - 24*u.\nAnswer: -2*u + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24969 is divided by 8288?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 - (-2 + 2). Suppose 2*q = t*q - 2127. Suppose 0 = -5*w + q - 812. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -3 (b) -0.06 (c) 3 (d) 1144 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 - 5*z**4\/6 - z**3\/3 + 11*z**2\/2 - 12*z - 9. Determine d(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-8)*(76\/475)\/(4\/(-10)). Sort -1\/3, c, 46, -5.\nAnswer: -5, -1\/3, c, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155784.\nAnswer: 2, 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Let c(s) = 7*s**3 + 4*s - 129. Let v(u) = c(u) - 6*k(u). Differentiate v(j) with respect to j.\nAnswer: 21*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78 - 126 + 139)*(0 + 4 - 3)*(-r**4 + 2*r**4 + r**4) in the form l*r**4 + v*r**2 + t*r**3 + g + m*r and give l.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 4251.\nAnswer: 850.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25902893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -25. Put o, 0, 1 in increasing order.\nAnswer: 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*q**3 - 85*q**2 + 160*q + 140.\nAnswer: -5*(q - 2)*(q + 7)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 2*r**2 + 2*r + 6. Let k be z(0). Suppose 32*d - 34*d = -k. Which is the closest to -1? (a) 4 (b) -5\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 21 - 37 + y + 20. Suppose 2*z - 3*z + r = 4, 12 = -4*r. Calculate l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124012000 (base 5) to base 12.\nAnswer: 2551a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:50 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(13\/(-156)*6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726078608.\nAnswer: 2, 61, 743933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a5494 - 9?\nAnswer: 2a5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 1\/3*o**2 - 149\/3*o + 0 = 0.\nAnswer: 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4 + 10765240*r**3 - 14486309797436*r**2 + 28972587299160*r - 14486288266962 = 0.\nAnswer: 1, 2691309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 9*r + 5. Let s be w(9). Let u(c) = -c - 5 + s. Does 5 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/8 - 183*r\/8 - 91\/4 = 0.\nAnswer: -182, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + w - 7, 3*s + 0 = 5*w + 5. Suppose -8*a + 4*l + 69 = -5*a, -a - s*l = -23. Solve 0*t - 5*t - 5*o = 20, 0 = -2*t - 5*o - a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3008 (b) -2\/17 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 136?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 1\/4 (c) 5 (d) 0 (e) 212 (f) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 99*t**2 - 914*t - 41934. Calculate o(-94).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1053 by -13.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-6)\/4*-2. Suppose y*w = k + 43, -4*w + k = -3*k - 28. Let s(n) = -3*n + 114. Let v be s(35). What is the highest common divisor of v and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318 - -991. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*i**2*r**4 + 4*i**2*r**3 - 2*i**2*r**2 - 3*i**2*r + 37*i - r**4 - 2*r**2 wrt r?\nAnswer: 2208*i**2*r + 24*i**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0)**34)**(-26))**(-9) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**6\/40 - l**3\/3 + l**2\/2 + 2*l. Let f(o) be the first derivative of y(o). Differentiate f(z) with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3369242 and 49\/50082.\nAnswer: 171831342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 31, -3, -2, 1, -93 in increasing order.\nAnswer: -93, -29, -3, -2, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15874 (base 15) to base 8.\nAnswer: 207441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 585 and 9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 41\/31, 3\/4, 46, -14\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130167, 130236, 130307, 130380, 130455, 130532?\nAnswer: 130611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50470.\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -549400, -549412, -549448, -549520, -549640, -549820, -550072?\n\"Answer: -2*y**3 + 2*y - 549400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -0.8. Let g be ((-12)\/10)\/(3\/2). Which is the closest to 1? (a) p (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-16 + 8)) + 52 + -60. Determine q so that -56\/11*q - 16\/11 - 28\/11*q**j + 30\/11*q**3 = 0.\nAnswer: -2\/3, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 42 = 3*f. Suppose 3*l + 5 = f. Suppose l*p = -k + 25, -3*k + 59 = 5*p + 12. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-21 - -1)) + 9 + 43 + 2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 + -249. Let i(u) = -17 + 3*u**3 + h*u + 7*u - 4*u**3 - 5*u**2 + 21. Let s(g) = -g. Let q be s(6). Calculate i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 565771488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(10\/(-270)*-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6603461, -6603462, -6603463, -6603464, -6603465?\n\"Answer: -f - 6603460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)\/((-3)\/(-69)). Let h = -23 - z. Factor 1\/3*m**5 + 0 - 1\/3*m - 2\/3*m**4 + h*m**3 + 2\/3*m**2.\nAnswer: m*(m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 297 - 295. Suppose -3*o + 30 = 2*o. Differentiate 3 - o - 4*i**2 - 4 + i**b with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + 1414. Let z = w + -787. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2. Let n(x) = -2*x - 8. Let h(z) = 4*k(z) + n(z). Let o(d) = -100*d. Give h(o(b)).\nAnswer: 200*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (24 - (-12 + 24)) + 2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12807 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496 + 471.9. Let a = r + 24. Let j be 11\/(-15) + (-4)\/(-10). Sort 1\/2, a, j in decreasing order.\nAnswer: 1\/2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*b - 116*b + 198516 = -321*b. Do -2331\/5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppepeeepp. Give prob of picking 3 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 37 - 15*i - 5 + 14*i + 6*i. Let r be p(-5). What is the first derivative of 7*u**3 + r*u**3 + 10*u**4 - 1 - 14*u**3 wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(931) + (-3*sqrt(133))\/sqrt(7)).\nAnswer: -8*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -16*h**2 + 132 + 1\/2*h**4 + 0*h**3 + 76*h. Differentiate z(l) with respect to l.\nAnswer: 6*l**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.2. Let j = -31 - 582. Let d = j - -612.9. Which is the smallest value? (a) 1\/7 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*t - 34*g**3 + 58*g*t - 2*g - 66998*t wrt g.\nAnswer: 3*g**2*t - 102*g**2 + 58*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351771*u**3 - 95*u**2 + 650929881.\nAnswer: -1055313*u**2 - 190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2924 and 72154.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8308.266s?\nAnswer: 138.4711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -4.3. Let p = -0.503 + 0.503. Let n be (-9)\/(-24) - 2\/4. Which is the closest to p? (a) -0.3 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2 + 2064*t + 18796. Calculate w(-9).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h - 3*h + 2*h)*(-1 + 3 - 1) - 4*h + 0*h + 3*h + h + 0*h + 0*h)*(-45136 + 5142*h + 45136).\nAnswer: -15426*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -3, 2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by (-55)\/2*(-36)\/45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let k = -4 + 6. Let w(y) = -2*y**k + 47*y - 47*y. Give f(w(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (4 + -2)) + 93 + (23 - 67)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/3 - 290180*s + 1741072\/3 = 0 for s.\nAnswer: 2, 435268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 336250*n + 2353995.\nAnswer: -5*(n - 7)*(n + 67257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -5.97. Let w = 5.7 - k. Let t = 0.1311 + 0.0689. What is the smallest value in w, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 597*d + 71*d - 225*d + 11 + (-4*d - 1 + 3*d + 0*d)*(4 - 2 - 3).\nAnswer: 444*d + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - 9\/((-45)\/40). Let j be (24\/(-36))\/(2\/(-6)). Sort j, 6, -1, d.\nAnswer: -1, d, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 19*1\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 5. Let w(q) = -q - 33. Let v be w(24). Let c = i - v. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (75\/105)\/(1 + 4\/(-8)) and 43\/67.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14 (b) 132 (c) 52 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u + 15. Let q(g) = -g. Let x(c) = -63*c - 14. Let m(o) = -56*q(o) + x(o). Suppose -4*i = -3*b + 34, -2*i = -2*b + 4 + 16. Give b*p(d) + 7*m(d).\nAnswer: -d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 19\/75, 6\/53, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252136*w**5 - w + 24679 wrt w.\nAnswer: -5042720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 1 + 57)*(-1 + 8 + 6)*(-2 + 2 + 2)*(2 + 2*p - 2)*(-2*p - 2*p + 5*p) in the form o + g*p + d*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 0, 2*y - 12 = -3*q + y. Suppose -19*k + 22*k = 9. Solve 5*v - k = -q*x, 3*x + 4*v = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 42, 106, 196, 312?\n\"Answer: 13*m**2 - m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 13780\/(-6). Let i = h - -18455\/8. Calculate the common denominator of 95\/6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455\/((-138)\/(4692\/238))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + (-19 - (-8 - -1) - (-29 - -13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**5\/60 + z**3\/3 - 3. Let f(h) be the third derivative of i(h). Let r(m) = -2*m**2 - 2*m**2 + 3*m**2. Give r(f(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (18 - 17)\/(1\/(-4)). Suppose -2*f + 5 = p, -d*f = -p - 0 + 13. Let u(q) = q**2 - 10*q - 2. Give u(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162829 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4 + 11192*r**3 - 10419730*r**2 - 34845688*r - 10457067 = 0.\nAnswer: -3, -1\/3, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/410)\/((-7004110)\/(-1167350) - 6). Let c = q + -2278. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u + 27. List the prime factors of x(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d + 2. Let j(m) = -15*m + 3. Let i(b) = 5*c(b) - 4*j(b). Give i(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9\/f*f*f**(1\/13)*f*f**(-6)\/(f\/(f**(-9\/2)*f)))\/(f**(-4)\/f**(1\/4))**(1\/5) assuming f is positive.\nAnswer: f**(111\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/5 - 18*h**3\/5 - 52*h**2\/5 - 48*h\/5.\nAnswer: -2*h*(h + 2)*(h + 3)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - c + 50 = -89, -5*r = -c + 346. Is r < -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1169655, -2339478, -3509301, -4679124?\n\"Answer: -1169823*k + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 2\/17, 630, -2\/9, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269\/788 + -18\/197. Let l = 71 + -74. What is the fourth smallest value in 2, 0, t, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**5 - 6*a**4*r - 623*a*r wrt a.\nAnswer: 660*a**3 - 72*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - 196\/16. Let r be (-13 - p)\/((-2)\/(-194)). What is the tens digit of 3 + 1 - (5 + r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -7. Suppose 23 + 39 = v*d. Let b be -3 + 1 + (d - 4). What is the highest common divisor of 75 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + (5 - (-350)\/(-45)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:35 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51)\/18 + 2 - -1. Let y = -618 + 601. Which is the closest to -0.1? (a) w (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -2\/13 (c) -4 (d) -16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -779\/13 - -32\/91. Let v = 60 + r. Which is the third biggest value? (a) -1 (b) 5\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4)*u**(2\/9)*((u\/u**1*u)\/u)**(-2\/13))**(-8\/5))**16 assuming u is positive.\nAnswer: u**(640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2142519*k**3 + 14426*k + 428 wrt k?\nAnswer: -12855114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -24*x**5 - 410*x**4 - 422*x**3 - 96*x**2 = 0.\nAnswer: -16, -3\/4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2379 - -2379. Solve u = 4*c + 4*f - 20, 0 = 4*c + 122*f - 126*f - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-2)\/50)\/((-1222)\/30550)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -23*o**7\/210 + 37*o**6\/120 - 339*o**5\/10 - 2545*o**2. Find the third derivative of i(b) wrt b.\nAnswer: -552*b + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 1, x: 1, o: 1, v: 5}. Give prob of sequence vvx.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/180 + 19*h**5\/90 + h**4\/2 - 13*h**2 + 3*h. Factor o(i).\nAnswer: 2*i*(i + 1)*(i + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -699 + 10483\/15. Let l = 0.3 + -1.3. Put -0.01, 0.3, o, l in decreasing order.\nAnswer: 0.3, -0.01, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2891*l - 63620. What is t(22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*q, 73*d - 8 = 70*d + 5*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926 divided by -133?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 4*f + 4. Let v be l(-4). Suppose -v*h - 1 = -9. Solve h + 3 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o - 2. What is p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.73 + -133.27. Let t = y + 137.5. Round t to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2*r**2 - 1289 + 842 + 849 in the form f*r**2 + k + t*r and give k.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 8075419337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406768320?\nAnswer: 2, 3, 5, 7, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 332.000432 - 332. Round u to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26335273, 26335261, 26335235, 26335189, 26335117?\nAnswer: 26335013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 19*w**2 + 4*w - 50. What is the smallest common multiple of 16 and q(19)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/15 and 59\/435?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -8*f**3\/3 - 3*f**2 - 7. Find the second derivative of j(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 793, 0.2 in descending order.\nAnswer: 793, 1, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1)*(-48 + 49). Suppose u*o - o = -0*o. Solve g + 2 = i - 2*g, g = o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-32 + 19 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 12*u - 5. Let i(t) = 5*t**2 - 11*t + 4. Determine 5*i(f) + 4*q(f).\nAnswer: f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by -2.\nAnswer: -217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.1 - 4.1. Let i = -21.9545 + b. Let v = 0.04550267 - i. Round v to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 271*b - 8000. Give z(44).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a - 2*a**2 + 3*a)*(a + 6*a + 19*a) + a**3 - 5*a**3 - 2*a**3)*(2*a - 3*a + 0*a).\nAnswer: 58*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122 and 16.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146772*r + 73384*r + 73390*r + 35*r**2 + 2 + 50*r**3 to c*r + q + m*r**3 + p*r**2 and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 + 4*s**3\/3 - 3*s**2 + s. Let p be m(7). Suppose -p = a - 36. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3901 = f, 4*f - 2195 = -3*k + 745. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.5. Let z = -34643\/27 - -1283. What is the second smallest value in z, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 246\/24)*0. Solve -7*s + 7 = -a*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160048 to the power of 1\/2, to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 16*h = -19. What is the remainder when 99 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.143 + 3.8. Let u = -0.057 + g. What is the biggest value in 0.07, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + i + 1. Let w(p) = p**2 - 7*p - 7. Suppose -3*u - d + 29 = 0, -4*d = -u + d - 17. Let y be w(u). Does 3 divide j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -12*n**4 + 15*n**3 + 99*n**2\/2 + 6*n + 1574. Solve u(q) = 0 for q.\nAnswer: -1, -1\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 29. Let x = 21 + g. Let f be 4\/(-5)*15\/x. Which is the biggest value? (a) 1 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*z + 18226 = -7715 - 10159 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 6. Let t = -14 - -18. Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 27*c + 23. Let l be x(26). Let v be -6 + 154\/21 + (-34)\/30. What is the fourth biggest value in l, v, -0.3, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 4522.\nAnswer: -4523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 10*p - 48. Suppose 4*l = 5*x - 39205, -p*x - 4*l + 14844 + 838 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -10.9, -0.1, -4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 44*b + 20. Let t be y(5). Let i be 4 - (-1 - 2) - 4. Suppose -i*k - 3 = -t. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-4)*2\/(-12). Let r = -969.1 + 930. Let t = 39 + r. Sort t, h, 1 in descending order.\nAnswer: 1, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20854*f = -21039*f + 1295 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c + 5. Let s be w(-4). Let l be -3 - (s + 2) - -1. What is the units digit of 1\/l + 124\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 933, 3073, 6433, 11013, 16813, 23833?\nAnswer: 32073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(19)) + sqrt(19) - (((sqrt(133)*1)\/sqrt(7))**2 + sqrt(19)).\nAnswer: -17 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 9*w + 30. Suppose 2*f + 61 = q, f - 19 - w = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/5 + 28*j**3\/5 - 2788*j**2\/5 + 2128*j = 0. Calculate j.\nAnswer: -70, 0, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/20*(-12)\/9. What is the closest to f in -2, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 150. Calculate the least common multiple of 10\/15 + s\/12 + 4 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2. Let y(p) be the second derivative of p**4\/6 - 35*p. Calculate y(t(x)).\nAnswer: 98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*u + u - 2, -20 = -5*u. Let g(z) = -14*z**2 + z - 20. Let h(k) = -5*k**2 - 7. Let j(p) = 6*g(p) - 17*h(p). Determine j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.60216nm in kilometers?\nAnswer: 0.00000000004660216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 191, 289, 389?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-50346)\/(-16) + 0\/3. Let l = y + -3150. Find the common denominator of -57\/10 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 24. Let c(b) = -b**2 - 8*b + 11. Let m be c(-9). Suppose 8 = 2*i + m*i. Solve i*f = -2*f + z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601299719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472474 to the power of 1\/2, to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755 = -16*n - 771 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23167.71 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)**(-1\/6)*(p*p**1*p)**(-32) assuming p is positive.\nAnswer: p**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -17 + 0*j + 15 - 5*j. Let i(r) = 6*r + 1. Let y(q) = 3*i(q) + 2*p(q). Find the first derivative of y(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(704) + -1).\nAnswer: -4 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*u**2 + 69*u**2 + 71*u**2 as z*u + x + w*u**2 and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 - r - 4. Let w be g(-1). Let c(a) = 4*a + 38. Calculate the remainder when c(w) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -11*q**8\/16 + q**5\/4 - 97*q**2. Find the third derivative of y(s) wrt s.\nAnswer: -13860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:37 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -118*z**3\/3 + z**2 - 866*z - 1728. What is the first derivative of d(o) wrt o?\nAnswer: -236*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103819 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81595398 to the power of 1\/2, to the nearest integer?\nAnswer: 9033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.402 from 63474.\nAnswer: 63473.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063432538?\nAnswer: 2, 7, 163, 466009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/46 - 27\/184. Let o = -7 - -4. Let z = -1 + 1. Sort o, z, s in decreasing order.\nAnswer: z, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413366100 by -2.\nAnswer: 206683050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -5\/6*r**3 + 12*r**2 - 1\/12*r**4 + 0 + 0*r. Let q(b) = 28 - 22 + b + b. Determine 3*q(v) + 4*t(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763204639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + r + 10 = -7, 0 = -4*h + 4*r + 20. Suppose 0 = -3*x + h*k + 198, -x + 19 = 4*k - 47. Let f = x - 46. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 584*q - 37. Let l be p(1). Let z = -544 + l. Solve 4*b + w + z*w + 28 = 0, 5*b - 2*w + 14 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*(l**(-2\/19)\/l)\/l)**(2\/21) assuming l is positive.\nAnswer: l**(-194\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*c + 4285, 1186 = 5*p - 4*c - 3095. Let j = p + -140. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 283598 and 480998?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + -1756?\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17)\/b)**(2\/13))**(4\/23) assuming b is positive.\nAnswer: b**(-144\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/24)*u**(-2\/73))\/((u\/(u\/(u\/(u\/(u\/(u*u**(-8)\/u))*u))))\/((u\/u**(-20))\/u*u)))**(3\/22) assuming u is positive.\nAnswer: u**(26159\/12848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - bb103?\nAnswer: -bb101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1595288868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:04 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2. Let i(x) = 812*x**2 + 1. Calculate i(r(y)).\nAnswer: 12992*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1336 and 501.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + -2410343043?\nAnswer: -2410343140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17091 and 1949007.\nAnswer: 52623189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5 = -g. Suppose 1 - g = -4*w. Let a be -6 + ((-6)\/3 - -4). Put a, -5, w in ascending order.\nAnswer: -5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 16. Let u(z) = z**2 - 7*z + 3. What is u(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (0 + -2 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 464.345465 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 255 = -2*h + 35, 3*t - h - 163 = 0. Suppose -3*j - 4*d + t = 2*j, -j = -5*d - 28. Suppose 11*u - j*u + 370 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*x - 75. Let k(v) = -v**2 - 8*v - 5. Let j be k(-5). Solve -b - 5*m + 4 = x, 3*b = 2*m - j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5933684?\nAnswer: 2, 41, 97, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j**3 - j**2 + 6 + 0 - j**3. Let o be p(0). Suppose z + 165 = o*z. What is the remainder when 129 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (6 - (5 + 2)). Let y(u) = 206*u**a - 393*u**2 + 197*u**2. Let s(i) = -19*i. Calculate s(y(p)).\nAnswer: -190*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -576*a**2*g - 10*a**2*n + a*g*n - 3*a - g*n - 11*g - 5*n wrt a?\nAnswer: -1152*g - 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 14*v - 26. Let g be u(-18). Suppose -5*l - f = -231, 3*l + g = f + 183. Let w = -17 + l. What is the common denominator of w and 31\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 2, c: 2, w: 5, t: 8}. What is prob of picking 2 c and 2 w?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 - 8*s + 1. Let h(a) = -7*a**2 + 7*a - 1. Let n(i) = -4*g(i) - 5*h(i). Calculate the remainder when n(-3) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 2 + 2)*(0 - c + 0) + 3 - 3 + 2 - 2*c**2)*(1 + 9 + 0).\nAnswer: -30*c**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 21*v**2 - 59*v + 12. Determine c(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*d + 12, -5*c + 24 = 3*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = 0, 3*n - 17 = 15*w - 14*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) 2 (d) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 990879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*c - 2*c = 11, -3*z + 3 = -c. Suppose z*j = b, -2*b - j + 21 = 2*j. Calculate the common denominator of 9\/10 and ((-87)\/(-48))\/((-1)\/b).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9541, 9545, 9551, 9559, 9569, 9581, 9595?\nAnswer: 9611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 844326?\nAnswer: 844326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -215.\nAnswer: 4\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -172\/3 + 1\/3*z**2 - 57*z.\nAnswer: (z - 172)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2962 and 93882071?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = f + 9, 53*v + 3*f = 55*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 25.8. Let s = 6.3 + -6. Which is the closest to -1? (a) 0.1 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22404 is divided by 5554?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7274*k**6 + 42*k**5 + 128*k**3 + 49659274*k**2 - 4*k?\nAnswer: 872880*k**3 + 2520*k**2 + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1, -2\/5, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11320 divided by -196\nAnswer: -2830\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**8\/448 - a**7\/140 + a**5\/40 - a**4\/32 + 3*a**2. Factor v(c).\nAnswer: 3*c*(c - 1)**3*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8404195?\nAnswer: 5, 1680839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179994628 by -16363148.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (-4120)\/80 + 15.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-4))\/(-9))\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**6\/360 + q**5\/40 - q**4\/4 + q. Let a(m) be the third derivative of b(m). Differentiate a(c) with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-21) + (-2)\/6. Let o = -4014\/7037 - -17\/31. Let k = -499\/2043 - o. What is the fourth biggest value in t, 2, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1247 - 77?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 23*c - u + 21 = 0, 5*u + 15 = c. Let l(n) = n**2 - n. Suppose -2*z - 1 = 1. Let k(s) = -8*s**2 + 5*s. Determine c*l(p) + z*k(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/8*1064\/19760*-52?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -402.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 992137.9 kilograms?\nAnswer: 992137900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 = 6. Suppose 5*c = -q*u + 8, 0 = -3*u - 2*c + c + 25. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4233 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 6*c = 20. Suppose -8 = -c*k + 28. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055068 rounded to five decimal places?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256 + 1271 - c**2 - 2*c**3 - 17 to the form b*c**3 + g*c**2 + j + y*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -11.45. Round q to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, b: 1, k: 1, m: 1}. What is prob of sequence bq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(-2)*(-286)\/1430?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4346672 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 49307*r - 1 + 247499*r.\nAnswer: 296806*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1*(-21)\/21. Solve -4*h + 4 = 4*f, -h + 0*f + 1 = m*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 4*c - 15. Suppose 34 = c*f - 8. What is the remainder when 54 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + -2*sqrt(931))**2.\nAnswer: -168*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let n = 360 - 355. Let u(a) = -2*a**2 - 4*a + 1. Calculate n*j(d) + u(d).\nAnswer: -2*d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oss when three letters picked without replacement from tsyesffofets?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/6 + 7*n**3\/6 - 3*n**2\/2 + 404*n. Give p(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62396 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2782 * 0.5.\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in -2, 0.3, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -89, -167, -279, -431, -629, -879, -1187?\n\"Answer: -f**3 - 8*f**2 - 19*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 f when four letters picked without replacement from qqfqfqqqffqqffqqrrfq.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 1452 in decreasing order.\nAnswer: 1452, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 756, 1446, 2132, 2814, 3492?\n\"Answer: -2*y**2 + 696*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p - 67. Let o be h(-4). Let a(m) = m**2 + 6*m + 4. Let g(z) = -2*z**2 - 11*z - 7. Give o*g(n) - 5*a(n).\nAnswer: n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3533.3 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 3*t**4\/8 + t**3\/2 + 4*t**2. Let f be g(-5). Is 2810\/14 - 12\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 34. Let y be z(13). Suppose y = -6*d + 44. What is the units digit of d\/(-21) - ((-4)\/14 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220212201110101 - 102?\nAnswer: 220212201102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*h - 34 = 0, j + h = -j + 11. Let d be (-15)\/2*j\/(-5). Solve -3*t + d = -4*s, s + 3 = t - 2*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + -1*sqrt(208) + (sqrt(208) - 1*-1*sqrt(208)))**2.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19566 + 4*v**2 + 39130 - 19564. Let u(b) = 288*b**2. What is u(c(o))?\nAnswer: 4608*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:39 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4311017177\/69 - -62479703. Let t = j + -9465\/23. Let s = t + -761. What is the common denominator of 31\/2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138195*i**2 + 1913.\nAnswer: -276390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4, 7*l - 2*l = -z + 8604. Let o = l + 733. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 269*b**2 + 535*b - 69. Calculate p(267).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = -4*x, -q = -2 + 4. Let j(p) = x + p - 3 + 0. What is the units digit of j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3505 and 97\/33080.\nAnswer: 23189080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and (2\/468)\/((-8)\/(544\/51))?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 1, g: 2, x: 2, i: 2, m: 1}. Give prob of sequence xiim.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7880378 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/6 + z. Suppose q + 2*q - 18 = 0. Let f(g) = -g + 8*g + g + q*g. Give y(f(d)).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 22*b - 65. Calculate i(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/8987 - (-403880)\/(-9614).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17346 = 160*h - 391*h - 620*h + 25*h. Suppose 3 = -p + 21. What is the lowest common multiple of p and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -35\/4 (b) 20 (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-3 - 0))*-1. Let t be (10 + -1 - a)*1. Suppose -113 = -5*l - 3*n, -5*l - 3*n + 2*n + 121 = 0. Solve -4*j - t*s + l = -12, 3*s = 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 76*w = -17220. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440188 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: Factor -4*f**2 - 274414072*f - 4706442681976324.\nAnswer: -4*(f + 34301759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88162485 rounded to 4 decimal places?\nAnswer: 0.8816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -11 - -14 - (1 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/61 or 0?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2467 - 5\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 2)*(-4*w + w**3 + 4*w) in the form z*w**3 + l + k*w + r*w**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 865433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -1) + (-3)\/(-1). Let n = y - 6. Let d = 0.1 + 0.1. What is the second biggest value in d, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**4 - 98*x**3 + 26*x**2 + 98*x - 32 = 0. What is x?\nAnswer: -1, 1\/3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 - 652*f**2 + 264.\nAnswer: -652*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205931 and 3474.\nAnswer: 3706758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5 - 1. Suppose -2*m + 3 = -3*n, 0*m + f*n = -2*m - 2. Let l = -220 + 224. Solve -l*g + 2*b - 24 = m, 3*b - b + 12 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 6. Let g be d(-5). Calculate the lowest common multiple of 18 and (1 + -2)\/(8\/g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 24 = 4*x, 0 = 2*y - 4*x - 370 + 386 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 1)*18\/(-135). Is 0 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20964150 = 28655934. Let r = x + 87420088. Suppose -4*n + 2*n - r = 4*f, n - 4*f = -18899996. What is n rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.056 + -2.056. What is the closest to u in -0.5, -16, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 - 209 - v**2 - 23381*v + 23479*v - 213.\nAnswer: -v**2 + 98*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.099.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - -8)*2\/5. Let q(w) = w**3 + 5*w**2 + w - 1. Calculate q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25096 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19240 - 19239. Sort -7, 8, 6\/5, -1\/4, x in ascending order.\nAnswer: -7, -1\/4, x, 6\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/985356 and 57\/8758720?\nAnswer: 78828480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125007 (base 8) in base 3?\nAnswer: -120112022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-27))\/((-1824)\/8208)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (13\/(-3))\/(1 - 0) and -51\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 7*o - 9*o + 6*o - 5*o.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**2*n**3 + 34632*k**2*n**2 + 18*k**2*n + k**2 + 8*k*n + 41*k + 3*n wrt n.\nAnswer: -84*k**2*n + 69264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2303 - 9*r**2 + 2304 - r**3 - 4604 + r**2 as k + t*r**2 + i*r + h*r**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 8.3760154055715.\nAnswer: 7.9760154055715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (144\/11664)\/((-96)\/864*(-2)\/((-4)\/(-6)))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -195? (a) -158 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b + 7*b**2 + 34*b - 15*b**2 + 279*b + 6*b**2.\nAnswer: -2*b**2 + 416*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 4. Give q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w**2*w)\/w)\/w)*w)**(-1\/13)\/(w**3*w**20*w) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 17*w**2 + 20*w + 34. Let s be t(-18). Let n be (0\/1)\/(1 - -1). Put s, 3, n in descending order.\nAnswer: 3, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 2. Suppose 7*w = 2*w. Suppose w = 5*z - 5, l - 2*z - 1 = -z. Let h be f(l). What is the greatest common factor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -1\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/940 and 97\/220?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288073639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaza when four letters picked without replacement from {a: 2, z: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 14 - 6, 0 = 3*c + 4*m + 5. Let i = -4 - c. What is the third derivative of -l**2 - i*l**3 + 3 - 3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 9*k. Which is smaller: 3\/20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*b + 15 = -2*b, 0 = b - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/14 + (-234)\/(-91)*18471\/12?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165540 a multiple of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 460633883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.5709272 to one decimal place.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 7*w + 5*p, 2*w - 150 + 156 = 3*p for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*h - 13*h - 110*h.\nAnswer: 611*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + 267\/12. Suppose 2*d - 12 = k. Suppose 3*s - d = -2. Solve 2*i - 3*j = 13, s = -4*j + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:27 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:27 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f + s - 24135892, 3*f = -2*s - 14481543. Let q = f - -7187179. Suppose 5*g - 3*g - q = 0. What is g rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 1. Let h(s) = s - 2. Let g(n) = 4*h(n) + 5*r(n). Calculate the least common multiple of g(-13) and (-4)\/(-10) - 108\/(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h - 1. Let f be a(1). Let i(m) = 21*m**2 - 19*m - 14. Is i(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-9))\/(16\/12)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6846 and 55\/49.\nAnswer: 47922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36226048351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -2\/5 (c) 3042 (d) -1\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1512 or -1513?\nAnswer: -1512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 300. Suppose 8*i - 282 = -82. Calculate the greatest common factor of y and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -52 (c) -11 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405 + -210115?\nAnswer: -210524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by -72?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10\/3, 16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - c + 22 = -51, 5*b - 107 = 2*c. Suppose 4*u - t = 19, -t - t = -5*u + b. Solve -u*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.77 - -1459.23. Let c = -196696088456.00000849 - -196696089934. Let b = z - c. What is b rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2db (base 16) to base 7\nAnswer: -2063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2428 by -4.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 290 = 302 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - r + 32 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*x - 268*x + 125*x.\nAnswer: 876*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*((0 + sqrt(539) + sqrt(539)*-3)**2 - (3 + sqrt(539)*-5)**2).\nAnswer: -135936 + 2520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -0.012 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231549*x + 694512*x - 231556*x + 4*x**2 - 231407*x.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**3\/7 + 68382*r**2 + 2727723789*r = 0.\nAnswer: -79779, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 65433 (base 10) to base 4\nAnswer: 33332121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360\/3 + -1 + -3 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083754?\nAnswer: 2, 13, 19, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116172240 divided by 2064?\nAnswer: 56285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0302 + 0.061. Let b = 0.1108 - s. Is 0.4 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4 and 5\/1522.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*k + 3*y, 4*k = 4*y - 206 + 210 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8414 and 2397389?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4*m**2 + 53*d**2*m**2 + 10*d*m**2 + 2*d + 2*m**2 wrt d?\nAnswer: -24*d**2*m**2 + 106*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (0 - 2 + 4)*(1 - 5 + 2) + 2 + 12 - 4)*(-p + 5532 - 5488 + 5*p).\nAnswer: 28*p + 308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -597084 divided by 2?\nAnswer: -298542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46272314*r**2 - 139028483?\nAnswer: -92544628*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8911 = -184*b + 2479*b + 9989 - 540 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -28. Suppose 630 = -2*b + i*b. Suppose 5*j = j + 2*y + b, 4*y = 2*j - 60. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13087495 divided by -3\nAnswer: 13087495\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2409*t = 30546 + 5942 + 40600 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*r - 14 + 70, 0 = -r - 5*m - 3. Let y(u) = -r - 14*u + 20*u - 4 - 9 + 9. Calculate y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -0.04, -1, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 233*c**2 - 5390*c + 6. Let y(z) = 194*z**2 - 5390*z + 5. Calculate -5*g(q) + 6*y(q).\nAnswer: -q**2 - 5390*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(1573) - (-5*(3 + sqrt(1573) - sqrt(1573)))**2) + (-4 + -2*(2 + sqrt(1573))*6)**2.\nAnswer: 7414*sqrt(13) + 227066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12812966.61 rounded to the nearest 100000?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2784 * -0.3\nAnswer: 835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 17. Let j be m(-4). Sort j, -0.2, 5 in decreasing order.\nAnswer: 5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 - 36 - 20*-12 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*g - 33 + 8, 0 = 2*p - 8. Suppose 3*m - 2*r - 37 = 0, 6*m = 5*m - 5*r - 16. Let q = 36 - m. Calculate the highest common factor of q and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/40)\/(405\/(-12120)). Let n = -23\/5 + g. Which is the nearest to 1\/4? (a) 1\/5 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(-2)\/3. Let v be ((-1)\/t)\/((-2)\/(-16)). Let f be (-39)\/6 + (-4)\/v. Let o(a) = 3*a + 6. Let n(l) = 9*l + 17. Calculate f*n(k) + 17*o(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 6*n**2 - 87*n + 126.\nAnswer: 3*(n - 3)*(n - 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z - 14*z. Suppose 2 = 7*x - 2*x - 2*w, -12 = -2*x - z*w. Which is the closest to -2? (a) x (b) 4 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by 50.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32f (base 16) in base 4?\nAnswer: 30233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 5 + 0 + 3)*(23*l - 23*l + 4 + 8*l**2).\nAnswer: -8*l**3 - 16*l**2 - 4*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.2. Let f = k - 0.1. Let c = 0.25 + f. What is the closest to 0.1 in -2\/7, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 16*q**4 - 16*q**4 + (1 - 2 - 1)*(0*q**5 - q**5 + 0*q**5) + (3*q**4 - 2*q**4 + q**4)*(0 + 0 - 2*q).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 17*y + 52. Give j(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/50*6*(-40)\/12. Let j(s) be the third derivative of -1\/600*s**d - 1\/25*s**5 + 17*s**2 + 0*s + 0 - 32\/15*s**3 - 2\/5*s**4. Let j(h) = 0. What is h?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 112763044 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -12, -22, -36, -54, -76?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-7) - (-2)\/(-14). Let c = a - -4. Sort -5, 3, c in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 6108946?\nAnswer: -610894b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 t, and 1 i when four letters picked without replacement from {h: 2, l: 4, t: 2, i: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 164095 - 30738 = -225539. What is x rounded to the nearest one hundred?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249 * -2.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045527491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13376 and 13376?\nAnswer: 13376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by 92.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 - 299\/2. Let o = -0.2 - -0.5. Let l = -1.5 - -2. Which is the biggest value? (a) l (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2196823 and 24945?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 135a + -5?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 12 - 27)*(30*d + 4*d + 24*d) - 2*d + 3*d - 2*d + (d - d - d)*(0 + 1 + 0).\nAnswer: -2670*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -22.6, -3\/11, -0.1, 3\/10, -4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + 36*12\/48. Let q(j) be the second derivative of -1\/2*j**2 - 15*j + o - 1\/4*j**3 - 1\/160*j**5 - 1\/16*j**4. Determine b, given that q(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101211 (base 3) to base 9.\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:29 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b + a186?\nAnswer: a077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-4\/7)*u)\/u))\/u*u*u*u**6)**(-47\/4)\/((u*u*u*u**(1\/4)\/u*u)**(-26)*(u\/(u\/(u*u**0\/u)))**21) assuming u is positive.\nAnswer: u**(-227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 392628, 393163, 394054, 395301, 396904, 398863?\n\"Answer: 178*d**2 + d + 392449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -1\/12*y**4 + 0 - 7\/20*y**5 + 7*y + 1\/6*y**3 - 1\/2*y**2. Give x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1589 + 1615 = 13*b. Suppose 3*v - 6 = -3*t, 5*v = 5*t + 6 - 26. Let j = t + -6. What is the third biggest value in 0.4, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13530\/1210 + 2 + (1 - (-70)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.28 + 15.08. Let w = 48.3 - x. What is w rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-70))\/((-168)\/(-35) - 5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (1 + sqrt(272) + 0 + sqrt(272)))*5)**2.\nAnswer: 200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 3*n - 16. Calculate c(12).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let w = -58 + 58. Is w at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16116 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16993841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 68*n - 51*n. Suppose 8*o + 425 = 9*o. Calculate the highest common divisor of o and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = m + 79. Sort -2, -5, m in descending order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4912 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and -28.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 - 0.05.\nAnswer: -411.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:21 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 60 - 54 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d + 2. Let j(c) = -3*c. Give j(b(q)).\nAnswer: 42*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 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: Calculate prob of sequence wwc when three letters picked without replacement from {t: 1, c: 1, b: 1, w: 2, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108496 + (34\/51)\/(2\/12). Round a to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -5, 8, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-30)\/((-4)\/(-3 + 19)). Let z = -119 + r. Let v(q) = q**2 + 1. Let t(n) = -1. Let y(p) = -p - 4. Let w be y(-6). What is w*t(m) + z*v(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 7*m - 6. Let i be l(5). Suppose 3*h + 0*a - 6 = 4*a, 3*a + 8 = i*h. Suppose 0 = -h*x + 11 - 3. Is 6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 667073308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219*h**2 - 7*h - 15*h + 25*h - 1230*h**2 - 3*h.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/92 and 31\/5885880?\nAnswer: 135375240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + g)*(-3 + 147*g - 433*g - 477*g).\nAnswer: 763*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1*f**(-1\/4))\/((f\/(f\/((f*f**(-1\/4)\/f)\/f)))\/f**(-6)))\/(f**(5\/6)\/(f\/f**(-2\/5)))**28 assuming f is positive.\nAnswer: f**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 15*u**5\/4 - 17*u**4\/6 - 12*u. What is the third derivative of b(w) wrt w?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200 + -118. Suppose -4*t - 3*s + 235 = -n, -2*t + 151 = -s. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61215928 a multiple of 1928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/8 + 3*h**3 + 2*h**2. Let x be c(7). Put -0.2, 5, x in increasing order.\nAnswer: x, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86.4088*0.19.\nAnswer: -16.417672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m - 29 = -5*l, 0 = 5*m - 5*l - 25. Let q(u) be the first derivative of -u - 1132. Let j(t) = 11*t**2 + 6. What is m*q(n) + j(n)?\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(4 - 44\/12). Suppose -4*c - 371 = -u*h, 2*h - 3*c = -0*h + 154. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 - 23 + 23.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*j + 5*d + 21, -2*j - 3 = -d. Sort -43.7, 1\/2, 1, j in descending order.\nAnswer: 1, 1\/2, j, -43.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -592*t**3 - 17*t**2 - 39*t + 15904270 wrt t.\nAnswer: -1776*t**2 - 34*t - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 79*w**2 - 39*w**2 - 41*w**2 + 1.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*r - 6, 8 = 2*r - 0*b + 3*b. Let v be 4\/(-9 + r)*254. Let k = v + 178. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/60 - c**4\/8 - 17*c**3\/6 - 25*c**2 - c. Calculate w(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -98, -188, -278, -368, -458?\n\"Answer: -90*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(4\/(-16))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.42 or -9?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 429886 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 - 1. Let z be q(1). Let k(y) = y - 1. Let c be k(z). Let w be c\/21 + (-4)\/(-14). Solve 2*a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2886)\/(-14))\/3 + (-16)\/(-56). Let d(s) = 2*s - 31 - 3*s - 39 + l. Let r = 18 - 13. What is d(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(10\/3)*w*(w**24*w)\/w*w**(-2\/27)*w**(-2\/15) assuming w is positive.\nAnswer: w**(3797\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - 98*p + 278. Determine r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2594, 5200, 7806, 10412, 13018, 15624?\n\"Answer: 2606*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 + (-40)\/(-500)*25. Solve -14*g + 17*g + 15 = 3*r, -9 = m*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from {o: 1, y: 3, u: 1, x: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118 - (41 + 122)) + 155.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*x = 6*d + 82, 3*d = -0*d - 2*x - 29 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 5*g + 2. What is k(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.8. Let g = w + -0.2. Let y be 5 + -9 + 44\/10. Is g greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10072160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 46232 divided by 4\nAnswer: 11558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 275527.5 weeks?\nAnswer: 166639032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58*((-15)\/(-10) + 19\/2). Suppose -a + 2464 = 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2*n. Let a be c(-3). Suppose 0 = -f - 5, 2*s + 24 = -5*f + 9. Let d be 1\/(-5) + 11\/s. Solve -d*m - 5 = -a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -3. Let p = -3 - u. Is 47\/p + 18\/12 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + 9780?\nAnswer: 9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(847) + sqrt(847)) - (-2 + sqrt(847) - sqrt(847))*-5)**2 + sqrt(693)\/(sqrt(44)\/sqrt(4))*4)*2.\nAnswer: -2088*sqrt(7) + 27392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in -3486, 5\/2, -0.08, -0.5, -16?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22b3 + 0?\nAnswer: 22b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-4))\/(98\/588)*(-6)\/((-9)\/3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -25*r**2 - 6*r - 6. Let p(i) = -23*i**2 - 5*i - 5. Let x(u) = -5*c(u) + 6*p(u). Let b(h) = -4*h + h + h. Determine b(x(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6000\/36)\/50)\/((-1)\/(12\/2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*d - 640561 = 288*d. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.4 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - j + 1. Let r(v) = 9*v**3 - 2*v**2 - 8*v + 4. Determine 3*b(u) - r(u).\nAnswer: -3*u**3 + 2*u**2 + 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -132, -250, -354, -438, -496, -522, -510, -454?\n\"Answer: q**3 + q**2 - 128*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -67. Let h = 25 - y. Let w = -7 - h. Which is the second biggest value? (a) w (b) -3 (c) 5\/2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47 + 0.12. Let x = d + 0.15. What is the second smallest value in 3\/4, 1, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16083*h**4 + 8287*h.\nAnswer: -192996*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t)**(-23) assuming t is positive.\nAnswer: t**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60005535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-3) + 419 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269643 * 55\nAnswer: -14830365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 1, k: 2, h: 1, t: 4}. Give prob of picking 1 s, 1 k, and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 2, j: 6, a: 3, w: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 14*u = -378. Let w = 67 - u. What is the third derivative of -14*f**2 - 6*f**4 - 4*f**2 + 2*f**2 - 7*f**w wrt f?\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18437*-2605\nAnswer: -48028385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 25. Let b = x - -42. What is the least common multiple of b and (-172)\/(-14) + (-6)\/21?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (205838 + 7110*d - 205838)*(d - d - d**2)*(0 + 0 - d) as t*d**4 + h*d**2 + m*d**3 + p + n*d and give t.\nAnswer: 7110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 1:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 660*n + 4. Let k be b(-9). Let m be 32\/144 + k\/(-18). Suppose 4*v + 989 = 3*s, m = s - v - 0*v. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 4*s + 2*s + 192, 0 = 3*t + 353464*s - 353467*s - 84 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.023 - -0.033. Round g to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 18*t - 1. List the prime factors of i(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123 - 2153?\nAnswer: -2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0220572 milligrams?\nAnswer: 22057.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 12) in base 8?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3319*b**6\/15 + 2689*b**2 + 4235*b. What is the derivative of m(v) wrt v?\nAnswer: -26552*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 37. Let y(i) = 16*i + 24*i - d - 15*i. Is 15 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 116*m**3 - m**2. Does 10 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3843*p**2 + 3803 - 729*p**2 - 9495 + 6488*p**2 wrt p.\nAnswer: 19204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297.6 + -298. Let a(m) be the first derivative of -m**3 + m**2 - 2*m - 2. Let i be a(2). Sort -0.2, j, i.\nAnswer: i, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*u**3 - 157*u**3 - 23*u**3)*(-3*u + 2*u + 2*u) to l*u**3 + t*u + w*u**4 + m + d*u**2 and give w.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/8*3*(128\/(-40))\/8. Let s(d) be the second derivative of 15*d + 0 - 1\/18*d**4 - 4\/3*d**2 + 4\/9*d**o. Factor s(c).\nAnswer: -2*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 5*r**2 - 15*r - 14. Let m = 3 - -4. Let h(k) = -k**3 - 2*k**2 + 5*k + 5. Let j(y) = m*h(y) + 2*u(y). Let v = -12 - -7. Give j(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 2\/25 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10ee - -7?\nAnswer: -10e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 697884 (base 11) to base 6\nAnswer: 35431420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92936?\nAnswer: 2, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*o + 2*o, r + 15 = -5*o. Suppose r = -a + 3*v + 3, -a - 4*v = -2*v - 3. Let p be 1 + 1*-1 - -4. Sort p, a, -1 in descending order.\nAnswer: p, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - t**3 + 3*t**4 - 2*t**4)*(2 - 2 + t).\nAnswer: t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 4*t - 2. Let o be j(-5). Let l(u) = o - 1 - 1. Let r(x) = -12621 + 25239 - 12616 + 2*x**2. Determine -2*l(n) + r(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25 (b) -139 (c) -0.4 (d) 16 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, g: 2, a: 1, c: 2, k: 2}. What is prob of sequence hk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - h = -2*h + 11, -3*k + 3*h = 15. Let g be (-15)\/6*k\/3. Let n be (-50)\/(-6)*(g + -1932005). Round n to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 474 and 474 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4*q + g**4 + 31*g**3*q + 137*g**3 - 169*g**2*q - 4*g**2 + 45*q wrt g?\nAnswer: -48*g*q + 24*g + 186*q + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.47680165 from -3666769.\nAnswer: -3666769.47680165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - q + 4)*(2*q**2 - 6*q**2 + 5*q**2).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(((-3*(-2*sqrt(288) - sqrt(288)) + (0 + sqrt(288))*1)**2 - (sqrt(288) + 0 + 3)**2*-3) + -3).\nAnswer: -89064 - 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m - 4 = 0. Suppose 3*j + 215000 = -m*j. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24770.41 - -22898.2. Round w to the nearest 10.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411185 (base 12) to base 15\nAnswer: -151992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 23)*(-28)\/252. What is the closest to 2\/9 in 13, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1664\/(-130))\/(6\/10 + -1). Suppose 4*h = g - 25, 6*h - h - 2*g = -f. Is -44\/7 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 38*l**3 - l**2 - l - 2. Let g be h(4). Suppose -5*b - 4070 = 3*r, -3*b + 4*b = -4. Let v = r + g. What is v rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -54, -84, -126, -180, -246, -324?\n\"Answer: -6*i**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16789300 rounded to the nearest ten thousand?\nAnswer: -16790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104275169.\nAnswer: 3, 193, 635737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1228*s - 11. Let x be w(-10). Let z = -6367613\/519 + x. Let l = -352\/1557 - z. Is l greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -736308*c**5 - 25*c**3*h - 371306*c - 23*h wrt c.\nAnswer: -14726160*c**3 - 150*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15 = -7*a - p, 2*p - 20 = -5*a. Let c(b) be the second derivative of 0 - 1\/2*b**a + 1\/3*b**3 - b. What is the derivative of c(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-334150)\/16400 - -1*(-7)\/(-8)\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -176. Suppose r = 2*t + 5*i - 27, -i = -0*t + 2*t - 7. Is t < 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 3665?\nAnswer: -3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - (101 - 106).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 152*z - 605. Calculate t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 139.03414?\nAnswer: 556.13656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*1\/(-5). Let v(i) be the third derivative of -5\/168*i**7 + 0*i**3 - 2*i**2 - 1\/24*i**4 - 3\/32*i**6 + 0 + 0*i - j*i**5. Solve v(y) = 0 for y.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let d(r) be the third derivative of -13*r**4\/24 - 8*r**2. Calculate d(c(f)).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0471748 years in centuries?\nAnswer: 0.000471748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 4*o**6\/3 + 5*o**2\/2 - 2. What is the second derivative of w(b) wrt b?\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153860.\nAnswer: 2, 5, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238207819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 25. Suppose -2*k = -r*k + s, 0 = s - 4. Solve 5*w - k*b = -3, -w + 5*b = -4*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92487389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0*l**2 + 0 + 3\/4*l**3 + 0*l + 21\/8*l**5 + 27\/8*l**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136881152 to the power of 1\/2, to the nearest integer?\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-85) - -10*148\/(-18360).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30267886 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -0.142414.\nAnswer: -3.845178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z - 2*z + (-50 - 57*z + 50)*(3 + 0 - 1))*(3*z**2 - 5 + 6 - z**2).\nAnswer: -230*z**3 - 115*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p - 61. Let t be x(-3). Suppose -4*c + 4 + 16 = 0. Sort t, c, 3, 1 in ascending order.\nAnswer: t, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-39)*-3*6\/12. Which is the smallest value? (a) 2\/9 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(16)\/sqrt(8))**2 + -4 + sqrt(2) - sqrt(576)\/sqrt(8)) + sqrt(2)*-1*1 + (sqrt(288) - sqrt(288)*-5)**2.\nAnswer: -6*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9 - (-11 - 32)) + (4 - -5 - 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4\/3 (c) -11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 212. Let c = 181 + r. Let o = 128 - c. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/(-18)*9. Is 86\/(2 + (3 - b)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6334 or 614382\/97?\nAnswer: 614382\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 + 0 = 0, -5*l + g = -43. Suppose -2*u + l = 5*w, 0 = w - u - 3. Solve d = -w*f + 3*d + 18, -5*f = -2*d - 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**2)\/a)\/a*a**(2\/5))**(-46)*a*a**(-3)\/a*a*a*a**(-4\/9)\/a*((a\/(a*a*a**(-6)\/a*a)*a*a)\/a)\/a**6 assuming a is positive.\nAnswer: a**(-3008\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 5 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 376872679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 5, d: 3, q: 7}. What is prob of sequence aqq?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 2229*i**2 - 2229*i**2 + 3 - 2*i**3.\nAnswer: -4*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 532 and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-6)\/(-3) - -2. Let z(f) = 4*f**2 + 6*f + 8. Suppose 35 = 3*q - 67. What is the remainder when q is divided by z(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*3 + sqrt(3) + 1)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2)*1)\/(788\/(-28368))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -467*b**3*s + 60*b**3 + 2 with respect to s.\nAnswer: -467*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 5:39 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -3*b + 7*p - 374, 4*p - 6 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z + z + (6 + 3*z - 6)*(0*z + 4*z - 2*z) + 2*z**2 - z**2 - 3*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.867 - 83.667. Let p = v + 82. What is the closest to p in 0.4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100001001100?\nAnswer: -100001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-3)*270\/(-225). Is u - (-4764)\/(-1 - -7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.473048l in millilitres?\nAnswer: 7473.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 388*b - 7274. What is m(20)?\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.3 - 7.3. Let a = 30.72 - t. Let j = -0.2825 - a. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*40\/80*4\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + z + 13*z - 30*z in the form w + v*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -3*i**4\/8 + 3*i**2. Let m be g(-1). Suppose -4*q - 270 = -m*q. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 137?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let s(a) = -4*a**3 + 8*a**2 - 16*a + 12. Let v(w) = -s(w) + 12*x(w). What is l in v(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let q(c) be the first derivative of 5*c**3\/6 + 43*c + 2. Let f(v) be the first derivative of q(v). What is k(f(o))?\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Let f = -75 - -73. Let h be i(f). Is h at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*-2*-1)\/(sqrt(3)*-4*-1*-1).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 240336 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3411 + -1410?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 1. Let l(o) = o + o**3 - 3 - 3 - 2*o - 3*o. Let n(i) = 2*i. Let x be n(2). What is x*d(s) + l(s)?\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (265\/(-20))\/((-2)\/8) - -1. Let s = -54 + v. Suppose k - 3*r + s*r - 77 = 0, 5*k - 3*r = 373. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 31*t**2 - 105*t - 54. Calculate the smallest common multiple of 246 and b(-34).\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2\/13, 1, 4\/155, 0.5, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*y**2 + 283*y wrt y.\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.069? (a) -22 (b) -6 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Suppose 2*b = -0*b - n. Is 12 a factor of -48*b\/(-2 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**2 + 34 + 11\/3*i**3 + 0*i. Let r(p) = 4*p. Determine r(g(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -2*n**5\/15 - 58*n**2 + n. Let s(m) = -15*m**2. Give s(c(i)).\nAnswer: -960*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:43 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1)*l)**18)**(1\/14) assuming l is positive.\nAnswer: l**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/5, 2\/5, 0.1, 22\/309?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:51 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28353 divided by 13?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403*o**2 + 2*o - o - 327*o**2 - 1 - 6*o + o to the form b*o**2 + m + l*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14930 > -14930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3a27 (base 12) to base 15\nAnswer: -1e8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599 + 0*g + 3204 - 1605 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10843\/2 + 5600. Let q = -187 + l. Let h = 2159 + -13003\/6. Find the common denominator of h and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82726, 82676, 82640, 82624, 82634, 82676, 82756, 82880?\n\"Answer: k**3 + k**2 - 60*k + 82784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let i(v) = 41*v + 34*v - 74*v. Calculate x(i(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -56165*k - 5. Let b(g) = -96*g. Give b(d(t)).\nAnswer: 5391840*t + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90eaf2 (base 16) to base 13.\nAnswer: 1c76b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -1. Let f = -7009 - -28037\/4. What is the fourth smallest value in l, 0.2, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6906 is divided by 1065?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678801 is divided by 1169666?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357690?\nAnswer: 2, 3, 5, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 + 1819*v**2 + 1686*v**2 - 3*v**3 - 7*v**3.\nAnswer: -25*v**3 + 3505*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.5633375 to 1 decimal place.\nAnswer: 41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -141977, 5, 10 in descending order.\nAnswer: 10, 5, -1, -141977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 571?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 11972?\nAnswer: -11974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 6504276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -13*h + 6*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120959 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-5)*l)\/l*l*l)\/(l\/l**35))**32)**23)**(1\/2) assuming l is positive.\nAnswer: l**11408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (3 - 2 - 3)*(1 + 2 - 1))*(103*p - p - 3*p).\nAnswer: -198*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**2 + 0 - 2*y + 0*y**6 + 0*y**4 + 2\/3*y**3 - 1\/14*y**7 + 0*y**5. What is the second derivative of t(s) wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**8\/6720 + n**7\/360 + n**6\/90 + 7*n**5\/120 - n**4\/8 - 14*n**2. Let z(k) be the second derivative of j(k). Determine z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 510*y**3 + 545*y**2 + 3090*y.\nAnswer: -5*y*(y - 3)*(y + 2)*(y + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/375)\/(15\/100). Which is the smallest value? (a) f (b) -2\/87 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/83 smaller than 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdpd when four letters picked without replacement from qqqampdqqdd.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*8\/((-24)\/135). Let q be (g\/(-10))\/((-1)\/2). Let x(n) = -n**2 - 10*n - 8. Let z be x(q). Solve 0 = j - z, -18 = -5*w + 5*j + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -38. Let c be (w + 9)\/(12\/44). Calculate the greatest common factor of c and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44428633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(-71*y**3 - 14*y - 46*y**3 - 63*y**3) to the form q + x*y + v*y**2 + b*y**3 and give b.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249672472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -241603 bigger than -241602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from susssuoossssosuuss. What is prob of sequence uoos?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656222 divided by -1.\nAnswer: 656222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2*sqrt(5929)*4 - sqrt(5929)) + sqrt(5929)))\/(((1*sqrt(14) + sqrt(14))*5)\/(sqrt(8)*4)).\nAnswer: -1056*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132348475?\nAnswer: 5, 79, 573341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000328007084 to six decimal places.\nAnswer: 0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19358 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*v + 150 = 30, 4*v = 4*l - 96. Let s be 2\/(-6)*(-80 - 1). Let i be (s\/2)\/(6\/12). Is l smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 28. Let v be -9 - -9 - z*-2. Solve -v*w + 4*w = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/720 + f**5\/60 + 29*f**4\/24 - 5*f**2. Let t(c) be the second derivative of i(c). What is t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00261 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 3\/(-3))*18\/(-78).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -124, -100, -56, 14, 116, 256, 440?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39361*r - 39351*r + 50 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a + 3 = 5*j + 78*a, 8 = 2*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from htht?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*d - 30, -5*a + 18 = 3*d - 12. Let p(v) = 2*v**3 - 4*v**2 + 2*v + 7. Is p(a) 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 8:45 AM and 2:27 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 4*r + 4*r)*(6 + 3*r - 6) + 61928*r - 333*r**2 - 61923*r + 24*r**2 + 2 to t + o*r**2 + c*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*10\/5)\/(14\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**9\/378 - s**6\/90 + s**3 + 14*s**2. Let n(q) be the first derivative of i(q). What is the third derivative of n(y) wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*g = w - 38, -w - g + 26 = 0. What is the tens digit of ((-25)\/2 + (-11)\/w)*-25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37855 = 5*c - 43145. Round c to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5280 + 5274 = 2*q, -x + 11 = -5*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455558 (base 9) to base 4.\nAnswer: 1002223100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/26 + 4\/65. Let d(y) be the second derivative of 1\/3*y**3 - o*y**5 + 0*y**2 + 0*y**4 + 0 - 2*y. What is the second derivative of d(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(2\/(-3))\/((-1)\/3). Let c(u) = u**3 - 5*u**2 + 2*u + 2. Let k be c(3). Let b = w - k. Solve b*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50508.24 millilitres to litres.\nAnswer: 50.50824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/20). Let a(q) = -q - 17. Let h(v) = 19*v**3 + 1. Let m be h(-1). Let k be a(m). Sort -1, l, k in descending order.\nAnswer: l, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -3*w + 2, 2*w = 2*u + 4. Let j = w + 0. Suppose j*n = n + 50000. Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758143 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((80 - (-7 - 23)) + -29).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:42 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/272)\/((-5)\/(-2))*(0 - 35).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 s, and 1 q when three letters picked without replacement from qaqaqgaasrsqqrqrrq?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 460 = -4*b, 10*b - 343 = 7*b - x. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/7 + 340*a\/7 + 414 = 0. Calculate a.\nAnswer: -161, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8353 - 66723\/8. Find the common denominator of -39\/272 and u.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = c - 28. Is ((-3770)\/(-45) - c) + (-4)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -23\/8 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69808.0000048 - 69807. Let b = 1 - o. What is b rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.461 rounded to 2 decimal places?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -15. Suppose -o = -i - 0. Suppose -r + 72 = 2*b, o*r - 264 = -b + 78. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569 is divided by 258?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 163.\nAnswer: -163.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-200)\/(-63) - 4\/14. Let n = 11\/18 + t. Calculate the common denominator of 71\/2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 7:06 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3797501 to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 6*p + p**2 + 6*p**2 + 5*p**2. Let i be l(-4). Suppose d = 5*d - i. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*p. Let n(k) = -2*k**2 + 18*k - 24. Let l be n(7). Suppose 6 + l = p*v. Solve -s = -0*r - 3*r - v, 3*r = -4*s - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12071, -48308, -108723, -193316, -302087, -435036, -592163?\n\"Answer: -12089*z**2 + 30*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 30. Let j be n(0). Let g be 6\/45*-3*j. Let k(u) = -u**2 + 11*u + 5. Let i be k(g). Let w(d) = -d**3 - 6*d**2 + 8*d + 3. Calculate w(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/57 (b) -1\/4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 + -7 - (1 - -2). Let v = -5 - -8. Find the third derivative of -2*k**2 - 3*k**5 - v*k**t + k**5 + k**2 wrt k.\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 17*k**2 + 3*k + 151. Let c be z(-17). What is the greatest common divisor of 340 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**3 - 2*a**3 + 3*a - 2*a**3 - a**2)*(-7*a + 0*a + 0*a) to f + r*a + b*a**2 + s*a**4 + t*a**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 31. Let c = -0.58 + j. Let o = -1.58 - c. Put 0.1, o, 3, 2 in descending order.\nAnswer: 3, 2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/103602 and 55\/372.\nAnswer: 207204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -154, 5 in decreasing order.\nAnswer: 5, 0, -1, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:55 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26239, 26238, 26235, 26230, 26223?\n\"Answer: -k**2 + 2*k + 26238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-14))\/((-1519)\/343). Let p = -1 - -1. What is the closest to p in z, -0.4, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.7 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*h + 1, 98 = -33*h - 2*m - 79 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1658*q**2 + 12*q + 583. Let a(n) = 1657*n**2 + 15*n + 583. Let o(j) = -3*a(j) + 4*s(j). Find the second derivative of o(t) wrt t.\nAnswer: 3322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 104, 209, 350, 527, 740?\n\"Answer: 18*h**2 + 15*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6485*l + 265902. Give t(41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20203 - 405?\nAnswer: 1cacb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.39083 rounded to 2 decimal places?\nAnswer: -10.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(5 - (-58770)\/(-11765)). Let t = z - 428. Which is smaller: t or -0.09?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i**2 - 1)*(6 + 0*i - 4 - 5*i).\nAnswer: 10*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**4 - 5*m**3 - 31*m**2 + 5. Let u(q) = 3*q**4 + 4*q**3 + 30*q**2 - 4. Let h(g) = 4*n(g) + 5*u(g). Find the third derivative of h(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 635, 2588, 5853, 10424, 16295, 23460, 31913?\n\"Answer: -f**3 + 662*f**2 - 26*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a1843 (base 13) to base 7.\nAnswer: -21040065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 0*i + 3*i**2 + 2 - 6*i. Let j = -55 - -58. List the prime factors of t(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8405876 - 0?\nAnswer: -8405876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5\/2 + 25875*s**4\/2 + 27877071*s**3 - 83721798*s**2 + 55831788*s = 0 for s.\nAnswer: -4314, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let a(f) = -4*f - 24. Let i be a(-7). Suppose -5*x = -25, -5*x = -i*g - 3*x - 10. Solve -4*d - c*q - 8 = g, 0 = -2*q - 3*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1718 - -1.1718. Which is the closest to 4? (a) 5 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l. Suppose -v + 140 = 2*v + 5*w, l = 2*v + 2*w - 92. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y - 808 + 1610 - 806 to the form n + i*y and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -773 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -2, 791 in ascending order.\nAnswer: -4, -2, 6, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -780 by 3.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 863960 and 208?\nAnswer: 22462960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = 44. Suppose 0 = h - 36 + 15. Let i = h + u. Is 8 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463243037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*p - 427. Let m be (14\/4)\/(6\/p). Let y = m - 35. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -10222*f + 10229*f + 13, -3*f + 5*r + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198c12 (base 15) in base 16?\nAnswer: 12fe2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803629?\nAnswer: 803629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-2))\/(9 + 630\/(-80) + 3\/(-8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 176 - 30 + 258)*(-1 + 1 + 2*o) + 3 - 3 + 4*o to l + f*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1.37 in descending order.\nAnswer: 3, -1.37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958195139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 26. Let g be 1\/(2\/(-332)*2). Let p = -419\/5 - g. What is the second smallest value in i, p, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11 + (-483)\/4554 and 137\/444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 4, e: 2, h: 2, m: 2, z: 1}. Give prob of picking 2 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -16. Suppose 0 = -3*k - 5*u + u - 93, 4*k + l*u = -124. Is -31 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/10*(-15)\/(-6). Solve 4*x = -2*y - 8 - z, -16 = 4*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from rbbr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 680412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126096*d**2 - 126096*d**2 + 11*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*b**3*p**2 + b**3*p + 18*b**3 wrt p.\nAnswer: -180*b**3*p + b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/20 - w**4\/4 + w**3 + w**2\/2 + 35*w - 100. Let v(h) be the first derivative of x(h). Give v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 10. Suppose -4*i - 1 = -3*o, -47 = -i - 4*o - 71. Let c(s) = -s + 9. Calculate i*n(k) + 5*c(k).\nAnswer: 3*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/2 - 46*s. Let q(i) = i + 3. Give q(o(k)).\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose 0 = 2*p + 5*u - 28, 2*p + 2*p - 20 = -u. Suppose -8*j = 47 - 63. Solve -3*i + j*l - 16 = 0, -z*l + 26 = -9*i + p*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (86\/(-175) + 68\/(-850)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.38 (b) -41 (c) -2 (d) -1\/2 (e) -0.1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = s + 3*y, 0 = 5*s + y - 0*y - 245. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2\/2 - 310070*l - 9614340490 = 0. Calculate l.\nAnswer: -62014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16*u - 44 = -20*u - 48, -c + 4 = -2*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254659 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1145075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/30 and 91\/9340.\nAnswer: 28020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 - -15 - 3*-3. Solve 3*f = 3*s - s + 4, 5*f = 2*s + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135560 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(1584)*2)**2) + (((sqrt(99) - sqrt(99)*1)\/sqrt(9))**2 - sqrt(11)).\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 839813171 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 3, i: 4}. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2)*(-30)\/(-56). Is -3 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2483 and 429559.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*k + 499 + 1932, -4*k = o - 3273. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -2259, -5530, -10079?\nAnswer: -15906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451609 is divided by 451434.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (120\/(-4))\/(3\/(-2)). Let x = -14 + q. Suppose -2*u + 2 = -4*a + x, -3*a - 5*u = -16. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.77, 0.2, 2, -4 in ascending order.\nAnswer: -4, -0.77, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 97832 - 90560 + w**2 in the form a*w**2 + h*w + n and give n.\nAnswer: 7272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 11*f**4\/12 + f**3\/3 - f**2\/2 - f. Let q be u(1). Suppose 72 = 3*m - 0*m. What is the highest common factor of q and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7467 or 1\/9?\nAnswer: -7467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 8*r + 2. Suppose 0*k = k - 9. Let h be v(k). Calculate the highest common divisor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 6255\nAnswer: 12510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Let x = 5 - c. Put -2, 3, x in descending order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, -1\/14, 0 in ascending order.\nAnswer: -1\/14, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-4 + sqrt(15)\/sqrt(3) + sqrt(5))*-5.\nAnswer: -125 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*i**3 - 833*i**3 + 280*i**3.\nAnswer: -871*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2059685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -349603, -699251, -1048899, -1398547?\n\"Answer: -349648*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from {f: 3, a: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 3.8. Let i(w) = w + 11. Let p be i(-9). Suppose 0 = -0*y - p*y + 8. Which is the third biggest value? (a) y (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, -3, -29, -71, -135, -227?\n\"Answer: -r**3 + r**2 - 12*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by 28\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/24864 and 83\/560.\nAnswer: 124320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/((s*s**(-1\/10))\/s*s))\/(s*s*s**(-1\/2)*s**(-1\/3)) assuming s is positive.\nAnswer: s**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 16. Suppose 2779 = 3*g - 4*k, -8*k - a = -4*k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*g**4 + 2*g**4 - g**4).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63446 smaller than 67845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 817? (a) 1\/6 (b) 2\/17 (c) -1\/3 (d) -5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53217671 a multiple of 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(136) + sqrt(136)*-6))\/(sqrt(648)*-2 + sqrt(8)).\nAnswer: -150*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7737490313?\nAnswer: 7, 17, 65020927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40863 times 15\nAnswer: -612945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 12. Let q be b(-8). What is the second derivative of 0*a**2 + 3*a - 3*a**2 - q*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*a - 143*a = -22390782. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/24 - 147\/140.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265299 by 1389.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**2 - 20*v**2 + 11 - 11*v**2 - 10*v**2 - 10*v + 52*v**2.\nAnswer: -(v - 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221020 - -1?\nAnswer: 1221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.756 - -3.156. Let p = -5 - -7. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27644, -55300, -82968, -110654, -138364, -166104, -193880, -221698?\n\"Answer: -m**3 - 27649*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**2 + 12*k - 29\/12*k**4 - 1\/3*k**3 - 1. Let y(o) = 2*o. Calculate d(y(b)).\nAnswer: -116*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-45) - 2\/5. Let b = -13 + 13.3. Put o, b, 0.2 in ascending order.\nAnswer: o, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 + 30088?\nAnswer: 30180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f = -24*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3\/3 + 22. Factor q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 8?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**4 + 25*z**3 - 107*z**2 + 146*z - 61. Let u(t) = -6*t**4 - 24*t**3 + 106*t**2 - 144*t + 60. Let i(y) = -4*n(y) - 5*u(y). Factor i(d).\nAnswer: 2*(d - 2)*(d - 1)**2*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36153 and 4.401?\nAnswer: 36157.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {e: 4, s: 5, v: 2}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 15 = -5*s. Let v be 1 + 2\/(-2) - s. Suppose -8*j - 3*q = -3*j - 235, -188 = -4*j - v*q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 84 (c) 1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 436, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**2 - 2*n**2 + (n**2 + 2*n - 2*n)*(44 + 36 - 139) + 4*n**2 + n**2 - 6*n**2.\nAnswer: -61*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) - 2\/12*-2. Let f(k) be the first derivative of u*k**2 + 1\/3*k**3 - 4 + 0*k. Let y(b) = -4*b**2. Give y(f(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + (-1019 - -1045).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 36\/5 (b) -0.518 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose -4 = 11*l - 13*l. Let j = 5 + -3. Solve -j*r - 8 = 0, -l*r - 16 = -v*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9814*t + 581 - 294 - 287.\nAnswer: -9814*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35343 + 76*g - 35343 to the form x + v*g and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3458*-1.1.\nAnswer: 3803.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = -4*g - 5*d, d - 14 = 4*g. Let f be 2\/(g\/(45\/(-2))). Let s be 95 - (-5)\/(f\/(-9)). What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*c - 82, -5*k + 0*c = 5*c + 75. Let y be (-44)\/k + 10\/(-5). Factor 3\/4*x**2 + 3\/4*x + 0 - 3\/4*x**4 - y*x**3.\nAnswer: -3*x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let s(p) = 335595*p. Give s(l(m)).\nAnswer: 671190*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -b477 (base 12) in base 10?\nAnswer: -19675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 15.2. Let c = 16.8 - v. Let d = c + -15.5. Put d, -3\/5, 4 in ascending order.\nAnswer: -3\/5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w + 3. What is the remainder when i(8) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25526173\/4815706 - -2609\/22556. Let d = v + 1\/2562. Calculate the common denominator of 63\/2 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -6 + (4 - (6 - 37 - 0))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -800 by 80.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413909658 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j + 5*j - 48. Solve -3*t = j*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - 1*6. Let c(f) = f**3 - 20*f**2 + f - 23. Suppose 6*k - 93 = 27. Let x be c(k). Put x, n, -1 in ascending order.\nAnswer: n, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jghhgggjgjhjg. What is prob of picking 2 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((1\/10)\/1)\/((-48)\/40))\/(1166\/(-583)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 281501.82 months in decades?\nAnswer: 2345.8485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662126783.\nAnswer: 23, 2753, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.33303 microseconds in hours?\nAnswer: 0.000000141759175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose 0 = 5*g + 1 - 61. Let i be 64\/g + 2\/(-6). Which is the nearest to y? (a) i (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3341648 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 - 62*v + 61. Let w be u(1). Solve -3*q + 5*q = 3*j - 18, q = -3*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.67 times -0.0117\nAnswer: 0.007839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -668*h + 12066. What is c(18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + a**2 - 9*a**3 + 7165003*a - a**4 + 7 - 7165013*a to the form f + r*a**2 + y*a**3 + m*a + d*a**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11740 by -5870.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-5)*(-10)\/4. Let t(z) = -2*z**3 + z**3 - 3*z**2 + z**2 - 3 - 4*z - 2*z**2. What is t(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a factor of 874344617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - 2. Let j = -5 - -14. Does t = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**2 - 37*c**2 - 81*c**2 - c**2 to the form d*c**2 + a + u*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15553 - 15548. Solve 2*p - 5*n + 6 = 0, 5*p - 12 = -6*n + l*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54730314.\nAnswer: 2, 3, 31, 43, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a - 312*a - 252*a)*(0 + 0 - a).\nAnswer: 552*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/5 + (-2)\/10. Let c(x) = 8 + x**v - x - 2 - 6*x**2 + 2. Let a be c(6). Solve -a*f + f + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 19. Let s(b) = b + 13. Let t be s(5). Let n be a(t). Let h = n + -69. What is the remainder when h is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245705269 - -828?\nAnswer: 245706097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/(o\/o**0))\/o*o)\/o*((o*o*o*o**(2\/27)*o)\/o)\/o)**(-3))**(6\/23) assuming o is positive.\nAnswer: o**(-112\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 12 + 3*a**2 - 8)*((a - a + 2*a)*(3*a**2 + 0*a**2 - 7*a**2) - 2*a**3 - 5*a**3 + 5*a**3 - 2*a**3 + 5*a**3 - 2*a**3).\nAnswer: -9*a**5 + 180*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-10))\/(3\/15). Let v(k) be the third derivative of -k**4\/24 + 11*k**3\/6 + 21*k**2. Calculate v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let q = -165 - -36. Let v = q - -128.74. Is v bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834\/143 + 4\/22?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4 + 85*b + 80*b - 173*b. Let u(r) = -53*r - 37. Let m(t) = 27*t + 20. Let n(g) = -5*m(g) - 3*u(g). What is -11*a(v) - 4*n(v)?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 12*z + 5. Let y be h(11). Let x = y - -14. Suppose -32 = -2*j - 0. What is the smallest common multiple of x and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:52 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -21. Suppose -2 = m, -n = -3*o + 3*m + 2*m. Which is the nearest to -1? (a) 3\/4 (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -4.1\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Let d = -2 + t. Suppose -k = -d*k - 3. Solve -g - k = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = -80 - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -788, -4231, -10414, -19343, -31024, -45463, -62666, -82639?\n\"Answer: -a**3 - 1364*a**2 + 656*a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -124\/5 - 24*d - 27\/5*d**2 + 1\/5*d**3.\nAnswer: (d - 31)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70479 or -70506?\nAnswer: -70479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:14 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t = -0*t + 8, 27*r - 22*r - 129 = -6*t for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -30. Solve 0 = -2*o + 4*n + l, 4 = -8*n + 4*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -3*a - 23, -3*a - 3 = 0. Suppose 4*x + 12 = 4*f - 8*f, x + t = 0. Solve 2*k + 24 = y + 6*k, 3*y - 22 = -f*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -147\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25564515 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25\/4, 0.5, -2, -2\/7, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g - 3*g + 3*g)*(22 + 24 - 13) in the form d + q*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from rrsrlsymmlum.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -ea8 (base 15) to base 8\nAnswer: -6354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -40. Let h = r - 15. Suppose -f + 3 = -h, -c + 23 = 5*f. Solve 2*k + 0*k = 2, -c*k - 2 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 255*a**2 - 86*a - 21932. Determine i(-255).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f*k**3 + 1149*f + 6391*k**3 - 16*k wrt k?\nAnswer: 30*f*k + 38346*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*h + 457551, 3*l + 2*h = -263077 - 1109556. Let f = l - -237543. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let i be u(2). Solve 6*x - 16 = -i*l + 2*x, 4*l + x - 19 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1372699 and 17.\nAnswer: 1372699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 23*p**3\/4 - 15*p**2 - p + 20.\nAnswer: -(p - 20)*(p - 2)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*f**3 + 2\/3 - 2*f + 11\/6*f**2.\nAnswer: -(f - 2)*(f - 1)*(3*f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13436, -5, 9 in ascending order.\nAnswer: -5, 9, 13436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 + 10*s**2 + 5*s. Let x(u) = -3*u**3 - 9*u**2 - 4*u + 1. Let r(m) = -4*n(m) - 5*x(m). Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 2*t)*(7*t**2 - t**2 + 8*t**4 - 6*t**4).\nAnswer: 2*t**5 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22.51 and -0.08.\nAnswer: 22.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14\/3, 11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = -5*c, 0 = 5*n - c + 80 - 17. Let q be 45\/12 + (-3)\/n. Solve 4 = -4*h - 3*j, -2*j - 6 - q = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**2\/2 + 4*c + 2. Let x(v) = -15 - 3*v - 6 + v + 25. Calculate 4*x(h) - 3*y(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -5, 1, 7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -3223a2?\nAnswer: 3223a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1026?\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 48*d + 111. Let t(j) = -7*j - 16. Let b(q) = -27*t(q) - 4*v(q). Let g be b(-6). Suppose g*k - k = 120. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -121, 0, 1, -3484, 4 in increasing order.\nAnswer: -3484, -121, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 91108*n + 3637920.\nAnswer: 4*(n - 22737)*(n - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - z**2 + 1718. Let d be q(0). Let p = 987 + d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-913)\/(-332)*(28 - 0). What is the third smallest value in 2\/3, -0.3, -1, -1\/33, r?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*g + 20, 5*g + 15 = 3*s + 3*g. Let c = -1 + -3. What is the remainder when s is divided by c\/6 - (-8)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00118072 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 + 5*z + 8. Let f be g(6). Let i(t) = -t**3 - 2*t**2 + 3*t - 5. Let k be i(-4). Solve k = d + f*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 3*n + 4*n + (-4 + 2 + 1)*(2 + 2*n - 2) + n + 3*n - 5*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1646477 divided by 15\nAnswer: -1646477\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i. Suppose i*q + 88 = -4*q. Let j = -17 - q. What is the closest to 0.1 in 2\/15, j, 2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 + 6*j**2 + 12. Find the second derivative of d(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(95)\/sqrt(5) + -1)**2.\nAnswer: -2*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + 10*t + 10. Let q be x(6). Let k = 6 + q. Suppose 0*a**3 + 0*a - 2\/13*a**2 + 2\/13*a**k + 0 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(19)) + sqrt(19) + -4 + sqrt(76) + -1 - (-2*sqrt(209)*1)\/(-2*sqrt(704)))**2.\nAnswer: 81*sqrt(19)\/4 + 6723\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -6)*(3 + -8). Let i(j) = -2*j**2 - a*j**2 + 3*j**2. Let o(h) = 7*h**2. Give o(i(x)).\nAnswer: 112*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 6. Let y be z(-7). Let n be ((414 - y)*-1)\/(-1). Let r = n - 1589\/4. Calculate the common denominator of r and 67\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((2*sqrt(891) - sqrt(891)) + 0)*-5*6 - ((sqrt(891)*-2*2)**2 + -1)*3).\nAnswer: -42767 - 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29001, 116035, 261091, 464169?\nAnswer: 725269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/4))\/(j\/(j*j*j*j**(-1)*j*j)*j))\/(j*j**(-7)*j**1*j))\/((j\/j**2*j*j*j*j*j*j**(-2\/3)*j*j)\/(j**1)**(3\/7)) assuming j is positive.\nAnswer: j**(155\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 46 = -9. Suppose a + 2*g = j*g + 1146, 5*a - 5*g = 5760. What are the prime factors of a?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -2*k. Let t(v) = v**2 + 5*v - 3. Let r be t(k). Suppose -3*c + 4*m + 269 = 0, r*c - m = 185 + 96. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4194.922 weeks?\nAnswer: 2537088825.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9550310 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-231)\/(-14)*6\/(-9). Let l(h) = 2*h**2 + 16*h + 12. What is the tens digit of l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1\/(12\/8)). Let u(a) = -2*a - 1. What is u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 271. Give x(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, -0.031, 14 in descending order.\nAnswer: 374, 14, -0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = 4*m. Let t = -5 + 8. Sort -4, t, m in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/126). Suppose 0 = 82*s - 85*s - j. Let k be s\/18 + 1 - (-788399992)\/36. Round k to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 3*z**2 - 5*z - 11. Give k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(228)\/sqrt(4))\/(sqrt(192)*-1 - sqrt(3)).\nAnswer: -5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/10, 0.3 in ascending order.\nAnswer: -0.4, 1\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -9732\/7 (c) -2\/7 (d) 2\/269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1466 = -3*w, 3*n + 1451 = 3*w + 2*n. What are the prime factors of w?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*u**4 + 5*k*u*v + 7*k*v + u**4 + 41*u**3*v - u*v + 2*u wrt u?\nAnswer: -12*k*u**2 + 12*u**2 + 246*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6 - 8 + 0 - 12*t. Calculate the remainder when -2 + (-2)\/2*-29 is divided by i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49242041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 4 (b) 2\/9 (c) -0.03 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 114014?\nAnswer: 2394294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 484982.8 decades in years?\nAnswer: 4849828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 8*a**2 - 14*a - 2. Suppose q + 2 + 4 = 0. What is the remainder when 27 is divided by y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/2 + 7*t**5\/12 - t**2 - 6. What is the third derivative of d(l) wrt l?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-2))\/(5\/(-10)). Let c be (27\/i)\/(3\/(-4)). Suppose 3\/4*j**2 + 3\/4*j - 3\/4*j**3 - c = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/12 + 5*d**4\/6 - 144*d**2. What is n in h(n) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:47 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 + 511\/(-657). Is s at least as big as 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcaimpxm. Give prob of sequence cpi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 17. Solve p*x = -0*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*t - 9. Suppose l + 338 = 6*l + 4*h, -3*l + 194 = -t*h. Suppose 5*r - 8*r + l = 0. What is the remainder when 86 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*b - b. Let o be 5\/(-2) + b + -1. What is the nearest to 2\/5 in 3\/5, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -792935415 + -0.1?\nAnswer: -792935415.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 18474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103610 by -10361.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijititti. What is prob of picking 2 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/((42\/(-30))\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 8 - 5*x + 0*x + 9*x + 0*x to the form y + m*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15890073.\nAnswer: 3, 31, 61, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 40 + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8582 and 112?\nAnswer: 68656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 3, r: 9, i: 4}. What is prob of sequence ed?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44220287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 3*x - 3. Let w(g) = -2*g**2 + 153*g + 6152. Calculate the least common multiple of o(4) and w(-29).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - 36. Suppose -4*n - 4*d = -d + 43, 0 = -3*n - d - k. Do n and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (76\/2)\/((-16)\/(-8)). What is the highest common divisor of 76 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 5390.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jto. Give prob of picking 1 t and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15579*t + 93444. What is z(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1607411 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/270 and -95\/144?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 141. Suppose 0 = k*b - 15099 + 2249. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-21 + 57 + 19)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*c + n - 23, 2*c - 4*n - 10 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44002*g**2*h + 292457*g**2 with respect to h.\nAnswer: -44002*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 4 - (-42)\/24)*-14708.\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 58. Suppose 2*l - 163 = f. Suppose -l = -4*o - 0*o. Calculate the remainder when 161 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 2\/3 (c) 0.06798 (d) 1\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 - 3*f. Let c(w) = -29*w. What is c(l(r))?\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Differentiate 0*v**2 - 4*v**2 + 2*v**l + 5 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536 divided by -287964.\nAnswer: -128\/23997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 578825.7 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -58.076. Let l = m + -0.276. Which is smaller: 0.09 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 3*d - 12. Let k(c) = 2*c**3 - 2*c - 11. Give 3*k(z) - 2*t(z).\nAnswer: 2*z**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2499537533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 218, 126, -8?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (336\/(-2352))\/(4\/385)?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -794, -1836, -2882, -3932, -4986, -6044, -7106?\nAnswer: -8172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 13*z - 2. Let o(k) = k**3 + 1. What is -2*o(w) - v(w)?\nAnswer: -w**3 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from ppbphdhhph.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(84\/(-35))\/(18\/(-80)). Let t = -27 + g. What is the first derivative of -10 + 22 + t*r**4 + 2 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.31 take away -0.08?\nAnswer: -78.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.39 (b) -0.03 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/29 + -1\/145. Put -0.4, -2, j in decreasing order.\nAnswer: j, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 + 7983*g\/7 + 15954\/7.\nAnswer: 3*(g + 2)*(g + 2659)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12614559 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yalaaxlllay. What is prob of sequence ya?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 3\/47, 6, -0.5 in ascending order.\nAnswer: -0.5, 3\/47, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-11))\/(2086\/(-77) - -27). Sort 1, 21, z.\nAnswer: 1, z, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109230 * 0.7.\nAnswer: -76461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.2 + -284.8. Let c = 6347196.99654 + -6347540. Let q = c - l. Round q to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208020272.4 to the nearest one million.\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18213.\nAnswer: 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-7 - (-204)\/20).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let i(c) = 4*c + 52. Let t(y) = 2*y + 23. Let z(x) = -4*i(x) + 9*t(x). Determine -3*b(k) + 4*z(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457760.\nAnswer: 2, 3, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601 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: Divide 469 by 38644.\nAnswer: 469\/38644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 1322*w**2 - 991*w - 435947. What is z(1321)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2859.1 + 2859. Let s = -4.96 - 0.04. Let y = -0.04 + 4.04. What is the closest to 0 in s, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 4}. What is prob of sequence ffj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 237*b - 82. Let n(j) = -2134*j + 737. Let i(y) = -6*n(y) - 55*x(y). Let d(t) = 8*t - 3. What is 88*d(k) + 3*i(k)?\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.7 in 3, -0.06, 2, 0.07, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8088 rounded to 2 decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuuuuuuunnnuuu. Give prob of picking 1 u and 2 n.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 10*b**2 - 10*b - 9. Let t be z(-9). Suppose t = 4*d - 469 + 2613. Let j = -380 - d. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 81 + z**3 + 81 - 18*z**2 - 108 - 5*z**2 + 28*z. Is i(22) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100463551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.034934871725 and -4.\nAnswer: -3.965065128275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 721109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, t: 2, a: 5, v: 4, w: 3}. What is prob of sequence vwlv?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83187617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 286. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/((-87465)\/4900))\/((-1)\/(-1)).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-90)*21\/(-14)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-19)\/38)\/(1\/(-74))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1060686 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6*b**2 - 2 + 10)*(-b**2 - 2*b**2 + 7*b**2).\nAnswer: 24*b**4 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/2 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851993867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 4, -6 in decreasing order.\nAnswer: 5, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8852*-1745.\nAnswer: 15446740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i + 1. Let w(o) = -7*o**2 + o + 3. Determine -w(r) + 3*z(r).\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(2 - 1)*0. Let k = 4.2 + -3.8. What is the closest to p in k, -1, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + a = -5, 2*a = i + 4*a + 3. Let z be (4\/(-27))\/(40\/24 - i). Do -1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 314 - 306. Suppose -2*l - 186 = -z*l. Solve -29 + l = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94970.\nAnswer: 2, 5, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1830, -5, -1, 2 in ascending order.\nAnswer: -5, -1, 2, 3, 1830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*t**2 + 31*t**2 + 5*t - 5*t as i + u*t + l*t**2 and give l.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l*l*l*(l*l\/l**(-4\/9)*l*l)\/l))\/l)\/l)**46 assuming l is positive.\nAnswer: l**(-2668\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86934.41 millilitres in litres?\nAnswer: 86.93441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16275)\/140*(-10)\/2313. Let f = o - 2\/771. Is f less than 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -254*q**2 - 2*q + 2452. Let d(h) = -10. Let p(n) = -d(n) + r(n). Differentiate p(u) with respect to u.\nAnswer: -508*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667*g + 85 = -1787*g - 35 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(6\/17)\/n)\/n)\/n**(-26\/3) assuming n is positive.\nAnswer: n**(409\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 1. Let v(y) be the first derivative of -y + 0*y**2 - 1\/3*y**3 + 3. What is g(n) - 2*v(n)?\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/82 - 51\/2542. Let x = -272 - -272. Is x not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -16 (d) -10.7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 27*m + 4. Let l be g(0). Suppose 2*y + 2 = 0, 3*v - l*y + 16 = 26. What is the highest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 1372, 4560, 10770, 21010, 36288, 57612, 85990?\nAnswer: 122430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:55 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 2}. Give prob of sequence fz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2. Let k(r) = 24*r + 22*r - 15*r**2 + 9*r - 11*r. Give k(t(v)).\nAnswer: -15*v**4 - 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-16 - -18 - (-2 + -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6033322 + -2863743. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403 + 188. Is d*((-6)\/(-10) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -2430673074.\nAnswer: -2430673074.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 6. Let v(l) = 198*l - 6 - 68*l + 22 - 63*l - 64*l. Let g(q) = -5*p(q) + 2*v(q). Give g(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 at most as big as 3766\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 2000?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/9529 - -695607\/95290. Let w = 347\/40 - 19\/5. Find the common denominator of w and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4048491508?\nAnswer: 2, 1012122877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - z - 3*z + 1 + (3 - 2 + 0)*(5*z + 2*z - 4*z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from dwnnddndw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.07. Let c = -109891 - -109891.4. Let p = 2.94 + 0.06. What is the closest to 0.02 in p, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/4)*h\/h**(-21)*h\/(h\/(h\/(h\/((h*h*h**(1\/5)*h*h*h)\/h)*h)))*h**21 assuming h is positive.\nAnswer: h**(939\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3\/3 + 3*m**2\/2 - 11. Suppose k(q) = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 4*u + 4*u**3 + (-3*u - u + 2*u)*(0 + u**2 + 0) + 3*u**3 - 4*u**2 + 3*u**3 - 4*u**3.\nAnswer: 4*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630107.\nAnswer: 3, 23, 67103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -103375\/14 at least -7383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 29*n - 138. Let b be d(22). Solve b*h - 86 = -54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -227. Let b be -4 - ((-6)\/(-16))\/((-12)\/k). Let l = -0.04 - -0.54. What is the closest to l in b, -1\/6, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -21, 19, 109, 267?\n\"Answer: 3*o**3 - 2*o**2 - 7*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/(-8))\/((-99)\/198)*4\/6*-1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 9*o**2\/2 - 2*o + 800. Let b(k) = -9*k + 2. Give 7*b(c) + 6*u(c).\nAnswer: -9*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -47156.\nAnswer: 1\/47156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7 - 8. Suppose 12 = -g - 5*x + 62, 0 = -m*g - 5*x + 170. What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133084875 divided by -69135.\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 64.772 minutes?\nAnswer: 3886320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from sujjjuuu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p - 22. Let d be a(-9). Let z be -12*(-4)\/((-32)\/d) - -3. Let u = z - -506. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*m**2 - 9*m**4 - 36*m**2 + (-4 + 4 - 2*m**2)*(0 + m**2 + 0) + m**4 + 2*m**4 - 4*m**4.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44436496*j + 368552355 wrt j.\nAnswer: 44436496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p - 3*h - 34, 3*h = -2*p + 1. Let l = p - -5. Suppose -3*r + l = 2*r. Solve -r*i = -4*z + 18, 0 = 3*z - 3*i + 4*i - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*v**3 + 35 - 22 - 13.\nAnswer: -340*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 + 276*y**2 - 12696*y + 194672 = 0. What is y?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 8*h + h - 48.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 9680.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 4?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**3*b))\/(b\/b**(-23))*(b*b*(b**5\/b)\/b)**(-49))**(-39) assuming b is positive.\nAnswer: b**10608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(833))**2 + -2) + 2 + (sqrt(272) - (sqrt(272)*-4)**2).\nAnswer: -8505 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 214560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138532, -276462, -414392, -552322, -690252?\n\"Answer: -137930*g - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*y = 2*y + 52, -2*y + 24 = -4*w. Let o = w + 8. Suppose o*i + 3*c = -3*i, c + 12 = 3*i. Solve 0 = l + i*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 15 + 15. Suppose -k = -n*k - 10. Let c be k\/(-6) + (-5)\/15. Solve -5*v + 2*x - x + 20 = c, 3*v - 4*x - 29 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50, 306, 574, 860, 1170, 1510, 1886, 2304?\n\"Answer: t**3 + 249*t - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -214, -3 in ascending order.\nAnswer: -214, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*l - 31*l**2 + 10*l - 8*l in the form b*l + c*l**2 + n and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Let s be b(3). Suppose 0 = 4*k - s*k - 50. Suppose -3*m + 1 = 3*j + 2*m, -4*m - 16 = 0. What is the remainder when k is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -15\/4396, 2 in descending order.\nAnswer: 4, 2, 1, -15\/4396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -34. Let v be 9\/12 - 16601\/r*-2. Let s = 2721\/2 + v. Find the common denominator of s and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/((-585)\/(-20)))\/(4\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66375807 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 393984 and 2234400.