diff --git "a/data/dm_maths/full_data_2/10221_11255.jsonl" "b/data/dm_maths/full_data_2/10221_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10221_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -110200111113 (base 4) in base 12?\nAnswer: -1972873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(1\/10)\/(r**(6\/5)*r\/(r\/(r\/(r*r*r**(-10)*r)*r))))**24 assuming r is positive.\nAnswer: r**(-1236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a - 40*a - 187*a)*(-2 + 2 + 2*a) + (2*a**2 - 3*a**2 + 3*a**2)*(4 + 0 - 5).\nAnswer: -508*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*x + 6 = 0, -5*x = o - 0*x - 20. Suppose -5*n = o*q, n + 0*q = -5*q + 4. Let d(s) = 30*s**2 - s - 2. What is the tens digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 24 = -4*r + 6*i, -2*r + 4*i + 22 = 0. Suppose 3*w = 4*w - r. Let d be (w\/3)\/(3\/45). Solve a - d - 1 = 4*y, -5*y = -3*a + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272125 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, s: 3, b: 2}. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 + 4.5131. What is n rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 + 13*t**4\/24 + 10*t**3\/3 - 905*t**2. What is m(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 13 + (-1 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -126*a + 303. Let w be b(3). Suppose -t - 4*j = -97, 3*t - 68 = -2*j + 173. Let m = t + w. What is the greatest common factor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9)*84\/8. Suppose -20 = 2*y - f*y. Let j be 2 - (112\/10)\/y. Sort 1\/2, 1\/3, j.\nAnswer: j, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51764, 103528, 155292, 207056, 258820?\n\"Answer: 51764*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005318 to five decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, -278, -1345, -3528, -7199, -12730, -20493, -30860?\nAnswer: -44203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, u: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1438, -4 in decreasing order.\nAnswer: 2, -4, -1438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 47248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 6. Let t(d) = -2*d + 4. Let v(o) = 5*i(o) + 8*t(o). What is the remainder when 6 is divided by v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 806 - 806. Which is smaller: m or 1\/137?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 37.0000096. What is m rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -106. Let a = v - 30. Suppose -m + a = -0. Solve p - m*h = -9, 3 = -p + 5*p + 5*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*p = 9, 16*p = 18*p - 6. Sort -5, u, 16, 43 in descending order.\nAnswer: 43, 16, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, p: 2, e: 3, l: 5, f: 3}. What is prob of sequence mep?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060274 to the power of 1\/2, to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-13 - -7)*3\/18*6. Solve -3*p - 40 + 28 = x, -4*r + 2*p + 12 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/64 - (-146)\/8. Suppose 17*z = m*z - 10. What is the third derivative of -4*k**2 - 11*k**2 - 3*k**5 - 9*k**z + 4*k**5 wrt k?\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*l + 3*p - 7*p, 0 = 5*l - 4*p - 26. Suppose 115039 = 5*b + l*z + 428, 0 = b - z - 22918. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c6 (base 16) to base 13\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/3 - 35663*z**4\/3 - 6155888*z**3\/3 - 92349108*z**2 - 345153312*z - 337135680 = 0?\nAnswer: -84, -2, 35835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l*l**2\/l*l**(-3)*l\/l**(-2\/17)*((l*l\/l**(1\/3))\/l**(-2\/5))**(-49) assuming l is positive.\nAnswer: l**(-26558\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2956, 2136, 1328, 538, -228?\n\"Answer: v**3 - 827*v + 3782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 6 = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/11 and 61\/156013.\nAnswer: 156013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 26*c + 1305. Calculate j(22).\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**2 - 4*a + 9. Let y = -171 - -178. Let r(x) = 8*x**2 + 3*x - 8. Give y*r(n) + 6*m(n).\nAnswer: 2*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:37 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 9*v**2 - 10*v - 7. What is x(-6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-15\/8)\/s**(-38))**(6\/19))**(4\/7) assuming s is positive.\nAnswer: s**(867\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -69, -187, -351, -561, -817, -1119?\n\"Answer: -23*m**2 - 3*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45.91011ml?\nAnswer: 0.04591011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 21) + (252 + -241 - (1 + 23)) + 3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001414 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 10*h - 40. Let f(d) be the first derivative of 2\/3*d**3 + 3 + 0*d**2 + 0*d - 3\/5*d**5 + 0*d**h. What is the third derivative of f(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/4 - (10 + (-2990)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u + 137. Give g(15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 50*d**3 - 55*d**3 - 51*d**3 - 1 + 204*d**3 - 47*d**3. Let q(v) = -15*v**3 - 4*v**2 + 2*v + 5. What is q(w) + 4*s(w)?\nAnswer: -11*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94309, -94305, -94299, -94291, -94281?\n\"Answer: a**2 + a - 94311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lclo when four letters picked without replacement from {l: 10, d: 5, c: 3, y: 1, o: 1}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1900) + 2)**2*-4 + (3*sqrt(133)*1 - sqrt(133))\/(-4*sqrt(14)\/sqrt(2)))*-4.\nAnswer: 1282*sqrt(19) + 60928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/22 and 2*(-2)\/(-14) + 2838\/(-84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.826 + 3.174. Let u = -5 - -1. Which is the fourth biggest value? (a) m (b) -3 (c) 0.05 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 25*z = -140, 4*f = 7*f + 5*z - 19 - 61 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44644 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1009.802 - -2.745. Let t = w - -1006. What is t rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 2373?\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1092, 4, 8 in increasing order.\nAnswer: -1092, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and -25\/3024.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*f. Suppose f*r - 16*r + 56 = 0. Solve -r*l + 5*s = -29, 2*l + 16 = -2*l - 4*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370569.\nAnswer: 2370569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -x - 221. What is the second derivative of -5*y + 41*y**x + 29*y**2 - 7 + 108*y**2 - 31*y**2 + 6*y wrt y?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/4251 - -8240\/556881. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2725 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6*o**2 + 5*o**2 - 43 + 27.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 21 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 10*q**2 - 2*q - 12. Let t = -10 - -9. Let f = t - 9. What is the units digit of z(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/2 - -26. Let p = 7 + -6.06. Let o = p - -0.06. Which is the nearest to s? (a) -1\/5 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*o - 558*o = -192 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*c + 4455 = 0, 19*u - 4455 = 16*u + 2*c. Calculate the remainder when u is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 5*a + 12. What is g(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 28 = -5. Is 14 a factor of (6 - 7)*5*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 9*y + 10*y + 1 + 3*y**2 + 0*y**2. Calculate the remainder when 48 is divided by a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 696409199 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2009823100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 48. Let s = -49 - n. Solve s = 5*u + 2 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 115 = -5*d, -s + 4*d = 2*d - 20. What is the third derivative of 2*n - 50*n**4 + 47*n**4 - s*n**2 - 10*n**5 + 7*n**2 wrt n?\nAnswer: -600*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**3 - 6*z**2 + 7*z + 6.\nAnswer: -(z - 1)*(z + 1)*(7*z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88 - 68?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 153754545 + 1?\nAnswer: 153754546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, f: 1, t: 1}. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4002595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690784044 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r + 272 = 3*r. Let p(x) = -7*x - 18. Give p(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1740, 1738, 1736, 1734, 1732, 1730?\n\"Answer: -2*d + 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-158)\/(-3) - 2\/3. Suppose -n - f = -3*n. Let v = -202 - -228. What is the highest common factor of v and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + -5 - (-8 + -7 + 33)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (55\/20)\/(-11) + 27438\/24. Solve 4*y = -1159 + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*n + 44 = 0, 4*n = n - 12. Let h = c + 18. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2497.343 meters?\nAnswer: 2497343000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/6*(-2)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.226594359 - -13.573454941. Let v = n - 13.8. What is v rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23064712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 555.5387 nanometers?\nAnswer: 0.0000005555387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(11*24\/64)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = b + 21, -7438890*b = -7438894*b - 2*h - 66 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*c + 11 = -g, 5*g - 3*c = 17. What is the common denominator of -179\/60 and (-6)\/g + (-34)\/(-6)*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 40*q + 20 = 0. Let l be (6\/q)\/((-25)\/150). Solve l*y - 12*y = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from egggmdwegmeeggegq.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172735991 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(17)*2 + -4)*-6)**2 + -5.\nAnswer: -2304*sqrt(17) + 12091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - -3*sqrt(76)))*1 - sqrt(76))\/sqrt(4).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151115694?