\nAnswer: 482630400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5\/20 - s**2\/2 + 4. Let i(g) be the second derivative of f(g). Let c(x) = 2*x**2. Determine c(i(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let f(y) = 5*y. Let q(l) = -3*f(l) + 7*j(l). Let m(s) be the first derivative of 26*s**3\/3 - 298. Give m(q(p)).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29438*q**3*s + 31*q**2*s - 5*q**2 - 3*q*s + 3*q wrt q.\nAnswer: 176628*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*b + 91*b - 184*b - 145269*b**2.\nAnswer: -145269*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*k - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9229460 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80712 + 1350*h**2 + 80712 - 1349*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(-35)*(s\/(s*(s**(-3\/5)\/s*s)\/s))\/s**(-3)*(s\/s**(-1))**40*(s*s**(1\/3))**(-41) assuming s is positive.\nAnswer: s**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3079.1 rounded to the nearest ten?\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38331274*q**2 + 6*q + 53266.\nAnswer: 76662548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 1259*c - 3772. Give f(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 + 4*z + 169. Let x be p(10). Let l = -11 - -38. What is the greatest common factor of x and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:42 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 971291.3 decades?\nAnswer: 9712913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -v - 5, 2*v - 3*s + 8*s = -11. Let i = v - -52. Let u = -8 + i. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 9944615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -11234040614?\nAnswer: 11234040622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 (base 8) in base 4?\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 7. What are the prime factors of (-2 - 2)*11\/v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (53 - 49) - (-4 + (-1 - -2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200 - 10?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 9*h + 2. Suppose -7*k = -h*k. Let v(a) = 3*a - 2*a + k*a. Let l(g) = -3*g**2. Give v(l(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 483011 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. What is the third derivative of -12*v**4 - 6*v**2 + 4*v**4 + 7*v**n wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.015, -1\/4, 3, 0.3, -12.\nAnswer: -12, -1\/4, -0.015, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0501 times 5839?\nAnswer: 292.5339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2. Suppose 3*m + 90 = 5*o, 41 + 49 = 5*o + 2*m. Let i(f) = 138 - 138 - o*f. Give i(w(l)).\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 3008\/17. Let i = 220 - 221. Which is the third smallest value? (a) 5 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*b**3 + 32\/3*b + 8 + 14\/3*b**2.\nAnswer: 2*(b + 2)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 67?\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 1. Let h be y(5). Suppose 4*f + 32 = -244. Let p = -61 - f. Solve -2*z - h = -5*z - k, p = z - 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -11, -4095 in increasing order.\nAnswer: -4095, -11, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 31 - 10*u**2 - 31)*(-3*u + 0*u + u).\nAnswer: 20*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 30 + -4 + (-14 - -6) - -86.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + 32 + 30 + -120.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3 + 2*s - 8*s + 1 + s**2. Let j(f) = 6*f**2 - 31*f - 10. Let x(q) = -11*d(q) + 2*j(q). Calculate x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 13) in base 11?\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Suppose 3*m = -5*j + 234, -312 = -4*m + 2*j - w*j. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:46 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**8)\/h))\/(h**(-3\/4)*h))\/((h*h**(5\/3)*h)\/(h\/((h*h**(-3\/5)*h)\/h))) assuming h is positive.\nAnswer: h**(-619\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617300 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.0099\nAnswer: 0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + (4 - (1 + -13 - -50)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 14\/35 + (-26)\/(-30)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15691, 5, 4, 1, -2, -3 in increasing order.\nAnswer: -15691, -4, -3, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 6. Let z(a) = -12*a + 1. Let p be z(1). Suppose -4*i = -2*t + 4, -3*t + 17 = -2*t + i. Let w(d) = 2 - 9 - t + 17*d + 2. Give p*v(j) - 4*w(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1234 - 364. Suppose 2*u - 868 = -2*o, 2*u + o - p = -3*o. What are the prime factors of u?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-202)\/(-6) + (-2)\/(-6). Suppose -33*j + 4805 - 1703 = 0. Let p = j - 43. Calculate the greatest common divisor of p and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6330.4 * -0.2\nAnswer: 1266.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6851 and 57970?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 21701?\nAnswer: 21710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-50)*125\/10)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -53 + 101. Suppose s*c - 30*c + 11528 = 0. List the prime factors of c.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*113\/6. Let k = l - -29. Let g = -98 - -94. What is the second biggest value in -2, k, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1199746 or -1?\nAnswer: 3\/1199746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 14 = 3*h + 5*p, 5*h - 2 = 3*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcccctcccc. Give prob of picking 2 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 46*d. Let n(z) = -71*z. Give o(n(g)).\nAnswer: -3266*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345.07036 + 0.07036. What is the second smallest value in 3, l, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnmudtdunnnmddndmdn. Give prob of picking 1 m and 1 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19860342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111538.03 + 110930. Let b = j + 605. What is b rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -170. Let u = m + -76.5. Which is the second smallest value? (a) u (b) -1\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 - (29 + 1 - (-256 - -276))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three quarters of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010110111010 + 101?\nAnswer: 111010110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.5 and 1689.\nAnswer: -5911.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*p + 88, -4*m + 3*p + 68 + 0 = 0. Suppose -m = 2*r - 4. Let z(g) = -4*g + 21. Let j(a) = 11*a - 62. Let f(x) = r*z(x) - 3*j(x). Determine f(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2. Let z(w) = -56*w**2. What is z(o(l))?\nAnswer: -2744*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2539.5 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 4*q**2 + 5*q**2)*(-4 + 4 - 2) + (0*q**2 + 0*q**2 + q**2)*(-1 - 4 + 4) - 444 + 30*q**2 + 444.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -8 - 5. Suppose -o*h + 1420 = -3*h. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155146361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -100\/53797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 622, -486, -1594, -2702, -3810, -4918?\n\"Answer: -1108*t + 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:05 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14754 - 319.\nAnswer: -15073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -190. Let p = -4 + a. Let h be p\/135*15\/2. Solve -5*g = -h*y + 10, g + 0*y - 11 = -2*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3 - 3. Is (28\/(-4))\/(t + -3 + 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 24. Let t be r(13). Let w(c) = -c**2 + 11*c - 10. Let p be w(8). What is the tens digit of (-636)\/t + 4\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 74*i - 3125. Let s be y(-30). Let t = 14 + -15.2. Which is the closest to -2\/3? (a) t (b) -2\/19 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057213448 to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2096.3 * -0.3\nAnswer: 628.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.48970698 - 2.48970368. Let g = 68 - i. What is g rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 2*b = -33*x - 30*x - 1064, -19 = x - 2*b for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8178 - 297 = 5*g, -3*g + 2*d + 4730 = 0. List the prime factors of g.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 3*u - 8*a + 3*a, 0 = u - 2*a - 87. What is the remainder when u is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 0*h - 1\/120*h**6 + 0*h**3 + 6*h**2 - 1\/5*h**5 - 1\/8*h**4. What are the prime factors of n(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 37, 122, 293, 580, 1013, 1622?\n\"Answer: 5*f**3 - 2*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4286 + 330041\/77. Find the common denominator of 23\/143 and b.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/sqrt(7) + -5 - ((sqrt(325) - (sqrt(325) - -2*sqrt(325)))*3)**2.\nAnswer: -11708 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 0 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5024799*m**2. Let o(a) = 144*a. Determine o(d(h)).\nAnswer: -723571056*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00922517668 rounded to 4 dps?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 3. Let g(s) = -1 - u*s - 5 + 11*s. Is g(11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4319*s + 4319*s - 91*s**2)*(-2 - 1 + 4) - 1 + 2*s**2 + 1 + (0*s**2 + 3*s**2 - 5*s**2)*(2 + 1 - 4) + s**2 + 0*s + 0*s.\nAnswer: -86*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 + 42*m**4 + 54*m**3 - 132*m**2 - 51*m + 90 = 0.\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, -2, 2, -4 in decreasing order.\nAnswer: 2, 0.38, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40310700 and 700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 - 20*v - 20. Give b(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.839 + 89.739. Let a = y + -89. What is the nearest to a in -1, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -670.7 + 634. Let j = h - -14.7. Which is bigger: j or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**4\/8 - 3*q**3\/2 - 9*q**2\/4 - 3*q\/2 - 1. Determine v, given that u(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286475981 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5480330840 rounded to the nearest 1000000?\nAnswer: -5480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*f**2*j**3*y**3 + f**2*j**3*y**2 + f**2*y**3 + j**2*y**2 + 302*j*y wrt y.\nAnswer: -930*f**2*j**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*v + 20480 = 4*q - 765*v, 3*q + v - 15370 = 0. What is the remainder when q is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8119 - 8103. Solve 28 - 60 = -i*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 43 + 275 = 0. Let i be f\/(-3) - (-20)\/30. Let g = i + -18. Is -12 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/40)\/(3\/15)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 7\/(-3) - (-6 + 234\/54). Solve -q - 3*u - 3 = -3*q, -q - m*u - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1128\/(-36)*2*10\/200*30\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -625*x**4\/12 - 78*x**2 + 226*x + 2. Differentiate n(s) with respect to s.\nAnswer: -1250*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -0.2 (b) -0.5 (c) 0.147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -7.867, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -50.791, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**3 + 9*b*l**2 + 426*l**2 wrt b?\nAnswer: -12*b**2 + 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*i**2*j**3 + 3*i**2*j + 8*i*j**4 + i*j**3 + 16490*j**2 wrt j?\nAnswer: 3660*i**2 + 192*i*j + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 4*q**2 + 4*q + 2. Let t be x(-5). Let p(c) = 3*c - t*c - 4 + c + 2*c. What is the units digit of p(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 + 6*z + 7. Suppose -390 = 5*i - 375. Let y be j(i). Let m = 0 - 9. Are m and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/26 - (9 - 329659\/1573)\/2. Is 101 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1529?\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26079996724 and -5341.\nAnswer: 26079991383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -1)\/((-8)\/8). Suppose -s + 0*s - 35 = 3*w, r*s = 2*w. Let q(c) = -2*c - 4. What are the prime factors of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o. Let n(k) = k + 1381. Determine n(v(f)).\nAnswer: 10*f + 1381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2\/3 (c) 0.14 (d) -1\/6 (e) -14\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8718100 is divided by 2179443.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -4\/9, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + (22 - 32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 76743030?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520629 divided by 173543.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -26. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 3. Let m be n(5). Suppose m*a - 108 = -2*a. Suppose -87*l - 496 + 1366 = 0. Calculate the remainder when a is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from {y: 6, b: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 411 - 338 = -599 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/10 - 7*o**4\/12 - 9*o. What is the third derivative of i(k) wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 + -6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - x + 2 = 0, z + 1234*x - 1230*x = 8. Sort 3, z, -67.\nAnswer: -67, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 98501.99ng?\nAnswer: 0.00009850199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + sqrt(7) + sqrt(7))*-3 - sqrt(7)))**2.\nAnswer: -2100*sqrt(7) + 9475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 5:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g + 1. Let t(l) = 10*l**2 + 30*l - 5. Let y(f) = -6*c(f) - t(f). Determine y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*k + 4 = 0, -k = -m + k. Suppose l + 6*i - 3*i + 13 = 0, -m*i = 20. Calculate the smallest common multiple of 97 and l.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*q + 300 = 141*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -9. What is the closest to -2\/7 in -2, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2. Let w(s) = -4*s**2 - 3*s - 3. Let i(h) = 5*h**2 + 4*h + 4. Let m(k) = 3*i(k) + 4*w(k). Determine m(p(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3511263, -3511262, -3511261, -3511260?\nAnswer: -3511259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3)*-1)\/(205\/(550425\/(-3938))).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8590577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = 5. Suppose 2*k + 4*l - 262 = a*l, 2*l + 258 = 2*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0648 - 0.7048. Which is the smallest value? (a) 5\/3 (b) j (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -121. Let u be 6\/(-206) + (-35 - s). Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539879094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/4 - 13531*m\/4 - 2771871\/2 = 0 for m.\nAnswer: -398, 13929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 - j**4\/6 - 14*j**3\/3 + 7*j**2. Let x be m(8). Factor 1\/7*a**x - 1\/7 - 2\/7*a + 2\/7*a**3 + 0*a**2.\nAnswer: (a - 1)*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 56*v + 1571. Calculate u(-20).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18209861 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(-1)))))**(-36)\/((t**(1\/11)\/t)\/t*t)**(3\/7) assuming t is positive.\nAnswer: t**(-2742\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00061 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 7, -1.264, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -84*p**2 + 12*p - 55. Let g(h) = -83*h**2 + 14*h - 55. Let r(j) = -6*g(j) + 7*x(j). What is the first derivative of r(n) wrt n?\nAnswer: -180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2837319.03172 + 0.1.\nAnswer: -2837318.93172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -95ac?\nAnswer: -95b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6856.541 grams?\nAnswer: 0.006856541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/8*5\/(-50).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-8)*34\/(-255)*1*-5)\/(-10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, 1, -1, 0.0457 in descending order.\nAnswer: 1, 0.72, 0.0457, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -105*t + 4. Let b be m(0). Put -166, b, 6, 3 in descending order.\nAnswer: 6, b, 3, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 + 32*n**3 + 27*n**2 - 810*n - 1728 = 0. What is n?\nAnswer: -3, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39788637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 679.999997695 + -680. What is c rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33611*b*l**5 + 4*b*l + 790*b - l**5 - 4*l**2 wrt l?\nAnswer: -2016660*b*l**2 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 58*t**2 - 644*t + 86. What is c(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/3 + 40*h**2 - 332*h\/3 + 72 = 0. Calculate h.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*f**4 + 1325*f**3 - 2*f**2 - 34276*f wrt f?\nAnswer: -1272*f + 7950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 6. Let a be o(6). Suppose -42*z - 678 = -45*z. Let t be -4 + z\/57 + 7 + -7. Is t less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6049 divided by 263?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 282, 411, 520, 603, 654, 667?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 10*a + 26. Let n(o) = o**2 - 2*o - 5. Suppose -47 = -3*y - 41. Let x(h) = y*c(h) + 11*n(h). Let r be x(-1). Solve r = f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92\/6 - 4\/(-48)*-4 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3156 - -3749. What is the remainder when m is divided by 150?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 25*d**7\/14 + d**6 + 3*d**5\/20 + 4*d. Suppose p(s) = 0. Calculate s.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 + 13*c**3\/3 - 175*c**2. Determine h(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/108, -0.4, 1.\nAnswer: -0.4, -1\/108, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108608793 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -22\nAnswer: 59\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.5745?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -8 - (2 - (7 + -4))) + -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 678264987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2170\/27 + 36836\/459. What is the second smallest value in 5, k, 6\/19, 4, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98259 and 182481?\nAnswer: 1277367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -143?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*h**3 - 959*h - 175*h**3 + 964*h - 134*h**3 + (h + 1 - 1)*(2*h**2 + 3*h**2 - 2*h**2) to g*h**3 + u + c*h + z*h**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-6)*(-1 - 0). What is the closest to 6 in c, 1\/2, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1900\/124501 + -2\/793. Let d = t - -3758\/785. Let s = 8 + -3. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1305?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/9 (b) 2 (c) -0.08 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43311939131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 3197 - 9056. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4897293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = -7*m + 2455. Let r = -186 + m. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n + 18*n**2 - 36*n - 47*n.\nAnswer: 18*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w - 2. Let v be j(-3). Suppose 3*x = v*x. What is the tens digit of (x\/(-3) + -1)*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*m + 1 = 7, -5*g + 14 = 4*m. Suppose -3*b - 9 = f, -3*b - 13 = -f + 2. Let 6*r**2 - 2*r - 7*r**f - r**g + 3*r**2 + r**2 = 0. What is r?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 712 or -8.307?\nAnswer: -8.307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - 7 - (8 + 1 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (235 + -197) - -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 4, w: 2, x: 2, m: 7}. What is prob of picking 1 o and 1 a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2 + (-1 - -3). Let v = 434 + -6907\/16. What is the common denominator of w\/3 + (-230)\/84 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 25 = -3*t, 0 = 5*t - q - 30. Let i be 8\/(-12)*t*-63. Find the common denominator of -34\/9 and 1379\/i - 2\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114530 - 77154. Is m a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12521440?\nAnswer: 2, 5, 78259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a factor of 883669962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10 + 18794*w - 18789*w + 53. Let m be h(-7). Sort m, 2, 0, -6 in decreasing order.\nAnswer: m, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4772285 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7384.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.84743462 rounded to 2 dps?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8096*d**3*t**5 + d**3*t**3 + 145*d**3 + 2*d**2*t + t - 1 wrt t?\nAnswer: -161920*d**3*t**3 + 6*d**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 + 2. Let r be j(5). Let t = 57 + r. Let q = -27 - t. Solve 5 = 2*w + x + q, 0 = -x - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.2, -3, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 755 = 5*y, -h - 5*y = 2*h - 445. Suppose 0 = -13*v + 8*v + h. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24266498, 48533003, 72799508, 97066013?\nAnswer: 121332518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 43784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/8*(-536)\/201?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-55) + 162\/(-60).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50591692 by -6.\nAnswer: -25295846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t**2 + 7*t - 24. Determine v(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 23 = -9*o, -8110 = 3*n + 2*o - 8122 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(-3 + sqrt(208) + 1))**2 - -4*-5*(sqrt(637) - (1 + sqrt(637)))).\nAnswer: -400*sqrt(13) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 5*u + 9*u - 80*u + 44*u + 13*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -231, -459, -687, -915?\n\"Answer: -228*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 8) to base 12\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69693 divided by -1\nAnswer: -69693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2568*i**4 + 2945 wrt i.\nAnswer: 10272*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1\/(-1)*9\/45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126643892 and 0.4.\nAnswer: 50657556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -91405163 - 1033?\nAnswer: -91406196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s. Let t(f) = 581*f**2. What is t(l(r))?\nAnswer: 113876*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4604 - 2*l - 4604.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5074 + 33402. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120613 + -44780. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -27*i**3 + 2*i**2 + 11*i + 15. List the prime factors of m(-4).\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 - (0 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 5*w - 3. Is n(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909817653.\nAnswer: 3, 2113, 143527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158184 and 118638.\nAnswer: 474552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6635 + -6630. Which is the closest to -5\/4? (a) -0.1 (b) -10 (c) n (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16466 - 15?\nAnswer: 16451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20918395.9 to the nearest 100000.\nAnswer: 20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 3*y - 6, 4 = 5*l + 2*y. Let b(n) be the third derivative of l*n + 3*n**2 - 1\/30*n**3 + 1\/300*n**5 + 0 + 0*n**4. Solve b(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/3)\/a*a**27\/a*a assuming a is positive.\nAnswer: a**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (-1 + 8 + (17 - 12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -203*q + 70*q + 61*q + 5*q**2 + 72*q. Let c(x) be the first derivative of 2*x**3 + 1. Determine b(c(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111100 - -1110?\nAnswer: 1011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 6*n**2 - 140*n. Let i(v) = -v**3 + 2*v**2 + 2*v. Calculate 3*i(u) + w(u).\nAnswer: -u**3 - 134*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.2. Let x = -140.913 + 144.913. Which is the closest to -1? (a) x (b) 0.06 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:15 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4174367*0.55\nAnswer: 2295901.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6913620 divided by -223020?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165 + 1?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 40700 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 169*d - 6486. Give b(-59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077431 to 5 dps.\nAnswer: -0.00774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2238 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12789084 and 133\/1079598.\nAnswer: 166258092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 31*x**2 - 12*x + 186. Give p(-11).\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1 + sqrt(288) - sqrt(288)) + sqrt(288))**2 - sqrt(288)*2*4)*1 + -3.\nAnswer: -192*sqrt(2) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from xbhpbphipxpfbhbbfbh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145944.\nAnswer: 2, 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 116\/8 - 4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15330\/6132*(-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:59 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 13206*z**2 - 11*z + 22. Let d(b) = 2*b**3 - 6605*b**2 - 6*b + 12. What is -11*d(k) + 6*t(k)?\nAnswer: 2*k**3 - 6581*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -5*-1*sqrt(343))\/(-2*1*sqrt(7)))\/((sqrt(700)*2 - sqrt(700))*-5 + (sqrt(700) - (sqrt(700) - 1*sqrt(700))*-5)).\nAnswer: 3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.422561 rounded to two decimal places?\nAnswer: -9.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 18*g**2 - 20*g + 98. Is 33 a factor of t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-32)*4*-108. What is the second derivative of -156*v**3 + 25*v - 40*v**5 + 14*v**5 + s*v**5 wrt v?\nAnswer: 20*v**3 - 936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4644 and -23\/1335924.\nAnswer: 4007772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 8. Suppose 3*t = f*t - 8. Let r be (-1)\/t*12\/21. Which is the biggest value? (a) -0.5 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - (-143)\/(-33). Is 808 + (-5 - k) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 957166, 1914331, 2871496, 3828661?\nAnswer: 4785826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/5 + 27134*w**3\/5 + 184604928*w**2\/5 + 7339737506*w\/5 - 7524369569\/5 = 0. What is w?\nAnswer: -13547, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 54.\nAnswer: 1, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1, -11, -0.02, -111\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/210 and 83\/33868.\nAnswer: 3556140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*9\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -88\/28723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(95)\/sqrt(5)*-6 + 2)*6.\nAnswer: -36*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4427692.1 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 229. Let o(r) = -4*r + 114. Calculate -3*i(m) + 5*o(m).\nAnswer: -2*m - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 4. Suppose 12 = 5*i - 3, -2*s = 5*i - 33. Let k = s + -10. Let j(n) = -1. Determine k*y(f) + 4*j(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/39)\/(75 - (-93023)\/(-1261)).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*c + 4, -15 = j - 5*c + 1. Solve -j*d - v = -1, -4*d + 0*v - 3*v = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)\/(j**3*j)*j**6\/j*j*j**(1\/5))\/((j\/(j\/((j*(j*j**13\/j)\/j)\/j))*j)\/j**8)**(16\/3) assuming j is positive.\nAnswer: j**(-382\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.508\nAnswer: -0.2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227606 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 68. What is r(-39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.52. Let d = r - -6.12. Let j = d + -6.1. Which is bigger: j or -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**16\/(n\/(n*n**(-25)*n)) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.4 + -28.564. Let o = -0.266 + b. What is the second smallest value in 1\/2, 5, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*p**2 - 161*p**2 - 27*p**2 - 127*p**2 + (-3*p + 5 - 5)*(2*p - 5*p + 5*p) to m*p + d*p**2 + i and give d.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1077 - 17*h + 1077)*(-5 + 3 + 0) + 2*h + 2*h - 2*h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1565429499934 take away 0.4?\nAnswer: -0.2434570500066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -214*x**2 + 7*x - 8. Determine f(2).\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 7\/4. Is z at most as big as -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*z - 12, 213 = y + 2*z + 219 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o + 2*o + 3*o to c + g*o and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/((-1)\/9). Let b(d) = d**2 - 2*d. Let l be b(p). Solve -k + 3 = -l*s + s, 0 = -s + 3*k - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2)\/((-2)\/21). Suppose h = 5 - 9. Let t be v\/(-3) - h\/6. Solve t*b = 3*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-2)\/((-2)\/(-5)). Solve -q*r - 25 = -8*t + 3*t, 5*t = r + 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69463313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 14*n**2 - 42*n - 25. Let t be s(-10). Suppose p - 5 = 6*p. Put p, -2, t in increasing order.\nAnswer: t, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22820921701.9432106 - 25659024719.74321137. Let o = s - -2838103006. Let i = 11.8 + o. Round i to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*o = 1, 5*i + o - 4 - 9 = 0. Let y = i + -1. Let c be (-4)\/(-2) + -2 + y. Solve 2 = c*s - 4*u, -1 - 22 = -5*s + u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*j + 167*j + 4 = 0. Solve -2 = -q + c + 2, -q = -2*c - j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-24)*4*(-3)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -426, -5, 2.\nAnswer: -426, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5048886.\nAnswer: 2, 3, 53, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by -28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-3\/2))\/o)**(-2\/17) assuming o is positive.\nAnswer: o**(-5\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let l(q) = -3*q + 28. Let r(s) = -4*h(s) + l(s). Let b be r(-10). Solve 3*w = 3*i + 21, -3 = -5*i - 3*w - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from {t: 1, c: 1, n: 2, s: 3, g: 5, x: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1153 = -2*i, 2*b + 844*i = 846*i + 454. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 - 68 = -2*g. Let y = g + -85. Let m(f) = f**2 + 2*f - 3. Let h be m(-5). Is y greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 370. Let o be t(-56). Calculate the greatest common factor of 1394 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 764 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42514439*z**5 - 18*z**2 - 491189?\nAnswer: 2550866340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - -3 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 6, -1\/2, 2, 103.67, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*y**5 - 248*y.\nAnswer: -1020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129681*t**6 - 3*t**2 + 103316*t wrt t.\nAnswer: -15561720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -10*q**3\/3 - 68*q**2\/3 - 46*q - 24 = 0?\nAnswer: -3, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:50 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 230041, 920161, 2070361, 3680641, 5751001, 8281441, 11271961?\n\"Answer: 230040*x**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 536.622 litres?\nAnswer: 536622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -3.08. Let a = -1\/17 - -55\/68. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416*g - 274*g + 3*g**3 + 18*g**2 + 2 - 173*g - 4 to y*g + v*g**3 + j*g**2 + t and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 16*j**2 + 136*j + 71. Let t be p(-22). Let n(a) = -a**2 + 4*a - 8. Let r be n(4). Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221624987.\nAnswer: 3, 61, 854407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 1779, 5903, 13923, 27135, 46835, 74319, 110883?\nAnswer: 157823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/5)\/(y\/y**4)*y**(2\/17)*(y*y**(-2\/7))\/y assuming y is positive.\nAnswer: y**(971\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22670235, -22670233, -22670231?\n\"Answer: 2*s - 22670237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 17}. Give prob of sequence qd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(2*sqrt(2)*2) + (sqrt(11) - (-1 + (sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11)))**2 - (-1 + sqrt(11))*-2))*-2 + 5 + 4.\nAnswer: -21*sqrt(11)\/2 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 12*o + 9 = 0. What is the greatest common factor of 72 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829459779?\nAnswer: 7, 5081, 51437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15468 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 - 84 = -30*a. Let p be ((-2)\/a + 0)\/(30\/240). What is k in 0 + 12\/7*k**2 + 4\/7*k**5 + 4\/7*k**3 - p*k - 12\/7*k**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6\/v)\/(v*(v*v*v*v**(-3\/10)*v)\/v)*(v\/(v\/(v*v**(-1)))*v)**32)\/(((v*v**(2\/7)*v*v)\/v)**10)**0 assuming v is positive.\nAnswer: v**(343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + 1.2. Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i*y**2 - i*y + 4*i - 85*y**4 + 2*y**2 + 6*y + 7 wrt y.\nAnswer: -14*i - 1020*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7 = 4*u - 5*u, -4*u = -f - 14. Suppose u*i + 5*w - 316 = -0*w, 2*i - 215 = w. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/4 - 13*c**4 + 72*c**3 - 249*c**2\/2 - 35*c\/4 + 147\/2 = 0. Calculate c.\nAnswer: -2\/3, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9. Let f(w) = p*w**2 + 1 + 0*w**2 + 0*w**2 + w**2. Let v(o) = -21*o**3 + 51*o**2 - 33*o + 9. Let t(m) = -3*f(m) + v(m). Factor t(c).\nAnswer: -3*(c - 1)**2*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*d - 119*d + 414. Let r = d - 149. Is 4 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -11*s**4\/12 - s - 679. Let u(x) = 384*x. Calculate u(l(h)).\nAnswer: -4224*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 9\/2*l**2 + 4 - 4*l. Let y(h) = -19*h + 8. Let q(s) = -9*c(s) - 4*y(s). What is the first derivative of q(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2*f**2 - f**2 - 9*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.8, 4, -19?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -2\/99, 2368?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3146*n + 2*t + 7 = -3147*n, t + 17 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568.27 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*s = 205, 0 = -2*x - 3*s + 60 + 37. Calculate the highest common divisor of 110 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 1. Let c(m) = -m**2 - 6*m + 6. Let f be c(-7). Let y be o(f). Solve y*i - 27 - 2 = -n, -20 = -5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38912\/(-64)*(-220)\/1408.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -202452063 - 3?\nAnswer: -202452066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -34 + 38 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -25\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036816 less than -62?\nAnswer: -61.963184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*d - 10, -f = -d + 4*d - 2. Let h(t) = -t**f - 2309 + 2309. Let c(v) = 20*v**2. Calculate h(c(y)).\nAnswer: -400*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 471 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447768.\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2\/3*k**3 - 11*k + 0 + 3\/2*k**2. Let q be j(0). Solve -q*i = i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-155820)\/1225)\/159)\/((156\/10)\/3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)\/((f\/f**(1\/9))\/f)*f**(-2\/21)*f*f**(1\/7))**10 assuming f is positive.\nAnswer: f**(1360\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/21)\/(57\/133)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * -0.82\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378073\/145068 - 5\/5181. Let v = -1812 + 72489\/40. What is the common denominator of b and v?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 - 0.06\nAnswer: -135.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 17*c**3\/6 - 13*c**2\/2 + 14*c. What are the prime factors of u(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(396) + (sqrt(11) - ((-3*sqrt(99))\/sqrt(9) - sqrt(11))))**2.\nAnswer: 5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c - 6. Let o be n(5). Let v = o - 29. Suppose 2*l = y - v - 2, -5*l = 25. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - 65.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*n = 4, 5*p + 20 = 12*n - 7*n. Which is greater: -23 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30*t**2 + 31*t + 134. Is d(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24143529 * 10\nAnswer: 241435290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/20)\/(((-27)\/(-36))\/((-45)\/(-10)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204727 is divided by 165.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 841 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97280.1 and 3?\nAnswer: -291840.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 1970227 (base 11) to base 7\nAnswer: 40152213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -3*h**2 + 2. Let o(g) = 6*g - 13*g + 0*g + 3*g. What is o(q(s))?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4689*v**2 + 8814*v**2 - 4123*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1\/4, -0.5, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572\/1953 + -2\/279. Suppose -5*r + 2*p = -0 - 6, -2*r = -3*p - 9. Is t > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l**3 - l**2 - 118*l + 13. What are the prime factors of d(-10)?\nAnswer: 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-12)\/9. What is the third derivative of 2*c**p + 2*c**3 - 2*c + 0*c + 2*c wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 32*b + 88, -4*b = -25 + 61 - 24 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1\/119, -4 in increasing order.\nAnswer: -4, -1\/119, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8117126*f + 6444843?\nAnswer: 8117126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226146 (base 8) in base 5?\nAnswer: 41322141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/60 + i**3\/6 - 3307*i**2. Let z(w) = -5*w**2 - 24*w + 5. Give -4*c(j) + z(j).\nAnswer: -j**2 - 24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604*z + 156300 + 146538 - 87605 + 16523 = 0 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1409010 and 4245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -7. Let y = -12.183 + 3.183. What is the third biggest value in -6, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 6*q - 12. Let r be i(5). Let v = r - 173. Solve -4*j + v + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -4\/5, 2\/5, 1157?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 7. Let z(f) = -f + 7. Let j(r) = 3*r**2 - 4*r - 1. Let l be j(6). Let p = -87 + l. Let b(x) = p*z(x) - 3*n(x). What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -34*l - 109. Let o be a(14). Let z = -88 - o. What are the prime factors of z?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -58 = -0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93541*j**3 + 142935*j**2?\nAnswer: 561246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 107 - 1530. Let s = 4857 + k. What is the tens digit of 6\/(-5)*s\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8649 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*y + 23, 0 = -3*i + 7*i + 3*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1300) + -1 + (sqrt(1300) + -2)**2*-2.\nAnswer: -2613 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 139\/1251 - (-3023)\/(-27045). Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 91. Let s(q) = 1. Let j(d) = -4*d - 3. Let a(f) = 15*f + 12. Let r(l) = 5*a(l) + 21*j(l). Give z*r(g) - 4*s(g).\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 11)\/((-12)\/(-16)). Let v = 23 - y. Calculate the least common multiple of 10 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g. Suppose g = 4*a + 4 - 28. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 r when four letters picked without replacement from ddrdddrddddddr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/3 - 5*i**3\/6 - 6*i**2 + i. Let o(c) = c**2 - 1. Let j(f) = -g(f) + 5*o(f). Does 7 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:28 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1267 - -1851. Let q = -529.3 + s. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from dncncr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m. Solve 0*a + a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*q - 5)*((2*q - 3*q - q)*(-2 + 0 + 1) + 0 + 2*q + 0).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -13, -23, -37, -55?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.13, 2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from fnofdfd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/37 (b) 372 (c) -1\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4 + 206*j + 4 - 205*j. Let s(o) be the third derivative of -o**5\/60 + 2*o**2. Determine b(s(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/203 and -81\/13475?\nAnswer: 390775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -534605 (base 7) in base 13?\nAnswer: -3339b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 25*z - 12*z - 2*z - 3*z + 4. Give x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170.173 + -170.1730113299. Round c to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (49 - 26) + 6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 + 2881?\nAnswer: 2881.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*t + 2*t, -3*t = -3*l - 6. Suppose 31 = 10*z + l. Solve z*y = 4*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.1. Let v = 0 + h. Let t = 4 + -5. Which is the nearest to -1\/4? (a) 1\/5 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 4304048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111543928 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48483691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0973 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c)*(-2*c - 2*c**2 + 2*c) - 6*c**3 + 27*c**3 - 14*c**3 + 0 + 4*c**3 + 0 - 2*c**3 - c**3 - 2*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1751, 2743, 3735?\nAnswer: 4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/m*m)**(2\/23)\/(((m*m**(1\/7)\/m)\/m)\/(m\/(((m**(2\/13)*m)\/m)\/m)*m)) assuming m is positive.\nAnswer: m**(337\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -918.003235 - -918. What is o rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 12*c + 34. Let r be x(-6). Sort 17, r, 2\/5 in decreasing order.\nAnswer: 17, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1111\/3 - 371. Which is the closest to 1.9? (a) m (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**2 - 25*j - 62*j - 32 + 7*j - j**3 - 23*j**2. Let n be q(-26). Solve -18*s + n*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/7 - 15252*l**2\/7 + 243648*l\/7 - 974080\/7 = 0.\nAnswer: 8, 7610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:26 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7651.11 - 6219.4. Let l = x + -1576.843. Let s = -145 - l. Round s to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - o**3 + 1\/4*o**4 - 1\/4*o**2 + 0*o + o**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/12 + n**3\/6 + 2*n**2. Let l(f) = -1. Let o(g) = g**3 - 9*g**2 - 67*g + 193. Let w be o(13). What is w*l(m) - v(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -3*x - 4*c, 2 - 17 = -5*c. Suppose -5*f - x + 279 = 0. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 - 5*m - 6. Let j(r) = -r**3 - r**2 - 3*r - 5. Let u = 318 - 322. Let a(q) = u*j(q) + 3*y(q). Give a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 7. Calculate the remainder when 30 is divided by b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 258, 518, 778?\n\"Answer: 260*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/2 (b) 139 (c) -10\/47 (d) 1\/4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4587182, -9174365, -13761548, -18348731, -22935914, -27523097?\nAnswer: -32110280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181360, 362721, 544082, 725443?\n\"Answer: 181361*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-72*1)\/(-3). Let b be 1\/((-1 + -1)\/(-8)). Solve -d - b*d - k = -v, 4*k = -d - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wccc when four letters picked without replacement from cwwcccccwcccccc.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**5\/x)*x)*x)**(9\/4) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = -4*x - 457 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 7. Let j = 143 - 150. What is l(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.518 times 0.1?\nAnswer: 0.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 2*x**2 + 0*x**2)*(18*x**2 - 11*x - 16*x**2 - 27*x) as m*x**2 + g + j*x + z*x**4 + o*x**3 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -543.\nAnswer: -542.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 55\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66084.95 litres in millilitres?\nAnswer: 66084950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*w - 583*w + 2 - 83*w.\nAnswer: -1014*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77262, 153138, 229014, 304890?\nAnswer: 380766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let j(x) = -292084*x**2. Calculate p(j(y)).\nAnswer: -292084*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 - 26*z + 78. Let x(a) = a - 17. Let n be x(1). What is the tens digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + 8*l - 14. Let r be (354\/177)\/(2\/(-5)). Let p(w) = -4*w**2 + 5*w - 9. What is r*c(n) + 8*p(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/5, -2, 91, 15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let w be 788\/6*(-36)\/(-24)*1. Suppose -w*o = -190*o + 21. Put -6, o, u in descending order.\nAnswer: u, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 4. Let k be t(-5). Suppose -18 = -7*b + 5*b. Calculate the highest common factor of k and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-28)\/6. Let b(h) = -y*h + 6*h + 0*h + 2. Let x = -13 - -8. Determine b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*x = 93, 375 + 209 = 6*d - 5*x. What is the remainder when 695 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(12\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 776056082 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156963 and 81?\nAnswer: 4238001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m - 112 = -5*b, 29 = b + 3*m. Solve -b*j + 8*j = -11*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1309 by 208.\nAnswer: -1309\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83956585*d**3 + 34921564 wrt d.\nAnswer: 251869755*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 761 = -2*p - 1532, 0 = 3*p - 12. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)\/sqrt(8) + 0 + (sqrt(20)\/(sqrt(10)*2) - ((sqrt(8) - sqrt(2))*-3 + sqrt(2))))**2.\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.6. Let f = -428 - -323. Let d = f + 108. Sort -0.4, 2\/17, p, d in descending order.\nAnswer: d, 2\/17, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 24*z + s = -2, -2*s + 4 = 0. Sort z, -5, -1, 1 in decreasing order.\nAnswer: z, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 108\/(-16))*(-67 + 71)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 6, p: 6}. Give prob of sequence pp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12395\/1708 - 532\/61. What is the common denominator of -79\/378 and z?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20539579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28156 = -49*z + 105075. List the prime factors of z.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.4996 nanometers in micrometers?\nAnswer: 0.0794996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j. Suppose 279*s - 345 + 66 = 0. Suppose w + 3*w - 8 = 0. Let b(r) = -2*r**2 + r - 2*r**w + 3*r**2. Give s*x(v) - 4*b(v).\nAnswer: 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2933, -2923, -2911, -2897, -2881, -2863, -2843?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 146 = 9*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63808082.\nAnswer: 2, 13, 2454157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8585952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 - -127. Let p be (-1 - -5)\/((-68)\/b). Suppose p*s + 16 = 11. Which is greater: s or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or 2\/9?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c**2 + 1. Let h be i(-1). Suppose 0*o - 36 = -2*o. Suppose -h = -3*p + o. Solve b - 5*j = p - 2, -2*b + 5*j + 13 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4329, -15982, -35415, -62634, -97645, -140454, -191067?\n\"Answer: -z**3 - 3884*z**2 + 6*z - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060958861 to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94165486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 181 (b) 9\/8 (c) 0 (d) 7.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*d + 5, d + 4 + 9 = 3*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21137.\nAnswer: 23, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57164, 57166, 57168?\nAnswer: 57170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -3 + sqrt(63) + sqrt(7) + (sqrt(7) - (-4 + sqrt(7)*-1)))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r + 2*r)*(4*r + 2*r**2 - 4*r)*(6 - 10 - 13).\nAnswer: -136*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -5 - -149)*(24 - 21). Suppose 8*f - q = -213. What is the remainder when 57 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 * 346.73\nAnswer: 54783.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 427 and 11160.\nAnswer: 4765320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -12. Let z = 7 + t. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2447 + 2446. Let d(f) = 4*f**2 + f + 2. Calculate d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*q - q + 119, 0 = 2*x + 5*q - 73. Solve 5*v = -2*b + 21, -x = -5*v - b + 3*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x - 15. Let t(f) = -4*f - 4. Let j be t(1). Let u be y(j). Let q = u + -15. Calculate the remainder when 39 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 4. Let q(t) = t. Suppose 2*b - 3 + 1 = 0. Let y be 6\/32*20*4\/3. Let w(k) = b*v(k) + y*q(k). Calculate w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i - 6. Let x = 20 + -24. Let n be q(x). Suppose 5*g + 0*g - m = 78, -n = -m. Calculate the remainder when 27 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:52 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v + 13. Suppose -2*i = v*i + c - 17605, 5*c + 14084 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148 + -142 - (0 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2199531*m - 9. Let z be g(4). Let y = -4685071 - -2086956. Let h = y + z. What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 3 - 5846*x + 3.\nAnswer: -5846*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14233 or 71158\/5?\nAnswer: 14233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -595*f**2*i - 3879180*f**2 + 3*f*i - 1292*i wrt i?\nAnswer: -595*f**2 + 3*f - 1292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3022 - 186045919.\nAnswer: -186048941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3672420\/141975*30\/8?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 211477, 12, -4 in increasing order.\nAnswer: -4, 12, 211477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.34, 16\/5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -948898342769\/3066 + 309490660. Let s = x - -1\/219. What is the common denominator of s and -1\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let f(h) = -h**3 - 18*h**2 - 17*h - 2. Suppose 0 = 2*u - 2*v + 32, -55 = 3*u + v + 3*v. Let z be f(u). Are d and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -98.88. Let j = h + -4. Let z = j - 1.12. Which is the nearest to z? (a) 1\/7 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.785 + 2.885. Sort -1.2, r, -1, 9 in ascending order.\nAnswer: -1.2, -1, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-24))\/((-2)\/8). Suppose 0 = -0*m + x*m - 85. Suppose -4*c + m = 1. Put 0, -4, c in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25843 divided by -11?\nAnswer: -25843\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 - -194. Let i = u - 60. Calculate the remainder when 150 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -16*b**3 - 8*b**2 - 5*b + 28. What is the hundreds digit of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Suppose n*i - 4*c = 3*i + 10, 0 = 3*i + 3*c. Is 2 + 0 + (i - -3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:30 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5925*c**2 + 23715*c + 13. Determine f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*m - 5*z, 6*z - 34 = -2*m + 10*z. What is the lowest common multiple of m and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8401418 to three decimal places.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -250185084.1724 from 11.9.\nAnswer: 250185096.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 44*h**2 + 776*h + 18747. Calculate l(-52).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3476705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6811 - -17?\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 339172800 a multiple of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 181*t + 183*t - 4, 0 = -f + 329*t - 2626 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/216 and -61\/99.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 17\/10, 4, 0.2, 0, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -5.1, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2613*0.005\nAnswer: -13.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 6.8. Let m = -7 + s. What is the second biggest value in m, 3\/5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 604, 565, 532, 505?\n\"Answer: 3*p**2 - 48*p + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22 - -19 - (-2)\/(-5))*-5. Suppose 97*d + v = 98*d. Calculate the remainder when 271 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 55\/4*b**4 + 0 + 0*b - 15*b**3 - 121\/24*b**5 + 21*b**2. Find n, given that t(n) = 0.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -4\/55537159?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 89*t - 6 - 61*t - 3 - 4*t**4 + 3*t**4 in the form l*t**3 + s*t + r*t**2 + b*t**4 + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13644230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/3)\/f)**(-2\/33)\/(((f**(2\/5)\/f)\/f)\/(f*f*f**(1\/7))))**(-35) assuming f is positive.\nAnswer: f**(-13039\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*i + 12. Suppose 5*h + 1 - 34 = 3*w, -h + i = w. Find the third derivative of -2*o**h - 5*o**6 + 5*o**6 - 2*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a0f8 (base 16) in base 5?\nAnswer: -303031411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1259719, 2519442, 3779165, 5038888, 6298611?\n\"Answer: 1259723*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 64. Let p = -3 - -7. Suppose 8*c - 36 = p*c. What is the remainder when y is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -24. Let r(s) = -4*s - 2. What is the least common multiple of 26 and r(w)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/((x\/(x*(x**(1\/4)\/x*x*x*x)\/x))\/x))*x)**(4\/11)*x\/(x*x**(-5))*x*(x\/x**(-5))\/x assuming x is positive.\nAnswer: x**(116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2366360 divided by 5\nAnswer: -473272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8274573.09 nanoseconds?\nAnswer: 0.000000013681503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5))**2*-6*-1 - (sqrt(13) + ((-3*sqrt(78))\/sqrt(6))**2)*2.\nAnswer: -156 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/11)*k)**(3\/10)\/((k*k\/k**(-2\/13)*k)\/k**12) assuming k is positive.\nAnswer: k**(2647\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from qhqhuwwwurrru?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1024)*4 + sqrt(1024) + sqrt(1024))\/(sqrt(96)\/(sqrt(96)\/sqrt(8) + sqrt(12)))*5)**2*5.\nAnswer: 2304000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*1)\/(sqrt(120)\/sqrt(3)) + 1 - ((0 + sqrt(432))*-1 - (2 + sqrt(6)\/sqrt(2)*6)))**2.\nAnswer: 132*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908823.\nAnswer: 3, 302941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14) + 145\/(-210)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f**(-11\/5)\/f*f)**(7\/6)*(f**(-5)*f\/(f**(2\/3)\/f))**(-1\/87) assuming f is positive.\nAnswer: f**(10408\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10 + 1834\/(-840))*-358. Suppose -4*y - 4*v - 3688 = 0, y - v - 591 + 1523 = 0. Let m = o + y. What is the common denominator of 91\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11723 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 136760 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 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: Calculate the greatest common factor of 520 and 36010.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 17*c - 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 17*k**3\/2 + 17*k**2\/2 - 3*k - 1. Find the first derivative of v(b) wrt b.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24 + -11 + 4\/(-2). Let v = 40 + b. Is 560 + 3 + 9\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 65*x**3\/6 - 16*x. Let f(q) = -6*q**2. What is f(i(a))?\nAnswer: -25350*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 1794 - 908 = -5*r + 908, r = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -3*s**5\/20 + s**4\/4 - s**3\/3 + s**2\/2 - 871*s. Let w(t) = 9*t**3 - 8*t**2 + 6*t - 2. What is 8*g(n) + 3*w(n)?\nAnswer: 3*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 684, 1357, 2036, 2727, 3436, 4169?\n\"Answer: c**3 - 3*c**2 + 675*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let l = 72213 - 72216. Sort -6, d, l in increasing order.\nAnswer: -6, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -12, -16, -20, -24?\n\"Answer: -4*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - (-7)\/(105\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -28*z**2 + 40*z - 40. Let w(d) = -15*d**2 + 19*d - 16. Let f(m) = -2*b(m) + 5*w(m). Let i(u) = -5*u. What is i(f(g))?\nAnswer: 95*g**2 - 75*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 3. Let i be f(3). Is 162 + 2 + i + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 5*w**6\/6 + 12*w**5\/5 - 11*w**4\/4 - 26*w**3\/3 + 6*w**2 + 8*w + 211. Suppose i(c) = 0. What is c?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = -33. Suppose -132 + h = -7*l. Calculate the highest common divisor of l and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 37260402\nAnswer: 18630201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -694, -1043?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1341 - 10?\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q**2 - 17*q + 4. Let p be l(-3). Calculate the greatest common divisor of p and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4\/9 + 304*k**3\/3 + 53776*k**2\/9 + 68096*k\/3 + 200704\/9 = 0 for k.\nAnswer: -112, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(-6*i + 18*i + 22*i) + (-4*i - 2 + i + 4*i)*(-53 - 10 + 6) to c*i + f and give c.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + d, -44*p + 2*d = -39*p - 7. Let m(b) = 11*b - 5. Give m(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from babmmbsmmmuffmu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Suppose -2*x - 5*t = 60, -4*x - 150 = 5*t - 20. Is 8\/10*x\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let l(y) = y - 14. Let j(m) = 3*m - 30. Suppose -5*d - d + 24 = 0. Let q(k) = d*j(k) - 9*l(k). Give -6*n(f) - q(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 4*x - 2. Let y be j(-2). Let c = 21\/5 + -57\/10. Let s be ((-1)\/(-3))\/(5\/15). What is the closest to y in c, s, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + u = -0*u - 30, -t = 4*u + 15. What is the remainder when 51 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**2*v**3 - 8132*r**2*v**2 + 3*r**2*v - 3*r**2 - 183*r*v + 4*v**2 + v + 2 wrt v?\nAnswer: -18*r**2*v - 16264*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*s + 3808780 = 0, 2*h + 5*s = -2686581 + 147356. What is h rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/30)\/(-4) + 263\/5. Suppose -50*c = -k*c + 150. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - 2\/3. Suppose 2*a - a - 21 = r. Calculate the remainder when 574\/(-82) - 46*(0 + -1) is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16227, 64340, 144351, 256260, 400067, 575772?\n\"Answer: 15949*t**2 + 266*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1682760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334\/11 - 1317\/22. What is the common denominator of 46 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + 31 + -46 + 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -917*m**3\/2 + 2*m**2 - 2*m. Let r be q(4). What is r rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 6:09 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q + 23*q**2 - 17*q**2 - 2*q wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/2 + 112*i - 225\/2 = 0 for i.\nAnswer: -225, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96.1 - 96. Which is the third biggest value? (a) j (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 - (5 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849371 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 42 = -4*z, -3*q - q - 29 = -3*z. Is -2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-18 - (17 + -43))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12329 (base 10) to base 14.\nAnswer: -46c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*x = -128*x - 1522 + 304 for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 31*w + 336 = 0, -4068*y + 4069*y + 8*w = -2*w + 8*w - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -1\/28*y**4 + 39\/14*y**2 - 2\/21*y**3 - 105 - 72\/7*y. Suppose v(n) = 0. Calculate n.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*n**4 - 995*n*r**2 + r**2 - 28979 wrt n?\nAnswer: -72*n**3 - 995*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 3*g**4 - g**4)*(1 - 2 - 1 - 1 - 1 + 0 + (-1 + 1 + 2)*(0 + 6 - 4) - 9 + 13 - 13) + (-1 + 3 - 1)*(-2*g**4 - 3*g**4 + 4*g**4).\nAnswer: 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/1819 - 172853\/14552. Find the common denominator of -65*(1 + 43\/(-44)) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6919*m - 394*m**3 + 3458*m + 3461*m.\nAnswer: -394*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (((sqrt(75) - sqrt(75)*-1) + sqrt(75))**2 + 1) - (-4 + (-1 + sqrt(75))**2 - sqrt(75)) - 3*(sqrt(243) + (-4*2*sqrt(243))**2)*-3.\nAnswer: 101*sqrt(3) + 139220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11754.528644 - 42?\nAnswer: -11796.528644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029456 to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2))\/((q\/((q*q**(-2))\/q))\/q*q))**1)**(-3\/13) assuming q is positive.\nAnswer: q**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -z + 2*k, -3*z + 20 = 4*k. Suppose -2*q = 3*t - 0*q + 6, z = t - 2*q + 2. Calculate the remainder when 0 - t\/(-1) - -51 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 49*k**2 + 4*k - 98. What is z(49)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.794 + -6.1. Let w = n - -0.2847. Round w to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011101102100 (base 3) to base 2\nAnswer: 1000011100000011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 168.28 + 138955716\nAnswer: 138955884.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 3*b**3 + 428*b + 31 + 7 - 6*b**3 + 2*b**3 in the form y*b**2 + n*b**3 + w*b + k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-20252)\/(-366)).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3414*g - 12586 - 58506 = 38156 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 3*p**2 + 7*p - 2. Let y be d(-5). Let i be 6\/(-39) + (-3 - y\/(-52)). Let g = 11 - 10.5. What is the closest to -1\/3 in g, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 + -42\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 73 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(45) - (sqrt(225)\/sqrt(5) + sqrt(45) - sqrt(45))))\/((sqrt(99)*4)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5038 (c) 2215 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.242 in 5, -2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/3585 - -7402997\/14340. Let f = s + -517. What is the smallest value in 10, -0.08, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18791014843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -152, -322, -508, -716, -952, -1222?\n\"Answer: -i**3 - 2*i**2 - 157*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60660400 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 6647799?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/378)\/(57\/(-21) - -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 52?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 is divided by 224.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - b + 0*b)*(-1 + 2 - 3) - 536*b - 74 + 24 + 47 to the form n + v*b and give v.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + -5 + 6 + 0 - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2 - 2 + 0 + 0 + 2*k + (-1 + 1 + 2)*(k - k + k) + 2 + 2*k - 2 + 2*k - k + k + 220*k - 258 + 225*k - 447*k - k + 0 + 0.\nAnswer: 6*k - 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 10*t**2 + 71*t - 50. Calculate b(-6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3597953255 to the nearest integer?\nAnswer: 59983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/23))**(-46) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16 + 496\/128 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032402 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 4*x**4 - 2*x**4)*(1 + 2 - 2)*(-1 + 1 - 4*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n**2 - 17 - 2*n - 12 - 20 + 47 as w*n + f*n**2 + i and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*a - h, -a - 4*a + 5*h + 10 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279196 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {r: 3, c: 1, o: 1, y: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019764169 to seven dps.\nAnswer: -0.0001976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/3)\/(i\/(i*i**(-1\/14)\/i)))**20 assuming i is positive.\nAnswer: i**(670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3161b - -4?\nAnswer: -31617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 14, -2 in ascending order.\nAnswer: -4, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-2\/9)*m**(-9)\/m**(-16) assuming m is positive.\nAnswer: m**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-777*n**2 + 373*n**2 + 388*n**2)*(24*n**3 + 40*n**3 + 57*n**3 + 0 + 0 + 2*n**3 - 2*n**3 - 2*n**3 + 6*n**3 + (-1 - 4 + 4)*(n**3 - n**3 - n**3)).\nAnswer: -2016*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 9) to base 11\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 449, 1\/4, 5, 0, -1, 1\/2, -28 in ascending order.\nAnswer: -28, -1, 0, 1\/4, 1\/2, 5, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1426 and -8.026.\nAnswer: -1434.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -25. Suppose 4*t + 5*f + 183 = -b*t, -3*t + 2*f = 166. What is the common denominator of -9\/22 and (-6)\/(-16*4\/t)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/174*(-4)\/24)\/((-2)\/220)?\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -28493851*t. Let v(m) = -m. Calculate v(d(w)).\nAnswer: 28493851*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:14 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 + 15*d**2 + 3. Let a(c) = -c**4 - 19*c**3 - 43*c**2 - c - 8. Let f(m) = 3*a(m) + 8*u(m). What is k in f(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 42 = -8*o + 314 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-18 - 6) + 15 + -23).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 31672.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 38 - -1*(-3 - -9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*g**2 - 312\/5 - 148\/5*g.\nAnswer: 4*(g - 39)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1432722*f - 171057694107.\nAnswer: -3*(f - 238787)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 39. Let s = 22 - d. Let c = s - 22. Is -5 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 12600?\nAnswer: -12571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-104) - (5 - (-354)\/(-40) - -4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 79*r**2 - 1373*r + 541. What is v(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 2*t - 10*t + 56 = 18*a - 5, 17*a - 50 = 5*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p + 11. Let q be 96\/24 + -3 + 1\/(-1). What is the tens digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -32*d - 7. Suppose -5*z = -2*z + 21. Is u(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16700789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -37861*y - 1. Let r(j) = 6*j**2. What is z(r(v))?\nAnswer: -227166*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 64, 102, 144, 190?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*3*-2 + sqrt(104))\/sqrt(8) + (3*sqrt(117))**2 + -4.\nAnswer: -5*sqrt(13) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4\/17 (c) 1\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9629.761ug in tonnes?\nAnswer: 0.000000009629761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/14*(-2)\/(-2). Let t = 1 + y. Solve 4*m + t*m = 2*q - 22, -3 = -q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*u - q, -3*u + 4*q = u - 12. Suppose -77*a = -67*a - 290. What is the remainder when a is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -37, -29, -7, 35, 103, 203, 341?\n\"Answer: y**3 - 2*y**2 - y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 7*g + 18. Let c be d(4). What is the greatest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3) - -2)*(-54)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286709 + 2002342\/7. Let q = y + 661. What is the closest to -0.2 in q, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*c**2 - 7\/3 + 8\/3*c.\nAnswer: -(c - 7)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11464 in -2\/13, -0.03, 0.5, -2.74?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - w + 27, -87*w = 5*s - 89*w - 72. What is the least common multiple of ((-8)\/(-5))\/((-3)\/(-15)) and 2735\/45 + s\/63?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*i - 2*i - 4*i.\nAnswer: -6*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (8 - -1)) + 3 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 4)*(-50)\/(-100). Factor 0*f**2 + 2\/9*f + s - 2\/9*f**3.\nAnswer: -2*f*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 3*t**2 - 7*t - 6. Suppose -5*m + 14 = -11. Suppose 0 = 3*p + 4*i - 4 - 0, -m*p - 4 = 4*i. What is the remainder when a(p) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31126801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64749 is divided by 1544?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10768.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*y = -203. Solve -5*d - y = 2*r, 25 = -5*d - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 20, 2\/11, -211, 1, -3, 0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 4. Let q(m) = -m**2 + 2. Let y(p) = -f(p) - 2*q(p). Let j(v) = -22*v - 4 + 4 + 27*v. Give y(j(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 24. Suppose 211*y + 176*y = 387. Let w be (-3)\/12 + 18\/8. Put w, i, y in increasing order.\nAnswer: y, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(12)\/(sqrt(96) + sqrt(96) + sqrt(96) + (sqrt(96)*-1 - sqrt(96)) + sqrt(96)) - ((-1 + sqrt(648))*2 - sqrt(648))**2.\nAnswer: -652 + 579*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -1\/3 (c) -4\/9 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {v: 3, c: 3, q: 3, l: 2, k: 1, z: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -38*w - 167. Let j be h(-4). Let i be -6*(7 + j\/2). Is 125 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 + 249. Which is greater: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) -1104.3 (b) -149 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639, -1399, -991, -409, 353, 1301?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 0. What is the greatest common factor of 99 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.5. Let n = 1824.7 + -1825. Which is the third smallest value? (a) p (b) -3\/2 (c) 0 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + x + x)*(-4*x + 0*x + 2*x)*(78 + 24 - 56) as l*x**2 + o + z*x and give l.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -32. Is 1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.08. Which is the nearest to 2\/5? (a) 3 (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 23, 33, 45?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/65)\/((-18666)\/28548).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 0, 15 = 5*h - f + 1. Let i be (-8)\/12*1\/1. Which is the second biggest value? (a) i (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w + 124 = 0. Let a = 35 + w. Solve -c + 16 = -5*c, -a*n + 5*c = -16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592103590 by -130.\nAnswer: -4554643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -103*(-6)\/18 + 429 + -458\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/511602 and 47\/72149.\nAnswer: 5627622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 4*s**2 + 3*s - 5. Let j be v(2). Let z be (j\/(-4))\/(28\/(-112)). Sort -4, 3, 5, z in descending order.\nAnswer: 5, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 62278308*x - 1454470367753574.\nAnswer: -2*(x + 46708731)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*l - 401*l - 1118 = -182*l for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.3 and 112651?\nAnswer: -1836211.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1498 - -1496) + 1 + -18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1734 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + -0.8. Let u = o - -1.22. Let y = -0.22 + u. Sort 4, y, -0.3 in ascending order.\nAnswer: y, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3*w - 3*w. Let y(s) = -6*s**2 + s - s + 3*s**2. What is k(y(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**6 - 53612*l**3 + 380*l**2 + l + 226.\nAnswer: 1320*l**3 - 321672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 2*k + 12, -1034*s + 1030*s = 4*k + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*d + 59 + 157, -d = 2*k - 98. Let x(v) = -19*v**3 + 2*v**2 - v. Let n be x(1). Let q = d + n. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4289, 17220, 38787, 68990?\n\"Answer: 4318*y**2 - 23*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4243620, 4243579, 4243540, 4243503, 4243468, 4243435?\nAnswer: 4243404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -439.97 + 442. Let f = t - 0.03. Sort 0.25, f, -2 in descending order.\nAnswer: f, 0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -4*s, -2*v - 3*s = 20. Let g = v + 25. Is 11 a factor of g\/14*2*11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10367 + -145055\/14. Find the common denominator of 255\/(-96)*2 - 0 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 9) in base 13?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 16) to base 11.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 370*r + 1041. Calculate b(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -24*h**3 - 1413*h**2 + 173*h - 217. Give c(-59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7797952178 to the power of 1\/5, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:05 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-2)*4\/7. What is the remainder when 17 is divided by (5\/n)\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3798 = -2156*y + 1734*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -57*r. Let z(c) = -6*c - 84. Let j be z(-18). Let m(b) = j*b**2 + 18*b**2 - 47*b**2. Give a(m(l)).\nAnswer: 285*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17072818 - 9372818. Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -14. Let y(x) = 2*x**2 - 5 + 1 - h*x**2 - x**3. Let k be y(-3). Solve -3 - 32 = -5*l - 5*t, -k*l + 3*t + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttyttytttbtttt. What is prob of sequence tbyy?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68010150?\nAnswer: 2, 3, 5, 13, 34877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 - -1) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -0.140391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6183, -5999, -5791, -5547, -5255, -4903?\n\"Answer: 2*u**3 + 170*u - 6355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 206 = -4*f + 181, 3*t = -9. Solve 0 = -101*w + f*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 - -101020?\nAnswer: 22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2561*s**4 + 2*s**2 + 100*s + 5 wrt s.\nAnswer: -61464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 421, -10, -0.5 in ascending order.\nAnswer: -10, -0.5, 9, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*b**3 + 0 + 12\/5*b**2 - 3*b.\nAnswer: 3*b*(b - 1)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 592*p - 304*p - 301*p. Let s(c) = 24*c + 1. Let v(k) = 3*s(k) + 5*y(k). Let h(m) = -41*m - 17. Calculate -6*h(o) - 34*v(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 - 3*u - 1. Let y(o) = -7*o**2 - 5*o - 2. Give -8*g(b) + 5*y(b).\nAnswer: 5*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2430 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k + 9. Let q be x(0). Let l = q + 6. Solve 16 = -4*g, -i = -5*g - 1 - l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 3)*7*(-12)\/(-189). What is the nearest to -1 in 10, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 6*a**2 + a + 5. Let k be g(-6). Let w = 0 + 6. Let m be 2\/7 - w\/14. Is m <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by 415.\nAnswer: 248\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = d - 4*f, d + 4*f = -6. Suppose 3*c = 4*x + 19 + 5, 0 = -d*c + 3*x + 16. Solve -t - 3*u + c = -u, 0 = -3*t - 3*u + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:29 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - l - 4*l + 4*l. Suppose -4*p + 52 = -2*n, 2*n - n = p - 12. Let w(u) = -p + 12 + 2 - 8*u. Calculate i(w(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/18 + 61\/2. Let f = a - -140. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1 - a + 2\/3*a**3 + 0*a**2 - 1\/5*a**5 + 0*a**4. Factor s(u).\nAnswer: -(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.83 - -0.27. Let p = x + -4. Let r = p - 2. What is the smallest value in r, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -23 + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o + 24. Let x be (o\/(-4))\/((-4)\/8). Let n be (-1)\/3 + 3\/9. Sort x, 2, n in increasing order.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 - 4*q**3)*(3*q - 322*q**2 - 20*q + 324*q**2).\nAnswer: -8*q**5 + 68*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6433981 litres to millilitres.\nAnswer: 643.3981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58598 + 58626. Suppose 3*d - 105 = 63. What is the lowest common multiple of d and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac9 (base 13) to base 6.\nAnswer: 12331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 495, 484, 467, 444, 415, 380?\n\"Answer: -3*a**2 - 2*a + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3296100 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**6 - 3721*y**3 + 97*y**2 + 2*y - 10.\nAnswer: -720*y**3 - 22326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-12)\/(-8))\/3. What is the second smallest value in -3, p, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 5\/4, 5 in decreasing order.\nAnswer: 5, 5\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000079869 rounded to 7 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 + 5 = -2*n, 3*n = 5*z + 4. Suppose 0 = -3*p - 1325 - 4117. Is p\/(3 + -7 - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17099\/20 - 849. What is the common denominator of (-6)\/(-21) + (-1126)\/364 and j?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891 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 m(u) = -3*u**2 - 3*u + 2. Let a be m(1). Let h = a - -6. Suppose 5*v = 5*i + 7 + 83, -2*v - h*i = -20. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - d + 4. List the prime factors of v(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477 = -520*m - 2194 + 3917 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3, -4*r = -2*r + 5*p - 3. Let i be r\/(-14) - (-30)\/7. What are the prime factors of 8*1\/i*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -440989424 and 545619?\nAnswer: 441535043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-37)\/(n**(-6)\/(((n**(-2\/9)*n*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(437\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 3\/2*w**3 + 1\/10*w**5 + 1\/120*w**6 + 0*w + 1\/12*w**4 + 2 - 38*w**2. Calculate v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10109170.\nAnswer: 2, 5, 1010917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m + 165. Let l be b(9). Does 3 divide (-3)\/((-9)\/228) - (16 - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 18 = -33*g + 30*g, 0 = 4*g + 4*m - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*m - 103564 = 0, -6 + 9 = 3*m. Suppose -26*p = -7*p - a. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from jnvj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -16*y - 0 - 12 - 9, -2*y = 2*p - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 25*l - 30 = 0. Suppose -w = -l*w. Suppose 1\/2*u**2 + 0 + w*u - 1\/4*u**3 = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -11 - (-52 - -39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 119. Suppose -h*w = -612 - 382. Calculate the remainder when w is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.065 - -5.535. Let p = f - 6. Which is smaller: p or -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.075 (b) -0.27 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.892 - -145.818. Let y = t - -0.074. Let i = -81 + y. Sort -4, i, 37 in descending order.\nAnswer: 37, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let y be 0 + 11 - 50\/5. Let r(p) = 10*p - 4. Give y*r(x) - 5*q(x).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**20))\/a*a**(3\/11))**20 assuming a is positive.\nAnswer: a**(-4780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -6.813. Let i = q + 0.586. Round i to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 24 (b) 6\/7 (c) -2\/17 (d) -1.9 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - g + 17, -294*h + 297*h - 24*g = -29*g - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(136)\/sqrt(8) + -5 - (-5*sqrt(136) + sqrt(136))\/sqrt(8)))**2 + 5.\nAnswer: -90*sqrt(17) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372685 divided by 20?\nAnswer: 474537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 765 and 579.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from nwjtb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 23*t + 32. Calculate s(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-36)*15*-82. Suppose -13*x + 81 = -j. Calculate the highest common factor of 198 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379745029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + 380\/(-16). Is -24 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1487.3 + -1491.3. Put -4\/3, -58, c, 0.5, -5\/2 in ascending order.\nAnswer: -58, c, -5\/2, -4\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**3 + 4*w**2 - 2*w - 2. Let d be p(2). Suppose 5*i - 50 = -3*y, 2*i + 55 = 4*y - 3*i. Calculate the greatest common divisor of y and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-231)\/(-6))\/(43\/14 + -3). What is the highest common factor of 49 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 408376, 816748, 1225120, 1633492?\n\"Answer: 408372*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446679 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*b = 5, -5*b - 15 = r - 37. Let s(l) = -2*l**3 + l**2 + 2*l + 3. Is 8 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*g - 288*g - 2 - 27.\nAnswer: -2*g - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -606 - -611. Suppose 0*j = 5*j. Suppose -3*y + j + 9 = 0. What is the least common multiple of d and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**3 + v**3 - 4*v**3 + (v - 1 + 1)*(0*v + 2*v**2 + 0*v) as h*v + l*v**2 + r*v**3 + x and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/13)*i**(8\/7))\/(i**(2\/13)*i*i**(2\/23)*i) assuming i is positive.\nAnswer: i**(-2137\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618 + 1308 - 692 - 272*m.\nAnswer: -272*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33032443 - 0?\nAnswer: 33032443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 76. Let t = -0.003267 + 66.942267. Let w = t - u. Round w to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2096 and 2489?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218*q + 1232*q + 28 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.08 (b) -2\/7 (c) 2\/13 (d) 387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8748 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4043\/98640 + 19\/720. Does r = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -329 - (2 + 0). Suppose 2*t = 4*t - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in -0.06, 37, -3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + l**5 - 3*l**2 + (3 - 3 - 2*l)*(-l**4 - l**4 + 5*l**4).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.3 (c) -1\/7 (d) 4 (e) 5672 (f) 24 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.5 + -16. Let q = 1 - -1. Let w be (-2 + 4)*(-6)\/28. What is the smallest value in q, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -215, -494, -833, -1232, -1691, -2210, -2789?\n\"Answer: -30*w**2 - 189*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 - 111101101011000101?\nAnswer: -111101101011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -v - b, -5*v - 41*b - 135*b - 65*b = -51*b + 785 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-9)*12\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/10)\/(8\/20). Let x = -167 - -834\/5. What is the nearest to -0.1 in 1\/2, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/28334 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 3*x**3 + 5*x**2 + (-x**3 + 0*x**3 - x**3)*(0 + 0 + 1))*(2*x**2 - 2*x**2 + 1 + 5*x**2).\nAnswer: -25*x**5 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155444*z**3 + 93833*z**3 - 218552*z**3.\nAnswer: -280163*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124591 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(884\/(-510))*3\/(36\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 851689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -13 - -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2)*(163 - 1024 - 557 - 604 - 48 - 480).\nAnswer: 2550*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3 - -2) - 7. Calculate the remainder when -16*(-3 - (l + 3)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 13. Let n be f(-13). Suppose -o = -5, -1 = -3*z + o - n*o. Let h be z\/(90\/(-51)) - -1. Which is the closest to 0? (a) -2\/5 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 8. Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrqqrrqhrqrtqqrhq. What is prob of picking 1 t and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/7782 and 1\/14.\nAnswer: 54474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171\/17 or -2\/13?\nAnswer: 171\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92426 + -109?\nAnswer: 92318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2755 + 2760. Let h be 5 + ((-3)\/3)\/1. Solve h + 1 = -w*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2981708 and 11\/56.\nAnswer: 41743912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 6*u = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*v + 698*v - 4254 = -721*v + 842 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Let v(f) = -2*f**2 - 6*f + 4. Let p(q) = -q**2 - 3*q**2 + 5*q + 6*q**2 - 3. Let l(g) = u*p(g) + 3*v(g). Factor l(k).\nAnswer: 2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3 + 169*i**2 - 2408*i + 784 = 0.\nAnswer: 1\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 376860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34165076 to the nearest integer?\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 162*p + 0*p**2 - 3*p**3 - 161*p to m*p**2 + t*p**3 + j + l*p and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17440 + 17436. Put 7, -5, -2, c, -39 in increasing order.\nAnswer: -39, -5, c, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 - 109*x + 638. Let f be o(6). Solve -f*y + 30 = -442*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, -0.3, 0.5, -149, 2\/5 in descending order.\nAnswer: 1, 0.5, 2\/5, -0.3, -1\/2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 5*w**2. Let a(r) = -r**2 - 14*r - 9. Let z be a(-13). What are the prime factors of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525135217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 148?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 719*r + 7 - 1461*r + 729*r + 11 - 5. Determine l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -442, -1503, -3822, -8029, -14754, -24627, -38278?\n\"Answer: -105*f**3 + f**2 - 329*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 + -13)\/1)\/(-2). Suppose 3*u + 0*u - 9 = -m*g, u - 3 = -g. Sort -6, -3, u in descending order.\nAnswer: u, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-1))\/q)**(-34))**(-9) assuming q is positive.\nAnswer: q**612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063966 is divided by 1278.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/39)\/(2748\/(-916))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/45*(-450)\/180\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-8))\/((-13)\/(-936)*-30*(-459)\/2805)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -31 (b) -61 (c) 5 (d) -1 (e) -7 (f) 0.4 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*t - 5*s, 2*t + 5*s + 5 = -12. Suppose 0 = 15*b - 78 + 3. Sort b, 1, 0, t in increasing order.\nAnswer: t, 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqmq. Give prob of sequence ym.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 633750222 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.4667519748 take away 14?\nAnswer: -79.4667519748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245, 244, 243?\n\"Answer: -s + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1889825617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let y(j) = -q + 5 + 2*j**2. Let b(v) be the third derivative of -v**4\/12 - v**2. Determine y(b(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**5\/40 - i**4\/12 - 5*i**3\/3 - 5. Let w(n) be the third derivative of r(n). What is the first derivative of w(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/2 + 31*a**2\/2 + a\/2 - 31\/2 = 0. Calculate a.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 24 = -19*d. Suppose 2 = 3*o - 4*c, -c = 2*o - 3*c. Let g be ((-2)\/d)\/(o\/12). Is g != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from ixiixxpzxbbxxz?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v - 139. Let u be d(13). Let s(r) = 30*r - 59*r + u*r. Let l(k) = -205*k**2. Give l(s(t)).\nAnswer: -205*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -110*t + 1. Let n be r(-2). Suppose -5*k - x = -233, -5*k + x = -2*x - n. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2cb (base 14) to base 10\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/7))**(3\/5))**38)**(-11))**6 assuming t is positive.\nAnswer: t**(-60192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/700*-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, g: 7}. What is prob of sequence ggg?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d - 3*h, -3 = 3*d - 5*h + 9. Let x(u) = 5 + 3*u - 2 - u - 3*u. What are the prime factors of x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3267323589925\/7728 - -422790319. Let z = k + 1\/322. Calculate the common denominator of 103\/42 and z.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2.8, 0.2 in decreasing order.\nAnswer: 0.2, -2.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1186057468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbmhk. What is prob of picking 1 b, 2 h, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3*u**2 - 2*u**2 + u**2 - u + 2. Let s(o) = 10*o - 229. Let c be s(23). Give g(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8420845 to the power of 1\/2, to the nearest integer?\nAnswer: 2902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3370 - 2221. Is 77 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10) + (12 - 24 - 29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.2. Let j = 4.91 - -0.09. Sort 1\/2, p, j.\nAnswer: p, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -34, 0.2, -1\/3 in increasing order.\nAnswer: -34, -1\/3, 1\/10, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7210 not equal to 7210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 291403249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(-2*v + 2*v + 2*v + 0*v + v - 3*v + (2 + 0 - 4)*(-4*v + 4*v + v) - v + 0*v - 3*v) + 5*v - 5*v - v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1 - 1\/2*f**3 + 3\/2*f + 0*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:58 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204 - 40?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 22 + -15 - 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111100010100010001 - 0?\nAnswer: -1001111100010100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1482)\/(-30) - (-3)\/5. Suppose 0 = 3*g - 2*q - 56, -g + 3*q - 66 = -4*g. What is the highest common divisor of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-178)\/267*(21\/54)\/7.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 32 = 3*b. Is 1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 4, v: 4, i: 3, j: 1, h: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 + (-3)\/(-3). Let l be 40\/32*(-24)\/(-45) - ((-690)\/1125)\/(-1). Is y less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246393196.\nAnswer: 2, 7, 8799757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = 4*j. Let h = j - -2. Sort -2\/13, -3, h in increasing order.\nAnswer: h, -3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6632, -6631, -6630?\nAnswer: -6629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000259 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 84506.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 3 - m**3 - 4 + 5)*(4*m + m - 2*m).\nAnswer: -3*m**4 - 6*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(95) - sqrt(95)*3*1)\/(sqrt(55)\/(sqrt(66)\/sqrt(6))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/5 - 0) + 2065\/175. What is the highest common divisor of 78 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -0.05 (c) -2193\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {j: 1, f: 2, w: 1, y: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60237211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143734162489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/243*(-3)\/6*(-42)\/(-3)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -22, -37, -54?\n\"Answer: -x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 151038?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 68*h - 33*h + 7*h. Let m(t) = 13*t**2. Calculate m(i(g)).\nAnswer: 22932*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -63*d**3 - d**2 + 34*d + 33. Let h be i(-1). Solve h*u - 62*u = -4*k - 8, -3*k + u = 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (41 - (2 + -2)) + 25.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 414 = 24. Let o = c + 165. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3358795201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/775 and (42\/11160)\/(13\/(-728)*8).\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 597012\/20826*6\/4.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 - v + 1. Let k be s(1). Solve 9 = -g - k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.36. Let n = u - -5.74. What is the third smallest value in -5\/2, n, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, t: 10}. Give prob of sequence tttt.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 41344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 262?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5050 - -3?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12*-6)\/((-38)\/(-5472)*-24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 519991*a\/4 - 129998.\nAnswer: (a - 1)*(a + 519992)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-173064)\/(-36) + (-24)\/90*-10?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21058886, -1, -2?\nAnswer: 21058886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/9 and -79\/1458804.\nAnswer: 4376412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 5*z. Which is the closest to 0? (a) -2 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 13348*u + 239616.\nAnswer: 2*(u + 18)*(u + 6656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252*f**4 - 595*f**4 + 277*f**4)*(3*f - 2*f + f).\nAnswer: -132*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(5\/120*-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 27*v + 152. Determine m(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836983?\nAnswer: 7, 119569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + c - 12, -63*x - 6 = -60*x - 3*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1090430 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:31 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(54)\/(sqrt(3) - sqrt(27)))\/((sqrt(216)*3 + sqrt(54))\/sqrt(9)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4250 and 340580975.\nAnswer: 3405809750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 7*o + 5823*o**2 - 5679*o**2.\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -1\/3 (c) -3 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48554 take away -21214686?\nAnswer: 21263240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -888872 < -888887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d. Let t = d - -38. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10140 is divided by 4886?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 < -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 6) in base 13?\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/38845 and -23\/225301.\nAnswer: 1126505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 63*x - 308. Calculate d(-27).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1933a27 + 8?\nAnswer: -1933a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36 from -0.819802797433.\nAnswer: -36.819802797433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43713, -44707, -45701, -46695, -47689?\nAnswer: -48683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7363158, -14726316, -22089474, -29452632?\n\"Answer: -7363158*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 - w. Let o(m) = -8*m**2 - m. Let f = 8 - 3. Let a be (-26)\/(-4) + f\/10. Determine a*n(i) - 6*o(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -972*s**2 - 2*s - 2. Let p be d(-1). Let b = 4142 + p. Is b\/8 + (-9)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6191.514 times 15?\nAnswer: 92872.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433.9707 + -434. Let z = 0.0098 - p. Round z to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 1. Let d(l) = -30*l - 10. Let m(z) = -4*b(z) + d(z). Let x(n) = -n - 2. Let r be x(3). Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/((-1)\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n - 57*n + 8049870 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010221022 (base 3) to base 13.\nAnswer: 22250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 5. Let y be t(-2). Which is the fourth biggest value? (a) y (b) 1\/4 (c) -1\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 - 611 = -10*o. What is the highest common divisor of 116 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4471 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.1 (c) 36 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.12 + 69. Let z = -0.12 - q. What is the second biggest value in 2\/11, 6\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 24*j**3 + 288*j**2 + 17*j + 189. Give o(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -27. Suppose -5*w + 8 = -u. Suppose 0 = -w*v + 4*d + 4, 5*v + 4*d - 36 = v. Solve 0 = -2*x - v*l - 30, 0 = 3*x + 2*x + 5*l + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97058361 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d - 6 - 4 + 22*d. Determine q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176160, -704611, -1585346, -2818365, -4403668, -6341255, -8631126?\nAnswer: -11273281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -6859*v**6\/195 + 11191*v**5\/13 - 5814*v**4\/13 + 3656*v**3\/39 - 128*v**2\/13 - 7*v + 13. What is f in j(f) = 0?\nAnswer: 2\/19, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let c(b) = -745976*b + 20. What is o(c(r))?\nAnswer: -745976*r + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 4, k: 8, r: 2}. Give prob of sequence kk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. Let y = -300 - -2096\/7. Which is the second smallest value? (a) s (b) y (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -344025, -688116, -1032219, -1376340, -1720485?\n\"Answer: -j**3 - 344084*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31964\/429 - -956\/13. Calculate the common denominator of 178\/(-32)*2\/(-6) and z.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235557.\nAnswer: 2235557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 807 + -808. Which is the nearest to 1\/2? (a) n (b) -1\/3 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 290*z**2 - 149*z**2 + 335 - 140*z**2 to q*z + m*z**2 + l and give l.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 5:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(720) - (sqrt(720)*-2 + sqrt(720))))\/(-4*(sqrt(125) - sqrt(125)*1 - sqrt(125))).\nAnswer: sqrt(3)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-10)\/184) + -4. Find the second derivative of y*o - 3*o**5 - 2*o**5 - 93*o wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-166)\/415*-20*8\/(-7296)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1933, 7990, 18169, 32470, 50893, 73438?\nAnswer: 100105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = -22. Suppose 3 = 5*n + 4*i - j, -10 = -3*n - 4*i. Let y be 1 + n\/(-4 + 2). Solve 4*o + 0*o + 8 = -3*q, y*q = -4*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 87017665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7122 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*j + 458. Let x = j - -256. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 17764 - 17768 - 2*c**2.\nAnswer: -c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 31*x**2 - 2202*x - 316. Calculate u(34).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2441, -2442, -2443, -2444?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207813091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -w - 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-6))\/((-2)\/(-8)). Let z be v*((-6)\/(-2))\/12. Solve 3 + z = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161585.4 litres to millilitres.\nAnswer: 161585400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.922 - -27. Let p = -0.2237 + -0.3543. Let o = p + y. Is o less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 8*f + 1. Let q = 5822 - 5397. What is the remainder when q is divided by c(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - q - 22 = -0*q, -26 = -4*i + 5*q. Let s be -1 - -2 - (-3 + i). Suppose 5*p - 4 - 6 = s. Sort 0, 1, p in decreasing order.\nAnswer: p, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/3787 and -30\/113.\nAnswer: 427931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppffppfpgspggs. Give prob of sequence gsfp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025515779 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - 2*(-1 + sqrt(75)))*-2 + 4)*4 + -2)**2.\nAnswer: -160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 850661, -13, -7 in decreasing order.\nAnswer: 850661, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - u - u + 16, -3*u + 9 = -2*n. Solve n*x - 8 = 3*c - 26, 10 = -2*x + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2. Let m be (-2)\/3 + (4 - 24333\/(-9)). Let y(s) = m - 2707 - 6*s. Calculate y(v(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -253325434?\nAnswer: -253325435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 11*w**2 + 6*w - 6. Let t be a(11). Is 8 a factor of (-3)\/((-9)\/t) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16405 + 16410. Put -2, 1, 137, 0, p in increasing order.\nAnswer: -2, 0, 1, p, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(8316\/(-1846152))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*k - 2612, 4*k - 3*j + 2604 = 2*k. Let w = -593 - k. Calculate the highest common factor of 55 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1))\/c)**(-46)*(c*(c**0\/c*c)\/c*c)**44)\/(c**(4\/7)*c\/(c\/(c**3*c))*(c**(-3\/10)\/c)\/(c*c*c**(-3\/4))) assuming c is positive.\nAnswer: c**(12317\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:52 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2371052784 and 5424?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 424 = 5*m, 4*m - 98 = -d + 140. Calculate the lowest common multiple of d and 925.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = -8*j + 17316. Which is smaller: 440 or j?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 76399758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92470, -93232, -93994, -94756, -95518?\nAnswer: -96280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 8*z - 15. Let h be k(5). Solve -1\/3*n + h + 1\/3*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjdhdjdgrg. What is prob of sequence ghdj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/23 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-10*o - 183 - 182 + 358).\nAnswer: 30*o + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2641234, 2641243, 2641254, 2641267?\n\"Answer: j**2 + 6*j + 2641227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v - f + 56, -f = -v + 19. Suppose -243*m - 480 = -247*m. Calculate the greatest common divisor of v and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - -8) + 16 + -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(5\/(-25)*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -260, -257, -252, -245, -236, -225?\n\"Answer: s**2 - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 29 - (-77 - -92).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:58 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 221010402 (base 6) to base 2\nAnswer: 1111001000100011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*i + 840 = -1492*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 2976?\nAnswer: 35\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 808173184 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.45 times 0.02?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 - 50*w**4 - 106*w**3 - 54*w**2.\nAnswer: 2*w**2*(w - 27)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -3*g + 1440. Which is smaller: -159 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -150. Suppose 5*r + 7*n = 10*n + 38, -2*r + 36 = c*n. Calculate the lowest common multiple of 16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let f(l) = 691393*l**2. What is f(t(g))?\nAnswer: 691393*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 25*n**2 + 22*n + 20. Calculate the remainder when 221 is divided by d(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30051, 30052, 30053, 30054?\n\"Answer: b + 30050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.97 > 7.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*x + 26 = 0, 7*u - 78 = 2*u + 3*x. Let o(w) = -w**2 + 13*w - 1. Let c be o(u). Let g(z) = 16*z + 17. Let p be g(-3). Is p != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.4683 in -0.5, 4\/7, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**3 - 73*a**3 - 61*a**3 + 197*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-18))\/((24\/84)\/((-3)\/7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, 2157, 9295, 23147, 45939, 79897, 127247, 190215?\nAnswer: 271027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157276 divided by 39319.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 - 7. Let u = z + -0.5. Let q = -0.1981 + -0.1019. Which is the biggest value? (a) q (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22803, 23024, 23275, 23568, 23915, 24328, 24819?\nAnswer: 25400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in months?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*o + 0*o = 15, -2*p = 5*o + 19. Let r = p - -6. Does 2 divide (-16)\/24 - 46\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 less than or equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvpp. Give prob of picking 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0 + 1\/90*h**5 + 1\/18*h**4 + 1\/9*h**2 + 1\/9*h**3 - 3*h. Find o such that m(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285652515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 9) to base 3\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-1 + 1 + 2*f)*(2 - 154 - 155 + (-1 + 0 + 3)*(-3 + 2 - 1))*(3 - 5 - 9).\nAnswer: 13684*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 651*b + 2. Let y(d) = 650*d + 2. Determine 5*h(l) - 4*y(l).\nAnswer: 655*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-158)\/79)\/((2 + -3)\/7321) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10236013049 + -0.3891.\nAnswer: 10236013048.6109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 20 = t + 2*a, -3*t + 42 = 3*a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1070 and 22870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 150\/105 + (-2 - 0). Suppose 0 = 4*n + 3*y + 2, -n + 8 = 5*y - 0*y. Is o less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 + 2*l. Let z be b(5). Let x = -49 + z. Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/1198991 or -1?\nAnswer: -15\/1198991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 47*w - 42*w - 74549, -u - 3*w + 12427 = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/5, -0.029699, -7\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + k = -58, a + k + 1 + 9 = 0. What is the smallest common multiple of -1*(-1)\/((-3)\/a) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*t + 221*t + 59*t - 84*t.\nAnswer: 304*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 405200 (base 6) to base 2\nAnswer: 111111000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(6\/(-312)*10). Let y = -207 - -210. Put 0, u, y, -1 in increasing order.\nAnswer: -1, 0, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let y be (-8)\/12*6\/(-4). Let t = 423 + -422.5. Sort y, t, r.\nAnswer: r, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-3)*(-36)\/(-24). Let j(h) = 12*h + 170. Let d be j(q). Solve 5*u + 21 = -2*k, 4*u = d*u + 5*k + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -d - y + 15, -3*d - 4*y + 23 = 0. Suppose 0 = -d*x + 2*u - 36 - 4, 2*x = u - 17. Let b = x + 83. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**3 - 5*p + 5. Let z(b) = -3*b**3 + b**2 - 4*b + 2. Let g be z(1). Let m(n) = -5*n**3 - 4*n + 4. What is g*y(r) + 5*m(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*(-28)\/(-49) + (34929 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 26 - 38 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 882103 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 2, -2 in ascending order.\nAnswer: -2, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let k be 2\/(4\/j + 0). Let a(x) = -x + k + 3*x - 1. Let p(f) = f. Determine p(a(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -331108 times -0.0322?\nAnswer: 10661.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(108\/(-6)))\/((-2)\/(-78)). Solve -2 = n*m + 76 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, j: 10, g: 1}. What is prob of picking 1 j and 1 g?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3.022, 1, -1, 186.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*13*(-2)\/(-91))\/(266\/14)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 101*a**2 + 161*a**2 - 265*a**2.\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 55*p + 3375. Give j(-37).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/11))**(-23)*x*x\/(x*x*x**(-1\/23)*x)*x\/x**(10\/13) assuming x is positive.\nAnswer: x**(18244\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741744 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4237 in 0.2, -13, -0.307?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-4) + (-14)\/56. Let v be (4\/(-5))\/(4\/(-30)). Let o(k) = j*k - 6*k**2 + 8*k - 9*k - k**3 + v. What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -11\/360*o**6 - 7\/36*o**5 + 185*o**2 - 25\/72*o**4 + 0*o**3 + 0*o + 0 - 1\/630*o**7. Suppose q(g) = 0. Calculate g.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-132))\/((-6)\/72).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5774.\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 499*m**2 - 4. Let y(n) = 495*n**2 - 3. Calculate 3*u(a) - 4*y(a).\nAnswer: -483*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:35 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c912 (base 13) to base 9.\nAnswer: -1058584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-4 + 0 + 0)*((-u + u - u**3)*(2*u - 2 + 2) + (0*u + 2*u + 2*u)*(-3*u**3 + 2*u**2 - 2*u**2)).\nAnswer: -112*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 4*l + 508 = 48*h, 0 = 2*l + 2. What is the greatest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 - 342. What is the tens digit of (-51)\/((i + -9)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11758 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4716971252 rounded to 4 dps?\nAnswer: 0.4717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*s - 82*s - 44452. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*g + 102*g + 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3445262 and 2162.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from kkgnknggggkggngk?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -855 + 860. Suppose 5*y + 3*n - 75 = 0, -n + 17 = y - 0*y. Let d be (4\/(-10))\/(8\/y). Sort w, d, 0 in descending order.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 449 + 348. What is the remainder when f is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - 6 - (0 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 1. Let i(g) = -2*g**3 - 77*g**2 + 147*g - 2. Let w(j) = i(j) + 2*z(j). Find the second derivative of w(q) wrt q.\nAnswer: -12*q - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -100*f + 3. Let n be y(-4). Let h = 1280 - 1267. Calculate the highest common divisor of n and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + u + u**2 - u + 3*u to the form v + p*u + n*u**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-115)\/(-50) + -2)*410\/48 and 3 - 6 - (-7)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwkpvwkkwwmvwwv. Give prob of sequence mv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3074 = -8889003*l + 8888950*l for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*z = -0*z + 67, 0 = -4*o + 4*z + 188. Let c be 200\/52 + 8\/o. Suppose 7*k - 6 = c*k. Solve -l + 2 = -2, -l = -k*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/5))**(-49))**30)**(-2\/35) assuming w is positive.\nAnswer: w**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.35 - -0.35. Let v = t - -7.8. Let k be (2\/(-6))\/(-3 - -2). Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 + 20*a + 20. Let n be d(-3). Solve -n = -15*z + 43 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgwfwqwrrfwffrqrf. Give prob of sequence wrwf.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 10*k - 7. Suppose -5*m + 0*y = -2*y - 43, 3*m + 2*y - 29 = 0. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(-2*6\/756). Let h = 355 - k. List the prime factors of h.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*h - 18 = -2251*h - 4*m, 3*m + 5*m = 4*h + 11*m - 36 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2751*c*s*u - 15*c*u - 2*c - 7*u wrt s?\nAnswer: -2751*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-3 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4*i*i\/i**(3\/4)*i**(-2\/9)\/((i*i**(-3\/5)\/i)\/i) assuming i is positive.\nAnswer: i**(1193\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4243 + 4243 + 243*c)*(1 + 2 - 4) + 3*c + 2*c - 4*c - 4*c + 3*c + 3*c + (1 + 2 - 1)*(-2*c - 3 + 3) + 2*c - 3*c + 2*c + 0*c - c + 0*c.\nAnswer: -244*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/14, 17, -0.3, 2\/5, -0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841507 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12*(-12)\/27\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*u - 191 = k, -327 = -5*k - 4*u. Let d = k + -22. Let l = -7 - -12. Calculate the greatest common divisor of d and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497123?\nAnswer: 3, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014.49 rounded to the nearest ten?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.1, 1\/2, 194.559, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-13)\/(117\/6)*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3673.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697439466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p - 15*p + 178*p**2 + 2 - 2*p**4 + 0*p in the form i*p**4 + k*p**3 + v*p**2 + o + u*p and give v.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -38) + -91 - -37.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.6923 and 170.\nAnswer: 190.6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + -185.3. Let a = 3.4 + f. What is the closest to -0.3 in a, -0.05, 0, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 916904 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89585663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 0?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q. Suppose q = -y + 2*y - 4*a - 11, 12 = y - 5*a. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1066 - 1066 - 355*h)*(-34*h - 2 - 16*h + 20*h) + h**2 + 4 - 4 in the form k*h + u*h**2 + p and give k.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 601540*m**4 + 28*m**3*z**2 + 3*z**2 - 562064*z + 1 wrt m?\nAnswer: 2406160*m**3 + 84*m**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4\/3*v**2 - 4\/3*v**4 + 0 + 0*v - 10\/3*v**3 + 10\/3*v**5 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -172, -279, -404, -553?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12058474 < 12058463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 11*l + 36*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d + 2. Let o be x(-3). Suppose -5*q - 4*h + 15 = -h, 4*h = 3*q + o. Solve -2*u = -6 - q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-1 - 2) + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2 + 3*o**3 - o**2 - 10*o**2 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + 1. Let j(z) = 7*z**2. What is j(k(l))?\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e718 (base 15) in base 14?\nAnswer: -28373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 2*x = 9, 5*x - 30 = 5*a. Let h = -307\/939 - 2\/313. What is the third biggest value in -2, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 13*m**2 + 6*m**2)*(2*m**3 + 3*m**3 - 4*m**3) - 16*m**3 - 20*m**3 + 29*m**3 - 18*m**5.\nAnswer: -4*m**5 - 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16830 and 302220?\nAnswer: 56515140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x - 109. Determine a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h + 2*h)*(15*h**2 + 627*h**2 + 487*h**2 - 191*h**2).\nAnswer: -2814*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123422 and 97666.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5 - 2*a**3 - 32*a**2*c - a + 26*c + 3 wrt a?\nAnswer: -40*a**3 - 12*a - 64*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18198 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 35 = 105. Suppose 0 = -4*r + 20 + 24. Let o = r - a. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/5066 + 106331\/55726. Which is bigger: w or 2\/69?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-6)\/4 + -2). Let d = 29 + j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010749 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033934?\nAnswer: 2, 11, 46997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggghgabbrhgragbgg. Give prob of sequence gbaa.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1300221 (base 4) to base 10\nAnswer: -7209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-5 - (-6 - -10) - -9)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (27 + -20 - (2 + 4)) + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from jfqfnnqffj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-2460)\/(-80360)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041586 plus -34?\nAnswer: -33.958414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 8*h - 93 - 3*h**2 + 29 + 4*h**2. Calculate the lowest common multiple of c(18) and 9.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e (base 16) in base 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 4*r**3 - 2*r - r.\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-4)*s*s)\/s)\/s**15)\/(s**(7\/4)*s*s**(-1\/36)*s) assuming s is positive.\nAnswer: s**(-373\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11293347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 1 + 7 = 2*j, 0 = b + 3*j - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 18 = 10*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9*w + 12. Suppose 4*n - 12 = -4*l, -l + w*n = 5*n - 3. Suppose 62 = 4*k - 2*u, -l*k + 2*u = -6*k + 57. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1508, -1457, -1312, -1025, -548?\n\"Answer: 8*n**3 - n**2 - 2*n - 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 288\/99 - 9\/(-99). Let y(j) be the second derivative of 0 + 1\/3*j**4 + 3*j + 0*j**2 + 0*j**a. Let o(k) = -2*k**2. Give o(y(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15957 is divided by 15939.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 14740490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13227 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -72, -162, -288, -450, -648?\n\"Answer: -18*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/((26\/(-12))\/((-3)\/81)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -j*u = 3*u. Suppose u = -o - 4*v + 28, -4*o = -4*v - 15 + 3. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127904 less than 0.145?\nAnswer: 0.017096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 27372403*p + 1194. Let b be j(2). What is b rounded to the nearest one million?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 34. Which is the second biggest value? (a) -0.2 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 18. Let t be w(12). Find the first derivative of 10*j**2 + t - 6 + 7 wrt j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/6 - (-2)\/6. Suppose -5*i = 2*f - 4, 5*f + i = b*f + 5. Let o be 63\/1 + 3 + 41 + -44. What is the highest common divisor of o and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 24432440*d\/3 - 24432439\/3.\nAnswer: -(d - 24432439)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 116910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 4*o + 5. Let q be 101\/9 - 6\/27. Suppose -2*b = -q + 1. Is z(b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179075?\nAnswer: 3, 5, 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + p - 2*p)*(3*p - p + p) + 0*p**2 + 0*p**2 + 2*p**2 + 2*p as a*p**2 + c + m*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. Solve 0 = -u - 0 + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 37) + (-34 - (-1 - -4)) + -8\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7046\/(-1897) - (1 - 5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(2\/37)*c)*c**(-13) assuming c is positive.\nAnswer: c**(-520\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71238, 142455, 213682, 284925, 356190, 427483?\n\"Answer: y**3 - y**2 + 71213*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 9*j - 11 + 3 + 7*j - 23*j. Let d(h) = -h - 1. Let n(i) = -i**2 + 6*i - 4. Let m be n(5). Calculate m*c(a) - 6*d(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**4*t - 3*q**4 + 72*q**3*t - 4*q**2*t + 16*q + 4*t wrt q?\nAnswer: 96*q*t - 72*q + 432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -257, -357, -457, -557, -657, -757?\n\"Answer: -100*b - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 7 - 13)*(4*n - n - 2*n) + 2771*n - 5858*n + 2719*n as c + h*n and give h.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2349753088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let v = 161 - 161.3. Which is the second smallest value? (a) v (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 13*x + 6. Let z be y(-12). Let c be (2*(-2)\/z)\/((-7)\/63). Suppose 5*a + c*l = -0*l + 345, 0 = -2*a - 5*l + 117. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841700678?\nAnswer: 2, 7, 13, 491, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 230*f**2 + 2*f - 130. Is n(6) a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 2}. What is prob of sequence mrm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-4)\/(-2) - 0). Let m be (-154)\/133 + 0 + v. Let x be -3 + (10 - 3) - (0 + 4). Which is greater: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 8\/(-2))*-4. Let h = i - -1. What is the units digit of h + 2 + (-48)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19216370 and 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 6*r - i, -10*i + 7*i = 12. Calculate the greatest common divisor of 909 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**2))**(2\/17)\/((w*w\/(w*w*w\/(w*w\/(w*w**1\/w))))\/w**(-3)) assuming w is positive.\nAnswer: w**(-47\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -114735 divided by 116?\nAnswer: -114735\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29408592.3692 from 4.\nAnswer: 29408596.3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 204. Sort -5, 5, 9, p.\nAnswer: -5, p, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*x - 4 + 24, x - 3*k = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -54\/1909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 23 - 25 - 8*r - 2*r - r**2.\nAnswer: -r**2 - 11*r - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10222.\nAnswer: 2, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44655*m - 153*m**3 + 44655*m)*(2*m + 6*m - 1 + 2*m).\nAnswer: -1530*m**4 + 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770834618?\nAnswer: 2, 1307, 294887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - s - 2. Let g(l) = l**2 + l. Let a be g(-3). What is the lowest common multiple of ((-2)\/a)\/((-7)\/126) and j(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 16 = 8*k. Suppose 3*m + 4 = 4*r, 0*m + k*m = -4*r - 16. Is -4 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17b + 1?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 858573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 998237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(((-24)\/27)\/4). Solve d*t - 4*t = 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 45314 - 39 = 3*h, 0 = -h + 2. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28727 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660\/25 - 5672\/(-3545)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.7 to 0 dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5113653 by 3.\nAnswer: -1704551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 28 = 4*s, -14 = 16*s - 11*s - o. Which is the nearest to -2\/5? (a) s (b) -1 (c) 20.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(11) - 1*sqrt(11))**2 - (-1 + sqrt(44))**2).\nAnswer: -205 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/6 + 1 + (-20)\/(-60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.938475 nanometers in millimeters?\nAnswer: 0.000003938475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 3*l + 8346. Calculate the remainder when q(0) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95327851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*y - 4*y**2 + 32*y)*((-4 + 2 + 0)*(-1 + 3 - 4) + 2 + 3 - 2) to i + g*y + r*y**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21169302 to the nearest integer?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118399 = 10*r - 156991. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - 61*g + 31. Let m be u(-13). Sort m, -5, 0 in ascending order.\nAnswer: m, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 1411, 4290, 9903, 19162?\nAnswer: 32979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 27. Let q be ((-4 - -7) + 0)*-3. Is x(q) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-190)\/(-38)*16\/12*18\/240.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230.5 + -0.2.\nAnswer: 230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 8. Suppose -t - 3*t = 3*p - 32, o*t - 16 = p. Solve -p*j + 6*j - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287 and -232?\nAnswer: 66584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 - -1492\/9. Which is the closest to 0.1? (a) x (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (520\/(-14))\/(6\/(-91)) + 1. Let l = -14109\/25 + z. Suppose -k - 2*i - 9 = -4*k, -3*k + i + 6 = 0. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 4391\nAnswer: 8782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -1461, -3238, -5711, -8880, -12745?\nAnswer: -17306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 27397671*y**3 - 3*y + 27397456*y**3 - 3*y.\nAnswer: -215*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3648842 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**14*i)**(1\/9))**(-4\/5) assuming i is positive.\nAnswer: i**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1 + -1 - -6. Let m = o - 4. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 186, 181, 166, 135, 82, 1, -114, -269?\n\"Answer: -y**3 + y**2 - y + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 8*h**2. Let q(n) be the first derivative of -n**4\/4 - 3. Let r(a) = p(a) - 4*q(a). Find the third derivative of r(s) wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120100 times 0.17\nAnswer: -20417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 8, n: 2, d: 4, g: 1, a: 2, j: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160680 and -385?\nAnswer: 161065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 80*z**3 + 468*z**2 - 632*z + 84 = 0.\nAnswer: -7, 3\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -24 - (-21 - -20 - 40).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0*d**2 + 0 + 83*d + 89\/20*d**5 - 13\/12*d**4 + 1\/6*d**3. Find the third derivative of r(q) wrt q.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {x: 3, k: 1, s: 5, i: 1, w: 1, c: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 78*d**2 - 222*d + 229. Let h be i(-75). Solve -c = a + h, -127*a + 1 = 2*c - 128*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:04 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -41*o + 9. Let v be p(-3). Suppose -l = b - 5*b + 120, -4*b + v = 2*l. Let u = b + -27. Solve -20 = -5*j, -2*c - j + u = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/10)\/(1\/6). Suppose 0*r + y*s - 793 = -5*r, 149 = r + 3*s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 6*c + 2. Let v be u(6). Let k(q) = v - 1 + q - 5 + q**2. Let x be k(-3). Solve -x*g = p - 0*p - 12, -3*g + 4 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {j: 8, v: 5, t: 4, s: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.78, -4, -3 in decreasing order.\nAnswer: -3, -4, -5.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6*x + 580. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + r**2 + 3*r**2)*(3 + 3 - 5) + 0*r**2 + 3*r**2 + 0*r**2 + (-4*r + 2 - 2)*(2*r - 3*r - r) as z*r**2 + p*r + u and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4695425 months to millennia.\nAnswer: 0.000122461875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31040 + -0.12.\nAnswer: 31039.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -139. Let b(k) = k + 28. Let u be b(v). What is the greatest common factor of 468 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478.6987ns in minutes?\nAnswer: 0.000000041311645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*x - 1)*(4429 + 88 - 6393 - 9247).\nAnswer: -22246*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21120*g**2 - 2590 - 3976 - 605*g**3 + 23580*g + 86.\nAnswer: -5*(g + 36)*(11*g - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/16)\/(9249\/1208536).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -70.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108288, -217098, -325908?\n\"Answer: -108810*f + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 11*q - 3 + 8*q**2 - 2*q**2 - 3*q**4 - 11*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/70)\/(1*6\/(-20)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*z + 221. Suppose 6 = 2*b - k, 0 = 5*b + 4*k - 14 - z. Solve 3*w + 11 = v, 0*v - b*v + 22 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -2.34. Let r = -2 + d. Put 2, r, -3\/5 in descending order.\nAnswer: 2, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -203 (b) 4 (c) 0.09 (d) 18 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.1 and 0.087.\nAnswer: -2.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 69, -5, 1292?\nAnswer: 1292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 5*h + 3*h + h. Suppose 34*i - 39*i + 545 = 0. Let n(j) = i*j - 109*j - j**2 + 11*j**2. Determine t(n(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 4*l + 30. Let n be 16\/10 + l\/(-40). Let f be ((-4)\/(-16))\/((-55)\/(-40)). What is the third smallest value in n, 3\/4, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000496 rounded to six dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = 5*l - 386, -2*g - 5*l = -197. Suppose -g*k = -97*k + 565. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3501557 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.51452us to seconds.\nAnswer: 0.00005751452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -65. Let x = p - -21.7. What is the closest to -5 in 3, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -1223031003032?\nAnswer: -1223031002311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 9*f**2 + 2*f - 5. Let z(k) = -7*k + 106. Let u be z(-9). Suppose 0 = -11*c - 70 + u. Calculate v(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 59?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - -2 - (98 - 89). Solve 0 = 14*m - s + 71 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 65 - 36 - 37 - s in the form n + m*s and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 595*t + 12431. Determine i(-21).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-36)\/(-90) + 694\/(-160) and 69\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2876771 to the nearest ten thousand.\nAnswer: -2880000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-1))\/((-2898)\/69). Put t, -2\/3, -2, 12 in descending order.\nAnswer: 12, t, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.032, -0.3, 38 in decreasing order.\nAnswer: 38, 9, 0.032, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360287167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102052215243 + 0?\nAnswer: 1102052215243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 + 21?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from hhphqpqqpphpppppq.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 1 - (34 - 41)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 3. Let d = c + 8. Suppose -2*g + g + 15 = d. Solve 5*q + 2*s + 6 = g, 0 = 4*q + 2*s - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + -2*sqrt(200)*-6 + sqrt(200))*-1*3*-5.\nAnswer: 2250*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19661273*h**3 + 35910572*h**2?\nAnswer: -117967638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2033 from 0.2516.\nAnswer: 0.4549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 1 - 3*z**2 + 5*z**2 - 92*z**4 + 68*z**4 - 2*z**2 in the form b*z**3 + l*z**2 + k + n*z**4 + r*z and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -43*j + 529. What is the remainder when 1649 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -44. Let v = -21 + 23. Factor g*y**2 + 0*y**2 - 2*y**v - y**2 + y + 2.\nAnswer: -(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/557 at least 4509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urqq. Give prob of picking 1 r and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 at least as big as -360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 810\/11 (b) 2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 3*m + 4. Let q be g(3). Suppose 5*t - 20 = h, 29 = 3*t - h + 17. Solve 2*v + t*y - 20 = -0*v, 4*y - 24 = -q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from iggi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w. Let f(s) = 4 - 6 - s - 3. Let b be f(-7). Let g(o) = 5*o**2 - 2*o**b - 2*o**2. Give g(d(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412055147 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 - 510 = 5*n - 2*q, 5*n - 3*n + 55 = 3*q for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 202121?\nAnswer: 202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + sqrt(1700))*-1)**2 - ((sqrt(1088) - ((sqrt(1088) - 1*sqrt(1088) - sqrt(1088)) + -3))*3)**2) + 0.\nAnswer: -30744 - 964*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3686 by -2.\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -2219?\nAnswer: 47\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*w - 1073 - 88 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -1\/32, -2563?\nAnswer: -2563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -161, -239, -315, -389, -461, -531?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 7) to base 16\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*c**3 - 271881*c**2 - 770043456*c - 288728064.\nAnswer: -3*(c + 5664)**2*(8*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7.9. Let t = -0.9 - f. Put 0.4, t, -1 in decreasing order.\nAnswer: 0.4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8946, -6, -3, -1\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1779*o + 116. Let y(a) = -8894*a - 638. What is -11*x(b) - 2*y(b)?\nAnswer: -1781*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/15)\/(24\/(-60)). Let y(l) = l**3 + 3*l**2 - l - 1. Give y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -168, -404.\nAnswer: -404, -168, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 198567 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: Put -6, 3, 5, 1030, -120, 1 in descending order.\nAnswer: 1030, 5, 3, 1, -6, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051849709 to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 - 21*t + 22. Let i = 1024 - 1035. Calculate c(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 + 2. Let q be u(-2). Suppose 6 = 2*k + q. Suppose -g + 34 = k*o - 11, -203 = -5*g + o. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15310 is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 9*l**2 + 8*l + 8. Let y be o(-8). Suppose p - 4 = y. Calculate the remainder when 45 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 24, 1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = w + 4, -5*w - 25 = 0. Suppose -i - 8654 = -6*k + i, z*i - 1438 = -k. What are the prime factors of k?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) 0.3 (b) 4 (c) 22 (d) -319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790 a factor of 29078840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -451 + 564. Calculate the remainder when z is divided by (1 - 1) + (-29)\/(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*c - 27*c - 108*c - 10 + (8*c + c - 2*c)*(-5 + 1 + 2))*(5*c - 3*c + 2*c) as o*c + f + z*c**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7583, -7583, -7595, -7625, -7679, -7763, -7883?\n\"Answer: -k**3 + 7*k - 7589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 43 = -9*g + 4*g, 3*g - 36 = -4*v. Suppose -g = -4*w - 0. What is the common denominator of 2\/32*-23*w and 41\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495 - 486. Suppose o*j = 658 - 172. What is the highest common divisor of 36 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77528428.\nAnswer: 2, 191, 101477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 126.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, 0, -2, -5007, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -1, -2, -13, -5007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2. Let v(q) = 0*q**2 - 1306 + 2*q**2 + 1311. Determine f(v(m)).\nAnswer: -16*m**4 - 80*m**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -2 - (-26 + 24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -15. Let k(z) = -4*z**2 - 7*z + 1. Let f(r) = 3*r**2 + 6*r. Let h(t) = a*k(t) - 3*f(t). What is the lowest common multiple of 8 and h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4353.264 milligrams?\nAnswer: 0.000004353264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 1311 - 3050 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010001101010110 (base 2) to base 15.\nAnswer: 21c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22340 - 38*n**2 + 22340)*(0 + 0 + 82*n - 118*n - 94*n).\nAnswer: 4940*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 770*p**2 - 34380*p**3 - 884*p + 119*p + 34375*p**3 = 0.\nAnswer: 0, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/9)\/(l*l**(-3)*l*l)*(l*l*l**2)\/(l\/(l**0\/l)) assuming l is positive.\nAnswer: l**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -2*i**2 + 0 + 0*i - 1\/15*i**5 + 0*i**4 - 2\/3*i**3. Differentiate s(y) with respect to y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z = -12870 - 1344 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 74916672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (-1)\/(2208\/444 + -1*5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 <= 6474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 61*p + 729. Let g(v) = -4*v**2 + 61*v - 735. Let r(w) = -4*g(w) - 5*y(w). Differentiate r(c) with respect to c.\nAnswer: 12*c + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, l - 4*l - 2*u = 3. Does 4 divide (-3 - 0) + 17 - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*x - 7233*n + 7234*n, -2*n + 12 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230200 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 533*j**2 - 19340*j + 19340*j - 1.\nAnswer: -533*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*o - 10, -4*z + 41*o - 39*o = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 3*f - 2*f)*(2*f - 6*f + 0*f) + 12 - 12 + 6*f**2 as d + g*f + o*f**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w + 3. Let v(a) = 3 + 11*a - 4 + 5 + 9*a - 11. What is -7*m(y) - 3*v(y)?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/350 and -61\/980?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420544 is divided by 83467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16*l - 67. Is 41 a factor of s(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -393*f**2 + 201*f**2 + 193*f**2. Let d(s) be the third derivative of -s**4\/2 - s**2. Give d(l(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 2884598*c\/13.\nAnswer: -2*c*(c - 1442299)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180455130 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.81 + -6.81. Sort 5, -0.5, i, -0.2.\nAnswer: i, -0.5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Let p be (k + 3)*(-30)\/2. What are the prime factors of 8\/10*p\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 740*n - 19903. What is l(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 3*a. Let y(t) = t. Let v(f) = d(f) - 3*y(f). Let i(c) = -4*c**2 + 3*c. Let h(p) = 11*p**2 - 8*p. Let w(r) = 3*h(r) + 8*i(r). Give v(w(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*f**3 - 64576*f*w - 2497981*w wrt f?\nAnswer: 39*f**2 - 64576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40473.97 rounded to the nearest ten?\nAnswer: -40470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 857451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**2 + 94*k**2 - 453*k**2 + 66*k**2 + 102*k**2.\nAnswer: -111*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 14143035?\nAnswer: 14143040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(-4 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/20 - 7*n**3\/6 + 8*n**2. What is the first derivative of q(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -4, 2\/5, 4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12 - 3\/(-9). Is x bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-13) - 22 - 180\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2176) + sqrt(2176)*2 + sqrt(2176) + sqrt(2176))\/(sqrt(12)\/(sqrt(18)\/sqrt(3))) + -3 + ((sqrt(2448) + -1)*2 - sqrt(2448))*5)**2.\nAnswer: -2600*sqrt(17) + 170169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o + 25415 = -30083 - 2255. Calculate the highest common factor of o and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 1, -342, -1, -3, -27 in descending order.\nAnswer: 20, 4, 1, -1, -3, -27, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/6371 and -3\/46.\nAnswer: 12742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 58*c - 500. Let i be r(7). Solve 0 = 2*s + 4*l - 16, -9*s = -13*s + i*l + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -13, 34, 131, 296, 547?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 3*a - 2*a + (18*a - 6*a + 27*a)*(1 - 3 + 3))*(-23*a - 105*a + 12*a + (2 - 2*a - 2)*(0 + 0 - 2)) to l*a**2 + s*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*m = 18, 2*t = 5*m - 0*m + 11. Let y be (t\/12)\/((-6)\/128). Which is smaller: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 48 + 6 = 0. Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 607609661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 1, w: 1, r: 1, o: 2, e: 1}. Give prob of picking 1 k, 2 o, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v**0*(v**1*v)**(2\/69))**8 assuming v is positive.\nAnswer: v**(584\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 34*q - 7*q + 9*q + 2.\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p + 34. Let v(o) = -o - 1. Let j be v(p). Calculate the highest common factor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + 2\/4*1588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzmmzmzmzzmmzzmmzzz. What is prob of sequence zz?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a**3 - 33*a**2 - 636*a + 1287. What is i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49058665 divided by 95\nAnswer: -516407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1713 = q + 800, 5*q - 4*t = -12517. Let s be q\/(-10) + 2\/4. What is s rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q + 4*z = -6, 3*q - z = 10. Solve -3*t = 0, -2*k + q = -k + 3*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2 + (1 - 0)). Let q(v) = v**2 - 3*v. Let r(h) = 13*h - 153. What is the smallest common multiple of q(a) and r(12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14604917.8 to the nearest 1000.\nAnswer: -14605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -756, -1698, -3016, -4710, -6780, -9226?\nAnswer: -12048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2039 + -2044.3. Let j = -17 - -15.7. Let f = j - i. Which is the nearest to -0.3? (a) 0.1 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpptmmmmmpwpt. What is prob of sequence pm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 11\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75349, 150536, 225725, 300916, 376109?\nAnswer: 451304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:28 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -541270 - -779070. What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.25.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -14214?\nAnswer: 14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -20. Let t be (-6)\/x + 27\/4. Let c be (8\/t + -2)*-3. Solve 2*j - 6 = -2*o - c*j, 0 = -2*o + j + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 61 = 9*l. Let m = l - 66. What are the prime factors of m\/30 - 3676\/(-24)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.563 - 6.867. Let c = 0.13 + r. What is c rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - -7 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -2938, -6604, -11716, -18262, -26230, -35608?\nAnswer: -46384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36710, -36715, -36720?\nAnswer: -36725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399 + 2213. What is the remainder when g is divided by 596?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3625, 0, 1, 0.1, 0.0168 in ascending order.\nAnswer: 0, 2\/3625, 0.0168, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2*q**2 + 22*c**2*q - c*q**2 + 4*c*q - 27*q**2 wrt c.\nAnswer: -8*q**2 + 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18 = -3*i, 4 = 5*w - 5*i + 34. Let q be (w\/4)\/((-6)\/12). Suppose -q*p - 1 + 7 = 0. Solve -a = p - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 652 - 1770 = -137*o. What is the least common multiple of (-6)\/(-33) - (-1184)\/22 and o?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 + 17913*s**2 + 3*s + 96704.\nAnswer: -24*s + 35826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 724*v**2.\nAnswer: 4*v**2*(v - 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -20 + 12 + 1 + 9. Put -0.2, -1\/16, o, -0.01 in descending order.\nAnswer: o, -0.01, -1\/16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389166 is divided by 389166.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(15) - sqrt(15))\/(sqrt(48)*-2 - sqrt(48)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggrgggggggrggggg.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 1 + 1. Let d(j) = 26*j + 31*j + 5*j - 91*j. Calculate d(w(l)).\nAnswer: -87*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 4 - 2*i**3 + 3*i + (-i - 2*i + i)*(i**2 + i**2 - i**2).\nAnswer: -4*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**4\/6 + 11*i. Let r(j) = -2*j. What is f(r(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 7*w - 16. Let a be 2*1 - 4\/(16\/(-28)). Let j be q(a). Let m be (j\/7 - 170\/105)*-3. Solve -2*c + 0*c = -m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*(16 - 7). Let f(w) = 0*w + 3*w + o*w**2 - 1 - w. Calculate the least common multiple of 3 and f(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8359555, -16719112, -25078669, -33438226?\n\"Answer: -8359557*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10660245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 151600 divided by 37900?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:35 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34269 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -23*d + 12*d. Solve 4*a = 3*o + 2, 4*o = 4*a - d*a - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(0*d**2 + 6*d**2 - 7*d**2).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/88 - 3\/8. Let b = 5443 - 5442. What is the nearest to -1 in b, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -31. Let s = -21 + d. Solve -3*c + 9 = -3*z, 3*c - 6*c + s = -4*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 75 - 435 = 0. Let f = w + 110. Calculate the highest common divisor of 50 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 + -303. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344472 and 15540?\nAnswer: 446091240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Sort -4, x, 2 in descending order.\nAnswer: 2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcp when three letters picked without replacement from oxxcohxhoopxoxoo?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 3*w**5\/40 - 3*w**4\/4 + 9*w**3\/4 - w - 39. Factor m(p).\nAnswer: 3*p*(p - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.58818mm to centimeters.\nAnswer: 2.058818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 46. Let n be b(20). Let x(w) = -10*w - 44. Let v be x(n). Solve 2*g + 2*g = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssbbssssbsbsbbss. Give prob of sequence ss.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106233462*k**2 + 3*k - 462888549 wrt k.\nAnswer: -212466924*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 3. Let l(f) be the first derivative of 2*f**3\/3 + f - 16. Let i(p) = 3*b(p) - 7*l(p). Differentiate i(s) wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/65 and 62\/100425?\nAnswer: 100425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a2 - -197?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = 44 - 44 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-7) - 188352\/(-3024). Is 2\/27 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-17 + 44)) + 36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*y = j - 407, 3*j = -y + 315. What is the remainder when 403 is divided by j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 2*g - 5. Let u(o) = -6*o**2 + 3*o + 6. Let r(l) = -4*s(l) - 3*u(l). What is r(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 + 93*z**4 - 5427*z**3 + 20607*z**2 - 25320*z + 10044 = 0.\nAnswer: -62, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 + 183. Solve -12 = -2*j + 4*x - i*x, x = 4*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208465*o*z - 103808*z wrt o.\nAnswer: -208465*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1861 + 2056. Calculate the greatest common divisor of f and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -0.75.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*v**3 + 0*v + 0*v.\nAnswer: 171*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 649*o - 396 wrt o.\nAnswer: 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255.536 + 255.4. Suppose 180*o = 182*o. Are h and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 146*d + 1492. Calculate h(-82).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*a = 16, -3*i + 5*a = 2*i - 30. Let l(x) = -5*x**3 + 6*x**2 + 4*x + 3. Let y(r) = r**3 - r**2 - r - 1. Give i*y(h) + l(h).\nAnswer: -h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 466 - 613. Let g = k + 266. List the prime factors of g.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42844 divided by 42844\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 96 = -15*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*w - 13, 2*k - 12 - 10 = -4*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 5 = -5*n, 3*f + 5*n = -3162. Is f at most -1044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437557073 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 4, d: 1, i: 1}. What is prob of sequence dm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 0 + 1 - 7*u + 0 + 4*u + 2*u**4 as c*u + z*u**2 + l*u**4 + g + y*u**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 362, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 - 5*b + 10. Let y be j(7). Suppose u - y = -u. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 1 + 1 + 4 - 5 + q. Let b be g(2). Let y(c) = -2*c**3 + 3*c**2 - c - 3. Let j(w) = w**3 - w**2 - w + 1. Calculate b*y(x) - 3*j(x).\nAnswer: -x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24408299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55719789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3053.\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t - 34. Let f(g) = 3*g - 11. Determine -11*f(m) + 4*n(m).\nAnswer: -m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 5:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1065 + -709. Calculate the least common multiple of 445 and r.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d - 4. Let y be w(-2). Suppose 2*c + 6 = 2*m - y*c, 4*m = -5*c + 3. Solve -m*v + 6 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/20)\/((-38)\/(-76))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1374)\/(-42) + 4\/14. Suppose -o = 3*m - 213. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/16)*m))\/m**(-2\/9)*(m**3\/m*m)**47 assuming m is positive.\nAnswer: m**(20165\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 - 118 + 0*h - 94 + 0*h + 2*h**2.\nAnswer: 2*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 75 = -0*a + g, 2*g = -a - 30. Let m be 4\/(-2) + (-18 - a). Suppose -2*z + 6 = -5*f, 2*f - 14 = 5*z + m*f. Let l(k) = 2*k**2 + 3*k + 1. Give l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/84*-702 - 2\/14. Suppose -t = -4*a - j - 42, -j + 11 = 5*a. Solve 3*x = p - 16, x + a*x - p = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + 707\/21. Suppose -4*s + 5*o + 0*o = -23, t = 4*s + 5*o. Calculate the least common multiple of 10 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -1, -18, 116999 in decreasing order.\nAnswer: 116999, 0, -1, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33079618, -66159236, -99238854, -132318472, -165398090, -198477708?\n\"Answer: -33079618*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**3 - 394*o**2 + 87*o + 548. What is l(49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzqppqqzqzqqz. Give prob of sequence pp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:56 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*n + 0 - 2\/3*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 - 2. Let p be a(-2). What is the third derivative of 7*f**2 + 0*f**2 + 5*f**6 - f**6 - f**p wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242480904 to the nearest integer?\nAnswer: 15572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - 21*s - 1. Let c(a) = 8*a**2 + 43*a + 3. Let j(l) = -6*c(l) - 13*w(l). Is j(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2320516946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -61. Is (87\/k)\/(11\/1034) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(17\/4)\/h*h)**29*(h**(2\/101))**(-6\/5))**(-2\/49) assuming h is positive.\nAnswer: h**(-248917\/49490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127155331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and 11\/265242.\nAnswer: 2121936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {m: 2, x: 2, w: 3, d: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1086 + 1087. Let y(z) = -z. Let k(q) = q - 1. Give n*k(h) - 6*y(h).\nAnswer: 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y + 10. Let r be c(-3). Let x = 3 - 2. Is x less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-4*sqrt(9)*1))\/(sqrt(20)\/((sqrt(250) - sqrt(10))*-5)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1226*t**2 + 82*t + 225. Is q(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323801.77 + -199.22\nAnswer: -324000.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -99. Suppose 13*p - 3397 + 1044 = y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -23*r**6\/15 - 73*r**2 + 49*r. What is the first derivative of l(p) wrt p?\nAnswer: -184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 598685625 and -30.47.\nAnswer: 598685594.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 36. Suppose -4*h - 3*n + m = 0, -h - 4*n - 7 = -0*n. Suppose -h*p + 2*l = -68, p - 4 = -2*l - 0. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + -30 - (-1 + 1)) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmmammmmmmmmmmm?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88425 and 76635?\nAnswer: 1149525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 118*f + 1183. Let l be r(-10). Solve -6 = -4*c + t, -2*t = 5*c - l + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 22*g - 123. Calculate j(-26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -0.8 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-289)\/34 - ((-8)\/20 - 0) and -71\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 - 12*g - 10. Suppose 0 = 2*u + 2*y, 4*y = -u - y - 8. Suppose 4*t = -u*t + 60. Is n(t) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.4. Let o be 5\/75*5 + (2 - 3). What is the nearest to 0 in 1\/4, l, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -0.39?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200 + -128. What is the greatest common factor of 54 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 4332.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2060 - 3?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -119. Which is the closest to f? (a) -6\/7 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + w = 16, -10*w = -4*c - 6*w - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6048 and 326916.\nAnswer: 18307296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 767*n - 588289\/2 - 1\/2*n**2.\nAnswer: -(n - 767)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -5*y**3\/3 + 5*y**2 - y - 6. Let m be t(1). Suppose 0*i - 23 = -i - o, i - o - 17 = m. Solve -2*z = -7*z - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2148\/7, 1, 8\/7 in descending order.\nAnswer: 8\/7, 1, -2148\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 21. What is the remainder when 2 - -2 - (4 - 26) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 0.4 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 h, and 1 a when four letters picked without replacement from dbbpbbbbhhbbbbabdh.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*i**5 + i**4*t + 34*i*t + 2*i + 3*t wrt i?\nAnswer: -1460*i**3 + 12*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19925327629 take away 4?\nAnswer: -2.80074672371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 4*z**3 + 6*z**3 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 206*k + 420.\nAnswer: -2*(k - 2)*(k + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -1.2. Let d = m + -0.37. Let t = d - 0.3. Which is the second biggest value? (a) t (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6.4. Let i = q - -4. What is the third smallest value in -0.2, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 16. Let t(h) = -2*h**2 + 11*h - 11. Let f(d) = d**2 - 4*d + 4. Let q(j) = -11*f(j) - 4*t(j). Give q(m(a)).\nAnswer: -3*a**4 + 96*a**2 - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71785 and 75135455?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z + 25 = 0. Let 5*o - 2*o**2 - z*o**3 - 6*o**2 - 2*o**2 - 4 + 14 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395010742 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 94*j - 4. Let o(s) = -s - 4. Determine o(q(t)).\nAnswer: -94*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254 = -699*v - 8532 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(5\/3 - 2). Let n be 1 - ((-1)\/v + 80\/224). What is the smallest value in n, 10, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/2))\/(b\/(b*b*(b*b\/(b**(-4)\/b))\/b*b*b))*b**(-17\/3)*b*b*b\/b**28 assuming b is positive.\nAnswer: b**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from qqqjqddqqjqdjjjd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 45.9. Let a = 1.1 + k. Let w = 0.8 + a. Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -656 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3464497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/10)*p*p)\/p**(-2\/21)*p**(-2\/3)\/p**(-3)*p**(2\/5)\/(p*p**5)*p**(1\/7)\/p**(4\/11) assuming p is positive.\nAnswer: p**(-379\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 5*b. Let t(o) = -o - 16. Let l be t(0). Let q be 18\/(-5) + l\/40. Calculate the least common multiple of c(q) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 43) + (309 - 201)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.45 * -0.2\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = -5*j, -3*j + 2*j = -3*b + 8. Suppose b*v = -5*l + 73, 6*v - 3*v - 62 = 2*l. Let h = v - -19. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 6. Let b(a) = -2. Let o(z) = -6*b(z) - 2*q(z). Let l(t) be the second derivative of 2*t + 0 + 0*t**2 + 1\/3*t**3. Determine l(o(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 7\/24*u**4 + 3\/4*u**3 + 1\/2*u**2 + 0 - 3*u. Determine z so that p(z) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 4*a + 6*m + 21, 0 = -3*a - 4*m + 8. Let n(g) = -15*g**3 - 7*g**2 - g + 7. What is the hundreds digit of n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -55\/58?\nAnswer: -55\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + z)*(5072 + 54*z - 5072) + z - z - z**2 + 2*z**2 - 2*z**2 - 2*z**2.\nAnswer: -273*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50464 and 29922496.\nAnswer: 568527424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6 - 7*f**3\/3 + 4. Find the third derivative of n(r) wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 892901*x + 154796 wrt x.\nAnswer: 892901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 327 = 3*c. Suppose -3*o + 43 + 38 = 3*l, 3*l - c = -4*o. Suppose -p + 2 = -o. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((16 - 31) + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 5*i + 2. Let j be z(-5). Suppose -4*p - 2*r + 30 = 0, j*r + 34 = 2*p + 4. What is the highest common divisor of p and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-14277948\nAnswer: -7138974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)*h)\/((h*(h\/(h*h**(4\/3)))\/h)\/h))**40 assuming h is positive.\nAnswer: h**(2560\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = z + 78. Let i(o) be the third derivative of -7\/60*o**5 + 0*o**3 + 0 + o**z + 0*o**4 + 0*o. Let f(x) = -2*x. Give i(f(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5850326?\nAnswer: 2, 23, 89, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(1976\/(-285))\/26.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/4)\/((-6)\/8). Suppose 0 = -5*j - q, g + 4*g - 4*j - 23 = 0. Let 3*b**4 - 2*b**2 + 2*b + 4*b**4 - 5*b**4 - 2*b**g = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2784, 11118, 25004, 44442, 69432, 99974, 136068?\nAnswer: 177714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 - 198*z**2\/5 - 204*z\/5 + 80 = 0. Calculate z.\nAnswer: -2, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34912.58947 and 0.04.\nAnswer: -34912.54947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m**3*t**3 - 6*m**3*t - 3*m**2*t**3 + 88*m*t**3 + 16*t**3 - 1534327*t**2 wrt t.\nAnswer: 66*m**3 - 18*m**2 + 528*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 378957 and 377395 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 890 - 894.87. Let m = 2.13 - w. Sort -1\/5, m, -0.09.\nAnswer: -1\/5, -0.09, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*((-4 - -3) + 0). What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55577 or 3110?\nAnswer: 55577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*c + 94*c - 30*c - 31*c - 33*c + 23*c - 116*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5471757 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 26)*4\/(-3) + 3. Let d(a) = 3*a - 16. Let h be d(13). Calculate the highest common factor of h and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d + 8*d - 53*d - 45*d - 4*d**2 to z*d**2 + i*d + q and give i.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7953355588.\nAnswer: 2, 661, 3008077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/32636 and 937 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 130 = 5*q. Let l = q + -19. Suppose 12*v - 105 = l*v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 2, h: 2, f: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -890 + 677.6. Round b to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 8. Let c = 92 + -830\/9. Sort c, 5, j.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -5*w - 5*b, 4*w + 34*b - 29*b + 150 = 0. What is the closest to -0.1 in -3\/5, 3, w, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4416.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813225820 by -220.\nAnswer: 3696481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1164 - -1982. Is g a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 215, -1, 34, -15, 1 in ascending order.\nAnswer: -15, -1, 1, 4, 5, 34, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 2*o**3 - 3*o + 20 + 5*o + 17*o**4 - 26*o**4 to the form l*o**4 + z*o**3 + d*o**2 + b + i*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2628\/65, 4, 1288\/11, 5 in increasing order.\nAnswer: -2628\/65, 4, 5, 1288\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6088341, 6088339, 6088337, 6088335, 6088333, 6088331?\nAnswer: 6088329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 148825909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -410.26828 to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 54. Let g be 110\/(-156) - (-48)\/y. Let z = g - 6\/13. Which is the nearest to z? (a) 2\/3 (b) -6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 10. Let w = c + 17. What is the nearest to 1 in -4\/5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3933 - 3926. Let l be 9\/(-6)*(-16)\/2. Suppose l = q*c - c. What is the highest common factor of 3 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/47916 and 23\/99.\nAnswer: 47916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-658 - 3*h**4 + 19*h**2 + 322 + 331) as d*h + c*h**4 + f*h**3 + m*h**2 + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 653 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10)\/3 - (-599)\/5. Calculate the highest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from vetemqvq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5 (b) 11 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-94)\/7 - -14)*1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7729 and 472.\nAnswer: 61832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from qzzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*z**5 - 164*z**4 - 19133*z**2?\nAnswer: -11700*z**2 - 3936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/11 + 7*v**3\/11 + 15*v**2\/11 + 9*v\/11.\nAnswer: v*(v + 1)*(v + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30950, 70953, 110956?\nAnswer: 150959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4354 from -485509.\nAnswer: -489863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 20069.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121a01 (base 13) in base 2?\nAnswer: -1101001100010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -1345544, -7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, 2\/5, -0.3 in ascending order.\nAnswer: -0.3, -0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4 - 20*i**3 - 1 + 19*i**3. Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2113*c**2 + 10957*c**2 + 3702*c**2 + 8311*c**2 to v*c**2 + p*c + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-11 - -6) + (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-9)\/(-2 + 5). Suppose -5*n = -y + 15, -g*n - y - 33 = -8. What is the closest to 1 in -3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjwwwlnwjjnljjbnlvjl. Give prob of picking 2 j and 1 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/(-6) - 4\/(-12). Let d be (-1)\/(6\/v)*4. What is the greatest common divisor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 30*a = c + 22, -3*c - 22 = 4*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3127 (base 12) to base 9\nAnswer: 7314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:41 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -5.18464075656?\nAnswer: 5.08464075656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4733363\/28 - 169049. Find the common denominator of 0\/(-1) - (-61)\/20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*c - 39, -4*c + 2*c = -5*t + 2. Solve -7 = -c*d - 52 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1568440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((-135)\/18)*77. Let y = x - -317. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301412 (base 6) to base 10\nAnswer: 23696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*q + 79, -4*m - 5*q + q = 268. Let l be m\/36 - (-4)\/(-18). Which is the smallest value? (a) 0 (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 43 = 6*t. Is 6300\/2 + 10\/60*t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**6\/18 - 7*b**5\/12 - 25*b**4\/12 - 5*b**3\/2 - 7*b + 9. Let m(v) be the first derivative of n(v). Factor m(x).\nAnswer: -5*x*(x + 1)*(x + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448714976.\nAnswer: 2, 1123, 68141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**5\/7 - 723417*y**4\/7 + 16355983475*y**3\/7 - 83805867471*y**2\/7 + 10220172605*y\/7 = 0. Calculate y.\nAnswer: 0, 1\/8, 5, 45211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -60033342 (base 8) to base 12\nAnswer: -4275aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 2*c + 51)*(0 + 1 + 0)*(-3*c - 3 + 3) - 2 + 4*c**2 + 2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37203260 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: Let p(y) = -y**3 + 173*y**2 + 767*y - 10997. Calculate p(177).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 78, 67, 42, -3, -74, -177, -318?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2822 by 2.\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3*n - 3)*(3*n - n + 0*n) + 6 - 6 + n**2)*((2*n + 2 - 2)*(15 + 10 + 11) + 3 - 3 + 12*n) to the form j*n + t*n**2 + o + b*n**3 and give b.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1509480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 9*j**2 + 9*j + 8. Let q be v(8). Let k be 4\/q + 3\/(-12). Calculate the remainder when 36 is divided by (-2 - k)*(-133)\/14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4220740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5605358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 6*t - 7*t)*(15 + 180*t - 195*t - 14).\nAnswer: 165*t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12250 = 5*g, 86*l = 88*l + 4*g - 4890. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 15*t = 750, 62*m - 53*m + 55*t - 54*t = 50 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-6)*120\/(-12540).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/21 + (-299)\/273)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71402 is divided by 294?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33165911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q - 1. Let a(g) be the second derivative of 3 + 0*g**2 + 47*g - 7\/6*g**3. What is h(a(p))?\nAnswer: 91*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (4 + -3))*(-718)\/(-10). Let s be (3 - (-72)\/1) + -2. Let x = t + s. Which is bigger: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 14222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose 20 + 73 = 5*y - b, 0 = 3*y + 2*b - 48. Solve w*c = -3*q - y, c + 11 = q - 3*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-135))\/(4\/(-10)))\/(7\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 1 + 1)*(-9 + 1 + 13) + b - 3*b - b + (4 - 2*b - 4)*(3 + 1 - 2).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 2344122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3))**2 + 3 - (sqrt(2) + 1)*6)*-1.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73825, -73824, -73823, -73822, -73821, -73820?\n\"Answer: j - 73826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*g - 0*g - 4, 5*y = -g + 1. Let r = 31.5 - 62.5. Let l = 30.6 + r. Which is the closest to -1? (a) l (b) y (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.13, 4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4243 (base 5) to base 9.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 33 = -4*o, -3*o = 23*d - 26*d + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*v + 2*v - 4*y, -4*v - y + 59 = 0. Let t = -15 + v. Find the third derivative of t*z**2 + 6*z**5 - 7*z**2 + z**2 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1150)\/25 + 3 - -7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -11. Let q be (1 + i\/(-6))*0. Suppose -3*s = -3*c - 120, q*s - 77 = -2*s + c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -11. Suppose -c + q = -6*c + 37, 3 = -q. Suppose i = c*b - 7*b + 9. Put b, 1, 2 in increasing order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345501.254 rounded to the nearest one hundred?\nAnswer: -345500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 12*u**2 + 12*u**2 - 30*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let n be 6\/3 + 8*1. Suppose 6*u - u = n. Let a(l) = -l**2 - l**2 + l**u. Calculate v(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245 or -1\/14?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3268)\/86*6\/(-57). Solve 24*h - 26*h + u = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a + 2. Let j be g(3). Let m(h) = -h**2 - 2*h. Let o(v) = 1. Let n(b) = j*m(b) + 3*o(b). Determine n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -0.3 (c) -0.1222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10221 - 9423. Calculate the greatest common factor of m and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46875 + -46843.0285. Let d = c + -32. What is d rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.202 + -149. What is h rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*s - 2219*s = 430*s - 21056 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 + 12 = 0, h + 2 = o. Let m = -281 - -282. Sort m, -3, o, -17.\nAnswer: -17, -3, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -211. Calculate the remainder when p is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -432*h - 6886. Calculate q(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {a: 1, q: 2, e: 2, b: 5, m: 5, d: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Suppose -y*g = 20 - 68. What is the highest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/10 - 51*k**2\/5 - 90*k + 220 = 0?\nAnswer: -10, 2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -2, 2\/11, 0.045?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 4*z = -183 - 127, -117*u + 125*u - 181 = -7*z + 6*z for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9990 + 17209. List the prime factors of l.\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123804 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2548 - 123*v + 2548)*(v - v - v) to the form q*v**2 + u + l*v and give q.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231152974.\nAnswer: 2, 7, 17, 13576273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 5*m**2 + 5*m**2 - 8 - 11*m**2 - 10*m. Let v be f(-6). Suppose -l + v = -32. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 4*r + 4. Let g(y) = -3*y**2 + 9*y + 9. Let z(t) = -5*f(t) + 3*g(t). Let c be z(-6). Let v = 4 + -8. Put v, 0, c in decreasing order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(1377))**2 + (4*sqrt(1377) + -3)**2 + ((1*sqrt(1377) - sqrt(1377)) + -3)**2 + -3 + 1 + -2.\nAnswer: -144*sqrt(17) + 23439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -381e442?\nAnswer: -381e43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119.21 + -114.3. Let m = g + 0.09. Let v = 89 - 891\/10. What is the second smallest value in m, v, 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -411*v**2 - 6172*v - 21. Give t(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 26 = -6*a + n, 385 - 417 = 2*n - 6*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9173 in -5, 0.1, -4\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/18)\/(1\/(-12)). Let s(l) = -156*l**2 - l - 4. Let b(k) = -155*k**2 - k - 5. Let v(j) = c*b(j) - 5*s(j). Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.99 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 19*g**4\/6 - 112*g**3\/9 - 4*g**2\/3 + 88*g - 2. Find x such that p(x) = 0.\nAnswer: -2\/57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - 3 + 3 + (-3*w**3 - 4 + 4)*(w - 2*w - w) - 90*w**4 - 2*w + 7092 - 7096 - 2*w**4.\nAnswer: -87*w**4 - 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4 + 4)*(l**3 - 8*l**3 + 0*l**3) - 2 + 3*l**5 + 2.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1260304507 + 5\nAnswer: -1260304502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 + -49190227.722.\nAnswer: -49190226.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l + 39. Let m(s) = s - 6. Let p(g) = 3*g - 21. Let a(c) = 7*m(c) - 2*p(c). Calculate b(a(q)).\nAnswer: -29*q + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64978 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xinn when four letters picked without replacement from nxxxxnnxxixnnnnnnnx?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 265.86 + -263.86. Which is the closest to -1\/2? (a) -21\/19 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*(d*d**(-23))\/d*d)\/((d\/(d\/(d*d**(-5\/6)*d)*d)*d)\/d)**(-12))**20 assuming d is positive.\nAnswer: d**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33330\/700 - (-12144)\/(-253) - -1*(-1)\/(-10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -160559 and -0.027.\nAnswer: 4335.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + 3*s - 4. Let i be (-2 + 1)*(0\/(-1) + -5). Determine d(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/2 in 0.3, 0.1, -1\/5, -2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.5, 0.18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + f + 1. Let r be v(-1). Suppose 6*m - 4*j = 86, 54*m - j + 28 = 57*m. Suppose g + 4 = 2*g. Solve -m + 56 = -r*o + 5*l, o + g*l = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a**3 - 5*a**2 - 3*a - 3. Let w be p(-3). Let x be 350\/30 - (-2)\/(-3). Suppose -6*h + x*h = w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 13*o + 157 = 3*c, -2*c + 33 = o. Calculate the remainder when 425 is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n**2 + 7*n**2 - 3*n**2. Let t(h) = 106*h - 16. Let q(c) = -20*c + 3. Let f(v) = -16*q(v) - 3*t(v). What is y(f(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*12)\/(-3 + 5). Suppose -5*n - 26 = q, 7*q - 9*q - 2*n = h. What is the common denominator of (-103)\/7*q*14\/60 and 71\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 196\/51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 23 - 11, -2*k - 2*x = -6178. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -229, -459, -689?\n\"Answer: -230*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxxskfksskknkxskkxf. What is prob of sequence kxn?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.71 * -0.071454.\nAnswer: -0.76527234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 92267 = -547124. Suppose t = 6*x - 55089. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from twwiiwwtwwcfwfwcfww.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19)**(-11)*(g*g\/(g\/(g**25*g*g)))**(-2\/21) assuming g is positive.\nAnswer: g**(-635\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s + 2. Let n be o(-2). Let h = n + 7. Let x be 2009 + -1 + 3 + h. Round x to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/240 - w**5\/60 + w**4\/48 - 10*w**2. Find m such that h(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14216 + 39149. Suppose -p + 4*p - t = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1510\/149 or 0.3?\nAnswer: -1510\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10303270558 - 34.2.\nAnswer: 10303270523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g - 3*k = 104*g - 107, 2*k = -12. Calculate the remainder when 279 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s**2 + 136 - 135 - 64*s**2 - 87*s**2 to the form q + h*s**2 + f*s and give h.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -25, 3*n + 5 - 17 = -3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2885 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*d**2 + 20*d**2 + 10672200 - 63*d**2 + 6328*d + 2912*d.\nAnswer: 2*(d + 2310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157417, -157409, -157387, -157345, -157277, -157177, -157039?\nAnswer: -156857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 2*s + 1. Let c(b) = -8*b**2 + 9*b + 5. What is -2*c(w) + 9*f(w)?\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 9, m: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(576)\/((sqrt(84)*-1)\/sqrt(7))*-5 + (sqrt(432) + sqrt(432) + -2*sqrt(432)*-2)\/sqrt(9) + -3.\nAnswer: -3 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 3*n - 2*n)*(-2*n + 2*n + n) - 301*n**2 + 299*n**2 - 29 + n - n to s + g*n + i*n**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71512005*z**3 + 1848*z**2 + 19*z + 116 wrt z.\nAnswer: 429072030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148948507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n + 18. Let v(k) = k**3 + 4*k**2 + 9. Let q be v(-4). Let y = q + n. Solve p = -y*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 - 189 - 43*y + (3 - 3 + 2)*(y + 3*y - 3*y) to r + g*y and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. Let s = r + 6. What is the closest to s in 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -56137412945.8 and -1.\nAnswer: -56137412946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -n + 4*s + 13, 28 = n + 5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11855751 a multiple of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.0311 to two dps.\nAnswer: 15.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -88. Let r be (-9)\/((-135)\/d) + (-556)\/(-40). Is 15 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -118, -224, -360, -526?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, i: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 25*u**2 + 5*u - 21. Calculate y(-25).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28250\/7 + 116\/406. Let r = o - 2756. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.09? (a) -0.1 (b) 2\/27 (c) -46 (d) -0.2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) 5 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -51711?\nAnswer: 51733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**3 - z**2 - 2*z - 1. Let d be l(-1). Let w be -3 + 1*(-36)\/d. Put -5, 4, w in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)\/(-1) + 2*1. Let y be ((3 - 6)\/g)\/1*-1. Let m(f) = 52*f + 1. Calculate the smallest common multiple of 5 and m(y).\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -587 - -971. What is the hundreds digit of n\/(((-3)\/14)\/(15\/(-20)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k - 6*k - k**3 + 2*k - 3*k + 8*k**2 + 1. Give w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s**4 - 2*s**3 + s**3 + 2 + 2*s - s - 32*s**4 + 3*s**2 in the form g*s**2 + i*s**4 + z + u*s**3 + m*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - i = 15*r + 5, -3*i - 9 = 0. Calculate the highest common divisor of r and 1142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -19*b - 83 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:35 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 + 11*a**2\/2 - 5*a + 86. Calculate c(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzffffzffffffff. What is prob of sequence ff?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -613274 divided by -48?\nAnswer: 306637\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*a = -0*m - 18, -10 = 5*m + 5*a. Suppose 12*i - 126 = -m*i. Calculate the remainder when 25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -16 + 47 - 42\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19933?\nAnswer: 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1358.911l to millilitres.\nAnswer: 1358911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278569571 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s - 2. Suppose -3*l + 2*f - 9 = 0, 2*l = -3*l - 3*f - 15. Let o be a(l). Suppose o = -3*k + 7*k. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.9, -0.2, 31, -17, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o + 73. Determine y(-13).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111432295 rounded to 5 dps?\nAnswer: -0.01114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1119875138*n**2 + 20350180*n + 92450 = 0. What is n?\nAnswer: -215\/23663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 3. Let k be m(1). Solve k*a - 4*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 62?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*11*15\/275?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 831872 to the power of 1\/2, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26630 is divided by 605?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 21834.\nAnswer: 218340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 372 = -274 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -353, -2, 6 in descending order.\nAnswer: 6, -1, -2, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 9*x - 10*x. Let s(k) be the third derivative of -k**3 + 5\/8*k**4 + x*k - 1\/5*k**5 + 1\/40*k**6 + 0 + 14*k**2. Let s(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2262687*-0.18.\nAnswer: -407283.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let o(f) be the first derivative of -15\/2*f**2 - 24 + 0*f. Give y(o(s)).\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519*r - 75 = 1534*r. Let h(t) = 5*t**2 - 11 - 4*t + t**3 + 11. Determine h(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 q when four letters picked without replacement from {w: 5, a: 4, q: 5}?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.7122436 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31274820 and 10424940.\nAnswer: 31274820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*n + 4 + 16 = 0, -3*c - 40 = 5*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2 + 4. Let i(y) = -37*y**2 - 11. Let n(m) = -4*i(m) - 11*l(m). Let r(v) be the third derivative of -v**5\/30 + v**2. What is r(n(t))?\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, v: 2}. What is prob of picking 2 v and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + -2 - (105 - -3). Let p be (-68)\/c + 2\/(-4). Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12 - 42*q**2 + 12. Let k(b) be the second derivative of b**6\/360 + 5*b**4\/6 - 16*b. Let r(c) be the third derivative of k(c). What is z(r(p))?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 62 + 54 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x - 2. Let z be s(-2). Let w = 6 - z. Let j(f) = -2*f - 6. Is 6 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*z + 1723, -z - 145 = -2*u + 197. Let q = z - -347. Solve -q*p - 6*g + g = -27, -5*p + 35 = 5*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*q**3 + 3*q + 47*q**3 - 97*q**3 + (2*q**2 - 2*q**2 + q**2)*(-2*q - 1 + 1).\nAnswer: 14*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12997158737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 12*z - 18*z)*(-z**3 - z**2 - 11*z + z**2).\nAnswer: z**4 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14691\/70 + 1069\/5. Find the common denominator of 75\/1106 and j.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21016 - 20964. What is the highest common factor of 25532 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97306.51 millilitres in litres?\nAnswer: 97.30651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 + 2198236*h**2 + 17222121?\nAnswer: -6*h**2 + 4396472*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-1 - -11) + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + 0.26. Let l = 5.2 - p. What is l rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*o**2 + 13332*o + 5481.\nAnswer: 3*(o + 261)*(17*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10252562 is divided by 1593?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.74 - 0.26. Let g = -12 - l. Let v = 4.999997 - g. What is v rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 33*h - 1214. What is w(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -3. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 w when four letters picked without replacement from {l: 7, u: 3, c: 3, w: 2, k: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025012 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -65 + (-24)\/4. Let h = v - -81. Suppose x + x = -q + 8, -x + 4 = 4*q. Calculate the highest common divisor of x and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 18355?\nAnswer: 18343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43315 (base 11) to base 14\nAnswer: -18d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, v: 5}. Give prob of picking 3 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-8 + 14*r + 8) + 3032 + 24*r - 3032.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25987 and 271864.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1168 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.243 (b) 5 (c) 0.1 (d) 0.4 (e) -4 (f) 3 (g) -44\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 20473 - 10*12\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.003, -24, 4159\/6.\nAnswer: -24, -0.003, 4159\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 306*a**3 - 1220*a**2 - 6*a - 28. What is i(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 - (0 + 1). Let j(i) = i**3 + 5*i**2 + 6*i + 10. Let f be j(-4). Put 0, f, y in decreasing order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8614, -8610, -8616, -8638, -8682?\n\"Answer: -s**3 + s**2 + 8*s - 8622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21b + 69480?\nAnswer: 69263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 398 + -371 - (-1217)\/(-45).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1546 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 1, k: 3, p: 7, y: 1, c: 2, b: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2 + 4*v**2 - 6*v + 2*v + 3*v + 0*v + v**3. Let d be h(-4). Factor -3*f - 2 - 2 + 0*f + f + 2*f**d.\nAnswer: 2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111220 (base 4) to base 11\nAnswer: -15477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2364 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = 2*m - 2*o, -2*m - 5*o = -9. Suppose -3*s = 5*y - m*s - 34, 0 = -5*y + 2*s + 42. Factor r**5 - r**4 + 0*r**4 - y*r**5 + 7*r**4.\nAnswer: -3*r**4*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g + 28. Let n be ((-5)\/g)\/(2\/(-4)). Sort -3, n, 3 in increasing order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 + -100 + 3 - 104\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -24. Let o(s) = s**3 - 17*s**2 - 2. Let l be o(r). Is 2\/l*29*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/7)\/f))\/f**(3\/2))\/(f*f\/(f**(-5\/6)*f)*f**10*f) assuming f is positive.\nAnswer: f**(-256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, -697, -1882, -3067, -4252, -5437?\nAnswer: -6622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3219 and 8917?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -289. Suppose -26*t = -m - 239. Solve -y + t - 19 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = -24. Let r(d) be the third derivative of d**6\/120 - d**5\/12 - 5*d**4\/24 + 4*d**3\/3 + d**2. What are the prime factors of r(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4609*r**3 - 2224*r**2 - 12390046*r + 3 wrt r?\nAnswer: -27654*r - 4448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from yyfcykk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/173424 and 101\/57808.\nAnswer: 173424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3764, -5 in ascending order.\nAnswer: -5, -4, 3764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.054 + -0.054. Which is the nearest to -0.1? (a) -0.4 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-152)\/(-6) + 194\/291. Calculate the highest common factor of 169 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(175))*-1 - sqrt(175)) + sqrt(175) - (sqrt(175) - (3 + sqrt(175))*-4)) + 2*sqrt(448)*3 + (-1*sqrt(175)*-6)**2.\nAnswer: 18*sqrt(7) + 6291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68.098 - 0.098. Let n = p + -68.134. Round n to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5710\/24 - (-9)\/108. Let c = 579 - g. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1647774 and -66422?\nAnswer: 1581352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*l**4*n + l**4 + 13*l**2*n - 791*n - 3 wrt l.\nAnswer: -68*l**3*n + 4*l**3 + 26*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 765707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 7*a + 20 = 0. Let h(i) = -4159*i**3 + 6*i**2 + 8*i + 15. Let v be h(a). Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.1 - 0.1. Which is the biggest value? (a) -0.1 (b) -3 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 9781?\nAnswer: 9781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -183697, -367393, -551089, -734785, -918481?\n\"Answer: -183696*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*i = -825*i - 2640 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**(-27))\/c)\/(c*c**(8\/5)) assuming c is positive.\nAnswer: c**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s + 5. Let m(v) = -1976*v - 702. Let a(n) = -104*n - 37. Let j(f) = 39*a(f) - 2*m(f). Let y(k) = -5*j(k) - 39*l(k). Let g(b) = b**2. Give g(y(x)).\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19634*w - 9776*w = 9813*w + 2025 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 2*z**3)*(1 + z - 1) - 991*z**4 - 126*z - 5*z + 985*z**4.\nAnswer: -8*z**4 - 131*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 + 3*a**4\/4 - 11*a**3\/6 - 5*a**2\/2 + a. Let s be c(-10). Solve 4*l + 4 = 0, 1 = -s*f + l - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n = -115*n - 225*n + 18690 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 591*r**3 - 586*r**3 - 2*r**2 + r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 8\/40 - (-90)\/(-50)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -4*m + 0 + 0*m**2 + 0*m**4 + 0*m**3 + 1\/25*m**5 + 2\/75*m**6. Find d, given that z(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.076166619128 - 28.\nAnswer: -30.076166619128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/49, 2, 161 in decreasing order.\nAnswer: 161, 2, 3\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 314*t. Let g(y) = -381*y**2. Determine b(g(f)).\nAnswer: -119634*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 56843820.\nAnswer: 56843820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 31 = q + 2*q + 53 - 42, 6*q = -2*q + 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.021 in -214, -3, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:58 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 2*z - 48 = 0. What is the remainder when 16 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 48. What is the least common multiple of v and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 755*j\/2 + 570025\/4.\nAnswer: (j + 755)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5341?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 1. Solve 4*k = -4*z - 16, -o*z = z - k + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 7 - 14394*d**2 + 2.\nAnswer: -14394*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j\/(j*j**(9\/7)*j*j))\/j)\/j)\/j))\/j*j\/j**(-2\/73) assuming j is positive.\nAnswer: j**(3737\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-6) + (-1)\/3. Let k = 0.06 - -4.94. Which is the third smallest value? (a) 0.1 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*((0 - 1 - 1)*(2*y + y + y) + 0*y - 45*y + 8*y) - 1 + 2*y + 1)*(-1 + 2 + 0)*(2 + 2 - 7).\nAnswer: 264*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18bf0 (base 16) in base 8?\nAnswer: -305760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d. Let y(v) = 215988*v**2. Determine y(w(x)).\nAnswer: 13823232*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.288018 rounded to 3 decimal places?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -28*j. Let s(b) = 157*b**2. Calculate s(m(n)).\nAnswer: 123088*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * -11.321.\nAnswer: -849.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*d - 46*d + 6. What is the second biggest value in -8, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -3, 1\/9, -2.29, 0.1, -4\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32066241 is divided by 253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/x**(-3))))**(-42)\/(x**(-6\/11)*x*x**(-4)))**49 assuming x is positive.\nAnswer: x**(-88641\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*f - 37, f - 3*j - 6 = -1. Let d be (-76)\/f - 20\/8. Which is smaller: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*y - 33, -5*t + 0*t + 2*y = -10. Suppose 4*x = -t*d + 3616, 4*d - 3*x - 943 = 2673. What are the prime factors of d?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:44 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - o**2 + 4*o + (-1 + 2*o + 1)*(0 + 0 + 2*o) - 2*o**2 + o**2 + 0*o**2 + (672*o**2 - 10379*o + 10379*o)*(-3 - 16 + 2) as p*o + u*o**2 + s and give u.\nAnswer: -11422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113\/4? (a) -3 (b) -5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1398371896 times 0.5\nAnswer: 0.0699185948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16100 divided by 3\nAnswer: -16100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 52 = -g - 47, -3*w + 6*g = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022380.\nAnswer: 2, 3, 5, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 340, 221, -22, -431, -1048, -1915?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 - l + 3. Let b be q(6). Let u = -815 - -812. Is b bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*p = 119*p. Let o(b) be the first derivative of 3\/2*b**2 - 3\/4*b**4 + p*b + 0*b**3 + 12. Factor o(l).\nAnswer: -3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54769\/3 or -18257?\nAnswer: -54769\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g**2 - 115*g - 27. Let o(h) = -3*h**2 + 23*h + 5. Determine 11*o(b) + 2*r(b).\nAnswer: -b**2 + 23*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 196062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312133 (base 6) in base 14?\nAnswer: 9225b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.938 + 0.062. Let w = -35.97618 - 0.00682. Let f = o + w. What is f rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 38 = -3*d + 2*h, -h = 4*d - 28. Suppose 28 = 2*v + d. Let t = v - 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*d - 5*r, 5*d + 5*r = d - 3. Let j(p) = -p**2 + 7*p + 2. Let m be j(8). What are the prime factors of 6*m*d\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7)*(0 + -21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 26 + 55 = 0. Find the third derivative of 30 - 35*z**3 - 55 + 25 - y*z**2 wrt z.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353932528 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118599447?\nAnswer: 3, 67, 83, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n - 11. Let i(s) = 3*s + 2. Let y(a) = 2*h(a) + 11*i(a). Let v be 2\/(-4) - (-11)\/2. Let p(f) = v*f**2 - 4*f**2 + 0*f**2. Give y(p(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2592 and 9.73.\nAnswer: 25220.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15345, 30692, 46039, 61386, 76733, 92080?\n\"Answer: 15347*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 - (47 + -45).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 36 and -51.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-8))\/(5 - 2 - 2)*-1. Is 2\/813 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2891*g - 894. Is w(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*g**2 + 4*g + 17 wrt g?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/1741 - 33123\/38302. Let o(b) = -2532*b**2 + b - 2. Let r be o(2). Let z = r + 161983\/16. Calculate the common denominator of z and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -4. Let p be -5*(c - (-5 - -2)). Solve -6 = -p*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(44)*-1 - sqrt(44))\/sqrt(4))**2.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 60.95, -2\/3, -221, 3?\nAnswer: 60.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 322\/184 - (0 - -2). Let o = -5.2 - -63.2. Put -0.3, q, -0.2, o in decreasing order.\nAnswer: o, -0.2, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2758\/54 + (-22)\/297. Let v be -2 + (-2 - (165\/y + -5)). Is v less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506525 is divided by 253262.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let q(m) = -m**2 - 6. Let x(b) be the third derivative of b**5\/20 + 17*b**3\/6 + 4*b**2. Let o(w) = 17*q(w) + 6*x(w). What is r(o(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/4)\/(z**7*z)*z*z\/(z\/((z*z*z**4\/z*z)\/z))*z*z*z**(-7) assuming z is positive.\nAnswer: z**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, 4, -0.2.\nAnswer: -0.2, 4, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -3*k. Let c = -2 - -22. What is the units digit of 5\/c + 3\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -24*x + 22*x - 3*w - 4 + 2, 8 = 4*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let o(c) = -1562894*c - 1. Calculate o(w(i)).\nAnswer: -1562894*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 - (3 + -4))) + 6 - (-38 - 26).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 - 364 - (-2 + -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p)**(6\/5))**(18\/5)\/(p*p\/(p\/(p**(2\/23)*p*p))*p\/(p*p**1))**(-44) assuming p is positive.\nAnswer: p**(57768\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + r + 8. Let t be v(-8). Suppose t*i + 30 = i. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 38, -2\/25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505673919.\nAnswer: 3, 7247, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3280673?\nAnswer: 11, 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98.9 + 99.1. Let i = -26\/9 - -14\/9. Which is the smallest value? (a) i (b) 1\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(20)\/sqrt(4)))\/sqrt(3) + ((sqrt(11) - (1 + sqrt(11)))*-1 + sqrt(99)*-1)**2.\nAnswer: -5*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3 - 2*d**2 + 24*d + 138. Let f be q(-4). Which is the second biggest value? (a) 4 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 2)*(3 - 3 + b) + 3*b - 3*b - 2*b)*(-20 + 7*b**3 + 20) to u*b**3 + i*b**2 + m + t*b**4 + v*b and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2521 minus 1218563.87?\nAnswer: -1218552.6179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 8*j**2 - 6*j - 6. Let a be l(7). Let t(n) = 6*n**3. What is the units digit of t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - h. Suppose h*k - 12 = -4. Suppose -5*t - s + 120 = k*s, -2*t - s = -44. Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211016578.\nAnswer: 2, 105508289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Suppose -b*c + x = 26, 2*x + 10 = -c - 1. Is 14 a factor of ((-255)\/c)\/((-1)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 210 = -q, -3*f - q - 33 = -667. Let s = 298 - f. What is the first derivative of s - 19 - 11 + 40*g**4 - 29 wrt g?\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbt when three letters picked without replacement from {c: 1, w: 1, j: 8, b: 4, t: 3}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 + 6*n. Let c(f) = -f - 20. Let p = 13 - 28. Let d be c(p). Let y be t(d). Solve 0 = -2*s + 5*b + 4 - 28, 3*b = 4*s + y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 4, -4 in decreasing order.\nAnswer: 4, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42893722, 42893721, 42893720, 42893719, 42893718?\n\"Answer: -w + 42893723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3 - 11. Suppose n*h + 5 = 1. Let z = h - -2. Solve c - 2*y = 5*c + 14, z = 4*c + 5*y + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2112\/36)\/(-22)*30\/4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1338.\nAnswer: -1\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240403 - -1035?\nAnswer: 241440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -611.4 to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17648.09 rounded to the nearest 10?\nAnswer: -17650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18))**(1\/13)\/(c**(3\/23)*c*c*c**(-10)*c*c) assuming c is positive.\nAnswer: c**(1341\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 9*w + 8. Determine u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -386.93 + 389. Let u = -1.51 + 1.58. Let y = g - u. Is y bigger than -1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 29*o = 975. Suppose 0 = 8*t + 221 - o. Solve 9*x + t = -32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*c - 33*c + 143. Solve 5*a + c = 9*n - 10*n, 0 = 5*n - 2*a - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 222 = -3*g. Let q = 371\/5 - g. Let m = 6 + -6.1. Is m not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l - 2. Suppose -2*g + 26 = 4*o, 0 = 4*g + 3*o + 2*o - 40. Let x(p) = -14*p - 5. Calculate g*n(f) - 2*x(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 12. Suppose b + 22 = p - 2*b, -b = -p + 20. What is the remainder when -2*((-162)\/o + 4) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -4*r + 16, -2*j + 4 = -r. Suppose -5*o + 3*h = -10*o + 20, -o = h - r. What is the least common multiple of o and 4\/10 + (-23)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4238 = -6*w + 9*w, -a + 2*w + 2133 = 0. Suppose -5*t + a = -4*i, 5*t + 3*i - 2772 + 647 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 156808.\nAnswer: 156820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(25*h - 38*h + 26*h - 2*h**2).\nAnswer: 2*h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1318063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31496*g + 1293 - 1293.\nAnswer: -31496*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 16*t + 53. Let f be r(12). Solve -3*z = -5*x - 9, 0*z = -2*x - f*z - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 + 10710*h - 44 - 45 - 29)*(3*h - 3*h + h).\nAnswer: 10710*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 25*k + 0*k**6 + 0*k**3 - 17\/12*k**4 + 0 + 0*k**5 + 0*k**2 - 13\/42*k**7. What is the third derivative of p(z) wrt z?\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/75 + 29\/150. Let v be (4\/15)\/(350\/125). What is the nearest to 1\/4 in -5, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/28))**(-38)\/(d\/(d**23*d)*d**(-30)))**(-33) assuming d is positive.\nAnswer: d**(-25113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. Suppose 3*n = -5*w + 72, -h*n + 0*w + 133 = 4*w. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1210*u - 2. Let h(c) = 23*c + 11. Let z(y) = -4*y - 2. Let i(b) = -2*h(b) - 11*z(b). What is i(r(f))?\nAnswer: 2420*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w + 249. Calculate h(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.14535.\nAnswer: -0.2907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 - 7.8. Which is the nearest to -0.1? (a) -1 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 2, n: 1, j: 3, e: 1}. What is prob of picking 1 e, 1 a, and 1 n?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/9 - (-10)\/45. Let q be (-2)\/4*(-24)\/p. What is the second derivative of -z - 18*z**2 + 18*z**2 + q*z**3 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11566 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: Calculate the greatest common divisor of 20664 and 13692.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4 (c) -4 (d) 20 (e) -2\/29 (f) -8 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9\/7)\/j*j)\/j**15 assuming j is positive.\nAnswer: j**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19760232841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -39*c - 1826. Let h be l(-71). What is the highest common divisor of 123 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:41 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 7800?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/6 - 53*b**2. Let z(f) = 12*f**2. Determine g(z(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -4 (b) 1\/10 (c) 0.4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1089 + 2896. List the prime factors of z.\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388361 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c - 1280 = 214. Put c, 3, 4, -1 in decreasing order.\nAnswer: 4, 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24851 + -4205. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 17. Determine b(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264\/13 + 463\/26. Find the common denominator of 33\/188 and o.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320\/(-2720) + (-7790)\/(-34) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 119 = -5*v. Calculate the remainder when 79 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let d(w) = -12*w + 9. Let n(v) = d(v) + 5*q(v). Let m(s) be the first derivative of -13*s**2\/2 + 8*s - 26705. Determine 6*m(j) - 11*n(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30a32 (base 13) in base 10?\nAnswer: 87414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z - 6. Suppose 5*r + 24 = -q, 2*q + 12 = r - 2*q. Let o(f) = f**2 - 2*f - 5. Give r*p(v) + 5*o(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732, 1721, 1696, 1651, 1580, 1477, 1336, 1151?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 27*z + 62*z - 17*z - 19*z to the form r + s*z and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100011111000000000 (base 2) in base 13?\nAnswer: -17b41a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -575, -863, -1153, -1445?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5\/2 (c) 3 (d) -161 (e) 1 (f) -0.2 (g) 3\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 236, -5, 3169, -2\/9 in decreasing order.\nAnswer: 3169, 236, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.113225 - -0.001477. Let a = -3.885658 - s. Let m = a - -4. Round m to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 - 107*a - 100. What is d(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-59)\/((-3 + (-14)\/(-5))*-5). Let o = 290 - i. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26488 divided by 7\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 2 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**5 + 51*a**4 - 6*a**3 + 1121*a**2 + 6*a. Let n(z) = -z**3 + z. Let r(v) = k(v) - 6*n(v). What is the third derivative of r(h) wrt h?\nAnswer: 60*h**2 + 1224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -66, 1 in decreasing order.\nAnswer: 1, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 69 (c) 3\/563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -151*q**2 + 604*q + 2. Let y be h(4). Solve 4 = f + y*a - a, 0 = 2*a - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.57 and 25.\nAnswer: 28.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j - 3*g - 8 = 0, 0 = -2*j - g - 4. Let h(s) = 189*s**2 + s - 1. Is h(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 13*d**2 - 1 + 9*d**2 - 1)*(-10*d + d + 7*d)*(d + d - 3*d) as u*d**3 + y*d**4 + a*d**2 + o + v*d and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*x - 343*x + 123*x + 116*x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -70565 minus 153?\nAnswer: -70718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 4*t**3 - 3*t**3 + (-t + t + 2*t)*(2 - 2 - 2*t**2) - 324*t**3 + 34489*t - 34489*t.\nAnswer: -330*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76.33 - -81.1. Let d = -164.57 + a. What is d rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127 = 216*j + 150*j + 4559 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442366 is divided by 23271.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 847 - 817 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 33*u**2 - 7. Let c(y) be the second derivative of -11*y**4\/6 + 5*y**2\/2 + 4*y + 40. What is -7*c(l) - 5*d(l)?\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/2*6\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose t = 3*f + 3 + 6. What is the units digit of ((-2)\/(-6))\/(f\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7\/6, -5, 1, -11\/13?\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.84 - 0.16. Let m = o - -9.942. Let g = m - -0.0643. Round g to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254028503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -6, 7.82, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/4 - v**3\/3 + v**2\/2 + 3*v - 4. Let t be k(0). Suppose -t*d + 8 = d. Solve 2*s = -d*z - 6, 4*s + 30 - 9 = 5*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753444.7 decades to millennia.\nAnswer: 7534.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 6, -11, 2.2, 381\/11, -1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 12*q + 75. Let z(u) = 4023*u**3 - 11*u**2 - 15*u - 10. Let k be z(q). Let t = 29974915 - k. What is t rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31563 and 14202849?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/34*(-4)\/(-14)*420\/80?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -786, -1355, -1924, -2493, -3062?\n\"Answer: -569*f - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + o + 5*g, -2*g - 9 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4 - 11. Suppose -5*p = -2*u - 73, o*u - 6*u = -2*p + 38. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 - 27*m**3 - 80*m**2 + 276*m = 0. Calculate m.\nAnswer: -23, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 - 3*h - 2. Let o = 12 + -3. Calculate the remainder when o is divided by y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 81. Calculate the smallest common multiple of w and 7\/3 - (-1)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 4. Let p(u) = u + 2. Determine 5*p(m) + 2*v(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -54. Let x be i - (-2)\/1*-1. Suppose 3*n + 4*a - 12325 = 2*a, -2*n = x*a - 8213. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 1. Suppose 0 = z - 5*z + 2*d - 14, d - 6 = z. What is w(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -5*q - 4*f, 0 = -4*q + 5*f - 37. Suppose -4*j + 4*r + 8 = 0, -14*r + 12 = -18*r. Put 1, q, j, -3 in ascending order.\nAnswer: q, -3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 660\/13 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/2*8\/(-12). Solve -s - 8 = -x*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/16 + 6\/8)\/(-2). Solve c*l = 2*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7613, 60928, 205637, 487436, 952021, 1645088, 2612333, 3899452?\nAnswer: 5552141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296449 + 156*a**2 + 1296447 - 2592896.\nAnswer: 156*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -f, n = 4*f + 6*n + 13. Let a(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + 5*g - 3. Let p be a(4). Sort p, f, 2 in ascending order.\nAnswer: f, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m*m**(-1\/18))*m*m**18\/m)\/(m*(m*m*m**(-4)*m*m)\/m)**10)**32 assuming m is positive.\nAnswer: m**(5776\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*w = -2, -11 = -5*y - 4*w + 2*w. Let p(v) = -v**2 - 33*v - 59. Let c be p(-31). Let b(a) = a**2 + y*a - c*a. Let h(z) = 6*z. What is b(h(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1661047, 3321989, 4982931, 6643873, 8304815?\nAnswer: 9965757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 913?\nAnswer: 191.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 49 = 5*k, 70*k - 65*k = 3*o - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 - 5*k + 6. Let n be g(4). Suppose 0 = 4*m + 5*c - 31, 2*c - 46 = n*m - 6*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -0.2402 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 2977?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 23, 2, -37, -94?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13320076 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 5:38 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.755 take away 0.06?\nAnswer: -0.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1972, -1973, -1974, -1975?\n\"Answer: -l - 1971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/7))**(4\/23) assuming m is positive.\nAnswer: m**(20\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514 + 521. Solve 4*p - i = 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/78 + s**3\/13 + 4*s**2\/13 - s - 74. What is l in o(l) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 67*c**2 - 70*c + 149. What is p(68)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -77*n + 6. Let y(g) = 25*g - 2. Let z(l) = 6*f(l) + 17*y(l). What is z(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/4)\/((-1)\/(-4)). Let i = -4 + 6. Suppose -i*p + p + 4 = 0. Solve -p*x = x + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) 2 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 3, a: 2, w: 6, x: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 35 = -16*f. Let i(c) = -c**2 - 6*c - 4. Give i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336311400 rounded to the nearest one hundred thousand?\nAnswer: -336300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25297894 and 7?\nAnswer: 25297887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192614.\nAnswer: 2, 193, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 437517041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736193895?\nAnswer: 5, 29, 61, 196291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 385187753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aazzzbzbazab?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41\/2*p - 7\/2*p**2 - 33\/2 - 1\/2*p**3.\nAnswer: -(p - 3)*(p - 1)*(p + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -1, -2\/3, -2.\nAnswer: -2, -1, -2\/3, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/72 and -39\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*l + 2*y, 5*l - 38 = y + 37. Let q = l - 10. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 8. Let x be a(-11). Solve -o - x = -0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 10. Suppose 3*m - 50 = n, 0*n = -m + 4*n + u. Suppose -m*r = -6*r - 1000. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 66, 3, -4, -2, 5 in increasing order.\nAnswer: -4, -2, 3, 4, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-18)*(-63)\/(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9924*n + 2583 = -9861*n. Calculate the remainder when 3772\/16 - 2\/(-8) is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370*221.\nAnswer: 81770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30070 smaller than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 3*t + 8. Let f be a(-4). Suppose -u - 21 = -f. Solve -7*b = -4*b - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-150) + (-62)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9314*w**2 + 9 - 38192*w**2 - 4.\nAnswer: -28878*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 9. Let m(c) = -3*c**2 - 13. Give 7*k(y) - 5*m(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24340791.63 + -514104.37. Let d = r - -24854895.78000017. Let m = d + 0.22. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*o = -987 + 954, -2*x - 4*o - 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*l - 109*l + 1 + 9*l + 9*l**2.\nAnswer: 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 4*i + 3*x + 558, 0 = 2*x + 4. Which is smaller: i or -200?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (95\/(-10))\/(1\/(-32)). Let t = a - 300. Solve 10 - t = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = p + 14654, 0 = l - 5*p - 655 - 2295. List the prime factors of l.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2435*q**3 + 40*q**2 + 67*q + 13*q - 4*q**2 - 2437*q**3.\nAnswer: -2*q*(q - 20)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/3, -13, -1, -12, -5, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -4136056\nAnswer: 4136055.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*h - 20, -9*b + 1016*h = 1011*h - 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11011110100011010110011 (base 2) to base 6\nAnswer: -420150003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/(((u*u\/((u*u**(-2\/13)*u*u*u)\/u))\/u)\/u)))\/u*u)*u**(2\/3)*u*u**(-5)*u*u**9)**(-40))**(6\/25) assuming u is positive.\nAnswer: u**(-1312\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -16*j. Sort -1, -4, j in decreasing order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 + 3, 4*o + 12 = 4*d. Let u = -16 + 20. What is the units digit of d\/u*(19 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4580633\/221 + (-4)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j**3 - 142*j**3 + 25*j**3 + 23*j**3 - 135*j**3.\nAnswer: -277*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 2*y - 18 + 27 + 3*y + 0*y.\nAnswer: -5*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.133 + -14.933. Let r = l - -15. Which is the closest to 1? (a) r (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36993130*j*l - 331784*l wrt j.\nAnswer: -36993130*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2418375 (base 9) to base 16\nAnswer: -140426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548448 is divided by 911.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3288\/160 - 21)*38\/(-6) and 73\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 6. Give b(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 361, 1312, 2913, 5170, 8089, 11676, 15937?\n\"Answer: z**3 + 319*z**2 - 13*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h - 3. Let q be p(0). Let s = -11 + 7. Let l = s - q. Which is greater: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.071 - 1.07102438. What is w rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40860)\/21)\/(((-9)\/(-21))\/(-3)). Suppose 6*d = 12*d - o. What is d rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 36946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 1153305.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.086 - -0.0859641. What is b rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 30*o**2 - 19*o - 214. Calculate d(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8823 and 1.5.\nAnswer: 8824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = q + x + 10, 0 = -4*q + 2*x + 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*h + 894 = -4*h, 3*h = -3*g + 663. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/7 - 88*n**3\/7 + 19*n**2 + 3282*n\/7 + 6192\/7.\nAnswer: (n - 86)*(n - 8)*(n + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-108.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 0, -2\/5, -0.7, 3, -0.1, -4\/1325?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, b: 4}. What is prob of sequence bbnn?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75533.\nAnswer: 75533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 - 14*x**3\/3 - 6*x**2 - 95*x. What is the hundreds digit of q(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/25 + -8 + (3 - 3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -153, -152, -151, -150, -149?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d + 20. Let m be c(0). Suppose -17*o + 15 = -14*o. What is the highest common factor of o and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*q + 16 = 0, -4*c + 103 - 39 = q. Suppose 0 = v + 2*g + 6, 7*v - 2*v = 4*g - c. Which is smaller: v or -13\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 5) in base 10?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*d**2*p - 455525432*d**2 - 791757*p with respect to p.\nAnswer: -171*d**2 - 791757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -159 (base 15) to base 12\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 74 - 24. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100010010110010 - -101?\nAnswer: -11000100010010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2366747, -2366767, -2366789, -2366813, -2366839, -2366867, -2366897?\nAnswer: -2366929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8772 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.022*-16585778\nAnswer: 364887.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:17 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3491*o + 3445*o - 7088*o.\nAnswer: -152*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10972460 divided by 4\nAnswer: -2743115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Let r = -1 + 3. Let t be 14\/6 + r\/(-6). Solve -o - 11 = t*x - 0*o, 4*x + 5*o + 25 = v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 9*a - 4. Let c(v) = -5*v**2 - 8*v - 4. Give -5*c(l) + 4*j(l).\nAnswer: l**2 + 4*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418837 is divided by 5859?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240261 or 240263?\nAnswer: 240263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 18. Suppose 4*s - 108 = -5*c + c, -5*s = k. Suppose 2*o - 3*o = -c. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1127125 divided by 225425\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3357 + 3343. Sort 4, 0, -9, 3, z.\nAnswer: z, -9, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - 6 = 0. Let m be (16\/(-6))\/((-3)\/(-18)). Is (-12)\/48 - 5242\/m*a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 488 - 352. Sort t, 5, -1 in decreasing order.\nAnswer: t, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 3*v + 4. Let h be b(7). Suppose -4*q - h = 32. Let x = q + 25. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 350*w**2 + 2*w - 11. Let s be c(3). Let o = s - 1244. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(7)) + -3 + 2 + ((sqrt(175) + 0)*3 + sqrt(175))**2*3.\nAnswer: -6*sqrt(7) + 8393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 18\/8748539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1\/7, 5, 1, 0.1 in decreasing order.\nAnswer: 25, 5, 1, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 129.1. What is the closest to a in 0, 0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140884*o + 566 + 687 + 140885*o + (0 + 0 + 2*o)*(-2 + 1 - 1).\nAnswer: -3*o + 1253","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + (60 - 56) + 35.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15918247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-29) - 220\/(-174). Which is the closest to q? (a) 1 (b) -0.4 (c) 2\/13 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-385)\/66 + 3 + 3*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3527348*w**3 - 3428500.\nAnswer: -10582044*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.9309 meters to kilometers.\nAnswer: 0.0839309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**3 + 12*u**2 + 34*u + 16. Let b(t) = 2*t**3 - t**2 + t + 1. Let j(n) = -5*b(n) + c(n). Is j(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13017?\nAnswer: 3, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 63 + (-2 - -15) - -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 51, 57, 65?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33047515.8 rounded to the nearest one thousand?\nAnswer: -33048000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.63 * 992\nAnswer: -2608.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1)**(-6\/19))**(-2\/45))**(2\/101) assuming t is positive.\nAnswer: t**(8\/28785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 122. Suppose p - 13 + 3 = 3*r, -2*p = 4*r + 20. Let f be -1*(-1 + 1 + p). Put f, o, 5, -8 in increasing order.\nAnswer: -8, o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465225552 divided by -6?\nAnswer: 77537592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -3e?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*y - 4*r, 3*y - 9*r + 5*r - 12 = 0. Let a(t) be the second derivative of 0 - 6*t + y*t**2 + 3\/2*t**3. Let n(g) = 2*g. Give a(n(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/3)*f*f)**22)**(-14) assuming f is positive.\nAnswer: f**(-3388\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-79016)\/(-755706) + 2\/(-19). Let l be ((-4)\/(-15152))\/((-2)\/(-167940)). Let t = h + l. Calculate the common denominator of t and -39\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 3*z + 7. Let l(f) = -5*f**2 - 17*f + 42. Let s(c) = 6*l(c) - 34*n(c). Differentiate s(x) with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-142 - (119 - 241)) + (10 - (-1 + 2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369199.499926 - -369202. Let s = c - 2.5. What is s rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3\/15 - (-319)\/5. Suppose 0 = -4*k + t - 52. Solve -21 = k*y + 4*d, -2*d - 18 = 5*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5630, 5631, 5632?