\nAnswer: 2, 3, 29, 73, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/12)\/((-5)\/15). Let u(w) = 5*w + 3. What are the prime factors of u(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t)**(3\/2) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 55. Let q = m + 12. What is the lowest common multiple of 40 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-3))\/(-8))\/(1\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s**2 - 4*s + 2. Let r be 11 + -1 + 1*-2. Suppose r = t + 12. Give x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56932 divided by -1?\nAnswer: -56932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 84 + 99 = 0. Suppose 1 + 5 = k*w - 2*q, 2 = q. Solve -4*o - 5*z + 7 = 0, 4*o + 2*z = -w + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17659308.\nAnswer: 2, 3, 23, 109, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2637.029 - -2637. What is the second biggest value in k, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9100.7 rounded to the nearest ten?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*q = -4, 30 = 4*z - 4*q + 6. Let y be z\/(-6) + (-39)\/(-9). Let f = 7 - -12. Solve 4*w - 5*s + 4*s - f = 0, -y*w + 10 = 2*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i - 1. Calculate the remainder when (i + 0)*(-3 + 7) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155787*c**2 + 152905*c**2 - 2*c + 2*c to the form d + y*c + o*c**2 and give o.\nAnswer: -2882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*2)\/sqrt(4) + sqrt(2))*-4 + (3 + sqrt(24)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 28*w - 79. Let k be h(-23). Solve 24*p - 15*p = k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 3*o + 2*o + 1 - 7*o**2. Let w be (-4)\/3*(-7 + 4). Suppose -w*r = 9 - 13. Calculate i(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -295, -447, -603, -763?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Calculate prob of sequence gos when three letters picked without replacement from {q: 2, o: 1, g: 5, s: 8}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -38, 3\/2, 2, 2\/13, 90, 2\/9, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**3 + 1. Let c be q(1). Let l(d) = -d - 7. Let t be l(c). Suppose -33 = -t*o - 0*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/36 and -63\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + n + (n + 6*n - 6*n)*(1 - 3 + 0))*(-n + 4*n - 4*n) as l + w*n + u*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 47131?\nAnswer: 4712e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/24)\/1*3. What is the nearest to f in 11, 2\/3, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 6*x - 6. Let v be f(4). Suppose -21 = -v*k - 11. Suppose -28 = -3*t + k. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 724\/(-3) + 6\/(-9) + -1. Let u = 244 + d. Which is greater: 2\/59 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4475164 divided by 4?\nAnswer: -1118791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -894 - -887. Which is greater: l or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12, -4603, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 2.1. Let b = 196.9 - 178. Let t = -19 + b. Sort t, -7, h in increasing order.\nAnswer: -7, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose -7 = -2*u - n. Solve -3*l + u*f + 0*f = -4, 0 = -2*f - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140654660 divided by 28130932.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:24 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-40 - -44) + (-11 - -1) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -169*f - 4. Suppose -a - a = 4. Let l be x(a). List the prime factors of l\/7 - 18\/(-63).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4)*j)\/j*j*j\/j**(2\/5)*j**(1\/17)\/j*j**(7\/4) assuming j is positive.\nAnswer: j**(-201\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:26 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:43 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 8*h - h**2 + 2*h + 32. Let v be a(14). Let t = 2 - 5. Sort t, v, 5.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16423 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1705 and 2294.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 106?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469 and 3978594.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.41 + -7.5. What is the third biggest value in 2\/9, -1, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 + -77 - -49) + 75.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19916.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 2. Let z(q) = 16*q - 43. Let s be z(3). Suppose -y = -s*y + 2*y. Which is the fourth smallest value? (a) v (b) 0.1 (c) y (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3*(6 - 33). Let y(z) = -z**3 + 8*z**2 + 12*z - 12. Let w be y(i). Solve -5*k = 4*g + w, 0*k - 12 = -g + 4*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2 - 131206*p + 131212*p + 2. Let h(x) = -x**2 + 4. What is g(h(q))?\nAnswer: -6*q**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*r = 15, f - 5*r - 2 + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.996 + 11.996031892. What is x rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/((sqrt(252)\/sqrt(4) - sqrt(63)) + sqrt(63)))\/(sqrt(70)\/sqrt(160) + (sqrt(7) - (sqrt(7) + (sqrt(84)*-2)\/sqrt(12) - sqrt(7)))).\nAnswer: 4*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75)*-1)**2 + (sqrt(192) + -3)**2.\nAnswer: -48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 18924703?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 26*o**2 - 38*o + 291. Calculate b(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 - 2*u + 3. Let y(d) = -d**3 + 4*d - 4. Let q be y(3). Let p = -16 - q. Suppose 2*z - 3*z + p = 0. Calculate f(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 13*n = 0. Let i be 5*2\/(-10)*-3. Which is greater: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10)*1 + ((-23256)\/255)\/(-19). Solve -f*d = 2*p - 11 + 4, -3 = 2*d - 5*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 6167?\nAnswer: 6167.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (-17526)\/(-322) - 572\/28*-1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -117985 in ascending order.\nAnswer: -117985, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2 + 29. Let p(z) = 2*z + 6*z + 6*z - 17*z. Give p(r(y)).\nAnswer: 24*y**2 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {e: 8, h: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 48*a**2 + 85*a + 66. What is the tens digit of g(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2.4 + 1911248127\nAnswer: 1911248124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 79*x + 8. Calculate the remainder when k(2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + 4. Let y = -1 - -3. Let h be ((-2)\/3)\/(y\/3). Put q, -4, h in descending order.\nAnswer: q, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72730516.\nAnswer: 2, 907, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-73145.\nAnswer: -146290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h + 87. Let k be w(-11). Let y = 508 - k. Which is the third biggest value? (a) 0.01 (b) -2\/9 (c) y (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 2 e when four letters picked without replacement from evvnlevgevvl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from {j: 4, z: 1, b: 2, v: 1, a: 1, s: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1086725, 1086727, 1086729, 1086731, 1086733, 1086735?\nAnswer: 1086737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -10, -1\/3, -2, 11 in ascending order.\nAnswer: -10, -2, -0.4, -1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/1)\/(2\/24). Let c = -7 - h. Let b(d) = -6*d**2 - d**2 + c*d**2. Let g(i) = -3*i**2. Calculate g(b(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5235, 20892, 46965, 83454, 130359, 187680, 255417?\n\"Answer: 5208*d**2 + 33*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -194 + 194 - (4 + -3 + 19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(405)) - (sqrt(405)*2 + -5) - 2*sqrt(405)*5*-4) + -4)**2.\nAnswer: -3690*sqrt(5) + 680830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/3, 355, 59.939 in ascending order.\nAnswer: -0.4, 2\/3, 59.939, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5620*u + 76650 = 4570*u for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuamuuuubuuhmmhamh. What is prob of picking 1 h and 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 - 6*f**2 - 8*f + 6. Let q be 4 - (4 - (6 - -3)). Let o(j) = -j**2 - 1 + q - j - 7 - j**3. Calculate -m(s) + 6*o(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 11*b - 93. Does 4 divide q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 2, x: 10}. Give prob of sequence nnrn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 > -418304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1255600 and 4?\nAnswer: 1255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -44*w + 267 - w**3 - 118 - 101 - 46*w**2. Let v be s(-45). Let z be (-4)\/(-18) + (-50)\/(-18). Solve v*m - g = 1, 4*m + z*g - 27 = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1566*h**2 + 1270*h wrt h.\nAnswer: 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -32*h + 62. Let u be i(-13). Let o = -280 + u. What is the lowest common multiple of o and 6?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 75\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-9)*(u**(-2\/3))**(-18))**(-3\/8) assuming u is positive.\nAnswer: u**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 5 + 0*l**4 + 0*l**2 + 0*l + 0*l**5 + 0*l**6 - 8\/7*l**7 - l**3. Find the third derivative of z(t) wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or -3740999?\nAnswer: -3740999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*p**(-2\/3))\/(p**1*p*p*p\/p**(1\/10))*(((p\/(p\/p**(-1\/2)))\/p)\/(p*p*(p\/p**3)\/p))\/(p\/(p\/p**(-1)))**(-1\/19) assuming p is positive.\nAnswer: p**(-595\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/g*g**(-1\/10)*(((g\/g**(2\/9))\/g)\/g)\/g**(-1) assuming g is positive.\nAnswer: g**(-89\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/60 + 19*z**4\/24 - 10*z**3\/3 - 583*z**2. Give k(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 3*l - 3. Let k(a) = -2*a**2 + 4*a + 4. Let q = -119 + 122. Let u(z) = q*k(z) + 4*x(z). Let n(o) = 10*o**2. What is n(u(h))?\nAnswer: 360*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8203437 divided by -99.\nAnswer: -82863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 1. Let k be g(-1). Suppose 2*y + j = 37 + 17, 0 = -k*y + j + 114. What is the remainder when 81 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64038808 to the nearest integer?\nAnswer: 8002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2*z**2 - 909710*v**2*z - 1341905*v*z**2 wrt z?