\n\"Answer: a + 5629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -5*m + 10*m. Let d = -3 + m. Solve o - 19 = -0*z - 4*z, -5*z + o = -d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 7*l**3 - 6*l**3 - l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4 + 1 = 3*f, -4*f = -k + 41 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 4*y - 65 = 0, 22*c - 4*y - 207 = -337 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 18 = -4*l, l - 9 = p - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 > -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 64 = 5*u. Let v = u + -12. What is the second derivative of 119*o**3 - 7*o - 119*o**3 + v*o**5 wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-6) - -2)*-15. Let t(d) = d**2 - 2*d - 4. Let y be t(-3). Factor 4*z**3 + 4 + 12*z**2 - s*z + 3*z**3 + 25*z + y*z**2.\nAnswer: (z + 1)*(z + 2)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6602*h + 14. Let r be m(-6). Let v = 2219173\/56 - r. Find the common denominator of v and -17\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 21. Let v = 89 + -58. What is the remainder when v is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a. Let q(j) be the first derivative of 5*j**2\/2 + 179. Determine q(o(y)).\nAnswer: -90*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.2. Let p be -5*(0 + (-12)\/(-10)). Let u = p - -29\/5. Which is the nearest to 0? (a) -2 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 - 4\/3*x**4 - 25\/2*x**2 - 22*x - 25\/6*x**3. Let a(m) be the first derivative of q(m). Differentiate a(s) wrt s.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 2836057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038678 rounded to four dps?\nAnswer: -0.0387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4500)*5 - sqrt(4500))*-3)\/(((sqrt(81) - sqrt(81)*-2) + sqrt(81))*-3 + sqrt(81) + sqrt(81) + (sqrt(81) - (sqrt(81)*-1 + sqrt(81)))*-3).\nAnswer: -110*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 36*x - 766 - 226 = 29*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/16*-2*(-142)\/5. Calculate the greatest common divisor of b and 2485.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1221 + 1187.66. Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -43. Let p = 3 + y. Solve 4*l - p = -2*t, 3*l - 2 = 4*t + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178.6 * 0.24.\nAnswer: -42.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-53 - 3) + -31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87930772591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiic when four letters picked without replacement from {c: 2, i: 3, f: 1, x: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11940 divided by -1532.\nAnswer: -2985\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let l(g) be the first derivative of -17*g**3\/3 - g**2 + 501. Calculate j(l(b)).\nAnswer: 34*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391345\/12648 + -955\/31. What is the common denominator of x and -133\/30?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3670 - -11107\/3. Let t = 33 - i. Sort 2, t, 4\/7 in decreasing order.\nAnswer: 2, t, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*q = 3*s - 21, 5*s - 20 = 2*q. Let b be (0*2\/6)\/s. Suppose 3*m - 807 = -b*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {s: 2, u: 1, l: 2, y: 6, n: 3, j: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 4\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -355 or -3892\/11?\nAnswer: -3892\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y - 1. Let f(m) = -1. Let o(b) = 5*f(b) - s(b). Let p(g) = -3*g - 1. Give 4*o(i) - 18*p(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31013 + -3?\nAnswer: -31021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v + 40 = 0. Let n = 1\/154 - -3272\/77. Find the common denominator of (-34)\/(-10) + v\/32 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -103. Suppose -6 = -3*j + x, -4*f + 65 = j. Solve 5*p + f = 5*k, 4*p = -3*k - p - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 9*g - 2. Let u be c(-7). Is 185\/6 - (-2)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:36 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -6*r - 5\/3*r**3 + 0*r**2 - 5. Differentiate f(t) wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 588 divide 51946201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19147?\nAnswer: 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*p + 1315 - 2592 + 4*p**4 + 2*p**2 + 1355 - 16*p as j*p**2 + h*p**3 + r*p + l*p**4 + w and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 16*f**2 - 27*f - 7. Calculate the remainder when ((-448)\/80)\/(2 - 31\/15) is divided by s(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.01. Let r = 34.79 - 35. Let w = j - r. Which is the biggest value? (a) 0.1 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2419956714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 7, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 175.7 and 2.63816.\nAnswer: 178.33816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 30 = 13*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + v. Let l(k) = -25*k**3 - 15*k**2 - 15*k + 20. Let t(f) = -3*f - 102. Let w be t(-39). Let c(i) = w*y(i) + l(i). Find r such that c(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4740)\/45*(-6)\/4. Let n(z) = z**3 - 9*z**2 + 10*z - 11. Let h be n(9). Let q = b - h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17815 + 17815 + 26464*v**2.\nAnswer: 26464*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*w + 8298 = -754*w - 18359 - 18921 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*2520\/360.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.85 - 100.85. Let j = -90.7 - n. Let b = -9.7 + j. What is the third biggest value in b, 1\/10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47780945.\nAnswer: 5, 9556189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19)\/f**7)\/(((f**12*f)\/f*f)\/(f\/(f\/(f\/(f\/f**(-6))*f)))) assuming f is positive.\nAnswer: f**(-473\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17135, -17014, -16767, -16358, -15751, -14910, -13799, -12382?\nAnswer: -10623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 15*v - 3. Let h be q(8). Suppose -2*o + 5*l = 34 + 9, -4*l = -h*o - 65. Let a(c) = -12*c - 10. What is the tens digit of a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-11))**(-11))**(2\/53) assuming n is positive.\nAnswer: n**(-264\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 9*n - 51. Let i(r) = 2*r**2 + 19*r + 95. Let u(b) = -3*i(b) - 5*l(b). What is u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/11 - -833\/209. Sort c, -0.5, -2\/7, 2.\nAnswer: -0.5, -2\/7, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5671*a + 11370. What is y(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**6\/6 + 56*h**4\/3 + 2100*h**2 + 1357*h. Differentiate w(j) wrt j.\nAnswer: 20*j**3 + 448*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 9372880*h\/13 + 10981359936800\/13.\nAnswer: 2*(h - 2343220)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 - 2232291*p - 4464594 = 0.\nAnswer: -2, 744099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20901419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54652 is divided by 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 63532.\nAnswer: 6988520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2135 by 427.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -301 - -304. Calculate the remainder when (0 + 1)*(c + -4 - -38) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358458 is divided by 39768.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3781, 3779, 3765, 3733, 3677, 3591?\nAnswer: 3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 4*y, -4*l = y - 8 - 4. Let u be 21\/9 + (-2)\/(-3). Suppose 2*m = o - 223, y = u*o - 5*o + 3*m + 442. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 3*q. Let n be t(-3). Let y be 304\/72 - 4\/n. Suppose -f + 3*b + 2*b + 17 = 0, y*b + 14 = f. What is the greatest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-15 - 20\/(-4)) - 10. Let k be a\/((-60)\/(-16)) + (-7 - -7). Let d = 1.9 - -2.1. What is the smallest value in 2\/11, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + w - 7. Let p be h(0). Let s = 12 + p. Suppose s*m - 8 = 7. Which is the nearest to 1\/4? (a) m (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 491200 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 105*m - 129*m + 182*m)*(-2*m + m - 3*m).\nAnswer: 208*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51619 - -77995. Does 58 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2305 + -6?\nAnswer: -230b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44*((-242)\/(-36) + 16\/(-72))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*u + 28*u - 50*u + 4*u**4 + 6*u**3 - 3*u**4 - 2*u**3 to the form t + y*u + l*u**2 + w*u**3 + d*u**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*v + 24 = 0, -l + 153*v - 18 = 157*v. Solve 5*j - 27 = -3*q - 57, -1 = -3*j + l*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-5\/4)*d*d**(12\/11))\/((d*d**10*d)\/d**(-33)))**49 assuming d is positive.\nAnswer: d**(-90895\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 9*o - 4*o + 2*d, 70 = 2*o - 4*d. Suppose -24*r - 51 = -o*r. Calculate the highest common factor of 187 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 163*w - 1157. What is the remainder when g(7) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 3\/2, 2, 1\/177, 5?\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*r + 596719*h - 87901*r with respect to h.\nAnswer: -2*r + 596719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.143*-2.\nAnswer: -2.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, r: 1, b: 2}. What is prob of sequence rl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*i - 1951418*f**2 + 375231*f*i**4 - 8*i wrt i?\nAnswer: 2*f**2 + 1500924*f*i**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (13 - -3) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -287, -649, -1145, -1769?\n\"Answer: v**3 - 76*v**2 - v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5 + n + 2*n**2 + 5*n**2 - n**3 - 9*n**2 + 0*n**3. Calculate the remainder when 18 is divided by z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 9. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 14) + -3 - -1 - -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4430\/9 or 491?\nAnswer: 4430\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 48.4. Let t = a - -11.40102. Round t to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 - 126*g + 63. Let x(m) = 2*m - 1. Let r(o) = 2*t(o) + 126*x(o). Let f(w) = -26*w**2. Give f(r(n)).\nAnswer: -8424*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2. Sort -1\/5, -2\/9, u in ascending order.\nAnswer: u, -2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8239*z**2 - 40*z - 3213879?\nAnswer: 16478*z - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 6723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3*o - 9*o**4 + 3 - 2 - 25*o**3 - 21*o**2 = 0. What is o?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f + 75*f + 16*c = 133 - 18, -f - 19*c = -59 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, k: 5, e: 6, m: 5}. Give prob of picking 3 k and 1 e.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = 3*v - 20*s + 4, v + 23 = 5*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289674453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.713048ms in minutes?\nAnswer: 0.0003785508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(0\/3 - (-3)\/2). Let a = l + -60. Let m be 3\/9*-2 + a\/(-6). What is the highest common divisor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.5 (b) -5 (c) 3\/7 (d) 9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1286 + 687\/56584. Let s = 3.94 - -0.06. Let d = s + -4.1. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.316786 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 85 + 75 = 0. Let f(l) = l**2 - 4*l - 1. Let g be f(-3). Calculate the highest common divisor of g and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 10. Let d = 7138 - 7141. Let l(z) = 3*z - 21. Give d*l(v) - 5*r(v).\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 57, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 47\/4 of a second?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*i = -720, -2*m = 3*m - 2*i - 692. Suppose 0 = -4*y + 2*x + m, 3*y + 2*x - 105 = -3*x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/15 - 518*w**4\/15 + 3038*w**3\/15 - 458*w**2\/15 - 12184*w\/15 + 2024\/3 = 0.\nAnswer: -2, 1, 2, 5, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 22 - 8) + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564032527.\nAnswer: 127, 643, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2604 + -1726. What are the prime factors of o?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.142 - -23.142. Which is the biggest value? (a) -1 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*(-2)\/(-4))\/2)\/((-607)\/(-2428))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 145 - 19 = 0. Let j be (u\/(-4) - 5)*-4. Which is the third smallest value? (a) j (b) 5 (c) 20\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 2 + (2 + 0 + 0)*(-3 + 3 + 2) - 3 - 2 + 4 - 1 - 2 + 1 + (110 - 223 + 46)*(4 - 5 + 0))*(3*w - 6*w + 2*w) + 3 - 3 + w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3789 + 3789.3. Which is the closest to 4? (a) h (b) 5 (c) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2046\/34100 + (-9141)\/(-150).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 26. Let f be 217\/62 - (-7)\/(-2). Put b, f, -7 in decreasing order.\nAnswer: b, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l - 10*l + 2*l = 24*l - 2380 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11907, 12983, 14793, 17343, 20639, 24687, 29493?\n\"Answer: q**3 + 361*q**2 - 14*q + 11559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4444 - 3838?\nAnswer: -8383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/20 and -163\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x - 11. Let c(u) be the third derivative of 2*u**2 + 0 + 1\/12*u**4 + 1\/20*u**5 + 0*u + 1\/120*u**6 - 1\/2*u**3. Give c(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 115 - 31. What is the remainder when f is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2000 + -2954. What is b rounded to the nearest 10?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23425281?\nAnswer: 3, 11, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 89*u + 6 - 3*u**2 - 81*u + 4*u**2 = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -32?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 14162325*l**2 + 84974085*l + 127461195.\nAnswer: -5*(l - 2832471)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 + l - 1. Let d be a(10). Suppose -5 = -3*p + 7. Suppose -3*m + 254 = -p*f, -f - d - 103 = -5*m. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 20. Let b(x) = -2*x**2 + 10*x + 5. Let g(s) = s**2 - 9*s - 6. Let a(w) = 2*b(w) + 3*g(w). Determine a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b + 4. Let k be h(0). Suppose -k = -5*s + 6. Solve -n - s = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66181186 + -66181217.0000065. Let r = -30 - 1. Let l = z - r. What is l rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 + 6*w + 3. Let o be c(-6). Suppose -20 = -0*i - o*i + 2*k, 2*i - 2*k - 12 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*m - 9 - 4 = -13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 8. Let p(o) = o**3 + 7*o**2 + 2*o + 6. Let j be p(-7). Let c be u(j). What is the second derivative of 3*s**4 + s + 2*s + c*s**4 wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:44 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let b = w + -7. Let c(r) = 2*r**3 - r**2 + 4*r + 3. Let i(p) = 3*p**3 - p**2 + 4*p + 4. Let y(n) = 4*c(n) - 3*i(n). Give y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 90\/102 + 2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 946696*l**3 + 112492085192*l**2 + 109561279551360*l + 26786939867251200.\nAnswer: 2*(l + 490)**2*(l + 236184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6134 + 6180. Calculate the remainder when 273 is divided by f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -55?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:49 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*16\/(-56)*(-2)\/(-84)*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:16 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412834 and 4530?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, -8, -41, -94, -173, -284, -433, -626?\n\"Answer: -n**3 - n**2 - 9*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139992587 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1240 and -85\/8.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 4*c**3 + 6*c**3 + 4 - 5*c**2 - 3*c. Suppose 7 = u - 1. Let m be 2*(-2)\/u*6. What is d(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 101, 73, 25, -49, -155?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:46 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 210558, 210559, 210562, 210567?\n\"Answer: h**2 - 2*h + 210559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:58 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y + 65*y - 1234 = 0. List the prime factors of y.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5 in descending order.\nAnswer: 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 47\/397?\nAnswer: 47\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 1\/7, -5\/4, 5, 3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/7812 and -27\/44?\nAnswer: 85932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -432, -430, -420, -396, -352?\n\"Answer: q**3 - 2*q**2 + q - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x - 6*x. Let o = x + 6. What is the first derivative of 0*u + 5*u - o*u + 2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/6, 209.9, -2\/7, 67, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j**2 + 310*j + 58. Let w be z(24). Calculate the highest common divisor of 1510 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p + 43. Determine g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 + 4.96. Let k = w - -0.34. Put k, -1\/3, -7\/11, 0.4 in decreasing order.\nAnswer: 0.4, -1\/3, -7\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + -9 + (13 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -5) + -11 + 5 + -1 + -11 - 22.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 308334 divided by 871\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-18 - (8 - 19)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:07 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 7. Let r(l) = l - 4. Let a(s) = 2*h(s) - 3*r(s). Suppose -8 = -5*w + 12. Suppose -2*t = w - 12. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -23 + ((-2033)\/(-95) - 5) + 7. Factor -16\/5 + 1\/10*s**2 + g*s.\nAnswer: (s - 4)*(s + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x + 7*x**2 - 1049 + 1101.\nAnswer: 7*x**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 15*w - 3*w + 8*w.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 26 + 22. Let p be (-3*(3 - l))\/(2 + -1). Find the first derivative of 5*y**p + 87 - 81 + 5*y**3 wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*k + 1202, -4*q = -9*q - 4*k + 3014. Let o = q + -3635\/6. Let s = 7\/2 + o. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*n**3 - 28*i**2 + 1456*i*n**3 - 3*i + 95 wrt n?\nAnswer: -3*i**2*n**2 + 4368*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -354825 and -354825 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718*p - 66771 - 41463 = 0 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 + 533370*c - 1600113 = 0.\nAnswer: -1600113, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 15 = -3*h, 25*r - 24*r - 4*h = -20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 32*q + 21. Let b be d(-11). Let h = b - -430. What is the highest common factor of h and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 500\/(-275) - 4\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00802893 rounded to five decimal places?\nAnswer: 0.00803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001605 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7120184 by 17282.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m - 2. Let v(i) = 51*i - 6. Suppose 0 = -153*g + 119*g - 136. What is g*v(x) + 11*d(x)?\nAnswer: -17*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*w - 5, -2*w = -3*t + 3*w - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 10, -2*k = 2*d - 0*d - 6. Suppose -k*c + 4*t = -17, t + 2*t - 6 = 0. What is the second derivative of -n**c + 8*n**5 - n - 5*n**5 wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 85\/(-25). Let q = 3 + u. Suppose 0 = 6*o - o - 5. Solve q = x - 3 + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 + 38*s**4 - 6*s**3 - 358*s**2 + 562*s - 240 = 0 for s.\nAnswer: -8, -5, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/12556 and -19\/430.\nAnswer: 62780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(2 - 3))\/(4706\/32942).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-1) - (53 - 40). Let a = -2 - -4. Put n, a, 5 in decreasing order.\nAnswer: 5, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.666 take away 0.3?\nAnswer: 34.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338667422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*h - 127*h - 15232 = -443*h. Solve -m = 0, 5*v - h*m = -35*m + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n*t**4 - n*t**3 - n - 119*t**4 - 2*t**3 + 400*t**2 wrt t?\nAnswer: 144*n*t - 6*n - 2856*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -887 - 666*p - 885 + 1772 - 83*p - 4 + 4 - 4*p + p - p - 2*p - 2*p + p + 0*p + (-3 + 4 - 2)*(2 - 2 - 2*p) + 3*p + 3*p - 5*p.\nAnswer: -753*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11\/2)*d)\/(d\/(d\/d**33))*d**22\/d**(-11) assuming d is positive.\nAnswer: d**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 12, 8 + 2 = -b + 4*d. Let y = b + -3. Suppose -y*m - 15 = -2*i - i, 5*i = 4*m + 24. Calculate the remainder when 14 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) 793 (c) 1.12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:51 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 2. Let c(b) be the first derivative of -3*b**2\/2 - 2*b + 4. Let f be c(a). Solve 4*v - f - 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, i: 10, h: 2}. Give prob of picking 4 i.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 4 = 0. Suppose -3*u = -y + 5. Is 1\/3 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let a be 2*-1 + q + 3. Suppose -a*i = -14 - 6. Is i <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -232, -366, -500, -634?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*l**2 + 0*l**3 + 50*l - 51*l - 5*l**3 in the form f + c*l + r*l**2 + q*l**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/20*a**5 + 0 + a**2 + 1\/12*a**4 - 2*a - 1\/6*a**3. Give d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 906.949 + -907. Which is the fourth biggest value? (a) 0.4 (b) -1 (c) h (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 4 - ((-23)\/9 + 4\/18). Let h = -0.1 + -0.1. Let i = h - -0.3. Is i greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 500*g + 52033. Determine y(-104).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**7\/30 - 19*g**4\/24 - g**2\/2 - 13*g. Let m(x) be the first derivative of t(x). Find the second derivative of m(o) wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*a - 9, 4*s + 9 = 3*a + 7*s. Suppose 2*g - 288 = 40. Suppose r - g = -a*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 4 - -3 - 2 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313285 is divided by 908?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 19*f**3 - 8*f**2 + 8*f**2.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -40425552*t**2 + 54*t + 130. Let r be c(-3). What is r rounded to the nearest one million?\nAnswer: -364000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68 - (40 - 42)) + 49?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-24.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 15. Let r(m) = -m**2 + 7*m + 3. Let f be r(y). Let d be (-1)\/4 + (-170)\/(-8). Calculate the greatest common divisor of f and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289939, 579887, 869835, 1159783, 1449731, 1739679?\nAnswer: 2029627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, -1, -64, 777 in increasing order.\nAnswer: -64, -1, 3, 30, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/6) + 0. Let w(p) = -4*p - 4. Let a be w(r). Solve a*l - 3*l - 3*z = -20, 3*z = 3*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*d = 640, 0 = -2*d + 10 - 0. Let z be 249 - (k\/76 + (-3)\/(-12)). Calculate the highest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5146004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112804.\nAnswer: 2, 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 36998 = 2*q, 2*m + 5*q - 7256 = 66739. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:01 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/9)\/4*2\/12?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, i: 4}. What is prob of sequence ih?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60563 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -276479127 divided by -30719903?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 303 + -361. Sort -0.2, l, -0.4 in ascending order.\nAnswer: l, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -553*y + 556*y, -6*y - 6 = -5*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125453097.4 - -34.0343.\nAnswer: -125453063.3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*d - 185*d + 23400. Solve 0 = -0*y - 12*y + d for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -88 (b) -62 (c) -1\/4 (d) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 490 - 70. Let f be (195 - 0)*(-18)\/15*-1. Suppose 3*a - f = -p. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - 1 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -90. Let q(f) = f. Let v be q(8). Let w be (v\/5 - 1)*-1. Which is the second smallest value? (a) x (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 649 from 1803471961499.\nAnswer: 1803471960850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.3, -35, -3\/5, 0.024?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29099 and -0.3.\nAnswer: 8729.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:17 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmfdfdfffddf. What is prob of picking 3 f?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrhsvvhd. Give prob of sequence hhvv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let h(u) = u + 0 - 2*u + k. Let q(b) = -b**2. Give q(h(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 8) in base 6?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 67*z + 4. Let m be t(25). Let r = m + -209. Put 3, 5, r, -11 in decreasing order.\nAnswer: 5, 3, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 80625.\nAnswer: 17\/80625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**2 - 1. Suppose 2*z + 3*h + 26 = -0*h, 4*z - h + 24 = 0. Let m(v) = -33*v**2 - 3. Determine z*q(d) + 2*m(d).\nAnswer: 11*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 6, -243, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 x when four letters picked without replacement from xbxxxbxxxxxxxxbx?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/9)\/(50\/(-225)))\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30764149 is divided by 4216?\nAnswer: 4213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(250)*-4)\/(sqrt(15)\/sqrt(3)*1).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/142 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2\/3*s**2 + 4\/3*s - 2\/3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 7014.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -2\/7 (c) 0.4 (d) 5 (e) 286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 11. Suppose 0 = -4*b + t + d*t - 13, 5*b = -t - 21. Let r(p) = -5*p**2 - 3. Let u(g) = g**2 + g. Let m(f) = r(f) + 6*u(f). Determine m(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*r + 309 = 0, -2*c - r + 2*r = -206. Let y = 399 + c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (425\/255)\/(10\/12). Solve -3*q + 35 = 4*n, 0 = 5*n - 2*q - o*q - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 31. Let v = -42 - g. Let w = 850\/7 - 121. Which is the nearest to -2\/3? (a) w (b) v (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*n - 6, -n = v + n. Is v not equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126836 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(2 + -4). Suppose 2 - t = -j. List the prime factors of j + 1 - 2*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.12 - 1. Let d = w - 0.02. What is the biggest value in d, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85519220887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -388452.114 rounded to the nearest 1000?\nAnswer: -388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4347752 divided by -2731\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524 + -214. Does 31 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -133, -136, -141?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5740\/17 < -337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:47 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -130a + -cc?\nAnswer: -13d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-21)*(-45)\/(-30)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23\/2943, 0.1, 2, 0.15 in increasing order.\nAnswer: 0, 23\/2943, 0.1, 0.15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -175*b**2 + 5 - b**3 + 177*b**2 - b**3 - 4 - 3*b. Give q(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, 5 in increasing order.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 70*j + 73*j - 143*j + j**2. Let z(w) = 11*w. Let a(u) = -4*u. Let c(o) = -8*a(o) - 3*z(o). Determine c(s(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.04426 (b) 3 (c) -1\/5 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 7*w + 4. Suppose -4*a - n = -13, -a - 3*n = -5*n - 10. Suppose -i = -k + 7, -a*k - i + 23 = -0*k. Calculate z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1124*m**4 - 20*m**2 + 56297*m wrt m?\nAnswer: 13488*m**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2*(-2)\/(-2). Let k = -4.98 - -1.98. What is the closest to -1\/2 in h, -2\/3, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -23*b**3 - 89*b**2\/2 - 20*b + 3\/2 = 0.\nAnswer: -1, 3\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/3)\/g)**(4\/3))**37)**(-8\/9) assuming g is positive.\nAnswer: g**(2368\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 7:48 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + 38*k**3 - 39*k**3 + 5 + k**2 - k. Let q(h) = h**3 - h**2 + h - 6. Give -5*q(m) - 6*s(m).\nAnswer: m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 2\/19, 29\/266, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-5)))**(-18\/5) assuming w is positive.\nAnswer: w**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 110\/4*((-60)\/25 + 4). Let k(t) = 76*t - 67 - 97*t - w*t. Is k(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 38*b**3 - 844*b**2 + 48746*b - 925965. Let n(x) = 7*x**3 - 169*x**2 + 9749*x - 185193. Let r(a) = 33*n(a) - 6*v(a). Factor r(l).\nAnswer: 3*(l - 57)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -3*n, -50 = -5*n + 5*m + 30. Find the third derivative of 7*x**4 + n*x**2 + 5*x**4 + 6*x**4 - 7*x**4 wrt x.\nAnswer: 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**5 + 67*a**4 + 303*a**3 + 176*a**2 - 64*a = 0.\nAnswer: -8, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36508*q**2 + 50667*q + 1.\nAnswer: 73016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1335\/4 + -334. Suppose g + 1 - 4 = 0. Let o = -366 + 6948\/19. What is the nearest to o in g, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13694389, -13694395, -13694403, -13694413, -13694425, -13694439?\n\"Answer: -w**2 - 3*w - 13694385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269 - 189 - 424 + 150)*(-4*h + 5 - 5).\nAnswer: 2928*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8426 - 3520 = 0. Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -3\/7 (c) 1\/15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33935 + 33872 - 6*t - 67807 + 7*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/2 - 75*m**2\/2 + 38*m. Let y(v) = 2*v. What is f(y(u))?\nAnswer: -6*u - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.5. Let o = 0.3 - a. Let y = -10 - -12. What is the nearest to o in 0.1, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - -8)\/((-1)\/2). Suppose -5*g + 2*y + 104 = -z*y, 4*y = -2*g + 36. Let i be (-19)\/(-15) + g\/(-30). What is the nearest to 0.1 in i, -4, 0.7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 9 - 17. Is (-5060)\/s - 6\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31247 - 1994*f - 31247 to the form k*f + g and give k.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, 1\/5, 0.5, 9\/22?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 10)*(n**4 - 3*n**4 - 3*n**4) in the form p*n**2 + s + c*n**3 + g*n + z*n**4 and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*t**3 + 100*t**3 - 203*t**3.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13882.\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 5. Let i be (27\/12)\/3*8. Let s be a(i). Let m(c) = c**2 + 2*c + 3*c**3 - c + 7*c**3. Give m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 2. Let n(j) = -4*j**2 - 5. Let y(r) = 2*n(r) - 5*v(r). Let b(x) = 7*x**2. Calculate y(b(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -146, 0.5, 14, -55?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*z**4 + 12447*z**3 - 2262*z**2.\nAnswer: -3*z**2*(z - 377)*(11*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 3*r**5\/5 - 5*r**3\/6 - 3*r. Find the second derivative of h(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19482, -19369, -19258, -19149, -19042, -18937?\nAnswer: -18834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 15. Let q(a) = -6*a - 421. Give -4*c(b) - q(b).\nAnswer: 2*b + 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 212614 or 212720?\nAnswer: 212720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109569\/40 + 2741. Calculate the common denominator of 5\/6 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 7*g - 4. Let r be a(5). Let y = 138 + -136. Suppose y*x + x = 12. Solve -r = -3*l + x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 4*j**2 + 2*j + 1. Suppose 4*g = -g + 10. What are the prime factors of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/11 - 12*b**4\/11 - 50*b**3\/11 - 72*b**2\/11 + 27*b\/11 + 108\/11 = 0. Calculate b.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(132) + 2*sqrt(132)*-6)\/(3*sqrt(432)\/(sqrt(9)*-2)))**2 + -1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623 + 636 - 169*z**3 + 624 - 1874.\nAnswer: -169*z**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427 + 432. Solve -3*f + 8*f - 40 = -c*t, -t + f + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 3315.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 2. Let u be j(3). Suppose -u*s - 124 = -63*s. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6940*f**3*j**2 - 798*f**3*j + 20887*f**3 + 4554*f*j**2 wrt j.\nAnswer: -13880*f**3 + 9108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001207228 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 11*r + 13*r - 3 + 18*r**3 + 18*r**3 in the form m*r + i*r**3 + y*r**2 + a and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 20cf?\nAnswer: 20ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.94 + -8.56. Is -1\/2 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d + z + 10 = 169*d, 125 = -30*d - 5*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 35 - 190. Suppose 2*w - p = -w. Let a = -18 + w. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -127\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*u - 419 - 249 + 116 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:57 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -8225 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 364 + 5*s + 15*s - 13*s in the form y*s + z and give z.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 = -k. Let o(m) be the first derivative of -3*m + 3*m**k - 1 - 4 - 4*m**3 + 3. What is the derivative of o(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24863 and 2645.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*m**3 - 4*m**2 - 138472*m - 97594012?\nAnswer: 27*m**2 - 8*m - 138472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160640 and 7040?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*g + 4 = 0, -y + 2*g + 13299 = 13291 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.642915 millennia to centuries.\nAnswer: 46.42915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 81999761\nAnswer: -8199976.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 433185 - 1865?\nAnswer: 431320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*-11 + -3*6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 195. Let h(j) = 3*j**2 - 587. Give 17*f(k) - 6*h(k).\nAnswer: -k**2 + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 260013 = 30719. Round y to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14471 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/15 - (-833)\/(-21). Let s = f + 2239\/55. Let w = -17.6 + 17.9. Which is the nearest to -2\/5? (a) s (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**10*c**33)**(-8\/3) assuming c is positive.\nAnswer: c**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -10 (c) -274 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = 3*b. Let c = 7306 + -95050\/13. Is b < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 786815 (base 9) to base 2\nAnswer: 1110010111101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is -0.001953068 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39144.9776 - 39152. What is v rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6403 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((2 - 1) + 6 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-182)\/49)\/((-3)\/21). Suppose d = 2*h + 4*w, 3*h + 5*w = -2 + 36. Solve 0 = 2*p + 7 + h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/59113 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -736*c**3*y**2 - c**3 - 13*c**2 + 45*c*y**2 wrt c.\nAnswer: -4416*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:10 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 13) to base 15.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 525409*f + 1576243. What is u(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*s**2 + 3)*(-3*s**2 - 5*s**3 + 3*s**2)*(1 + 0 - 4)*(5 + 1 + 3).\nAnswer: -405*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34822356197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 51*x = 905 - 65 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e8 + 4?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hmllmjhhllhjmjmm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5 + 1464*o**4 - 171792*o**3 + 3948750*o**2 - 33502653*o + 97483338 = 0.\nAnswer: 9, 138, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z - 52*z - 29*z + 27*z.\nAnswer: -73*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1822 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2764 - 82.34\nAnswer: -2846.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**2 + 482 - 482)*(-n**2 - 5*n + 5*n) - 3*n**4 + n**4 + 0*n**4.\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102114 (base 5) to base 4.\nAnswer: 311101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = 6*r - 2*r, 4*u = 2*r + 18. Is (4971*(-6)\/18)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160 - -70. Let m be 12\/c + (-167)\/(-15). Let y = m + -7. Let i(z) = z. Let w(l) = 5*l. Give y*i(t) - w(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*a - 4*v + 73, 4*v = 2*a - 18. Suppose 11*s + a - 35 = 0. Is 2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:31 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1026, 2057, 3088?\nAnswer: 4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*g + 66*g - 19*g**2 + 6.\nAnswer: -19*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/4 + 34*b**3 - 459*b**2\/2 + 486*b - 1161\/4 = 0 for b.\nAnswer: 1, 3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1970870*j**4*r - 13*j**3 - 135*j**2*r - 2250*j**2 - 105*j*r wrt j.\nAnswer: -47300880*j*r - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2485620 and 428079.\nAnswer: 77054220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4309\/(-2574) - 12\/(-8). Let x = l - -2\/99. Let r = 54 - 53. Which is the closest to r? (a) x (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/17)*d)*d**0\/d)\/(d**(-4)*d*d**(2\/15)) assuming d is positive.\nAnswer: d**(191\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 2*u + 12. Let z be h(5). Let v be (-4)\/(-12)*3\/z. What is the nearest to v in -1\/5, -0.1, -2\/17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**5 + 3*q**4 - 10*q**2. Let k(d) = 30*d**5 + 14*d**4 - 50*d**2. Let t(z) = -28*i(z) + 6*k(z). Find the third derivative of t(u) wrt u.\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16071063*z**3 + 4792831*z**2?\nAnswer: 96426378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 3125, 6220, 10337?\nAnswer: 15476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20599 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -756166 (base 10) in base 12?\nAnswer: -30571a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 + 199. Which is the closest to i? (a) 1\/5 (b) 0.1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/19 (b) -60 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 3*d - 21, -2*c - d = -2. Let c*g**2 - 6*g**2 + 0 - 6*g - 3 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 12*v - 200 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -48 - s**2 - 41 + 88 - s. Determine c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 5*h**2 + 4*h**2)*(5 + 2 + 5) + (-8*h**2 - 31*h + 31*h)*(-13 + 4 - 4).\nAnswer: 152*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31211203 - -2?\nAnswer: 31211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1708619534 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/133578 and 7\/1278.\nAnswer: 9484038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000101 - -1010?\nAnswer: -1111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.3 (b) -9 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -375\/7, 0.0811, 2\/3 in descending order.\nAnswer: 2\/3, 0.0811, -375\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169803935.\nAnswer: 5, 7, 4851541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:14 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -394099 + 217899. Round b to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -241*g + 13011. Calculate k(54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 398390*l**4 + 19839523202*l**3 - 19838328042*l**2 - 39678249636*l = 0.\nAnswer: -1, 0, 2, 99597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 9*t - 11*t - 30 = -3*t, 124*t - 2 = 64*t + 61*t for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.1 + 5.16. Let y = 0.06 - u. Let w = y - 8.08. Which is the second biggest value? (a) 0.4 (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142.9 + -144.9. Suppose 2*l = 3*l + 1. What is the closest to l in j, -0.6, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrfvrnvn. What is prob of sequence vrnn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v - 2. Let o(d) = 38916 - 19456 - 19459. Calculate 2*o(x) + r(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -0.59, 12?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7180.5789 to the nearest 10.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and 4 + 0 + 1578\/(-180).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/7 - 32*a**2\/7 + 102*a\/7 - 72\/7 = 0. What is a?\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/8 + 2)*-14. Suppose 0 = -17*k + f*k - 36. Find the first derivative of 2 - k*d**2 + 6 + 5 - 5 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/17616147?\nAnswer: 8\/17616147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n**2 - 2*n. Let d be x(-3). Suppose -96*j - 12763 - 4369 = 3508. Let k = d - j. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*i + 12, -4*i = -2*o - 2*o - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 48962.\nAnswer: -12730.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102233302323 (base 4) in base 14?\nAnswer: 91cd3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -28262*a**3 - 6*a**4 + 14129*a**3 + 14125*a**3 + 2*a**5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*2)\/(sqrt(9) + (sqrt(9) - ((sqrt(54)*-2)\/sqrt(6) - sqrt(9)))) + -4.\nAnswer: -4 + 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 8*h + 16*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in 11\/3, -390\/11, 2?\nAnswer: -390\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236960 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from ryraaayraryr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(3\/(-18)*2). Let x(l) = l + 13. Let c be x(z). Solve 4*s + 28 = -4*h, 3*s + 2 + 21 = -c*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 28 - 10. Suppose -88 + 22 = -h*u. Let r = -9 + u. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:14 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - c = -22, -5*v = 5*c - 2*c - 56. Suppose -q = q + v. Let g = -3 - q. Solve -f - g*f = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -101 (c) -95260 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0621 - -1.9819. Let g = -0.044 + u. Let h = 8\/15 - 77\/60. Which is the closest to h? (a) g (b) 1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:36 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - 5757385536 + 5757385536.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/6*(-9)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/4 (b) -318897 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*m + 117258 = 2557*m - 25137 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-4) - 18\/(-24). Let m = h + -11. Let d(v) = 5*v - 4. Calculate the remainder when 47 is divided by d(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -166. What is the remainder when 835 is divided by ((-264)\/(-21))\/(36\/v)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*m + 12, 0*o = 5*m + 4*o - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 42593, -0.25, 7\/6, 2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23679 - 23664.449. What is u rounded to 1 decimal place?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + a**2 + 0 + 1\/30*a**5 - 1\/2*a**3 + 0*a**4. Differentiate f(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*r - 2*x, -5*r + 159 = x - 2*x. What is the smallest common multiple of r and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16736 or 16735?\nAnswer: 16736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/6 (b) 1 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 + h - 2. Let p(t) = -2972*t**3 + 21*t**2 + 7*t - 14. What is -7*l(c) + p(c)?\nAnswer: -2965*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*c = 449*c - 230*c + 2330535. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41249 - 41248. Suppose -178 - 410 = -4*n. Is n greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11423, -11425, -11427, -11429, -11431, -11433?\n\"Answer: -2*p - 11421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*6 - 735\/25. Is 0.02 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -3229094.\nAnswer: -5\/1614547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -238504, -238536, -238572, -238612, -238656, -238704?\n\"Answer: -2*k**2 - 26*k - 238476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 1147, 4, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 4 - sqrt(19)) + sqrt(190)\/(sqrt(10)*-3).\nAnswer: -sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8*3\/(-30))\/(12\/30). Put 3, s, 11\/3 in increasing order.\nAnswer: s, 3, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12539873*g**3*y**2 - 91132*g*y**2 + 44*g*y wrt g?\nAnswer: 75239238*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssd when four letters picked without replacement from vssdcvphd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 59351*t + 16143486. Give i(-272).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*110\/(-132)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5520138, 5520137, 5520136, 5520135, 5520134?\n\"Answer: -d + 5520139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*v - 5*v + 43, 5*v + 41 = -3*g. What is the units digit of (-7)\/((-7)\/(-3)) - g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - (-8 + 51)) + -23?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 795805\/21 at most 37894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/648 and 53\/8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.96 - 0.04. Let g = v + 1. What is the third smallest value in -0.4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -804171*s**2 - 5*s + 14870203 wrt s.\nAnswer: -1608342*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386976646 to the power of 1\/2, to the nearest integer?\nAnswer: 37242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (1 + (sqrt(432) - (1 + sqrt(432))) + sqrt(432))*-2))**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8233.674ms?\nAnswer: 8.233674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-182))\/((-18)\/117)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 578470068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 207*b + 58965656 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124396 bigger than 870782\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:02 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, t: 3, f: 1}. Give prob of picking 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*1 + 1)*1*4)**2.\nAnswer: 288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)\/sqrt(20))\/(-1*sqrt(48)))**2 - (-5*(sqrt(931) - (sqrt(931)*-1 + sqrt(931)))*3*3)**2.\nAnswer: -120657581\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(0 + 0 + 2*x**2 + 5*x**2 - 2*x**2 - 4*x**2 + (3 + 0 - 4)*(x**2 - 2*x**2 + 2*x**2) + x**2 + x**2 - x**2).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c + 16. Let v = 1211 - 1208. What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/5 - 5848*n**4 + 1260142*n**3\/5 - 12843188*n**2\/5 + 23468224*n\/5 + 108858112\/5 = 0.\nAnswer: -14663, -2, 8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 26, -46, -0.7, -28, -4 in descending order.\nAnswer: 26, -0.5, -0.7, -4, -28, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*x = 608*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 925 + -522. What is the highest common divisor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/21 + 3634*n**2\/7 - 25476*n\/7 - 87328\/21 = 0 for n.\nAnswer: -5458, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j - 1. Suppose -t = -4*z + 4*t - 22, -5*z - 7 = 4*t. Let m(l) = -l**2 - 5*l - 3. Let k be m(z). Let d be i(k). Solve -1 = -u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w + 5. Let f be 106\/(-22) - (-4)\/(-22). Let x be t(f). Calculate the greatest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1475 + 339?\nAnswer: -113c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*57\/38*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l + 25 = -3*m, 2*l + 2*m + 6 = 0. Suppose 8 - l = u. Solve 4*j - j - u = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6)**(-2\/9)\/(((l**(-1\/11)*l)\/l*l)\/l**14))**(-1\/3) assuming l is positive.\nAnswer: l**(-388\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (10*(-4)\/(-2))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - (-9 - -6 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - -6) + -27 + 82\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 - (-4)\/10. Let r be -1 + 2 - (2 + -1). Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -23. Suppose -5*z - d + o = 0, -2*d + 5 = 5*z + 2*d. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-26))\/(1\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -1. Suppose -2*y + 70 = 3*y. Suppose -5*t = 2*r - t + y, 4*r + 4 = -2*t. Is r less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 100121110?\nAnswer: -100122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b - 5*u = -10, -b + 2*u - 4 = 0. Let w(n) be the third derivative of n**6\/120 - n**5\/60 + 5*n**3\/3 - n**2. Calculate w(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -69a5?\nAnswer: -69a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 466 = 4*u. Let c = 102 + u. Let j be (c - (1 - 0))\/(1 + -3). What is the greatest common factor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14416367, -14416368, -14416369?\nAnswer: -14416370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 2, d: 4}. What is prob of picking 2 k and 2 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1552*r**3 + 377*r**2 - 305*r**3 + 366*r**2 - 742*r**2 + 37*r - 5 wrt r.\nAnswer: -11142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2355)\/530 - (4 - (-77)\/(-22) - 5)?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/840 and -64\/175.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:30 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -32, 4, -3 in descending order.\nAnswer: 4, -0.4, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -42*t - 4. Let n(r) = 2*r. Let i(a) = -2*j(a) - 36*n(a). Find the first derivative of i(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Suppose t + 24 = 4*z - 19, -z + 5*t = -25. Let g(h) be the first derivative of -10 - 2*h**2 + 0 + z*h**2. Give g(u(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 46, 106, 192, 304, 442, 606?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**2. Let n = 23 + -9. Let h(k) = 17*k**2 - n*k**2 - 31*k**2. Give h(d(b)).\nAnswer: -2268*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8281 = 5*b, -2751 = -m + 98*b - 101*b. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260 + 1361*z + 264 - 524 to the form k + t*z and give t.\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82881 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650 and 156.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*s = -4*x + 2923, x - 577 = -3*s. Suppose 2*t = -2*v + 573 - 201, 0 = 3*v - 2*t - x. Calculate the remainder when v is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 25*r**3 + 6*r**2 - 3*r - 33. Let g(w) = -4*w**3 + w**2 - w. Give -b(v) + 4*g(v).\nAnswer: -41*v**3 - 2*v**2 - v + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 106. Let f = 0.9 + 0.1. Let n = v - f. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 - 4*w + 4. Suppose -16 = -q - 3*q. Suppose -1 + 4 = 2*h - d, -q*d = -5*h + 12. Suppose v = 3 - h. Determine u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Let z(c) = 6766*c. Calculate z(j(u)).\nAnswer: -13532*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 129*r**2. Let m(t) = -56*t. What is l(m(n))?\nAnswer: 404544*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109947693 and 1992?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30441 + -24131?\nAnswer: -110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - q + 3 - q. Let n be y(-3). Let u be 2\/8*9*(-16)\/(-12). Solve n = u*r + r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-300)\/10)\/(-10))\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -4. Suppose 0 = 2*p - d - 7. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021212112 + 10?\nAnswer: -2021212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 3 = 4*m + 2*l, -2*m + l = 21. What is the tens digit of 4 - 4\/m*158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**2 - 9*z**2 - 73*z**2 + 30*z**2.\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose 2*b = a + 11, r*a = -b - 0*a - 7. Solve -z = -b*z + 5*v + 16, -z + 6 = -2*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*y = -2*y + 20, 4 = -2*f + y. Solve f = t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66331*a**4*j + 375*a**4 + a**3*j - 12972012*a**2 - 4*a*j + j wrt a?\nAnswer: 1591944*a*j + 9000*a + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1648700*j**4 + 3737829*j wrt j?\nAnswer: 19784400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 20\/3. Let u = 15 + -8. Which is the closest to o? (a) u (b) -2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 3456, 1\/2, 5?\nAnswer: 3456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32001142*h**6*z**2 + 10*h**2*z**2 - 2*h*z - 2592*h + 2*z**2 wrt h.\nAnswer: 3840137040*h**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(250))\/(2*sqrt(125) + sqrt(125) + sqrt(125)) + (3*sqrt(12)*2)\/((-1*sqrt(72))\/sqrt(12)))*-6.\nAnswer: 69*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 10:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (676\/(-24))\/13*6. Let d(p) = 4*p + 56. Let n be d(a). What is the closest to 0.2 in -0.2, 2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d + 418232 + 173282 = -29*d. Let k be ((-2)\/(-9))\/(40\/(-1382046)). Let v = k - d. Find the common denominator of v and -25\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 4036 = -2660. Let f be v\/14 - (-6)\/(-21). Does 16 divide (-32)\/f + 198\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(3\/7) assuming p is positive.\nAnswer: p**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:43 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907955892 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.64772?\nAnswer: -0.518176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1573) + -2 + -5 - ((-2 + sqrt(1573) + sqrt(1573) + 0)*-5)**2.\nAnswer: -157405 + 2211*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 14 + -25 + 33?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 73 = 5*l, -3*z + 153 = -2*l - 15. Let v(c) = -7*c - 25. Let h be v(-8). Let n = z - h. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/5, -7.1, 1\/3?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -169, 225, 881, 1799, 2979, 4421, 6125?\n\"Answer: 131*x**2 + x - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1441 + -1422. Solve m*h + 5 = 14*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -432 in 4\/7, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15677 divided by -4\nAnswer: 15677\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-12)*14*(-13056)\/7616\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 10025?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 5}. What is prob of sequence ll?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*b - 1187*b + 2*b**2 - 2 + 757*b + 2 - 231*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383467573.\nAnswer: 7, 47, 79, 449, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -0.4, -0.17357, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/20 - 11*c**4\/12 + 4*c**3\/3 + 13*c**2\/2 - 3*c - 6. Determine y(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 6*g - 2*g)*(0*g - g + 3*g)*(-g + g + 2*g)*(6*g + 0*g - g) to the form c*g**2 + q*g**3 + s + r*g + p*g**4 and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82021 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9281a + 9?\nAnswer: 92828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*j = -2078*j + 653*j + 658*j + 2023 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 40*b + 139. Let z be t(43). What is the highest common factor of 2360 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-1998))\/(4\/6))\/((-4)\/(-6)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*(-8)\/(-54).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -3, -4, -5 in decreasing order.\nAnswer: 62, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/9 + 33544\/(-5591). Let l = -441717\/78274 + z. Find the common denominator of l and -65\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51342 and 631029.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21896 - -12660. Let y = -240075\/26 - q. Find the common denominator of 33\/4 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(((-5)\/2)\/(-5) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1288452 and -12056371.\nAnswer: -13344823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17314 - 0.34400719.\nAnswer: -0.51714719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x + 202. What is the remainder when 189 is divided by w(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44846 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.47?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:52 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 359, 455, 529, 587, 635, 679, 725?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x*x**4\/x)\/x)*x*x**(-1\/5)*(x**(1\/2)*x*x)**(-30) assuming x is positive.\nAnswer: x**(-386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414878 and 20.\nAnswer: 4148780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:35 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 3*b + 4. Let q be x(-3). Suppose 5*a - 12 = 4*l, 4*a - 2 = q*l + 6. What is the derivative of 3*d**4 - 1 + l - d**4 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = -z + 1, 4*a = 3*z - 32. Suppose 5*n - 3*n = z. Suppose n*g + 42 - 14 = 4*t, t - 3*g - 7 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*t - 8 = 0, 69*b - 16 = 73*b + 2*t. Put -48, -5, b, -1 in increasing order.\nAnswer: -48, -5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/7)\/(((-304)\/(-2240))\/(-19))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 - 145. Suppose -c*g - b + 8 = -12, -5*g + 30 = b. Solve 4*o + 4 = g*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/11 at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -69. Let u be (a\/18)\/(2\/3). What is the nearest to 0 in 2\/15, -3\/2, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57163 and -2.\nAnswer: -114326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79, -152, -219, -280, -335, -384?\n\"Answer: 3*r**2 - 82*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14434 (base 6) to base 9\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/28*12*((-1100)\/(-30) + -24).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 292683*o**4 + 7138172505*o**3 + 21416273643*o**2 + 21416859024*o + 7139050572.\nAnswer: 3*(o - 48782)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, 0 = 3*h - 5*b - 1 - 14. Suppose -d + h*d - 184 = 0. Let i(f) = -6*f - 2. What is the remainder when d is divided by i(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - 2.98. Let t = z - -5. What is the closest to 1\/4 in t, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*r - 10. Solve r = x + 2*k - 13, -15 = -3*x - 5*k + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6*n + 1. Let v be o(6). Let u be (v - 0)*(3 - -22). Let w = 10 + -7. Solve -5*a - b - u - w = 0, -5*a = -b + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 104913.\nAnswer: 5\/104913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/2 of a micrometer in nanometers?\nAnswer: 24500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/29)*d)*d\/(d*d**3*d))**44 assuming d is positive.\nAnswer: d**(-5016\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 363*o**3 - 700*o**3 + 647*o**3 + (-2 + 1 - 1)*(-4 + 4 + o**3) - 2*o**3 - o**3 + o**3 to the form l*o**2 + b*o**3 + q + k*o and give b.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2433158, -2433155, -2433154, -2433155, -2433158, -2433163?\n\"Answer: -s**2 + 6*s - 2433163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29261334 is divided by 2090095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + a, 4*b - 3*a - 1 + 2 = 0. What is the third derivative of -5*w**4 + 2*w**2 + 12 + 2*w**4 + 5*w**b + w**6 - 8*w**2 wrt w?\nAnswer: 120*w**3 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**6\/2340 - f**5\/390 + f**4\/156 + 2*f**3\/3 + 11. Let w(k) be the third derivative of m(k). Factor w(y).\nAnswer: 2*(y - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p**4\/5 + 104127*p**3\/5 + 351807*p**2\/5 - 91182*p = 0. Calculate p.\nAnswer: -35\/8, 0, 1, 4342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 396 and 534.1.\nAnswer: 211503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143833429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-5) - -3234*(-40)\/(-150). What is the highest common factor of 123 and f?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.7 + -29.700078. What is v rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 37 = -2*n, 2*j + n + 4*n - 12 = 0. Suppose 0 = -5*a + 5 + 10. Suppose 252 = a*q - 12. Calculate the greatest common divisor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -7. Suppose -3*g = 5*u - z, 2*u + 5*g = -0*g + 20. What is the first derivative of -4 - 9*i + 5*i - u*i wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783 and 324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 4*l**2 - 106*l - 924. Is 10 a factor of n(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from uuuuuzuzuuz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (-1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 114, 107, 58, -33?\n\"Answer: -21*k**2 + 98*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*j + 23*j + 296*j = -698*j + 84065 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*f = 332*f. Let k(o) = o**2 - 7*o + 5. Let l be k(6). Let m be 8 + -7 - -1*(l - f). Solve m*v - 1 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15396 is divided by 5106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(8\/(-10) + 3\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/17039 or -6.3?\nAnswer: 4\/17039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17239 - -17228. Let s(z) = 27*z + 305. Determine s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4713843 - 45*b + 46*b - 4713838.\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 4*d + 2*d)*(-2*d - d + d) + (2*d**2 + d**2 + d**2)*(1 + 3 - 3).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p**3 + 3*p**2 - 8*p + 6. Calculate the remainder when u(2) is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**43)**(-8\/9) assuming a is positive.\nAnswer: a**(-344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1074, 15 in ascending order.\nAnswer: -1074, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2 - 7*a**2 + 2*a**2 + 5*a**2 + 3*a**2. Let l(g) = -9*g**2 - 7. Let z(s) = 7*h(s) + 2*l(s). Let t(p) = 4*p**2. Determine z(t(b)).\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c3 - -2055?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -27. Suppose -4*f + 2870 = -d*f. Suppose 8*b - f = 3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/7? (a) 3\/4 (b) -1.056 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 14 - 7*s + (3*s + 0*s - 5*s)*(0 - 3 + 1) + (11 + 10 - 6)*(-2*s + 2 - 2).\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1305789, 2611635, 3917479, 5223321, 6529161, 7834999, 9140835?\n\"Answer: -x**2 + 1305849*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1\/((-3)\/(-9)). Let d = -64 - -67. Suppose 7*c**u - 2*c**d + 8*c**2 - c**3 = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/2 - 12*g**2 = 0. Calculate g.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/41 (b) 1\/12 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115164 is divided by 28770.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a - 91 - 44 = 37, 0 = 3*p + a - 5*a + 61 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 4*y - 11*y**3 - 20*y - y**4 + 2*y**2 + 13*y**3 as p + o*y + h*y**2 + d*y**3 + i*y**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9341 + u - 7641 + 5314.\nAnswer: u - 11668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m + 1. Let c be 9\/18 - 5\/2. Calculate the remainder when 24 is divided by q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 9*d + 1554676. Let t = -2869812 + 482474. Let a = t + d. What is a rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159649 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/691 or 1?\nAnswer: 1\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11978 is divided by 60.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 0*w**3 - w**3 + 2*w**3 - 7*w**2. Let y(j) = -j + 7. Let c be y(5). Let z(i) = 4*i**2 + 2 + 2*i - c - i**3. Determine 3*g(x) + 5*z(x).\nAnswer: -2*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214801 = -17868*r + 140958 - 551537 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**3 + 4*w**2 + 11*w - 6. Let r(o) = 155*o**3 + 55*o**2 + 155*o - 85. Suppose 6*y - 4*y - 12 = 0. Let t(a) = y*r(a) - 85*q(a). Solve t(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 329 - 266 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24017337431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o - 111*o + 15491 = -3*b, 3*b + 61937 = -4*o. Which is bigger: -15484 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*l - 294 = -4212 - 1188 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 20. What is the nearest to 1 in -1, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 0*n)*(3 - 3 - 3*n) + (3*n - 6*n - 7*n)*(2*n - 3*n + 2*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**2\/s))**(-45)*s*s\/(s\/s**7)*s*s**(-1)\/s assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -14. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 6527?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3672515 to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - 2. Let j be 7 + 4 + (-8)\/((-16)\/(-18)). Let s(x) = 286*x - 39. Determine j*s(a) - 39*l(a).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c**2 - 1. Let n(g) = g**2 + g - 1. Let m be n(1). Let b be p(m). Find the second derivative of -16 + b - 5*v**2 + 4*v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v + 3. Let r be h(5). Suppose -1 + 43 = r*t - 2*g, -t = 3*g - 3. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -4\/5, -0.1, 0.4, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:36 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 258443*q + 25. Is r(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 6. Is (-2)\/(-4) - 255\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/8 - -3)*8\/(-2). Is (d - 1253\/3)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 3, -0.19, 4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {n: 1, h: 1, p: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 24, 36, 50, 66?\n\"Answer: q**2 + 7*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 19. Let y(z) = 14*z + 58. Suppose -13*j + 2*j + 0*j - 88 = 0. Calculate j*g(a) - 3*y(a).\nAnswer: -2*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -92. Let f be 1\/t*(-18)\/27. Which is the closest to -0.1? (a) 0.03 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l**3 + 17*l**3 + 42*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.353053ml in litres?\nAnswer: 0.009353053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -306. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 211*m + 213*m = 34, -o + 4*m = 26. Factor 3\/4*t**4 + 18*t + 27\/4 + o*t**3 + 33\/2*t**2.\nAnswer: 3*(t + 1)**2*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-45)*(-107)\/(-856))\/(3*3)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c**2 + 4*c + 4. Let b be (-22)\/6 + (-20)\/(-30). Is d(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3 + 27. Let j = -9 - v. Find the second derivative of -13*t**3 + 22*t**j + 3*t - t wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.015 times 34\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -69510?\nAnswer: 69503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 466423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -44. Put 6, 5, h, -3 in decreasing order.\nAnswer: 6, 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 14. Let q(i) = -1131*i**2. Give q(v(k)).\nAnswer: -10179*k**2 - 95004*k - 221676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2167? (a) 4 (b) 2 (c) -0.01 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 31*t + 252. Determine c(11).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1623*800.\nAnswer: 1298400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 94*r**2 + 29*r - 11347. Let q be o(93). Suppose -2*m = -m - 2. Put 6, 1, q, m in increasing order.\nAnswer: q, 1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 1672833?\nAnswer: 1672837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5000505*h**2. Let n(m) = -m**2. Calculate j(n(l)).\nAnswer: 5000505*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29db28 (base 14) to base 7.\nAnswer: 15255251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.064 + -0.004. Let h = 1.2 - t. Let r = -0.12 - h. Round r to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 1858, 4724, 8896, 14380, 21182?\nAnswer: 29308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71398 - 71406. Let b be (-4)\/14*(-1 + 3). What is the closest to o in -1, b, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d + 4, d - 101 = -4*c. Let g = -265 - -124. Let h = 243 + g. Calculate the remainder when h is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 5*k = -5, -61*j + 3*k + 0*k = -56*j + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 681 (c) 10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + p - 4. Let b be l(3). Suppose -32 = 3*y - b. Solve -5*h - y = -o + 6, -h - 2*o = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, o: 9, n: 1}. What is prob of picking 1 s and 1 o?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -59, -69, -83, -101, -123?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 - -273.08.\nAnswer: 276.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 6) to base 12.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 264 + -249.1. Let j = 15 - t. Is 0.5 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 12. Let n be s(-14). Let p(f) = -2*f**2 - 3*f**2 - 13 + 4*f**n - 6*f - 8*f. Calculate the smallest common multiple of p(-12) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651\/1116 - (-5)\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + -0.91. Let v = 901.8999 + -900.9. Let m = v + l. What is m rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14496898 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - w**2 + 2*w**2 - 2*w + 5*w**2.\nAnswer: 6*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/1 - (-10)\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 3802820*n + 11408505 = 0.\nAnswer: -3, 760567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8308954?\nAnswer: 2, 17, 244381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2136 and -1.\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 13 = -5*n + 2, -3*n + 9 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173241 or 173338?\nAnswer: 173241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 16*h - h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*o - 39 + 32, 0 = -4*f + 4*o - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 14*z = 387. Suppose -5*n - 254 = -3*y, 5*y - 13 = 2. Let f = n + z. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1191\/2 + -626. Let y = n + 30. What is the closest to y in 2\/7, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/(n*n**(-1\/2))*n*n\/n**(1\/5)*n*(n*n**5)\/n)\/((n\/(((n*(n\/(n\/(n**1*n)))\/n)\/n)\/n))\/n**(-5))**(-6) assuming n is positive.\nAnswer: n**(363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 4*p**4 + 5*p**4 + (2 + p - 2)*(-6*p**3 + 4*p**3 + p**3).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:19 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 114*y**2. Let b(m) = 3*m - 6. Calculate b(d(x)).\nAnswer: 342*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.56 and -1.803?\nAnswer: 2.81268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(8\/7)*i**6)**(-45)*(i**(1\/2))**36\/((i\/(i\/i**(-1\/4)))\/i**(-4)) assuming i is positive.\nAnswer: i**(-6981\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*y + 954, 5*o - 4835 = -4*y + 6*y. Suppose 4*c - o = 699. What are the prime factors of c?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let h(p) = p**3 - 8*p**2. Let z be h(8). Let y(a) be the third derivative of z*a**3 + 0 + 0*a**4 + 1\/30*a**5 + a**2 + 0*a. What is y(l(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 12062430.\nAnswer: 24124860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*k**2 + 54*k**3 + 43 - 451*k**2 + 223*k**2 wrt k?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 - (0 + -5) - -287. Let u = -276 + v. Solve -3*w - 5*h = 15 + 22, 3*w = u*h + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487578 - 975157 - 13*s**2 + 487579.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/x**(-7) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.116505 years?\nAnswer: 0.8116505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59183173 or 59183171?\nAnswer: 59183171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -31 - 59. Let w be 27 + (i\/(-3))\/2. Let u = -9 + w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2352372 + 5.\nAnswer: 2352377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Suppose -w + 5 - t = 0. Suppose -w*g + 17 = -63. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(sqrt(14)\/(sqrt(21)\/sqrt(3) + sqrt(7)))**2*-4 + (sqrt(2) + 0 + 4 - (sqrt(16)\/sqrt(4))\/sqrt(2)) + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26155, 104691, 235617, 418939, 654663, 942795, 1283341?\n\"Answer: f**3 + 26189*f**2 - 38*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-3\/7) assuming f is positive.\nAnswer: f**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - 59 + 212 - 50 - 49 - 108*j as c*j + y and give c.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.5 (c) -5009805 (d) -0.3 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67.3548 + -0.0452. Let r = k + 67. Let g be (2\/(4\/(-3)))\/3. Put g, 1, r, 4 in decreasing order.\nAnswer: 4, 1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2465, 12154, 28311, 50936?\nAnswer: 80029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226595 (base 10) to base 15.\nAnswer: -47215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g**2 + 5*g + 6*g**2 - g**3 + 1. Let b be f(5). Let r be b + -3 - (-8 + -1). Solve -5*o - 17 = -r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 19. Let y be 546\/210 - (5 - 3). Put -4\/7, y, 0.5, i in decreasing order.\nAnswer: y, 0.5, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 9*j + 16. Suppose -3*d + 12 = 2*v - 12, -d - 4*v = 2. What is the second derivative of 4 + 137*y**j - 144*y**4 - 4 + d*y wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let j(c) = -134*c**2 + 211*c. Determine j(g(r)).\nAnswer: -536*r**2 + 422*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4984.108 + -4983. What is n rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 298. Is 5 a factor of (x + -3 - -1)\/((-6)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20 = 0, 5*x + 6 = 3*p - 6. Solve 2*b + x = 4*c - 4, -c - 21 = 5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6991025337?\nAnswer: 3, 776780593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2148949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*f = 19552 + 7304 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 1336 + 3218 = -3921. Solve -321*l + 126 = -r*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 2*t + t)*(-4 - 2 + 3) + 70*t - 127*t + 250*t + (0*t - 2*t + 4*t)*(-4 + 2 + 1) to the form g + o*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 98 = -2*y, 2*y = -3*d + 146. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -n, 2*n - 5 = 3*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -16.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -285\/352 - -78879\/105248. What is the common denominator of r and 10\/91?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 50*j - 8*j - 108 = 0. Solve 6 = 5*q + 4*k, -q - j*k + 5*k + 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 103*a**2 + 120*a + 55. Is h(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*c + 13 = 0, 2*t - 5*t + 3 = c. Suppose v = t*v - 5. What is the units digit of 508\/v - (-16)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17079 or 17133?\nAnswer: 17133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y - 2. Let k be n(3). Suppose 2*h + 2*v + k = 0, -h = 3*v + 1 + 11. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41547 divided by 193.\nAnswer: 41547\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60.71124 months?\nAnswer: 5.05927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yby when three letters picked without replacement from {a: 5, y: 8, q: 2, o: 1, c: 3, b: 1}?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*o - o. Suppose 8 + 0 = 5*c + 3*x, -3*c + x = -16. Calculate the remainder when 15 is divided by (4 - (c + -3)) + o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 = 0, 2*n = -r - 3*r - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - sqrt(132)*-1)\/sqrt(12) - ((sqrt(11) - sqrt(275)) + 5)**2 - sqrt(66)\/(1*sqrt(54)).\nAnswer: -201 + 125*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-809*o**2 + 502*o**2 + 489*o**2 - 3*o**3).\nAnswer: -6*o**3 + 364*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-19*80\/5700)\/(246\/15)\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-55) + 138\/33. Suppose 14 = -g*x + 42. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 11*p**2 + 5*p - 160. What is f(12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 711756 and 711757 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 - (2 + 0\/3). Suppose -i - j = 4. Let z be 1 - 1 - 60\/i. Put z, -5, -1 in descending order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3464338929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f - 17. Let q be l(5). Let r = q - 9. Let k(i) = -i + 19. Let p be k(r). Solve 2*n = 3*v - 5, -2*n - n - 2*v - 1 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2))*-1 - sqrt(350)\/sqrt(7).\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1862 divide 642779539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143*h**6 + 102*h**6 + 66*h**6 + 730*h**2 + 274*h**2 wrt h.\nAnswer: 37320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17253 and 22113?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11111*p**2 + 11207*p**2 - 22390*p**2.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419 + 679. What is the smallest common multiple of 1 and m?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -s - 0*s. Let p = -63 + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3*d**5\/20 + d**4\/4 + 5*d**3\/6 - 8*d**2 - 28*d. Let m be c(-7). Let h = 1992 + m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.271006 and 0.5.\nAnswer: 4.135503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o, -l = -o - 2944 + 963. What are the prime factors of l?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*q + 6570*q + 7985*q.\nAnswer: 14164*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 + -38)*(-3 - (-2 + (-34)\/36)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 23*r = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605560110.\nAnswer: 2, 3, 5, 347, 58171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**3 + 23 + 0*s**2 - 3\/2*s**4 - 53*s. Find the first derivative of i(t) wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqk when three letters picked without replacement from {k: 1, f: 1, q: 2, h: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*b**3 - 41*b**2 + 2 wrt b?\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 287760 and 88944.\nAnswer: 4891920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 24. Suppose -8 = -t + 5*p + 12, d = -5*t - 5*p. Find the first derivative of t + 3 - 2*x + 0 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -35*l + 2. Let o be s(3). Let n = -52 - o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12587*x - 5*y = -12590*x + 4, -1 = 2*x - 7*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 8)*(-18*s**2 + 7*s**2 - 9*s**2)*(-2 - 5 + 2).\nAnswer: 800*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -l - l - 5*f, 0 = l + 5*f + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/957 (b) 0.2 (c) -4 (d) -0.3 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -159. Let p = n + -35. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2\/3*g**3 + 0*g**2 - 1\/2*g**4 + 0*g - 7. Solve q(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxfxx. What is prob of picking 1 f and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -14)\/(2\/(-4)). Let h = x - -39. What is the remainder when (1\/(-3))\/((-1)\/183) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -3.902\nAnswer: -0.7804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20714 and 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2190*l + 32. Let b(p) = 733*p - 10. Determine 13*b(u) + 4*t(u).\nAnswer: 769*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 13*s + 2. Let m be t(12). Let h be (4\/m)\/(144\/90). Which is the closest to 0.1? (a) -0.1 (b) h (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3 - c + c - 10*c**3 + 23 wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32045*h*i**4 - 58137*h - 1 with respect to i.\nAnswer: 128180*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 305, 1219, 2133, 3047, 3961, 4875?\n\"Answer: 914*s - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -9. Solve -1 = t + a, k*a = -5*t + 3 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2567 + -19.2383. Let c = v + -0.005. Let z = 13 + c. Round z to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (215\/2)\/(2635\/1054)*1*-1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 2 = -w. Suppose 0 = j - 11*j - 190. Let t = w - j. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -9775, 578.\nAnswer: -9775, -2\/3, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2663*i - 22 + 17867*i - 11 + 33 to b*i + c and give b.\nAnswer: 15204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1164?\nAnswer: 1\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 h when three letters picked without replacement from {h: 2, o: 1, z: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9) - 295\/(-240). Let z(u) = -2*u**2 + 109*u - 355. Let g be z(51). Sort p, -0.2, g in increasing order.\nAnswer: -0.2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, 3, 6.\nAnswer: -4, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 2*x**6\/105 + 3*x**5\/7 + 16*x**4\/7 - 128*x**3\/21 + 123*x. Determine n, given that t(n) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-422)\/(-6) - (-18)\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/((-3)\/((-3)\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2653*l - 9 = -2656*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 312, 310, 308, 306, 304, 302?\n\"Answer: -2*h + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -5)\/((1\/(-5))\/1). Solve 1 = o*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 140, 212, 286, 362, 440?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3886 - 3171. List the prime factors of d.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/6446 + 206263\/19338. Find a such that 52*a**2 + k*a**3 + 98\/3 + 2\/3*a**4 + 224\/3*a = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2387 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/9)\/(1\/270*4). Suppose 0 = 5*n - 4*r - 2250, j + 623 = 3*n - r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74131369?\nAnswer: 13, 19, 23, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + -8 + (-39 - -29 - -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34053?\nAnswer: 3, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-27)*d*d)\/d)\/d**(-4)*(d\/(d**(-1\/52)\/d))\/(d\/(d**(-2\/19)\/d)) assuming d is positive.\nAnswer: d**(-20833\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71851 is divided by 557?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/15)\/(344\/30). Let w = -2\/43 + k. What is the third smallest value in w, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33*o**2. Let u(k) = k - 1. Let y(s) = -s**2 + s + 1. Let n(c) = u(c) - y(c). Let g(q) = 5*q**2 - 9. Let m(t) = 2*g(t) - 9*n(t). Determine m(j(a)).\nAnswer: 1089*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8497914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 v when three letters picked without replacement from veevveveveeeeeyvb.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 28\/6. Let a(s) = 4*s**3 - s**2 + s - 1. Let b be a(1). Let m be 15*(4\/6)\/2. Put b, m, o in descending order.\nAnswer: m, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 236333500?\nAnswer: -236333511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -849835 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 - -19) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 - d**4\/12 + d**3\/6 - 14*d. Let t(n) = -6*n**3 + 3*n**2 - 3*n. Give -3*f(p) - t(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.59671 seconds in nanoseconds?\nAnswer: 32596710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*q**2*x + 28988*q**2 + 12*q*x**4 wrt x.\nAnswer: -65*q**2 + 48*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7093 + -7084. Which is bigger: 450\/53 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29aa7 (base 16) to base 3\nAnswer: -22200002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33873.3nm?\nAnswer: 33.8733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 + o**5\/30 - o**4\/24 + o**3\/6 + 2*o**2 + 37. Let s(a) = -4*a**3 - 9*a**2 + 5*a - 5. What is -4*s(t) - 18*u(t)?\nAnswer: -2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12. Let q(u) = -u - 13. What is 2*q(v) - 3*w(v)?\nAnswer: -2*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28476*y**3 - 112*y**2 + 4211*y. Let l(r) = -5695*r**3 + 21*r**2 - 842*r. Let w(j) = 16*l(j) + 3*x(j). What is the second derivative of w(n) wrt n?\nAnswer: -34152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797578455 to the power of 1\/2, to the nearest integer?\nAnswer: 28241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 117 = 0. Suppose 3*p - y = -2*t, -5*p + 4*p + 115 = 2*t. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*n + 1166*n - 602*n**4 - 2003*n**4 wrt n.\nAnswer: -31260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5358.\nAnswer: 1\/2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -43*b**3 + b**2 + b + 1. Let l be n(-1). Suppose -17*y + 19*y - l = 0. Calculate the remainder when 167 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 7*o - 11*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 34. Let z be a(-11). Suppose z*c + 5 = -35. What is c rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*u + 2*u - 10, -4*u + 21 = 5*h. Let m(d) = 34 - u*d + 3*d + 4*d. Let i be m(-11). Sort 5, i, -6 in increasing order.\nAnswer: -6, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 88, 3.2, 0.04, -4, 0.1, 6\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58525 is divided by 186?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 21*h**2 + 58*h - 34. Calculate v(-9).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11700, 239, -18862, -45603, -79984?\nAnswer: -122005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -488171, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2049 + 2049. Which is greater: r or -243?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-192)*30*((-1)\/7)\/(14\/(-49)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**2\/5 - 14*h - 34\/5 = 0?\nAnswer: -17, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2744) - (sqrt(2744) + (sqrt(2744) - 2*sqrt(2744))))\/(-1*sqrt(288)).\nAnswer: -7*sqrt(7)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 8. Suppose 4*s = 4*t - 36, 0*t + 2*t - 4*s - 26 = 0. Let r(f) = -2*f + 0*f + t*f**2 + f**3 - 6 - 6*f. Give r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 752 and 1888?\nAnswer: 88736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*6\/72)\/1*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -528 equal to -528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 9. Is z(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5 - 1204*k**4 + 70741*k**3 + 71946*k**2 = 0.\nAnswer: -1, 0, 63, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 - 3*p**4\/8 - p**3\/6 + 4*p**2. Let c(i) be the first derivative of v(i). Determine c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**3 + 20*s**2 - 15*s**3 + 19*s**3 wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8.6 (b) 9 (c) -2\/11 (d) -5 (e) -0.07 (f) -2\/55 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*v + 30, -3*w + 0*v - 13 = 5*v. Suppose h + 12 = -3*h, 6 = l - w*h. Let s = 8 + l. Solve -3 = -g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o + 42 = 0. Suppose 7 = 4*s - 49. What is the greatest common divisor of o and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.729969 rounded to 3 dps?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h - 2. Let x be o(-1). Let y(j) = j**3 + 5*j - 2*j + 16*j**2 - x*j**2 - j. Let r = -5 - -3. Calculate y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1.6, 2\/13, -0.3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-18)*3\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 7) + 67 + -48?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-936)\/325)\/(-24)*(-15)\/(-18). Which is the second biggest value? (a) 5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 - -468.4. Let s = 9 - k. Let u = 4 + -7. What is the closest to -2 in u, s, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 + 4*v**2 + (-2 - 2*v + 2)*(2*v - 1 + 1) + 2*v**2 - 3*v**2 + 0*v**2 + 5*v**2 - v**2 - 2*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -11*z + 90. Let v be 26\/z + (16 - 12 - -2). What is the third biggest value in -6\/13, 1\/4, v, 2\/17?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(0*t - 9*t + 2*t) + (4*t + 0*t - t)*(20 - 22 - 21) to the form j*t + v and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 37152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109242 divided by -5202.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 6*u**2 - u + 8. Let f be h(6). Suppose 0 = f*o - 0 - 4. Solve -8 = o*p + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -15. Suppose 0*s = v*s - 25. Let u = -47 + 50. What is the remainder when s is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 17. Let y = u + -18.84. Round y to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*c + 13392 = 5403*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 3. Let o(k) = 3*k**2 + 4. Let f(b) = 4*g(b) - 3*o(b). Let u(q) be the third derivative of -q**4\/12 + 2*q**2. Give f(u(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510990, -2043959, -4598904, -8175825, -12774722, -18395595, -25038444?\nAnswer: -32703269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80.1 - -831.1. Let s = h - 712.2. Round s to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.16975 to one dp.\nAnswer: -105.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 16. Let m be y(13). Suppose -8 = 2*v - m*v. Suppose -v = -5*i - 3. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241432?\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 - 6\/(5*(-21)\/27895) a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -776*m**2 - 4660*m - 8. Give j(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -69 + 152 - 46 - 41*j + 16*j**3 - 62. What is the first derivative of c(d) wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 724*l + 2897\/4.\nAnswer: -(l - 1)*(l + 2897)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/2 - 42599*l**2 - 1805438425*l\/2 + 196979887692 = 0.\nAnswer: -42707, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 153. Let s = t - 66.73. Let z = -0.73 - s. Sort 0.2, 3\/7, z.\nAnswer: z, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(10*u + 5*u + 0*u) - 5*u - 4*u + 13*u to g*u + v and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/15)\/17*(-118)\/11151*-45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33630 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 1158*r - 3458*r + 1144*r + 1157*r.\nAnswer: r - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqqtbqtgbtwrtqtqrwq. What is prob of picking 1 b and 3 q?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361*(-11 - -5)\/(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - 50. Let v = -67 - h. What is the third derivative of -5*u**2 - 674*u**6 - 14*u**2 + 658*u**v wrt u?\nAnswer: -1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 - (5 + 1) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-13)\/(-26)*-38 - -2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -0.1. Let w = 4290553\/258610 - -1\/11755. Let g = w - 144\/11. Which is the nearest to 1? (a) g (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258239?\nAnswer: 281, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 times -12\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/6 + 6629*d**3\/6 - 10995829*d**2\/6 + 10936213*d\/2 + 32927907 = 0.\nAnswer: -3, 6, 3313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 - 74*m**3 + 44*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -2\/11 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26498 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -d. Let s be 3*(-2)\/(-15)*d. Suppose 20 = 4*r, -s*q - 4*r + 23 = -q. Solve -z - q = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707446011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 13*c**2 + c - 1. Determine d(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5158297626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -2022\/359?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*m = -23, y + 4*y - 2*m - 7 = 0. Solve 6*g - 9 = y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1155 and 10083480?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4929 and 8215.\nAnswer: 24645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 12*o + 11. Let u be r(-12). Let n = u - 6. Suppose -5 = -5*t + n. Solve -4*f = 2*h - 5*f - 8, t*f = -2*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105244 and 988696?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223111 (base 5) to base 15.\nAnswer: -b906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51455377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + x - 4. Let v(b) = -b**2 - b + 1. Let w = 10 - 7. Determine w*v(y) + k(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 134 + 30. Round t to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2*j**2 - 2 + j + 5 - 1 in the form g + y*j + n*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 2. Does 4 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 2. Let m(z) = -z. Let f(u) = 4*u - 18. Let x(s) = f(s) + 6*m(s). Let h be x(-10). Let q(c) = -1. Give h*q(l) - g(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 8. Let p be q(7). Let z(b) = 266*b**2 - 1. Is z(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 1. Suppose z + 9 = 4*z. Suppose -2*b - 2*b = -8, -3*p - z*b + 12 = 0. Let j(a) = 10*a - 2 - 1 + 4 + p. What is 2*j(y) + 7*o(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let w(c) = -15*c**2 - 9*c + 9. Let v(m) = 8*m**2 + 5*m - 5. Let j(h) = -9*v(h) - 5*w(h). Give j(s(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*h - 142, -134 = 2*h - 5*i + 12. Let g = h + 6. Let o = -28 - g. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -4 (c) 1\/231 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.8. Let y = 67\/4 + -17. Which is the closest to y? (a) 2\/11 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -21087e?\nAnswer: 210872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2263246, 2263245, 2263244?\nAnswer: 2263243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/144)\/(18\/216)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = 2*a. Let x be -5 + 6 + (a - (-1 + 2)). Solve -3*k - g - 13 = 0, 3 = 2*g - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1389 + 1451. Solve 2*x + s - 72 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crl when three letters picked without replacement from {n: 2, r: 1, c: 1, l: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-35) + (-6)\/(-14). Suppose u = 3*n - 7*t + 3*t + 7, -4*n = 4*t - 28. Suppose -4*a + 6*a - 8 = 0. Solve -a*y - n = -2*h - 7, 14 = 5*y + 2*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 31*x - 15. Calculate o(-7).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:52 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**3 - 3*h**2 - 1. Let r(l) = -4*l**3 - l**2. Let n = 59 - 57. What is n*y(s) - 5*r(s)?\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 2*t**3 + 5*t**3)*(-1 - 2*t + 1) + t**4 - 2*t**4 + 4*t**4.\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 - -737. Is 1\/2 - t\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/55 + -48\/385. What is the closest to 4 in b, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -525650\/11 or -47785?\nAnswer: -47785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 - a**2\/2 + 18. Let g be (-2)\/4 - 2\/4. Let i be (0 - (g - 1)) + -3. Let s(o) = -1. Give i*b(v) - s(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*3\/10. Suppose -5 = -2*d + 5. Which is the closest to 2\/5? (a) r (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o + 13*o = 2022987. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 26296\/1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:32 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 + 6 = 0. Find the third derivative of 58 - 58 - 18*f**p + 11*f**2 wrt f.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + (-6)\/(-27). Let j = 5 - m. What is the greatest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 53 = 2*v, 5*d + 5*v - 36 - 69 = 0. Suppose 4*x + d = 5*r, 7*x - 2*x + 5 = 0. Solve -3*f = -0*f + r*l, 1 = -f - 2*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 20640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 130*o + 1195. What is f(40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15504 - -72.84504. Let c = z + -73. Let p = -0.19 + c. What is the third biggest value in -2\/19, p, 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11193, -11239, -11317, -11427, -11569, -11743?\n\"Answer: -16*z**2 + 2*z - 11179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -22, 0.151, 15?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.7 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 - 270*c + 4696. Calculate m(41).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20976 divided by -912\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 193*i**2 + 5*i - 2. Let l be d(-3). Suppose -611 = -3*y + l. Suppose 8*t = t + y. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -957*t - 8613. Calculate z(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 - 5*d**3\/6 - 3*d**2\/2 - 5*d. Let t(j) = -16*j - 37. Let u be t(-2). What is z(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.1. Let g = 0.41 + -4.01. Let z = g - -3.5. What is the smallest value in z, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2\/4*-2. Let q(v) = -v**2 - 7*v - 4. What are the prime factors of q(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*w**4 + 6*w**4 + 16 - 8*w**4 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let l = 49 - 47. Let s(n) be the first derivative of 0*n + 1\/2*n**l - 3. Determine s(o(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -930.01156 + 9.73056. Let j = l - -921. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 10 + 37 - 3*d**4)*(2 + 21 + 1).\nAnswer: -72*d**4 + 1056","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 142, 218, 296, 376, 458?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-3)*36\/10. Calculate the greatest common divisor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/9 - 40*s**3\/9 + 40*s**2\/3 + 800*s\/9 - 1792\/9 = 0.\nAnswer: -4, 2, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1007 + 808 - 543 + 1037*h + 375 wrt h?\nAnswer: 1037","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*n = 40, 0*j - 3*n = -2*j - 40. Let k be ((-4)\/7)\/(j\/70). Let u be (1 - k)\/((-1)\/4). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/592 and -47\/240389.\nAnswer: 3846224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-4) - (-4)\/(-8). Suppose s + 7 = 2*v + 2*i, -4*v - i + 31 = 0. Let b(p) = -4*p**2 + 9 + 2*p**2 - 2*p + 3*p**2 - 7*p. What is b(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + -6 + 2 + (-2071 - -2099)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*sqrt(121) - sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*t + 136*t - 34*t + 55*t as b + o*t and give o.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133 + -1121?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Let q(n) = -2*n + 0*n + 4*n + 1 + n**2. Let a be q(w). Let y(t) = 6*t - 3. Let h(v) = -17*v + 8. Calculate a*h(o) + 11*y(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41056, 41060, 41066, 41074?\n\"Answer: m**2 + m + 41054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 - i - 4. Let k be d(-6). Suppose -k*f - 4 = -4*f. Let o(v) = 14*v**2 - 4*v + 6. Is 27 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59139, -59192, -59279, -59400?\nAnswer: -59555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/51 (b) -0.4 (c) 5 (d) -0.3 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let y = -4 + b. Let w be (8\/(-18))\/(-17*8\/36). Sort 4\/7, y, w in decreasing order.\nAnswer: 4\/7, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 - 32249*u\/2 + 5556595 = 0. What is u?\nAnswer: -32590, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110664 divided by 9222\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*l - 11451 = 12057 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + 7 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(12\/(-365)) + 8\/(-12). Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 27*f**2 + 13*f + 406. Does 15 divide d(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206004821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, 9, 51, 115, 207, 333?\n\"Answer: c**3 + 2*c**2 + 13*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334 + 673. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-63*1)\/(-3). Suppose -q + i = 5. Let c = 15 + 45. What is the highest common factor of q and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and 0.751.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47935669 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106\/115 + -12\/23. Let n = 27 - 29. Suppose p - 6 = -2*p. What is the second smallest value in p, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9975, 9983, 9995, 10011, 10031, 10055?\n\"Answer: 2*k**2 + 2*k + 9971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549\/(-61)*2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:09 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(5*y**2 - 2*y**2 - y**2) + 5*y - 5*y + 3*y**2 + y**2 - 4 + 4 + y**2 - 2*y**2 - y**2 + (0*y - y + 0*y)*(-1 - 2*y + 1) - 2*y + y**2 + 2*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*x + 153*x = 2*f + 2, -5*x - 34 = -2*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*p - 10 + 2, 0 = -p - 3*z - 2. Let o = -34 + p. What is the units digit of o\/(-8) + (-2)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013207016908 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 - 16*u**2 + 8*u + 8. What is a(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11555.354 rounded to the nearest ten?\nAnswer: -11560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**3 + 38*j**2 - 6*j = 0 for j.\nAnswer: 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*m + 1903 = 2*m, -5*v + 4*m + 9515 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 12. Suppose -64 = h + 20. Let q be -3 + 3 + (0 - h). Calculate the greatest common divisor of q and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + -8.4. Let z = u - -7. Let b = 3.7 + -0.7. What is the second biggest value in z, b, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12009*o - 444331. Give y(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28622 * 620\nAnswer: -17745640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.2? (a) -3 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2628 and 2920.\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n - 539. Calculate the remainder when 64378 is divided by s(-43).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 2055*c**2 - 32277*c + 110385.\nAnswer: -3*(c - 669)*(c - 11)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32129, 32127, 32125?\nAnswer: 32123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -43) + 36 - (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 2144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 8. Let v be q(-7). Let g = -4 + 6. Put v, 3, g in ascending order.\nAnswer: v, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198625.\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r - 17*r - 18*r + 1.\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 10. Suppose 31 = -5*q + 1. Let r be l(q). Suppose 16 - 40 = -r*i. Solve t - 10 = -5*g, -6 - i = 3*g - 3*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10140*z = 10149*z - 162. Let a = -5 - -20. What is the lowest common multiple of z and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 0 - 33 + 12 + 14 - o**2 + 11.\nAnswer: 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(175))**2.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1251966008 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g + 70463. Let o(v) = -6*v. What is q(o(l))?\nAnswer: 36*l**2 + 18*l + 70463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95050 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 9 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128754 is divided by 21457?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*i = 880, -373 = -2*h + 3*i + 2*i. Let c = h + -123. What is the common denominator of -71\/4 and ((-96)\/c)\/((-10)\/(-28))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 - 11 = 0. What is the third derivative of -q**o + 0*q**6 - 3*q**6 + q**6 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-120) - (-122)\/(-12). Let f(i) = -i + 97. What are the prime factors of f(b)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 2*v + 2. Let k(y) = -3*y**2 + 3*y + 3. Let h(q) = 2*k(q) - 3*m(q). Let a be 32\/(-14) + (-4)\/(-14). Let t be a\/6 + 2\/(-3). Determine h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -1. Let t = 0.3 + j. Let h = 0.8 - 3.8. What is the closest to t in 0.1, -5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35689896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/1)\/4*4\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-4) - -5)*4. Let u = -147.1 + 156. Let w = u + -9. Which is the second smallest value? (a) 5 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/4, 3\/2, 3\/4, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {p: 1, h: 3, z: 6, y: 3, i: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 278062 divided by 28\nAnswer: 139031\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/3842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.9. Let t = 4.721 - -0.239. Let i = t + 0.04. What is the closest to 2 in i, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274905712 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.8. Let n be (9 - 3)\/(24\/(-16)). Which is the second biggest value? (a) n (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + 3 + 14\/(-7). Solve -99*c + 102*c = f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -10*x - 340968, -3*x + 97945 = -4*u + 779864. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -45949, 9, -5\/6 in increasing order.\nAnswer: -45949, -5\/6, 0.06, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 6 - 2. Let z be (-2)\/u*6\/(-3). Let r = z - 0. Sort -5, 3, r in ascending order.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 65*g**2 + 483. Let k(j) = 2*j. Give k(r(p)).\nAnswer: 260*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302509?\nAnswer: 229, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(10\/708) + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14397344 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 45. Suppose 180 = 3*c - 2*b, 43*b = 2*c + 42*b - 118. Calculate the least common multiple of a and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -6019.\nAnswer: -5\/6019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 - 4*d**2 + 1. Let h(n) = -n**3 - n**2. What is b(j) + 4*h(j)?\nAnswer: j**3 - 8*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-114) + -2 + 80\/(-38). What is the closest to o in 2, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339973895?\nAnswer: 5, 4423, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 3 + 3*v + 1)*(12 + 3 - 14 + 68*v).\nAnswer: -136*v**2 - 138*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -23216644?\nAnswer: 23216630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -395725 and 0.5.\nAnswer: -395724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0648? (a) 3\/7 (b) 1\/3 (c) 0.5 (d) -0.2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982 a factor of 225864126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.3. Let g = 0.2 + m. Let d be (138\/(-21))\/2 - -3. What is the third biggest value in d, 2\/7, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 623*v*z**4 - 2*v*z**3 + 15*v*z + z**4 - 1393*z**2 wrt z.\nAnswer: 14952*v*z - 12*v + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 300007199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215610 and 50070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 28*r**2 + 212*r + 245. Let o be u(-14). Solve 0 = -24*l + o*l - 27 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221211020 + 1200100?\nAnswer: 1000111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 9760, 241 in descending order.\nAnswer: 9760, 241, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (-5 - 8522\/(-351)). Let d = 306\/13 + y. Find the common denominator of 83\/6 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*d - 79*d + 216*d + 2*d**3 - 61*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n. Put 3, n, -4, 2 in increasing order.\nAnswer: -4, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - m - 3*m)*((m - m + 2*m)*(-3 - m + 3) - 3*m**2 - 8 + 8) to j + t*m + c*m**2 + o*m**3 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 169. Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 6, 0 = w - 5*y + 9*y + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -220 (b) 8\/9 (c) 40 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 258 = -j. Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p + 19*m - 18*m - 51, -3*p + 11*m - 14*m + 33 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 52. Let y be v(-24). Is (-8)\/y + (-24232)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 597492941 and 17.4?\nAnswer: 597492923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 32. Suppose -18 = s*i + 2*i. Let u be ((-3)\/18 - (-10)\/(-12))*i. Solve -n - g + u + 0 = 0, 2*g = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.838 + 0.118. Let k = w - -3.42. What is k rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**3*m**3 + 12*a**3 + a**2*m**3 + 3 wrt m?\nAnswer: 27*a**3*m**2 + 3*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 3156149.35.\nAnswer: 3156146.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23232 + 1?\nAnswer: -23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 16*g. Let n = 3 - 20. Let s be v(n). Let u(p) = 25*p + 1. Let q be u(2). Calculate the highest common divisor of q and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m - 3*j - 3, 2*m = 5*j + 31. Find the second derivative of 42*h**3 - 11*h**m + 21*h**3 - 6*h**3 - 16*h wrt h.\nAnswer: 276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-282)\/(-7))\/(2\/14) + -2. What is the greatest common factor of 480 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13322 = -7261*c + 487687 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 114e?\nAnswer: -114b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 3*h + 11060 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40465 - -80929\/2. Which is bigger: 707 or k?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 2570*y**4 - 18030*y**3 - 23220*y**2 + 69525*y + 139158.\nAnswer: (y - 2577)*(y - 2)*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -t - 3*t. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56349607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65903786.\nAnswer: 2, 13, 23, 191, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/5 (b) 37 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2. Suppose 104*v - 102*v = 0. Suppose -2*k - 20 + 18 = v. Calculate x(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12793 + -8338. Let f = p - -41435\/2. Let t = 367 + f. Calculate the common denominator of t and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u*u*u\/(u*(u**1\/u)\/u))**(-21))**(3\/8) assuming u is positive.\nAnswer: u**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/57299? (a) -18 (b) 0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 83. What is the tens digit of (-1 + -51)*(126\/8)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184075 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199189842 and 5958.