\nAnswer: 4*v**2 - 2683810*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (414\/(-48) - -11) + -12 and -11\/800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1355940 and 34100.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 3*k + 3*g = -21, -3*k - 2*g - 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 128, 191, 254?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3\/2 - 4541*m**2 + 12707*m\/2 - 1815 = 0.\nAnswer: 2\/5, 1, 1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = y + 9, 2*y + 6*n = n - 14. Suppose 5*j = 6*t - 2*t, 7 = 2*j - y*t. Sort j, 9, 1.\nAnswer: j, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20960000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccckcckkck. Give prob of picking 2 c and 1 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4897*c + 4895*c + 5*g - 29 = 0, -3*c + 26*g = 173 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -3*y**4\/4 - 831*y**3 - 690561*y**2\/2 - 63761799*y - 664. Suppose s(a) = 0. What is a?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**2 + 75*c**2 - 15*c**3 - 42*c**2.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**4*j*r + 36517*d**4*r**3 - 2*d**2*j*r - 32*d**2*r**2 + d**2*r + 2*d*r**3 + 79*r**3 - 5 wrt d.\nAnswer: -120*d*j*r + 876408*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18146\/(-4515) + (1 - 0 - -3). Let i = -44\/105 - n. Let r be (-31)\/(-11) + (0 - 3). What is the closest to i in r, -4, -0.03?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 416, -5, -1, -2.\nAnswer: -5, -3, -2, -1, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 4*i - 5 - 10 + 6*i. Let d be g(20). Suppose -1 = 3*q - 10, 0 = -t - d*q + 93. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 11 + (-40)\/4. Let h(l) = -3*l**3 + 10*l**2 - 11*l + 29. Let y(b) = 2*b**3 - 7*b**2 + 7*b - 19. Let u(r) = -5*h(r) - 8*y(r). Calculate u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 451 - 449. Suppose 3*h - 184 = 176. Suppose h = 4*k + m*k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39592104 or 277144720\/7?\nAnswer: 277144720\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59312 by 16.\nAnswer: -3707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 80 = 55 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let y(q) = 9*q - 2996. What is k(y(n))?\nAnswer: -81*n**2 + 53928*n - 8976016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108) - sqrt(12))\/(sqrt(32)\/sqrt(128)).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - (-200)\/480. What is the smallest value in j, -2, 2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.318021kg?\nAnswer: 8318.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 68\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 266*j**2 - 5844*j + 25. Give h(40).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/sqrt(704) - (sqrt(22) + sqrt(22)*-5)*3)\/(-3*sqrt(8)*-5*-1))**2.\nAnswer: 103499\/57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 4, 3*d + o + 8 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 22*g. Let p(a) = 5 - 2 + 2 - 6. Let z(m) = m**2 - 1. Let y(u) = 2*p(u) - 2*z(u). Calculate f(y(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9243 and 429.\nAnswer: 101673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 81*n**6\/2 + 108*n**5\/5 - 717*n**4\/4 - 270*n**3 - 126*n**2 - 24*n + 213. Determine j so that k(j) = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) 1674317 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90317818.\nAnswer: 2, 31, 1456739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9475912 is divided by 664?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78\/5 + 16. What is the second smallest value in 10, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8875 divided by 1775\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61324, -244842, -550706, -978916, -1529472, -2202374?\n\"Answer: -61173*g**2 + g - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. What is the third derivative of 7*y**3 + 16*y**2 + 5*y**2 - 2*y**j wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and 3720290?\nAnswer: 78126090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 - -1.3. Let h = 0 + g. What is the nearest to 1 in -0.6, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 18*x**3 + 1 - 3*x**2 + 3*x**2 - 4*x**3. What are the prime factors of k(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -3 + -2)*(3 + 2302). Let j = u + 467913\/203. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (806\/310)\/((-2)\/(-10)). Solve 0 = -3*n - 5*i, 0 = 2*n - 3*i + 6 + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.6621t to nanograms.\nAnswer: 129662100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1663700000 to the nearest 1000000.\nAnswer: -1664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.006 - 6.906. Let d = 6.7167 + q. Round d to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -131\/3. What is the third biggest value in -9, -5, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52269.2ml?\nAnswer: 52.2692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31003125 (base 7) in base 10?\nAnswer: 2589375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*n**3 - 2*n**3 - 82*n**3.\nAnswer: -420*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 670373398 and -4.\nAnswer: -2681493592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27*7\/(-945)*5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793917993.\nAnswer: 3, 11, 24058121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125430 is divided by 1927.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w, -3*w + 2*w = 3*i + 111. Let v = -33 - i. Suppose 0 = -5*o + 3*p + 28, v*o - 2*p = -0 + 27. Calculate the remainder when 21 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(-2*sqrt(11)))**2 + (sqrt(7) - sqrt(567)*-2)**2.\nAnswer: 10115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d. Let y(u) be the third derivative of -u**4\/8 - 4*u**2. What is z(y(g))?\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = 4*n - 705, 4*n + 1422 = 2*j. What are the prime factors of j?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -150, -0.3, 3, -0.6 in descending order.\nAnswer: 3, 1\/6, -0.3, -0.6, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**2 + 22*n. Let d(y) = -y**2 + y. Let h(m) = a(m) + d(m). Find the second derivative of h(g) wrt g.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2020220221 (base 4) to base 2\nAnswer: 10001000101000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9243)\/4108)\/(3\/80).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27457736*v**2 + 2451641*v - 14 wrt v.\nAnswer: 54915472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8b055 (base 12) to base 8\nAnswer: 551201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7730961989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563 = 3*o - 694. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -0.5216085.\nAnswer: -0.5216085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r\/(r*r\/(r\/r**6)))**24\/((r\/(r**(-6)\/r))\/(r**(-1\/8)*r))**26 assuming r is positive.\nAnswer: r**(-9027\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let g = -2\/197 - 981\/394. Let y = g - o. Which is smaller: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19386*j + 52244 = 20798*j for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52303 + -52125.232. Let h = 177 - u. Let t = h + 0.8. Round t to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5051.63 + -5128. Let m = k + 76. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7534 - -5024. Is (o\/40)\/((-1)\/4) - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(168)\/(sqrt(252)*1 - sqrt(252) - sqrt(252)))\/(-2*2*sqrt(12)*5))**2.\nAnswer: sqrt(2)\/15 + 115201\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.341735132 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from llwsslwldwlslsw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134478 (base 9) in base 5?\nAnswer: 1200123443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccaaccaacccccc. Give prob of sequence cc.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsdxddzddlzzdzdz. What is prob of sequence xl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/35)\/(854\/(-305)))\/((-6)\/7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 429*d**2 - 1888*d - 507508. What is a(436)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) 1\/8 (b) 42 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*q = 3*q + 5, -3*q = 4*k + 3. Suppose k = 20*j - 23*j + 33. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3857 = -4*r + 2431, -3*r - 3144 = -2*x. What is the least common multiple of 2 and x?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8286658?\nAnswer: 2, 4143329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*((-6244)\/16)\/(-7) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*o - 309, -o = 3*q - 256 - 224. Let l = -803\/5 + q. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 h when three letters picked without replacement from hzopc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, 1 p, and 1 n when four letters picked without replacement from {u: 1, s: 1, v: 1, n: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 + 4*w + 5 + 2*w**3 + 18*w**2 - 40 + 2*w**3. Let g be 4\/16 + (-426)\/(-72)*3. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4576969*o**5 + 9451023*o wrt o?\nAnswer: -91539380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*(r\/(r*r\/((r*r*r\/(r*r*r*r*r*r**(1\/7))*r)\/r)))\/r)\/r*r)\/r)*r*r**(30\/11)*r assuming r is positive.\nAnswer: r**(760\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314349234?\nAnswer: 2, 3, 23, 71, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 8*i + 4. Let l be m(8). Suppose 4*a + k = -0 + l, 0 = k - 4. Suppose 5*o = -a*o. Solve -4*v - v - 10 = o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-2)\/(-1))\/(-2). Let s be (4\/(-6))\/(o\/(-18)). Suppose 0 = 4*t - 5*u + 10 + 5, -s*u = -2*t - 12. Solve t = -k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**5 - 104 + 104)*(4 - 6 - 1).\nAnswer: -9*k**5 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273409 + 801968. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550976893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12234 is divided by 408?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24997 - -2499713\/100. Calculate the common denominator of k and -45\/76.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -0.179579?\nAnswer: 0.320421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 24 + (-2 - (-10 - -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 + r**5\/10 - 7*r**4\/12 + 11*r**3\/6 - 98*r**2. Is d(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54607 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -88.868. What is n rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-756)\/120))\/(48\/72)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 1402*n + 7072. What is o(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000552434 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - (-880)\/72. Suppose -2*p + 5*q + 5 + 5 = 0, 4*p + b = 2*q. Let m(h) = h - 6. Let g be m(2). Sort -10, p, g in descending order.\nAnswer: g, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24719, -24715, -24709, -24701, -24691, -24679?\nAnswer: -24665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 864665.6758 to the nearest 10.\nAnswer: 864670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -14822?\nAnswer: -14824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262332 and 567.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -5, 783\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152074 divided by 2.\nAnswer: -76037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-1 + 0 + 0) + 2 - 4 + 1)*(0*w - 3*w + 5 + 1).\nAnswer: -3*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(637)*4 + (sqrt(637) + sqrt(637) + -1)*5 + (-2 + (sqrt(637) - sqrt(637)*-2) - (sqrt(637) + 2 + 1)) + 5)**2.\nAnswer: -112*sqrt(13) + 40769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 2, l: 2, x: 6}. What is prob of sequence kll?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 936 (b) 908 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199324367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2666*f**5 + f**4 - 4264*f**2 + 4522081*f + 3.\nAnswer: 53320*f**3 + 12*f**2 - 8528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 2, f: 5}. What is prob of picking 2 h and 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 7*f - 2*f)*(-24 + 20 - 21) - 4*f - 2*f - 4*f.\nAnswer: -85*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 - 54\/9 - -29. What is the highest common divisor of 54 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 7\/3, -2\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 111*r - 42 = -100*r, 11 = -3*s + 2*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125769 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o*o*o**(3\/11)*o)\/(o*o\/o**(-1\/9)*o*o**(4\/5)) assuming o is positive.\nAnswer: o**(-226\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 20*l**2 - 136*l - 2228. Determine t(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 10.1. Let b = -0.2 + t. Let y = 8.999999 - b. What is y rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let q be t(1). Suppose -1 - 5 = -q*o. Determine u so that -u**2 + 2 + u**3 + u - 2*u**o + u**2 - 2*u**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by -67?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*p = 770, 405 + 75 = 3*x - 3*p. Suppose -6*o + x = -83. Suppose -w - o = 4*w. Let g(i) = i**2 + 11*i + 9. Determine g(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(-c**2 + c**2 + 2*c**2) + 3*c**3 + 0*c**3 - 2*c**3 + (2*c**2 - 2*c**2 - 2*c**2)*(-3*c + 2*c + 0*c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4232.5 rounded to the nearest 10?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1394 - -1389. Let u(k) = 4*k**3 + 3*k**2 + 2*k + 1. Let z(f) = f**3 - f**2 + 1. Let s(y) = u(y) - 3*z(y). What is s(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194 - 2647*q**2 + 15 + 667 + 114 + 601 with respect to q.\nAnswer: -5294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (81 - 4)) + (171 - 174) + -2?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuzs when four letters picked without replacement from qwzssqusqeqq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 + 233. Let o(p) = -p**3 - 2*p**2 + 2*p + 4. Let b be o(-3). Calculate the highest common divisor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -395*b - 1. Let o be x(1). List the prime factors of o\/(-24) - 6\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23185? (a) -0.5 (b) 16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2939?\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 630.34 - 630.3399969923. What is v rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(51))\/sqrt(3) - (sqrt(17) + sqrt(425) + sqrt(425)*-2) - sqrt(204)\/(sqrt(120)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5482 + 5895. What is the highest common divisor of a and 1062?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8116246 millilitres?\nAnswer: 0.0008116246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15282 - 5?\nAnswer: 15276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -3. Calculate the remainder when (42\/(-5))\/(18\/(-60)) is divided by (-13 + (z - -1))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 16*r + 29*r)*(-3*r - 1 - 1 + 1).\nAnswer: -138*r**2 - 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54535.4 decades in years?\nAnswer: 545354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 - 37. What is the remainder when m is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 32 = 18*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 15, 42, 91, 168, 279, 430?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.528 + 0.658. Let u = -119 + 119.13. Let h = x - u. Which is the nearest to 0? (a) 3 (b) 8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945868801 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3438 - -0.79099.\nAnswer: 3438.79099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 29 = 4*y + 1, 0 = 3*v - 2*y + 5. Let g(x) = 2*x**2 + 7*x - 2. Does 6 divide g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 357\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135683 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33 + 11 - 124*q - 10 wrt q?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3430 times -0.11\nAnswer: -377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943 is divided by 135.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00968557921 to seven dps.\nAnswer: -0.0096856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -7) + 8 - (-4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1726*l - 228. Let s be p(30). Let y = s + -30257. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133222\/5 - -26774. Let n = -130 + p. Is 1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-45)*125*(-3)\/2. Let b = u + -1363\/66. What is the biggest value in -0.1, 19, b?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/4 - 3. Suppose -4*s + 52 = -5*g, 0 = -0*s + 4*s - g - 68. Let y(a) = 10*a**3. Determine s*d(c) + 2*y(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 37*g**2 - 19*g - 71. Is t(35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 278*d = -28*n - 280*d + 141, -5*d + 270 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 3*p**2 - 3*p + 3. Let t be v(3). Let l be (15\/(-6))\/(3\/t). Let a = 2 - 1. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 20\/(-5)) + -1. Let w be (-9)\/(-2) + r + 4\/(-8). Solve 4*x + 1 = 3*m - w, -3*x + 4*m = 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 23*m = -5*w + 10, -10 = 5*w + 5*m. Suppose 3*a - 2092 - 557 = w. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -3\/7, -1\/7 in increasing order.\nAnswer: -3\/7, -1\/7, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 - (-25 - -48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4872 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*o + 28, 5*a + 2 = 3*a + 1 - 3 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 27*r**2 + 24*r - 6. What is the remainder when 173 is divided by v(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 49. Let s(r) be the second derivative of 0*r**3 + 3 - 1\/12*r**4 - 19*r + 0*r**2. What is s(j(h))?\nAnswer: -9*h**2 + 294*h - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = -5*v + 160, 5*v - 79 = -2*x. Let i(c) = -c**3 + 29*c**2 - 53*c - 17. Let p be i(x). Solve -5*s + 0*s + p = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = 2. Suppose -28 - 96 = -y*q. Let n = 94 - q. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 - (2 - 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -234535 (base 6) in base 8?\nAnswer: -50033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173413 by 1.\nAnswer: -173413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*g**2 + 19*g + 28*g**2 + 2*g + 28*g**2 to the form f*g**2 + x*g + p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 - 113 = -4*t. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 19*x - 153 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u - 2. Let h(p) = 23*p + 3. Let f(l) = -3*h(l) - 4*j(l). Calculate the remainder when f(2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32105792 or 32105793?\nAnswer: 32105793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j. Let u(m) = 5*m**3 + m**2 + 3*m + 1. Determine -3*o(w) - u(w).\nAnswer: -2*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttcici. Give prob of sequence ci.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4559 + 4874. Calculate the highest common factor of 175 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33685 + -33623. Calculate the greatest common factor of 32302 and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 195*r - 4560 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 66*y + 8. Let h be k(12). Suppose h = 9*s - 3385. Is 71 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667412000 >= 2667412000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/30 or -1?\nAnswer: 19\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13039 * -2.9\nAnswer: 37813.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, 2\/9, -1.07, -1\/16 in descending order.\nAnswer: 2\/9, -1\/16, -0.2, -0.5, -1.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18061 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 5*y - 15, -y + 13 = 2*g. Let c be -3*(2 - 9\/y). Differentiate -13*r + r**4 + 13*r - 3*r**4 + c wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuui when four letters picked without replacement from uiiuiiiuuiui.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20378, 20379, 20378, 20375, 20370, 20363, 20354?\nAnswer: 20343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 13*z - 4. Let f be w(7). Let k = f - 36. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:42 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513270, 1513270, 1513272, 1513276, 1513282?\nAnswer: 1513290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j. Let b(g) = 2*g**2 + 4*g - 1. Let n be b(-3). Suppose -5*o = -n*a + 60, 0 = a - j*o + o - 2. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-37)*r*(r**(-46)\/r)\/r*(r\/r**(1\/13))**(-7\/9))**30 assuming r is positive.