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**2 + 6 - 2*f**2 - 6 as t + z*f + y*f**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**8\/560 - r**6\/180 - 2*r**3\/3 - r. Let q(z) be the second derivative of t(z). Find the third derivative of q(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 932 = -23. Let m = b - -305. Solve -28 = -5*v - m*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4863.1965 + -4864. What is l rounded to 2 decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 10. Let n(q) = q**3 - 9*q**2 - q + 4. Is n(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3 = -s - 5*w, -3*w - 34 = -4*s. Suppose -s = -4*r + r + 4*y, 0 = 2*r + 4*y - 18. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 520\/(-24)*-3*1. Let u = o - 60. Solve -4*z = -2*f - f + 17, 2*z = -u*f + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 4328130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + k**4 + 1\/5*k**5 + 4\/5*k**2 + 0*k + 8\/5*k**3.\nAnswer: k**2*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58555\/(-312851) + 6\/34?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5653 = -867*z + 940*z - 2596 for z.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227057\/18 + 12611. Let p = 7119099\/4604875 + -777\/24625. Let y = p + 13\/170. What is the common denominator of c and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039.092 times 0.5?\nAnswer: -1019.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 + 5483367*q\/8 - 5483373\/4.\nAnswer: 3*(q - 2)*(q + 1827791)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 813669083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -479052 or -479050?\nAnswer: -479052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y**1\/y))**(-3\/26)*(y*(y**(-2)\/y*y*y)\/y)\/(y*(y*y**(1\/3))\/y) assuming y is positive.\nAnswer: y**(-209\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let a = 0.1 - 0.1. Let k = 12 - 14. What is the closest to a in k, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -415.15 + 281. Round c to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1969*r - 3*h = 1967*r - 25, 2*h - 15 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -3, 3, -75, 8.09, -2, -2\/7?\nAnswer: 8.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -0.4, 742.\nAnswer: -0.4, 4, 5, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wem when three letters picked without replacement from enwmmezztznewtne.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -131. Let n be (-12)\/15*(1 - 6). Suppose -25 = -n*d + 7. What is the lowest common multiple of r and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317165 + 440598888.\nAnswer: 440281723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/437, -2\/7, 14\/23, -5, 0.09?\nAnswer: 1\/437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 5*n**4\/6 + 7*n**3\/6 - n**2\/2 + 158*n - 7. Give r(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -374)\/(10 + (-2519)\/253)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 227 - -85?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 37. Determine h(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -41*l**2 + 16*l + 718. Let u(n) = -14*n**2 + 5*n + 240. Let g(m) = 6*p(m) - 17*u(m). Find the first derivative of g(i) wrt i.\nAnswer: -16*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.4, 3, 0, 0.2917.\nAnswer: 0, 0.2917, 0.4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 6.06. Let v = a - -0.04. Let u = v - -3.02. What is the smallest value in -1, u, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2000)*-4)\/(sqrt(40)\/(6*sqrt(4)*-1)).\nAnswer: -480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12803.973 + -12804. Which is the fourth smallest value? (a) 0.5 (b) 1 (c) w (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/4 - 3*m. Let p(i) = -4*i. Give p(d(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-33) - (-14818)\/(-341). Let q = k - -499. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 50 (c) 2755 (d) 1.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83630 - -3?\nAnswer: -83627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4254147?\nAnswer: 3, 157561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/28*4 - (-3 + 6). Let w be ((-3)\/c - 1)\/(8\/584). Determine r so that -37\/2*r**4 + w*r**3 - 2 + 7\/2*r**5 + 14*r - 67\/2*r**2 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 101867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 7. Let i be t(4). Let a = 18 - 18. Suppose a = l + 33 - 36. Let d(p) = 2*p**2 - 2*p + 4. Let j(z) = z**2 - z + 2. What is i*j(w) + l*d(w)?\nAnswer: w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -95. Calculate the greatest common factor of 135 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*g**3 + 450 + 1356*g + 2061\/2*g**2.\nAnswer: 3*(g + 75)*(3*g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 60*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 13. Let u(t) = -t**2 - 5*t + 1253. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-6)*(-3)\/(-2). Let g = -3 + a. Solve -7*u = -2*u + v + 7, 10 = -2*u + g*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 7. Let t be a(12). Suppose -20*o = -t*o + 45. Let z = o - -12. Calculate the remainder when 15 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-168)\/(-756))\/(2\/27). Let r(n) = -17*n - 6. Let s(c) = 11*c + 4. Let d(y) = 5*r(y) + 8*s(y). Let i be d(h). Sort i, 0, -3.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*s, -3*s = 2*s + 2*d. Let o be 14 - (s\/(-2) + -2). Let a = 11 + o. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5131? (a) -1\/2 (b) 1 (c) 0.03 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*3\/(-81)*-3*(-78)\/(-286).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 7*p**2 - 10*p + 6. Let r be l(8). Let n be 1*r*(-5)\/(-10). Let x be (-2)\/8 + (7 - (-47)\/(-4)). Is x > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(216)\/sqrt(48) - sqrt(18)) + 4)**2.\nAnswer: -27*sqrt(2) + 171\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9304.46 litres?\nAnswer: 9304460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/(2\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -1, -5, 1\/6 in increasing order.\nAnswer: -5, -1, 1\/6, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**3 + 5*y**2 + 28*y + 30. Let k be i(-10). Round k to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -35. Suppose 0 = -2*g - 5*t - 9, 0 = -6*g + 3*g - i*t - 1. Calculate the remainder when 31 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4073174 (base 8) to base 7.\nAnswer: 12112335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (304\/36 - 8 - 6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4511*i**4 + i**3*k**3 + 23964*k**3 wrt i.\nAnswer: 18044*i**3 + 3*i**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4711994 to the power of 1\/2, to the nearest integer?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 256, 5, 1, 15838, 3 in decreasing order.\nAnswer: 15838, 256, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + o = -173, -7 = -4*x + 4*o + 221. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412958211?\nAnswer: 2412958211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296684 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15380521*h**4 + h**3 - 115621558.\nAnswer: -61522084*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 12. Is (-19 + 6)\/(s\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38460529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g*g\/(g**(-3\/2)*g))))\/(g\/((g*g*g**(-13))\/g)*g*g*g)*(g**29\/g*g)\/(g**(-31)*g) assuming g is positive.\nAnswer: g**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27605*r - 27605*r + 20 + 12*r**2 - 12*r**2 + 1519*r**3 wrt r.\nAnswer: 4557*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = -22. Suppose -q*t + 0 = 3*b - 47, 0 = 5*b - 20. Calculate the remainder when (58\/8 + -1)*4 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.47 + -10.55. Let i = -767 - -721. Let t = i + z. Is 0.3 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 12) to base 13.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 4*d\/9 + 2\/3.\nAnswer: -2*(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 3 + 3 + 229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -4*l - 4*r, -3*r - 315 + 75 = -2*l. What is the lowest common multiple of 24 and l?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425*v - 4436*v + 110 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140\/6759 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/372 and 85\/1934462.\nAnswer: 11606772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2102, -4227, -6354, -8483, -10614?\n\"Answer: -i**2 - 2122*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 13629 + 13629.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 953176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(48) + 5*sqrt(432))\/((sqrt(216)\/sqrt(4) - sqrt(54))*-4 - 6*-2*sqrt(54)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -334671 - -334671.00386557. What is k rounded to five dps?\nAnswer: 0.00387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -65\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*a**3*c + 124*a**3 wrt c.\nAnswer: 251*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 36052053*d - 14420822.\nAnswer: (d + 7210411)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.03 plus 1779?\nAnswer: 1801.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-106)\/1749)*(-2)\/6.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from rrrhhrheehr.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 249.59. Suppose -35*k + 30*k = -4*t - 42, k + 3*t + 22 = 0. Sort k, q, -1\/4.\nAnswer: q, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 19. Suppose 7*m - 36 = w*m. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412 (base 6) to base 9.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 9, -14, 19 in descending order.\nAnswer: 19, 9, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -5. Suppose 0 = -5*q + 10*t - 115, -10*q = -12*q + t - 19. Which is the third smallest value? (a) -2\/23 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbgbg. What is prob of sequence bb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2441784.\nAnswer: 2441784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(34)\/sqrt(2) + -5).\nAnswer: -6*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200 + -98. What is the smallest common multiple of 16 and n?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 + 11*j**2 - j**2 - 7*j**2 - 2*j**2.\nAnswer: 23*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -126332123 less than -126332124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/8, 5\/6, 3843?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 66 + 3*y - 2*y - 4*y + 3*y + (3 - 4 + 4)*(-85*y - 39*y - 19*y) to the form d*y + b and give d.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + sqrt(125) - (((sqrt(5) + 3)*-4)**2 - sqrt(5)))*-5.\nAnswer: 450*sqrt(5) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 + 3*l**2 - 219 + 227 - 3*l**2 as n*l**2 + u*l + g*l**3 + r and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13720.158s to hours.\nAnswer: 3.811155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963800 is divided by 107086?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/(-35) - (-1)\/(-5). Suppose 20 = -3*o - 4*q, -m*q - 25 = 5*o + 2*q. Let p(a) = -10*a + 7*a + o*a. Let c(x) = -7*x**2. Determine c(p(d)).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 543 and 8529263?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 18250*q**2 - 14635565*q + 3787595580 = 0. Calculate q.\nAnswer: -1927, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-24) - 2123\/440)\/4 and -93\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 60\/35 + (-6)\/(-21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))**2*-6 - (5 + sqrt(162) + -1 - sqrt(162)).\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*g**2 - 139*g**2 - 575*g**3 + 73*g**2 + (3*g - g - 4*g)*(-7 + 7 - 2*g**2).\nAnswer: -571*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 23*l = h - 39, -h = -4 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1733472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 0, 5*b - 4*b - 3*c - 858 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 42 = 70. What is the remainder when 326 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + p**3 + 0*p**3 + 2*p. Let s be w(-2). What are the prime factors of (s - -7)\/((-2)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-15)\/166))\/((-25)\/((-2275)\/(-14))*-13)?\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**6\/120 - j**5\/15 - j**4\/8 + j**3\/6 + 5*j**2 + 13. Let v(u) be the second derivative of k(u). What is v(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5982 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 673129934*a**2 + 96457801*a + 1.\nAnswer: 1346259868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88909 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from qvcqqqqoqqocqvcvocqq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95024*c**3*r**2*x - 76*c**3*r*x + c**2*r + 15*c*r**2*x**3 - 4029*c*x**3 + r*x**3 - 1 wrt r.\nAnswer: 190048*c**3*x + 30*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + 128. Let o(a) = -a - 2. Let h be o(-2). What is the tens digit of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052372407.\nAnswer: 31, 33947497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02, -68, 0.1, 4, -0.18, 7\/19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/252, 4, -2, 692, 8 in decreasing order.\nAnswer: 692, 8, 4, 1\/252, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 8*q + 300. Let n be (q\/(-12))\/5*12\/10. Find the second derivative of -2*v**n + 13*v**3 - 21*v + 18*v**3 wrt v.\nAnswer: 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vctztvvdcdttztt. What is prob of picking 1 t and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqqq when four letters picked without replacement from seesqeqqseesqsese.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 440002 - -3?\nAnswer: 440010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**6\/75 + 5*g. Suppose q(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -7 - (-7 + -1)) + 14 + -26 + 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7924840*n*x**2*y - 2*n*x*y + 2008266*n*y wrt x.\nAnswer: 15849680*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16\/73, -1, -0.5, 64 in decreasing order.\nAnswer: 64, 5, 16\/73, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001101000 - 10101?\nAnswer: 100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9896 is divided by 2140?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191476517 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-192)\/89984*63\/12 and -29\/12.\nAnswer: 16872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1865*x**2. Let l(u) = 79*u**2. What is l(r(t))?\nAnswer: 274779775*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1905)\/(-19304)*19)\/((-5)\/(-28)). Let 0*f + x*f**2 + 0 - 1\/2*f**4 + 2*f**3 = 0. What is f?\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4312 and -4234 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + -3)*(-8)\/9. Suppose 120 = -a*b + 568. Suppose 5*j - 33 = 47. What is the greatest common factor of j and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 1, x: 4, m: 2}. What is prob of picking 1 m and 2 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(1\/3). Find the third derivative of 2*k**4 + 0*k**2 + 4*k**6 - o*k**4 - k**2 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - (-318)\/24. Suppose -9*l - 28 = -q*l. Suppose -92 + 15 = -l*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 162609012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12329363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -49. Let q(y) = -2*y**3 + 19*y**2 + 4*y + 52. Let g be q(10). Let u = g + l. Let f(h) = -h**2 + 10*h. Calculate f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 129779156.\nAnswer: 259558312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 11*a**2 - 39*a + 31. What is b(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 3677737.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:51 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62824 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1460121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 235*o**2 - 1456*o - 2415. Determine w(-241).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -495, -1988, -4475, -7956?\n\"Answer: -497*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24178?\nAnswer: 2, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 29. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 + -193. Let t be -2 - (-2*28\/x - 0). Solve 4*u + 3*w - 13 = 11, 5*w - 35 = -t*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3548 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**2 + 32 - 34 - 3*q**2 + (82*q + 1184 - 1184)*(-3*q + 6*q + 0*q)*(-4 + 2 + 4).\nAnswer: 482*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*f = -23, 31*f = 5*q + 35*f - 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 1937 = h - 1927, 0 = -3*x + h + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25989 + 25989 + 8*z - 6*z - 36*z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 39*t**2 - 41*t + 118. Let n be x(38). Solve 0*y - y + 6 = n*f, 0 = -2*f + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhghtth. Give prob of sequence ghh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 + 3*i + 2. Give v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:02 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 897779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76.2 - -16.2. Let d = 190 + w. Is d < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.85 and -0.105.\nAnswer: -2.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (-40 - -41).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2108605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**2 + 120*s**5 - 2*s**2 + 28 + 104*s**5 + 122*s**5 wrt s?\nAnswer: 20760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Find the third derivative of -2*q**m + 0*q**6 - 2*q**6 + 3*q**2 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*r = r - 66, 3*n + 18 = -3*r. What are the prime factors of 1 + 0 - (n - 19)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 147, 5, -1?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211239*k**4 + 43458?\nAnswer: 844956*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(4 - 9 - 7)*(-6*l**2 - 4*l**2 + 4*l**2).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by 393?\nAnswer: -404\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -146a54 (base 11) to base 5\nAnswer: -24310440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(4*g - g - g) + (-14*g - 7*g + 5*g + (5 - 3 - 1)*(-g + g - 2*g))*(-2 + 6 - 2) + 4 + 0*g + g + 2.\nAnswer: -39*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202012232123 + -13?\nAnswer: 202012232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/11, -4.2025, 0.03, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 21. Let r be x(11). Suppose a + 18 = 3*t, 4*t - 4*a - r = -0*a. Suppose -t*o + 0*o = -9085. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 + 7196*r**3 - 3048088*r**2 - 12278832*r - 12307680 = 0. What is r?\nAnswer: -2, 693, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875562609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -45*(-5)\/(-55). Let w(x) = 2*x + 5. Let z be w(-5). What is the closest to 0 in d, z, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2430270*t**2 + 1011672 wrt t?\nAnswer: 4860540*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, -1, -2\/11, -5248 in descending order.\nAnswer: 2\/37, -2\/11, -1, -5248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65968)\/(-28861)*(-70)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172355\/22 - 7838. Let p = 1\/7370 - 70099\/619080. Calculate the common denominator of p and h.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:07 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 - 8) + 4 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1 + -26 + 31.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(6 + 0) + 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 5*a. Let t(w) = -w**2 - w. Suppose -5*d = 6 + 19. What is d*t(j) - f(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 r when three letters picked without replacement from {d: 1, v: 6, r: 12}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-368)\/(-6) + 1\/(-3). Suppose o - 85 = -0*o. Let q = o - s. Solve 1 + q = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18019*t + 8344*t + 164 - 164 - 14367*t. Let v(l) = l**2. Calculate v(u(n)).\nAnswer: 578017764*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*-84*(-1)\/(3\/(-5)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24850 - -7.8874\nAnswer: 24857.8874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2)*(129*j - 5 + 55 - 55) in the form a*j + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5 - 1 + 2 - 3 + (-1 + 4 - 5)*(0 - 1 - 1) - 3 + 2 + 2 + 5 + 9 - 4 + 5 - 2 - 1)*(3*b + 4 - 4).\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*f + 3197, -19*f + 4*s + 1916 = -16*f. What is the remainder when f is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 10*n + 7. Let k be h(8). Let a be (-2841)\/(-27) - (-2)\/k. Is 8\/10*a\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*x - 25. Suppose 0 = -x*m - 8, -c - 5*m - 2 - 8 = 0. Suppose c = 2*f + 8, -31 - 27 = -3*o + 4*f. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 1)\/12 - 42\/(-45). Let x = 45 - 46. Let l be -4 - (x*8 + 1). Which is the closest to l? (a) z (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 2*s + 489 = 4*k + 483, -9*k + 4*k - 2*s - 24 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.1782632 months?\nAnswer: 0.0000981886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*y**2 - 89*y**2 - 71*y**2)*(6 + 0 - 3) in the form r*y + g + o*y**2 and give o.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.36, -0.5, -0.8, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-94)\/4 + 19\/38. Let h = 131 + z. Suppose 4*b - h = b. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-66)\/(-660))\/(111\/5). Let r = 895\/1554 - g. Let o(v) = v**2 - 5*v + 4. Let s be o(3). Which is the closest to s? (a) 1 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 7. Suppose 0 = -5*g - 3*s - 29, 4*s - s - 27 = 3*g. Let h be v(g). Suppose -3*o = 5*l - h, -4*o + l - 23 = -90. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((1 + sqrt(117) + sqrt(117) + -1)**2 - (sqrt(117) - (-2 + sqrt(117) + -1 + sqrt(117)))**2).\nAnswer: 18*sqrt(13) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -9. Suppose 0 = 5*a + c*r - 5, -3*r - 2*r = -2*a + 31. Suppose -5*h - i = -2*i - 247, a*h - 144 = 2*i. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 793554 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-10)\/8) + 1 + 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2\/7, 120, 5, -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*l = 5441 - 5771 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 32 = -28. Let m be ((-18)\/t)\/(6\/(-70)). What is the greatest common divisor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 4. What is the greatest common divisor of m and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 189714 and 2710.\nAnswer: 514124940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17*a. Let y(s) be the second derivative of 61*s**3\/6 + 12*s + 1. What is c(y(b))?\nAnswer: -1037*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*2\/(-21) + 0. Let w(d) = d**2 - 4*d - 1. Let s be w(5). What is the nearest to -1 in s, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 - 10*i + 14. Determine t(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 60511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1870180992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 27. Let n = -49 + 58. Let u(s) = s**2 - 7*s - 19. Let x be u(n). Which is the third biggest value? (a) x (b) f (c) 1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + 5)*841\/377.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 5640.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102484909 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-22)*a)\/a*a*a\/a**1)**(-25) assuming a is positive.\nAnswer: a**(-625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 5. Let z be w(-7). Suppose -5*m + 2*t - z = 19, 5*m - t + 41 = 0. What is the units digit of 1*1*(-2 - m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 1050498\nAnswer: -1050498.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*o + 57 = -150*o + 23 - 20 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 8?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/(t\/(((t*(t**29*t)\/t)\/t)\/t*t*t*t))))**(-6)\/(t\/(t\/(t\/t**(-3))))**(-10\/3) assuming t is positive.\nAnswer: t**(580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 26 = -4*t, 0*t - 2 = -k - t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cb791 (base 13) in base 12?\nAnswer: -5b5827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8420757 less than 1?\nAnswer: -0.8420757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 102*s**2. Let y = 1041 - 1017. Let x(v) = 8*v + 16*v - v**2 - y*v. What is x(r(b))?\nAnswer: -10404*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -9.302 (c) -696\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25605 - 17487. Calculate the common denominator of (21\/(-81))\/((-6)\/153) and 33169\/p - (-2)\/(-9).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 781*b**2 + 52*b - 259. Is z(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 5. Let q be l(8). Suppose -q*p + 298 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 506359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 87. Suppose -f = 5*p - j, -3*f + 120 = -4*p - 95. Let k be 4\/(-26) + 36\/f. Which is the closest to 2? (a) 0 (b) k (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44980 divided by -5?\nAnswer: 8996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(-1) - (2 - 3) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, -5 in decreasing order.\nAnswer: 18, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 + 354*i**2 - 543*i - 450.\nAnswer: 3*(i - 2)*(i + 25)*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85.2 - -11.2. Let y = p + 67.8. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i + 1. Let p be l(0). Let c(d) = -d**2 + d + 4. Let n be c(2). Solve t + 6 = -3*x + p, 4*t = -n*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151 by 360265.\nAnswer: -151\/360265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 6. Let r = -133 + 133. What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 185.881um?\nAnswer: 0.185881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, 5, -190, 6, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-27)\/21)\/(-3). Let o(b) = -34*b**2 - 546*b - 32. Let i be o(-16). What is the nearest to i in 3, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.1316781 to one dp.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -218, -211, -188, -143, -70, 37?\n\"Answer: t**3 + 2*t**2 - 6*t - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1854 divided by -18.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-499872)\/(-54864)*(-12)\/(-10)*(-30)\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(11*m**2 + 3*m**2 - 10*m**2) + (0 - m + 0)*(5 - 5 + 2*m) - 29*m**2 + 60*m - 60*m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + -3 + 1.\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(17) - sqrt(17)) - ((sqrt(153) + (sqrt(153) - (sqrt(153) + 2*sqrt(153))) + sqrt(153) - sqrt(153)) + sqrt(153))\/sqrt(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + 2. Let i = -226.9511 - 0.0489. Let x = 227 + i. Which is the nearest to x? (a) 0.3 (b) -0.04 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166352 divided by 4.\nAnswer: 41588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831\/3 + (-4 + 1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 28. Calculate the lowest common multiple of v and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 504\/(-32)*756\/(-891)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 + -53. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 - 5 = 0. Let u be (2 + (m - -2))*-5. Let q be (-6)\/u + (-234)\/(-10). Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 2*z + 4. What is the remainder when d(2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:28 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5563 - -5899. Calculate the least common multiple of h and 58.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1314862, -2629727, -3944592?\n\"Answer: -1314865*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(249\/(-9) - 3). Let x be -4*1 + (-18 - -81). Let p = -36 + x. Calculate the greatest common divisor of p and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 161 = -t + 110, -5 = -t. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/666 and -5*(-5)\/(-375)*(-1770)\/(-18)?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/35 - ((-180)\/(-25) + -7). Which is smaller: m or 10\/39?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.22 (b) -0.4 (c) -21 (d) -0.5 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 69412560.1.\nAnswer: 69412539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 5. Let t be g(-4). Let h(n) = n**2 - n + 1. Let i(a) = -1. Let b(z) = 3*z**2 - 3*z + 6. Let p(q) = b(q) + 5*i(q). Calculate t*p(s) - h(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 108, 225, 368, 525, 684, 833?\n\"Answer: -2*l**3 + 31*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28711*n**2 - 2*n**4 + 3*n**3 + 28706*n**2 + 0 + 1 + (2 - 1 + 1)*(-3*n**4 - 2*n**4 + 4*n**4) - 2*n**4 - 2*n + 2*n.\nAnswer: -6*n**4 + 3*n**3 - 5*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l**2 + 15*l - 24. Let r(p) = 10*p**2 + 7*p - 11. Determine 13*r(j) - 6*v(j).\nAnswer: 10*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:39 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/300 and 127\/36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - v - v)*(-8*v**2 + 5 - 5 - v + 2*v**2 + v + (-2 + 2 + 2*v**2)*(3 + 2 - 3) + v**2 - v**2 - 2*v**2).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -12, -91 in increasing order.\nAnswer: -91, -12, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 14*u - 773920 = 6262830. What is u rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543022 (base 6) to base 2\nAnswer: -1010111010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:14 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103*z + 1100*z + 54 = 0. Solve 0 = -10*t - z - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Suppose w = y*v - 0*v - 6, -2*w - 17 = v. Let j = 26 + w. Solve 2*n = -2*n - 16, t - 4*n = j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-2 - (0 + 2)). Suppose 2 + n = 2*p + v, -5*v + 20 = -p. Differentiate 2*z**3 + 5*z**3 + z**3 + p - 14 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 4*a)*(2 - 3 - 4)*(2*a - 6*a + 3*a).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6511345 rounded to three decimal places?\nAnswer: 2.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -480*y + 1924. Determine x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 77 + 5 = 0. Calculate the remainder when 14 is divided by (-592)\/(-72) + 4\/j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-45)*10\/(-22). What is the nearest to 1 in -2\/17, f, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - v**4\/6 + 5*v**3\/6 - 22*v**2. Let r = -3 + 9. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2344)\/6446)\/(7*3\/(-33)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/27))\/x*x**8*(x**(-2\/9))**(1\/3) assuming x is positive.\nAnswer: x**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210102 + -100201202?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12793900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.54 and -48\/73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -10. Let a be (m + -2)*(2 - 1). Solve -2*h + 5*n + 0*n - 15 = 0, -a*h = -n - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3164 in -1, 19\/5, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -91, -158, -225, -292?\n\"Answer: -67*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544623.\nAnswer: 2544623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v - 4*x = 356, -7091*v = -7087*v - 3*x - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (-102 - (-128 + 44))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -751538478 take away 449?\nAnswer: -751538927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 15. Let h(a) = 206*a - 18660. What is h(s(j))?\nAnswer: 618*j**2 - 21750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/(-3)*4\/232?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 24 = -2*d + 25, -41 = 5*y + 2*d. What are the prime factors of 2 + 73 - 27\/y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1042*j - 126. What is the thousands digit of u(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 56*g - 8 - 54*g - 3. Suppose 0 = -d - 2*m + 13, -m = 3*d - 5*m - 9. Let t be r(d). Solve -t*z - 15 = -6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -45.86095?\nAnswer: 4.586095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*q - 25, 0*q - 2*q + 16 = -4*x. Let z be (1\/6)\/(3\/(-12)). Which is greater: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8451809352.\nAnswer: 2, 3, 7, 17, 328813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -1.75, 0.004, -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12534165 to 5 decimal places.\nAnswer: 0.12534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 2 - y + 3*y**2 - y - y**3. Let u(c) = c**3 - 5*c**2 + 4*c + 10. Let t be u(3). Suppose -2*g = 2*z - 2, -4*g + 0*z = 2*z + t. Calculate o(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*v + 59. Let j = v + 24. Suppose -c - j*c + 2*k = 2654, -1054 = 2*c + 3*k. What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 3\/373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419*v + 154209 + 27216 = 0 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365421, -367149, -368877?\nAnswer: -370605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 374, 236, -140, -880, -2110, -3956, -6544?\n\"Answer: -21*z**3 + 7*z**2 - 12*z + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = -0*g - 2*g, -18 = 3*j + 3*g. Let r be -3 - (j - 1)*1. Solve -r - 7 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4386460 divided by -877292\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 13*u - 352. Calculate the smallest common multiple of z(15) and 7.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136137692 times -0.4\nAnswer: 54455076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31522 (base 6) to base 9.\nAnswer: -5805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348216792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssmssmsmsmms?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*w - 146*w + 92*w.\nAnswer: -254*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Let g(z) = 127*z + 122*z + 124*z - 368*z. What is g(k(x))?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, 176, 642, 1274, 2066, 3012?\nAnswer: 4106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1138 - -1144. Calculate the greatest common divisor of h and 864.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8500000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7*7\/49. Sort r, 0, 3.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/(-408)*-9)\/(39\/26))\/(2\/304)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-45)\/(-6))*6. Suppose 2*u - p*b = 15 + 17, u = -4*b - 2. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 39*o**2 + 43*o + 42. Let x be y(-35). Let z = x - -381743\/60. What is the common denominator of -67\/54 and z?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 60*f**3 + 66*f**2 - 66. Let v(t) = -t**3 - t**2 + 1. Determine 4*c(w) + 264*v(w).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m - 9. Give z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 55*i + 38. Let p(t) = -2*t. Let j(y) = -2*f(y) - 22*p(y). What are the prime factors of j(-4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k**2 - 151 + 151)*(16*k**3 - 43*k**3 - 35*k**3).\nAnswer: -930*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*i + 17 = -220*i + 117 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 92*u + 1046. Let p be k(-13). Solve 18*f = -p + 19 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -9*l + 35. Solve -3*x + l*x = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6 + 2. What is the units digit of 3248\/44 - z\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**3 + 6*u**2 + 6*u. Let v(n) = -69*n**3 - 23*n**2 - 23*n. Determine -23*g(c) - 6*v(c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1116)\/(-930)*((-2)\/6 + (-697)\/(-51))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3321, 6635, 9949, 13263, 16577, 19891?\n\"Answer: 3314*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:16 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -67. Suppose -130012 = -k*m + 17388. Round m to the nearest one hundred.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157400818681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-65)\/(-52)*(-34)\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2. Let b(j) = -j - 3. Let s be b(-8). Let d = -4 + s. Let g(u) = -1 + d + 4*u**2. Determine g(p(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/72 and -71\/2056?\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.067 - 0.067. Which is the second smallest value? (a) 1 (b) -2\/15 (c) h (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2335.6 - 2336. Let o = -2.1 - -2. Let v = o + 0.5. What is the smallest value in r, 4\/15, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/50)\/((1008\/60)\/14)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -29, 15\/527, 1, 0.3, 2 in ascending order.\nAnswer: -29, 15\/527, 1\/8, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0*s**3 - 11\/12*s**4 - 2\/15*s**6 + 0 + 9*s + 0*s**2 + 0*s**5. What is the third derivative of z(u) wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4303 + -1725. Is 2577 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3103852 and 33\/8.\nAnswer: 6207704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846*k - 547*k = -581*k + 1760. Factor -11\/2*g + 0 + 21\/4*g**k + 1\/4*g**3.\nAnswer: g*(g - 1)*(g + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15646 * -0.2\nAnswer: 3129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00222063 to five dps.\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + 65. Let m = t - 102.0139. What is m rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Let x = -73.015 + 0.015. Let l = -75 - x. What is the closest to 0 in l, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/(-380))\/((-2)\/2)*1*-1*35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -13. Let y = b - 92\/3. Let s(t) = 2*t**2 + 8*t - 37. Let n be s(-7). What is the smallest value in 0.01, n, y?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-1*3\/(36\/(-227876)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203132232333 (base 4) to base 15\nAnswer: -c3ac6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0)**(-42))**(-2\/15))**(-50) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2 + 64*m**2 + 51*m**2 + 244 wrt m?\nAnswer: 232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1276*l**3 - 1438 wrt l?\nAnswer: -3828*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*n = -383*n - 2991666. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3732693962 take away 106?\nAnswer: -3732694068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-9 + 15 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272 - 177. Suppose 16*z = -3*z - j. Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1780*b + 12455. Let s be i(-7). Put 79, 2, -74, s, -4 in ascending order.\nAnswer: -74, s, -4, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/66 and 27\/815608.\nAnswer: 26915064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (22 + -12 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240069532 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(8 - 66\/18). Sort -84, -1, 1, v in descending order.\nAnswer: 1, -1, v, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1828 = -12*v + 13*v - 4*s, 5*v - 9055 = 3*s. What is the smallest common multiple of 4 and v?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4*80\/(-10). Factor 0 + f**w + 1\/2*f**3 + 1\/2*f.\nAnswer: f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742511 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = i - 27. Let p be 32\/18 + 12\/i. Solve 0*k - p = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 17*v**2 + 15*v**2 - 5*v**2 to q*v**2 + d*v + r and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1067)\/388)\/(-1 + 6\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105, -529, -1163, -1797?\n\"Answer: -634*c + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011*z + 1058*z = 235. Solve 0 = -2*y - 0*y, 0 = -5*n - z*y - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 20*h**3 - 28*h**2 - 20*h + 24.\nAnswer: 4*(h - 1)**2*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 275879, 551676, 827469, 1103258, 1379043, 1654824?\n\"Answer: -2*l**2 + 275803*l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-117)\/18 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2. Let k be s(0). Which is the nearest to -1? (a) 4\/3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -27. Solve 2*g - 5*g + 2*v - 6 = 0, -5*v + 15 = j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.3049994 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245025*h**3\/4 + 337427145*h**2\/4 + 9542806*h + 269892.\nAnswer: (h + 1377)*(495*h + 28)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -47. Calculate the remainder when 85 is divided by h*3*6\/(-9)*-11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 j(c) = -c**3 + 10*c**2 - 8*c - 4. Let m be j(9). Let r = -2\/235 - -713\/940. Solve -r*i**3 - 1\/4*i**m + 1\/4*i**2 + 0*i + 0 + 3\/4*i**4 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 10766 = 10811. Sort -168, -3, 1, -4, y.\nAnswer: -168, y, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)\/((-4)\/24). Calculate the remainder when 27 is divided by ((-28)\/w)\/((-14)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -18. Let v = 13.932 + m. Round v to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.401 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3588.4 to the nearest 10.\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -364*t + 360*t - 183 + 27. Let m(r) = -5*r - 155. Let x(v) = 2*m(v) - 3*q(v). What is the remainder when x(0) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0399 - 0.2399. What is the third smallest value in -11, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:47 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.9 + -26. Let o = -1.1 - i. Let v = o - -7.0017. What is v rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 417 = -95. Put 2, o, 5 in descending order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4))\/(-16*(-26)\/(-4160)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16416 and 13136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g + 622. Calculate o(-35).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/175*2\/(-4)*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**4 - 6*b**3 - 31*b + 6. Let k(t) = -5*t**4 - 7*t**3 - 32*t + 7. Let i(v) = 7*g(v) - 6*k(v). Find the second derivative of i(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7133*l + 1621. Is r(-62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*3264537.\nAnswer: -5223259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9*v. What is the nearest to -0.1 in 0.5, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 10206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25.69863ms?\nAnswer: 0.02569863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 24*y + 231 + 99 = -5*n, -2*n = -y + 127 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 292, 295, 300?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaia when four letters picked without replacement from cccaaaicaiaaaicccc?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/416 + 76\/182. Which is the nearest to 6? (a) 4 (b) w (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - -0.18. What is z rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47343504.\nAnswer: 2, 3, 13, 17, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 4*t - 3*t + 2*t + 1 - 1 + (-5*t + 2*t + t)*(-6 + 3 + 2) + 6 + 63*t + 63*t - 129*t.\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8 + 0 + 15 - 2*n + 13. Let m be d(15). What is the remainder when 1\/((-1)\/m) - -1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*t + 194 - 207 + 1819 + 218 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 12. Give d(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7311\/12*-1*(1 - 5)?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 2. Let x(f) = 18*f. Let b be x(1). Suppose -10*a = -a + b. Determine i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 2*f**2 + 61 + 45 - 106 + 164119*f**3.\nAnswer: 164119*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -107, -237, -419?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 8. Suppose -g + 3 = -2. Let t(v) be the second derivative of -437*v - 1\/6*v**3 - 1\/2*v**2 + 0. Determine g*t(k) + z(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3153*b**2 - 4*b - 2. Let h be (-55)\/(-15) - -1 - 4\/6. Suppose 24 = -h*i - 5*j, -2*j - 1 = 5*i - 3*j. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/8 + 5*o**2\/8 - 3*o\/8 - 9\/8 = 0. What is o?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/5))**(2\/57)\/(y\/y**14*y)**16 assuming y is positive.\nAnswer: y**(54706\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 17, o: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -j + 23, -11 = 3*j + 4*s - 0. Let p(u) be the first derivative of -u**j - 2*u - u**2 - 2 - 1\/4*u**4. Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 791394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/120 - c**5\/5 + c**4\/8 - 8*c**3\/3 - 5*c**2. What is the remainder when 115\/3 + 1\/(-3) is divided by u(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5046.021 - -5023.8. What is r rounded to one decimal place?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3672)\/(-108)*14\/34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 104969 - 7281 = 0. Let c be 781773\/32 + -2 - (22 - 18). Let t = u - c. Calculate the common denominator of t and 103\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 2 (c) 2\/13 (d) -1 (e) -1\/11 (f) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45742, -45682, -45622, -45562, -45502?\n\"Answer: 60*j - 45802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(847))\/(sqrt(10) + (sqrt(10) - 2*(sqrt(10) - sqrt(10)*-4))).\nAnswer: -sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 93.05. Let t = -0.05 - h. What is the smallest value in 0.05, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.115*769665.\nAnswer: -88511.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - -11315?\nAnswer: 11329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3279766518 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1256693, -1256708, -1256723, -1256738?\n\"Answer: -15*p - 1256678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 1414336*s + 38189988 = 0. Calculate s.\nAnswer: -353611, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.8 (b) -4 (c) -3 (d) 0.5 (e) 9.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/121*4)\/(2\/11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7387164 days?\nAnswer: 63825.09696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*r**4 + 2*r**4 - 4*r**4)*(11*r + 26*r + 24*r).\nAnswer: -1647*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 1\/140*n**7 + 5\/8*n**4 + 2*n - 47*n**2 + 1\/5*n**5 - 1\/8*n**6 - 9\/4*n**3 + 0. Factor m(y).\nAnswer: 3*(y - 9)*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 690552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**2*w))**(-31)*w**(-1)\/(w**(-10)\/w) assuming w is positive.\nAnswer: w**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -806796*y**6 - y**4 + 23*y**2 + 39*y - 9 wrt y.\nAnswer: -96815520*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4009 - 4005. Solve 5*g - 37 = 10*g + c*w, -w + 2 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:48 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2659.09 micrometers?\nAnswer: 2659090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - r - 4*r - 11)*(-1 + 2 + 0)*(0*r + 0*r - 2*r)*(-18*r + 75 - 75).\nAnswer: -180*r**3 - 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62762 and 119882.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 50. Let b be ((0 - g) + -1)\/(-5 + 4). Suppose 4*t = 133 + 43. Calculate the greatest common divisor of t and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - d - 1. Let l(x) = -29 + 7*x - 7*x - 2*x. Let i be l(-14). Calculate s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {j: 1, h: 6, k: 1, n: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebelbfseleb. Give prob of sequence ebbe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g + 5*g)*(138*g**2 + 16*g**2 - 5*g**2) in the form k*g + p*g**2 + l + x*g**3 and give x.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3021327 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1729 divide 776574414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991846 is divided by 9909?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 5)*(3*a - 2*a - 3*a) + 2*a + 0*a - 4*a + 2*a + 2*a - 3*a)*(-3 + 0 + 1).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*p = 447, -f - 2*p = -3*f - 222. Find the common denominator of 53\/10 and (-3*3\/f)\/(9\/474).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218 + 237. Suppose 29*c - 42*c = -78. Solve 0 = c*v - 5 - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1625, 3235, 4845?\n\"Answer: 1610*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**7\/630 - b**6\/180 + b**5\/15 + b**4\/6 - 3*b**2. Let p(q) be the second derivative of o(q). Factor p(d).\nAnswer: -4*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 27*j**2 - 18*j + 15. Let u be q(-28). Let v = -260 - u. Solve 35 = f + 4*f - 5*n, 0 = f - v*n - 27 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/659683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21*j**2 + 21*j - 3. Let m(z) = 20*z**2 + 22*z - 2. Let o(q) = -6*b(q) + 5*m(q). Let a be o(8). Let u = a - -19644\/11. Is u > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j + 208. Let c be q(29). Let r be 17\/4 - (-35)\/c. Solve r*g + 6 = 2*i, 4*i - 5 = -3*g - 37 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1244 - 391*g**2 + 393*g**2 - 150*g - 2*g**3 - 1059 wrt g.\nAnswer: -6*g**2 + 4*g - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5309831 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**3 + 15940*z - 20094 wrt z?\nAnswer: -3*z**2 + 15940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 3*i. Let f be o(3). Let d = 18 + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 5*f**2 + 0*f**2)*(-7*f**2 + 3*f**2 + f**2).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182445 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 270*p**2 + p + 71. Let b(s) = -27*s**2 - 7. Determine -21*b(m) - 2*c(m).\nAnswer: 27*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70\/13? (a) -0.02 (b) 1.74 (c) -4 (d) 1\/9 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 142888048 to the nearest one million.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132382 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*q**2*u**5 + 2*q**2*u**3 - q**2*u - 3*q**2 + 3*q*u wrt u?\nAnswer: 980*q**2*u**3 + 12*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*m**3 + 15496*m**2 + 1295824*m?\nAnswer: -174*m + 30992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -2 - (7 + -6 + -5). Suppose -3 = 2*g + p + 2*p, -4*g + 9 = 3*p. Let q = x + g. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21412778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 10 - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/7 + 30160*w**2\/7 + 2*w\/7 - 30160\/7 = 0.\nAnswer: -1, 1, 15080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 - 15100*n**4 + 57002497*n**3 + 45302*n**2 - 171037700*n + 114005000 = 0.\nAnswer: -2, 1, 7550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*n**2 + 139*n**2 + 283*n**2 + 148*n**2 - 42*n**6 - 436*n**6 wrt n?\nAnswer: -57360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a5 - -4?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2903 + -98691\/34. Let r = -633\/170 + j. Let p = r - -3. Is p smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 34*y**2 - 40*y - 192. Calculate v(-35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -31*o**3 - 24*o + 24*o. Let k be a(-1). Suppose 3*c - 2*c - k = -5*x, 5*c - 67 = -3*x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 20*h + 20. Let r be a(-18). Which is smaller: -20 or r?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 18728021.\nAnswer: -3558323.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.287642 microseconds to nanoseconds.\nAnswer: 7287.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20 = 5*c, 0 = 7*p - 2*p + c - 26. Suppose 8 = -10*n + 18*n. Suppose -4*u - n + 33 = 0. Solve 0 = -p*l + 2 + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 9) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**1*l)*l)**(-28)*(l\/l**(1\/7))\/(((l\/l**6*l)\/l)\/l))**(-2\/3) assuming l is positive.\nAnswer: l**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1651*14*5\/(-455) is divided by 130?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/10, -1\/3, 0.2, -1\/54, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425947117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.22 - 17.78. Let y = -779066.99955 - -779086. Let l = y + h. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w**3 - 3*w**2 - 3*w - 3. Let s(g) = -g**4 + 23*g**3 + 2*g**2 + 2*g + 2. Let y(t) = -2*f(t) - 3*s(t). Factor y(r).\nAnswer: 3*r**3*(r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 0. Let l = i + 159. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*q. Let f be 2*(9\/6)\/q. Suppose -f = -2*d + d. What is the least common multiple of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 60. Suppose -2*z + 5*g + 319 + r = 0, 3 = 3*g. What is the least common multiple of 10 and (-1 - -5)\/(-2 + z\/88)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/30 - f**4\/8 - 5*f**2 - 20*f. Let w be q(0). Solve w = -8*k + 22 + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110101101110010 (base 2) to base 15\nAnswer: 823b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 4*z**3 + 2*z - 2*z + z**3 + (-10*z**2 - 5*z**2 + 3*z**2)*(24*z + 37 - 37).\nAnswer: -283*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 8\/9*a**2 - 49 - 5\/18*a**4 + 0*a - 4\/27*a**3 - 2\/45*a**5. Factor o(r).\nAnswer: -2*r*(r - 1)*(r + 2)*(r + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2568.\nAnswer: -513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/24 + 7*o**2. Let u(h) = -h**3 + 5*h**2 + 6*h + 2. Let y be u(6). Let w(n) = n**y - 3 + 3. What is w(t(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1143676 and 4.\nAnswer: -4574704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 325845 + 16*p - 325844 - 11*p**2 - 47*p + 3*p**2 - 4*p**2 + 0*p**2 + (-2*p - p + p)*(2*p - 1 + 1) - 2*p + 2*p + 3*p**2.\nAnswer: -13*p**2 - 31*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -16.1. Let i = -11 + o. Sort -3, -7, i in increasing order.\nAnswer: -7, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1683396 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19650170?\nAnswer: 2, 5, 983, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 78\/67537 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10383 + 6976 - 17376 + 9087 + 94*v**2 + 28*v**4 wrt v.\nAnswer: 112*v**3 + 188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392710950 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**3 - 2*u**2 + 3*u + 1372. Let m(w) = 2*w**3 - w - 2. Calculate 3*m(g) + o(g).\nAnswer: g**3 - 2*g**2 + 1366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5993620\/59 and -101586 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 23*o - 95. Let c be n(12). Suppose c + 434 = a. List the prime factors of a.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 0. Is l bigger than 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((21\/(-924))\/((-2)\/8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3035, -0.5, 4 in increasing order.\nAnswer: -0.5, 4, 3035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - r - 2. Let a be c(-6). Suppose -18 = y - a*y. Let x = y - 6. Which is greater: x or -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19564801 to the nearest integer?\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 25. Solve -4*t = t + 3*x + 24, -5*t = -j*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*l - l**2 + 8*l + 0*l**2 + 4*l**2 + 0*l**2 + (0*l + 2*l + l)*(-3*l - 3 + 3) in the form i + a*l + r*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*t - t, -2*i + 2*t = -72. Calculate the remainder when 1212358\/8757 - (-10)\/18 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i + 1. Let n(p) = -3*p**2 - 6*p + 6. Let f(s) = -3*n(s) + 18*v(s). Let h(a) = a. Determine f(h(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 + 79 + 242 = 120*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*u = -1, 0 = -3*m - 0*u - 4*u - 6. What is the third derivative of -f**2 - 2*f**m + f**3 + f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 - j - 1. Let q(f) = 5*f**3 - 3*f**2 + 4*f. Determine -3*b(g) - q(g).\nAnswer: -2*g**3 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*k**4 + 43*k**4 + 33*k**4 + (3*k + 0*k - k)*(0*k**3 - 2*k**3 + k**3) as m + s*k**3 + q*k**2 + g*k**4 + f*k and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 56, 0.02, 0.1, -11\/7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.8. Let q be (-2)\/5*(4 + -6). Let y = -6 - -3. Which is the nearest to -0.06? (a) y (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190595\/26 - -7329. Let q = 7805\/6 + -1287. Calculate the common denominator of q and h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.036 - 3.006. Let b = j - 0.03. What is the closest to 1 in b, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -74. Suppose -3*c = g - 2*c - 78, -82 = -g + c. Let i be h\/(-27) + g\/45. Solve i*r = 3*r, -4*r + 1 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4)*j)**(-12)*j**(-19)*j*j*j**36 assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 206100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 11) + -18 - (1 - 5 - -13).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1. Let w(g) = 49*g + 3. What is 2*o(s) + w(s)?\nAnswer: 49*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 6. Let j(o) = o**3 + 7*o**2 + 3*o - 3. Suppose 0 = 2*g + 10, 47 = -5*l + g + 262. Calculate the remainder when l is divided by j(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4373*g + 4366*g - 7 = 0. Which is smaller: g or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -59*l**3 + 3*l + 4. Let s(r) = -2*r - 13. Calculate the remainder when f(-1) is divided by s(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -22*f + 46*f - 22*f. Let n(v) = -45*v**2 - 36. Let h(y) = -y**2 - 1. Let a(u) = 36*h(u) - n(u). What is a(s(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 347 - 347. Let x(t) = -t. Let z(u) = u**2 + u - 2. Let n be z(2). Let h(s) = n*x(s) - 2*d(s). Give h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/(-3)*(-1 + 4). Let k = 2014 + -1952. Let c = t + k. Solve -12 = c*q - x, 3*x = q + 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 185\/48048 and -97\/704704.\nAnswer: 2114112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, 18, 0, 35, 1.\nAnswer: -1, 0, 1, 18, 35, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 40067055.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 6\/35 (b) -25 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 15. Let s be z(0). Let c(d) = d**3 + 16*d**2 + 11*d + 12. Let k be c(s). What is the tens digit of 3294\/k + 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3 - 69112*k**2 + 1175211*k + 1244322 = 0.\nAnswer: -69129, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46305 and 4410?\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, -0.1, 1\/61?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(2\/(-4)). Let s(y) = -y**2 - 6*y - 1. Let u be s(-6). Let r = u - g. Solve r*x + x = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(3432\/649) + (-2 - -5). Let y = z + -233\/390. Factor 0*s - 2\/5*s**3 + 4\/15*s**2 + 0 + y*s**4.\nAnswer: 2*s**2*(s - 2)*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 764 by -3855.\nAnswer: -764\/3855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i - 2*i + 0*i - 11*i**2 + 2*i. Let g(c) be the third derivative of c**4\/24 + 2*c**2. Give s(g(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*-5*((-672)\/(-147))\/32*28.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13876, -14099, -14324, -14551, -14780, -15011?\nAnswer: -15244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 34 = -8. Let g(q) = m - 83*q**3 - q - q**2 + 0*q**2 + 82*q**3. Let y be g(0). What is the highest common factor of y and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Sort 2, u, -2.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 11 + 874. What is the remainder when 175 is divided by v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -641 - -0.03\nAnswer: -640.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:14 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2)*r**9)\/(r**(-26)\/((r*r\/(r\/(r**(-20)*r)))\/r)) assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 3*o + 51, -4*n + o = -149. Let d be (-3)\/((n\/(-16))\/(-3)). Let i = 25 - 20. Sort i, d, 3 in decreasing order.\nAnswer: i, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((190\/(-15))\/((-15)\/(-9)))\/(8\/(120\/3))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095979601 to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 3, t: 2, l: 1, w: 2, k: 6}. Give prob of sequence ww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5 = 2*j, 5*z - 4*j - 611 = 0. Let u = -113 + z. What is the least common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7956 - 11.7956. What is the fourth biggest value in 12\/7, l, -5, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8421 and 25\/252.\nAnswer: 101052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and -459?\nAnswer: 3855.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + (1 - 0). Let g be -10*(-3)\/(-6) + 3. Let n be (-11)\/(-231) - g\/(-6). Which is the smallest value? (a) s (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2435 = 7*q - 12592. Let g = 2854 - q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**3*n**4 + l**3 + 11*l**2 + 69*n**4 wrt n.\nAnswer: 8*l**3*n**3 + 276*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133735, 133738, 133765, 133834, 133963, 134170, 134473, 134890?\nAnswer: 135439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + u**2)*(0 + 2 - 4) + u**2 - 49*u - 5 + 3 - 13*u.\nAnswer: 5*u**2 - 62*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232659595.\nAnswer: 3, 5, 1129, 131837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*g = -6, -4*b - b + 3 = 4*g. Let w(t) = 10*t**3 - 2*t**2 - 4*t - 3. List the prime factors of w(b).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*n**3 + 4*n**2 + n**2 - 477*n**3 + 2*n**2 + 965*n**3 - 10*n**2.\nAnswer: -2*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) 0.3 (c) 185.8 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15819767143 minus 68?\nAnswer: -15819767211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (9 - (-10 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44918, -89832, -134746, -179660?\n\"Answer: -44914*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrr when four letters picked without replacement from hhrrrhrrhrr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.4 (c) -808\/9 (d) 85 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3979*n**2 - 22670*n + 7555*n + 7558*n + 7557*n.\nAnswer: 3979*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.63 and 0.45?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**3)\/f)\/f*f*f\/(f\/((((f\/(f*f**10*f*f))\/f)\/f)\/f)))\/(f**(2\/9))**(9\/2) assuming f is positive.\nAnswer: f**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -261035 < -262231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1233 + -863. Is 54 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102664.215 to the nearest 100.\nAnswer: -102700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/12 + j**3 - 3*j**2. Let f(b) = 11*b**2 + 13. Let a be 7\/4*144\/42. Determine a*f(g) - 13*o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27397, 27392, 27387, 27382?\nAnswer: 27377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 z when four letters picked without replacement from {z: 4, w: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) -0.038 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -196*z + 91. Suppose -3*d = -2*y + 5497, 0 = -2*y + 8*d - 6*d + 5500. Let i(v) = 2753*v + y*v - 5493*v - 6. Determine 6*g(l) + 91*i(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 27*y - 4. Let g be (-789)\/(-18) - (5 + (-155)\/30). What is the highest common factor of y and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108576937 > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000001111100 (base 2) to base 13.\nAnswer: 94bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1221\/220)\/(-37)*(-160)\/1140?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -13)*(32\/12 + -3). Suppose 5*q - f*a = 3670, 2*q - 3650 = -3*q - 5*a. Is 40 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-117)\/(-18) + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2, -5.15 in descending order.\nAnswer: -0.04, -2, -5.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*n**2 - 2*h**2*n**2 + 6*h**2 + 2*h*n**2 - 94*h - 2 wrt h?\nAnswer: -6*h*n**2 - 4*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-3)\/y))\/(y*y**(-2\/5))*y**3*((y*((y*(y**(-2)\/y)\/y*y)\/y)\/y*y)\/y*y)\/y)**36)**(11\/2) assuming y is positive.\nAnswer: y**(4356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1011202002202 (base 3) to base 14\nAnswer: -1239c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -563 * -0.036.\nAnswer: 20.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 27*o + 259. Let v be c(-9). Solve -5*w + d + 1 - v = 0, 2*w = 3*d - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453391 is divided by 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81279688, 81279686, 81279684, 81279682, 81279680?\nAnswer: 81279678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n**2 - 3*n)*(0*n + 2*n - 3*n) - 97*n**3 + 77*n**3 + 244*n**3 - 6*n**3 + n**3 + n**3 as q*n**3 + k*n**2 + l + t*n and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116877575 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 60, 97, 170, 291?\n\"Answer: 2*t**3 - t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**20)**(-37) assuming s is positive.\nAnswer: s**(-740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2156\/(-1155)*105\/3528*-20?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 79986015 = 3*a, -3*g = -2*a + 32565051 + 20758964. Round a to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1306929939*g**2 - 1143257175.\nAnswer: -2613859878*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 2 - (-16)\/9. Let l be 2\/11 + (-58)\/(-11) + -4. Let o = 23\/22 + l. Sort 0.04, o, y.\nAnswer: y, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 3:38 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 + 124*c**2\/13 - 1262*c\/13 + 1136\/13.\nAnswer: 2*(c - 8)*(c - 1)*(c + 71)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.7 and 9.609.\nAnswer: 218.1243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 295645751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86370038.54 rounded to the nearest one thousand?\nAnswer: 86370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -54 + 18. Let h = a - -6. Which is smaller: h or 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204381.03 hours to weeks.\nAnswer: 1216.55375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 58*d**2 - 173*d - 656. Determine c(-61).\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.13 rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (13 - 8) - (-6 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-6))\/((-78)\/(-26)))\/((-11)\/(14784\/40))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-22)*-20*(-21)\/315?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -3*c - 20. Calculate the remainder when 75 + -2 - 4\/(4 + c) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 14442752. Let p(t) = -2*t**2. Give c(p(v)).\nAnswer: -2*v**2 + 14442752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 13532080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**7\/28 + 2*q**6\/5 - 3*q**5\/20 - 2*q**4 + q**3\/4 + 6*q**2 + 2*q + 3. Determine z, given that x(z) = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*g + 1, 5*g + 3 + 6 = -4*j. Let c be 40 + j + (0 - -3). Suppose -v + 0*v + c = 0. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4 - 4*f**2 + 4*f - 2*f**2 + f**2 + f**3. Let t(c) be the first derivative of -3*c**2\/2 + 15*c - 119. Let p be t(4). Determine g(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*y = -251*y - 546. Calculate the remainder when 96 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325 - 302. Suppose -z - 47 = -7*f. Suppose -8 = 2*y - 4. Let s(q) = -q**3 + q**2 - q. Let a(j) = -6*j**3 + 4*j**2 - 5*j. Calculate f*s(u) + y*a(u).\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.242 rounded to 1 dp?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 - 2*h**2)*(-5 + 1 + 5)*(13 - 13 - 6*h**2).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22267.111092 rounded to the nearest one hundred?\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 - 182688*s**3 - 1096124*s**2\/3.\nAnswer: -s**2*(s + 2)*(s + 548062)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 87. What is the third derivative of -x*z**2 - 25*z**3 + 37*z**2 + 2*z**3 wrt z?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 0*g**3 - 2*g**3 + 3*g**3 - 1 - 3*g. Let l = 10 - 7. What is the units digit of b(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 7. Let n be ((-3)\/7)\/(24\/16). What is the nearest to n in 1, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2. Let x(n) = 22*n - 371 - 459 + 14*n - 38*n. Determine s(x(f)).\nAnswer: 8*f**2 + 6640*f + 1377800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*g = -2*x + 14, 77*x = 4463*g - 4460*g + 456 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 401069582 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 7*r + 20. Let x be n(-5). Let f(b) be the second derivative of 0*b**3 + 0 + 0*b**2 - 5\/12*b**4 - x*b. Let z(o) = 6*o**2. Give 7*f(t) + 6*z(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496300 and 6.\nAnswer: 1488900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 17*z**2 - 2*z + 38. Let s be n(-11). Suppose 4*g = 562 + s. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12243 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 655572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 645 - 13579 = 0. Suppose 30*q - s = 26*q. Calculate the remainder when q is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58512*b**4 - 5931*b - 587032123.\nAnswer: 234048*b**3 - 5931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 15*m**3 - 2*m + 5*m to the form a*m + h*m**3 + r*m**2 + i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 123. Let v be 48\/(-32) + 90\/h. Solve v = -4*l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24067006 is divided by 508.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64 - -372)*((-14)\/(-6))\/((-1)\/(-6)). Calculate the highest common factor of i and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 326 + 5*p**2 - 2*p**4 + p + 0*p**3 + 310 + 2*p**3 to w*p**4 + v + k*p + y*p**2 + a*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4401 + 603. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -183*m + 15. Let b be k(-5). List the prime factors of (-6)\/(-4) - b\/(-12).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212123 (base 4) to base 3.\nAnswer: 221211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 - 84\/8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-39)*-1*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 - 47*q + 47*q + (0*q**2 - q**2 - q**2)*(-4 - 3*q + 4).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let n be c(-6). Suppose -3*i + 23 = -n*b, 2*i - 4*b - 17 = -1. Solve -h = -f - i, 2*f + 1 + 5 = -4*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -10885342.\nAnswer: -11\/5442671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -4\/11, 1\/3, 439, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 4*q. Let a be t(-3). Let z = a - 18. Let j be 2*(-3)\/(-6)*z. Is j < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 945 and 81?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:04 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-48))\/(-2*2\/24). Let n(l) = -l**3 + 4*l**2 + 2. Let q be n(4). Solve -q*d - 2 = -m*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/686 and (-12)\/(-24) + 33\/(-8).\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -535629792.89.\nAnswer: -535629801.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7.22 (b) 0.5 (c) -0.4 (d) 0 (e) -3 (f) -9 (g) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 3*x**5\/20 - x**4\/4 - x**3\/3 - 23*x**2. Let w(b) = -8*b**2 + 0 - 1 + 5*b + 3. Calculate -6*m(d) - 7*w(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74372 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.01103, 1, 1\/3, -37?\nAnswer: -0.01103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 2, b: 3, t: 1, w: 6, d: 2}. Give prob of picking 2 w and 1 b.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -48*b - 16. Let h be g(-1). Let f(j) = 35*j**2 - 57*j**2 + 14 - 5 + h*j**2 + j**3 + j. Give f(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(20\/3)*u**(-15)*(u\/((u\/(u\/(u*u\/u**(-23))))\/u))\/(u\/(u*u**18)) assuming u is positive.\nAnswer: u**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805014*b + 757267*b + 559870*b.\nAnswer: 2122151*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18413 divided by 620.\nAnswer: 18413\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + 4*d**3\/3 + 3*d**2. Let m be j(-6). Suppose 28 = m*h + 2*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3760 + -2249. Suppose 5389 = 5*x - y. Calculate the common denominator of x\/54*(-6)\/(-8) and -11\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1272*c + 4505*c + 2778 + 901*c wrt c.\nAnswer: 4134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 4. Let h be g(-7). What are the prime factors of 105\/6 - h\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6938142 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -353*u**3\/3 + 212*u**2 + 206. What is the second derivative of y(p) wrt p?\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -3 - (6 - 7). Let f(i) = 4*i + 5 + 5 - t*i. Let d be f(-10). Solve d = -3*p + 5*m + 22, 0 = -p + 3*p + 4*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 3. Let o = t + 26. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(320)*-4 + -5 + (sqrt(320) + -2*sqrt(320) - sqrt(320)) + sqrt(320)) + -3)**2.\nAnswer: 480*sqrt(5) + 8036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(1250) - (sqrt(1250) + (sqrt(1250) - (sqrt(1250)*2 + sqrt(1250) - sqrt(1250))))))\/(sqrt(90)*-1 + -5*sqrt(10)*-1)*2.\nAnswer: -30*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 23 = -4*w + 11, -5*t + 3*w = -25 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3)*(-6)\/(-15)*840\/(-112)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5674103900 to the nearest 1000000.\nAnswer: -5674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*2)\/(5*-3). Let s = -2518\/4977 - -34\/553. Put 4, m, s, -5 in ascending order.\nAnswer: -5, s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 1830811?\nAnswer: 1830811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -60. Suppose -i*d + 39 = 39. Is 2\/519 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4204368 divided by -2408?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -80*(4\/(-14) + 270\/(-525)). Let i = -60 + w. Suppose 5*h - i*v - 412 = 3*h, 5*h = -2*v + 1042. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 116. Is (-32)\/24 + ((-10526)\/r)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 - 6*c**2 + 17*c + 55. Let r be w(-3). Solve 0 = -r*q + 37*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243 + 184. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5891562 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86755 is divided by 17287.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/43 (c) -29.9203 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 2*q + 3*q + q + 23 to u + m*q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3434 = 869. Suppose k = 2*i - x, -3*i - 1284 = -8*i + k. Suppose 11*q + i = 12*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -125*n**4\/12 - 25*n**3\/3 - 5*n**2\/2 - 2*n. Find p, given that g(p) = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2723*-0.16371\nAnswer: -445.78233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/80)\/(0 - 24\/(-11936)). Let l = h + 112. Let o = -1\/12 - -5\/12. Which is the smallest value? (a) l (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063*b - 1068*b = -3*i + 117, 45 + 96 = -13*b + 3*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1254231450 by 250846290.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(304) - -1*sqrt(304))\/sqrt(8))\/(sqrt(18)*2))**2.\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 103*n - 72 - 2736 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 120 = -5*b. Suppose 0 = -4*s + b + 54. Suppose 5 = 2*q - s. Is q 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 18216841?\nAnswer: 769, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.0867, -4\/37.\nAnswer: -2\/5, -4\/37, 0.0867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - j)*(165*j**3 - 165*j**3 - 32*j**4)*(-2 + 3 + 21 + (-6 + 1 + 4)*(-1 + 5 - 2)).\nAnswer: 640*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/2*1072\/1474.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i + 9 = 114*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -26263.\nAnswer: 26263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8562994 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29357386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.880233us in minutes?\nAnswer: 0.00000041467055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/7)\/(567\/6804*(-16)\/14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12240*a**2 - 5 + 5 - 2 - a**3 + 12104*a**2 to the form s*a + p*a**2 + k + b*a**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -340, -2773, -9402, -22327, -43648?\n\"Answer: -350*z**3 + 2*z**2 + 11*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + 0*u**2)*((0 + 4 - 2)*(u - 5*u + u) + 0 + 3 + u - 1).\nAnswer: -5*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006131 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4))\/m*m*m**(-2\/9)*((m\/((((m**(1\/4)\/m*m*m)\/m)\/m)\/m*m))\/m)**(-2\/43) assuming m is positive.\nAnswer: m**(-2521\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 6*c - c + 8*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*l**2*q + 2*f*l**2 - 700*f*l - 400*l**2 + 2*l*q wrt l.\nAnswer: 2*f*q + 4*f - 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -12. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 241412 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s. Suppose 2*m - 34 = -4*r, -r + m - 4 = -m. Let z = 12 + -9. Let h(p) = -r*p + z*p**2 + 6*p. Give t(h(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-2))\/(2\/(-4)). Let x be (-1)\/(-6) + (-91)\/6. Let r be ((-10)\/x)\/(1\/48). Solve -r = 5*l - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, 0 = -31*t + 32*t - 4*b - 221. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*n + 24 = 154*n + 3*c, 7*n - 113 = -23*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u - 5*h = -46, 0 = -h. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 12) to base 10\nAnswer: -579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 98 = 29*t. Suppose -2*p = 1 - 19. Calculate the smallest common multiple of p and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(-40)\/20. Suppose -4*r + 103 = a*z, z - 29 = -2*r + 24. Let v be 132\/r + (-6)\/(-21). Solve 4*d = 4*l + 32, 2*d + v*l = -3 - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 7867261.\nAnswer: 3\/7867261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 158 = -o + 387, 5*o = -p + 109. Find the first derivative of 10 + 5 - 149*u**3 + p*u**3 + 21 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/24 - w**3\/6 - 135*w**2\/2 - 176*w. Let f(l) be the first derivative of x(l). Determine f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1366815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 359. What are the prime factors of j?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17611301 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -595822.95 + 0.1\nAnswer: -595822.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 + 7*x. Let u(v) = 3*v. Calculate z(u(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let p(h) be the second derivative of -h**5\/20 + h**4\/2 + 7*h**3\/6 + 3*h**2\/2 + 15*h. Let r be p(7). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcssdvccsscc. Give prob of picking 1 v, 1 s, 1 d, and 1 c.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166857863 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6823775.377+0.05\nAnswer: -6823775.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103759 + -5.\nAnswer: 103754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 954 + -4766\/5. Factor 0*t + 2\/5*t**4 + o*t**3 + 0 - 6\/5*t**2.\nAnswer: 2*t**2*(t - 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - 2. Let t(n) = -9*n + 1. Give 5*t(q) + 4*z(q).\nAnswer: -13*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3*j + 0*j - 9*j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 101, 1, -30, -3.\nAnswer: -30, -3, -1.3, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1190760700 to the nearest 1000000.\nAnswer: 1191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 16. Let t be m(7). Suppose -t*i - 55 = 6*i. What is the closest to -0.1 in 0.1, -1, i, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from pipqpqppipuiiupiuip.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598 = -144*y + 41*y + 57*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/(-14) + 1 + 18\/42 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 135*b**4 - 5*b**2 + 7*b**2 + 46*b**4 - 146 + 150 to v*b + m + l*b**3 + c*b**2 + p*b**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 72*l - 12 - 64*l + 15.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 11. Let f = n - -7. Suppose -w + 3*b - 19899988 = f, 5*w + 79599988 = w + 3*b. What is w rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 + 5961*q - 11844507\/2.\nAnswer: -3*(q - 1987)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -471 - -471. Suppose 12*b - 1876 - 8000 = p. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23422196 is divided by 169726.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -55. What is the highest common factor of 41 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -r*a - 3*w - 8 = -3, -5*a = -4*w - 45. Calculate the remainder when 8 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 429568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7660.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 362 (c) -3\/8 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 2*c + 1\/20*c**5 + 19 - 11\/6*c**3 + 1\/2*c**4 + 7\/2*c**2. Give d(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16968817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-2)\/1)*3. Suppose h*f = 2 + 25. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 3. Let c = -40 + 40. Suppose c*t = -5*t. Suppose t*f - 5*f = -10. Let s(u) = -u**2 - 1. Give f*g(p) + 6*s(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 171 + 225. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/47, -1\/7, -1\/6, 2, 1.8, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 3536887.\nAnswer: 8\/3536887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 8. Let g = -34 - -24. Let v be i(g). Let d(k) = 12 - 3*k**2 + 2*k**2 - 13. Determine d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -175, -414, -749, -1180, -1707, -2330?\n\"Answer: -48*i**2 + i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2963a2 (base 11) to base 6.\nAnswer: 13524232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 3*g**2 + 11*g. Let o be w(5). Solve -o*a - 5 = -6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 53 + 9 + 59*w**3 wrt w.\nAnswer: 177*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.6148 in -2\/11, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**6 + 6257223*r**5 + 161502*r**2 wrt r.\nAnswer: 360*r**3 + 375433380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.3612 rounded to the nearest integer?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126.09 * 101.\nAnswer: 12735.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -1aecb14?\nAnswer: -1aecb1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/11? (a) -2\/7 (b) -4\/7 (c) 7936.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -417, 4.\nAnswer: -417, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -49*p - 14. Let a(g) = 98*g + 28. Let h(i) = -3*a(i) - 5*n(i). Let j(o) = 24*o + 7. Let r(k) = -2*h(k) - 5*j(k). List the prime factors of r(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24783.88869 and 23.\nAnswer: -24760.88869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 34 - 46 = 0. Suppose -2*u - 2*v = -174, 11*u = 13*u - c*v - 162. What is the remainder when u is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24962 = 3329*v - 50435 - 330741 for v.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -135. Let j = y + -155\/2. Factor -j*z**3 - 3*z - 9\/2*z**2 + 0.\nAnswer: -3*z*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 + 18 = 0. What is the remainder when (5 + -7)*(-26)\/4 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3744 and 29952?\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57 minus -0.2234978044?\nAnswer: -4.3465021956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-50)*8\/(-6)*(-35)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxgxiixiiiixixx. Give prob of sequence xgxx.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -130, -105, -96, -109?\n\"Answer: -q**3 + q**2 + 39*q - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**3 + 132*x**3 - 75*x**3 - 22*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 133 - 7. Solve q = 2*u + 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 0.3, -6, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*y)\/y**4*(y*y**(-2\/5)*y)\/(y\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -1)\/((-4)\/(-4)). Let v = 19 + f. Differentiate 1 - v*q**3 - 2*q**4 + 8*q**3 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 345, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 256788476 to the power of 1\/2, to the nearest integer?\nAnswer: 16025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3745317823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 708343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxufxuuuufuxxxx. Give prob of sequence fxux.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 694342279 to the power of 1\/2, to the nearest integer?\nAnswer: 26350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 21\/9)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 3. Let x(u) = -6*u**2 - 1. Let i be x(1). Let v be n(i). Let o be (3\/6)\/(9\/v). What is the closest to 0 in 3, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 455\/47?\nAnswer: 455\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3332 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 7*c - 2*c - 2*o, 5*c - 5*o - 115 = 0. Solve -5*d + 2*s - 31 = -0*s, 3*s = 2*d + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32844136 and 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1342 - 13 - (-2 + -2). Suppose 0 = 2*g - 69 - n. What are the prime factors of g?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7717 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/8, 3\/8, -4, 29, 9.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*n + 18, -4*l + 6*n - 4*n = -108. What is the second derivative of 60 + 0*b**5 - l + 5*b**5 - b - 3*b**3 wrt b?\nAnswer: 100*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-30)\/(-36))\/((-5)\/(-10)))\/((-5)\/(-3)). What is the nearest to h in 0.3, -3, -1001?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -23111*m. Let v(c) = -c. Determine v(d(r)).\nAnswer: 23111*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 + 2*s - 3. Suppose -2*j - 12 = 4*d, 0*d = 4*d + 16. Give o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/747 and -145\/18.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 59*z - 52*z. Suppose -z*h - 5 = 4*n - 73, 0 = -4*h - 16. Suppose 0*w - 186 = -3*w. Calculate the remainder when w is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6018913, -6018911, -6018909, -6018907, -6018905?\nAnswer: -6018903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let n = -1.2 + 11.2. Let a = -15 + n. What is the smallest value in a, 0.2, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a + 3*a + (3 - 1 - 4)*(3*a + 1 - 1) + 7*a - 7*a - 4*a + 2.\nAnswer: -8*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*l + 20 = -2*x, -x - 5*l = 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3500*r**2 + 33964008*r + 77632 = 0?\nAnswer: -9704, -2\/875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 2, -3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:07 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + 3*q**4 - q**4)*(2*q - 3*q + 0*q) - q**5 - 2*q**5 - 3*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -15. Let b = a + 6. What is the first derivative of 2*n**4 - n**4 - 4 + 3*n**4 - 5*n**b wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from {d: 7, v: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*i = -2*u + 19, -4*u + 3*i = -23. Let o(z) = z**2 - 3*z**2 + z**u. Let j(c) be the third derivative of -c**5\/60 - 2*c**2. Determine j(o(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssbbsbgbsb. Give prob of sequence gbs.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.55*0.31.\nAnswer: -0.1705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 32*f**3 - 3 + 12*f + 35*f**3 as m*f**3 + g + p*f + h*f**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 9*r + 29. Let k = 1838 + -1847. Let u(t) = t**2 + 2*t + 7. Calculate k*u(v) + 2*n(v).\nAnswer: -v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let d(s) = s**2 - 1. Determine d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 2, n: 10}. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m**2 + 14*m - 79. Let t(s) = 6*s**2 - 5*s + 26. What is 8*t(x) + 3*w(x)?\nAnswer: -3*x**2 + 2*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356485 divided by -68.\nAnswer: 356485\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/699300 and -181\/99900.\nAnswer: 699300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2048) + 2)**2.\nAnswer: -384*sqrt(2) + 18436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 1, -0.2, 1\/9, 4 in decreasing order.\nAnswer: 4, 1, 1\/9, -0.2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9430990491 plus 0.0253?\nAnswer: -9430990490.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15356402.\nAnswer: 2, 59, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-4 - -9) - 27. Let s = r - -25. Let h(j) = 1. Let w(a) be the third derivative of -a**4\/12 - 2*a**3\/3 - a**2. Determine s*w(n) + 2*h(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65760.06532 rounded to the nearest 100?\nAnswer: -65800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((5 - -34) + -2 - (-87 + 84)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 34.84 (b) 5 (c) 2\/7 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-25)))\/u**(-4\/5) assuming u is positive.\nAnswer: u**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/744 + 111965\/744. Let f = -150 + n. Factor 1\/2*t**4 + 0*t**2 + 0 + 0*t - f*t**3.\nAnswer: t**3*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8539 (base 15) in base 3?\nAnswer: -2112022012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) - 2*sqrt(99)) + 4*sqrt(99)*1)\/((4*sqrt(216))\/(sqrt(12)\/(sqrt(2)*1))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477\/5 - (-16)\/(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 6520*i - 6521*i = -12, -4*i = 2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2688156 and 239766?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 11. Let r(q) = -q**3 - 5*q**2 - 10*q - 13. Let y be r(-3). Let k(g) = -1. Calculate y*i(d) - 6*k(d).\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1122201 (base 3) to base 13\nAnswer: 71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 4*k - 1, -3*v + 3*k - 19 = 8*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2134 = -3*j - 559. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1\/24*a**4 - 1\/3*a**2 + 0*a - 1\/30*a**5 + 2\/9*a**3 + 13. Find o such that g(o) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 258*k + 472 + 818 = -2*q, -k + 10 = 4*q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9672 (base 12) in base 16?\nAnswer: -4076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -213 + 1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402885, 402857, 402827, 402795, 402761?\nAnswer: 402725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -30825.117.\nAnswer: -30825.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -1, -2\/7, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63842 (base 10) to base 5.\nAnswer: 4020332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 11, z: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {j: 1, o: 1, p: 10, h: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1818 - -2789. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 22. Let w be (9\/(-21) + 0)\/((-2)\/a). Suppose -w*f + 0*k + k - 14 = 0, -24 = 4*f + 4*k. Is -5 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1602, 1613, 1622, 1629, 1634, 1637, 1638?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89164 or 88984?\nAnswer: 89164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 489, 486, 483, 480?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 3*j - 10, 2*j = 2*x + 10. Let g = 0.62 + -274.62. Let o = -273.5 - g. What is the third smallest value in 4, o, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*15\/20)\/((-14)\/8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 26*b + 21*b = 12 + 1, 68 = -3*p - 16*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -411, -9 in decreasing order.\nAnswer: 2, -9, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u + 36*u + u**3 - u**4 - 39*u - 74*u + u**2 in the form p*u + j + o*u**2 + s*u**3 + r*u**4 and give p.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*y - 21, 2*y = -0*y + t + 11. Suppose 3*p = y*d - 30, -2*d - 6*p + 11*p + 8 = 0. Calculate the highest common divisor of d and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8104\/44 + -4*(-4)\/(-88). What is the greatest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720396 divided by 58?\nAnswer: -29662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s**5\/4 - 1109*s**4\/4 + 449*s**3\/2 + 50*s**2 = 0 for s.\nAnswer: -2\/11, 0, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -155, 28 in decreasing order.\nAnswer: 28, 5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 0, 4, 5, -8, -5 in increasing order.\nAnswer: -8, -5, 0, 4, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153647356 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66420.3 + 66370.30116. Let i = 50.9 - 0.9. Let v = d + i. What is v rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:32 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.12808 months in years?\nAnswer: 14.42734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -q - 5*b, 4*q - 5*b - 80 = -q. Let v = 242 + q. Let x = 57 + -24. What is the remainder when v is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbbbttebbbte. Give prob of sequence bbt.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 3*d + 2, 5*n - 3*d = 2*d - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 9. Suppose 0 = -2*v - 5*x + 22, v = -z*v - 4*x + 38. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 7690*i\/3 - 15388\/3.\nAnswer: 2*(i - 2)*(i + 3847)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05596+49\nAnswer: 48.94404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -37*l - 27*l - 32*l + 107*l + 1 - l**3 - 6*l**2. Is r(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -795 at most 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1482933, 1483238, 1483545, 1483854, 1484165, 1484478, 1484793?\n\"Answer: p**2 + 302*p + 1482630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71719 by 57.\nAnswer: -71719\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -12 - (-22 + 5)) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(132\/8)*(-1)\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 6079 = -5575 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 = 11. Suppose 2*g - 3*g + u = 3*f, 4*f + 4 = 0. Let t(x) = -x - 4. Let p be t(g). Is -1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16440 by -4.\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3156, -6348, -9584, -12876, -16236, -19676, -23208?\n\"Answer: -2*l**3 - 10*l**2 - 3148*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.495 and 36289?\nAnswer: 36271.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*y + 184, -3*r - 226 - 156 = -4*y. Calculate the remainder when y is divided by -3*(251\/(-15) - 4\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415517.\nAnswer: 415517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171))\/sqrt(9) + -3*sqrt(38)\/sqrt(2) + 3*(sqrt(19) - (sqrt(2299) + 0 + sqrt(19))))**2.\nAnswer: 21964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -99855\/13.\nAnswer: -99855\/13, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.661 + -0.841. Let k = -1.18 - o. Which is the smallest value? (a) k (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 17*l + 10577 + 16384 = 0. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*b**5 + 144*b**4 + 2575*b**2 - 3*b + 2 wrt b.\nAnswer: -8160*b**2 + 3456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 3*t + 49, -4*t = 4. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {c: 2, e: 2, i: 1, u: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-53)\/5*-1 + 168\/420. Solve -16*q = -o*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/7 + 479*k\/7 - 1446\/7 = 0.\nAnswer: -482, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*o = -48, 2*m - 2*o - 23 = 25. Let b be -1*1*m\/(-1). Suppose -5*y = -39 - 41. Calculate the greatest common factor of b and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -757.8011 - 0.5989. Round v to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/69949 and -85\/12718?\nAnswer: 139898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133 and 2.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.1, 2, 89?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/5, 4\/3, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/930 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14715 (base 8) to base 12\nAnswer: 39a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2 and 41\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457*i + 1175262415 = -1139533985. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 4, -1044, -2, 9.\nAnswer: -1044, -38, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*a = 184, 383 = 2*t + 2*a - 1. What are the prime factors of t?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/24 - 3*k**3\/2 + 35*k**2. Let i(z) = -2*z + 10. Suppose 2*o + 0*o = 4. Let t(c) = o*i(c) + 3*m(c). What is t(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -45\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393012 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -29*s - 56. Suppose 6*h - 20 = 2*h. Solve -5*a = -z + 24, a - h*z + 32 - s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5318 + -4?\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsgq when four letters picked without replacement from gsqgssgqssqsq.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c - 4. Let b be v(7). Suppose j - 4*h - 11 = 0, 2*h - 93 = -5*j + b*h. Solve 5*z = 3*m - j, -8 = -2*m - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*m = 4, -3*a + 4 = -11*m + 6*m. Suppose a*j = q + 310, j - 514 = -4*j - q. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8, -4 = 2*g - 2*l - 2*l. Find the second derivative of -12 - n**g + 12 - 5*n**2 - 2*n wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*l = -405, 0 = 5*d - 0*l + l - 972. Suppose 5*k + f + 4*f - 185 = 0, 3*f - d = -5*k. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 6\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44719403\/304 + -2574438\/19. Let d = 11611 - x. Find the common denominator of d and (-1 + (-538)\/(-4))\/21.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - -221?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 - 3*f - 2*f - 7*f - 3 - f**3 + 8*f. Determine g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = d - 118, 2*d + t - 162 = 94. Solve -d = -68*m + 86*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 29*j = -249. Let p = -88 - j. Suppose 4*d = 0, 4*d + 3 = 3*f + 15. Is p smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54375 is divided by 87?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-4)*n)*n**(-3\/8))\/(n**0*n*n**(2\/15)))\/((n**(2\/5))**10\/((n*n\/(n\/(n*n**(-1\/2)*n))*n)\/n)**(-42)) assuming n is positive.\nAnswer: n**(-12781\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -24*r**3 - 5*r**2 - 113*r - 281. What is o(-5)?\nAnswer: 3159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85, -79, 93, 515, 1271, 2445?\n\"Answer: 14*o**3 - o**2 - 89*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -6212, -2, 3, -4 in decreasing order.\nAnswer: 3, 0, -1, -2, -4, -6212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:08 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41494.19 rounded to the nearest ten?\nAnswer: 41490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 25121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 4158 = -243*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 + 2 = -y, 0 = y - 5*g - 15. Let n = -8 - -8. Solve -2*x = d - n*d + 8, -2*d + 3*x = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/9 + 4\/3*a + 2\/9*a**2.\nAnswer: 2*(a - 2)*(a + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u = 146*u - 264 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 + 220. Let w = 139 + j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6646438 grams to micrograms.\nAnswer: 664643.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - i + 6. Let f(a) = -14845*a + 222687. Calculate the remainder when f(15) is divided by d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/9 + (-31155)\/(-18090)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -516, -3 in descending order.\nAnswer: 13, 3, -3, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576665458 is divided by 756.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 28 + 32 = 0. Suppose -2*j + 3 = g + 2, v = 2*g - j. Find the second derivative of w + 3*w - 3*w - g*w + 2*w**2 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/23770 - 14951357\/641790. Let z = x - -5\/108. What is the common denominator of z and -179\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9263.\nAnswer: 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, e: 5, o: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -127092 divided by 2492?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -775*m**3 + 9*m + 126. Let s(i) = -3*i. Give t(s(k)).\nAnswer: 13950*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/209 and 254\/57 + (9 + -13)*(-2)\/(-2)?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.1. Let k = 0.05 + -0.13. Let z = k - -4.08. What is the second biggest value in v, -4\/3, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/(-21))\/((-6)\/(-777)). Calculate the common denominator of (-3)\/48*g\/(-10) and 17\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308223654127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/14 + (-2 - 1240\/(-35)). Suppose 30 = j*f - 27*f. Solve l + f*s + 24 = 0, -3*l + 0*l + 2*s - 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -978336.1 and -0.4?\nAnswer: 978335.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1527894329 to the nearest integer?\nAnswer: 39088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 29 = 62. Let l(u) = u**3 - 12*u**2 - 14*u + 24. Let s be l(x). Find the second derivative of -6*b**3 - b**3 - s*b**3 - 27*b wrt b.\nAnswer: -108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshjsqdqhsspq. Give prob of picking 1 h and 1 d.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000729 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 807024 and 7544?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -17?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 9. What is the units digit of (-1 + (-14)\/(-10))*h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-1\/6)*z*z*z**7\/z*z*z*z*z\/(z*z**(-4)\/z)*(z*z\/(z**(-2\/7)*z))\/z*z assuming z is positive.\nAnswer: z**(845\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 10 = 11*q. What is the third derivative of -3*i**4 + 5*i**2 - 23*i**3 + 23*i**3 - 2*i**q wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 27 = q - 0*o, 4*q + o + 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236844 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 147.15 in ascending order.\nAnswer: -12, 3, 147.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -2\/9, 6, 7, -2\/13, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4522669628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + 9*t + 2. Let d be r(8). Solve -3*a + d = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Suppose -3*r + 5 = -h, -5*r = 55*h - 54*h - 11. Let f(z) = -2*z**2 - 2*z + 2. Calculate h*f(l) + d(l).\nAnswer: -2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.43021364 take away 125?\nAnswer: -113.56978636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 - -187. Let w = -7 + 10. What is the remainder when w is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*l - 66272 + 68567 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -12 - (-4 + -7 + -85 + -14)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7750273.\nAnswer: 7750273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 - 36*f + 48. Let d be r(7). Let i(j) = j**3 + 1. Let y(t) = -2*t - 8. Calculate d*i(n) - y(n).\nAnswer: -8*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:46 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11291169.96us in weeks?\nAnswer: 0.0000186692625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 105*v**2 - 316*v\/3.\nAnswer: v*(v - 1)*(v + 316)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218308 divided by 144.\nAnswer: 54577\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 198480 at least 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(((-5587)\/(-10212))\/151)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/30 + 3\/18. Let f(z) be the second derivative of -t*z**6 + 5\/12*z**4 - z**2 - 1\/20*z**5 + 0 - 2*z + 1\/6*z**3. Factor f(n).\nAnswer: -(n - 1)*(n + 1)**2*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1866*d + 1955. Give a(-1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-598 + 53*y + 1199 - 602)*(24*y - 24*y - y**2)*(-4 + 4 + 2*y)*(-3 - 3 + 5).\nAnswer: 106*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 12\/54)\/(2\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*b + 4*t - 7, 5*b + 2*t = 3. Let x be -1*(0\/(-3) + b). Suppose -5 = 5*y + 20. Sort x, y, 3 in ascending order.\nAnswer: y, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 385.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 51 + 97 + -144 - (0 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 3*c = 28*y - 452, -5*y = -3*c - 2296. What is the remainder when y is divided by 458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(153\/187) - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-364)*((-22)\/8)\/(-11)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 16*s + 70 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-2*d**2 + 1 - 1)*(0 - 6*d - 1 + d).\nAnswer: -20*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24463297 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17280)\/(-21))\/(4\/(-2100)). Round r to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s. Let v(w) = 145357*w**2. What is v(y(p))?\nAnswer: 3633925*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 7*z - 5. Let a be v(8). Solve 3*u - 2*u = a*t - 3, 3*u - 5*t + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = 28. Let u(j) = j**3 + 13*j**2 - 14*j + 7. Let h be u(l). What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 754\/5 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llbb when four letters picked without replacement from lblllllllbllbll.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127042107 a multiple of 463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 6*y = -32. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 3. Let h(x) = 34*x - 11. What is h(o) + 3*w(o)?\nAnswer: 31*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3\/2*j**3 + 3*j + 0*j**2 - 1\/2*j**4 + 59 + 3\/80*j**5. Factor h(k).\nAnswer: 3*k*(k - 6)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74117 - -20233907\/273. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 795 - -181. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 - 17*s + 18*s + 1 - 2*s**3 - 6*s**3. Let l be u(-1). Solve 2*p + l = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/16 and 145\/4884?\nAnswer: 19536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -26810\nAnswer: 9\/26810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 + v**2 - 2*v - 3. Let d(u) = 18762*u**3 + 531*u**2 - 1062*u - 1593. What is -d(h) + 531*q(h)?\nAnswer: -17169*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 + -15 + -84 + 78?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/4 + 2*a**2 + 3*a\/4 - 1\/2 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53096 - -51643. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*z - 272*z - 64715 = 850*z - 136*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o. Let f(x) = x**2 + 4*x + 4. Let b be f(0). Let j(y) be the second derivative of -y + 1\/6*y**b + 0*y**2 + 0*y**3 + 0. Give z(j(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**6\/i)\/(i**(-1)\/i))\/(i\/((i\/(i*i**(-1)))\/i)*i**(2\/9)\/i) assuming i is positive.\nAnswer: i**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmjjcjjy. What is prob of picking 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 - 5*h**3)*(-3*h + 5*h - 3*h)*(-2 - 164 + 5576*h + 166).\nAnswer: 33456*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by ((-45)\/10)\/(-2 - 164\/(-88)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-36 - (-10 + -24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(108)\/(-2*sqrt(12))) + -3 - ((((sqrt(11) + 3)*4 - sqrt(11)) + sqrt(11))**2 - (sqrt(11) - (sqrt(11) + 3 + 2))).\nAnswer: -328 - 98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002155195 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100001101100 + -100?\nAnswer: 11000100001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507, 1165, 797, 391, -65?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 4, n: 4, y: 8}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 25 + 16 - 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:42 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6228 + -4111. What is the remainder when j is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2605 and 4689?\nAnswer: 23445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439*m - 368 - 5167 = 3270 + 4146 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3 - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/20 and 105\/986.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)*(2 - 1). Suppose -51*h = -49*h - 6. Solve -x*o = -o - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 130. Sort -4\/7, t, 1\/8 in increasing order.\nAnswer: t, -4\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -633003, -1266065, -1899129, -2532195, -3165263, -3798333, -4431405?\n\"Answer: -y**2 - 633059*y + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.4 - 20. Let f = 3.6 + p. Let d = -2.4 - -2. Sort 3\/4, f, d.\nAnswer: f, d, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**2*j**3*t - 54*d**2*j**2*t - 3*d**2*j*t - 8*j**5 + 3*j**4*t wrt j?\nAnswer: -36*d**2*t - 480*j**2 + 72*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563452 is divided by 37554?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t - 16*t + 8*t. Let x(u) = -4*u**2. What is q(x(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:02 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**7\/420 + d**6\/120 - d**5\/120 - d**4\/12 + 4*d**3\/3 + 7. Let g(m) be the third derivative of i(m). Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (232\/80)\/(78\/780)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581.469l in millilitres?\nAnswer: 1581469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32449\/8 + -4062. Let l be (563\/28)\/(108\/(-21)). Let d = 5\/16 - l. Calculate the common denominator of n and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23043 + 23037 - (0 + 1 - 33)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 449*q - 450*q + 1360*c = -17683, -q - 3*c - 45 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2 + (-5 + 2 + 2)*(-4 + 1 + 2))*((52*k + 9*k + 31*k)*(k - 4 + 4) + 3*k**2 - k**2 + 3*k**2) to j*k**2 + q*k + a and give j.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(234)*4)\/sqrt(9) + (sqrt(26) - (sqrt(416)*-4 + sqrt(26))))\/((4*(sqrt(2) + sqrt(18)) - (sqrt(242)*-2 - sqrt(242)))*2))**2.\nAnswer: 1300\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-1365))\/(5\/(-15))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q + 1\/24*q**4 + 1\/6*q**3 + 3*q**2 + 0. What is the first derivative of t(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let x be z(-3). Suppose -y = -2*i + 68, x*y - 154 = -4*i - 26. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47529?\nAnswer: 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 17838*s - 26516187.\nAnswer: -3*(s + 2973)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12737 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-15) + 4414\/13224. Let v = y - -44071\/19836. Calculate the common denominator of v and -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -261 - 974. Let n = x + 353. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/20 and (-18)\/(-153) - 5307\/1326?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbs when three letters picked without replacement from sssssssssbsbsssssss?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48.6 + 48.599993. What is g rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6744 + -10380. Is -3636 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -4.07. Let m = 3 - k. Let i = m + 0.9. Round i to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 6, y: 7, z: 1, p: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(75) - -4*sqrt(75)).\nAnswer: -125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14266541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/610753104 and 61\/6.\nAnswer: 610753104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1710*k + 8540. What is u(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/28 - (10 - 1081674\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6420, 25653, 57708, 102585, 160284, 230805, 314148?\nAnswer: 410313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)*z**(2\/13)*z)**(-36)*((z*(z*z**(-4)*z)\/z*z)\/(z*(((z**2*z)\/z)\/z)\/z))\/(z**(3\/4)\/(z*z**(-1\/3)*z)) assuming z is positive.\nAnswer: z**(-137563\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100584 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25125 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 10 + 10. Let n(f) be the second derivative of f**4\/12 + 8*f. Give z(n(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 68 + 638\/(-145) + 4\/10.