\nAnswer: r**(-33040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 1506*b**2 + 3015*b + 1508.\nAnswer: -(b - 1508)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 363 and 0.1199487824.\nAnswer: 363.1199487824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qqjqqqjqjjjqq.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3183098, 3183101, 3183106, 3183113, 3183122, 3183133?\nAnswer: 3183146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 45. Let l be (-20)\/(-5) - v\/(1 - -1). Solve 2*w - 5 = l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 o when three letters picked without replacement from oxlttootoottttoooo.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12) + (40\/15 - 1). Is (-304487)\/(-51) - q\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.438 - 22. Let p = 3.348 - y. What is p rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c - 11*c - 4472*c**2 - 4465*c**2 + 8945*c**2 + 41*c.\nAnswer: 8*c**2 + 70*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 359171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -119.\nAnswer: -13\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t. Let b be o(-3). Let n(a) = a + 4*a - b - 3*a. List the prime factors of n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:11 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 2 - o - 2 + 995*o**2 - 994*o**2 - 27*o**3 - 4 to the form b*o**4 + f*o + n + c*o**2 + u*o**3 and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t**2 + 7 + 1 - 8.\nAnswer: -59*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -100, 2, 4, -54 in increasing order.\nAnswer: -100, -54, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -12, -9, 4 in increasing order.\nAnswer: -12, -9, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 70.8.\nAnswer: 70.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (4 - (-6 - (4 - 11)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3\/2, 0.6, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*114.\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 4156*d**3 - 20680*d**2.\nAnswer: -4*d**2*(d - 1034)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + x - 20 = 0, -5*u - 4*x - x + 40 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*2\/(-32)*2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4233490458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 67 = 5*h, -3*k - 4*h = -74 - 15. Let a = k + -65. Does 7 divide (0 - -3)\/((-9)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 + -6 + -17 + (14902 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (5 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.45 + 1.41. Round v to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 111*b - 981. Calculate v(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Suppose -r*q = -6*q + 9. Find w such that 0*w - 7*w + 56*w**2 - 12*w**q - 21*w - 16 = 0.\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -10010011100?\nAnswer: -10010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Suppose -10 = -4*u - 26. Let y be ((-24)\/(-16))\/((-2)\/u). Determine v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.060181 to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -10*z + 120. Suppose 236 = 2*f + z. Let a = 146 - f. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 18. Let s = 12 + -10. Suppose 3*z = 2*w + w - 42, s*w = -z + 22. Calculate the lowest common multiple of w and q(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7608 + -289065\/38. Find the common denominator of g and 21\/(5 - -2) - 90\/(-44).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 - 128*h**3 + 12029*h**2 + 149380*h\/3 + 37636.\nAnswer: (h - 194)**2*(h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 16 - (5 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -57. Let u = m + -67.5. Which is the closest to -1? (a) -2\/3 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105.195 + 0.195. Let b = 30 + l. Let g = b + 70. What is the second smallest value in 0.2, g, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31557 is divided by 7879?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373112.3 centuries in months?\nAnswer: 447734760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-110))\/((5 - 12)\/770).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356992349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.97 - 0.03. Let n = 3 + r. Let i = 7721\/11586 - -1\/3862. Which is the nearest to n? (a) i (b) -0.2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1667\nAnswer: -833.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*r = 68986 - 68994, 86 = -5*s + 4*r for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.12 - 29.98. Let n = -46.1 - f. Which is the second biggest value? (a) -0.1 (b) 2 (c) 2\/11 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-49)\/(-14)*((-2720)\/(-210) - 13)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499590349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 1 - 15. What is the derivative of 0*h**2 - 92 - 207*h**r + 65*h**2 wrt h?\nAnswer: -284*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/19)\/(t\/((t*t\/t**(-37)*t)\/t)))\/(t**32*t**(-16\/3)*t) assuming t is positive.\nAnswer: t**(592\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 11. Let u be q(-3). Let v(y) = -12*y - 10. Let l be v(u). Which is greater: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1013, -1071, -1131, -1193?\n\"Answer: -h**2 - 55*h - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.11 + -5.67. Let s = -7.77999075 - h. What is s rounded to 7 decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/290)\/(3\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 1055 = -33*v + 27*v + 37 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1407, 1541, 1757, 2049, 2411?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -979191072 divided by -6?\nAnswer: 163198512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-96)*4*6\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/20 - 7*k**4\/12 + 7*k**3\/6 - k**2 - k. Suppose 55870 - 56210 = -68*m. Calculate p(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -211556*w**2. Let d(h) = -4*h. Give d(r(c)).\nAnswer: 846224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25*d - 2. Let v be n(-1). Suppose v + 57 = 4*c. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:45 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - (-1 + (0 - -2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 2, e: 1, v: 1}. What is prob of sequence we?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/7)*a**(-24))**(-1\/7) assuming a is positive.\nAnswer: a**(163\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16323*l. Let v(z) = -1256*z. Give -2*o(b) + 27*v(b).\nAnswer: -1266*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10103 or -9948?\nAnswer: -9948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*58\/3*-2. Let r be (9\/(-6))\/(3\/n). Suppose 2 - r = k. What is k rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 11*q**2 - 2*q + 7. Let z be x(-8). Let l = -204 - z. Suppose 4*n - n - l = 0. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*k = 611*k - 298*k + 8968 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/29 + 0\/(-3). Let q be ((-39)\/36)\/(174\/(-8)). Let p = j - q. Which is the nearest to -0.1? (a) -5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.1, 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t - 10. Let y be s(7). Suppose -2*u + y = -u. Let w be ((-720)\/(-3))\/3*1845\/u. What is w rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 3*p = -4, -3*f + 40 = -4*p. Suppose -2*h + f = 4. Solve -h*g + 12 = -3*u, -4*u = -5*g - 3 + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from {h: 3, p: 1, c: 5, w: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 - 1207\/7. Which is the biggest value? (a) 4 (b) z (c) -0.04 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5045*d + 5021*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Let z = 3 + 2. Sort z, -1, r in increasing order.\nAnswer: -1, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 - b. Let r(s) be the second derivative of 0 - 1\/3*s**3 - 4*s + 0*s**2. What is r(t(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155.26 - -160.26. Let p = -6.1 + -1.9. Let m = 3 + p. Which is the third biggest value? (a) g (b) m (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -190030048889472?\nAnswer: 190030048889472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4) + (-10)\/(-20) + 2. Suppose 0 = -b - r + f, 7*r = -2*b + 11*r - 20. Solve -v - v + 17 = 5*t, -v - 4 = b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1582094867 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159\/11 + 2033\/165. Calculate the common denominator of -67\/24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104305 and -146559.57.\nAnswer: -250864.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 751941884*w\/9 - 70677074614183682\/9.\nAnswer: -2*(w - 187985471)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1a50392 (base 11) to base 3\nAnswer: 20111120101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1034396, 1034404, 1034408, 1034408, 1034404?\nAnswer: 1034396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539681 to the power of 1\/2, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6650000*b. Let s be r(-2). Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*d**3 - 60*d**3 + 254*d**3 + 54.\nAnswer: 89*d**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -4.1712?\nAnswer: -6.1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 8*u - 920 = -245*u. Solve -4*d - 7*x = -u*x - 4, -3*d = -x - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/120 + 46\/8 - -14363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5314 + 5308. What is the closest to 1 in x, -0.021, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:40 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17731\/(-22797)*(-1 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - (sqrt(6)\/sqrt(2) + 3))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0\/c)*(c\/(c**(-2\/19)*c))\/c)\/(c**17\/c*c**21*c))**(-39) assuming c is positive.\nAnswer: c**(27339\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2024231302 (base 5) to base 8\nAnswer: 17610717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*p + 50 = 0, 3*k + 80 = -726*p + 718*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9168*j = 9380*j + 848 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 4)**2 + -5 + 0 + (-5 + -2*sqrt(7))**2.\nAnswer: 52*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:09 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9531090 - 4765537 - 2*z - 4765544.