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:12 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*b + b - 4 + 6 + 4.\nAnswer: -70*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.210576 times 0.061\nAnswer: -0.012845136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-1 + 1 + 2*x**4) + x**4 - 15*x**4 - 3*x**4 + (x**2 - 4*x + 4*x)*(-x**2 + 4*x**2 - x**2).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f - f + f - 6*f + 4*f + (-f - f + 4*f)*(5 - 3 - 4) - 2 + f + 2)*(-f + 2*f + 0*f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193543748 or 193543747?\nAnswer: 193543747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5)\/u)\/u**(-1\/27) assuming u is positive.\nAnswer: u**(136\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4556412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:27 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w**2 + 24*w. Let z(c) = -67*c**2 + 99*c - 1. Let o(n) = -25*m(n) + 6*z(n). Determine o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 263, -1, 60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x = 205*x - 1447668. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282634 divided by -4873\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 7*f + 15. Let m be a(-15). Suppose 0*d - m = -3*d. Is 38 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc (base 14) to base 11.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 - -139.6. Let j = 61 + h. Sort -3, 6\/11, j, 1.1 in descending order.\nAnswer: 1.1, 6\/11, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/4, -70, 0, -2.\nAnswer: -70, -2, 0, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102679177 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 + 6 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3\/(-6))\/((-41)\/82). Suppose -2*v = -x*b - 193, 317 = -110*v + 113*v + b. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351550, 5406187, 12163906, 21624701, 33788566, 48655495?\nAnswer: 66225482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(-3 - (4 + -4)). Suppose 3*t + 16 = -5*a, -3*t - t - a - 10 = y. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 864*h**4 - 44*h**3 + 332*h**2 - 74001554*h?\nAnswer: 10368*h**2 - 264*h + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 4. Let w(u) = -12*u - 13. Let p(g) = -g + 1. Let q(b) = 2*p(b) + w(b). Calculate -11*i(t) - 4*q(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31056189 is divided by 108969.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n + 27. Give u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*d - 1, 3*d + 6 = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116314, -1, 4 in decreasing order.\nAnswer: 116314, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33562.\nAnswer: 2, 97, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/9 - (-62)\/279. Let u(l) = -l**3 - l**2 - l. Let c be u(0). Suppose c = -r - b - 3, -2*r - 11 - 10 = 5*b. Put 5, r, i in increasing order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8649, 1, 0.4, 0.426, -0.2 in descending order.\nAnswer: 1, 0.426, 0.4, -0.2, -8649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64010 and 691308.\nAnswer: 3456540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149381\/21510 + 1\/3585. Let t = -33\/2 + 62\/3. Find the common denominator of t and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 303, 689, 1229?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w + 5*r + 25, 2*r + 3 = -w. Solve p = w - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkmeew. What is prob of picking 1 k and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 + 19 = x, -4*k = 3*x + 1. What are the prime factors of (2188\/(-6))\/(((-28)\/(-6))\/x)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 3, x: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -19*y - 76. Let d(x) = -1. Let w(f) = 76*d(f) - q(f). Let g(i) = -97*i + 31*i + 36*i + 29*i. Give g(w(j)).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28653*x**5 - x**3 + 5557*x**2 + 2*x?\nAnswer: 1719180*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 110*m + 114*m + 19128, -4*m = -5*o + 31880. What is the remainder when o is divided by 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - p + 421 = -772, -5*p = -5*j + 5925. What are the prime factors of j?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 29*n - 74. Give r(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15610482.\nAnswer: 2, 3, 173, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-980)\/36 + 3 + (-4)\/(-18). Let u be n\/(-3)*(7\/2 + -3). Solve 0 = -5*k - h - 3 + 17, 0 = 4*h + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19168\/(-64)*8\/(-4). Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1 (b) 0.1 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 135 (b) -60 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/3 - 49. Let i(h) = -10*h + 42. Let j be i(9). Let g = j - n. Solve g = l - 5*d + 1, -3*l + d + 10 = -d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 9922 = -z + 8382. Solve 2*g = -z + 706 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 0 + 0*q**2 + 4*q + 6 + q. Let y be t(-4). What is the second derivative of -5*m + m**2 - 4*m**y + 2*m wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a + 32 = -3*d + 58*a, -5*a + 37 = -3*d. Let b(i) = 15*i**2 + 25*i. Is 14 a factor of b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9149.3 and -5.\nAnswer: -45746.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(2*i + 2*i - 2*i)*(57 + 53 - 52).\nAnswer: -116*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 131124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4120, 4121, 4124, 4129?\nAnswer: 4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1669120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 48*q**2 + 99*q\/2 + 97.\nAnswer: -(q - 2)*(q + 1)*(q + 97)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.4 (b) -2 (c) -0.003 (d) -0.2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - -15) + -19 - (-2 - (-2 - 30))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**3 - 7*y**2 + 55*y. Let g(f) = 7*f**3 - 9*f**2 + 55*f. Determine -3*g(a) + 4*j(a).\nAnswer: -a**3 - a**2 + 55*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -35, 2\/5, -6\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*f**2*v + 2942*c**3*f*v - 667*c**3 - 3*c**2 - 2129*c*f**2 + 23295*c*v wrt c.\nAnswer: -24*f**2*v + 17652*f*v - 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.021 - 26.979. Let h = k - -26.98. Is h < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - s**2)*(-152*s + 15*s - 52 + 52).\nAnswer: 137*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 3*d**3 - d**2 + (-3*d**2 + 0*d**2 - 2*d**2)*(136 + 13*d - 136) to the form p*d + o*d**2 + r + j*d**3 and give j.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/3*24\/(-20). Suppose -4 + 16 = z*y. Which is the second smallest value? (a) -0.2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 3*l + 2*l)*(-2 - 3 + 0)*(5*l - 7 + 7 + 2 - 2 + l + (5*l - 3*l - l)*(82 - 3 + 8)) to the form g + y*l + t*l**2 and give t.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 1545 - 1524 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5844678 divided by 402?\nAnswer: 14539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329483\/(-2541) + (6 - (-20)\/3).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 32. Suppose -q*g - 5280 = 2*g. Let x be 13\/(52\/g)*-1. Calculate the greatest common divisor of x and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2812.015439 - 2812. Round c to 4 decimal places.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:49 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 1299 - 39. Let u be ((-2)\/4)\/((-45)\/k). Let s = -3 - u. Which is the nearest to -0.1? (a) -3 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -56.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*b - 2122, -2*q = -4*q + 5*b + 4244. Suppose -3*g = -12, 0*g + q = 2*a + 3*g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {t: 2, i: 1, z: 1, m: 1, p: 2, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 2*x**2 + 4*x - 4. Let d be i(2). Suppose -5*r = -20, -3*r = 2*s - 6*r + 4. Let q = 6 - 1. Solve -2*f - q = -d*m - 1, s*m = f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -48. Let u = -77\/3 + 11. Let r = -15 - u. What is the nearest to 1\/4 in n, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 6. Let w(h) = -h + 5. Let o(z) = 4*m(z) + 5*w(z). Let f = 18 + -12. Suppose 28 = -5*n + 3*u, -f*u = 5*n - 8*u + 27. Give o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Suppose 0*p = -2*p - 10. Let u = 7 + p. Let x(h) = -u*h + 4*h + h. Calculate 4*b(t) + x(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42073687398 - 42073687398 + 309*o**2.\nAnswer: 309*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1\/8, -2\/7, -1001\/5, 4 in ascending order.\nAnswer: -1001\/5, -2\/7, -1\/8, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*k + 24, -5*w - 110 = 5*k - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2912825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13180358?\nAnswer: 2, 53, 124343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 13}. What is prob of picking 2 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 68*h. Let d(r) = 26*r**2. Determine d(p(j)).\nAnswer: 120224*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99748*p**2 - 199433*p**2 + 99671*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742621*f + 1485235*f - 742613*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4695.5 + 4695. Which is the third smallest value? (a) -4 (b) q (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.18058.\nAnswer: 0.18058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 37*j + 1860828 = 39*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let s = 2 - b. Suppose s = -0*u + u - 8. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3967?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1040064*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (21 - -30) - (-1 + (1 + -4 - 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394196 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2725*j**2 - 10902*j + 8.\nAnswer: (j - 4)*(2725*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + x)*(-3 + 6 + 1)*(5 - 5 + 4*x)*(-3 + 1 + 5) to v*x + a*x**2 + d and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + q - 2*q**2 - 1 + 0*q**2 + 0*q**2 - 8*q**3 to x*q**3 + r*q**2 + f*q + p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2. Let c(b) = 49*b. Give f(c(k)).\nAnswer: -16807*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-2\/5)\/r)**5)**(-24))**(-8))**(2\/47) assuming r is positive.\nAnswer: r**(-2688\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1, -1554 in descending order.\nAnswer: 1, -25, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 4*u + 79. Let g = 162 + u. Suppose f - 2*f + g = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 + -6 - (2 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 57. Let w be y(13). Solve 0*l = 4*l - 2*f - 16, -4*l + 16 = w*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*j - 90*j + 460*j + 12*j.\nAnswer: 963*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6321259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -135. List the prime factors of w\/12 - (-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110175 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229308 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(78)\/sqrt(6) + 2)**2 + 2 - ((3 + sqrt(13) + sqrt(468))**2 + -4)).\nAnswer: -623 - 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093434376 to the power of 1\/2, to the nearest integer?\nAnswer: 33067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 178 = 4*x - 3*x, -4*t - 3*x = -376. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67612 and 0.05?\nAnswer: 3380.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -4. What is the common denominator of -3\/7 and 174\/42 + 1\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 3. Let p be 37\/(-7) + 10\/35. Let w be t(p). Calculate the highest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 23. Give r(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781 (base 9) to base 3.\nAnswer: 212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3502071 and -17\/13725.\nAnswer: 87551775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13071*o**3 + 1383*o**3 + 5954*o**3.\nAnswer: -5734*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-616)*-35 - 1. Determine b so that 1\/4*b**5 - 1\/2*b**3 - q*b**4 + 0 + 0*b**2 + 0*b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) + 2\/10. Let d(i) be the first derivative of -i**3\/3 + 29*i**2\/2 - 51*i - 61. Let r be d(27). Put k, r, 5 in descending order.\nAnswer: 5, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2. Let k(w) = -1386617101*w**2. Give u(k(y)).\nAnswer: -3845413969571288402*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -0.228 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000255 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Suppose -10 = -10*z + 5*z. Suppose 4*p - 7*p + 3 = -2*i, 0 = -2*p - 4*i + z. Put -5, p, o in ascending order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110831 and 74036.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17*k**3 + 7*k**2 - 6*k + 15. Let m(c) = -20*c**3 + 9*c**2 - 7*c + 16. Determine 6*m(o) - 7*w(o).\nAnswer: -o**3 + 5*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 30 + 7*w + 14 + 19 - 8*w. Calculate x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6582346, 6582338, 6582328, 6582316, 6582302, 6582286, 6582268?\nAnswer: 6582248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215802272*x**3 - 201009820*x**2 wrt x?\nAnswer: 1294813632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76975 and 2700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 2*j + 3. Let m be f(2). Let g = 19 - 22. Let r = m + g. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 7*s. Let u = -26 + 37. Let d = 25 - u. What is the smallest common multiple of z(5) and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in -6, 9, 3\/2, -1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 5 - 5) + 0 + 2. Let b be ((-4)\/i)\/(6\/(-648)). What is the highest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 6040232?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404608.\nAnswer: 2, 17, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60777968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/(7 - (-1105)\/(-160)). Solve 0 = -10*b + j*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -13. Let b = 21 + v. Suppose 2*y - 3*y = 1. What is the third smallest value in 2\/5, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63990\/(-948)*(212\/(-36) - -5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from ybbbebebeybbpbe.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**3 - r**2 + 1. Let w be (-4 - -1) + -1 + 6. Suppose 3 = z - w. Suppose s = -4*s + z. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 - 29*t**2 - 3. Let v(r) = 5*r**3 - 15*r**2 - 2. Determine -3*p(d) + 5*v(d).\nAnswer: -2*d**3 + 12*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2\/3 - 2350*n\/3 + 41000 = 0.\nAnswer: 60, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-3)*190320\/24400.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*w + (1 - 1 - 4)*(-w + 3*w - 3*w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2523 - 1285 = 136*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*j - 528*j + 1096 = -629 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/((-221)\/(-663)*(-753)\/6)*-2.\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.2 - 32. Which is bigger: -17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*g - 27 = 0, -3*g - 16 = -1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 34 = 5*r, -5*i - 4*r = -i + 8. Let u(m) = -m + 4 - i - 1. Let w(y) = 2*y - 4*y + y. What is w(u(k))?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 5 + 8)*(-o + 1 - 1).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -624499, -1249180, -1873861, -2498542?\n\"Answer: -624681*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3ef2 (base 16) to base 7\nAnswer: 64660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139416 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*i**2*x**6 - 79*i**2*x**2 - i*x**2 + x**2 wrt x.\nAnswer: -20640*i**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585781 and 1407.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24910538 divided by -1.\nAnswer: -24910538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-2\/43)*(y\/(y\/((y**(4\/7)\/y)\/y)*y*y)*y)\/y*y*(y*y**4)\/y*y assuming y is positive.\nAnswer: y**(788\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7 - 2 + 10 + 44*o - 4*o as f + b*o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -100?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25312 * 43.6\nAnswer: 1103603.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k**2 + 0*k**3 - 6 + 3*k**3 + 3*k. Let j(m) = -m**3. Let y(r) = -i(r) - 4*j(r). Does 7 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.8. Let x(v) = -v**2 - 3*v - 3. Let p be x(-5). Let i be 48\/(-1326) + (-2)\/p. What is the biggest value in c, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -3*m**5\/5 - m**2\/2 + 6. Find the second derivative of j(u) wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57590 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let v(k) = 91*k + 4. Let o(z) = 4*c(z) - v(z). Let f(u) = -2*u**2. What is f(o(p))?\nAnswer: -18050*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 86*z - 8 = 93*z + 7, 3*g + 4*z + 1 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2607386, -2607388, -2607390, -2607392?\n\"Answer: -2*t - 2607384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)\/(c\/c**(-7))*(c**(1\/3))**(-42)*c**6*c\/c**(3\/4)*(c\/((c\/c**7)\/c))\/c**(1\/3) assuming c is positive.\nAnswer: c**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -122*o + 1639. Determine i(14).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 8*c - 1 + 16. What is the units digit of m(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/40)\/(4\/(-2390)). Let n = 90 + k. What is the biggest value in -3, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 715, -0.9, 4 in decreasing order.\nAnswer: 715, 4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2. Let z be b(-2). Let c be z\/11 - 124\/(-44). Find the second derivative of -8*y + 7*y + y**3 + y**c wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1951*x**3 - 1955*x**3 + 3891*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*j = -2*l + 1, -4*l - 34 = 3*j. Let y(m) = 2 + 8*m + 1 + 254*m**2 + 7. Let z be y(l). Round z to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 86\/(-4) - 2\/(-4). Let h = -5 - b. Solve -2*l + 4*s = 5 - 17, 4*l = -2*s - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1377153 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from ssssssslslsslsllsl.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 4*k. Let t(f) = -5*f**2 - 5*f. Let z(q) = -6*n(q) + 5*t(q). What is the least common multiple of 6 and z(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 454, 450, 446, 442?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1396*d**3 + 30*d**2 - 132*d. Let f(m) = -279*m**3 + 6*m**2 - 27*m. Let w(a) = 11*f(a) - 2*u(a). What is the third derivative of w(c) wrt c?\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, -4, 2434 in increasing order.\nAnswer: -4, 269, 2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f)**(-2\/3)\/((f*f*(f*f*f**(2\/3)*f*f*f*f)\/f)\/((f*f**(-15))\/f)) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 0 - 3*z - 3*z + 3*z + z**2 + 1. Let a(n) = -n. Determine 5*a(c) - q(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0)\/(-1) - (13 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 141, -473, -1267, -2241, -3395, -4729, -6243?\n\"Answer: -90*d**2 - 344*d + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -105 (b) 0 (c) 0.07 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itoqlloooooototitpqo. Give prob of sequence tio.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/40 + (-4)\/10. Suppose 0 = 10*r - 37*r. Is r <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f - 2. Let d(a) = 3*a**2 - a + 1. Let j be d(1). What is the closest to 2\/9 in -0.4, j, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -158 in -0.2, 2\/3, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-42))\/((-4)\/(3*-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/382976 and 77\/2176?\nAnswer: 382976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*y**3 - 20*g**2*y**2 - g**2 + 3*g*y**3 + 7*g*y + y wrt y?\nAnswer: -24*g**2*y - 40*g**2 + 18*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 10110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24322\/7 + 316214\/91. What is the second biggest value in f, -0.4, -1, 3, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(162)\/sqrt(9) + (-5*(sqrt(2) + (sqrt(2) - (-1 + sqrt(2)))) - (4 + sqrt(2) + 1)**2).\nAnswer: -32 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 104.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = -31*i - 240 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -29*n - 62. Give p(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1380735876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 9219\/558) + 2. Let t = m + 2\/93. What is the common denominator of 14\/(-24) - (-6)\/2 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omom when four letters picked without replacement from oooomoooommooomm.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f + 2*d, -20 = -3*f + 3*d + 7. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**8\/168 - 2*j**7\/105 + j**6\/15 + j**5\/15 - j**4\/4 + 33*j**2. Let n(t) = 0. Calculate t.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 - 5*p + p + 6 + 0*p + p**3. Suppose 0 = g - 5*q - 9, 5*g = 6*g + 5*q + 1. Suppose 0 = -h - 3, -4*h + 2 = 2*c + g. What is d(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 plus -0.8?\nAnswer: 60.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*g**2 + 6326*g - 1098894 with respect to g.\nAnswer: 92*g + 6326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.63876 + -0.2.\nAnswer: 112.43876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18)*45\/10. Let j be d\/3 - (-69)\/(-345). Factor 2\/5 + j*r**3 + 14\/15*r + 2\/3*r**2.\nAnswer: 2*(r + 1)**2*(r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 10\/(57\/(-18) + 4). Let w be g\/(-152) + 33\/133. Which is the nearest to -2? (a) -3 (b) w (c) 4\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 1:21 PM?\nAnswer: 343","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 5)*(14 - 13). Let q = 13.6 + -12.6. Put -0.13, q, h, -0.05 in ascending order.\nAnswer: -0.13, -0.05, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)*14\/(-2). Let p(r) be the first derivative of -r**2 - 10*r - 3. What is the units digit of p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 6) to base 2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 3*n - 5*n + (3*n + 0*n - 5*n)*(0 + 0 + 2)*(2 + 1 + 0).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4. Let m be g(2). Let h = 3 - -5. Calculate the greatest common divisor of h and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105390 (base 10) to base 2\nAnswer: -11001101110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whwh when four letters picked without replacement from wwbjihh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3 + 113*v**3 - 210*v + 33*v**3 + 13 - 148*v**3.\nAnswer: -2*v**3 - 210*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q - 216. Let t(p) = -7*p + 215. Give 2*d(u) + 3*t(u).\nAnswer: 3*u + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -857.9492 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*s + 3*x, 2*s + 217 = 3*x + 205 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1086 + 1152. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:20 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2204458 to 3 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/13 + (-17)\/(85\/(-10)). Let c = -2 + 4. Let w be (c - 24\/10)*5. Sort t, -2\/3, w in ascending order.\nAnswer: w, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.09 in 12, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*q - 3*s, -5*q - 36*s = -32*s - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.28933 nanometers to centimeters.\nAnswer: 0.000009728933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1019, 4647, 10729, 19295, 30375, 43999?\n\"Answer: 5*c**3 + 1197*c**2 + 2*c - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-18) - 13051160\/(-87) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j - 3*q, -2*q + 0 - 10 = 0. Let s = -57275 + 57314. Solve j = 34*h - s*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16706 + -0.03294. What is the smallest value in 4, d, 0.07, -2, -353?\nAnswer: -353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 3*k**2 + 2. Let f be d(3). Find the third derivative of 5 - 2 + h**6 + 3*h**f - 3 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 + 4. Let b be c(7). Let t(z) = 17*z**2 - z. Let a be t(1). Solve -3*y = -9*l + 4*l - 12, -a = -b*y + 4*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -52255.6.\nAnswer: -52255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 - 7*z**4\/12 + z**3\/6 + 5*z**2\/2 + 11*z. Calculate d(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((7\/42)\/((-2)\/(-12)) - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 34*p + 274. Let m be n(-21). Let i be (-2)\/7 - (-3485)\/12565. Is i smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and 1340895 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4075 - 4072. What is the third biggest value in t, 0.2, 217?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182471451 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 19*q**4\/24 - 151*q**3\/6 + 4313*q**2. What is u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964774.\nAnswer: 2, 3, 494129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 605 - 605. Let -1\/6*d**3 + 1\/6*d**2 + l*d + 0 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 26?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, 2, 5, -31.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -77, -0.1 in decreasing order.\nAnswer: 2, -0.1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 120\/(-25))*2\/(-6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 19*l**3 - 5*l**2 - l + 39*l**3. Let y be q(4). Is (1\/(8\/12))\/(6\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-174)\/116*(1 - (-55)\/(-45)). Let r(n) be the third derivative of 1\/10*n**5 - 26*n**2 + n**3 - y*n**4 + 0 + 0*n + 1\/120*n**6. Determine r(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, and 1 t when three letters picked without replacement from {g: 1, t: 1, w: 1, b: 1, q: 2, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 3, k: 3, w: 1, c: 1, v: 1}. What is prob of picking 2 q and 1 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-10) - (-8)\/20. Suppose -83 = -3*s - 2*i + 20, 2*s + a*i - 67 = 0. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -76. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-45)\/6)\/((-2)\/(-4)). Let x = c - -31. Solve 0 = -3*d - 0*g + 4*g + x, -5 = 5*d + 3*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 15. Let z(m) = -5*m + 15. Give 3*u(q) - 2*z(q).\nAnswer: -2*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 92*s + 34. What are the prime factors of j(26)?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-598)\/(-22) + (-22)\/121. Let r(n) = -n**2 + 8*n - 7. Calculate the smallest common multiple of r(6) and (-3)\/d - (-300)\/27.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 6, -0.1, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5983877*j**2 + 9986285*j.\nAnswer: 11967754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -53.\nAnswer: 8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 38*b**2 - 200*b + 1106. Give l(-30).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58, -75, -120, -205, -342, -543, -820, -1185?\n\"Answer: -2*w**3 - 2*w**2 + 3*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/168*(-2)\/2*119*-1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 281\/38, -4\/3, -4 in decreasing order.\nAnswer: 281\/38, -2\/7, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, 2\/3, 23, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/((-8 - -14)\/(-3)). Solve 0 = -z*n - 7 - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99879 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 170072573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.476 + -1.511. What is the smallest value in b, -6, 5\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 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: What are the prime factors of 61293159?\nAnswer: 3, 2270117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(9)\/sqrt(75) + sqrt(363) + 0 - ((sqrt(147)*1 + -3)**2 + (sqrt(147) + -1*sqrt(147) + -2)**2)) + -4.\nAnswer: -164 + 271*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/12 + q**3\/3 - 4*q**2. What is m(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Suppose 0 = 2*f + 2, -i*f - 11 - 1 = 4*t. What is the units digit of (-6 + 0)*(t - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Suppose o*z - 6 = 40. Suppose -5*x = -s - 4 + z, 0 = -2*s - 4*x + 52. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88*i + 908 - 908)*(-5*i + 4*i - i) to j + s*i + h*i**2 and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 3*z**2 - 2*z + 43. Let v(j) = 10*j**3 - 16*j**2 + 11*j - 215. Give -11*f(u) - 2*v(u).\nAnswer: 2*u**3 - u**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 + 4916*j\/7 + 3082008\/7.\nAnswer: -4*(j - 1686)*(j + 457)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x. Let w be (7\/3 - 2)*15. Let i = w + -3. Let q(c) = -2*c**2 - 22 + 22 + c**i. What is r(q(u))?\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsqee. Give prob of sequence qsr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172\/7 + -24. Let p = -0.47 - -0.47. Let n = -2.92 + -0.08. Which is the third biggest value? (a) p (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + 385 + 304 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + -10. Let c be (-14)\/77 - 4\/n. Let s = -0.9 - -1. Put s, c, -0.2 in decreasing order.\nAnswer: s, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 3, 1819, -40, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b + 4. Let n be t(5). Suppose -2*d - 600 = -7*d. What is the highest common factor of d and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 1 + 1)*(0*m**2 - m**2 - 3*m**2) + 2*m**4 + 2*m**4 - 2*m**4.\nAnswer: -26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 33. Let l be -2 - 1\/((-18)\/g). Let t(b) = b**3 + b**2 - b - 1. Let y be t(-2). What is the closest to 0 in l, -4, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 43*d - 10. Determine f(45).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4080.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*i = -4, 5*n + 1057*i - 1053*i = -56 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -73, -229, -531, -1027, -1765, -2793, -4159?\n\"Answer: -8*q**3 - q**2 + q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -516\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 290184*y\/5 - 290194.\nAnswer: 2*(y - 5)*(y + 145097)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(4\/1)\/2. Determine m, given that 1\/3 - 1\/3*m**a + 0*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 greater than or equal to 126136\/299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4115308 and 0.6.\nAnswer: 4115308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2650 or -2760?\nAnswer: -2650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2937 + 2959 = -m - j, j = 6*m - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121471 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44 + 16.25.\nAnswer: 16.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122035843, -122035842, -122035841, -122035840, -122035839, -122035838?\nAnswer: -122035837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120195507?\nAnswer: 3, 11, 13, 491, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11389983*l**5 + 2*l**2 - 60755947*l wrt l?\nAnswer: -227799660*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 100\/3*u**3 + 0*u + 266 - 18*u**4 - 1\/2*u**2. What is the third derivative of y(w) wrt w?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82221.27 centimeters to nanometers.\nAnswer: 822212700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 421 + -49\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n + 3. Let j(p) be the second derivative of -p**5\/10 - p**4\/3 - 2*p**3\/3 - p**2 - 2*p. Let f be j(-2). List the prime factors of s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201884, -404139, -606396, -808655, -1010916?\nAnswer: -1213179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 18\/1225, 1\/3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -3577 (c) 1\/5 (d) 2\/659 (e) 5 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475327925 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -11*q**5\/4 + q**4\/4 + q**3\/3 - 8*q - 10. What is the remainder when 277 is divided by k(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14302897.86 to the nearest one hundred thousand.\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (41 + -47)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537968450 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.42 + -0.42. What is the closest to s in -1\/8, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 1. Let n be b(-1). Solve -5*r - n + 3 = -2*d, 0 = -2*r - d - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 14. Let c be x(9). Solve -c - 5 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3666? (a) 40 (b) -2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + 256\/(-40) + ((-185710)\/25)\/(-1).\nAnswer: 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59147, 118258, 177369?\nAnswer: 236480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 212975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let z = 1040 + -1041. Let f(p) be the first derivative of 3*p**2 - 7*p + 4. Calculate z*f(n) - 4*a(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*h, 3*h - 283 + 142 = 2*a - 141 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*91\/(4732\/936).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 33\/(-6))*-56. Let p = -257 + 373. Suppose -u + p = -z + 6*z, 5*u = -z + q. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3167, -0.1 in descending order.\nAnswer: 3167, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h - 56. Let t be p(-16). Let f = -177 - t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49464 - 49458. What is the lowest common multiple of -1*(-7)\/(-2)*-4 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*-4 + 0. Let i be 12*(j\/3)\/6. Suppose -4*u + i*d = -872, -d - 1 + 0 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12004 + -11992. Solve 4*h + c*k = 13*k + 7, 0 = -4*k + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -m - 7*u + 2*u, 43 = m - 2*u. Calculate the remainder when 152 is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18158622 + 662870?\nAnswer: -17495752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5597, -11162, -16713, -22250, -27773, -33282?\nAnswer: -38777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 4, 1.15 in decreasing order.\nAnswer: 4, 1.15, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 21. Let b(c) = -2*c - 2. Let x be b(-4). Suppose m + 3*r = 2*r + x, -m - n = -3*r. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 4*y = -873. Suppose 697 - y = 4*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111375?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1995 and 9050?\nAnswer: 3610950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57510239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 - -10 - (9 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 2*m = -42*m + 1432398. List the prime factors of m.\nAnswer: 2, 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 965359122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4558, 4563, 4568, 4573, 4578?\nAnswer: 4583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 5. Let w(d) = -5*d + 10. Let k(a) = -2*o(a) + w(a). Let v(r) = -9*r. What is v(k(u))?\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let y(f) = -4*f**2. Let b(k) = -k**2. Let c(l) = -2*b(l) - y(l). Determine c(u(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g - 9. Suppose d - h = -2*d - 18, -3*h - 18 = 3*d. Let j be i(d). Solve -5*u = 14 - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + a = -3*a - 25, 55 = 5*l + 2*a. Let r(x) = -x**2 - 9*x + 13. Let y(m) = -2*m + 3. Let q be 7*-4*2\/28. Give l*y(z) + q*r(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0265386s to nanoseconds.\nAnswer: 26538600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9051 - 4293. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - 22 - 30) + -6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 5*h - 323 = -3*z - 23. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f - 40. Let r(l) = 2*l**3 + l - 1 + 0*l - l**3 - f*l**2. List the prime factors of r(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 + 4*k**2 + 3*k + 4. Let z(o) = 17*o**3 + 13*o**2 + 10*o + 14. Let i(g) = -7*a(g) + 2*z(g). Calculate i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(840\/36))\/(2\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166089559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(450)*1)\/(-1*sqrt(640)))\/((-2*sqrt(27)\/sqrt(3) - sqrt(9)) + sqrt(441)*2).\nAnswer: -1 - 5*sqrt(5)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by 18?\nAnswer: 71\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k + 7. Let f(n) = -11*n + 20. Let p(g) = -3*f(g) + 8*q(g). Let x be p(4). Let d be -4 - -12*((-52)\/(-12) + -4). Is d >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:29 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) -1\/10 (b) 15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2432 + 2435. What is the third smallest value in -2\/3, c, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 745.18011 to 1 dp.\nAnswer: 745.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - -14 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84888, -169771, -254652, -339531, -424408, -509283?\n\"Answer: v**2 - 84886*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 16, -0.2, -2, -4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3728.4.\nAnswer: 18642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:11 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + (4708\/(-12))\/(-11). Let d = x - 32. Solve 2*c + d = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(54 + 171 + 180)*(-3 + 1 + 3)*(-3 + 3 + 1).\nAnswer: -405*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 629 and 343236\/545 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0. Let p = l + 3.1. Let d = 0 - p. Which is the closest to -1? (a) -4 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 36 + 16 - (15 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 462 + -288. Let s = j + -45. Let b = 128.947 - s. What is b rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*t - 5 - 1 = 0, -5*t = -10. Let y(c) = 3*c**2 - 5*c - 5. Let q(k) = k + 1. Calculate w*q(p) + y(p).\nAnswer: 3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616*t = 612*t + 84. Solve o = -5*x + t, -166*x = -3*o - 171*x + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2\/2 + 9*m + 81\/2 = 0. Calculate m.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -100. Let g = 0.2 - 0.5. Which is the nearest to -1? (a) 5 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**5\/120 - n**4\/48 - n**3\/6 + 4*n**2 + 9. Let h(v) be the second derivative of t(v). Solve h(l) = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - (-20)\/(-3). Suppose -585*b = -589*b + 448. Let f(j) = -6 - b*j**2 + 55*j**2 - 5*j - j**3 + 51*j**2. Give f(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -17.64229?\nAnswer: 0.7056916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 158 + (-151 + 160 - (0 - -13)) + (-7 - -9)\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -3 (c) -3633664\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhh when three letters picked without replacement from xlxxxxxxxxhxhx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 8*x + 12. Let n be o(-4). What is the greatest common factor of n and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17088747*p*r**4 + 148012*p*r + 2*p - 21*r wrt r?\nAnswer: -205064964*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 356520 and 264597260.\nAnswer: 1587583560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2*q**2 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2174 = 276. Let k be ((-725)\/l - -3)*(-4 + 11). Is 22\/3 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1804, -3356, -4908, -6460?\nAnswer: -8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -47*z**2\/2 - 13*z - 1. Is j(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -319*h. Let g(x) = -76838*x. Determine g(o(r)).\nAnswer: 24511322*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + -6*2*sqrt(243) + (sqrt(243) - (-1*2*sqrt(243) + sqrt(243))))*1 + -4)**2.\nAnswer: 2340*sqrt(3) + 24469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(99) - sqrt(99)) - 5*sqrt(88)\/(sqrt(200) + sqrt(8)))**2.\nAnswer: 18491\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*c**3 - 3100*c**3 - 38*c**3.\nAnswer: -3454*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-2))\/1*-13*58\/(-1131)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4000 + 0?\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c - 10 = -34*c. Does 14 divide (1 - 6)*(-70)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 121. Suppose 39 = 4*g + i, g - s*g = -2*i - 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 18*v**3 - 57*v**2 - 72*v.\nAnswer: 3*v*(v - 3)*(v + 1)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473 - 1077 + 5068 + 1199 + 8350)*(-3*v + v + 3*v).\nAnswer: 13067*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 303, 605, 907, 1209?\n\"Answer: 302*q - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2431 = 989. Let v be c\/(-90) + (-3)\/5. What is the greatest common divisor of 49 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88161 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16261 (base 7) to base 14.\nAnswer: -1968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 - 5*p**3\/6 + 2*p**2. What is the smallest common multiple of 2 and f(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:14 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/5)*t*t*(t\/(t*t\/t**(-1)*t))\/t)\/(t*t**1\/t*t\/t**(-1)) assuming t is positive.\nAnswer: t**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1088)*2 - sqrt(1088) - (1 + (sqrt(1088) - 2*sqrt(1088)))) + 5 + -2.\nAnswer: -48*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.855 and -36964130744.\nAnswer: -36964130743.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from lvvlvvvvvlllll.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/7)\/((-6)\/(-28)). Let x(t) be the first derivative of -2\/3*t**3 + 0*t**i + 0*t**2 + 1 + 0*t - 2\/5*t**5. Find the third derivative of x(w) wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 195, 392, 589, 786, 983?\n\"Answer: 197*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(21)\/sqrt(3))**2*-4.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k + 5. Let g be l(6). Suppose q + 2*h = g, -h = -2*q + h + 28. What is the highest common factor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 47, -5, -4, -18 in descending order.\nAnswer: 47, 3, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -124*b + 61*b + 57*b. Let v(y) = -y - 1. Let x(s) = -2. Let w(k) = 2*v(k) - x(k). Determine i(w(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/132)\/5*3355\/183.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/4 - 5. What is the closest to i in 5, -1\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*s - s = 12, -2*s + 9 = h. Suppose 105 = h*j - 273. What is the remainder when j is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 4*s - 3*s)*((6 - 3 - 4)*(-3 + 14 - 1) + (2 - 3 + 3)*(0 + 1 - 2)) in the form x*s + a and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 122 = t, 0 = 4*t - 2*l - l - 573. What is the remainder when t is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/35 and 67\/758913450?\nAnswer: 5312394150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 7*q + 399. Let b = -39 - q. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 9*z. Let v(r) = -r**2 - 6*r + 2. Let c be v(-6). Suppose -d + m + 0*m = c, z = 4*d + 4*m - 32. Solve d*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 0.11709.\nAnswer: -8.88291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262325.\nAnswer: 5, 13, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9567 + 23*a**2 - 9536 + 19135.\nAnswer: 23*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) -0.004 (c) -5 (d) -0.5 (e) -1 (f) -37 (g) -1093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:14 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46923 is divided by 2707?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 69*d**2 - 197*d - 73. Determine x(66).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -927, -3149, -7477, -14613, -25259, -40117, -59889?\nAnswer: -85277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 10*p - 18. Suppose -55*y + 801 = 1186. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 753 - 753 + 32*a + 87*a to the form y + l*a and give l.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 91*j**2 + 3. Let w(g) = -g. Calculate y(w(t)).\nAnswer: 91*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:47 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + (27825\/28 - 7). Let d = y - 981. Solve 0 = 3*z + 3*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 19 = 26*q + 26*q + 5*y, -3*y + 277 = -126*q - 20*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from tthttttht.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 240979471 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*g**3\/5 - 124985*g**2 + 17279168*g\/5 + 6365968\/5 = 0. Calculate g.\nAnswer: -56839, -4\/11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let w be q(8). Suppose -2*b + w + 2 = 0. Suppose 5*x - 4*j - 65 = -b*j, -3*x + j + 19 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/16 and 9\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8 - 8 + 16 + 11*p. Let o(n) = n**2. What is o(y(i))?\nAnswer: 121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -135.5. Let n be (-3 + 2)\/(-3)*-69. Let f = n + 13. Which is the smallest value? (a) i (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*-1161\nAnswer: 19737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328408325 by 46915475.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 345628163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (0 - 1)) + -25 + 30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {e: 9, d: 2, y: 1, n: 1, o: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 7*s - 1040 + 1013 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 13*c + 155. Solve k + 6 = 1, -c = -2*n + 5*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60035 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 50*l - 93 = 93 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71450 is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 14*m**2 - 13*m - 21. Let v be p(15). Solve -5*z - 29 = -v, 24 = 4*u - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -3*p = -5*m - 6, p + 2*p + g*m = 6. Let c be (4 - (p + 2))*-1. Which is smaller: c or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 33358710.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1061, -1.9.\nAnswer: -1061, -1.9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = -5*c - 5*s, 2*s = 5*c + 46. Let z = 14 + c. What is the highest common divisor of z and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28489\/8 - 3551. Find the common denominator of 71\/9 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-78)*1578954\/(-2612)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*(s\/s**(8\/7))\/s))\/(s**7\/s*s) assuming s is positive.\nAnswer: s**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 168 + 459 = 0. Suppose 2*x + 3*i = -0*x + u, -2*i = -2*x + 184. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24885 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41318910 and 21?\nAnswer: 289232370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1389? (a) 1\/2 (b) 9 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 + 3*m + 2. Let r be -2 + 2 + -3 - -34. Let x = 28 - r. What is the units digit of f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5\/9 - 40*r**4\/9 - 160*r**3\/9 - 320*r**2\/9 - 320*r\/9 - 128\/9.\nAnswer: -4*(r + 2)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (472\/36 + 0)\/((-3730)\/(-16785))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208893101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 10 (b) -1\/3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 532981?\nAnswer: 22\/532981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27721173 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: What is the units digit of 11785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/10*k**6 - 1\/12*k**4 + 0*k**5 + 0*k**3 - 3*k + 0*k**2 + 0. Find the third derivative of x(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 2, o: 6, q: 3, g: 3}. Give prob of picking 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 30*b**2 - 630*b - 8884. What is o(-14)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127 divided by -2?\nAnswer: 1127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165267 is divided by 1413?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - s - 22. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(36) + sqrt(4)) + -2*sqrt(64))\/(-1*sqrt(128) - 6*(sqrt(4)\/sqrt(2) - sqrt(2))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395314643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497\/13 or -38?\nAnswer: -497\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -18. Let p(k) = k**2 + 2*k. Give p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24611.5 - 24610. Put u, -1\/149, -5, 0.4 in descending order.\nAnswer: u, 0.4, -1\/149, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10037 is divided by 2858?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 16*y**2 - 394*y - 1216. Calculate x(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - (4 - 1). Let h(t) = t**2 + 2. Calculate the remainder when 19 is divided by h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-two fifths of a decade?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 1083*m**3\/8 + 9941769*m**2\/8 + 1046430*m + 220296.\nAnswer: 3*(m + 9179)*(19*m + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 + 5 + (-76)\/(-5). Find the third derivative of -c*a**5 - 36*a**5 - 18*a**4 + 18*a**4 - 28*a**5 + 18*a**2 wrt a.\nAnswer: -5040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-8)*m*(m*m**(-7))\/m)\/(m**5\/(m**(-2\/9)\/m))*(m**(-5)\/m*m*m*m**4)**(9\/2) assuming m is positive.\nAnswer: m**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2079 and 42?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 53. Suppose 2*u + 2*g + z*g = 14, 4*u = -3*g + 23. Suppose u*o + i = -1555 + 5491, 3937 = 5*o + 2*i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4827710 - -11?\nAnswer: 4827721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 3*sqrt(637) + (sqrt(637) - (sqrt(637) + (5 + sqrt(637))*-1)) + -3)**2.\nAnswer: 280*sqrt(13) + 10216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*(sqrt(245) + 1) + 1)**2 - -4*(-5*-1*sqrt(245) - (sqrt(245)*-2 - sqrt(245))**2*4)) + -2.\nAnswer: -31346 + 364*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 54 = w. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u**2 + 2809 + 287*u**2 - 2810 - u to the form z*u + y*u**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137723948 divided by 4.\nAnswer: -34430987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2 - 104 + 124 + 864*d**3 + 80 wrt d.\nAnswer: 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*q - 5, 100*x - 99*x = -1. Let g(v) be the second derivative of 0 + 9*v + 4*v**2 + 1\/6*v**4 - 4\/3*v**q. Factor g(n).\nAnswer: 2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(810) + -1*sqrt(810) + sqrt(810) - sqrt(810)) + (-4*-2*sqrt(810) + sqrt(810) - sqrt(810)) + sqrt(810))\/(2*sqrt(500)*6*-3).\nAnswer: -9*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Suppose w = u - 9. Suppose 2*x = -0*x - u. Which is the second smallest value? (a) 0.6 (b) x (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 50 = -6*v + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3701601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(-1)*(-2145)\/(-286)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*t + 5*q, -76 = -2*t - 3*t - q. List the prime factors of 1687\/56 - -2 - 2\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12825501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 11*u + 4. Let c be r(5). Let z = c - 102. Suppose -2*x = 4*f - 14, 3*x = f + f - 11. Solve 5 = -f*n - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -22 + 40 - (-11 + -18)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 2\/9, 3.6, 44?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2444 and 5452.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(-6*(sqrt(20) + -1)*-5 - (-5 + sqrt(500) + 0)))**2.\nAnswer: -22500*sqrt(5) + 118129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 66321.55km?\nAnswer: 66321550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 114?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2808 = 378*x - 414*x. Calculate the remainder when 482 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 6*z - 7. Let t be -4*-3*(-5 - (-63)\/14). Calculate q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 305? (a) 6 (b) -1 (c) -318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - 200\/(-72). Suppose -u*t = t - 16. Calculate the greatest common factor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1337 and 3056?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*r**4 - 1217?\nAnswer: 308*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -18. Suppose 4*a - 15 = a - 5*s, 2*a - p = -5*s. Solve 5*h - 3*q - 14 = a, 4*h - 4*q = 5*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*x**3 - 2617293*x**2 - 2278158*x + 339297 = 0.\nAnswer: -1, 7\/54, 16157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 1983*y - 27*y**3 - 9*y**2 + 1983*y.\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17718697*v**3 + 19594488 wrt v?\nAnswer: -53156091*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + -2) + 4. Suppose -l - 5 = j*f, -48 = -5*l + 4*f - 15. Solve -l = -5*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110101110 + 1001011001?\nAnswer: 1111000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + -6*(1*(-2*sqrt(832) - sqrt(832)) - sqrt(832) - ((sqrt(832) + -1 - sqrt(832) - sqrt(832)) + 1)) + 2)**2.\nAnswer: 1440*sqrt(13) + 269598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/72)\/((-1)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46500.14 rounded to the nearest ten?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p**3 + 10*p**3 + 3*p**3 + p**3.\nAnswer: 51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -11) + (19 + 1 - (47 + -65))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(245) + -3 - sqrt(245)) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*a - 78 - 42 - 228 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/114*-3*-4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-315)*-1*(-401)\/2807?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1507 + -4f8?\nAnswer: 100f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1378+-224283400\nAnswer: -224284778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2251 - 2251 - 24672*z**3.\nAnswer: -24672*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -7*x - 960. Let t be 320\/x*(-1 - -4). Let p(j) = j**3 + 7*j**2 - 8*j + 4. Calculate p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6326623, -6326621, -6326619, -6326617, -6326615, -6326613?\n\"Answer: 2*b - 6326625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 21)\/7 + -3. Let c(w) = 13*w. Let t(n) = -7*n. Let b(p) = 6*c(p) + 11*t(p). Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*d + 238*d + 4 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 2 + sqrt(108))**2 + (sqrt(243) + sqrt(243) + 2)**2 + sqrt(243).\nAnswer: 129*sqrt(3) + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4289*r - 4282*r + 12854*r - 4286*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 - 17*y + 17. Let i(o) = -o**2 - 3*o + 3. Let d(f) = 6*h(f) - 34*i(f). Let s(u) be the first derivative of -2*u**3\/3 - 5. Determine s(d(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**3 - 5*g - 4*g**3 + 13*g**3 - 2*g**4 + 2*g as z*g**4 + r + u*g + v*g**2 + y*g**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49104 and 128.\nAnswer: 392832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63181 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 9*y**2 + 7*y + 30. Give k(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqz when three letters picked without replacement from {h: 2, x: 2, z: 3, w: 1, q: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -36. Suppose 23*t = k*t + 1524. Let o = t + 272. Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/(d**(-6)*d*d))\/((d\/(d\/d**(3\/5)*d)*d)\/d)*((d**(-2\/5)\/d)\/d)\/(d\/d**2) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 3*g - 17 - g + g in the form u*g + z and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.218266mg in nanograms?\nAnswer: 3218266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2113)\/50712 + (12418\/(-48))\/7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/(-304))\/(0 + (-1)\/(-12)). Sort l, 29, -4 in descending order.\nAnswer: 29, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*t + 1217*t - 21 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 48 = 6*u. Let v = 4 - u. Let j = v - 16. Solve 0*r - 2*r - j*l + 12 = 0, 2*r - 3 = 5*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/5)\/b))**(-4\/7)\/((b**5*b)\/(b\/((b*b*b**(-4\/3))\/b))) assuming b is positive.\nAnswer: b**(-586\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)*o*o)\/(o\/o**8)*(o**(-2\/19)*o)**(2\/81) assuming o is positive.\nAnswer: o**(14227\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (5 + sqrt(605) - sqrt(605)) + sqrt(605) + 3) + -3*(-5 + sqrt(605)) + (sqrt(605) - (-4 + -3 + sqrt(605))) + sqrt(605))**2.\nAnswer: 3432*sqrt(5) + 8149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280776290?\nAnswer: 2, 5, 61, 460289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, h: 4, w: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1)\/(-12) - 0\/(-1). Let h = -0.88 - -3.02. Let x = h - 0.14. What is the second smallest value in w, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49054 divided by -2\nAnswer: -24527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 2*v + 0 + 2*v + 7 - 3*v**2. What is b(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 4*i**2 - 3*i**2 - 26*i.\nAnswer: -10*i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t + 27 - 141 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**8\/3360 + j**7\/240 + 28*j**3 - 89. Let m(k) be the third derivative of f(k). Factor m(x).\nAnswer: -x**3*(x - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 820 = 3*d, -4*d + 3*d + 5*c + 300 = 0. Let l(n) = 3*n**2 - 274*n - 2 + d*n - 2*n**2. Determine l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337218\/12691 - (27 + 0) - 300\/35\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-68)\/(-17) + 2 + -2 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15e (base 15) to base 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11029, -56 in decreasing order.\nAnswer: 11029, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 40 = 2*p. Let a = -55 + 59. Suppose -a*r = r - p. Solve -4*l = 5*z - 16, 0 = -3*z + 8*z + 2*l - r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/68841 and 23\/81?\nAnswer: 619569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let b(n) = -5*n**g - 1 + 1 + 6*n**2. Let c(r) be the first derivative of -3*r**2\/2 - 1. Determine b(c(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 328 = -3*g + 3*a, 308 = -4*g + 2*a. Round g to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-8)\/2022)*(-636)\/477. Let p = -606 + d. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**2 + 2*f + 67. Let y(n) = -23*n**2 + 5*n + 168. Calculate 12*s(z) - 5*y(z).\nAnswer: -5*z**2 - z - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/387075 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -153426a27?\nAnswer: 153426a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -9. Suppose 0 = q*i - 3*i + 5*f - 57, 5*i - 82 = -4*f. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399*q + 20*q**2 + 562 - 17*q**2 + 806*q - 404*q to k*q**2 + t + n*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 8, 2*m + 547 = -3*o + 1100 - 573 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 120 = -q. Suppose -m = -3*c + q, 3*c + 4*m - 3*m = 30. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 139. Which is the nearest to 0.1? (a) -0.1 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 9 + 114)*109\/33. Let v = 416 - y. What is the nearest to -9 in 4, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t*v**3*y**2 + 49*t*y**3 + 2*t*y**2 - 10*v**3*y**3 - 681*v**3 - y**3 wrt y?\nAnswer: 294*t - 60*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(2\/69))\/b)\/(b*b**(-2\/21)\/b))\/(b**(-3)*b*b**(2\/17)) assuming b is positive.\nAnswer: b**(8229\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:14 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34296 and 28?\nAnswer: 240072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 2*p**4 + 1425*p**3 + 641*p + 2?\nAnswer: 20*p**3 - 24*p**2 + 8550*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 + 419. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 40 = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 20*y + 20. What is k(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-90)*-3)\/((-4)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11987767183+-1008\nAnswer: 11987766175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 3*y. Suppose 0*d + 2\/3*d**5 + y*d**2 + 0 - 2\/3*d**3 + 0*d**4 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, -5, 2 in decreasing order.\nAnswer: 2, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -33*l + 4. Let h be g(5). Let i = -46 - -48. Let a be -1 + (-2 - h) + i. What is a rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 45. Solve -s - 13 = 4*y + 8, -o*y + 5*s = -9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 8*s + 5. Let z(r) = r**2 - 2*r + 1. Let x = -171 + 168. Let j(f) = f**3 + 2*f**2 + f + 10. Let b be j(x). What is b*m(h) + 9*z(h)?\nAnswer: 3*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:30 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 15) to base 4.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 84*d**2 + 33*d - 539. Let h be v(84). What is the highest common factor of h and 812?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 336 = -10*q - 24*q. Let k(m) be the third derivative of -q*m**2 + 1\/6*m**4 + 0*m**3 + 0*m + 0. Let d(x) = -x. Calculate k(d(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 1. Let d be 2*(1 + 3\/(-2)). Let x be s(d). Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -45*u**2 - 390*u + 1160. What is j(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4367 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.1. Let c = t - -0.02. Let z = c + 0.32. What is z rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + 5. Which is the third smallest value? (a) u (b) 8 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6708, 6698, 6686, 6672, 6656, 6638, 6618?\nAnswer: 6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*v = -662*v - 1528*v - 1388*v - 340571 for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x - 102 = 41 - 47 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279.118 + -0.482. Let y = 242 + v. Let d = y + 38. What is the nearest to d in -5, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13746852\/945 + 7\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from mmretmmnneme.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/27*-4*153\/204.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -10*z + y, -854378*z + 4*y = -854377*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:32 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(25))\/sqrt(5))**2*-6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/49 and -43\/245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 260 + -10 + (-40)\/2*-1. What is the greatest common factor of c and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5179.3 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*l + 123*l + 645. Let m be (2\/l)\/(18\/27). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/3)\/((-20)\/(-840)). Let o = -96 - h. Is 56\/(o + 5\/(-3)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217118 and 148313?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -2\/9, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -27, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/(-2242)*76)\/(2 + (-48)\/23).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -40113?\nAnswer: 40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22827 - 56?\nAnswer: -22884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6792 and 202911.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqy when three letters picked without replacement from ymyyqyyyvvq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21203 - 1201?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**4))\/(h**(-7)*h)*((h*(h**(2\/7)*h*h)\/h)\/h)**(-6) assuming h is positive.\nAnswer: h**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*98\/(-35). Suppose 4*z + 1221 = j*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2*r. Suppose 5*y + 42 = 4*h, 3*y - y = 3*h - 35. Let m = 10 - h. Let v be (m\/12)\/(2\/(-24)). What is a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 8, j: 5, z: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52273, -209020, -470237, -835924?\nAnswer: -1306081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 1, v: 4, a: 1}. What is prob of picking 3 v and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2)\/(6\/(-9)). Let b = 1 + 2. Suppose -f*m - b*u - 1789 = -5884, -u = -m + 1357. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1373029ml to litres.\nAnswer: 0.0001373029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 23. Is c equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*v + 3*v - 5277, -10579 = -4*o + v. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148496 is divided by 37114?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10550723 + 5237585. Is (-12)\/9*m\/184 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332760560 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -4*b + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {m: 3, b: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**8\/840 + v**7\/420 + v**6\/60 - v**5\/60 - v**4\/6 - 2*v**3\/3 - 4*v. Let t(p) be the second derivative of o(p). Factor t(j).\nAnswer: -2*(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**6\/6 - 130*z**3\/3 + 385*z**2\/2 - 2416. What is the second derivative of l(f) wrt f?\nAnswer: 20*f**3 - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -31*x**3 + 230*x**2 - 14163*x + 27354. Let r(z) = -5*z**3 - z**2 - z - 4. Let f(o) = j(o) - 6*r(o). Find s, given that f(s) = 0.\nAnswer: 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 597 and 3?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 2, d: 1, m: 2}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-426)\/48 - -10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -7b7?\nAnswer: 78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275997110?\nAnswer: 2, 5, 27599711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354846 is divided by 173.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10474108 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*b = -3*c + 30, -c + 3 = -4*b. Let n(q) = 5*q - 21. Calculate the remainder when 53 is divided by n(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1 + 1 + 0*l - 2 + l. Let z be ((-30)\/9)\/((-6)\/9). Let m(j) = j - 2. Determine z*m(a) - 6*w(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/7 - 34082*o\/7 - 290395681\/7.\nAnswer: -(o + 17041)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909526*n**3 + 0*n - 1909521*n**3 + 3819058*n**3 + 0*n.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*x + 461*x + 469*x - 2.\nAnswer: 35*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15068 = 12*x + 15080 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503718?\nAnswer: 2, 3, 37, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 a factor of 90472045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -3 (c) 0.5 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 12:17 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**3 - 7*k + 7. Let c = 2366 - 2373. Let m(z) be the first derivative of -3*z**4\/4 - 2*z**2 + 4*z + 1. Calculate c*m(y) + 4*i(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**2*o**3 - 45*h**2*o + 13*h*o**3 + 91*h*o**2 wrt h?\nAnswer: 20*o**3 - 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5))**10*t**5\/(t*t**(-2)*t) assuming t is positive.\nAnswer: t**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tftt when four letters picked without replacement from {z: 1, f: 4, t: 3, h: 2, j: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 91*z + 6. Let l(t) = 76*t + 5. Let c(n) = -6*l(n) + 5*m(n). Let b(o) = -42*o**2 - 3. Determine b(c(g)).\nAnswer: -42*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 823*i**3 - 14*i**2 - 76*i + 156. Let q(r) = 274*r**3 - 4*r**2 - 25*r + 50. Let z(w) = 8*q(w) - 3*v(w). Find the second derivative of z(k) wrt k.\nAnswer: -1662*k + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 81796*b + 81798 = 0 for b.\nAnswer: -1, 40899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 7*h + 4. Let a be g(0). Put -6, -3, a, -13, -4 in descending order.\nAnswer: a, -3, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650655205 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/6)\/((-9)\/(-45)). Solve 6 - 15 = 3*f, p - 4*f - w = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:05 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 12.5?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 42, 88, 152, 234, 334?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -54. Solve -5*s - 13 = -p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1, -2, 3\/7, -101\/11, 2, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 5*b. Suppose w + 0*w = 2*z - 9, 5*w = 2*z - 13. Solve b*l - z*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, e: 1, m: 6}. Give prob of picking 1 c and 2 m.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118496*c**4 - 89365*c wrt c?\nAnswer: 1421952*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*y + 38, 4*p = -6*y + y + 48 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44258*k**4 + k**2 - 1719*k - 5 wrt k?\nAnswer: -1062192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let g = -63 + 69. Let h(z) = -g*z + 178 - 178. What is v(h(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -317, -334, -327, -284, -193, -42, 181?\n\"Answer: 2*t**3 - 31*t - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.120842 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqz when three letters picked without replacement from rzxxq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -184*c**2. Let s(d) = -2*d. Give b(s(x)).\nAnswer: -736*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) -1\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366 - 1836\/5. What is the closest to -0.1 in h, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 22*z - 2. Let k(s) = -s. Let l(p) = d(p) + 4*k(p). Let a(n) = -16*n + 26*n - 11*n. Determine l(a(j)).\nAnswer: -18*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - w**2\/2 + 4*w - 5. Give s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*n + 132*n**3 + 0*n + 18*n**6 - 140*n**3 - 3448*n**2 + 17377*n**2 wrt n?\nAnswer: 2160*n**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = -3*j, 0 = -3*j - 2 - 1. Let l(v) = v**3 - 7*v**2 + v - 5. Let i be l(7). Let u = i + g. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yldletn. What is prob of picking 1 y, 1 l, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y + 4*y. Let u = -6 - -32. Let v = 70 - u. What is the remainder when v is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 3726.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 52*h + 155. Give g(56).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 28*c**2 + 55*c - 35. Let g be n(26). Suppose 0 = -x + 2*u + g, -2*x - 5*u + 55 = -67. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuh when three letters picked without replacement from cvuhccccccvcvvuc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -5) + -16 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -105, -229, -401?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761827 by 4.\nAnswer: 761827\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0*u**3 + 10*u**2 - 351*u + u**3 - 14 + 370*u. Let b be g(-6). Calculate the greatest common divisor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - k - 1. Let m(d) = 20*d**3 + 4*d**2 - 3*d - 3. Determine -m(a) + 3*o(a).\nAnswer: -20*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**2 - 46*t - t**4 - t**3 + 46*t as y*t**3 + g*t**2 + h + b*t + f*t**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxbaannaax. Give prob of sequence nxbx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 1036*o + 17453. Give p(17).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -0.033 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -316841*y + 316837*y for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, w: 1, k: 1, m: 1}. What is prob of picking 2 p and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4378 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1541922453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 49 + 4)*(-k + 0*k - k)*(13*k - 675*k**4 - 9*k - 5*k).\nAnswer: -58050*k**5 - 86*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 562715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 7*g + 1. What is the tens digit of r(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599 minus 0.11?\nAnswer: -599.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/9 - 11*i**3\/9 + 4*i**2 - 4*i = 0. Calculate i.\nAnswer: 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 16}. Give prob of sequence iv.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -78014 divided by -19\nAnswer: 4106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 9) to base 7\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 - -19.2. Is l equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4\/10)\/((7 + 14)\/(-210))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:35 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72)\/sqrt(27))\/sqrt(12) - (sqrt(2) + -3*sqrt(2) + 4 - sqrt(2))*-6) + 3)*-2)**2.\nAnswer: -3816*sqrt(2) + 48716\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and -1036.096.\nAnswer: -1003.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12 - 48. Suppose -v*h + 7*h = -635. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - 2) + 9 + (-2 - (6 + 10)) + 7.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)\/3*0. Suppose 3*o - o - 20 = d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 134*u + 135*u - 14, 3*u = 2*c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 61?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -111, 5, -3, 0.1.\nAnswer: -111, -3, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from bbbbybbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 397353 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724677?\nAnswer: 3, 11, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 89. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353191 and 4408.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 equal to 3643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/120 - f**5\/15 + f**4\/24 + f**3\/2 + 4*f**2. Let k be b(-4). Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458105?\nAnswer: 5, 91621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6186, -11013, -14492, -16629, -17430?\nAnswer: -16901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 61. Let l = -21 - n. Is 191\/l + -5*(-4)\/40 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/((sqrt(3) - -5*sqrt(12)\/sqrt(4)) + sqrt(3)))\/(-2*-5*sqrt(12)\/sqrt(3)))**2.\nAnswer: 3\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:24 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 8) to base 6\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 u when three letters picked without replacement from iqmlqutqimtuqliqq.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 431151 and 113968?\nAnswer: 117273072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3152*t**2 + 494*t - 1495. What is the thousands digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 23*f**2 + 36*f - 301. What is x(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 3 - 3)*(0*h - 2*h + 0*h) + 2*h**2 + 4*h**2 - 2*h**2 - 1 - 2*h**2 + 1 + (2*h - h + h)*(h - h - 2*h) in the form v + o*h**2 + l*h and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 - 1\/36*o**4 + 1\/6*o**2 + 0*o**3 + 3*o. What is b in r(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Let v(n) be the second derivative of n**6\/45 + n**3 + 2*n. Let f(o) be the second derivative of v(o). What is f(j(w))?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 266308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 1. Let a(i) be the second derivative of i**3\/6 - i**2\/2 - 3*i - 10. Let o(s) = -15*s + 15. Let h(c) = -5*a(c) - o(c). What is -2*h(g) + 18*w(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5))**35\/(z**(4\/11)\/z*(z\/(z**(-5)\/z))\/z) assuming z is positive.\nAnswer: z**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**4 - k**3 + k**2 - k + 1. Let b(f) = 67*f**4 - f**3 + f**2 - f - 80. Let s(q) = b(q) - h(q). Differentiate s(m) with respect to m.\nAnswer: 264*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 - -326. Sort 42, -5, u in descending order.\nAnswer: 42, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 15. Let t be s(26). Let h = t - -149. Let p(u) = u**2 - 3*u - 3. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/10 - -3) + 9499\/(-2990) + 3.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7398435703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w - g - 25 = 0, -g + 17 = -3*w. Let d be 3\/w*(-1)\/(-4). Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 16) in base 10?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 667933428 divided by -2892.\nAnswer: -230959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 7. Let h be n(10). Which is the smallest value? (a) 1\/6 (b) -4 (c) h (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*k - 0*k - 30, -5*k - 2*d = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 16*b**2 - 23*b + 60. Give n(15).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 - -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/6 + 5*h**3 - 9*h**2. Let t be a(-7). What is the second derivative of -t*d**4 + 6*d**4 - 3*d**4 + 19*d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64.4 - 64.39999547. Round p to seven decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 1:14 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -9 + 53 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 19 = 4*o. Suppose -16*h + 8 = -o*h. Solve 2\/9*b**h + 0*b - 4\/9*b**2 + 0*b**3 + 2\/9 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 17892312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 - 5*z**4 - z**4 + (-4*z**3 - 1 + 1)*(-2*z + 6*z - 3*z) - 6*z**4 + 4*z**4 + 4*z**4 + z**4 + 0*z**2 + 0*z**2 + (2*z**4 + 5 - 5)*(-2 - 4 - 1).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257632270*s**2 - 131*s - 20292 wrt s.\nAnswer: -515264540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -5, 1, -643 in decreasing order.\nAnswer: 134, 1, -5, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -7. Let x = 0.3 - 0.2. Let r = 3 + -3.1. What is the closest to r in x, -5, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*x - 2 = 0, 4*u + 0 = -3*x + 14. Let n be 0\/((u + -1)\/2). Suppose 2*y - 3*y + 2 = 0. Sort 5, y, n in descending order.\nAnswer: 5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 560 = -147*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7227.6 to the nearest 10.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 48 = -14*u. Let o = -3 - -3. Sort u, o, -2\/9 in descending order.\nAnswer: o, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -723*l**2*y**2 + 3*l**2 + 491*y wrt y?\nAnswer: -1446*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:13 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144516 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 195369*d. Let j(z) = 11*z**2. Give j(v(i)).\nAnswer: 419859507771*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2)\/(-4)*(88 + -88). Which is greater: 0.44 or j?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109516 and 620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -1565 + 1576 + -6 + 1 + 8 + -7?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -49*k - 547. What is t(-13)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -499.59 + 499. What is t rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22.11. Let d = -0.21 - h. What is the nearest to 1\/4 in -1, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*y = -29, -4*x = -y + 45 + 71. Let n = 41 + x. Suppose -n = -5*d + 3, -5*c - 41015 = -5*d. Round c to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11033857 (base 9) to base 6.\nAnswer: -310220124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Let c(v) = v**2 - 11*v - 1. Let b(z) = c(z) + 6*k(z). Calculate b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/25648 and -149\/672.\nAnswer: 153888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 157\/44 (c) -2\/9 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 4*t**2 - 12*t + 48. Determine m(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/28788 and -1\/3.\nAnswer: 28788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7712280 divided by -128538\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a micrometer in nanometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13\/g)\/(g\/g**(-5))*(g*g**(-2\/5))**(-1\/6))**16 assuming g is positive.\nAnswer: g**(472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26862428 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482812*c = -482865*c - 636 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose -k*b + b + 10 = 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.6.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 7*z - 8. Let o be h(-4). What is the highest common divisor of o and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 14\/3, -1, 442, 2, -9, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10\/11, -215, 1.\nAnswer: -215, 10\/11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15*p - 12*p = -32, 64 = 2*i - 3*p. Solve 0 = -4*u + 4*z + i, 0 = u + 5*z + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 98 - 767 = 160*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*n = -17, 0*n + n = -5*y - 59. Let q = y + 7. What is the units digit of 54\/q*-2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 310 = -2*p. Suppose -p*v = -36*v. Suppose 3 + 9 = 4*a, a = -4*w - 1. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f + 710522*f**3 - 148*f.\nAnswer: 710522*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4 - 2 - 1 + j**2)*(174*j - 80*j + 496*j).\nAnswer: 590*j**3 - 1180*j**2 + 590*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 8)*(-6 + 10 + 28)*(-4 - k**2 + 4)*(-7 + 1 - 3)*(2 - 4 + 3).\nAnswer: 864*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 236795.14626.\nAnswer: 236793.14626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -9*q**5\/4 - 240*q**4 + 136667*q**3\/4 - 89645*q**2\/2 - 41306*q - 7520 = 0.\nAnswer: -188, -1\/3, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 14*y + 6. Let d be (5\/25*-4)\/(3\/(-45)). Suppose 25*t - d = 338. Give l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -89*y. Let s(c) = 6*c. Give s(d(n)).\nAnswer: -534*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1\/28, -0.27?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 3*q + 3*q)*(q**2 + 0 + 0) + 2*q**3 - 3*q**3 - 6*q**3 + (-20 + 50 + 13)*(6*q**3 - q**3 - 3*q**3) in the form k*q**3 + a + o*q**2 + u*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10529032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away -41702.91992?\nAnswer: 41702.68992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 23*v**2 + 18*v + 75. Let s be z(-12). Let y be ((-2)\/(-49))\/(4\/(56\/6)). Sort -2\/15, y, -1\/73, s in decreasing order.\nAnswer: s, y, -1\/73, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:39 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 3*p)*(5*p**4 + 0*p**3 + 0*p**3)*(169 + 22 - 31 + (1 + 2 - 2)*(1 - 3 + 4) + 2 + 1 - 2) + (-3*p**4 + 4*p**4 + 2*p**4)*(6*p - p - 4*p).\nAnswer: 818*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.442 - 71.442. Which is the third smallest value? (a) n (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 10*y**2 + 2*y + 4. Let f(r) = 2*r**3 - 11*r**2 - 3*r - 5. Determine -2*f(w) - 3*v(w).\nAnswer: -w**3 - 8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5 + 84*m**4 - 255*m**3 - 5202*m**2.\nAnswer: -3*m**2*(m - 17)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834\/21 not equal to 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)\/((-13)\/(-50479)). Suppose 2*u = 4*u + 2*z - 1964, -4*u + 5*z = -g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 36. Let j be 13\/(39\/18) + f. What is the third derivative of -6*q - 5*q**6 + 4*q + 2*q**j + 2*q wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {a: 6, u: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = 4*k - k, 4*k = -16. Let o be f\/4*(4 - 2). Let q = 19 - o. What is the greatest common divisor of q and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.902 + -0.098. Put j, 5, 0.2, -2\/13 in decreasing order.\nAnswer: 5, 0.2, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35 + -12)*(-1 + 0 + 0). What is the second biggest value in o, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 435811161 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-12)\/(-8). Let l be a*((-6)\/(-2))\/1. Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/6 + 3 - 38\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - f**2. Let c(b) = 13*b**3 - 4*b**2 - 1457*b. What is -c(s) + 4*i(s)?\nAnswer: -s**3 + 1457*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.74 - -6.74. Which is the nearest to 2? (a) j (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - -16. Suppose 5*j = 5*i + 145, -3 = 5*i - 18. What is the greatest common factor of j and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140858 by 33.\nAnswer: 140858\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.65 - 453.65. Let w = j + 406.9. What is w rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*2*1) + 3*((sqrt(65) + sqrt(65)*2 + sqrt(65) - sqrt(65)) + sqrt(65) - sqrt(65)))\/((-2*sqrt(35))\/sqrt(7)*1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 140. Let y = -37 - r. Suppose -y*n + 5 + 41 = -3*i, -i - 5*n = -18. Let j(a) = a**3 + 7*a**2 - a + 5. Determine j(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -24, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*b**4 - 56*b wrt b?\nAnswer: -1680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 13\/17, 0.4, -7 in decreasing order.\nAnswer: 13\/17, 0.4, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 66 + 66 - 14*k**2 - 27*k**2.\nAnswer: -47*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 4*z. Let q(u) = -u**2 - 13*u - 25. Suppose 3*n = -n + 2*g - 42, -3*n - 37 = 4*g. Let f be q(n). Give v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k = 80*k - 3*u + 18, 11*k + 10*u - 60 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**2 - 4*w + 8*w - 6*w.\nAnswer: -30*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g**3 - 13*g**2 - 9*g + 9. Let u(b) = 4*b**3 - 3*b**2 - 2*b + 2. Let x(v) = v**3 - 7*v**2 - 11*v + 26. Let y be x(8). Calculate y*k(c) - 9*u(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.1, 2\/13, 5, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-255)\/(-6))*(-20)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 0.1, 10\/13, 0.15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160841740.\nAnswer: 2, 5, 1069, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-192)\/(-18) - (-4)\/12. Suppose -4*h = -u + g, -3*h = -5*u - 2*h + 17. Let v be 51\/9 - 5\/u. Solve 2*l + 2*l + v = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 68. Let j = -58 - c. Suppose 0 = -j*f + 4*u + 56, 0 = f + 4*f - 3*u - 74. Calculate the greatest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 20 = -50 - 34 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/19, -0.4, 81, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34004.63 litres?\nAnswer: 34004630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95\/561 - -4\/51. Which is the closest to -1? (a) t (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/2328955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 2948 + 6\/2. Differentiate 2953*l**2 + 3*l + 9*l**3 - i*l**2 + 2 with respect to l.\nAnswer: 27*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Let p = -3.1 - v. Suppose 4*z - 8 = 0, 0*g + 5*z - 18 = 4*g. Which is the closest to p? (a) 1\/4 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74+-0.77531\nAnswer: -74.77531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 7*t - 2*t + (-4 - 1 + 3)*(-12*t - 17*t + 32*t - 2) + t + 0*t - 3*t.\nAnswer: -14*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 - 1 + 1)*(2 + 5 + 3) - 145*o**2 - 48*o**2 - 261*o**2 - 36*o**2 - 393*o**2 as x*o + d + w*o**2 and give w.\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-10)*-10 - 5. Suppose -6*v - 8*v + 56 = o. Solve 0 = -4*x - 4*u + 12, -15 = 3*x - u - v*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57464 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.5, -0.03, -5, 63 in descending order.\nAnswer: 63, 1\/8, -0.03, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 16\/6. Suppose 3*r = 4*x + 7*r - 8, 0 = v*x - r + 2. What is the derivative of -4*h**3 + 0 - 2 + x - 2 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*i + 1207 - 4023 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2\/2 - 560. Let g(a) = 119*a**2 + 1. What is q(g(h))?\nAnswer: 119*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278898 divided by -2021.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 16*o = 107 - 283 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1053\/15)\/((-5330)\/(-4100))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246227717 and 1328.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, o: 1, h: 4}. Give prob of picking 1 h and 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5049*p - 11118 - 182243 + 6548 = 0 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 930 = -2*x. Let r = 190 - x. Solve r*c - 2*c = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2408 (base 12) to base 8\nAnswer: -7710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - 7*d + 1. Let t be o(-6). Suppose t*u = 963476 + 156524. What is u rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + m - 3. Let a be t(-2). Let k = -18 + a. Solve -2*f = -k - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1. Let t(b) = -b**2 + 5*b. Let u(f) = -4*q(f) + t(f). Suppose -g = -6 - 0. Let d be u(g). Is d > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149835, -149982, -150143, -150324, -150531, -150770?\nAnswer: -151047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-66)*(-88)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 876*r + 17497. Calculate h(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3959218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658674?\nAnswer: 2, 3, 23, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*-2*(-70)\/80?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2298, 1675, 1052, 429?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z + 9. Suppose -z*m + 12 = m. Let k(y) = -y - 3 + m. Give k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m - 6*m + 20*m + m**2. Let z be i(1). Let u be (-408)\/(-128) - (1 + z). Are 0 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 6*m. Let p(a) = a**3 - 4*a**2 - a + 3. Let z be p(m). Solve -z*u = 2*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122981*p + 61480*p + 61502*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 128 = 5*f, -j + 3 - 307 = 11*f for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 31*o**3\/2 + 5*o**2 - 17*o. What is the units digit of r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*x = -44 - 454 - 188. Solve 0 = -p - 5*m - x, 0 = -p + 3*p - 4*m - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b. Let y(m) = -2*m**3 - 4*m**2 - m + 5. Let x(t) = -t**3 - t**2 + 1. Let a(q) = -3*x(q) + y(q). Determine a(f) - j(f).\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 70. Let h(q) = -q**3 + 12*q**2 - 11*q - 6. Let s be h(11). Sort y, s, -0.5.\nAnswer: s, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9650 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 2\/3, 49, 16, -0.2, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -36. Put n, 0, -2, -1 in descending order.\nAnswer: n, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 12 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 6. Let o(n) = -4 + n**2 - 6*n - 2 + n. Let m be o(5). What is the units digit of u(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 8) to base 11\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from {h: 4, o: 3, c: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 10. Let y be w(-16). Let q = 64 - y. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 34) + 5 - -122?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/38 and 53\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -20625?\nAnswer: -20625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 71. Let j be v(62). Solve 0 = 3*d + j, 5*q + 5*d - 7 - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -j - w - 6, -44 = 9*j + 4*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -76.5.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 6557 - 6557 + y**2 = 0 for y.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.1 (b) -3\/4 (c) -1\/3 (d) -18 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - f. Let o = f + 0. Let a(b) = -155 + b - 148 - 191 + 497. Give a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/10 - -42) + ((-6)\/3 - 10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -50. Suppose 5*l = -q*p + 250, -4*l - 2*p + 64 = -136. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, f: 6, v: 2}. Give prob of sequence hhvh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 + (-49 - 12) - 58.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -38, 2\/7.\nAnswer: -38, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*l - 269*l = 4*h - 23, -5*h = -2*l + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/20 + 5*c**4\/12 + c**3\/3 - 3*c**2 + 25*c. Let f be y(-4). Does 6 divide -1 + (6\/f - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017554022 rounded to six dps?\nAnswer: 0.001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2002685 and -61\/8?\nAnswer: 16021480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (21 + 0)\/(-7). What is the third derivative of 1451*o**5 + u - 1 + 6 - 1450*o**5 - 34*o**3 + o**2 wrt o?\nAnswer: 60*o**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -36*d - 623. Calculate y(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 11 = -71. Let l = -35 - b. Find the third derivative of -10*f**6 + 11*f**6 + 13*f**2 - 22*f**l wrt f.\nAnswer: -2520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2066.41 hours?\nAnswer: 7439076000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400433344 (base 6) to base 13.\nAnswer: 15263bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/q**9))\/(q*q\/q**(-5\/2)))**(-7))**6 assuming q is positive.\nAnswer: q**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + -68.58.\nAnswer: -68.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -7804?\nAnswer: 35\/7804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1315*w. Let x(h) = -2*h. What is x(q(l))?\nAnswer: 2630*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:40 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215.7 + 222.7. Let g = 1619\/2370 + 4\/237. Let i = g + -41\/30. What is the smallest value in i, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*n - 50, 5*h + 0*h - 44 = n. Suppose 0 = -3*u + 3*j + 8 - 2, 2*u + 3*j = h. Let p(o) = -7*o**u - 6*o**3 - 1 + 6*o**3 + 2*o**2. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9105 divided by -15?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36336821 to the nearest integer?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r**3\/2 + 2633*r**2\/2 - 4027*r\/2 + 1407\/2 = 0. What is r?\nAnswer: 7\/13, 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + r + r + 0. Let i = -10 + 17. Let x(f) = 2 + i*f - 2 - 9*f. Give v(x(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3865 - 3876 = -2*j + r, -j + 3*r = -23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (2 + -11)) + -4 - (-129 + 253)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 638 + -7011\/11. Let c = 31\/2 + -15. Let g = c - -7. Find the common denominator of g and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z - 5*z)*(2 + 0 + 2) + 6*z - 9*z - 7*z + 6 + 15*z - 6.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 15. Calculate d(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 598726498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/14 - 465\/238. Which is the closest to -3\/2? (a) -0.4 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-720)\/(-320))\/((-2)\/(-8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n - 1831 = 0, -n - 4*n + 2270 = 5*w. Suppose 3*p - w = 3*i, 5*p + i + 4*i - 725 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/17 + 30*f**3\/17 + 126*f**2\/17 + 98*f\/17 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1355, 1313, 1281, 1265, 1271, 1305, 1373?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*m + 573*m + 36968 = -14673 - 28387 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 44761480?\nAnswer: 447614800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 2 + 2 - 8*t**2.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 41 - 17*u as r + p*u and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -4\/9 (b) 18 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/8)\/((2145\/520)\/((-6)\/2))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*b + 4746 - 4735 = -2*b, 0 = 12*n - 17*n + 5*b + 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156741669320681 minus -0.4?\nAnswer: 156741669320681.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 248 = -52*n, u + 7 = -56*n + 54*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500 + -289. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)*1 + 2. Let y(u) = -6*u + 1. Let o(p) = -7*p. Let t(g) = 2*o(g) - 3*y(g). Determine t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0221 and 6.8347.\nAnswer: 6.8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1628 - -1602. Which is the closest to -1? (a) -4 (b) u (c) 12 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, -270, -4 in increasing order.\nAnswer: -270, -4, -3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 0.28953?\nAnswer: 0.28953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/870)\/(29\/(4176\/252)).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 190 = -8*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3 - 1693094*w**2 + 12980203*w + 4514856 = 0.\nAnswer: -1\/3, 8, 564357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - h + 1. Let r be u(1). Suppose 0 = -4*k - m + 3, -4*m - 22 = 3*k - r*k. What is the smallest value in -0.3, k, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -602 - -590. Let t be 8\/36*27\/x. What is the closest to t in 0.1, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 176. Let w(p) = p**3 - 5*p**2 - 7*p - 2. Determine w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26050685*-2.\nAnswer: 0.5210137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6503 + -6306. What is the smallest common multiple of 6 and z?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 24. Let f = v - -29. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 3*o**2 - 2*o + 2. Let y be 300\/108 - (-2)\/9. Let r be z(y). Let k = r + 199. Calculate the remainder when k is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.14. Let l = -591.8 - -597.1. What is the third smallest value in s, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 31. Let g = -22 + c. Let w = 10\/489 + 439\/2445. Sort g, w, -3 in increasing order.\nAnswer: -3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 5. What is d(15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + 11*m - 2. Let b(g) = -5*g**2 + 11*g - 3. Let k(n) = 5*b(n) - 6*h(n). Give k(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -5771270?\nAnswer: -5771268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(1300) - sqrt(1300)*-1))**2 - ((sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -1))) + 4 - (-3 + sqrt(1300)*-2))**2.\nAnswer: 35073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q\/(q*q**(1\/2)))\/(q*(q*q**(-2\/3))\/q)**16 assuming q is positive.\nAnswer: q**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 + 6*s - 4. Let z be d(4). Suppose v - 2 = -z*k, 5*v + 2*k - 8 = 2. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:18 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = 4. Calculate the highest common factor of 6 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4210 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(4\/(-8) - 1)\/3. Let w(d) = d**3 - d**2 - 3*d. Let a be w(j). Let h = -0.3 - -0.3. What is the nearest to h in a, 0.5, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5001665 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.73 - -2.73. Which is the closest to 0.1? (a) 0.5 (b) -1 (c) o (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 4*c + 8. Let b be u(-4). Let d = 32 - b. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 59*i**2 - 65*i - 361. Determine s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 2. Let t be h(-2). Suppose t*i = 222 + 792. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3977, -8555, -13165, -17801, -22457, -27127?\n\"Answer: q**3 - 22*q**2 - 4519*q + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849 and 1028422.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 + -917\/5. Suppose c + 32 = -s, -2*s + 1867 = -4*c + 1817. Suppose 4*t + 0 = 4. What is the closest to 1 in t, i, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-204)\/(-17) + -20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 7*c**2 + 4*c - 2. Let b(p) = -p**2 - p. Let u(k) = 2*b(k) + v(k). What is u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -39*n + 11. Let o(z) = 3146 + 20*z - 6306 + 3154. Give 11*o(b) + 6*w(b).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m + 12*m**2 + 44 + 7*m**2 + 10 + 3*m wrt m?\nAnswer: 38*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.38616282 rounded to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -60. Let i(j) = -j**2 - 4*j - 1. Let a be i(-3). Suppose 4 = d*h - a*h. Is h > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 155 = -3*k - 5*u, 3*k = 3*u + 117. Let w be -5 - (-1)\/(5\/k). What is the closest to 1 in w, 4, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 2*l**2 - l + 1. Let f be w(1). Let r be f - (20\/14 + 0). Let n = 0.57 + -0.17. Which is the second smallest value? (a) r (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 3. Let d(r) = 1. Suppose 5*o = -12*z + 16*z + 11, -16 = -4*o + 5*z. Give o*d(s) - h(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:52 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31.66 and 1?\nAnswer: 30.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 10*r + 3. Let o be g(-8). What is the common denominator of o\/6 - (-3 + 3) and -59\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7064 is divided by 444.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-4 - (-2)\/1). Let b = 633 - 631. What is the second derivative of -2*j**2 + b*j**2 + 182*j**x + 6*j - 188*j**3 wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.81874326 and 4.\nAnswer: 19.81874326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbbbbbgbbbb?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-50 + (-6 - 21))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpxdxxcpcpu. What is prob of picking 1 d and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)**(-31)\/((z**(1\/2)*z)\/z**(-1\/3)))\/(z**4\/(z**6*z))**14 assuming z is positive.\nAnswer: z**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let r = 10.9 + -10.5. What is the nearest to 2\/7 in n, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 + 5*s + 8. Let y be d(6). Let z be 0\/1 + 9 + -2. Suppose z + 18 = 5*j. Solve y = j*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001010010110 (base 2) to base 11\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -162*s + 301 + 347. Solve 14\/9*o**3 - o**5 + 2\/9*o**2 - 1\/3*o**s + 1\/9 - 5\/9*o = 0 for o.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2785, 2787, 2799, 2827, 2877, 2955, 3067?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5724*i - 340*i + 101*i - 2416*i + 367*i as p*i + r and give p.\nAnswer: -8012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 75*a**3 + 82*a**2 + 2*a - 4. Let d(n) = -449*n**3 - 488*n**2 - 13*n + 26. Let l(s) = -6*d(s) - 39*f(s). What is the third derivative of l(m) wrt m?\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -103252024?\nAnswer: -103251621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5076 or 5060?\nAnswer: 5060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408585 and 90?\nAnswer: 2451510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2584 = -3*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let n(i) = -i + 13. Let q be n(9). Let s = q - 9. What is the third biggest value in 0.3, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(41\/205)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/51673816 and 111\/20?\nAnswer: 258369080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 693294 and 1428.\nAnswer: 1386588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((1*sqrt(54))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79220 from -257.\nAnswer: -79477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ed14b (base 16) in base 9?\nAnswer: 14588287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 275000*a**2 - a - 4. Let m be c(-4). Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296*m*t**4*y - 713*m*t**4 + m*t**3 - 39831*m*t**2*y + 2*m - 8*t**2 wrt t?\nAnswer: -7104*m*t*y - 17112*m*t + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5472?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*a - 2*k - 5, -a + 2*k = -9. Let o = 5 + a. Let v be (-7)\/o*2*3. Are -6 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 140. Let v be (-38)\/(-84) + (h - (-117)\/(-54)). Solve 0 + v*d**3 + 2\/7*d**4 + 0*d**2 + 0*d = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1960\/(-2100))\/((-4)\/36))\/(13\/(3640\/(-16)))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 193, 22, -229, -566?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13620683 by 1.\nAnswer: 13620683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*2*(-3)\/(-12). What is the second smallest value in q, 0.5, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130491941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 6?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, -14 in descending order.\nAnswer: 2, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*a = 3*u - 63, 3*a + 57 = 2*u. Let t = 53 - u. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -5*y**3\/3 + 5*y**2\/2 - 2*y + 1. Let t = -128087 - -128090. Give s(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 6*x**2 + 7*x - 4. Let y(l) = 2*l**2 - l - 1. Let k(r) = -r**3 - 2*r**2 + 28*r + 24. Let q(u) = -k(u) - 4*y(u). Let w be q(9). What is a(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1016 - 2?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 11*z + 1. Let y = 414 + -293. Calculate the remainder when y is divided by w(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(3 + -4)*((-16)\/1480 + 0).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*k + 171*k - 94*k**2 - 111*k wrt k?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200432505433 - 0?\nAnswer: -200432505433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2)\/6 - 0 - (-3987198)\/162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 1\/8*j**4 + 3\/160*j**5 + 0*j**2 - 2*j - 1\/80*j**6 - 1\/4*j**3. Solve i(d) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t - 40 = 0. Let z be ((-8)\/20)\/(1\/t). Suppose 4*d - 31999988 = -z*s, -4*s + 31999991 = -0*s + 3*d. Round s to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -a + 45, 0 = 12*a - 16*a + 4*g + 132. Calculate the greatest common factor of a and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-5)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.077 - 5.077. Which is the nearest to 1? (a) 4\/3 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-2\/57))**(-1\/3) assuming b is positive.\nAnswer: b**(2\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 28. Let u be n(18). Let q(g) = g**2 - 9*g - 1. Give q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 504086*o - 504087*o - 1 + 2. Suppose 5*g + 7 = -2*q + 1, -3*g - 4 = q. What is k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2639553920 and 640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/5 + (-4)\/10. Let i be ((-4)\/n)\/2*-9. Suppose 6*m - 18 = i*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*b**2\/13 - 96*b\/13 + 18\/13 = 0. What is b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 42*k - 2*g, -5*k - 4*g - 10 + 23 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 547488 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 4*sqrt(275))**2 + 5.\nAnswer: 4856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 32a5?\nAnswer: -32a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 23 = 26, -4318 = -5*w + o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a millennium in decades?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -39*t - 2. What is n(2)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -105*o**2. Let a(j) = -4*j**2. Let w(u) = -u**3 + 15*u**2 + 11*u - 57. Let b be w(15). Give b*a(f) - 4*p(f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 - 11*o**2 + 10*o. Suppose -2*m + 1 = 9 - 4. Let p(y) = -2*y**3 + 5*y**2 - 5*y. Determine m*a(r) - 5*p(r).\nAnswer: 2*r**3 - 3*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*l - 29*l + 3*p + 3 - 0, 2*l - 214*p = 7 - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 35*r**4 - 25*r**3 - 10*r**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.2113031 seconds to hours.\nAnswer: 0.00200313975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*q - q. Suppose -k + q*p - 20 = -2*k, -k + 40 = -2*p. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -31\/92, -11\/2.\nAnswer: -11\/2, -31\/92, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r - 3*r + r**2 + 7 + r wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316 divided by 79\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -10\/29 (c) 3\/2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 14. Let t be x(9). Let u be t\/5 + (-8)\/(-20). Suppose -u*i + 38 = -34. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + 181 + -1. Suppose p = 2*y - 3*w, 0 = 5*y - 0*w - 2*w - 453. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 55*h**2 - 26*h**2 - 10*h + 27 - 26*h**2. Let b be w(7). Let c = b - 86. Calculate the remainder when 51 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 7*f + 7. Let x be c(6). Let h(s) = s**3 + 7*s**2 - s - 3. What is the least common multiple of h(-7) and (-20)\/6*(x - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 22*s**2 - 15*s - 20. Let n(t) = 2*t**3 + 23*t**2 + 16*t + 19. Let v(y) = 5*h(y) + 6*n(y). Does 14 divide v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**3 - v**2 - v. Let w be o(-1). Let z be 1\/(2 - w\/6). Are 0.1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f + 14. Let k(a) = 30037*a. Calculate u(k(z)).\nAnswer: 510629*z + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(10\/3))**(-21\/8) assuming b is positive.\nAnswer: b**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 408*x - 14. Let a(c) = 6*c. What is a(m(j))?\nAnswer: 2448*j - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 759 + 834 = 0. Solve -w*d + 6 = -17*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.52955 decades to millennia.\nAnswer: 0.4852955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -1\/3 (c) 2\/19 (d) -163 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -23, -15, -17, -35, -75?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477128 by -59641.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/110 and -61\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1335589 rounded to two dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) 4 (c) 2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/44*(-16)\/20*-1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 15600 = -14*j - 31*j. What is the fourth biggest value in 5, 0, 0.1, j, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f - 14. Let k(r) = 1. Let i(b) = -k(b) - v(b). Let w(h) = -11*h + 20. Let m(p) = -8*i(p) + 5*w(p). Determine m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-22) - 14\/(-77). Let j = 2 + -7. Which is the closest to r? (a) j (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - o = 4 - 1, -9 = -4*c + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(70)\/sqrt(10)) + 5 + (sqrt(133)\/sqrt(7))**2.\nAnswer: sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 190*f**3\/3 + 1216*f**2\/3 - 1408*f\/3.\nAnswer: 2*f*(f - 1)*(f + 8)*(f + 88)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7182 and 1386.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 913 - 445 = 5*c + 458, 5*y - 25 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81704 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (1 - 4)*1. Suppose t + t - 158 = q. What is t rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*f - 5, 3*q - 10 + 16 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = t + 287, t + 2*x + 2*x + 302 = 0. Let l be ((-2)\/3)\/((-3)\/t). Let h = -62 - l. What is the biggest value in h, 3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 16*a - 9. Let j be c(-7). Suppose -2*f = 3*f + j*h, 2*h = 2*f - 8. Solve -f = 3*x + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3935 bigger than -3936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m**3 + m**3 + m**2 + 3*m**3)*(5 - 5 - 3*m)*(4 + 2 - 5) in the form q + h*m**4 + z*m**3 + p*m**2 + n*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 20 - 12 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719715 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from ggqqqgq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9*h = -12. Suppose -j - 6 = -3*j. Suppose j*g - 2*x - 19 = -0*g, -x = 2*g - 8. Solve 10 = -h*i + 2*f, g*i + 5 = 2*f - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 23. Let k be i(5). What is the third derivative of 25 + 21*y**3 + 3*y**2 - 12 + 34*y**k + 43*y**3 wrt y?\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/5 - 12\/(-15). Is (z\/4)\/((-2)\/(-168)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 40 = -20*y + 25*y, -2*y = -2 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -145876, -145984, -146096, -146212?\n\"Answer: -2*o**2 - 102*o - 145772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*q + 24. Let c = 119 + -81. Let m = c - q. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4356 and 1921656?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + l + 1147 = -0*l, 5*r + 5*l - 1440 = 0. What is the highest common factor of 41 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6+1.8382\nAnswer: -4.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {l: 6, i: 1, p: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 734?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.32.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(5\/(20\/(-6))) + 45 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13)\/1*(-8 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((sqrt(832)*-3 - sqrt(832))*-5 + 2)**2 + -3).\nAnswer: -8320115 - 16000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -13 + (-59 - (54 + -97))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t + 41. Let s be z(-7). Let h = 111 + -73. Suppose h = 4*w - 5*b, 5*w - s*b = -2*b + 52. Is 1\/4 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-2 - sqrt(16))\/((1*sqrt(80))\/sqrt(10))*1 - ((-1 + sqrt(242) - sqrt(242))**2*3 - (6*(sqrt(242) + 1))**2)*-5.\nAnswer: -43725 - 3967*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.38 - -0.08. Let r = 5.8 - 6. Let m = h - r. What is the third biggest value in -5, 0.2, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 - (34 + 2 + (10 - 41))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - y**2 + 3*y + 3*y**2.\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 9*g - 4. Let s be r(-5). Suppose 13*a = s*a + 45600000. What is a rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - 1 - -6. Suppose 4*f = -r*u + 28, 4*f - 4*u + 10 = 2*f. Suppose f*m = -2*j + 28, -4*m + 2 = -5*j + 3. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 4. Let c be q(0). Let w = c - -3. What is the remainder when 27 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(6)\/sqrt(3) + (4*sqrt(32) - sqrt(2)).\nAnswer: -3 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2024*d = 2055*d + 256977 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*b = -0*b - 23, x + b = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62284 - 10565 + 4744 = 1607*b - 44778 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9519083ug?\nAnswer: 0.0000000000009519083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000440144 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6833 - -1152. List the prime factors of u.\nAnswer: 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95534638.\nAnswer: 2, 47767319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. Let p = -7.63 + -143.37. What is the third biggest value in 5, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (92 + -68).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/9281 and 77\/8.\nAnswer: 74248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/21 - (-4)\/(-14). Let x be 1 - -5*(-5)\/25. Is b > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4341a (base 13) to base 15\nAnswer: -26024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrf when three letters picked without replacement from {w: 1, k: 1, f: 1, q: 2, s: 1, r: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0703 + 0.0355. Let n = i - 0.1. What is n rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h - 888*h - 15801 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:12 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1 - 1 - t**2 - t**2. Let x(s) = s**2 + 1. What is 3*v(h) + 5*x(h)?\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.876281 * -58.\nAnswer: 166.824298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647187934.\nAnswer: 2, 103, 3141689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20908871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.597, 8, -48\/7?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((7 - 13 - -3) + 7) - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -51, -106, -181, -276, -391, -526?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95\/196 - -36\/49. Is 185 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-2)\/(-3))\/((-60)\/(-45))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 74, 3 in descending order.\nAnswer: 74, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (504\/6)\/(-4) - -2. Let y(b) = -6*b - 69. What is the units digit of y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = 0, -h + 0*n = -2*n - 11. Find the third derivative of 6*u**3 + h*u**2 + u**2 + 6*u**3 wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 12*d - 16*d + 168, 2*d = -m + 44. What is the least common multiple of 25 and m?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*n - 20, 3*n = -205*l + 202*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - (-3 + (-3 - -3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 4. Let v(j) = j**2 + 11*j - 4. Let h be v(-11). Determine i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-10)*p*p)\/p)\/(p\/(p*p*p**(4\/19))*p))**(-16\/7) assuming p is positive.\nAnswer: p**(2368\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**2 - 3*h + 1. Let a(n) = -n**2 - 5*n + 3. Let y be a(-7). Let g be y\/((-594)\/96) - (-4)\/18. Determine d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 71. Let o be i(-11). Suppose o*t + 1306 = 3*r, -4*r + 1749 = -8*t + 9*t. What are the prime factors of r?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035548023510 + 0.054?\nAnswer: 3035548023510.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 177*r = 0.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -5, -0.2, 0.3, -1414?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)\/q)\/q**4)\/(q*q\/q**0)**(2\/91)*q**(-1\/4)\/q**6*q**(-5)\/q**(-4) assuming q is positive.\nAnswer: q**(-5567\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3937010 and -18\/5.\nAnswer: 3937010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y - 6. Let b = 20 + -15. Let d(k) = 13*k**2 - 5*k - 11. Let n(r) = 4*r**2 - 2. Let l(o) = d(o) - 3*n(o). Determine b*p(x) - 6*l(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than 21139047719.338?\nAnswer: 21139047719.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let p(q) be the first derivative of -2*q**3 - 340. What is 4*d(a) - 2*p(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -4. Let b be (-2)\/(-13) + -22*(-2)\/52. What is the remainder when 33 is divided by 18*b*3\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/4*(-78)\/117*-45\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 13. What is the remainder when 270\/8 + t\/(-4) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-6))\/((-5)\/(-7)) - (-3)\/(-9). Put 13, 15, s in descending order.\nAnswer: 15, 13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 35*b - 195. Determine a(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 129*d**2 + 177*d - 7228. Calculate u(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 18*i + 44 - 109 - 3*i**2 + 0*i**2 + 75.\nAnswer: -3*i**2 + 18*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 37*d - 47706. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) + (-27)\/36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**(-47))**(4\/29)\/(v**5\/v**(-3)*(v\/(v*(v**(2\/3)*v)\/v))\/v**5) assuming v is positive.\nAnswer: v**(-1331\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*p + p + 343, 0 = -t + 2*p + 119. Suppose -44*h + 43*h + t = 0. Calculate the greatest common divisor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - 1032?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -9*o + 15759. Is 3 - -2 - (7 + (o - 4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v = 37*v + 24. Suppose -v*i + 495 = -19*i. Calculate the remainder when i is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -81. What are the prime factors of (12\/18)\/(y\/(-978))?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33542540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 2102679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*d - p, -20265*d - 3*p = -20260*d - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 62*g + 184. What is i(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 846592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000659 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4\/6 + 170*u**3 - 155465*u**2\/6 + 786330*u - 760590 = 0. Calculate u.\nAnswer: -313, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048183348 rounded to seven decimal places?\nAnswer: 0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63878289.\nAnswer: 3, 983, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*k**3 + 2*f**3*k**2 + 22*f*k**3 + 91*k wrt k.\nAnswer: 6*f**3 + 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 431230947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 q, and 1 s when three letters picked without replacement from qqsoeww?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6927 = -18*l - 6981 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55468*h**2 + 637033*h - 637033*h.\nAnswer: 55468*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2581 and -4.\nAnswer: -10324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/28)\/((-1)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (6 + -6) - (-354)\/1. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*x + 9. Let z(g) = -g**3 + 10*g**2 - 10*g + 12. Let c be z(9). Calculate the highest common factor of x and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:37 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2\/3*j**3 + 0*j + 0*j**2 + 2. Let y(w) = -4*w**2 + 2*w**2 + 3*w**2. Give y(f(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r - 11 = 3, -5*r + 12 = -4*b. Suppose 3*k - b*k - 2 = 0. Calculate the highest common factor of k and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 33*l - 3*p + 241984 = 0, -5*l + p + 302461 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -1*(-1 + sqrt(448) + 3)))**2 + 4.\nAnswer: -432*sqrt(7) + 4117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5719305 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**6\/180 + z**3 + 6*z. Let o(y) be the second derivative of t(y). Suppose o(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3016956 and 3036.\nAnswer: 33186516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h**2 - 356*h - 51. Does 23 divide y(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 202, 205, 208, 211?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 6126219\nAnswer: -5\/6126219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 - ((-166)\/6 + 6). Calculate the greatest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 247155 (b) 4\/5 (c) 0.5 (d) -7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1941217.9 to the nearest one thousand.\nAnswer: -1941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/25 (c) -0.2 (d) 0 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027141536 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6078649 + -4?\nAnswer: 6078645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:42 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 45*r**2 - 16*r**2 - 20*r**2 - 5*r**2 - 14*r**2. Let w(z) = 53*z. Calculate d(w(b)).\nAnswer: -28090*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 614*p - 292. Does 113 divide r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1289, -4041, -8271, -13973, -21141, -29769, -39851, -51381?\n\"Answer: b**3 - 745*b**2 - 524*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-17)\/68)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.013 in -19, -1, 2\/5, -5, 17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 1. Let y(d) = -2*d**2 - 293*d + 7. Calculate y(s) - 6*z(s).\nAnswer: 4*s**2 - 293*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1 - (5 - 3). Suppose 2*u = -6 + p. Let i be -10*1\/((-5)\/u). Is i at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from {f: 1, i: 7, j: 12}.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.267907 litres to millilitres.\nAnswer: 8267.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -269, -1\/2, -2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 702 + -13d3e?\nAnswer: -1363c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 7*a**2 + a - 3. Let o be s(7). Factor 2 + o*m + 5\/2*m**2 + 1\/2*m**3.\nAnswer: (m + 1)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 9*i**2\/2 - 6*i - 5. Let c(l) = 17*l - 11. Let x(h) = -6*c(h) + 11*v(h). Let w(o) = -2*o. Give x(w(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -9\/4, -0.056864?\nAnswer: -0.056864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -35*l + 76*l - 26*l. Solve -l + 41 = 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*u - 112, 3*u + 3*n - 73 = 11. Let p = 356 + 380. Calculate the highest common factor of u and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*k**2 + 67*k**4 + 20*k**2 + 3*k + 19*k**2 + 0*k wrt k.\nAnswer: 1608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Suppose -t*p + 131 = -2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99, -313, -641, -1083, -1639?\n\"Answer: -57*d**2 - 43*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 1688*j + 56779. What is b(-33)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-0.00118.\nAnswer: -0.0001062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26645.1 + -26646. Let x = 2.02 - 0.02. Which is the second biggest value? (a) x (b) n (c) -1\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -468. Suppose -x = -a - 4*a. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929692 is divided by 1999?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110172742 and 5042?\nAnswer: 5042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 78, 84, 90?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-90))\/(((-210)\/1925)\/(9\/10))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240112?\nAnswer: 2, 179, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8*(-18)\/(-168))\/((-6)\/(-14)). Let o(h) be the first derivative of -20 + 0*h**t - 3*h + 2\/3*h**3. Find the first derivative of o(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -40. Suppose 5*n - 4*n - r = 0. Suppose c = 5*p + 1471, -2*c + n*p - 3*p = -2958. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q + 1\/24*q**4 - 3*q**2 + 0*q**3 + 0. Let y(h) = 7*h**2. What is i(y(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10 - 33 + 697*l - 13. Is p(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/11, -3719 in descending order.\nAnswer: 2\/11, -0.4, -3719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -181*v + 1. Let t(z) = -364*z + 1. Let k(o) = 9*s(o) - 4*t(o). Suppose -5*m = -0 + 30. Is k(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139 + 133)*(-4)\/120.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/11 + 84544*q**2\/11 - 1352248*q\/11 + 2366336\/11 = 0.\nAnswer: 2, 14, 42256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 3743*b**2 - 1068*b + 1149. Determine i(-535).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.158 in 2\/11, -3, -5\/3, 1\/3, -0.01?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a - 0. Suppose -a*n + 31 = 11. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/1*7*208\/(-16380)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7*r + 45 = 5*r, -21*w = -r - 986. Calculate the highest common factor of w and 5687.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1516068 + 1516067.94000095. Let h = 592 - 592.06. Let w = o - h. What is w rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.524 and -1.9?\nAnswer: 50.3956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 715, 1687, 3069, 4873, 7111, 9795, 12937?\nAnswer: 16549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8956 is divided by 289.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 4*u)*(0*u - 43*u + 7*u) - 10*u**2 + u + 5*u**2 - 2*u.\nAnswer: 67*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 2. Let c be j(4). Let s be 2\/(-6) + 2\/c. Solve s*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/3 + k**2 + 4*k. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2859*48.1.\nAnswer: 137517.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(1800)*4)\/((sqrt(9) - (sqrt(9) + 1*sqrt(9)*-4)) + sqrt(63)\/sqrt(7)*-1))**2.\nAnswer: 320000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 10\/6 - 2\/(-6). Is 1 + 0 + v - (-1644)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80820 and 80820.\nAnswer: 80820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 32*n**2 - n**4 - 15*n + 4*n + 3*n**4 to r + i*n**2 + u*n**3 + f*n**4 + b*n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7 = -4*s, -1590*o - 83 = -13*s - 1588*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4797\/7945 - 6\/1589. What is the third biggest value in r, -126, 2\/15?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**3 - 36*q**2 - 6*q - 12. Let m(r) = -17*r**3 - 71*r**2 - 11*r - 22. Let h(i) = -11*k(i) + 6*m(i). Find z such that h(z) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 27824512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 16 = 18*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Let s be f\/(-2) - (-2 - 1). Let o(v) = -2*v**2 + 14*v + 3. Let z be o(7). Solve 4*p = s + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*h + 74. Suppose 0 = -3*s - 12 + h. Suppose s*a = -5, -3*x + 69 = -2*x - 2*a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 75, 65, 71, 99?\n\"Answer: n**3 - n**2 - 24*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*27\/3528)\/(2\/(-14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 10*p - 47 = -5*j, 3*j - 4*p + 0*p = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 14454*s\/7 + 874252\/7.\nAnswer: 2*(s + 61)*(s + 7166)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**2 - 525*g**4 - 16*g**2 + 553*g**4 wrt g.\nAnswer: 672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 478855, 957714, 1436567, 1915414?\n\"Answer: -3*d**2 + 478868*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152) + -4*-2*sqrt(152) + sqrt(152) + -5*3*sqrt(152) + sqrt(152))\/(((sqrt(432) + sqrt(48))*-1 - sqrt(48) - sqrt(48))\/sqrt(6)*-4).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 7381 - 3\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/5)*s)*s\/((s**(-2)\/s)\/s*s)*(s*s**(1\/4))**(1\/52))**(-40) assuming s is positive.\nAnswer: s**(-3977\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32203 is divided by 235.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + k**2 + 3*k + 3. Let u be b(-3). Let w = -31 - u. What is the remainder when 1102\/14 + (-12)\/(-42) is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose 3*d + 0*d = 3*i - 12, -4*i = 2*d - 16. Let g = d + z. Solve 0 = 2*f + 4*s - 26, -5*f + 0*s = g*s - 33 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -24.9. Let w = -21 + j. Let h be -1 + (-1 - -1 - -4). What is the nearest to 1 in w, h, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 11. Let r be t(-6). Let w(f) = 24*f**2 + f - 1. What is the tens digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaeeoaooioeo. Give prob of sequence oo.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -7, 2 in descending order.\nAnswer: 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88852445527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(6 + 273\/(-45)). Let j be 40\/g*-3 + 16\/(-6). Let -4\/3*w + 4\/3*w**3 - 4\/3 + j*w**2 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*n + 7. Determine i so that -i**3 + 4*i**4 - 17*i**n + 17*i**2 - 2*i**5 - i**5 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(102)\/sqrt(6) + -2 + sqrt(153) - (2 + sqrt(1700) + 5)*2)**2.\nAnswer: 576*sqrt(17) + 4676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40176926609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y. Let g(r) = -2*r**2 - 26. Determine u(g(v)).\nAnswer: 20*v**2 + 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 8*m - 7. Give d(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -23*l + 27*l. Suppose 2*c = -4*s - l, 2*c + 6 = 5*s + 35. Let f(v) = v**3 - v - 2. What is f(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99)*-1 - sqrt(99)) + -1*sqrt(99)*-5)\/(sqrt(9) + -1*sqrt(144) + sqrt(9) - (sqrt(9) - (-2*sqrt(90) - sqrt(90))\/sqrt(10))).\nAnswer: -11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/3)\/(1\/(-4)). Suppose -4*q + 2*a + 14 = 0, -h*a + 14 = q - a. Solve -3*t + 5 + 2 = 2*j, 0 = 2*j - q*t - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106379052 less than -8266?\nAnswer: -1106387318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4405889 or 1\/2?\nAnswer: 4405889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175615.737 rounded to the nearest 10?\nAnswer: 175620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113406 - -39238421\/346. What is the common denominator of -43\/8 and w?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 80*w + 7. Let d(g) = 259*g + 21. Let j(x) = -13*c(x) + 4*d(x). Calculate j(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 5*w + 7. Let v(y) = y + 1. Let m(f) = f**2 - 12. Let s(x) = -m(x) - 4*v(x). Let n be s(-6). Let c(k) = -k - 9. Let q be c(n). Calculate a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118888 is divided by 508.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3068, 12237, 27524, 48935, 76476?\nAnswer: 110153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 470076 + -470071. Suppose 4*l - 9 = 3. Solve a + l = -0, 5*m - s*a = 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 46 = 10*p. Let d = 7 - 3. Solve -d*u + 13 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 7. Suppose 0*n + 0*n = -n. What is the remainder when g(n) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + u**2 + 5*u + 5. Calculate a(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 20*x**2 - 33*x + 228. What is t(-22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/75)\/(10\/75))\/(((-24)\/(-6))\/(-20))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = 43*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288.09 - -694204.49.\nAnswer: 694492.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7712, 7707, 7698, 7685, 7668, 7647, 7622?\n\"Answer: -2*y**2 + y + 7713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Let r(n) = -3*n + 7. Let u(b) = 7*h(b) - 3*r(b). Let f(i) = -4*i**2 + 8*i**2 - 2*i**2. Calculate u(f(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8315\/12 + 684. Find the common denominator of s and 121\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 54*p**2 + 3*p - 70. Determine b(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -40, -51, -64, -85?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17269\/19 - 909. What is the fourth smallest value in 3, d, 1\/10, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4074, 6263, 8454, 10647, 12842, 15039, 17238?\nAnswer: 19439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 220010*x + 42. Let j(q) = -1100051*q - 211. Let p(l) = -11*c(l) - 2*j(l). Let b be p(-5). Round b to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 500*l + 1203 - 19299 = 220*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 55. What is the remainder when 41 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53903891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53.801119 + -0.064881. What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -9.09. Let d = w + -8. Let y = -1 - -0.6. Put y, 2, d in increasing order.\nAnswer: y, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2255?\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/18*(-3)\/(-10)*1140\/152?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-3)\/60). Let x be ((-4)\/w)\/(5\/(-3355475)). Let g = x - 188438. Round g to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwwpwwvvpvwvwvvpvv. Give prob of picking 2 w.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = 1. Suppose 1 = 2*i + 3*x - 1, 2*x + 4 = n*i. Suppose -9 = -4*c - i. Is c greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0 + 36. Let a be (0 - (-5)\/(-15))*q. Suppose -4*y + 36 = a*n, 2*n - 1 = -2*n + 3*y. Solve -4*x = -6*x - n*p - 8, -x - 5*p - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*sqrt(5000) + -3 - ((sqrt(48)\/sqrt(4))\/sqrt(6) + (2 + sqrt(98))**2 + 1)).\nAnswer: -102 + 221*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 - 0. Let i be (4 + 0)*k\/(-4). Let j = -7 - i. Let g(o) = -o + 1. Calculate g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9991 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120222201210 (base 3) to base 16.\nAnswer: 4cd6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 167.0989cm?\nAnswer: 1670.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z - 15. Let i(k) = 3*k**2 - 6 + 0*k**2 + k**2 - 5*k**2 + 7*k. Calculate i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.156 - -0.256. Which is the nearest to d? (a) 0.2 (b) 1.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-15 + 11 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*k + 120 + 69 + 45. Solve 1 = -d, -k*d - 11 = -5*t + 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49 + (1 + -5)*(-11)\/(-11). Suppose 4*z = a + 23. Let t(s) = -29*s + 23*s + z*s + 2. Calculate t(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 36 = -7*w - 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248200 and 19546600.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/60 - 46*l**2. Let v(i) = i**2 - 57. Determine v(z(p)).\nAnswer: p**4 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15695 - 1649 - 1325)*(-2*u + 2*u + u)*(2*u + 2*u**3 - 2*u + (5*u**2 - u**2 - 2*u**2)*(1 - 1 + 2*u) - 2*u + 2*u + u**3).\nAnswer: 89047*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 73 - 21 = 0. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(9\/1529988) - (-10 + 6). Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 16*l**2 - 83*l + 204. What is t(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from ryi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*b - 2*b + 21, -3*x + 16 = -5*b. Sort -1, 2, -18, b in increasing order.\nAnswer: -18, b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/48 and 75\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/34, -219\/5, -1, -7, -5?\nAnswer: -219\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, s: 1, d: 3, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 + 8 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4336 and -389.\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4033 + 4038. Sort o, 102, 0, 1.\nAnswer: 0, 1, o, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 6061?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1213?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 7, t: 4}. Give prob of picking 2 t and 1 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345527 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 400525*b*s*v + b*s + b*v - 2868*b - 83*v wrt s?\nAnswer: 400525*b*v + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*p**3 - 4090*c*p**2 + 8*c*p + 13*c - p**3 + 3*p**2 - 2*p + 88 wrt p.\nAnswer: -6*c*p - 8180*c - 6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -15, -26*w + 23*w + 34 = -5*j. Suppose 88 = w*o + 76. Sort -5, o, -51 in decreasing order.\nAnswer: o, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z + 4*z - 3*z)*(4 + 2 + 0) + 355 + 45*z - 355 as x + n*z and give n.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -43.5. Which is the third smallest value? (a) -2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.4 in 5, 0.4, 1\/2, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*((((sqrt(150)\/sqrt(3))\/sqrt(10) + sqrt(5))*3)**2*-3 + -3) + 4).\nAnswer: -9798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -22. Suppose 0 = -3*f + 3*z + 2*z - 2, 4*f = 5*z + 4. Solve 0 = -3*t + k*a + 3, -2*a = -5*t - f*a - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45952 - -46065. Which is smaller: -28 or d?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*s - 5729 + 479 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 24*j**2 + 131*j + 115. Give g(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 83.34, -8\/19, 2\/3 in descending order.\nAnswer: 83.34, 2\/3, 2\/21, -8\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.373067 hours to nanoseconds.\nAnswer: 1343041200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t + 20. Let o = t + 0. Solve a + 25 = -o*a, -a - 5 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*w - 956, 0 = -5*w - 4 + 29. Let c = y + 6347\/13. Is c at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002844 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -24\/7. Which is the fourth smallest value? (a) -0.5 (b) 0.35 (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 95*z + 53 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 75*c = -75 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 2\/31 (d) 1\/5 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**4\/12 + 16*i**3\/3 - 16*i**2. Let h be a(8). Calculate the greatest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 652639806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)\/((d*d**28*d)\/d)*(d\/(d*(d*d**(-11))\/d))**(-2\/5))**50 assuming d is positive.\nAnswer: d**(-2570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/5)\/s))**50\/((s\/s**(4\/3))\/s**(-16)))**(1\/38) assuming s is positive.\nAnswer: s**(313\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(204)*-3)\/(sqrt(144)\/(sqrt(108)\/sqrt(9))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -o + 6, -o + z = -17 + 7. Let c = o - 6. Suppose -c*k + 72 = k. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7850764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17605109511 - -0.1.\nAnswer: -0.07605109511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*u = 84*u + 1048. Which is bigger: u or 130?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12804296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 4 - 4. Suppose -3*j - 3*s = -m*j - 1104, 2*j - 733 = s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (6 + (-8 - -4)) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -231*(-1)\/12 - (90 - -6)\/(-12)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from uuixxxxxiui.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 4. Suppose 0 = 4*c + 5*q - 4, -q + 1 = c - n*q. Suppose 0 = z + c - 10. Solve -z = t - 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 85. Determine c(30).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-8)\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15595*q - 4 = -o + 15591*q, o - 5 = -5*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 39*v + 33*v + 36 = 0, -2*v = -t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 129 - 9 = 0. What is the remainder when (2\/10)\/((-17)\/(-7565)) is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*8\/120*10\/(-14). Determine b so that 3\/7*b**2 + 0 - f*b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let n(p) be the second derivative of -p**5\/20 + p**4\/3 - p**3\/3 - p**2 - 3*p. Let k be n(2). Let u(s) = 5 - 5 - k*s**2 + 0. Determine r(u(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + 2 + (0 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 + -2 - 5\/(-15))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403733?\nAnswer: 3, 107, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.0357, -6, 281.1?\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(-2)*30\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 703971?\nAnswer: 53501796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 2. Let z = v + -19. Let x = -142\/195 + 4\/65. What is the third biggest value in x, z, 4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:19 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 39 = -9. What is the greatest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3141837 rounded to the nearest 10000?\nAnswer: -3140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 234, 975, 2544, 5247, 9390, 15279?\nAnswer: 23220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/24 + 7*t**3\/6 - 2*t**2. Let h be p(-7). Suppose 3*g = 30 - h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:30 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 295548?\nAnswer: 295548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209706 is divided by 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = 115. Calculate the least common multiple of 9 and u.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872552.75 rounded to the nearest one thousand?\nAnswer: 3873000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25253648179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 8*l + l + l to the form z*l + a and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - (948\/(-7))\/12. What is the smallest value in v, -0.1, 1274?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069785993?\nAnswer: 3, 356595331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 30 - 64)*(3 - 3 - 2*j) in the form h + w*j and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/13)*f**(-1\/9)*f*f)\/(f**(2\/13)*f)**(6\/13) assuming f is positive.\nAnswer: f**(1595\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 13) to base 5\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34867302*c**3 + 2*c**2 + 1258*c - 3894 wrt c?\nAnswer: 209203812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 9 - 2*p + p**2 - 6*p**3 + 4*p + 24 - 13 as y*p + z*p**3 + f + d*p**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 9*v + 10. Let z = -23 + 26. Let a be g(z). Solve -1\/2*h**3 + 3\/2*h**2 - 1\/2*h**4 + a + 5\/2*h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 1, j: 1}. What is prob of sequence pi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l + 10 = 0. Suppose l*z - 380 = -2*z. Is z a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 979*j*k**5 - 146*j*k**3 - 154*j*k**2 - 2*j*k - j - 13*k**3 - k**2 + 3231*k wrt k.\nAnswer: 58740*j*k**2 - 876*j - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.4. Let g = 13.8 - 8.8. What is the closest to s in g, 6, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 40100\nAnswer: -360900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7205*l + 481 - 225 - 256 as o + h*l and give h.\nAnswer: 7205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*o - 26 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 137576, 550232, 1237992, 2200856?\n\"Answer: 137552*c**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 38*h**3 + h. Let o be g(1). Suppose -6 = -v + o. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u - 1056 = 6*u - 31*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 7. Let b = 12 - a. What is the remainder when 168 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbr when three letters picked without replacement from zmmzmzzbzrzd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l**4 + 330*l**3 + 760*l**2 - 1290*l + 225 = 0.\nAnswer: -3, 1\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i - 9. Let t be w(-7). Let f be (-2 + 3 + -2)\/(t\/60). Let v = -26 + f. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o + 14. Calculate the remainder when 44 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263926 and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235828 by -8.\nAnswer: 58957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3662 divide 347922655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((268*f - 183*f - 257*f)*(-4*f - 2*f + 4*f)*(-4 + 4 - 2) - f**2 - f + f)*(3*f - 3*f + f**2).\nAnswer: -689*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7331 divided by 15917.\nAnswer: 7331\/15917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9.3. Sort 3\/7, -1, f in descending order.\nAnswer: 3\/7, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 463 - 466. Let u = 6 + -14. Let i be (-5)\/(-42) - u\/48. Which is the closest to i? (a) -0.1 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 3*j**2 - 4*j - 1. Let b be v(2). Suppose b*a - 1232 = 605. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -682, 142, -4, 3, 4, 5 in decreasing order.\nAnswer: 142, 5, 4, 3, -4, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + q = 5, 0 = -10*z + 7*z - 5*q - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1057?\nAnswer: -1\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a hour in minutes?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let f = 10\/19 + -1\/38. Let l(k) = k**3 - 3*k**2 + 7*k - 6. Let z be l(2). Which is the nearest to f? (a) z (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3284.265 - 0.4\nAnswer: -3284.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 6*s - 2*s, -4*s = -l - 12. Suppose 3*i - 4*g = 16, -s*i - 16 = -g + 5*g. Solve 2*k + 4*z + 12 = i, 2*z = -0*k + 3*k - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3602447 and 38\/25217129?\nAnswer: 25217129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 - -147. Let j be (0 + (-27)\/(-15))*(-40)\/p. Solve -5*v - 12 = j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y - 37*y**2 + 34*y**2 - 30*y. Let b(p) = 3*p**2 - 17. Let n(s) = -s**2 + 6. Let c(f) = -6*b(f) - 17*n(f). Determine 13*c(v) - 6*t(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2*-1 - 90\/(-30). Suppose -11*w + 16*w + 180 = l. Let j = 43 + w. Is j != 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-14\/5)*s)\/(s*s**(-14)*s))\/(s**(1\/19)*s**(-1\/7)\/s) assuming s is positive.\nAnswer: s**(7508\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:24 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151680 and 131200?\nAnswer: 31094400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 6*b. Suppose 282 = 15*a - 9*a. Suppose 0 = 16*m - a - 49. Let r be c(m). Solve r = -5*u + l + l + 19, -2*u = -5*l + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559739 + 6\nAnswer: 559745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -504, -1217, -1940, -2679, -3440, -4229, -5052?\n\"Answer: -d**3 + d**2 - 709*d + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5905882 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = 3*z. Suppose -3*v + 37 = 5*g, -3*g + 2*g - 3 = -z*v. Solve v*i - 6 = 5*m, 4*i = -0*i - m + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105979076.5 rounded to the nearest one hundred thousand?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-324)\/78 - 3\/39*-2. Let n = -1 + 1.1. Which is the second biggest value? (a) h (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108452.7 * -0.4.\nAnswer: -43381.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.59 - -98. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -702 - -706. Solve -h = -3*r - 4*m, 2*r - 2*m + 2 = -0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 4131*n**2\/2 - 8*n - 105. Is d(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/13 + -68\/91. Let k = 48.9 + -49. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-168))\/(26\/117)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207566840 a multiple of 5672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 4) to base 6.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127590029 to the nearest integer?\nAnswer: 11296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 - ((-144090)\/5145 + 16). Let t be ((33\/12)\/(-11))\/((-2)\/(-8)). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52401052 - 25?\nAnswer: -52401077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668 + -542 - (4 - -88).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-9)*q\/q**6)\/(q**(-1\/7)\/q**(-9)) assuming q is positive.\nAnswer: q**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686996 - -1053896. What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/3 - 7130*i**3 + 85571*i**2\/3 - 35656*i + 42788\/3 = 0?\nAnswer: -21394, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = -3*s, -5*i + 3*s = -56. Calculate the greatest common divisor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 70*h - 766. What is the remainder when i(-86) is divided by 189?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let t(z) = -z**2 + z + 12. Let f be t(0). Let p be 68\/(-18) + f\/(-54). What is the third biggest value in 4\/5, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 23*z - 202. Let f be c(6). Put 5, f, 0, -4 in decreasing order.\nAnswer: f, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*1*(-67)\/(5092\/(-152))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 0*h)*(-h + 0*h - h)*(-3*h**2 - 3*h**2 + 5*h**2).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 514\/625075?\nAnswer: 514\/625075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/16 - -51\/80. What is the second biggest value in c, -4, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665.\nAnswer: 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37039\/10 + 3711. Calculate the common denominator of y and ((-172)\/18)\/((-12)\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 172861.8ml?\nAnswer: 172.8618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.188 and 24707.183.\nAnswer: 24706.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38817763?\nAnswer: 4049, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 z when three letters picked without replacement from gmnzzzzezggmzgmeznyz.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z + 4*z**3 - 18*z**2 + 4*z**3 - 15*z**3 + 9*z**3 in the form h*z**2 + a*z**3 + k + b*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018038044 rounded to 5 dps?\nAnswer: -0.01804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/30, 1\/2, 1, 1\/5?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-1 - -6)*1. Let p(m) be the first derivative of -m**4\/4 + 2*m**3 + 7*m**2\/2 - 7*m - 8. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 2*y - 4. Let o(t) = 2*t**2 - 2*t - 3. Suppose 8 - 3 = p. Calculate p*o(m) - 4*n(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 14 - 14 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -900, -819, -718, -597, -456, -295, -114?\n\"Answer: 10*d**2 + 51*d - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 4, 1, -4?\n\"Answer: -m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*u - 481 = 4*u, 0 = -z - 3*u + 112. Let q = -82 + z. Find the third derivative of c**5 + q*c**2 - 51*c**2 - 15*c**6 - c**5 wrt c.\nAnswer: -1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169750478?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4 - 374584*c**3 - 23334993180*c**2 - 480341303458200*c + 197391927786972750 = 0?\nAnswer: -62565, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 142*v + 4. What are the prime factors of l(7)?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404870?\nAnswer: 2, 5, 40487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 338*x - 40*x**4 - 338*x + (5*x - 5*x - 2*x)*(-x**3 + 0*x**3 + 2*x**3).\nAnswer: -42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = 4*i - 5*i. Suppose 6*g = i + 595. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552784 by 69098.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 41*c - 585. Give v(19).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 5728500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94691, 189291, 283799, 378215?\n\"Answer: -46*u**2 + 94738*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3080*t - 49513. Calculate p(-16).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -49417\nAnswer: 2\/49417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/(-4) + 6\/4. Suppose b - 2*l - 11 = 0, 2*l + i = 2*b - 0*l. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 73, 3, -1, 17\/5, -6\/19, 5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*sqrt(405))\/(sqrt(135)\/sqrt(3) + sqrt(45) - sqrt(45)))\/(2*sqrt(363)*2*4).\nAnswer: -sqrt(3)\/44 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543114 divided by -30.\nAnswer: -90519\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - 92539?\nAnswer: -92578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*t - 30 = -5*y, 4*y - 9 = -t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21032806, -21032807, -21032808?\n\"Answer: -w - 21032805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -418 - 680231?\nAnswer: -680649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962969719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078378 divided by 4?\nAnswer: 1039189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*r + 16*r**2 + r**2 - 360*r to the form d*r**2 + v + i*r and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2665.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4508 is divided by 168?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8085793948?\nAnswer: 2, 4019, 502973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2679 + 6.2679. Let k = 0.04 - -0.06. What is the second smallest value in -6, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -11, -505 in increasing order.\nAnswer: -505, -54, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*z + 24997 - 43351 - 42222 = 1807*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 20 = -5*a, -5*y = 4*a - 40. Suppose -2*r - l = 3*l - 102, -y*r + 177 = -l. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.7, -2\/3, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let i = -5 - -15. Let d be (-5)\/i + 15\/6. Solve 0 = 4*y + q - d, z*y - 1 = q - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 846470.\nAnswer: 9311170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + sqrt(325) + -1)*-3 + -6*-3*sqrt(325))**2.\nAnswer: 360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 46, 63, 76, 85?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -24.749318\nAnswer: -98.997272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 43. Let i be (-3)\/x + 1\/4. Let m = 2 - 0. Put i, m, 3 in ascending order.\nAnswer: i, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/161980 and -29\/2.\nAnswer: 161980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5285 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21892 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let s be h(5). Let k(f) = 4*f - 4. Let o be k(s). Solve -a + o = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.5 - -39.5001016. What is x rounded to 6 dps?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 35*q**2 - 967*q - 128. Determine d(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 3:02 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 336493.2 micrometers?\nAnswer: 336493200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*u*u**(2\/23)*(u\/(u\/(u\/u**(2\/5))))\/(u*u**(-7)\/u) assuming u is positive.\nAnswer: u**(2034\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 386459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -738*l + 746*l. Which is greater: l or -15\/26?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -10, -5, 0.08, 5, -84\/17, -3\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -50, 5, 1, 37, -3 in increasing order.\nAnswer: -50, -3, 1, 5, 15, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 205.5, -0.679 in ascending order.\nAnswer: -0.679, 26, 205.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 3*u**4 - 2 + 3*u + 15*u - u**2 - 18*u in the form g*u**3 + o*u**2 + n*u + k + q*u**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - l = 47*x + 1007, -1366 = -4*x - 2*l. What is the remainder when x is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*10\/(-4)*-2. Let t(w) = w**2 - 9*w - 17. Let l be t(12). Let z = l + i. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3843463\/132 - 29117. What is the common denominator of 50\/3 and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304.6272 + -0.0872. Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 8 - 35*n**2 + 18 + 17 - 45 + 19*n**2 - 4*n**3 to the form a*n**2 + u*n + b + p*n**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00304587 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 5. Let v be c(0). Let j be v\/(15\/(-12)) + 14. Factor 4*t - t - 4*t**2 - 9*t**2 + j*t**2.\nAnswer: -3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2706 + 2698. Sort 2, t, 1, -2, 3.\nAnswer: t, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*(sqrt(119)*2 + sqrt(119)))\/(-1*sqrt(7)*-4))**2 + 2)*-1.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 - 5103*d**4 - 48110563*d**3\/3 + 27841078711*d**2 - 166902079336*d\/3 + 27808989692 = 0. Calculate d.\nAnswer: -8266, 1, 1221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -97003 - -3 - (1 + -1). Round s to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*y + 26*g - 30*g, -21 = 2*y + 3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 260886 and 92.44?\nAnswer: 260793.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**6\/a))\/a**(-3)*((a*a*a**1\/a*a)\/a)**(4\/17))**30 assuming a is positive.\nAnswer: a**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**7\/210 + m**6\/60 + m**5\/60 + 8*m**2. Factor q(f).\nAnswer: f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 21 - 12. Which is greater: 10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -36. Let i = m - 13. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 - 5*l - 1. Let a be o(3). Solve 7*k - 4*k + 10 = a*p, 4*p + 5*k = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17979*z**5 + 9563*z wrt z?\nAnswer: 359580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s + 75076 - 74788 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62031.\nAnswer: 3, 23, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Suppose 0 = 4*m - u - 60. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 45 = 35. Suppose z + 4 = -2*g, -5*z - 20 = -0*g + d*g. Suppose g = -0*n + 2*n - h - 9, 24 = 5*n - 4*h. Solve -l = -n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 6. Let g = u + 4. Suppose -2*m - g*b + 21 = 0, -m + 3*b + 10 = 5*b. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*l - l**3 + 2*l**2 - 31*l + 53*l to f*l**3 + c*l**2 + b + x*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 92 - 523 = 24*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/((-4455)\/(-88))*-39.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let d be m(0). Suppose -2*g + 2 = -4*t, d = 4*t + 5*g - 0*g - 33. Which is the smallest value? (a) t (b) 1\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-12)\/(-30) - 222. Let o = 227 + u. Solve -11 = -4*v - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169\/2 at most as big as 586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**3 + 65*u**2 + 55*u + 10 = 0. Calculate u.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 45\/10)*(-256)\/(-24). Solve -s = 2*m - 5*j, 4*j = -4*m + 7*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -264*k**2 - 1851*k + 4. Calculate w(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 68*t**2 - 66*t - 1. Give a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145588*g**2*p**2 - 285*g - 24*p**2 wrt g?\nAnswer: 291176*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/(759\/(-414))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31338941 + -16089941. What is d rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 500998*c. Let l(f) = 13*f. What is l(q(h))?\nAnswer: 6512974*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6801*t**2 + 4*t + 5. Let w be 6\/4*(38 - (6 + -2)). Let f = w + -46. Let q be o(f). Round q to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11372804 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 6, 19, -19, 16 in descending order.\nAnswer: 19, 16, 6, -1, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c + 80. Let o = 59 - 65. What is the smallest common multiple of m(o) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from czjzj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 102*s**3 - 2788*s**2 - 9114*s + 12005.\nAnswer: -(s - 1)*(s + 5)*(s + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113.7 + -1.7. Let a = 111.99999595 - p. Round a to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 6:14 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b - 12006?\nAnswer: -11b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3289223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9 + 0 - q - q**2 - 5*q - 2*q. Let m be p(-9). Solve -2*w - 3*z - 7 = 0, w + m*z = -5*z - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llyyllllllllllylp. Give prob of picking 2 l.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0665952 times -12?\nAnswer: 0.7991424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i + 16. Let g = -5 - i. Let p(s) = -12*s - 1. Let j be p(g). What is the highest common divisor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3321 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 90?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9772 = -316*z + 320*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 10) to base 13.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by -1025.\nAnswer: 177\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-24 + 29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 8*p**2 - 8*p - 5. Let v be k(9). Suppose v*z - 2*z = 18. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, i: 14}. What is prob of picking 2 v and 1 i?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - (2 + 3). Let d = -8 + 9. Put d, -5, j in increasing order.\nAnswer: -5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 1 - y**4 - 6*y - 1 + 12*y**2 - 2*y**3 - 4*y**2 in the form t*y**2 + a*y**4 + i*y + x*y**3 + z and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.25 + 0.25. Let s = -11 - g. Let b = 0.949 + s. What is b rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -382 - -7b?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {b: 2, k: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-4 - -2) + 2. Suppose q*p = 2*p. Let c(j) = -3*j + 2. Let x(y) = y + 1. Let k(z) = -c(z) - 4*x(z). Give k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 12257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**2 + 9*j + 4. Suppose -4*y + 1 - 21 = 0. Let u(c) = -15*c**2 - 14*c - 6. Determine y*u(h) - 8*n(h).\nAnswer: -5*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 17. Suppose 0 = 5*i - 112 - 108. Calculate the common denominator of (i\/k - 2)*18\/8 and 56\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 divided by -322063?\nAnswer: -1033\/322063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1713712, -1713711, -1713724, -1713757, -1713816, -1713907, -1714036, -1714209?\nAnswer: -1714432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 6. Let i be y(-7). Let u = -0.2 - 0. Put i, 0, u in increasing order.\nAnswer: i, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-558)\/(-18))\/(-62)*20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/970 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5 + 4*t**4 - 44*t**3 - 26*t**2 + 153*t - 90 = 0.\nAnswer: -10\/3, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(117)*-3)**2 - -2*sqrt(13)*-4*-1.\nAnswer: 62*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58 - 0.38. Put -1, x, -17 in ascending order.\nAnswer: -17, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 + 13. Let v be f(-3). Let u(w) be the third derivative of -w**6\/120 - w**5\/10 - w**4\/6 + w**3\/3 - 3*w**2. Determine u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1646.3 * 0.3.\nAnswer: 493.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-27)\/18)*-40. Calculate the highest common factor of 170 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 14 + -5 + -106\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391416378?\nAnswer: 2, 3, 19, 3433477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - h + 16 = 11*p, 57 = 2*p - 3*h. Solve -37 - 26 = p*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*z - 22, -5*k = -0*k - z + 14. Let u(m) = m + 7*m - 2*m - 5*m. Let v be u(k). Put v, -3, -1 in decreasing order.\nAnswer: -1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 670646316*c*h**2 - 1507*h**2 + 2*h - 1180 wrt c?\nAnswer: 670646316*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.32437452 rounded to 3 dps?\nAnswer: -6.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 405857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 4*j + 10 + 8 - 7. Is 16 a factor of b(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 - 5 = 0. Let a(l) = -3*l**3 - 7*l**2 + 3*l - 11. Let m(v) = 2*v**3 + 5*v**2 - 2*v + 6. Let w(s) = 3*a(s) + 5*m(s). What is w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1132 + -1127. Solve 640 - 625 = v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4203473 is divided by 1401153.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2212 = -2*j - 12*j. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*(-3 + 8). Let c = y - -1. Solve 5*z = -c*o - 16, -z - 2*o = -4*o - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -433*u**2 - 13288*u - 21207. What is l(-29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let h(y) = -6284*y + 2. What is h(u(p))?\nAnswer: -12568*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -46. Suppose -4548 = -17*p + s*p. Suppose -20*l = -22*l + p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 8 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 26. Let m(h) = 18*h**3 - h**2 - 2*h + 2. Calculate the remainder when 65 is divided by m(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:26 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6713142000 to the nearest one million.\nAnswer: 6713000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2780116545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -58 + 34. Let w be (6 - -1) + (12\/t - -1). Suppose w*j = 10 + 15. Solve 0 = j*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2755\/2 + 1332. Find the common denominator of ((585\/52)\/(-9))\/((-1)\/(-30)) and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 22 + (13 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451152 and 1446.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 205 - 86 = 0. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*f - 2*f. Suppose f*g = 16*g - 6. Suppose -475 = -4*k + 2*c - 171, -g*k + 158 = 2*c. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 - 12) + (-19 + -1 - -54)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 2*p - 9. Let f(s) = -s + 10. Let t be f(7). Let m be (-6 + t)*-2 - 3. Suppose -13 = -m*q + 8. Calculate j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 10. Suppose j = -q + 9, -3*j + q + q + 22 = 0. Let h be p(j). Let n be 13 + (-4)\/((-4)\/(-3)). Calculate the greatest common factor of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/21703213 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -203462?\nAnswer: -4\/14533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(693\/(-6)))\/(-4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + (1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2450.133 times 0.159\nAnswer: -389.571147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**4 - 2*u**3 + 4*u**2 + 2*u. Let p(o) = -3*o**4 - 3*o**3 + 3*o**2 + 3*o. Let s(i) = -2*p(i) + 3*q(i). Find the third derivative of s(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -471 - -57. Let b = i - -415. What is the closest to b in -4, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204) + sqrt(204) + 1*sqrt(204)))*3))\/sqrt(12)*3*4.\nAnswer: 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 65?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {p: 1, i: 1, j: 1, d: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138\/33 - 8\/44. Suppose 3*j = b*j - 3. Suppose 5*r - j = 6*r. Is r <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2818270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 222 = -x. Suppose -4*j - x + 53 = 0. Solve -5*s = -3*a + 17, 4*a + j*s = a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1624872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4836588 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*r = -8, 2*b - 4*r - 4 = 6. Is 4 + (4 - b) + 288 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -2 + 4*-1. Let s be (-3 - -1)*k + 16. Solve s = -4*y - 2*q, 0 = -3*y - y - 3*q - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 2*p**2 - 10*p + 9. What is n(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.1 (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**2 + 13 + 3*q - 27\/16*q**4 - 3\/4*q**3. Solve z(t) = 0 for t.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 14 + 1 + -11 + (-6 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -33. Let y = 258.3 + -258. Let c be 1\/6 + (-2)\/(-4). What is the third smallest value in y, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y**4 - 18*y**4 - 41*y**3 - 17*y**3)*(19*y + 117 - 117)*(-3 + 2 + 2).\nAnswer: 19*y**5 - 1102*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 27. Let l = 22 - q. Let r = -163 + 168. Calculate the greatest common divisor of r and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**2 - t - 1. Let k(h) = 3*h**2 + h. Let d be k(1). Let m(v) = -7*v**2 - v - 2. Let y(r) = d*m(r) - 5*u(r). Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -215248\nAnswer: 1\/107624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*a + 6622 = -363*a - 1229 - 6039 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 10*s**2 + 2*s - 7. Let k be d(-6). Calculate the highest common factor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318*k + 226533 = -2349*k - 140167 for k.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 12, -7 in descending order.\nAnswer: 12, -7, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3188 + 1299. Is c a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3790210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7199579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45137030, 45137031, 45137032, 45137033?\nAnswer: 45137034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 48. Let w = l - 2. Let m = w - 30.8. Which is the closest to 0.1? (a) 2\/7 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-38)\/m**38*m\/(m*m**(-24))*m**17 assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 15 - (33 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5249.\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.673 millennia in centuries?\nAnswer: 2256.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2*b**6\/3 + 8*b**3\/3 + 8. Find the third derivative of c(s) wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -19, 10, 1640, -1 in ascending order.\nAnswer: -19, -3, -1, 1, 10, 1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 6704271?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7909, 7900, 7841, 7696, 7429?\nAnswer: 7004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 43 - 40 + 39*z.\nAnswer: 39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 + 6 - 6*c + 9*c**2 - 2 - 16*c**2 - 6 as l + t*c**2 + v*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 - u - 2. Let b be w(3). Let g(j) = -j + 4. List the prime factors of g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/40 - 59*k**5\/60 + 83*k**4\/24 - 7*k**3\/2 - 9*k**2 - 6*k. Factor y(j).\nAnswer: -(j - 1)*(j + 21)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29\/2 - 72\/5. Let s = 44 - 93\/2. Sort s, 0, c in decreasing order.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*2*3)\/(sqrt(96)\/sqrt(12))*5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/4 - 7*i. Let l(x) = -x. Calculate l(h(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24798359 to 3 decimal places.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*0.027\nAnswer: 0.00945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010100110001100111 (base 2) to base 5.\nAnswer: 411023314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5074538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 19950, 7 in descending order.\nAnswer: 19950, 7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1632\/(-21))\/(8\/(-112)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + 4*v**2 + 3*v - 3. Let o be z(2). Sort o, 4, -4 in descending order.\nAnswer: 4, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:58 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8 - 1 + 2*g**2 + 0*g + 0 - 8*g. Suppose -5*h + 0*h - 4*n = -27, -5*n - 10 = 0. Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v + 8. What are the prime factors of m(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25058121449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -40*s - 141*s - 130*s - 12*s - 20*s. Let j(x) = 14*x. Give q(j(y)).\nAnswer: -4802*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 22. Suppose -193*u + 76*u = -1404. Give b(u).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1304 and 85\/4.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.6 != 178.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 2 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.71 - -23. Let i = t + 0.01. Which is the nearest to -1? (a) 0 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/30*(-6 + 516\/(-24)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1373 - 1366. Solve 3*i + 12 = -2*q + 6*i, q + 5*i - b = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81130 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 0*h**3 + 2*h**3 + (-2 + 2 - 2*h**2)*(-8*h + 480 - 480) to m + p*h + t*h**2 + r*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(14\/9)\/l**(1\/9))**13 assuming l is positive.\nAnswer: l**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*i - 247, a - 4*a + 741 = -i. Suppose 0 = -3*q - 4*c + a, 5*c + 5 = -20. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d - 19a9?\nAnswer: -190b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 34*h - 25*h - 2*h - 7*h + 58.\nAnswer: 7*h**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47972\/9 - -5330. Let i = 4 + -3. What is the second smallest value in 1\/6, q, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + k + 4*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 - 5*d. Let x(a) = -a**3 + 8*a**2 - 6*a - 3. Let h be x(7). List the prime factors of c(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**2 - 4*b + 6. Let t(z) = 26*z**2 + 11*z - 17. Let f be 66\/4*(-6)\/9. Let x(c) = f*u(c) - 4*t(c). Differentiate x(k) wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1302568, -10420567, -35169418, -83364547, -162821380?\n\"Answer: -1302571*o**3 - 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.67 + -11.147. Let j = v + -4.5. What is j rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/3 + 7\/2. Let v = -0.3 - -0.1. Sort z, v, -5 in decreasing order.\nAnswer: z, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/6 + v**3\/3 + 3*v**2\/2 - 16*v. Suppose 5*l = 4*m + 6 + 38, l + 3*m - 5 = 0. Is o(l) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 58. Let m be s(0). Let b = 84 - m. Calculate the highest common factor of b and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -1401*q**5\/5 + 443*q**3\/3 + 1468. What is the third derivative of d(a) wrt a?\nAnswer: -33624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2378 + 5302. List the prime factors of j.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -45)*(6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6351189.\nAnswer: 3, 13, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3*-7*(-99)\/1540)\/(42\/2072)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v - 39. Calculate x(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Let p be (g - 6\/(-15))\/((-7)\/(-35)). Solve -3*m + 20 = p*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 43. Let w be ((-3)\/j)\/(-1) + 96\/20. Let x be 149\/w - 23\/(-115). Calculate the greatest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2709.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -1\/12*d**4 - 5\/3*d**3 - 3*d + d**2 + 0. What is the remainder when 52 is divided by l(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/5*(-4560)\/5016\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/6*u**4 + 0*u + 0 + 2\/3*u**3 + 2*u**2. What are the prime factors of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -38 (c) 4 (d) 29 (e) -4\/7 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*n - 22 = 0, 8 - 12 = 4*r - 4*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37\/3 + 13. Which is the closest to l? (a) 0.5 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 - 7.9. Let h = -2\/113 - -119\/339. What is the smallest value in u, -1, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 1.43, 3, -0.7.\nAnswer: -4, -0.7, 1.43, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -717 + 1247. What are the prime factors of u?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107655543 divided by -35885181.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 5}. What is prob of picking 1 i and 3 q?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -21. Which is the nearest to 0? (a) -0.1 (b) 0.06 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + -13 + -2 + 30\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007256 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -3.01. Suppose -o + 2 = 3. Put o, 0.4, x in descending order.\nAnswer: x, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021*4.03\nAnswer: -4114.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*q**2 - 21*q**2 - 32*q**2 - 30*q**2 - 92*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20620026 or 20620022?\nAnswer: 20620026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 788891219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -4. Suppose -p*x - 95 = q, -2*x + x - 45 = -4*q. Let n = x - -25. Solve n = -5*u - 4*c - 24, u + 5 = -0*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 342*d + 3*d**2 + 2 - 351*d.\nAnswer: 3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2*p + 4. Let f(u) = -u + 2. Let y = 35715 - 35719. Suppose 3*x = 31 - 10. Determine x*f(a) + y*t(a).\nAnswer: -4*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*t + 30192 = -33*t. Calculate the greatest common divisor of 168 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1031, -3 in ascending order.\nAnswer: -3, 10, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 6210.\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y**3 - 24*y**2 - 102*y - 69. Determine j(-4).\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 624325726*q**3 - 2*q**2 + 395521*q - 242 wrt q?\nAnswer: 3745954356*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o + 11*o**3 + 13*o**3 - 2*o**2 + 1 - 23*o**3. Suppose -a + f = 0, -2*a + a = 2*f - 12. Determine u(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*g**5 - 9*g**5 - 14*g**5 - 4*g**4 - 3*g**5 + 4*g**4 + (3*g**3 - g**3 - g**3)*(2*g**2 - 2*g**2 - 3*g**2).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*n - 3, 3*w - 3*n = -8*n + 27. Find the second derivative of -5 + w*v + 2*v**4 + 5 - v**4 wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 54*q - 111. Determine a(-4).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 + -1311\/7. What is the second smallest value in 1, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-104))\/((-7)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6604883, -1, 48, 3\/5 in descending order.\nAnswer: 6604883, 48, 3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/7 - 1874*s**3 + 26240*s**2\/7 = 0?\nAnswer: -13120, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46472 and 2357?\nAnswer: 109534504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1309722969 divided by 503\nAnswer: -2603823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + -1000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 5*a + 8*a. Let l(z) = -20*z. Let r = 1 + 10. Let c(k) = 4*k. Let w(q) = r*c(q) + 2*l(q). What is w(o(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l - 55*l + 5181 = -95*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -56661684 and 660060.\nAnswer: -56001624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r. Let s = -0.08 - 4.92. Let h = -6 - s. Which is the nearest to h? (a) -3 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 15\/(-4)) + 2\/8. Suppose 0 = g*t + 2*t - 20. Solve 9 = -t*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -21 in decreasing order.\nAnswer: -3, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2223017 is divided by 363.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108044 is divided by 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/1803 (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.5, -1 in decreasing order.\nAnswer: 30, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 - -8.8. Which is bigger: s or -8636?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 - 7*s - 3*s**2 + 7*s + 10 as f*s**2 + z*s + a and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 40*c**2 - 172*c - 182. What is l(44)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose 2*h = 2*l, q*h = h + 3*l - 8. Solve -5 = 3*x - h*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078556740 to the power of 1\/2, to the nearest integer?\nAnswer: 84134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -6*m**7 + 7*m**4\/4 + 707*m**3 - 2235. Find the third derivative of u(q) wrt q.\nAnswer: -5040*q**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 453*r + 5430. Let s be z(-12). Sort -5, -26, -8, s, 3 in decreasing order.\nAnswer: 3, -5, s, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 2. Let t(x) = -3*x - 4. Let y(f) = 5*d(f) - 3*t(f). Let c be y(-16). Suppose c + 22 = 5*g. What is the lowest common multiple of g and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:05 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 124 = 20*g, 11*a + 2*g + 65 - 27 = 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 2*q - 9*q - 2)*(-6*q - 36*q - q - 40*q).\nAnswer: 415*q**2 + 166*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12582930?\nAnswer: 2, 3, 5, 59, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 8. Let f(m) = -m - 3. Let y(b) = 11*f(b) - 4*n(b). Let w be y(2). Solve 5*o = -w - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 321523?\nAnswer: -11\/321523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/18 + 20*t**3\/27 - 4*t**2\/9 - 80*t\/9 - 728. Suppose z(q) = 0. What is q?\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 1, w: 2, b: 3}. What is prob of sequence ac?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c**3 + c**2 + 2*c + 2. Let x be w(-1). Solve 0 = 6*j + x + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -39. What is the remainder when u is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 572\/(-26) - 174\/(-14))\/(204\/14)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))**(-5))**(10\/7)\/(v**(2\/11)\/v**8)**(-9\/4) assuming v is positive.\nAnswer: v**(-387\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 121\/3. Which is the closest to l? (a) -5 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 894617 = 894768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iiiiiivivi.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*(2 - 1). Let s(v) = 2*v - 24. Let u be s(13). Let g be -3*u\/3 + 9. Solve -1 - q = -k - 3*p, g = 3*k + 4*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**2 - 5*k - 21*k**2 + k**3 - 2 + 11*k**2 - k**4 to the form b*k**4 + f*k**3 + g + x*k**2 + s*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34352296, -34352299, -34352302, -34352305, -34352308?\nAnswer: -34352311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194783727 to the nearest integer?\nAnswer: 13956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -39*q**3\/4 - q**2\/8 + 514. Factor g(r).\nAnswer: -r*(117*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 335*m + 704*m - 422*m + (-5 + 5 - 6*m)*(-1 - 4 + 4))*(2*m**2 + 3 - 3) as j*m + q*m**3 + d + t*m**2 and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -48 (b) 9 (c) -3 (d) 0.8 (e) -0.06 (f) -0.07 (g) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35915 - -12508. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h*t**3 + 43*h*t + 6*h wrt t?\nAnswer: -78*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 + 43*m**3 + 39*m**3 + 2*m**2.\nAnswer: 69*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -619.1 + 81.1. Let t = c - -537.99601. What is t rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21613845 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -800*x**2 - 3215*x + 103. Determine f(-4).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/4 + 2007*a = 0.\nAnswer: -8028, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 13, 1\/7 in decreasing order.\nAnswer: 13, 1\/7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 436*z + 51045 = 438*z, -3*f + 153115 = -4*z. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 126 + -111 + (-1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h**2 - 2. Let l be i(-2). Suppose -67 = -5*k - l. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2303 = 119*t - 1085 + 2471 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 36*l + 3685. Let w be r(-98). Solve 5*a - 5*i - 5 = 0, 4*a + w*i = 160*i + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50399027.\nAnswer: 7, 7199861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + (-80)\/(-15). Suppose -v*t + 2455 = 5*o, 1 + 2 = o. Suppose u + 2*u = -2*f + t, 0 = -2*u - 8. Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 3*n**2 - 28*n**3 + 21*n**3 - 3*n**2 + 2 as j + l*n**2 + z*n + u*n**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-7)\/w*w))**(-36)\/(w**17*(w**(-7)*w)\/w) assuming w is positive.\nAnswer: w**(-298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2458 + -2422 - (100 - -1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**2 + 2 + 9*a**4 - 4*a**2 + 2*a**3 + a - 11*a**4 as d*a**3 + z*a**4 + b + q*a**2 + v*a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-9))\/((-60)\/(-72))*72*10\/(-800)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5418*-0.05.\nAnswer: -270.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) 0.036 (d) 514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9655 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 - 5 = 0. Let j be (r\/4 - -1) + -1. Suppose x + j = 5. Solve 2*c = 2*p - 0*p + 10, 0 = -4*c + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13792 - 13791.14. Which is the second smallest value? (a) -10 (b) 2 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a**2 + 2229*a + 19208 wrt a?\nAnswer: 14*a + 2229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*26\/(-39)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 193 = 53. Is (2 - (-1235)\/j)*82 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14966, 59907, 134820, 239705, 374562, 539391, 734192?\n\"Answer: 14986*s**2 - 17*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r + 3*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(8\/(-96)*-64)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81411?\nAnswer: 3, 11, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379757 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/8)*l*l)\/l)\/(l\/l**(-32)) assuming l is positive.\nAnswer: l**(-245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*c - 705 = -701, -3*u - 3*c + 9 = 0. Solve 4*j = -5*k + 20, u*j = k + 6 + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2\/(-4)) - 3. Let m be -2 + n\/((-3)\/(-12)). Is 4\/(-12) - 62\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -12*m + 25. Calculate the smallest common multiple of 5 + (-2 - -3)*-1 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.34393751889 and 0.042.\nAnswer: -0.30193751889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 12. Solve -2*k - 6 = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 24 + 33. Suppose 0 = -2*c - o + 9, 5*c - 16 = 2*o + 2*o. Suppose 21 = h + c*n, n - 2*n = -3. Solve -3*q - h = -m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - 54*z**2 - 238*z - 2722. Determine c(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m. Let a(s) = 7. Let d(j) = 39*j - 39. Let g(w) = 6*a(w) + d(w). What is l(g(v))?\nAnswer: -312*v - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/2 (c) 2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -455 - -456. What is the nearest to l in 1\/6, 12, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -34*p - 2. Suppose f - 6 = 5*x, 3*x + 2*f + 2 = 1. What is the units digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-41 - -169 - 85)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:53 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 11, y: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2327*p - 11487. Calculate j(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14138585?\nAnswer: 5, 71, 39827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/24 + -1 + (-4)\/(-4). Which is the closest to f? (a) 3.59 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*z**3 - 7*z**3 - 2 + 8*z - 25*z**3)*(2 - 4 - 2 + (-2 + 2 + 2)*(2 - 1 + 0) + 1 - 3 + 1) as d*z**2 + j*z + p*z**3 + o and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3) - (5 + 0 + 44\/110)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 4*z + 28. Suppose -h + 408 = -5*f, 0 = -4*f - 0*h + 3*h - 322. Let p = -87 - f. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 - 2*v - 5. Let b be f(5). What is the third derivative of -10*d**4 + 6*d**2 + b*d**4 + 7*d**4 wrt d?\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21100 - -2031?\nAnswer: 23131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21691?\nAnswer: 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 + 0.053. Let m be 1 + (-66)\/(-20) - 4. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 219715814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/2)*j)**(3\/5)\/(j**(2\/15)*j*j*j**(-1\/2)) assuming j is positive.\nAnswer: j**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2627158, -2627161, -2627164, -2627167?\nAnswer: -2627170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1. Let f(q) = 4*q**2 + 2*q - 1. Let t(s) = -2*d(s) - f(s). Determine t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -74319196 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l + 6. What is the units digit of ((-1)\/(-4))\/(l\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 5*x**2 - 1 - 1)*(-15 - 6 + 1)*(-2 - 1 + 1).\nAnswer: 80*x**2 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + -5 + (sqrt(288) - 2*sqrt(288)) - 1*((sqrt(288) - ((sqrt(288) - (sqrt(288) + 1 + sqrt(288) - sqrt(288))) + sqrt(288)))*-1 - sqrt(288)))*4)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s. Let m = -2\/599 + 2228\/308485. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298986 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k - 9. Calculate the greatest common factor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -13. Let g = -47127 - -47305. What is the smallest common multiple of j and g?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -23 - (23 + -65 - -41) - -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/6*(50 + -10). Suppose -r = -24*f - f. Solve 5*d + 3*w - 6 = 2*d, -2*d + f*w = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42, -25, -8?\n\"Answer: 17*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833457 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -150003 + (-3)\/2*(-4)\/2. What is u rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/12*36\/231)\/(((-54)\/(-33))\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301 - 279.2. Let b = -22 + r. Round b to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 307501.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*-2.458382.\nAnswer: 0.51626022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + (-4 - 16 - -2) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607679.88 rounded to the nearest one hundred?\nAnswer: 1607700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358957923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-4*g**3 + 0*g**3 + 2*g**3) + (g**2 + 2*g**2 - 2*g**2 + 2*g**2 + 0*g**2 + 0*g**2 + (3*g - g - g)*(-3*g - 3*g + 7*g))*(3*g + 3*g + 2*g).\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaddyuuwawydyyaa. Give prob of picking 1 w and 2 d.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -aa (base 13) to base 15\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80613 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/1100 + -1943\/6600. Let j = -9\/8 - p. Let d = -1.8 + 1.83. Which is the nearest to -2? (a) d (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559 divided by -1\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 582650 + -5?\nAnswer: 582644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 30, 4*l = p - 6*p + 49. Solve -k + 2*u + 9 = 0, -27 = -4*k - 0*u + p*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(39) - sqrt(39)*1)\/sqrt(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by -26.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 29, 63, 117, 197, 309, 459, 653?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-190826692)\/(-12532) - (2 - 48\/26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5332 and 27176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16533 is divided by 64.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/28 + (-2 - 90\/(-35))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*h = -25, 2*a + 5*h = -2*a + 45. What is the lowest common multiple of (3 + (-95)\/35)*7 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 5*s**2 - s - 8. Let y be n(4). Suppose -3*r = -2*x - 14, 4*x - 8 = -3*r + y. Suppose -r*d - 1009 + 7305 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 83390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -70*q**3 + q**2 - 68*q - 133. What is j(-2)?\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/8, 2, 27.\nAnswer: -4, -1\/8, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.14, 15451, -0.4, -9, 0.5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5022377.4 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + j + 45. Let s be l(0). Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24600 and 369?\nAnswer: 73800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11100101100000?\nAnswer: 11100101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33 not equal to 13\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 903612*n**2 + 2*n + 5069?\nAnswer: 1807224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021012g in kilograms?\nAnswer: 0.000021012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -295 + 1850. Let b be h\/8 - 25\/(-200). Calculate the greatest common divisor of b and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u. Suppose -3*k = -2 - 7. Suppose -k*f + 2*f + 3 = u. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {i: 1, o: 1, m: 1, k: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*m**3 + i**2*m*s + i**2*s - i*m**3*s - 16*m**3*s - 23*m wrt m.\nAnswer: -6*i**2*m - 6*i*m*s - 96*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.5 - -15. Let z = -0.5 - x. Let t = 0 - -0.1. Is z greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-8)*(23\/(115\/3))\/1\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**2 - 106. Let v(t) = 849*t. What is v(r(n))?\nAnswer: -7641*n**2 - 89994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1287\/234*(-2)\/(-5)*1*(-60)\/(-6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let t = -6 + 6. Let y be t + (0 - 2) + -3. Let f(j) = -j - 1. Let h(k) = 7*k + 5. Determine s*h(i) + y*f(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - (-81)\/(-15). Let j be (-4 + 3 - 0)*-3. Let z be 26\/8 - (j + 1). Which is the biggest value? (a) z (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 440 - 452 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4317 + 16438. What are the prime factors of l?\nAnswer: 17, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-1 + (4 - 4)). Which is bigger: g or -17\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -5*q - 3*l + 15, 0 = -3*q + l + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 115 - 10. Let m = n + -20. Calculate the highest common factor of 120 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4\/(-12) + (-739)\/(-3) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 245, 1048, 2295, 4208, 7009, 10920?\n\"Answer: 37*b**3 + 544*b - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -1.65?\nAnswer: -0.3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 + 372. Let y(j) = j**3 - 16*j**2 + 81*j - 90. What is the remainder when x is divided by y(8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-7))\/(6\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 139 = -7. Suppose -3*j + h = 4 + 85, a = -j + h. Calculate the remainder when 37 is divided by (20\/(-7))\/(8\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 a factor of 66907408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 2, v: 1, p: 4}. What is prob of sequence tv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.23179\nAnswer: 0.246358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 176*t**2 - 4153*t + 3138. What is f(197)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(44)*1*6)\/sqrt(4))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 976.5 + -873. Let t = 93.49 - j. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382765876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -2*v**2 + 6*v + 1. Let m(p) = -13*p - 9. Let g(j) = 7*j + 5. Let r(d) = -11*g(d) - 6*m(d). What is f(h) + 5*r(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = 4*x + 3*a, -5*a + 4 = -4*x. Suppose 0 = -x*i + i + 78. Calculate the remainder when i is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21\/13, -1208.\nAnswer: -1208, -3, 21\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079000891 rounded to the nearest one hundred thousand?\nAnswer: -1079000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4746+49.45209925\nAnswer: 4795.45209925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:59 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 30. Sort -6, 3, y in decreasing order.\nAnswer: 3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-6 - 468\/27)\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*v - 207 + 45 = 0, -131 = -4*r + 3*v. Calculate the remainder when 475 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.08 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, a: 1, w: 1, v: 1}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.4 (c) 2\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000411231 rounded to six decimal places?\nAnswer: 0.000411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*h + 48 - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 23338911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3 = -3*i, i - 3 = -2*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t - 1. Let v be i(-1). Put 20, -1, v in decreasing order.\nAnswer: 20, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42231\/16 + -2638. Let k = -15\/1021 + 78917\/20420. Calculate the common denominator of k and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r. Let s(m) = -624*m + 48. Let w(h) = 12*h - 1. Let o(n) = 7*s(n) + 336*w(n). Give o(k(c)).\nAnswer: 5376*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274341.\nAnswer: 3, 19, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4333\/272 - -359\/17. What is the common denominator of (-6)\/16*((-3630)\/(-810) + 1) and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1365)\/182)\/((3\/18)\/1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**4 + 4281060*l**3 + 183275603446*l**2 + 73309727652*l + 7330955641.\nAnswer: (l + 85621)**2*(5*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5\/2 + 15*l**4\/2 + 2187*l**3 + 34041*l**2 + 216429*l\/2 + 152703\/2 = 0.\nAnswer: -19, -3, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 46 + 8. Let q(h) = 4 + k - 11. Let t(m) = -2*m + 8. Determine 6*q(a) + t(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:30 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*f + 504*f - 18*f - 141*f + 177*f + 62*f - 2.\nAnswer: 985*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*m - 3*m - 28, 20 = -3*m - x. Let p be (m\/10)\/(54\/(-45)). Let q = 231 + -2081\/9. Are q and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 21409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 - 176. Put 3, n, 1 in ascending order.\nAnswer: 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726 = 10*n + 23*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29159, 58273, 87399, 116543, 145711?\n\"Answer: r**3 + 29107*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3\/6 - 3*f**2\/2 - 25*f. Let u be k(-5). Factor 0*j + 0*j**u + 2\/13*j**4 + 0 + 2\/13*j**3.\nAnswer: 2*j**3*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 89.6. Is 1.4 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(100)\/sqrt(5))\/(sqrt(32)\/(sqrt(8)*-1) - (sqrt(4) + -2*sqrt(484)))*4.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, a: 1, r: 1, z: 1, u: 2}. Give prob of sequence uzl.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/21 and 41\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 + 9*y**3 - 42*y**3 + 12*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42*3\/(-42)*-4. Solve 14*m - o = 8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/(-2) + 4 + 2\/(-4). Solve -f = -4*t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 19*m - 6. Let u be d(19). Let h be (-1 - u)*(-4 - (4 - 9)). Solve -h*n - l + 17 = -0*n, -3*n - 4*l = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3080473 times -5\nAnswer: 15402365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 343498952 times 0.5\nAnswer: 171749476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 12 = -3*a, 5*h = -5*a + 605. Solve 8*o - 91 = -h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 202773441 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68461068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 1, t: 5, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let k(n) = n**2 + 12*n + 39. Let t be k(-7). Let r(a) be the second derivative of 0*a**2 + 0*a**3 + 0 - 1\/12*a**t - 4*a. Determine j(r(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let i = 32 - 88. Let u = -52 - i. Put z, u, 2 in decreasing order.\nAnswer: u, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-16)\/6*123\/(-164)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5101, -20463, -46065, -81907?\nAnswer: -127989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316*h - 17730 = -5271*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*d**3 + 3*d - 33 + 38*d**2 + 31 - 38*d**2 in the form i*d**3 + c*d**2 + v*d + q and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 2\/11, 0.359, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 73*o - 2020 = 158*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(50))*4)**2 + sqrt(3200) + 0 + -1 + sqrt(3200).\nAnswer: 1040*sqrt(2) + 3343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*t**3 + 29*t**2?\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -8*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 3, d: 1}. What is prob of sequence jwwd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.1. What is the second smallest value in -2, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let w(i) = 19 + 18 + 240*i - 48 + 9. Determine k(w(h)).\nAnswer: 240*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times -0.5?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12636 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/(12\/18). Solve -o*q + 0*q = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -5\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 + 976?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:22 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1088) + -2)*-6)**2*-3.\nAnswer: -1057968 + 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j**5 - 140*j**4 - 1780*j**3 + 380*j**2 + 6544*j + 720 = 0. What is j?\nAnswer: -5, -2, -1\/9, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 50*t = 55*t - 32 + 128, -w - 3*t = 24 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14102669 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 108*d**2 - d - 108.\nAnswer: (d - 1)*(d + 1)*(d + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 2*t + 7. Let u be o(3). Let p(s) = -s**3 - 4*s**2 + 3*s - 6. Let y be p(u). Solve -y*c = -0*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:16 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/17 and 119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*t - 440 = 0, 3*d - 631 = t - 6. What is the remainder when 5662 is divided by d?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 387 = -217 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) - 548\/792. Let p = 5311\/1386 - z. Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 24 = 4*w. Let n be w*6\/(-8)*-2. Let p be 6 + 260\/(-45) - 43\/n. Solve p*a = -0*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4490 divided by 2245?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-28) - 10102\/1824 - -6 and -61\/22.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563563, 563560, 563557?\nAnswer: 563554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-9\/5)*g*g\/((g*g**(-9))\/g)*(g*g\/((g\/(g*((g\/(g**1\/g))\/g*g)\/g))\/g)*g)\/(g*g\/g**(-9)) assuming g is positive.\nAnswer: g**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 2*t + 3*t)*(3*t**2 - 2*t + 2*t) - 6*t**2 + 0*t**3 + 143010*t - 142964*t - 2 + t**3 to the form k*t**3 + y*t + i + s*t**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 36*a - 34*a. Let u be (a - 8) + 1 - -7. Solve g = -3*t - 21 + u, 0 = -2*g + 2*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/14*3 + (-8)\/(-112)*-6. What is the biggest value in w, 0, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 28 = -20. Let b(y) be the first derivative of y**4\/4 + 8*y**3\/3 + 7*y + 3. Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 45*c**2 + 85*c + 3. Let n be m(-43). What is the greatest common divisor of 506 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 + 142 - 267 = 68*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 6, h: 11, s: 1}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.6 - 46. What is the closest to -10 in 5, o, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/40 - (-175)\/(-252))\/(4\/(-18)). Solve -c - b*c + 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 1015*f**4 - 13265*f**3 - 2287855*f**2 + 8594520*f + 1290356100 = 0 for f.\nAnswer: -205, -33, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 3 - ((-19 - -14) + 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305443086 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 12 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**6\/72 - 23*i**5\/24 + 5*i**4 - 22*i**3\/3 - 2*i - 118. Let w(k) be the second derivative of n(k). Factor w(h).\nAnswer: -5*(h - 1)*(h + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 127256963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1271*a + 29286. Calculate i(23).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((2*sqrt(336))\/sqrt(8))\/sqrt(6) + sqrt(1008) + 1 + -3)*-4)**2.\nAnswer: -1456*sqrt(7) + 22121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -15. Suppose 0*i = o*i - 30. Let r = -392 + 399. Calculate the remainder when i is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/35*(-165)\/2574*-143.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(275)*2 - (sqrt(275) + 5 + (sqrt(275) + 1 - sqrt(275)) + sqrt(275)))**2 + -1 + 4 + -2*(sqrt(33)\/(sqrt(15)\/sqrt(80)))**2.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsusquqqqgquqgsuss. Give prob of picking 3 s and 1 q.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*m - 3 + 3 + 257*m - 2 - 5*m**2.\nAnswer: -5*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72428589?\nAnswer: 3, 19, 423559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.89737 nanometers to meters.\nAnswer: 0.00000003989737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*l**4 - 657*l**3 + 6*l**2 + 11*l - 16 wrt l?\nAnswer: -528*l - 3942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjt when three letters picked without replacement from jttjtjppppptppjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(216))\/sqrt(12) - sqrt(18))\/(sqrt(576) + sqrt(576)*1))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.27, -39.0357, 1\/4?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((308\/5390)\/((-1)\/(-42)))\/2*20\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818467 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from riaihiin.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 127*u**2 - 17*u + 7. Give x(1).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 12*v**2 + v + 11. Let d be f(-12). Let o be 1 - (-412)\/(5 + d). What is the greatest common factor of 52 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-15) - (0 + -2 - 11\/66). Which is the smallest value? (a) q (b) -13 (c) -3 (d) 4 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1013 - 23 = 22*n. What is the remainder when 128 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431 - 5*y**2 - 262 - 270 + 963.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-600)*148 + 30\/300.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.075 + 0.001. Let b = -0.07 - -0.115. Let w = x + b. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 2 - 39\/15. What is the smallest value in 0.5, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (12368\/(-6))\/4. Suppose -5*f = -h + 50. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2796, 5203, 7620, 10047, 12484, 14931, 17388?\n\"Answer: 5*x**2 + 2392*x + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16243 - 14534. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2564, -5128, -7694, -10262, -12832, -15404?\nAnswer: -17978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2\/(-6))\/(14\/(-6888)) + -2 and 30?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-54)*0)\/1. Let r(q) be the third derivative of w*q + 9*q**2 - 1\/90*q**5 - 1\/540*q**6 + 0 + 0*q**4 + 4\/27*q**3. Find p, given that r(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1595, -12548, -42201, -99902, -194999, -336840, -534773, -798146?\nAnswer: -1136307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146970\/11 + -13417. Which is smaller: -57 or z?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 30111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-11) + (-112)\/(-11). Suppose -3*m + g - 1 = 0. Suppose 5*y + 5 = 0, 4*y - 194 = -6*x + m*x. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(1\/3*(4 + -1)). Solve 2 = -a*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**5 + 405*g**4 - 2781*g**3 + 4860*g**2 = 0.\nAnswer: 0, 3, 9\/2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18972 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 17*w**2 - 2*w - 10. Let o be p(-17). Suppose 2*y - 2*u = 3*u + 16, -3*y - 2*u = -o. What is the highest common divisor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-37)*f)**(5\/3)\/((f\/(f*f*f**24))\/(f\/(f\/(f*f\/(f*((f*f*f**(-15)*f)\/f)\/f*f)*f)))) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a849 (base 15) to base 9\nAnswer: -53766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.083 and 2837?\nAnswer: 17257.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30793 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 127.867. What is m rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247496 at most as big as 5247487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 143507.3 - 3\nAnswer: 143504.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 137 + 35 + 181*g**2.\nAnswer: 181*g**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.8 - 20. Sort 2, -1, -1\/2, z.\nAnswer: -1, -1\/2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0)*b)**(4\/19))**(-16\/11)*((b\/((b\/((b**(3\/5)\/b)\/b*b))\/b))\/(b**(-1\/7)\/b))**(-1\/25) assuming b is positive.\nAnswer: b**(-68749\/182875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 25*i**2 + 5*i - 26. Let o be q(25). Calculate the greatest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 27577.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51b (base 15) to base 4\nAnswer: 101333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 9528*n**2 - 113937*n + 104412.\nAnswer: -3*(n - 3164)*(n - 11)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:53 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 23*f - 97. Let j be c(18). Let h = 19 + j. Let x(p) = -p**2 + 16*p - 26. What is the least common multiple of x(h) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27)*-57*56*192\/7168.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27102.7 + 27103. Which is smaller: 3.29 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5980 divided by 1\nAnswer: -5980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/6))\/a*a\/(a*a**(-14)*a)*a)\/(a\/(((a\/a**(-10))\/a)\/a)*a**(-25)) assuming a is positive.\nAnswer: a**(283\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2175l in millilitres?\nAnswer: 217.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 35. Suppose -5*b + 2*b + 20 = x*r, b = r. Suppose r*f = 4*a - 3796, -158 - 4587 = -5*a - 2*f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*d + 1, -4*z = 4*d - 11 + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 326747 + 326747 + 78*h**2 to the form a + o*h + n*h**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 40*a - 25. Determine m(14).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:16 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.1 (c) -6 (d) 1 (e) 88 (f) 15 (g) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 15*a**2 - 16 - 5*a**4 + a**4 + 20. Find the second derivative of x(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, k: 7, l: 1, p: 2, x: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 217 = -5*x, 5*x - x - 149 = 5*r. Suppose 0 = -u + 6 - x. Let z = u - -58. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l - 1081 = 1498 + 214 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 4*r - 310 + 52 - 110 as v + c*r and give v.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l + 0*l - 3 - 7*l + (-4 + 3 + 3)*(-l + 4*l - l) to z*l + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-2 - 1 - 1) - 1 + 0 + 0)*(5*r**4 - 5*r**4 - 5*r**4 + 2*r**3).\nAnswer: -35*r**4 + 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 5, b: 1, i: 4, u: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 + -4 + 6*(sqrt(448) + sqrt(448) + -1))**2.\nAnswer: -2080*sqrt(7) + 75812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -365*z**3 + 2*z - 2. Calculate r(1).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 20*z + 10. Let j be i(9). Let h(w) = w**3 + 8*w**2 + w - 1. What is h(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - 2*o - 1. Suppose 9*h + 2 = 20. Let f be w(h). Suppose -3*j + 6*t + f = 7*t, -2*j + 9 = t. Solve 0 + 8 = -j*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + ((1 - -9) + (100 - 121) - -11).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12353 + -15?\nAnswer: -12401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 357 + 159. Let q = j - 71. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000058395 to 7 dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-70)\/36 - -2). Let p = -169\/3 - -57. Which is the nearest to m? (a) 2 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k + 3*k + 0*k**2 - 2*k**2)*(12*k**2 + 111*k - 111*k).\nAnswer: -24*k**4 + 228*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 0 + 32 = 0. Let p(k) = 4*k - 3. Give p(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 + 8364*p**2 - 140 - 4178*p**2 - 27*p - 4187*p**2.\nAnswer: -(p + 5)*(p + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*b, 5*b + 28 + 17 = 4*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13416, 13409, 13402, 13395?\n\"Answer: -7*w + 13423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -63250 divided by 1375\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1915 + -1913. Solve -4*k - 12 = -4*l - 5*k, b*k = 2*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-6388)\/(-14). Suppose f = 5*f - d. Let i = f - 67. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3 - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*j + 49*j + 18 - 13 = -57*j, 6*k - 2*j - 74 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 = -2*f, 0 + 2 = -2*f - 4*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - m = 3*m - 14, 5*c = 3*m + 9. Let x(y) = y - 3. Let v be x(6). Let g(d) = 0*d + 3*d - c*d + v*d. Let a(i) = 4*i. Determine a(g(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7719 = -19116. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 28. Let w be r(7). Let d be 34\/119 + 47\/w. Put -3, 5, d in descending order.\nAnswer: d, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + 6 + -5 + -6 + (33 - 33).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16\/(c**38\/c*c*c)*(c\/(c\/(c\/(c**9*c))))\/(c\/c**(-12)))**(2\/39) assuming c is positive.\nAnswer: c**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:52 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -3\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3006 (base 7) to base 16.\nAnswer: -40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egai when four letters picked without replacement from ziaiazeigz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 32 - 20 + 38 + 3*d**2.\nAnswer: -d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4608) + sqrt(4608) + -5.\nAnswer: -5 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1495.7 + -46.7. Let g = -1035 + j. Is g equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826071 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712 <= 8789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2712 = -170*p - 353 + 701. Suppose j - 2*x = 227, -4*j + 659 = -x - 242. What is the greatest common factor of p and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + 10002202000?\nAnswer: 10002202333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 896?\nAnswer: -1\/448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65035 is divided by 1912.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -32 + 14 + 16 - 53*z**2. Let n(s) = 2*s**2. Give n(a(j)).\nAnswer: 5618*j**4 + 424*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46431 = -13*a + 158579. Calculate the greatest common divisor of a and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 128. What is the third smallest value in -7, p, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1887, -1888, -1889?\n\"Answer: -i - 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-284)\/(-213)*-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 2*p**3 - 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.382512 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 252642517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -50. Let w = -13 + 7. Let j(q) = -3*q - 3. Let d be j(w). What is the greatest common divisor of d and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 1422*p = 0. Calculate p.\nAnswer: 0, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.02\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 + 10*p - 5. What is f(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s. Suppose 4*t = -8 - 8. Let f(m) = 333 - 663 + 8*m + 330. Give t*w(h) - 3*f(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*u = 301*u + 40. Solve -k + u*l - 171 = -174, 5 = 5*k - 5*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 3)*1\/3. Suppose -4*i = -2*c - 21 - n, i + 5*c = 0. Suppose 14*j + 30 = 8*j. Sort j, 2, i in decreasing order.\nAnswer: i, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2470.\nAnswer: 1\/2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3260330 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125*k**4*n + 15724*k*n + 2*k - 10915338*n wrt k.\nAnswer: 500*k**3*n + 15724*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 121 = -97. Put -3, j, 1, -5 in descending order.\nAnswer: 1, -3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -512\/15 + 100\/3. Let g = 4 + -7. Which is the closest to 0.1? (a) -5 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59672 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, u: 1, l: 2}. What is prob of sequence wu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -937 + 949. Solve -5*v - 3*f + 0*f = -16, 0 = 5*v + f - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 280397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 3. Let h be y(4). Let t(r) = r**2 + 2*r - 2. Let u be t(h). Let b = 60 - 21. What is the highest common divisor of u and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1892 (c) 5 (d) -109.9 (e) 4 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233325 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 61*u = 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -19, -67, -143, -253, -403, -599, -847?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s, -4*m = 6*s - 4*s + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.79722km in meters?\nAnswer: 26797.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -4.1. Let a = 6.3 - h. Let k(v) = -5*v + 6. Let z be k(2). What is the third biggest value in a, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)*((-27)\/(-7) - 4). What is the nearest to -2\/3 in -1\/5, -31\/3, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 10*h - 7. Determine a(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 25*f - 20 = 52*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -49\/69077?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3340193499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(19) + sqrt(95)\/sqrt(5)))**2 - sqrt(684)*-1)*2.\nAnswer: 12*sqrt(19) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 0, 3314, -2\/9, -14?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = b - k, -128*k + 29 = 3*b - 132*k. Solve -8*p - 2*v = -5*p - b, p - 15 = -5*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h. Suppose -2*g + 4 = 0, t - 5 - 3 = -3*g. Let c(u) = -2*u**t + u + 0*u - u. Determine c(k(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -2\/11 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/6*(-1)\/7. Let q = -49 + 195\/4. Let w = 1.1 + -3.1. Which is the third biggest value? (a) n (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3063\/8 and -384 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-5))\/(-8))\/(3\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (308\/11 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 17, 33, 61, 107, 177, 277?\n\"Answer: t**3 - 3*t**2 + 12*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o - 172 = 0. Let h = o - -47. Let i = h - -272\/7. What is the second smallest value in i, 0.5, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2 + 0 + 0). Let y be 4 + 0 + 1 + z. Let h(m) = 89*m + 3 + 98*m - 188*m. Give h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49 + 67)*4\/8. Let f = 12\/7 - 2. Put -1\/4, m, f in descending order.\nAnswer: m, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17574095 or 14?\nAnswer: -17574095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-13600)\/(-51))\/(-40))\/(-10*3\/12)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87219792 and 316?\nAnswer: 87219792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -106. What is the least common multiple of k and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 1175?\nAnswer: 23500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.2. Which is the biggest value? (a) k (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35385 by 337.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t**3 + t**2 + t - 1. Determine w(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055413101 to the power of 1\/2, to the nearest integer?\nAnswer: 45337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197 - 176. Solve o - i = -4*t, -7 = -o - t + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - 30. Let k = 4 + u. Let o(j) = -j**3 + j**2. Let q(t) = -t**2 - 9*t**3 + 6*t**2 + 3*t**3. Determine k*o(i) + 2*q(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325486, 651043, 976600, 1302157, 1627714?\nAnswer: 1953271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(1 - -11))\/(63\/(-16) - -4). Suppose 0*t + 4*t = 40. Suppose -3*i = -t + 1. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -653, -2183, -5127, -9947, -17105, -27063, -40283?\n\"Answer: -77*o**3 - 14*o**2 + 3*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 1, 3, 50\/261.\nAnswer: 50\/261, 1, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1046706\/1907 or 549?\nAnswer: 1046706\/1907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 1. Let m(f) = f + 180. Determine m(z(w)).\nAnswer: 5*w + 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5\/12, 37, 0.1, 1\/8.\nAnswer: -2\/7, 0.1, 1\/8, 5\/12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24765999?\nAnswer: 3, 53, 109, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 614 and 614?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.7 + -0.3. Let v = p - 8. Let y = 0.5 + v. Which is bigger: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.1, -230\/17, 29 in ascending order.\nAnswer: -230\/17, -2\/7, -0.1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v + 4. Let g = 2 - 5. Sort g, v, -2\/7.\nAnswer: g, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*u**2)*(14*u**2 - 3*u**2 + 3*u**2 + 2) in the form j*u + t + q*u**4 + z*u**3 + i*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 98 - 482. Let p = 17 + s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssgwsgssswssssw. What is prob of picking 2 w and 2 s?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*k**3 + 87*k - 276 + 276.\nAnswer: 476*k**3 + 87*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4) + sqrt(256)\/sqrt(4) - sqrt(4))*-6)\/((sqrt(2) - (sqrt(2) + (sqrt(2) - sqrt(180)\/sqrt(10))))*-4) + -5)*-5.\nAnswer: -15*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9450 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -306.82?