\nAnswer: -2*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {s: 3, w: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 0.2716, 171?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 873178 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7299667239 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let u(i) be the second derivative of 5*i**3\/6 - 7*i. Determine u(p(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40995, 81776, 122559, 163344, 204131, 244920?\n\"Answer: z**2 + 40778*z + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*a + 5, 29*i - 24*i - 10 = 0. Suppose 2*w + 3*k = 747, -4*k - 334 = -a*w + 1568. Calculate the greatest common factor of w and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o**(-1)*o*o)**(-39)\/((o*o**(1\/15))\/(o*(o\/((o\/(o\/(o*o\/(((o*o*o*o**(2\/17)*o*o*o)\/o)\/o)*o)))\/o*o*o))\/o)) assuming o is positive.\nAnswer: o**(-49712\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**3\/3 + 13*v**2\/2 - 4*v. Is 9 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-10))\/((-4)\/140). What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 11*o + 13. Let i(a) = -a**2 - 12*a - 12. Let p(r) = -4*i(r) - 3*n(r). Let z be p(-14). Let w(f) = 3*f + 1. What is w(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 1373589*l**2 + 471687372024*l - 471685998436.\nAnswer: (l - 686794)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (sqrt(4800)*3)**2) + -6*(sqrt(48) + 3 + sqrt(48)*-2)*1.\nAnswer: -43222 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.74 + 0.06. Let y = r - 6. Put y, -5, 1 in ascending order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-80)\/9644) + 4\/(-20). Suppose -p - 90 = -q. 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 135 minutes before 5:28 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203290 and 20?\nAnswer: 406580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fkf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*f = -f + 11, -5*t + 2 = -f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 + 43040*d**3 + 129030*d**2 - 387200*d + 215125 = 0. Calculate d.\nAnswer: -8605, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116319?\nAnswer: 3, 7, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0*m**2 + 4*m**2 - 7*m**2 + 0*m**2. Let s(n) be the third derivative of -5*n**4\/24 + 20*n**2. Give k(s(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q**3 + 25*q**3 + 64*q**3 + 58*q**3 + 3 - 51*q**3.\nAnswer: 127*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/51732888 and -127\/48?\nAnswer: 103465776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008401938166 to 7 decimal places.\nAnswer: -0.0084019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.59 - 1.41. What is the second smallest value in -0.3, j, 3\/94?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 less than 40\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 20, -418, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s + 17 = -3*q, -3*s = -4*q. Let p be q\/(-45) - 2\/5. Let i = -0.3 - -0.2. What is the nearest to -2\/3 in i, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - 11*k)*(0*k + 2*k - 3*k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -64*j**3 + 229*j**2 + 129*j + 16. Let q(g) = -32*g**3 + 115*g**2 + 65*g + 8. Let s(n) = -5*q(n) + 3*x(n). Factor s(o).\nAnswer: -2*(o - 4)*(4*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -12. Let t be (6 + -2 + -3)\/p. Let z = -67\/408 - -2\/51. What is the closest to 0.1 in 2, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 181*i**2 + 35*i + 631. Is v(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5422.8076 * -7.\nAnswer: 37959.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280922 - 162327. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k**(-15)\/k))\/k)*k**(-17))**(-3\/19) assuming k is positive.\nAnswer: k**(96\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/15 + 2*k\/5 - 4\/15 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*x**4\/13 + 922*x**3\/13 + 262*x**2\/13 = 0. What is x?\nAnswer: -1, -131\/330, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - 4) + (2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose 19*h - 30 = 9*h. What is the lowest common multiple of 2 - (0 - p) - 0 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 3*n - 3 = 3, 1463*v - 18 = 1461*v - 5*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*a = 21, 0 = t - 4*t + a + 18. Suppose 3*r + 1084 = t*r. Let u be (4\/6)\/(-3 - r\/(-180)). Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112457145925.1 - 0.02.\nAnswer: -112457145925.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60097, -120268, -180439, -240610, -300781?\nAnswer: -360952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:39 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55328 and 12008.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 7\/9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)\/(-1) + 2. What is the remainder when 12 is divided by 1\/1*(r + -4)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5) + -1 + sqrt(75)*-5)**2 + (-4*(sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3))))**2*6.\nAnswer: 48*sqrt(3) + 2017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*p + 32*p + 68*p to w*p + u and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 - 216 + 371 - 3*i**3)*(-2 + 4 - 1 + (-3 - 2 + 3)*(3 - 3 + 2)).\nAnswer: 9*i**3 + 174","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 121022 (base 3) to base 4.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61.1 and -0.2271.\nAnswer: 60.8729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21050?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20132012 + -10?\nAnswer: 20132002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + -5 - 2 - (1 + -49 + 50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -229000 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70955*o**3 - 2*o**2 + 160128*o wrt o?\nAnswer: -425730*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2178 = 5*v + 10*v. What is the smallest common multiple of 441 and v?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 a factor of 356027928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121853.\nAnswer: 121853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/30*3\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249918 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2 - 3*i + 5*i**3 - 3 - 13*i**3. Let z(o) = -32*o + 9*o**3 - 2*o**3 + 0*o**3 + 59*o - 25*o. What is -2*f(b) - 3*z(b)?\nAnswer: -5*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5386*d**4 - 5386*d**4 - 2950*d**5 + (0*d**3 + 3*d**3 + 0*d**3)*(2*d + d**2 - 2*d).\nAnswer: -2947*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 60?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (23\/(-69))\/((-3)\/297). Suppose -88 = -5*l - i. Let a(m) = -m**2 + 11*m + 5. Give a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138052 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 + 2 + 2 + 5333*j - 7. Let u be w(-3). Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*p - 4*k, -p - 341*k = -327*k + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 4. Calculate the common denominator of g\/(-1) - (-165)\/50 and -5\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:48 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 2\/7 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14394350*m**2 - 16207003?\nAnswer: 28788700*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 144\/7 + 228\/7*i - 6\/7*i**4 + 18\/7*i**2 - 72\/7*i**3 = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 170*h**2 + h. Let j be n(1). Let m = -58 + j. Calculate the remainder when m is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -0.5, -51?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672037 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 - d. Let p(h) be the first derivative of -7*h**4\/4 - h**3\/3 + h**2 - 193. What is p(f) + 2*v(f)?\nAnswer: -5*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**4 - 3 + 16*w**4 + 2 - 2*w**3 - w**2 + 0*w**2 to k*w**3 + f*w**2 + o + r*w**4 + i*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**2 + 7*i + 15. Let f(p) = -50*p**2 - 19*p - 45. Give -4*f(v) - 11*n(v).\nAnswer: 13*v**2 - v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*m + 87 = 0, 6*w - 2*w - m = 56. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 247452770.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 - 15 = 0. Let t be -5*(-1 + 2\/5). Suppose k - 3*k - 28 = -h, t*h - 5*k - 81 = 0. Calculate the remainder when h is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:07 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/194112 and -143\/6.\nAnswer: 194112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -1 - (4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (3 - 2) + 1 + (2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.3 (c) 1 (d) -0.14 (e) -4 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33230.49 centuries to months.\nAnswer: 39876588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - (-1 - 90)) - (72 - 88).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*g - 9*g + 448 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.83 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7403*a + a**3 + 199*a - 7821*a + 0*a**3.\nAnswer: a**3 - 15025*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from hshiiiisisihhhii?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*i - h = 235*i + 340, i - 3*h = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36668 and 453989?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1002 - -1006. Let u be v\/20 - 62\/10. Let t(h) = h**3 + 4*h**2 - 8*h - 5. Give t(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -941572 * 5\nAnswer: -4707860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 + 6. Calculate v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110852715 and 785.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -111*h**2\/5 + 429024*h\/5 - 6957 = 0.\nAnswer: 3\/37, 3865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 - -200. Let o be b\/6*36\/42. Solve o*g - s = -16, 2*s - 4 = -g - 0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268501230 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/5, 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 xixx when four letters picked without replacement from {x: 3, i: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4118 - 8237 - 1184*f - f**2 + 4122 as z + p*f**2 + g*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 greater than or equal to 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 100 - 1 - 19 - x**2. Is 18 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 326123, 326124, 326125?