\nAnswer: -305.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 7524*f + 3671061. Let x(s) = -3776*s - 1835530. Let k(v) = -2*b(v) - 5*x(v). Factor k(m).\nAnswer: 2*(m + 958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 4921.\nAnswer: -6\/4921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 111. Let i(u) = 2*u**2 + 18*u + 62. Let f be i(c). Solve -5*j + 6 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18729, -18727, -18725, -18723, -18721, -18719?\nAnswer: -18717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -83*x - 184. Let k be q(-2). Let v(t) = -16*t - 286. Let p be v(k). Which is the nearest to 46? (a) 3 (b) p (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84*191\nAnswer: -16044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 508 - 502. Solve g = -3, 2*w + 4*g - q*g - 14 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537553?\nAnswer: 281, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005.1 + -876. Let u = i + -101. Let c = -28.227 + u. Round c to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.2. Suppose 9*y = 4*y - 20. Let c = 3184 - 12737\/4. Put c, a, y in descending order.\nAnswer: a, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37058 - -37059. Let g(c) = 8*c**2 + 8*c - 8. Calculate g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let b = i + 0. Put -2, b, -5 in ascending order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9*w + w = 0. Let f be (-1)\/3 + (-1)\/3. Which is the nearest to 0? (a) w (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004447398 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*u - u = -27575, -5*a - 2*u = -46010. What is a rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 2:49 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 4:52 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00566 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570b (base 16) in base 10?\nAnswer: 22283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616908 to the power of 1\/2, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1.3.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2636615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdsupsnsjppd. Give prob of sequence ujp.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:20 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1106842.201 to the nearest 1000.\nAnswer: 1107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 2*k. Let u be j(3). Suppose 15*o - u*o = -3. Let d(f) = 7*f. Give d(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -852. Find the common denominator of r\/110 + 6*(-4)\/132 and 41\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times 0.14\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(181\/(-5430))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/61, -2\/11, 5, 16, 4.\nAnswer: -2\/11, -1\/61, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/5 + t**4\/6 + t**3\/6 + t**2\/2 + 7*t. Let z be f(3). Let b = -310 - z. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let h(k) = -7*k. Let f(z) = 21*g(z) - 5*h(z). Let o(m) = 3*m**2. Give o(f(n)).\nAnswer: 147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**4)\/w)\/((w*w**(-2))\/w))**(2\/129)*(w**(-36\/5))**(-1\/2) assuming w is positive.\nAnswer: w**(794\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/231080 and -107\/519930.\nAnswer: 2079720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 - -31a0?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = 2*q + 3*d, 0 = q - 4*d - 17. Suppose 110 = q*c - 3*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0758 - -143399.\nAnswer: 143398.9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -22 - 4 - 44.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123503917*d - 10 + 123503917*d - 3 - 2*d**3.\nAnswer: -2*d**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*o = 882*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16371.31888 and 0.037.\nAnswer: -16371.28188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.03, 58, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11934317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2\/73 (c) -2\/13 (d) 229 (e) 5 (f) 8.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 - 191*j + 94*j + 91*j.\nAnswer: -6*j - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 504 = -648. What is the highest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 + -1498\/3. Calculate the common denominator of d and 4 + (-132)\/42 - 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 293.\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*l + 2, -3*q = 8*l - 13*l - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*s**2 + 0 + 2\/7*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3 - 2. Let x(q) be the third derivative of -5*q**4\/4 + 885*q**2 - q. Determine f(x(b)).\nAnswer: -2700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10167 + 5087 - 58*d**3 + 59*d**3 + 5080 + 33*d**3.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361252.\nAnswer: 2, 90313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 - -14) - -5 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2890788 + 2891171.0574. Let v = y - 383. Let g = -0.039 + v. Round g to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/65 + 4\/(-26). Solve 3*n + 0*n = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*r + 4, -r + 6 = r. Let t = o + -14. Is ((-213)\/1)\/(t\/44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11934 - -18989. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:11 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 354 = -3*c + 3*w, -4*w = 3*c - 354. What is the remainder when c is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*r - 182 + 11*r**2 - 74 - 982 wrt r.\nAnswer: 22*r - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242013 (base 5) to base 9\nAnswer: -13318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**4*o)))**15 assuming o is positive.\nAnswer: o**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3267529222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 3, v: 2, i: 3, s: 2, z: 1}. Give prob of sequence sz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 - 4. Suppose -k*t = 2*t - 12. Find the first derivative of t*y + 1 + 1 - y wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25935522.968 less than -0.1807?\nAnswer: -25935523.1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1690 and 57\/115.\nAnswer: 38870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = 4*n - 2, 5*n = 5*b + 30. Let q(k) be the third derivative of k**6\/120 + k**5\/20 - k**4\/8 - k**3\/3 - 12*k**2. What is q(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.71 - 0.71. Is -0.1 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166469527.\nAnswer: 7, 103, 373, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 28\/2 - (-16 - -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 3*n**3 - n**2 + 3*n**2 - 3*n**2 to the form b*n**3 + p*n**2 + k*n + f and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 7*p + 188*p**2 - 4*p - 31*p**2.\nAnswer: 157*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Let n(b) = -5*b - 2. Let s be n(-2). Let m be s\/6 + (-5)\/t. Which is smaller: -0.07 or m?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**9)*n*n**(-3\/7)*(n**38*n*n)\/n**(2\/45) assuming n is positive.\nAnswer: n**(9931\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {t: 12, u: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2*v + 1. Suppose -25 = -3*f + 2*m - 80, -2*f - 5*m - 24 = 0. Let c = f + 15. Let r be i(c). Is r less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 2*c**2 - 16*c - 11. Calculate w(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/g**(-10))*g**(2\/39)\/g assuming g is positive.\nAnswer: g**(-388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 649970, 2599151, 5847786, 10395875?\n\"Answer: 649727*z**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/2 - 14*o**4 - 348*o**3 + 1123*o**2 - 2297*o\/2 + 387 = 0. Calculate o.\nAnswer: -18, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/3 + 8*m**2\/3 + 8*m\/3 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = -2*h. Let j = 12 - h. Solve -i + j = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 4, j: 2, d: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlplvppl. Give prob of picking 2 l, 1 p, and 1 v.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 59384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3 - 1258. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/19842 and 107\/6834.\nAnswer: 22600038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2 + 2*w + 3. Let y be l(0). Suppose 0 = 3*r - 5*p - 950, 5*p + 2 = -y. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.6, -70 in decreasing order.\nAnswer: -1, -1.6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zirz. What is prob of picking 1 r and 2 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 163353338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 1282 = -24*h. Let w = h + -391. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 33*d = -34*d - 155, -5*f + 197 = 2*d. Suppose 5*n + 2*i = 176 + 25, 5*n - 5*i = 180. What is the highest common divisor of f and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*u + 122872, 73*l - 72*l = -4*u + 40944. Does 308 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.117 - -7.2.\nAnswer: 7.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*9.040181.\nAnswer: -144.642896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, 1\/3, 1082\/5, -0.4, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 22. Suppose 0*w + 2*w - b = 0. What are the prime factors of 1\/(2\/w - 1)*25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 4106 = 0. Let d be 28\/63 + 12\/(-27). Suppose 11*i - 12*i + n = d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/91806 and -46\/13?\nAnswer: 91806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -3 - 18\/(-36)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 3. Suppose -3*u + 10 = 3*h - 14, -2*u + 3*h = 4. Suppose -u*r + 10 = -10. Let o = -8 + r. What is f(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 5. Let i = 5 + -3. Suppose 5*s + 32 = -3*k - 0*s, -i*k + 8 = -4*s. Calculate o(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -25, -87, -185, -325, -513, -755?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:09 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396)*3*-4 + sqrt(396) + sqrt(396))\/sqrt(11))\/((sqrt(144) + -2*(sqrt(144) + sqrt(144)*3 + sqrt(144)))\/sqrt(12)))**2.\nAnswer: 100\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*z + 11659 - 9785 - 14281 = 18886 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -341*c. Let b(j) = -3*j**2 + 3*j + 4. Let i(f) = 8*f**2 - 3*f - 4. Let q(a) = -b(a) - i(a). What is y(q(k))?\nAnswer: 1705*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**2 - 13*t**4 - 10*t**2 + 4*t**2 wrt t?\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5282 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 1485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1690 or 100635?\nAnswer: 1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*l = 431*l - 570*l - 568*l + 45672 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111013 (base 4) to base 13\nAnswer: -7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*p - 23 + 31, p + 12 = 2*h. Let q be 20*(-4 + 5)\/h. Solve 2*g + q*y = -0*y + 2, 0 = 3*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2 = r, 0 = 3*x - 34*r + 32*r - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*g - 6 = -544*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/210 - i**4\/84 + 17*i**2 - 72*i. Let f(v) be the first derivative of z(v). Factor f(q).\nAnswer: 2*q*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/30 + z**3\/3 - z**2. Let b(d) = 5*d**3 - 6*d**3 + 4 + 0*d**3 + 5*d**2. Calculate -2*b(v) + 5*u(v).\nAnswer: 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 39 + 28 = -m, -4*m + 4 = 4*d. Find r such that 7*r**2 + 53\/4*r**3 - 21\/4*r**d + 2*r**4 + 0 + r = 0.\nAnswer: -1, -1\/3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*w + 73. Let m(s) = s**3 + 10*s**2 - 11*s + 25. What is the remainder when w is divided by m(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 3, -3\/58, -181\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*o**3 - 12*o**2 + 25*o**3 + 8*o**2 - 1 - 13*o**2 - 45*o**3 to m*o + p + q*o**3 + d*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 62*k**2\/3 + 292*k\/3 + 56.\nAnswer: (k + 6)*(k + 14)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 8176.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-8)*17664\/4600?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -3, 2\/7, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3*k**2 - 75*k + 1476. Calculate t(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 23*n**2 - 2*n + 413. What is the lowest common multiple of g(-23) and 135?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*f + 8068 + 7683 - 14536 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 610289433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/11 - 29474*a\/11 + 14736\/11.\nAnswer: 2*(a - 7368)*(2*a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464866 + 539391 = 59*s - 624792. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 2 = 0. Suppose 37 = 4*y - l, -6*l - 18 = -3*y - 2*l. Does 10 divide (d - 37)*(-8)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 22 + 26)*(-1 - n + 1)*(5*n - 4*n + 0*n)*(-9 + 9 + 7*n) as a*n**2 + k*n + y + f*n**3 and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - -85. Let u = 272 - h. Which is the nearest to 2\/5? (a) u (b) 0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484 - -482. Which is the biggest value? (a) 0.1 (b) n (c) 2\/135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183548705 to the power of 1\/2, to the nearest integer?\nAnswer: 13548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-9) - 12)*12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35. Suppose u = x - 6*x + 10. Suppose -61 = -x*s - v, 4*v = -s - 3*s + 124. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 35. Suppose -3*o - 12 = 3, 2*d - 25 = 3*o. Let y be 1\/(-7) - d\/(-35). Put 2, j, -4, y in descending order.\nAnswer: 2, y, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 15 (b) 1\/4 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47255220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.38 - -54.38. Let s = 0.07 + -0.136. What is the smallest value in b, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let k(r) be the second derivative of -17*r**4\/12 + r**3\/3 - 512*r. Calculate v(k(q)).\nAnswer: -289*q**4 + 68*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 177?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f - 24. Let x be i(4). Solve -5*h - 17 = x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/420 + (6\/21)\/(-1). What is the closest to 1 in 2\/7, 0.8, a?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155, -2830, -10127, -24356, -47827, -82850, -131735?\n\"Answer: -385*y**3 - y**2 + 23*y + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1.2. Let o = 34 - 32.08. Let x = z - o. What is x rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 564408.6s?\nAnswer: 564408600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 638*p**7\/35 - p**4\/12 + 8*p**3 - 131*p**2 - 8*p. Find the second derivative of a(g) wrt g.\nAnswer: 45936*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-144)\/15)\/6*8*(-60)\/(-864). Which is the fourth smallest value? (a) -1\/7 (b) v (c) 4 (d) 0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 9198410.\nAnswer: -64388870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 233?\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 2*r - 11. Let p(b) = 1. Let j(t) = -m(t) - 6*p(t). Let i = -107 - -107. Is j(i) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 - 90?\nAnswer: -89.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30)*-20)\/(1\/((-3)\/(-130)))?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 9) to base 2\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14999883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let u(h) = 8*h - 14. What is u(b(c))?\nAnswer: -8*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-2 + 0 + sqrt(605))*-2)**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.92 - 40. Let n = v + 0.08. Let x = -3.0002 - n. What is x rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y + 32886 = -35*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242621471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/9129472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365 - 398.6. Let z = 34 + j. What is the nearest to 0 in z, -5, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11\/(-4))\/(13775\/33060)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100100001010 (base 2) to base 8\nAnswer: -4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 237580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {z: 3, e: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.78999583 - 1.79. Round v to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-1)\/((-16)\/416)*1.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -0.2. Let u = j + -0.60000048. What is u rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 + 4*c + 1. Let w be i(-4). Let u(p) = w + 1 + 2 - 12*p + 2*p. List the prime factors of u(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 14160.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-22) - ((-144)\/(-66))\/12. Let c = -1 + 1.05. Suppose -y - 2 = -2*r + r, -5*r + 6 = -y. What is the second smallest value in -1\/4, g, c, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4367360 and 39936.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 + -146. Is k\/((-12)\/42 - (-15304)\/53662) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + -1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1549 divided by 1624\nAnswer: 1549\/1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1979903847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - 5*u**4\/12 - u**3\/2 + 5*u**2\/2 - 2*u. Let q be g(6). Let t = q - 3. Solve -j = 4*j + t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5189, 5188, 5187, 5186?\nAnswer: 5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 748997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*f**5 - 2*f**2 + 206*f - 2.\nAnswer: 2180*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 645044839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6 + 13. Suppose 0 = 3*a + p - 55. Let s = -9 - -21. Calculate the greatest common divisor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5035698 is divided by 5035677.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 18, -2 in decreasing order.\nAnswer: 18, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*y + 8, 0 = -4*o - 35*y + 45*y - 17 - 51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 17 = -b + 3*i, i = 4*b + 9. Let n be 10 + -1 - b\/1. Solve n = -2*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 25)*(-2)\/(-3). Let k(o) = -2*o**2 - 32*o + 19. Is 19 a factor of k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 4. Let n be h(4). Let m be (5 - (1 - n)) + 0. Suppose m*i + 3*j - 53 = 0, -3*i + 42 = -j - 14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/(-756)*(-15)\/54*-3*2\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b + 4*f, 45 = -5*b + f + 4*f. Let s = -8 - b. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 30*l**2 - 4*l + 266. What are the prime factors of c(23)?\nAnswer: 2, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhhj when four letters picked without replacement from hhjjjjhhjjjjjjhjjj.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 116*y**2 - 3*y + 371. Determine w(116).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/((-9)\/18). Suppose n*i = -i + 6. Solve -i*p = -0*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -208f46c?\nAnswer: -208f460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-57) - 3 - (-6985665)\/(-86355).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169.0481 + -0.3481. Let g = 162 - p. Let j = g - -5.7. What is the third smallest value in -7\/4, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422158 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -21. Suppose 5*s + 56 = -4*d + 1467, 550 = 2*s - k*d. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1461531516 + -3?\nAnswer: -1461531522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 - -315. Let i = 460 + n. List the prime factors of i.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/13 + -34\/65. Is n smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c**(1\/3)*c))\/c)*c*c*c**(1\/2))**(-5\/14)\/((c**(-2\/5)\/c*c)**(22\/9)\/(c*c**5*c*c**(1\/9)*c)) assuming c is positive.\nAnswer: c**(1261\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -46*g + 3*r + 2*r + 332, 0 = -50*g + 50*g + 2*r - 4 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4 + 2 + 14*d - 3 + 7 - 2*d. Let t(c) = 5*c. Calculate t(l(g)).\nAnswer: 60*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4214760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-15\/7)\/c)\/c)\/((c*c**(3\/20))\/c))\/((c\/c**(-13\/6))\/(c\/(c**(-12\/5)\/c))) assuming c is positive.\nAnswer: c**(-257\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -8*k**5\/5 - 9*k**4\/4 + 346*k - 486. Find the first derivative of n(p) wrt p.\nAnswer: -32*p**3 - 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) 4\/7 (c) 0 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 51210.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oew when three letters picked without replacement from {e: 1, w: 5, o: 4, n: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-1))**(10\/11)*y**(5\/4)\/(((y*y\/(y*y**(-2\/5)))\/y*y)\/y)*y*y**(2\/11)*y**2 assuming y is positive.\nAnswer: y**(3061\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722514.\nAnswer: 2, 373, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - ((-18)\/(-1))\/6. Solve 5 = c - t*p, 2 = c - 3*c - 2*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:22 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -384*b + 7682. Calculate k(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 510*z**4 - 286*z**2 - 1.\nAnswer: -120*z**2 + 12240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -191, -295, -307, -227, -55, 209?\n\"Answer: 46*p**2 - 242*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36853 - -5?\nAnswer: -3684b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -43*j**6\/120 + j**5\/60 + j**3\/3 - 35*j**2. Let t be i(-2). Round t to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21 - -16) + (-1 + 598)*-1. Let v = f - -606. Let b(h) = h**3 - 4*h**2 - h - 2. What is b(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -1\/2 (b) 4 (c) -5\/24 (d) 6 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 28 = 4*h, 5*s - 30*h + 27*h + 18 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 2*g**2 + 2*g**2. Let j(f) = 2*f. Give v(j(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 42 = 2*l + 29*j, -l - 2*j = -25. Solve 25*m - l*m = -24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 2 a when four letters picked without replacement from dawdawfdfdfwlllldaa.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or -3.81?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/3 + 4. Let w be 431\/42 - (14\/7)\/4. Let j = 66\/7 - w. Which is the fourth biggest value? (a) i (b) -1 (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/3))**(-8\/15))**(-3\/38))**(-11\/3))**3 assuming y is positive.\nAnswer: y**(44\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + 2*f**2.\nAnswer: -2*f**2*(f - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -n + 4*t, -22 = 2*n - 2*t. Let l = n - -18. Suppose -161 = -d - l*i, -3*i = -1 - 8. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q + 8 = -11 + 19. Is q smaller than -2\/11325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g\/g**(-4\/3)*g))\/g*g)*g)\/g*g**(-3\/11)*g)**(1\/56) assuming g is positive.\nAnswer: g**(167\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/3 + 94*n**3\/3 - 97*n**2\/3 - 190*n\/3 = 0.\nAnswer: -95, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 10, o: 7}. What is prob of sequence oior?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111326*g**2 - 114242*g**2 + 233176*g**2.\nAnswer: 7608*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12389219580 rounded to the nearest one million?\nAnswer: 12389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 177792.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 5*p**2 - 5*p**2 - 98 as l*p**2 + w*p + x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10612.4715 + -10613. What is z rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 48057 = -14343. Round q to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m)*(7*m - 8*m + 0 + 1 - m**2).\nAnswer: -2*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-1 + (sqrt(55) + sqrt(495)\/sqrt(441) - sqrt(55)))\/((2*sqrt(140))\/(sqrt(7) + sqrt(7)*-2*5))*2.\nAnswer: 279*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -10. Which is bigger: -15 or j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1)\/1 + (-2565)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + (-39)\/(-9). Suppose 26 - 81 = -u*a. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 6*y + 84. What is the greatest common divisor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81139\/12 + -6752. Calculate the common denominator of 59\/33 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205539 is divided by 63449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/(14\/7308). Calculate the highest common factor of 156 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*i + 11 = -u, 0 = -4*u + i - 26. Let p(n) = n - 7 - 2*n + 3. Let r be p(u). Solve 2 = w - r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 9*h + 116. Determine c(-11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g**2. Let s(q) = -16860*q**2. Give i(s(o)).\nAnswer: -3695374800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7930?\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 11*s + 22 = 0. Is s at least 0.58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 294*f**4 - 7*f**3 + 8620 wrt f.\nAnswer: 1176*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x + 283*x + 2702 + 242 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 16. Which is the nearest to 1\/2? (a) 4 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250080251.\nAnswer: 17, 14710603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 7. Let y = t - -5. Let v = -1 + 3. Which is the closest to y? (a) 4 (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6)**(-4\/21) assuming s is positive.\nAnswer: s**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 - 21*m + 39. Calculate j(11).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-36))\/(2\/8). Let s(j) = -j + 13. Let g be s(11). Let y be 7\/(-35) - g\/10. Which is the biggest value? (a) n (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 469, 829, 1801, 3691, 6805, 11449?\n\"Answer: 51*i**3 + 3*i + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15464346*k**4 + 75234*k**2 + 75*k + 2.\nAnswer: -371144304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/h)\/((h*h**(5\/4))\/h)*h\/(h*(h**7*h)\/h)*h\/h**(-1)*h assuming h is positive.\nAnswer: h**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 3069*x - 46386. Calculate g(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 - 680*u**2 - 108 + 21 + (2*u - 4*u - u)*(u - u + 2*u) + 0*u**2 - 4*u**2 + 2*u**2 to g*u**2 + m + a*u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*o - 1. Suppose 0 = -o*f + 109 + 1323. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h**2 - 2*h + 15. Suppose 6*v - 6 = -2*s + v, 0 = 4*v. Suppose -3*f + 24 = s. Let i be q(f). Solve -1 - i = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 8. Let j be ((-2)\/10)\/(2\/(-25)). Let g = 812\/11 - 74. Which is the third biggest value? (a) g (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -1\/80*c**6 + 29\/420*c**7 + 3\/224*c**8 + 0 - 14*c**2 - 1\/8*c**4 - 29\/120*c**5 + 0*c**3 + c. Let v(k) = 0. What is k?\nAnswer: -3, -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 39.9. What is the nearest to 2\/7 in 3, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79222 times 2.1?\nAnswer: -166366.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 138 + (24 - 40) + -21\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 262495*l**2 + 3445312495*l + 3445050005.\nAnswer: 5*(l + 1)*(l + 26249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:45 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111677*v - 111822*v + 7685 = 0 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 473 = -99 - 929 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2322044042 + -1?\nAnswer: 2322044041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 420. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 7. Suppose 2*r + 2*p = 0, -87*r = -89*r - 4*p - 6. Let b(a) = 9*a - 13. Determine r*b(i) + 5*d(i).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 288 - 802 = 2096 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11891\/19000 - 2\/2375. Let x(y) be the first derivative of -1\/2*y + 1\/4*y**3 + j*y**2 + 7. Let x(r) = 0. Calculate r.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -0.2 (c) 5 (d) -2\/5 (e) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**3 - h + 2. Let u be w(1). Let k be 34*(u\/(-4))\/(-5). Which is smaller: -15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*l + 102*l - 102*l + (-5 + 5 - 2*l)*(-5 + 1 + 2) + 3*l - l - 3*l + 1 + l - 2 - 1.\nAnswer: 85*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + (9 - 13) - 167) + 31.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*96\/240.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/10*j**2 - 46\/5 + 93\/10*j = 0. What is j?\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 2 - (1 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132789 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 + 3. Let i = m + 1.3. Let n = -2 + i. Which is the closest to 1? (a) 0.5 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x - 31. Let p be j(5). Let r = p + 70. Suppose -22 = -r*u + 42. Calculate the least common multiple of 80 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 2866, 0.3, -4, 1 in ascending order.\nAnswer: -4, -0.5, 0, 0.3, 1, 2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.2692 micrometers to meters.\nAnswer: 0.0001512692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8059\/12 - 1357\/2. Let x(z) = z**3 - 4*z**2 + 4*z - 2. Let q be x(3). Calculate the common denominator of 52*1*q\/(-22) and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150496 rounded to the nearest one hundred?\nAnswer: 150500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -608, -1151, -1856, -2723, -3752, -4943?\nAnswer: -6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13))**(-7)*(c*c**(-5\/6))**6 assuming c is positive.\nAnswer: c**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947.4781 millilitres to litres.\nAnswer: 0.9474781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 5:29 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:45 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and 736.\nAnswer: 169.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*x - 162, -3*x + 266 = 2*x - 3*a. Calculate the highest common factor of x and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*o = -40*o - 339 - 345 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 9*f**3\/4 - 723*f**2\/2 + 17233*f\/4 - 13357 = 0?\nAnswer: 19\/3, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b - b**2 + 1\/60*b**5 + 0 + 1\/2*b**3 - 3\/8*b**4. What is the tens digit of r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -488*m + 486*m + 3*g + 2499, 3*m - 3*g = 3750. Calculate the greatest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - 6*g - 6. Let u be h(-4). Let k be 5\/(-3) - (-2)\/3. Let q = u - k. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -294*h**4 - 2*h + 577 wrt h.\nAnswer: -1176*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 709655348 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311589 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6845 + 6845.0001989. What is y rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = -9. Let q(v) = -v + 1. Determine q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 995473*x + 736539 wrt x?\nAnswer: 995473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -7*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 42. Let u be a(19). Suppose -4*d - 2*o + 22 = 0, -4*d + u*o = -1 + 9. List the prime factors of (142\/3 + -4)*d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38345 is divided by 6389.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763802 is divided by 1048?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 84461, 84480, 84499, 84518, 84537, 84556?\n\"Answer: 19*v + 84442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/21 + (-34)\/(-6). Suppose 3*c + 5*h - 16 = 0, -c + 3*h + h - k = 0. What is the remainder when 63 is divided by 1\/c*-2*(0 - 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234*s**3*z**2 + 2*s**2*z**2 - 24*s**2 - 2*s*z wrt s?\nAnswer: 1404*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38245483037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1837746104 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*2*-5)**2 - sqrt(1008)) + sqrt(1008)*-2*-1.\nAnswer: 12*sqrt(7) + 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11478*c - 11383*c - 9*c**3 + 22861*c.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 + 0*k**2 - 31 + 4*k**2 - 5*k**3 - 42 in the form w*k**3 + g + y*k + o*k**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52304845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 231 + 1?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rpssprrspsprrrp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7954 divided by -7954?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r - 4*p, -6 = -4*r - 0*r - p. Suppose -2*g = r*m - 32, -2*g + 3 = -4*m + 1. Let t = 15 - g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/2 - 2*d**3 - 3*d**2 - 2*d + 17. Let y be u(-2). Suppose y*m = -4*z + 634, m = 3*z - 405 - 83. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 374 + 276. Suppose 650 = 3*j + u. Factor j*i + 0 - 3\/4*i**2.\nAnswer: -3*i**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 58, 26, -18, -74, -142?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16) - (-23)\/4. Suppose 3*v + f = -6. Let g be (-2)\/v + -1 + -1. Sort 1\/8, -4\/7, g in decreasing order.\nAnswer: 1\/8, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + 14 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/68625 and 1\/82350?\nAnswer: 411750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/3 + b**2 - b + 8. Let m be u(1). Suppose -4*t - 80 = -5*i + 107, 2*i + 3*t - 84 = m. Is i a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 7*c - 2*c. Calculate the remainder when c is divided by (-18)\/(-4)*9\/((-756)\/(-56)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.5. Suppose -12*m + 13*m = 2. Let x be (-33)\/12 - -4 - m. Which is the nearest to -2? (a) -1 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(448) - sqrt(448)*-2))\/(sqrt(144) - -3*sqrt(144)*2))**2.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.44 + -7.14. Let j = -0.2 - 0.2. What is the nearest to -1 in j, -4, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76084, -152185, -228286, -304387?\n\"Answer: -76101*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.774828 milliseconds?\nAnswer: 2774828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -29*m + 9. Let r(v) = -10*v + 3. Let c(d) = 17*r(d) - 6*w(d). What is c(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - 3. Let r = x + 80. Sort 1\/2, -0.3, r in descending order.\nAnswer: 1\/2, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 23\/10*h**6 - 1\/21*h**7 + 0 + 0*h**5 - 61*h + 0*h**4 + 0*h**2 - 19\/2*h**3. Find the second derivative of w(t) wrt t.\nAnswer: -40*t**3 + 828*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 100. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 9. Let v be k(4). Let l(r) = -2*r**2 + 0*r**2 + 1 + 5 + 6*r. What is l(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b - 88*b - 315 = 5*g, -8*b = -3*b + 4*g + 199 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/72 + -4*(-5)\/180. Suppose 1\/4 + i*x**2 - 1\/2*x**3 - 3\/4*x**4 - 1\/4*x**5 + 3\/4*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09773527 * -42.\nAnswer: 4.10488134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + i + 2*i + (-6*i + 2*i + 2*i)*(-12 - 3 + 0) to u*i + h and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -32?\nAnswer: 117\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595396933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 25*t - 19. Let d(q) = -14*q**2 + 74*q + 57. Let b(x) = -6*d(x) - 17*k(x). Let n be b(-12). Let h = 79 + n. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -58*w + 62*w + 5*w**4 - 7*w**2 - 3*w**3 + 2*w**2 - w**5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*m\/(m*m\/(m*(m\/m**9*m)\/m))))*m**(-2)*(m*(m\/(m**10\/m)*m*m)\/m)\/((m*m**(-2)\/m*m*m)\/m))**(1\/24))**(1\/3) assuming m is positive.\nAnswer: m**(-13\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 smaller than -2066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -548 - 1847*i - 9*i**2 + 1845*i + 4*i**2 - 3*i**2 as x + o*i + u*i**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/420*-6*-14. Is x >= 1\/1983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5929, 11866, 17719, 23440, 28981, 34294?\n\"Answer: -8*f**3 + 6*f**2 + 5975*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 26*n**2 + 0 + 24*n**2 + 151*n to the form x + j*n + r*n**2 and give j.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-425) - 1\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3311 - 12*l + 34*l + 743 - 20*l.\nAnswer: 2*l - 2568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -51 - (5 + 25 + -11 - 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0*b + 3 + 2*b)*(-3 + 2 - 8)*(-3 - 226 - 77) as r*b + q and give q.\nAnswer: 13770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 4*a**2 - 800*a**3 + a**2 + 794*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n + 3. Suppose 33 = 4*b - 5*o, 3*b + b + 5*o + 17 = 0. Let z be h(b). Let l = z - -19. Solve -3*g - 2*v + l = 0, 1 = -v - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.033995 and -0.1.\nAnswer: -0.133995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*z + 12 = 0, -22 = 4*d - 0*z + 3*z. Let b(c) be the third derivative of c**4\/24 - c**3\/3 + 11*c**2. Calculate b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 107?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3105 - 3090. Let t(q) = -q**3 + 14*q**2 + 13*q + 31. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2089\/2*-2)\/(-1). Suppose x - 565 = 6*t. Suppose -t = -5*f + 96. Calculate the smallest common multiple of f and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -321, -1.7, 26, -26\/3, -2, 1\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12) - (1595\/(-30))\/11. Put -40, -5, f, 11 in ascending order.\nAnswer: -40, -5, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, b: 9, g: 3}. Give prob of sequence gab.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o. Let t(s) = -60*s**2 - 411. What is h(t(b))?\nAnswer: -120*b**2 - 822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-406)\/(-8) + (-2)\/(-8). Suppose 0 = 4*y + m - 93, -3*y - m + 4*m + f = 0. What is the smallest common multiple of 6 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3954*f**2 - 3951*f**2 + 7895*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 11*n**2 + n - 1. Let t(a) = 2*a**3 - 24*a**2 - 2*a + 2. Let k(j) = -6*t(j) - 13*y(j). Suppose x = -x + 4. Let r = x - 1. What is k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 41. Solve 2 + i = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - -5) + 6 - -18) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3749\/17 or 220?\nAnswer: 3749\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 3*i + 10, 5*i = -4*y + 178. Let w = y + -84. Let a = w + 53. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 6 (c) -3 (d) 3 (e) 155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3608 and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 - 2*a**4 + 7*a**2)*(5*a + 5*a - a).\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-4 - -3) - (-15 - -20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p + 1. Let u(c) = -28*c - 5. Let h(j) = u(j) + 3*v(j). Let n(t) = -2*t - 6. Give -8*h(f) + 3*n(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0317 - 184.0317. Let g = 121.6 + p. Round g to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5)*a*a\/(a\/(a*a*a**(5\/4)*a*a)))\/((a\/a**(5\/2))\/(a\/(((a*a**9*a)\/a)\/a))))\/((a*a\/a**(2\/19))\/(a\/(a**2*a)))**20 assuming a is positive.\nAnswer: a**(-29847\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 3)*(5 - 1 - 6) - 97 - 173 + 208)*(39*a - 19*a + 59*a).\nAnswer: -4582*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017 is divided by 216.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63083, 504945, 1704281, 4039829, 7890327, 13634513?\n\"Answer: 63123*y**3 - y**2 + 4*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-219)\/15 + (-5)\/((-25)\/(-2)). What is the tens digit of (k\/9)\/((-3)\/171)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 18 = 25*v. Let g be 6\/v + 5\/3. Solve g*r - 5*r - 3*t = -9, t = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 130*d**3 - 1125*d**2 + 3500*d - 2500.\nAnswer: -5*(d - 10)**2*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {s: 6, h: 1, g: 1, l: 4, f: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) + (sqrt(78)*-3 - sqrt(78)))*-4)\/(sqrt(48)\/((sqrt(8) - sqrt(40)\/sqrt(5))*1 - sqrt(8)))*3.\nAnswer: 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 1, h: 1, j: 2, r: 3, v: 2}. What is prob of picking 1 t and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*h - 7. Let i be 2400\/1*(2 - (-7442)\/h). Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 22 = 8*k, 19*w + 24*k - 623 = 28*k for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 38*l - 134 - 509 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 7, 10\/67, 1\/3.\nAnswer: -0.2, 10\/67, 1\/3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:09 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 27*u**6 - u**2 + 25*u**6 + 11 wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r = 90. What is the tens digit of 12\/3*r\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/4 - 7*q**3\/3 - 9*q**2\/2 + 8*q - 4. Let u be y(8). Let a(f) = -f + 6. Let h be a(9). Is u less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004109 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 109483800 rounded to the nearest 1000000?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 41.9. Let k = 256 - 775\/3. Let j = -5\/2 - k. Put p, j, -2, 4\/5 in descending order.\nAnswer: 4\/5, p, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 10 + 6)*(-4 + 3*r + 4)*(-2*r**4 + 0*r**2 + 0*r**2 + (-2*r**3 - r**3 + 4*r**3)*(r - 1 + 1)).\nAnswer: 33*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 883919745 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133708 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*m + 304 = 52*m - 1724 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/40 and 91\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = 2*m + 4*u, -2*u = 5*m - 1438 - 134. Is 318 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4 - 4*l**2 + 3*l**2)*(-12*l - 11*l + 30*l).\nAnswer: 7*l**3 - 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000395133082 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1521937943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l + 19. Let r be d(-4). Suppose -5*o = -5*g - 5, -4*g + r = 3*o + 10. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 - 5*t - 6. Let h be u(9). Which is greater: 29 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 451180448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 1\/4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12483*s**3*u + 17*s*u + 23*s - 8*u wrt s?\nAnswer: 74898*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.2. Let f(p) = -6*p**3 - p**2 + 24*p + 24. Let l be f(-1). Which is the second biggest value? (a) i (b) 0.5 (c) 3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:14 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207228?\nAnswer: 2, 11, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16731362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*y - 1396, -5*y = -2*b - b + 1047. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence can when three letters picked without replacement from {g: 2, a: 1, c: 7, t: 3, n: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25123 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10622500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15587105, 15587127, 15587149?\nAnswer: 15587171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 + 230.57. What is n rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381147 is divided by 190573.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gblbbglgbll. Give prob of picking 2 l and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16285045811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 0, x - 30 = -3*w - 0*x. Let r = -34 + w. Let l = r - -25. Solve -30 = -5*v - b, -2*v - l = -b - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*o + 63, -4*d + 2*o = -2644 + 2702 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 + -100. Let w = u + -80. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 30. Suppose -3*v = 3*f + 24, -v + 50 = -4*f + 4*v. Let h be i(f). Let b = 2 + h. Solve -n + 2 = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(8 - (-5551)\/(-693)) + (-12)\/(-22)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(2\/(((-28)\/6)\/(-7)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 856472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23517, -22927, -22327, -21717, -21097?\nAnswer: -20467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -42, -185, -460, -909, -1574, -2497?\nAnswer: -3720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t**3 + 6*t + 5. Let r(v) = -47*v**3 + 17*v + 14. Let m(o) = -17*g(o) + 6*r(o). Suppose -y + 17 = -4*c, 68*c - 12 = 71*c. Determine m(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**7\/42 - n**6\/30 + 3*n**5\/5 + 7*n**4\/3 + 8*n**3\/3 + 399*n. Factor k(o).\nAnswer: -o*(o - 4)*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0462, -227, 1\/3?\nAnswer: 0.0462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (-3)\/(-4 + 2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4\/3 - 25*u**3\/3 - 40*u**2\/3 - 20*u\/3 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(459)\/(sqrt(90)\/(sqrt(20)\/sqrt(2))))\/((sqrt(36) - (sqrt(36) - (sqrt(36) - sqrt(576) - sqrt(36))*-2))\/sqrt(12)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 17079?\nAnswer: -5123.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, 21 in descending order.\nAnswer: 21, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-36))\/((30\/(-16))\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 + b**3 - 7*b**3 + 27*b**3 - 15*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -690658.437 rounded to the nearest 10?\nAnswer: -690660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 776 = 200. Which is the nearest to 1\/3? (a) g (b) 4 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430293.9 plus 0.28587?\nAnswer: 1430294.18587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 33*m - 878. Give g(29).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -2428, 10 in increasing order.\nAnswer: -2428, -4, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 241 + 244 - 468 - q**2. Determine a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(56) + -1*sqrt(6776)))\/(sqrt(16)\/(sqrt(6)\/sqrt(3))).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(243) + 0) + -4.\nAnswer: -9*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 12392*k**2 + 553678*k + 541288 = 0.\nAnswer: -6151, -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/1)\/(((-1125)\/(-45))\/900).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehkkkkeehxbkekke. What is prob of picking 1 b and 1 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:10 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32\/15655 in 4\/9, 5, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {j: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1980216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = 4*d, -3*z = 2*z + 4*d + 10. Suppose 5*s - 5*o - 50 = -o, 0 = s - 2*o - 16. Let w = 11 - s. Sort 0, w, z.\nAnswer: 0, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:21 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4796*a**3 - 25*a + 25*a - 4815*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -245*b*k**3*t**3 + 2*b*k**3 + 2*k**3 + 698*k**2*t**3 wrt b.\nAnswer: -245*k**3*t**3 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -278253 divided by -3\nAnswer: 92751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 2*k + 1. Let o be s(-2). Suppose o*n + 10 = 10*n. Factor -n*c**3 - 6*c + 6*c + 6*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from {c: 2, s: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i - 65. Let k = -58 - -66. List the prime factors of d(k).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 2\/7, 4, -22, 2\/57?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122318 is divided by 6391.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76) + -5 + (sqrt(76) - (sqrt(76) + -1 + 0 + sqrt(76)))**2.\nAnswer: -2*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 280*u - 263*u - 5423. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1170)\/(-135))\/((-2)\/3*1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8) + 26\/(-4). Let o(v) = -2*v + 1. Let s be o(g). Let k be s\/18 - 1\/(-6). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27898383.\nAnswer: 3, 229, 40609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**26)\/g)**(-39) assuming g is positive.\nAnswer: g**(-1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2)*(-5 + 10). Let k be j + 4 + 3\/1. Solve -b - 5 = -k*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7*s - 6 = 9*s, 0 = -2*f - s + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*3*sqrt(216))\/((sqrt(144)*1)\/sqrt(12) + sqrt(12) + sqrt(12) + sqrt(36)\/sqrt(3)*4).\nAnswer: -18*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 42*r = 62*r - 670 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let q be (-2 + (2 - 0))\/(-2). Let h(n) = 3 - 3 + q - 6*n. Give h(r(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 290195950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 16 + 6*v - 17*v)*(3 + 2 - 1) in the form g*v + o and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - -0.94. Let d = z - -1. What is the third smallest value in -1, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4092 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 62*f - 1. Let w(x) = -124*x + 2. Give 5*s(u) + 2*w(u).\nAnswer: 62*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 79 = -3*x, -3*x + 89 = -0*x + 5*t. Let n = x + -54. Let b be (-3)\/n - 1\/2. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 2, f: 2}. Give prob of picking 1 g, 2 f, and 1 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(6) + sqrt(32) + -1)**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -6 + 3 - (82 + -194 + 18)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 100172907 - 4*s**2 + 100172907.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-180))\/(4\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 5*j**2 - 3. Let n(f) = f**2 + 2*f + 1. Let t be n(-3). Let x be p(t). Let z = -21 + x. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29 + -32468?\nAnswer: -32464.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((3237\/(-156))\/(-83))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24424, 48856, 73292, 97732, 122176, 146624?\nAnswer: 171076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*w**4 + 21*w**4 - 18*w**4 + (-w**3 + 7*w**3 + 4*w**3)*(-5 + 5 - 2*w) - w**4 + 3*w**4 - 4*w**4.\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712891.\nAnswer: 113, 179, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 679, 1475, 2417, 3493, 4691, 5999, 7405, 8897?\n\"Answer: -2*m**3 + 85*m**2 + 555*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 (base 9) in base 4?\nAnswer: 221030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1562 + 1563. Let h be (-16)\/14 + (0 - -1). What is the nearest to -2 in h, m, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*f**2 - 12 - 279*f**2 + 631*f**2 - 4*f**3 + 27*f to the form m + p*f**2 + w*f + g*f**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(42\/(-444)) + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 49\/5. Let f = 54 - 264\/5. Find z such that 6\/5*z**3 + s - 4\/5*z**2 - f*z = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 + -1 + 0. Let r be (z + -5)\/((-1)\/(-5)). Let q = -23 - r. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gajgg. What is prob of sequence aggj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4776 is divided by 2311.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i + 125. Determine f(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = 66*j - 715. What is the greatest common divisor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 43*v**2 + 68*v + 35. Let t(n) = -108 + 4 + 157*n**3 - 128*n**2 - 319*n**3 + 158*n**3 - 204*n. Let i(o) = -8*q(o) - 3*t(o). Factor i(g).\nAnswer: 4*(g + 1)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289255 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 17, -2\/3, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 104700 to the nearest 1000.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54055 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**5\/30 + 11*a**2\/2 + 20. Let p(j) be the second derivative of c(j). Let s(q) = 16*q**2. Calculate s(p(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023 a factor of 345075123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1708 - -1707.5. Sort f, -285, -1\/3.\nAnswer: -285, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194977 by -6.\nAnswer: 194977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.257072 rounded to three dps?\nAnswer: 5.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1030.629*-2.84\nAnswer: -2926.98636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1062*o*z**3 + o*z**2 + 1706*o*z - z**3 - 9*z**2 + 231161*z wrt o?\nAnswer: 1062*z**3 + z**2 + 1706*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 2*l**3 - 3*l**3 + 2044*l**3 - 27 + 27 - 2704*l**3 + (0*l**2 + l**2 - 2*l**2)*(-3*l + l + 0*l).\nAnswer: -657*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 2\/43 (c) -0.3 (d) 84 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 65592\/2303?\nAnswer: 65592\/2303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 111111?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/30 - 5\/120\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose p - 12 - 8 = o. Let t be (33\/44)\/(1*3\/20). What is the highest common factor of p and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -4) + (-4)\/40*-22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 7 - 5 - 3)*(19402*k**2 - 19402*k**2 - 218*k**3).\nAnswer: -654*k**5 + 218*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-1513)\/85 - 6082\/90 - 12\/54.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 19*a - 66. Let v(u) = u**3 - 7*u**2 + 8*u - 4. Calculate the lowest common multiple of v(6) and f(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225012571510.06 - -0.4.\nAnswer: 225012571510.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1542207377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-40) - (-3)\/(-12). Suppose 3*d - 5*z + 10 = 0, 0 = -d - 4*d + 3*z + 10. Suppose -2*r - r + 14 = 5*j, -d*j - 4*r + 17 = 0. Is j < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = -5*c + 1118. Suppose -109 = -44*f + c*f. What is the greatest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316627*p**2 + 41240*p**2 - 147055*p**2 + 401810*p**2.\nAnswer: 612622*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 56. Let a = -9 + m. List the prime factors of 205*(24\/5 + a).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 - 4*y + 2. Let s = -1 - -3. Let o be (-4)\/(-3)*3\/s. Is i(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6345)\/(-18900) - (-2)\/(-7). Let h(j) be the first derivative of -1\/16*j**4 + 1\/12*j**3 - 12 + 1\/8*j**2 - o*j**5 + 0*j. Factor h(t).\nAnswer: -t*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthssssth. What is prob of picking 2 t and 1 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*i - 8 = -855*i, 2*c = -c + 2*i - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.012 - 0.012. Let h = i + -33. Let a = h + -3.5. Round a to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guggggggguguugguugg. What is prob of picking 2 u and 1 g?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:18 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-60) + (20246\/1146)\/((-2)\/5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5451 + 7768. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14920768 and 2368?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(80\/12))\/((-30)\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-332)\/249*(-9)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248 + -202 + (-3 - (9 - (1 - 2))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzwhcjcttthtctc. Give prob of sequence wtc.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/6) - -1. Suppose 15 = -0*q + 5*q. Is q less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adxmuzd. Give prob of sequence ad.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 185, -1\/4, -2, 0.4, 1.5, 3.\nAnswer: -4, -2, -1\/4, 0.4, 1.5, 3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w**(-1)\/w*w)\/w))*w**5)\/(w*w\/(w**(2\/5)\/w))**(1\/80) assuming w is positive.\nAnswer: w**(1187\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4\/(-112)*-2*-2.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 4. Let r be 1\/(2\/(-36)*-2). Let u(o) = -4*o**3 - o - 1. Let i be u(-1). Suppose i*n = n + r. What is l(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 31103444?\nAnswer: -31103445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23620.773ms in minutes?\nAnswer: 0.39367955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685 (base 15) in base 4?\nAnswer: 11103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 4, 2, -7576, 1519?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.55 (b) 2181.68 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3581, -14336, -32261, -57356, -89621, -129056, -175661?\nAnswer: -229436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29264 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 164854016*n + 164854012.\nAnswer: 4*(n - 41213503)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 106.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76538220 a multiple of 2937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 18. Let h be (-5)\/(-2) - c\/(-8). Let t be 1\/h + (-225)\/(-60). Solve n - 5*n = t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**32*i**(-16)*(i*i**11*i)\/i*i*i**(-1\/26)\/i assuming i is positive.\nAnswer: i**(727\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 30\/(-4)) + (-1)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from {n: 1, y: 4, c: 2, k: 4, h: 5}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/15 and 26\/218013.\nAnswer: 1090065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 28*b + 138. Let f be ((-18)\/(-10))\/(84\/280). Let l be x(f). Calculate the highest common divisor of 123 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 - 3288*s**2\/7 + 19350*s + 1169492500\/7.\nAnswer: 2*(s - 1075)**2*(s + 506)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -272 + 957. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63925577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in -1, -7\/31, 2\/7, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -12*f + 6*f. Put -0.1, 1\/3, -2, f in decreasing order.\nAnswer: f, 1\/3, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 9. Let b be 20\/50 + 46\/k. Is b < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 7*c - 52. What is n(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 457, 714, 1219, 2056, 3309, 5062?\nAnswer: 7399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/(q**(-2)\/q)*((q*q*q\/q**0)\/q)**(-10))\/((q\/(q*(q\/q**(-3\/2))\/q))\/(q\/q**5))**8 assuming q is positive.\nAnswer: q**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6) + -4)*-345*44\/(-330).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-806)\/4)\/(4\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -4\/5, -1, 2, 25, 0.04?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -296025 + 0.6\nAnswer: -296024.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 3 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 85a3?\nAnswer: 8585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*b + 2*r - 67, 4*r + 96 = 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggffgtvffvt. Give prob of sequence tv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 14796?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 1, r: 1, a: 1, f: 5}. Give prob of picking 2 f, 1 r, and 1 a.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmtcctmtmumctmmcmm. Give prob of sequence mm.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + -26. Let i = -125.99999475 + d. What is i rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5234703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 627319169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -297*p + 1. Let t(v) = -13*v. Determine s(t(y)).\nAnswer: 3861*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - ((-82)\/(-21) + -2). Let f = j - 3\/7. Is f smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(204)*-2*-2)\/(-1*sqrt(300)*6))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 2 - 1)*(5*t - 2*t - t) + (-5 + 5 + 2*t)*(0 - 1 - 1) + t + t + t as u*t + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -67. Let o = -3 - 0. Put 1, o, t in descending order.\nAnswer: 1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let n(g) = -58160770*g**2. Calculate n(p(b)).\nAnswer: -58160770*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.3. Let c = -2 + 0. Let o = 833.3 - 833. What is the nearest to -1\/7 in c, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 20*y - 1539 = -1526. Which is bigger: y or -2\/2499?\nAnswer: -2\/2499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -89*w - 671. Is r(-19) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 - 262*n + 937. What is j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 8)*(t - 2*t + 3*t) - t + 148 - 40 - 48.\nAnswer: 13*t + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, 1, 4, -10, 113 in decreasing order.\nAnswer: 113, 20, 4, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3930 divide 281686680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + x + x**4)*(-12 + 32 - 1) to q*x**4 + k*x**3 + w + a*x**2 + o*x and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417 - -417. What is the third biggest value in 0.2, 0.042, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394700.\nAnswer: 2, 3, 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(2))*2 + -4.\nAnswer: -15 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 3. Suppose -5*u = 64 + 216. Let r = u + 50. What is h(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**3 - 17*s**2 - 3. Let t be -2*1 + -18 + 3 + 0. Let r(k) = -444 + 885 - 6*k**2 - 2*k**3 - 442. Calculate t*r(n) + 6*v(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(-d + 0 + 0)*(-22 + 3 - 8) + (-1 + 1 - d)*(1 - 1 + 1) in the form p*d + h and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/26, 2\/7, -2, -0.4, -1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, e: 3, z: 7}. What is prob of picking 2 e, 1 z, and 1 p?\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04237813 * 27.\nAnswer: -1.14420951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6298.99 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 19 = -5*c - 9*b, -c + b + 3 = 0. Solve -5*l + v + 3 = 3*v, -c*l = 2*v - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 34*t**2 - 56*t - 44. Let k(m) = -15*m**3 - 475*m**2 - 785*m - 615. Let q(w) = -55*c(w) + 4*k(w). Factor q(b).\nAnswer: -5*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*l = 1578 - 6154 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*j**4 + 213*j**4 + 65*j**4 + 233*j**4 + (j**3 - 4*j**3 + j**3)*(-2*j - 2*j + 2*j) + 0*j**4 + 4*j**4 - 2*j**4.\nAnswer: 429*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + 3\/15. Suppose 3*j = 12, u*j + j - 8 = -4*r. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -330*x**4 + 5 + 18 + 325*x**4 - 40*x**3 + 40*x + 12 - 30*x**2.\nAnswer: -5*(x - 1)*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*v - 367, -5*b + 3*v + 244 = -208. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Suppose -p*w - 2*f + 13 = -w, w = -4*f + 1. Suppose w*v - 95 = -30. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168733 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7836493183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1196\/9 + 133. Let p = 71.55 + -76.55. Let x = -3 + 0. What is the second smallest value in h, x, p, -4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -1\/4*f**4 + 2*f**2 - 2*f**3 + 13 + 0*f. Let u be c(-7). Calculate the highest common factor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654*f = 658*f - 1176. Is 42 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15747569 and -5.\nAnswer: -78737845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 + -182. Which is bigger: -2\/795 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -134\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 260 = 3*l. Let o(c) = -c**3 - 6*c**2 + 5*c - 3. Let m be o(-6). Let v = m - l. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2. Suppose p + 0 = 3*m - 5, -3*m = p - 7. Let y(b) = b + 1. Let c(u) = -5. Let o(z) = p*c(z) + 5*y(z). Give g(o(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x - 20. Let h be a(-4). Which is smaller: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)\/a)**(-40)\/(a*a**(-1)*a)**(-35) assuming a is positive.\nAnswer: a**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 401514027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67\/5 of a millimeter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14066120.\nAnswer: 2, 5, 351653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a**5 - 2*a**4 + 2*a + 20 wrt a.\nAnswer: 400*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o)\/(o**(19\/5)*o))\/((o*(o**(-19)*o)\/o)\/o*o*o*o**22) assuming o is positive.\nAnswer: o**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -81+38.16487\nAnswer: -42.83513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*j**3*y + j**3 - 43*j**2*l*y - 2*j**2*y - 6*j*l + 270*j*y wrt j?\nAnswer: -54*j*y + 6*j - 86*l*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/64662 and 41\/3.\nAnswer: 64662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - (-7)\/(-112)*-28. Suppose -4*u + 854 = a*w, 0 = u + 7*w - 3*w - 203. What is the highest common divisor of u and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335033218 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + 0*r + 1\/120*r**6 - 1\/24*r**4 - r**2 - 1\/60*r**5 + 0*r**3. Let p be 3\/(-15) + 4\/(-20)*-1. Determine v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 55. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-1 + 4))*8. Suppose 4*l + u = -2*p - 8, -2*p - 10 = 2*l. Is 18 a factor of 3 + 58 + l + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -426814\nAnswer: 3\/426814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/20 + x**4\/2 - x**3 - 3*x. Let r(j) = j**3 + 7*j**2 - 7*j. Let w be (-1 + -3)\/(2\/3). Give w*r(l) + 7*c(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 74.\nAnswer: -11\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, 1, 2.6, -964, -10, 0.3, -3?\nAnswer: -964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2)*(-3)\/(-4). Let b be (-2)\/(-17) + 6500\/1105. Put b, z, -2 in descending order.\nAnswer: b, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 31 = -2*b - t, -3*t - 47 = 4*b. Let j be 27\/((b\/(-10))\/4). What is the common denominator of ((-4)\/50)\/((-12)\/j) and -41\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-20))\/(21\/(-70)))\/(18\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.2704 + 29.2. Let m = -0.0223 - z. What is m rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00144 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-13))\/(3\/(-15))*(-6)\/135\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-100))\/(-3*5\/(-140)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 674 + 1066. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 73*a + 78*a = -25, 10 = -3*n - 2*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 22, -203, 1210 in descending order.\nAnswer: 1210, 22, 2, 0, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 301 - 356. Let d = c - -217. Let x = 0.2 + -0.2. What is the closest to 1 in 5, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4*l**2 - 6*l + 7. Let u(o) = -o**3 - 3*o**2 + 5*o - 7. Give -6*u(m) - 5*z(m).\nAnswer: m**3 - 2*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + -82991150625.\nAnswer: -82991150790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/30 + w**5\/60 + w**4\/24 - w**3\/2 - 3*w**2. Let i(g) be the first derivative of y(g). What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45264*q**3 + 90529*q**3 - 45267*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:15 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268\/35535 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -2\/409, 0.2, 3 in increasing order.\nAnswer: -0.3, -2\/409, 0, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 62142.88 millennia?\nAnswer: 6214288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10158?\nAnswer: 2, 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10364, 10298, 10176, 9992, 9740, 9414?\nAnswer: 9008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a9 (base 11) in base 8?\nAnswer: 7054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45805968 rounded to three decimal places?\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alaltallalallla. Give prob of picking 1 t, 1 l, and 1 a.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1202)\/(-15) + 186\/(-1395) and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 168492*y**4 - 23*y**2 - 243829*y + 18 wrt y.\nAnswer: 40*y**3 - 2021904*y**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -329*z**2 - 405 wrt z.\nAnswer: -658*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + 25 - 4770\/315\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 0*j**3 + 0 - 4 + 0*j - 4*j**2 - 4*j. Let a be u(-3). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3854888 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4*13 + 3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1753671 or -1753672?\nAnswer: -1753672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -83, 5 in ascending order.\nAnswer: -163, -83, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*d - 2*d + 1 - d - 4 + 4 + d + 4*d - 6*d - 3*d + d + 4*d + (-d + 2*d - 3*d)*(-2 - 1 + 1) in the form j*d + g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2565708 or 2565709?\nAnswer: 2565709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -157466 bigger than -157468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -61 - 5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 54 - (0 + -5 - -2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 3*d**3\/2 + d**2\/2 - 5*d - 2. Let l(z) be the first derivative of s(z). Calculate l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (436\/20)\/(-1) - 432\/168*-7\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 9 = 0. Suppose -w*p + 7 + 5 = 0. Suppose 10 = 5*k - 2*i, 0 = 5*k - p*i - i - 10. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from mpbbjymj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 195 + 137 - 2*a**2 - 332 - 552*a**3 to the form i + n*a + m*a**2 + h*a**4 + p*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1026*c**2*w**2 + 9366*c**2 + 13*c*w**2 - 794018*c*w wrt c.\nAnswer: 2052*w**2 + 18732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 888252.05199 and 0.\nAnswer: 888252.05199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Let x be (-1246)\/(-7)*(0 + z). What is the common denominator of 71\/4 and 0 - (x\/36 - -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 115. Let h(x) = -36*x - 690. Let o(q) = -6*c(q) - h(q). Suppose v = -v + 2. Give o(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 816829767556 and -0.5.\nAnswer: 816829767555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11452 or -11453?\nAnswer: -11452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/334549872 and -115\/111516624.\nAnswer: 334549872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z. Let l(d) = -40*d**2 + 33*d**2 - 8*d**2 - 56*d**2. Give l(v(y)).\nAnswer: -3479*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 1430 - 1424. Let j(q) = -24*q + 156. Let i be j(g). Solve i*c - 3*c = 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 - 5*m**2 - 131*m**2 - 94*m**2.\nAnswer: -230*m**2 + 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 + 2 = -3*g. Solve -g*t - 10 = -4*b, -2*b - 10*t = -5*t - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17681 divided by 11\nAnswer: 17681\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-43)*l*l)\/l**(4\/13))**(2\/89) assuming l is positive.\nAnswer: l**(1188\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(18 - 18 + 6*l) + 3*l + 3*l + 3*l + l + 4*l + 0*l + 0*l - l + 0*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2858179*b + 1. Let s be y(-4). Let c be 2\/(-8) - s\/(-4). Suppose 5*m + 941821 = -c. What is m rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**7\/315 + b**6\/180 + b**5\/45 + 9*b**2. Factor t(f).\nAnswer: -2*f**2*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 551 * -6.\nAnswer: -3306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 51*k + 648 = 0. Is 59241\/8 + k\/(-576) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -19 - (-11 - ((0 - 4) + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202102020012 (base 3) in base 4?\nAnswer: 23222311223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019301 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923095319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/75*(-2)\/(-8)*5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(95) - 5*1*sqrt(95))\/(sqrt(55)\/(-1*sqrt(11))) - ((1 + sqrt(19))*4 + 6*(-2*sqrt(19))**2)*2).\nAnswer: -916 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63410.64 minutes in nanoseconds?\nAnswer: 3804638400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15179 + 15178. What is the biggest value in 1, -5\/66, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(114)*-2 + sqrt(114) + sqrt(114) + sqrt(114)) - sqrt(114)) + sqrt(114))\/((1*sqrt(24))\/sqrt(4)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpnekpppecjjkceeeee. What is prob of picking 1 e, 1 p, and 1 n?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3*h = -u - 14, 0 = u - 5*h - 14. Solve 1 = 3*y + 2*v, v - u*v + 9 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-597*j**3 + 161*j**3 + 181*j**3).\nAnswer: -1020*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhgahgraggr. Give prob of sequence gh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159656206539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 205*w - 34. What are the prime factors of y(-19)?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(1 - -5 - ((-54852)\/9144 - -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 14*t + 8. Let w be d(8). Solve 15\/2*j**3 + w*j**4 - 3*j**2 + 27\/2*j**5 + 0 + 0*j = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from {s: 2, z: 1, l: 3, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -14 - 0. Let l(s) = 2*s**2 - 3*s - 6. Let u be l(a). Suppose -2*y + u = 5*t, -4*t = 4*y - 2*y - 90. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16455*o**3 - 16464*o**3 - 37946*o + 37946*o.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45\/4 - 12. Let x = b - -9\/4. Let u be (-2)\/4 - (-35)\/14. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-324))\/5 + 160\/702 + 177\/(-390).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 7. Let h(g) = 7*g**2 - g**2 - 5*g**2 + 15 - 7*g. Let y(d) = 3*h(d) - 7*p(d). What is the derivative of y(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -181.51 (b) -1257 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416 + 846. Suppose 0 = 5*g - 4*p - 2096, -6*p + 4*p = 3*g - l. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + 9. List the prime factors of c.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42\/11, 0.595, 5?\nAnswer: 0.595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079114426 rounded to four decimal places?\nAnswer: 0.0791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {t: 3, i: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 + 5*k - 14. What is the smallest common multiple of 170 and a(-6)?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 21*x + 29*x)*(0 + x**2 + x + 0).\nAnswer: 18*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69 + (-73 - -93 - 9)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 + 3 - 25*u + 7 + 5*u**2 - u**3. Let d = -1041 + 1051. What are the prime factors of b(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/12)\/(1*3\/(-9)). Let o be (3\/9)\/(2\/6). Suppose -d = -o - 0. Put t, d, -4 in ascending order.\nAnswer: t, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2 (base 15) to base 6.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = -263 + 343 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1521336 and -35\/19587201.\nAnswer: 156697608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34254?\nAnswer: 2, 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i + 186. Suppose -2*j + 3*n - 39 = 20, -5*j - 4*n - 159 = 0. Let r be o(j). Solve r*p = -6*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*b**3 + 90*b**3 - 46*b**3)*(-2*b + 2 - 2).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35589 is divided by 1976.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:21 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13090 - -13098. Suppose -4*x + 19 + 69 = 0. What is the remainder when x is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 13*a - 12184906 - 6798446. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**3 + 101*z - 101*z + 16*z**3 + 390369 - 390369 + 7*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 1, n: 1, k: 4}. Give prob of sequence tkdn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**8\/112 - f**5\/30 - f**2\/2 + 2*f. Let q(z) be the first derivative of k(z). Find the third derivative of q(n) wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 24 = -42*w. What is the units digit of (-2302)\/(-6) + w\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6293 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/192 and 151\/14064.\nAnswer: 56256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4294 is divided by 1038.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -340 + 356 + (-8 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -67. Suppose 0 = -4*x + 4*a + 64, -5*x + j = -0*a + a. What is the remainder when 69 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129714340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 78. Let h = -50 - n. Solve -4 = i - h*w, 0*i + 11 = -5*i + w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -206, -291, -376, -461, -546?\n\"Answer: -85*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/16)\/(15\/20). Which is the second smallest value? (a) n (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1471*w - 7346. Determine v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8027*h - 4023*h - 1180 = 4024*h for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 296 + -295.6. Which is the third biggest value? (a) 3\/7 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 - 564*j**3 - 36428*j**2 + 375540*j + 411400 = 0. Calculate j.\nAnswer: -55, -1, 10, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1772*p - 124*p = -141*p + 44725 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327053317*j**2 + 277979157*j wrt j.\nAnswer: 654106634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:28 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 16 - 16 + (4 - 2 - 3)*(-2*p + 0 + 0).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {o: 2, w: 1, e: 1, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -24414.62459 to the nearest ten.\nAnswer: -24410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8247?\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -77. Suppose 5*n - z - 146 = 0, -2*n - 3*z - z + h = 0. Calculate the remainder when n is divided by 52\/20 - -5 - (-2)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/4 + 45051*b\/2 + 90105\/4 = 0. What is b?\nAnswer: -1, 30035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*f + 2*t, f - 3*t - 32 = 2*t. Suppose -f = -2*v + 143. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + 10\/(-6) + 1. Let h be 7 + (q - 0 - (4 + 0)). Suppose -3*b - 5*f + 252 + 356 = 0, -4*b - h*f + 829 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:54 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-16)*67\/469*56\/3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/522 and -43\/126.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + 4.7. Which is the third biggest value? (a) k (b) 1\/6 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 30. Let c be (15\/10)\/((-3)\/(-14)). Suppose -10 = -c*l + 6*l. Calculate the least common multiple of l and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2450 and 21367675?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 4. Let c(f) be the first derivative of 2*f**2 - 4*f - 578. Give -5*c(u) - 6*l(u).\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*sqrt(1470))\/(sqrt(30)\/(sqrt(20) - sqrt(5))))**2.\nAnswer: 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 32\/10)\/(2\/5). Suppose 12*x - 8 = s*x. Suppose -x*v + 103 = -47. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**2. Let v(b) = -b**2. Suppose 0 = -26*n + 20*n + 6. Determine n*y(i) + 5*v(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(288\/(-192)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 4\/31469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**3 - o**2 + 20*o - 10. What are the prime factors of u(4)?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13*y - 8. Let a(p) = 3*p - 2. Let q(h) = -h**3 + 7*h**2 - 6*h. Let j be q(6). Let s be 2\/(1\/(j + 2)). Suppose s - 2 = g. Give g*m(o) - 9*a(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320a0 (base 11) in base 3?\nAnswer: 2101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 52. Let w(k) = 4*k**2 - 6*k. Let z be w(-5). What is the highest common divisor of l and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k*w**4 - 185*k*w + 2*k + 13*w**4 - 3*w wrt w.\nAnswer: -180*k*w**2 + 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 4*t + 16, 4*y + 4*t = -16. Suppose 5*z + l + 7 + 44 = y, -30 = 2*z - 2*l. Which is bigger: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/15*1*(-9)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 36245.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 1:42 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 14*v**2 - 65*v - 1454. Calculate c(-16).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-20\/3)*h)\/h)\/h**(-26))\/((h*h**14\/h)\/(h*(h**(-2)\/h)\/h)) assuming h is positive.\nAnswer: h**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13*d = -108. Solve 0 = -3*z + d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q - 216 = 0. Let y(g) = 28 - q + 2*g - g**2 + 29. What is y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581508, -5163059, -7744608, -10326155, -12907700, -15489243?\nAnswer: -18070784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-67.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:05 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-720)*6\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2 - 31230. Let p(r) be the second derivative of -5*r**4 + r**3\/6 - r. What is m(p(k))?\nAnswer: 120*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 550494*o**5 - 10*o**4 - 10237534*o.\nAnswer: 11009880*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/9 (b) -115181 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/5 >= -1212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, b: 3, r: 1}. Give prob of sequence bvv.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 26. Is m bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - -118. Suppose 0 = 5*c - 4*t - 319, -4*c - 4*t + 121 = -n. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.3, -2, -42, -1\/2 in decreasing order.\nAnswer: 12, 0.3, -1\/2, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 177168784, 177168791, 177168800, 177168811, 177168824, 177168839?\n\"Answer: f**2 + 4*f + 177168779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*(-4)\/104)\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1840261 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/9 + 14426*f**3\/9 - 402242*f**2\/9 - 282590*f\/3 - 47900 = 0. What is f?\nAnswer: -1, 30, 7185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 3, c: 2}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 > 2\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 11. Let o be (-1)\/(-2 + (-9)\/g). Let l be (6\/15)\/(1\/5). Do l and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2840 + 2846. Put -0.11, -2, l in ascending order.\nAnswer: -2, -0.11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832892772 to the power of 1\/2, to the nearest integer?\nAnswer: 28860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72059 is divided by 616.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.5 (b) -0.3 (c) 5 (d) 6.06 (e) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 60253909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63941 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**3 - 11*w**2 - 11. Let a = 127 + -127. Let q(j) = -15 + 6*j**2 - 5*j**3 + 21 + a*j**2. Calculate 6*f(r) + 11*q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55379520151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 187682149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.188 + 0.792. Let w = i + -0.60400721. What is w rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 10*q**2 + 8*q - 7. Let y be c(-9). Let i = -6 + y. Is (-150)\/i + (-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911771 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 38 = 4*b, 3*b + 3*c - 2*c - 38 = 0. Let a = b - 8. Solve -2 - 18 = a*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:35 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Suppose 5*g + 0*g = 0. Suppose 8 = 2*r - g*r. Sort r, -3, k.\nAnswer: -3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/(-1) - (-88)\/(-99)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424.27nm in kilometers?\nAnswer: 0.00000000642427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 8*s**2 + 17*s + 4. Let q be b(-6). Let m = 1270 - q. Solve 7\/4*n**2 - 5\/4*n**3 - 3\/4*n + m + 1\/4*n**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37955930, 37955923, 37955914, 37955903?\n\"Answer: -t**2 - 4*t + 37955935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Is 0 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*4\/50 + (-4)\/10. Sort 5, 3, v, -2\/9 in ascending order.\nAnswer: -2\/9, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + ((-1)\/(-7) - (-333384)\/8120).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 2*s + 8*s - 6*s**2 + 5*s.\nAnswer: -3*s*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13269\/(-875754)*(22\/80)\/(-1))\/(2\/(-5))?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 28, -5*d + 9*d + 2 = 2*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -157, -515, -1203, -2329, -4001?\n\"Answer: -18*h**3 - 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 - 8*x - 6. Let c be d(-6). Let s = c + 51. Let g be s*((-16)\/14)\/(-4). Solve 0 = -k - 5*p + 23, -4*k + g*p = 3*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 5, s: 4, m: 6, a: 4}. Give prob of picking 1 a and 3 m.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15554 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -189. Suppose 0 = 3*h + h - k. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 4*s, 5*s = d - 12. Suppose -8*k = -d*k - 2335. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*w + 4 = 74*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192175 by -1.\nAnswer: -192175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3294 + -9.7706. Which is the closest to 2\/5? (a) s (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 11*g - 11 - 124. Calculate the remainder when 1573 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 + 0 + 0)*(-432*g + 537*g - 480*g - 1) to the form i*g + a + w*g**3 + l*g**4 + m*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 2*g**3 - g**2 - 5*g**3. Let s be y(-1). Let w(z) = -16*z - 46. Let o be w(-4). What is the highest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:33 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (1 - -1))*1. Let v be (-6)\/9 + (-29)\/i. Let o(n) = n - 3. Let q be o(v). Which is smaller: q or 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -3. Let t(a) = a**3 + 9*a**2 + 6*a + 7. Let d be t(k). Let f = -2 + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -0.45. Let m = 27.37 + w. Let r = m - 69. Is -1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3396 = u - 2*q, 0 = -4*u - 5*q + 8462 + 5122. Is u a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.4 - -117.4. Let x = f - 96.999929. Round x to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 265 = 4*x, 14*x - 12*x - 115 = h. Let t be 25*1 + (0 - 1). What is the greatest common factor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**6\/2 - 9*n**5\/5 + 3*n**4\/2 + 2*n**3 - 9*n**2\/2 + 3*n + 17. Factor o(a).\nAnswer: 3*(a - 1)**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + -33031103?\nAnswer: -33030233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 6*t - 9*t + 0*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -830*q + 8704. Determine k(8).\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 9, r: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/60)\/(24\/(-216)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(55\/44) + (-2)\/2. Solve 0 = 4*b - 2*j, 0 = -0*b + o*b - 2*j - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3548 at least as big as -3542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2975, 2347, 1775, 1289, 919, 695?\n\"Answer: 5*d**3 - 2*d**2 - 657*d + 3629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*w + 559284*f - 5*w + 31997 with respect to f.\nAnswer: -2*w + 559284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**3 + 3*n**3 + 10*n**3 + 6*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 505992329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -103.508?\nAnswer: -10.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**(-8\/17)*g\/((g**28\/g)\/g)*g*(g*g**8*g*g)\/g assuming g is positive.\nAnswer: g**(-198\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.047511 and -48896?\nAnswer: 48895.952489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2003*t + 69*t**2 + t**3 - 20*t**2 - 2003*t.\nAnswer: t**2*(t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -v + 3*u, v = -0*u - 4*u - 18. Let y = v + 21. Find the second derivative of -7*t - 11*t**y + 11*t**3 + 3*t**4 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*d = -28, -a + d - 48 + 39 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-1 - 12 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -19\/4, 144138\/77?\nAnswer: 144138\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:10 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2860\/(-165)*((-571)\/(-2) - -1). Let u be p\/(-884) + (96\/51 - 2). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3618 + 3984 = 2*j, 4*j = 5*y + 15216. What is the greatest common factor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (3 + 4 + sqrt(300))**2.\nAnswer: 140*sqrt(3) + 357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(20)\/sqrt(2)))\/(3*sqrt(45)) - ((-4 + sqrt(77)\/(sqrt(33)\/sqrt(3) + sqrt(11)))**2 - (sqrt(175) + 0)*-2).\nAnswer: -71\/4 - 53*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3\/2*j**4 - 12 + 14*j + 0*j**3 + 0*j**2. What is the derivative of w(m) wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*s = 0, 0 = -n + 2*n - s. Let r = n + 2. Let a = 19 + -93\/5. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69010301, 138020602, 207030903, 276041204, 345051505, 414061806?\n\"Answer: 69010301*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**1))**(-25))**(-4\/19))**(-21) assuming v is positive.\nAnswer: v**(2100\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 14 + 4 = 0. Solve -p*x = -5*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - sqrt(5))*-5 + 2.\nAnswer: -45*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14865 - 2891. What are the prime factors of t?\nAnswer: 2, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4693284 years to months.\nAnswer: 5.6319408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - 20\/(-21). Suppose 2*q = 3*q. Factor q - y*i**2 - 2\/7*i.\nAnswer: -2*i*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 20 = -18*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2 - 4 - 5*x**3 + 6 - 3. Let v be j(-1). Let d(s) = -s + 10. Let h be d(v). Solve -15 = 5*f - h*i, 0*i - i = 2*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-25)\/(-125))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) - sqrt(187)*2))\/(sqrt(550)\/sqrt(2)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 655637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 + 3*l + 2. Suppose 0*a = 3*a + 15. Suppose 5*t - 49 = -2*t. Calculate the remainder when y(a) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730 divided by -346.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 1 + 6*o - 8*o + o**3 to the form h*o**3 + g*o + n + a*o**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1188 (b) -5 (c) 1077\/2 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*z - 21 + 82, 3*z - 39 = -3*w. What is the greatest common divisor of z and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 44 - 227 = -75 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33836.8 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/55)\/((-1 - 2)\/15). Find the second derivative of 20*j**4 + 8 + j + 9*j**2 - 4*j**4 - 11*j**m wrt j.\nAnswer: 60*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j**4 - 1)*(-3*j + 1 - 9 + 2).\nAnswer: -3*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000101000011110 (base 2) to base 9.\nAnswer: -722803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/190 and -91\/52749530.\nAnswer: 1002241070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:45 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a2 + 97?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 30*q - 39. Let s be u(27). Solve -43*g + 5 = -s*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4435.223 centuries in millennia?\nAnswer: 443.5223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020020201 + 22?\nAnswer: 2020021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2860 and 1163804745.\nAnswer: 1163801885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123742490608 + 1?\nAnswer: 123742490609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27978685+0.002\nAnswer: 27978685.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69793.25 weeks to days.\nAnswer: 488552.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(300).\nAnswer: -40*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 190 = -2*a, 380 = 5*a - a - 3*p. Suppose -4*m = -o - a, -5*m + 136 = -5*o + 6. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*s**3 + 5685 - 5685)*(-3 + 1 + 1 + (1 - 2 + 3)*(-3 + 2 + 2))*(-3*s + 4 + 2 - 10).\nAnswer: 228*s**4 + 304*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17202.10923 less than 4?\nAnswer: -17198.10923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -67 + 18 + 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 99*t**2 + 2*t + 4. Let c be n(4). Let p be -592*(-3)\/(-2) - 7. Let w = p + c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22 - (20\/8 + -2) and -48\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70372603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/72 + (-10122)\/964?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x - 20. Let u be k(10). Calculate the common denominator of ((-6)\/u)\/(((-54)\/(-68))\/9) and -63\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 114*c + 4. Let o(z) = -2*z**2 + 229*z + 9. Give -4*o(q) + 9*w(q).\nAnswer: -q**2 + 110*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + 301*30\/(-210).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3111\/(-34))\/((-77)\/22*(-15)\/(-35))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1 + 1)\/(33\/66). Solve 13 = 5*a - g*r, 0 = 2*a + 4*r - 32 + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let n(a) = -4*a - 5. Suppose -2*d + 3*d - 5 = 0. Suppose 30 = 5*m - 5*b, 0*m - d*b + 6 = -m. Calculate m*o(c) - 2*n(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333.3 + 333. Suppose -16 = -5*w - 4*c, 0 = 3*w - 2*c + c - 13. Let x be (-2 + 18\/w)*2. What is the smallest value in -1, k, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(28)*2*2 + -1 + 4.\nAnswer: 3 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u**2 - 3*u + 7. Let y(w) = -6*w**2 - 2*w + 3. What is 2*a(k) - 5*y(k)?\nAnswer: 4*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -20*x**2 - 5*x + 9*x + 11*x. Let a(k) = -1053*k - 29499. Let d be a(-28). Let t(i) = -3*i**2 + 2*i. Calculate d*t(m) + 2*f(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:09 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 12. Calculate the remainder when 79 is divided by l(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*l - 2*y + 16, 0 = 4*l - 2*y - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/12 + 3*j**3\/2 + j. Let m be x(9). Suppose -156 = 3*y - m*y. What is y rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171621 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -36. Suppose 2*w + 3*c = 87, -c + y*c = 15. Suppose -7*g + 10*g - w = 0. What is the highest common factor of 96 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/16464 and 81\/56.\nAnswer: 16464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 - 0)\/((-17)\/(-340)) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (377\/(-290))\/((-1)\/(-5)) + 5. What is the third smallest value in -2\/9, b, -4, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1908*v**2 - 5552288*v + 23280 = 0.\nAnswer: 2\/477, 2910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1795860 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 2, u: 1, g: 1, z: 1, h: 1}. What is prob of picking 1 h, 1 u, 1 g, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 2, 1, -2563 in ascending order.\nAnswer: -2563, -9, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54896?\nAnswer: 2, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let g(m) = -59*m + 2. Let l(o) = 177*o - 7. Let u(j) = 7*g(j) + 2*l(j). Determine u(c(a)).\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526539343?\nAnswer: 7, 97, 233, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 152229484*w\/15 - 50743162\/15.\nAnswer: 2*(w + 25371581)*(3*w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 + 16*w - 174. Calculate a(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-6) - -2)*-6. Suppose -3*h - 2*t - 1 = -2*h, 0 = -i*h - 3*t. What is h rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, -2\/5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -989, -1056, -1123, -1190, -1257?\n\"Answer: -67*d - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -162, -359, -642, -1017, -1490, -2067?\n\"Answer: -z**3 - 34*z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let m(j) = 1. Let z(y) = m(y) - 4*p(y). Let b be z(-1). Solve h - b = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 62. Suppose -3*r - p = -97 - 727, b = -2*r - 4*p + 546. Let a = -194 + r. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 2263*n + 511 - 2263*n as a*n**2 + x + h*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 323?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 4*d**2 - 3*d - 5. Let a be f(5). Suppose -3*m + a*m = 0. Suppose m = 5*g - w - 571 + 89, 0 = -g + 2*w + 91. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/7)*s*(s*s**4)\/s)\/(s*(s**1\/s)\/s)**(-2\/95))\/((s\/(s*s**1))**(-1\/45)*(s**(-1)*s*s*s)**(-21)) assuming s is positive.\nAnswer: s**(14618\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.1 + 70. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 5*z - 2.\nAnswer: -(z - 2)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637) + -5*sqrt(637) + sqrt(637) + sqrt(637) - sqrt(637))**2 + (sqrt(637)*4*-2)**2 + -2 + -1*sqrt(637) + 3 + -2.\nAnswer: 77*sqrt(13) + 46504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5956.7 - 5570. What is t rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t + 11. Let y(i) = -6*i - 12. Determine 7*c(n) + 6*y(n).\nAnswer: 6*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 94600 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 403457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/2)*-3*(-8902)\/(-53412)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Suppose 0*d + 3*r - 21 = -5*d, -2*r = -4. Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 1\/3 (c) -0.1 (d) 0.436\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3427 - -10?\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -104454146.384?\nAnswer: -104454146.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27709, 55867, 84025, 112183, 140341?\n\"Answer: 28158*b - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*s - 187. Let g = -11 + s. What is the common denominator of -3 + 2 - g\/(-14) and -73\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 - 7*y - 5. Let r be o(7). Let w(i) = 2*i**2 + 3*i - 7. Let n be w(r). Suppose 8 = -4*j + n. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142006000 to the nearest 1000000.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 55 + 50. What is the smallest common multiple of 7 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140613.\nAnswer: 3, 11, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:15 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60423271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 9*z - 19. Let f be l(-18). Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37102264 to 4 dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113227 is divided by 4714?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 439.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*c - 208 - 1073 = 1117. Calculate the remainder when 385 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2357\nAnswer: -1\/2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007458659 to seven decimal places.\nAnswer: 0.0000746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*x - 18 + 12 = 0, 3*i = -5*x. Solve q = -4*w + 13, 0 = i*q - 4*w - 4 + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -16.\nAnswer: -16, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*s - 3. Let a be ((-42)\/(-49))\/(s\/14). Suppose -98 = -2*o - j, -a*o + 3*j = -o - 256. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24228 is divided by 8069?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/7 + 57850*r**2\/7 + 8*r\/7 - 231400\/7 = 0. Calculate r.\nAnswer: -2, 2, 28925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41142869 to the power of 1\/2, to the nearest integer?\nAnswer: 6414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d2d (base 16) in base 12?\nAnswer: -43a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 343536 divided by -17?\nAnswer: -20208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-44)\/(-187)*-9.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 996*i**2 - 15 + 149 - 5 - 497*i**2 - 497*i**2 in the form w + n*i + t*i**2 and give w.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 62*p**3 - p**2 - 25*p + 55. Let i be s(3). Which is smaller: i or 8222\/5?\nAnswer: 8222\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -m + 10, 29 = 5*i + 2*m - 6. Suppose i*q = -2*q + 5*q. Solve 5*k - 3 - 22 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 + j + 3. Let h be y(-3). Suppose 5*x - h = -c - 0*c, c = -5. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 5*a - z, 4*z - 26 = -5*a. Suppose -3*f + a*f = -2. Solve l + 3*i - 13 = 5*l, 5*l - f*i = -18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50420 + -7.\nAnswer: 50413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -24*j - 88. Let w be (-11)\/((-44)\/(-24)) - -2. Let s be y(w). Let x(u) = 6*u**3 - u. Let k(o) = 9*o**3 - 2*o. Calculate s*x(z) - 5*k(z).\nAnswer: 3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7527\/5 + -1505. Is z at least 5209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + s = 5*s - 44, 3*a = 2*s + 8. Let b = -28 - -44. Suppose -a*d + b = -2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125085897 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*t - 23, -5*t + 45 = -0*t + 3*f. Let h be -7 - (-2)\/(-2 - -4). Let n = h + 6. Solve n*a + 3*a = t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2, -138646 in decreasing order.\nAnswer: 2, -3\/2, -138646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 - (-1 - 0). Let z = -6.5 + 6.4. Which is the nearest to z? (a) k (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -18120*j + 54343. Give p(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s**4 + 0*s + 3*s**2 - 1\/190*s**5 + 0*s**3 + 0 - 1\/1140*s**6. Solve q(r) = 0 for r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (4 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -3, -23, -53, -93, -143?\n\"Answer: -5*z**2 + 5*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 69*q**3 + 10*q.\nAnswer: -69*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/(-20) + -3)*(0 + -1). What is the second biggest value in s, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2. Let o(s) = 11*s**2. Let r(m) be the second derivative of -155*m**4\/12 + 9*m - 3. Let d(g) = 85*o(g) + 6*r(g). Calculate d(j(z)).\nAnswer: 125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let y(w) = -17*w + 2. Let j(p) = -1581*p + 187. Suppose 3*g = 4*u - 549, 2*u - u = 3*g + 558. Let k(s) = g*y(s) + 2*j(s). Determine m(k(v)).\nAnswer: 578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 26b6ac9?\nAnswer: -26b6ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4 (c) 0.12 (d) 21\/52 (e) -4 (f) 4\/7 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 c when three letters picked without replacement from {c: 1, u: 3, w: 4, a: 1, g: 4, i: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(192) + -2 + 2*sqrt(192) + 0 + sqrt(192) + 1))**2*-5.\nAnswer: -61460 + 1280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 4, k: 1, r: 2, x: 4}. Give prob of sequence rir.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9436.5 + 9437. What is the nearest to 0.1 in -7, r, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1473620*p**2 - 128*p + 4422 wrt p?\nAnswer: 2947240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/((-61750)\/78))\/(414\/(-300))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 555\/(-774)*(-2 - 6). Let b = -334\/3 - -14353\/129. Let d = b + f. Sort -3\/2, -0.2, d in descending order.\nAnswer: d, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13878 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 - 8*w + 5. Let i be c(-8). Let k = 0 + 2. Suppose v = k*v - i. Solve -v = d - 4, -2*d + 8 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41078\/322)\/19 + -8.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - 2*a)*(-105 + 11 + 136 + a**3).\nAnswer: a**4 + 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 6. Let m be i(-6). Let x be (m\/9)\/((-8)\/(-12)). Let f be 6\/(-12) + 10\/x. Solve -f*u = -5*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 22. Suppose -z*q + 42 = 4*q. What is the second derivative of 22 - 22 + 4*j - q*j**2 wrt j?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*o**2*r**2 - 21213*b**2*o**2 - 3*b*o**2*r**2 - 2*b + 6*o**2*r**2 - 79*r wrt b.\nAnswer: 4*o**2*r**2 - 42426*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -182*i. Let h(o) = o**2 - 31*o - 178. Let b be h(36). Let x(k) = 28*k**2 - 38*k**2 + 12*k**b. Determine l(x(s)).\nAnswer: -364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5*i**5 + 3 - 4*i**5 + 2*i**5 + i**5 + (3 - 3 - 2)*(0 - i**5 + 0) - 27*i + 4*i**5 + 27*i.\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/20 - w**4\/4 - 4*w**3\/3 + 6*w**2. Is 19 a factor of u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 0.9, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23848131 to the nearest integer?\nAnswer: 4883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.056101 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i = p - 12 - 78 - 15, -p = 248*i - 247*i - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 53. Calculate a(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 250 = -205. Suppose -o + z = j, 5*j - 247 = -3*o + 26. What are the prime factors of o?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -109556516 and -50656?\nAnswer: 109505860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495159183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 39 = 3*s. Let j(f) = -f**2 + 9*f - 18. Let t be j(7). Let l be 13*12\/18*(-6)\/t. Calculate the highest common divisor of l and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 123?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -q + 4, -14*v + 11 = -3*q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from spsskpsspppppsssppp.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148948326*a**6 - 127169863*a**2 wrt a.\nAnswer: 17873799120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 22 + 69)*(2*l + 4*l - 3*l).\nAnswer: 246*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**2 - 541*g - 12185. What is z(-47)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 186. What is the remainder when f is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 + 5*v**2 - 5*v - 5. Let w(c) = -2 + c**2 + 5*c**3 + 2*c + c + 7 - 4*c**2 - 2. Give -3*r(j) - 5*w(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*g = 888, 0 = 3*m - g - 4*g + 2636. Let v = 1372 + m. What is the greatest common divisor of 49 and v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 - w + 4. Let j(n) = 49*n**3 - 18*n**2 + n - 19. Let c(b) = j(b) + 6*x(b). Let u(l) = -28*l**3 + 3*l - 3. What is -3*c(y) - 5*u(y)?\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-9)\/6*(-16)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66700 (base 12) to base 10\nAnswer: -135792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/(-21) - (-216)\/(-189). Solve -13 = -0*z + 5*z - 4*x, -3*x = b*z + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**5\/180 - h**2 + 4*h + 3. Let p(x) be the second derivative of f(x). Factor p(j).\nAnswer: j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - (-261 + (11 - -63))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 206, -3, -1, 2, 5 in descending order.\nAnswer: 206, 5, 2, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3765 (b) 2\/19 (c) -3 (d) -0.5 (e) -2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1541 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -68 times -0.3\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 + y - 4. Let u(k) = 15*k**3 + 4*k**2 + 4*k - 12. What is 4*m(x) - u(x)?\nAnswer: -11*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9701*o + 168. Let q(w) = 2017808*w - 34888. Give -623*d(x) - 3*q(x).\nAnswer: -9701*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) - sqrt(66)*3))*4*-4*-2)\/(-6*(sqrt(726) + (sqrt(726) + sqrt(726) + -6*sqrt(726))*-3 + sqrt(726))).\nAnswer: -8*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -i*n + 3*o = -33, -n + o = -3*o - 20. Suppose -3*w + 17 = -4*r, -3*w = -n*w + 5*r + 30. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 p, and 1 o when four letters picked without replacement from louopoouuusoupu.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1*6\/(-105))\/(3\/(-15))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u. Suppose 2*n - 2 = 2. Suppose -n*h = -h. Let w(s) = 5*s - 2*s**2 + h*s - 5*s. What is w(p(o))?\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 3. Let u(h) = 25*h - 32. Let g(r) = 13*r - 16. Let j(z) = -5*g(z) + 2*u(z). Let l(d) = -11*a(d) + 2*j(d). Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 582 + -610. Let o(s) = -12*s + 204. Let q be o(j). What is the greatest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-4*q**3 + q + 343*q**2 - 340*q**2 - 3*q) + 0 + 0 - q**3.\nAnswer: 11*q**3 - 9*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147285415.\nAnswer: 5, 61, 257, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 11*y**2\/2 - 1590*y. Let s(n) = n + 33. Determine 7*b(a) - 2*s(a).\nAnswer: -2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3, -c - 4*c + 39 = -b. Suppose -2*x + c = -3*w, -x = x + 3*w - 8. Suppose 5*i - 13 = 6*q - 5*q, 3*i - 2*q - 5 = 0. Solve -x = -u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89611261.\nAnswer: 89611261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/l**2)**25*(l*l\/((l**(-1)\/l)\/l)*l**1)**(18\/13) assuming l is positive.\nAnswer: l**(108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round -28210.91822 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/11*(-2)\/(-3). Let l be 0 + 1 - (-18)\/(-17). What is the smallest value in l, -4\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65458.7 milliseconds to seconds.\nAnswer: 65.4587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218899 is divided by 600?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -218 - -343?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9083503 nanometers to meters.\nAnswer: 0.0000000009083503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:20 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 15 - 4 - 6 - 5.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-300)*-2*2*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340906 (base 12) to base 4.\nAnswer: 3022310112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011123 - -330?\nAnswer: -2010133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -944*s - 951*s - 8*s**2 - 923*s + 2848*s.\nAnswer: -2*s*(4*s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3190720473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 617b - -b59?\nAnswer: 7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*sqrt(20)\/(sqrt(2) - (sqrt(2) - sqrt(6)\/sqrt(3))))\/(sqrt(720) + sqrt(720) + -2*(sqrt(720) - 2*sqrt(720))))**2.\nAnswer: -383\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926604?\nAnswer: 2, 3, 7, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y - 114. Let d be r(-7). Suppose -2*x + 102 = z + 4*z, d*z = 4*x + 126. Calculate the least common multiple of z and 270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and -30\/261463.\nAnswer: 2614630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from www. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*g**2*q*w**3 + 8*g**2*w**3 + 826*g*q - g*w**3 + 7*g*w**2 + 3*g*w + 2*q*w**3 + 6*w wrt q.\nAnswer: 145*g**2*w**3 + 826*g + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l - 4*q = -14, 3*l - 5*q - 10 = 0. Solve -3*b - c + 5*c + 12 = 0, 20 = 5*b + l*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-663)\/(-187))\/13*283305\/(-765)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -5.5. Put f, -9, 0.4 in descending order.\nAnswer: f, 0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 727899576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -1, 3\/2, -9\/2 in increasing order.\nAnswer: -9\/2, -1, 3\/2, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 916 and 72.\nAnswer: 16488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (-65)\/15. Suppose f + 80 = s - 19, -d*s - f = -401. Suppose s = -r + 5*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22521 and 21.\nAnswer: 157647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}