\n\"Answer: a + 326122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from {v: 8, q: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19504069, -39008130, -58512185, -78016234, -97520277?\nAnswer: -117024314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c6 (base 15) to base 5.\nAnswer: 132421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 27*s - 24*s = 910, -5*a - 2262 = -s. Let p = a - -436. Suppose -6*b + b = 2*w + 1, 0 = -3*w + 3*b - 54. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -104. Let w = 93.24 + o. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:08 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 15*q - 21. Let i be r(15). Let n(x) = 3*x**2 + 10*x - 31. Is n(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 882 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65432729?\nAnswer: 29, 809, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501 (base 6) to base 8.\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 99. Calculate the remainder when a(10) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40254, 80507, 120760?\nAnswer: 161013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*o - 2 + 2 - 843*o.\nAnswer: 179*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 11 - (35 - 30 - (-16 + 2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 6240*s - 2433600 = 0 for s.\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 148. Let t = 830 - 425. What is the remainder when 2\/15 + 29106\/t is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1726.6 or 0.1?\nAnswer: 1726.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {s: 1, r: 3, h: 1, o: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m - 1. Let b be s(-2). Suppose 20 = 3*u - 2*i - b, -5*u = 3*i - 131. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 18*s + 10*s - 21*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/4 + s**3 + 9*s**2\/2 + 2*s - 1188. Determine o(-6).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*m**2\/4 + 57*m\/4 + 3\/2.\nAnswer: 3*(m + 1)*(17*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxrqrrxriigi. What is prob of sequence rrxx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = -3*u + 2, -4*u = -p + 1. Calculate the remainder when (u + 1)\/(1\/19) is divided by 1*1*7 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let l be s(4). Suppose 0 = 64*b - 61*b - 6. Solve b*w = l*x - 7 - 1, -3*w - 4 = -4*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 706, 1059, 1412, 1765?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830 (base 10) to base 4.\nAnswer: 30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*n - 267*n - 143280 = -151*n + 180*n for n.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(1\/5)\/b)\/b*b)\/b*(b\/b**(-5))\/b)**39 assuming b is positive.\nAnswer: b**(819\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + h**2 + h + 3 + 1. Let d be b(-4). Suppose -2*k - d*z = z - 22, -2*k + 20 = 4*z. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Suppose 3*a + 33 = 5*i, i + 2*a = 9 - 5. Suppose 2*s - 4*r = 38, 4*r - 109 = s - i*s. What is the lowest common multiple of s and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 + 1. Let m(i) = -i**2. Let k = 405 - 423. What is k*m(b) - 2*p(b)?\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01691 rounded to four decimal places?\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 91. Let j be 7 + c\/15*-3. Solve -4*m + j = -7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*l + 4*t, -3*l + 0*t + 3*t = 21. Let o = 7 + l. Suppose -2*a = o, 3*w + 2*a - 9 = -0. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + -4 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3245 + -4?\nAnswer: -3249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -65) + (13 - 15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**(6\/17)*h**(-3)*h**(-5) assuming h is positive.\nAnswer: h**(-142\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049809?\nAnswer: 17, 120577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44728922 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 180\/(-288) - 232852\/(-32)?\nAnswer: 29104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 252*k**2 - 5033*k - 9128. Let d(j) = 15*j**3 - 3282*j**2 - 65430*j - 118665. Let s(c) = -2*d(c) + 27*m(c). Let s(y) = 0. What is y?\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 109\/10*p**2 - 18\/5*p - 11 - 56\/5*p**3 + 9\/20*p**4. Determine j, given that x(j) = 0.\nAnswer: 1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by -1604?\nAnswer: 215\/1604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4161*i**3 + 2683*i**3 + 988*i**3.\nAnswer: 7832*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 5. Let b be t(-5). Let f be 46\/(-4)*(-8 + 2). Let j = b + f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*z = 3*s - 22, 2*z + 6 = 0. What is the second derivative of -46 - d**s - 4*d + 46 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146348853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2694183 and 3487.\nAnswer: 29636013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 8:50 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5824397 + 1875205.9.\nAnswer: 7699602.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 218366, 218395, 218444, 218513, 218602, 218711, 218840?\n\"Answer: 10*i**2 - i + 218357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znzu when four letters picked without replacement from nnzznuzzzn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42942*r - 85883*r + 42946*r = 15, -3*s = 6*r - 48 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*r - 6. Let m be r\/(-2)*4\/(-3). Let u(i) = i**3 - i**2 - 5*i + 2. Let t(q) = q**3 + q**2 - q + 1. Let k(f) = m*t(f) + u(f). What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.75 + -0.772. Let f = 39.022 + x. Let t = f - 44. Which is the third biggest value? (a) -4 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189861*f*g**5 - 6261*f*g**2 - g**2 - 2*g wrt g.\nAnswer: 11391660*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-35)\/(-10) + -5)*-292 is divided by 77.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244824 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -19 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) -0.04 (b) 3.511 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6077.44 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221352647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -416559.658 rounded to the nearest 10?\nAnswer: -416560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r + 17. Suppose 85 = 15*z - 155. Suppose -25 = z*s - 21*s. What is g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*p = 135*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-16) + (-666)\/(-144). Suppose u*m - 322 = 253. Calculate the remainder when m is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 864*o + 18521. Give v(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n**(-6\/11)*n)))**(-12)*n**15*n**(-23) assuming n is positive.\nAnswer: n**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 35 - 136) + 75.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82305*q**2*w - 52697909*q**2 - 169*q*w**4 wrt w.\nAnswer: 82305*q**2 - 676*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15 = 3*n. Suppose 72 = 3*u - 2*g - n*g, 0 = 3*g. Suppose 0 = 4*s + 5*r - 6, 4*s - u = 3*r + r. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**2 + 13*u**2 + 8*u**2 + u + (12 + u - 9 - 12)*(-u + 0 + 0) + (0 + 0 + u**2)*(2 + 2 - 3).\nAnswer: 14*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u + 6. Let x(d) = -6. Let a(v) = -2*v - 36. Let p(r) = -a(r) + 6*x(r). Determine -2*c(k) + 10*p(k).\nAnswer: 2*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 43. Let v be d(-8). What is the nearest to 2\/3 in v, -5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1670341 * -11.\nAnswer: 18373751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) + 455\/273. Solve o*s = 3*b + 19 - 2, -3*s = 2*b + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72348 divided by 12058\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -913, -1003, -1079, -1135, -1165, -1163, -1123?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - 1\/(-3). Let g(w) = w**2 - 6*w - 4. Let q be g(5). Let o = q - -14. Solve x*r - 5 = o*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037118792 + 1037118792 + 134*g.\nAnswer: 134*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6255, -6253, -6251, -6249?\nAnswer: -6247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1 - -7) + 0. Let n be (3\/3 - 0)*1. Let f(y) = 2*y**2 - y. Let s be f(n). Which is the nearest to 0.2? (a) -5 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40)*(-4)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300 divided by -6?\nAnswer: -4150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217423, 1739434, 5870613, 13915546, 27178819, 46965018, 74578729, 111324538?\nAnswer: 158507031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1672 and 7020.\nAnswer: 2934360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 494824601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(2*sqrt(10)\/sqrt(2)) + sqrt(18) + sqrt(36)\/sqrt(2) + 0 + (-5 + 2*sqrt(128)*-1)**2*1.\nAnswer: 333*sqrt(2)\/2 + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127013300866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r**2 + 2. Let w be v(2). Suppose 0 = w*a + a. Suppose 0 = 5*j - a*j - 75. Solve -21 = -2*n + 5*c - 6, j = -3*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/60 - 19*k**4\/24 + 31*k**3\/3 - 9512*k**2. Determine t(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002315139639 to 7 dps.\nAnswer: -0.0023151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -79*y + 1 - 8 + 84*y - 2*y**2. Let o(n) = -4*n**2 + 9*n - 13. Calculate 11*c(p) - 6*o(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-6))\/((-6)\/8) + 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Suppose 3*m + 2*w = 27, 8*w = -3*m + 5*w + 30. Suppose -3*r = -2*c - c - s, -2*r = -3*c - m. Let g(b) = -4*b - 5. Calculate g(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*v**2 + 43*v**2 - 58*v**2 + 2*v**2 - v**2 - 2*v**2 - 2*v**2 - v**2 + 5*v**2 + (-3*v + 2*v + 2*v)*(-5*v + 2*v + 4*v).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7328 and 20656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 137 = -3*r, 6*g - 121 = -582*r + 579*r - 4 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Let h(z) = 2 + i - 14*z - z**2 - 3. Let j be h(-11). What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**2 + 11*f + 12. Suppose 2 + 6 = -8*u. What is the remainder when 19 is divided by j(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1371*j**3 - 8*j**2 + 27*j - 10. Let h be z(6). Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 12, 26352 + 7926 = 5*p + 2*n. Is p a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14157103 divided by 5?\nAnswer: 14157103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 63 - ((-1407)\/77 + (-153)\/(-561))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = l, -2*l + 4*a + 62 - 6 = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 3:51 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*h - 3012, -4*h - 2*q - 5994 = -0*q. Let m = -981 - h. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.8 and -45.74.\nAnswer: -1454.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let i(s) = 4*s**2 + 28. Let p(q) = i(q) - 5*v(q). Let x be p(-5). Solve -d - 1 = -x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 35*q - 230 = 0. Let f be -2 + q\/8 + 4\/16. Suppose f*y - 2560 = -0*y. Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/30 + 31*m**5\/60 - 22*m**2. What is the third derivative of b(g) wrt g?\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 21\/(-3) - -40. Is 20 a factor of (-3 - 0\/(-3))*(-3120)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 135848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30293*-75\nAnswer: 2271975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r = 171*r - 144 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -7)*((-290)\/25 - -2). Let m = f + 71. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**14\/v)\/v)\/(v*v**8\/v))\/(v**(-1\/11)\/(v\/(v\/v**(-1\/9)))))**6 assuming v is positive.\nAnswer: v**(788\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 31*v**2 - 13*v**2 - 19*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*((-1)\/(-1))\/(-1). List the prime factors of ((-8)\/x)\/(4\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 2*p**2 + 6 + 4 - 10*p**3 + 7*p**3 + p**2. Let i be d(8). Let g be (320\/12)\/((-4)\/i). What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 76475124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (726\/22)\/(-3*(-15)\/(-10))*9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37247081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12491 - 23301 = -369*u - 370*u + 16533 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 37 = -3*w, -2*w - 34 = 4*q - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*s - 112, -80 = -4*d + d - 4*s. Calculate the smallest common multiple of 416 and d.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(704))**2 + 0 + 2*1*(1 + sqrt(396)).\nAnswer: 12*sqrt(11) + 228098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16366*h + 625209 = -978659 for h.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1714\/34751 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 275448.3 millennia to decades.\nAnswer: 27544830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 157*n + 2150. Let m be s(15). Let u = -468 + 688. What is the greatest common divisor of m and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 82208.\nAnswer: 411040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -8502?\nAnswer: -8506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226 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: Sort -1, 4, 0.07, -3 in decreasing order.\nAnswer: 4, 0.07, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k. Suppose k = -x - 1 - 0. Sort -3\/5, x, -2.\nAnswer: -2, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c, -2*c - 66 = -3*u - c. What is the remainder when 43 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 1. Let f be (2 - (-2 - -3)) + 1. Let k be (-1)\/((1 - f)\/(-1)). Determine v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6760 is divided by 413.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, g: 1, r: 1, m: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/26*(-88)\/220?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/2 - 259*f**2\/2 - 6583*f\/2 - 26565\/2 = 0.\nAnswer: -231, -23, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5*v + 7094*f**4*v**2 + 894*f**2*v**2 + 51*v**2 wrt f.\nAnswer: 120*f**2*v + 170256*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2197*d + 7 + 539*d + 42 - 49.\nAnswer: 2736*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/49 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**3)**(-20) assuming m is positive.\nAnswer: m**(-620\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479.4 + 479. Let c = -287\/444 + -3\/148. What is the closest to 1 in -0.11, m, c?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29284021?\nAnswer: 13, 71, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 503*s**4\/12 + 703*s**2\/2 - 6*s - 2. Differentiate l(m) with respect to m.\nAnswer: 1006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d50 + -1?\nAnswer: d4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 10. Let z be w(8). Let j be z\/(-11) - (-210)\/66. Differentiate 0 + 2 + j + 0 - 2*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5591830 to the nearest integer?\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5 + 125955*r**4 - 2898777*r**3 - 9452031*r**2 - 9703926*r - 3276624 = 0.\nAnswer: -42008, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 980750 = a. Let h = 115150 - a. Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/15, 0.2, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 23, -43, -171, -385, -709, -1167, -1783?\nAnswer: -2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -125786592 divided by 651744?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1157\/19 + 61. Let n = 901\/2 - 6311\/14. Which is the nearest to g? (a) n (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 + 89 - 53)*(19 - 14*r - 19) to the form w + p*r and give p.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9598 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2*a + 2. What is q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.2 + -71. Let o = d - -8.76. Let z be 2\/(-6)*-1*-1. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1417 or -4253\/3?\nAnswer: -4253\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tciccitccctictci. What is prob of sequence cccc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 367 = 13. Suppose -f + 142 = 2*x. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -70*o - 806. Put -2, 2, o, -22 in decreasing order.\nAnswer: 2, -2, o, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2197 and 1521.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.142412 micrograms?\nAnswer: 0.000007142412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 11 + -1 + (-3)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*b, -4*b + 8*b = 4*n - 12. Let u(h) = 9*h - h**n + 4 + 1 - 4*h - 3. Determine u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34871360 divided by 16\nAnswer: 2179460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15))**11\/(l*l**(1\/5))**(3\/16))**(16\/3) assuming l is positive.\nAnswer: l**(-406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12866 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21312 divided by -666\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3884 + 3892. Solve -4*r + 16 = 0, -2*t + 30 = -s*r + 13*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.025 - -3.975. Let t = 90 - 265\/3. Let f = 0.12 + -0.02. Which is the closest to f? (a) t (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u = -171 - 337 - 218 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3167440 and 7618040.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1008\/432 - ((-296)\/(-42))\/4. Let m = 0.29 + -0.09. Let w be ((-4)\/(-16))\/(3\/(-8)). Which is the closest to m? (a) 0.1 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -364*i**3 - 1836*i**2 - 2264*i - 96 = 0.\nAnswer: -3, -2, -4\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 440 = 0. What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146 - -359 - 79)*1\/6.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1539) - (sqrt(1539) + (1 + sqrt(1539))**2 + sqrt(1539))) + -3 - (-4 + sqrt(1539) + 4 - sqrt(1539))).\nAnswer: -1546 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*u - 42, u + 0*s = 4*s + 14. Suppose 3*g = u*g - 91. Calculate the greatest common divisor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -421\/6 - -69. Let r = 685 + -2765\/4. Find the common denominator of d and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(((-47214)\/(-172))\/61)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2137103 + 2*i**3 + 2137103.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-45)*(x*x*x**(-1\/4)*x)**41*(x\/(x*x**5)*x*x**(-6))\/(x*x**(-6)*x*x**(-2\/7)) assuming x is positive.\nAnswer: x**(3627\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(539) + 1).\nAnswer: 2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*r - 178*r - 22*r**3)*(-94 - 96 + 64).\nAnswer: 2772*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**3 + 151*r**2 - 47*r - 207. Give o(-6).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 425 and 1020.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:54 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 32505 = 5*c, 4*u - 7473 = 5*c + 18567. List the prime factors of u.\nAnswer: 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 83. Suppose -y*d - 2 = -23. Suppose 994 = -2*u - 5*r + 5159, u - d*r - 2110 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 - 21*g. Let y(w) be the third derivative of 0*w**3 + 0 + 1\/12*w**4 + 0*w - w**2. Give y(z(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 785*w**3*x - 183*w**3 - w**2 + 133*w + 38*x wrt x?\nAnswer: 785*w**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39454 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-2 - 2*o**3 + o**4 + 2).\nAnswer: -2*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 4 - 4 + (-34 - 3 - 14)*(-11*r + 21*r + 15*r)*(4 + 0 - 1).\nAnswer: -3823*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 299*t - 15. Let m(g) = -149*g + 8. Let w(q) = -3*b(q) - 5*m(q). Is w(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niwiwzbwnubz. Give prob of sequence wi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 5169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x*x*x**24)\/x**(-1)*x**(1\/16)\/x**(-28))**(-24) assuming x is positive.\nAnswer: x**(-2787\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m\/(m**(-4)*m))\/m*m))**(-1\/35))**(-3\/8))**(-5\/2) assuming m is positive.\nAnswer: m**(9\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*n + 19094, -116*b + 111*b = -2*n - 47619. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -88*k**2 - 1. Let f(b) = 6*b. Give f(r(m)).\nAnswer: -528*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(-1\/3)*f)*(f\/(f\/(f**(1\/16)\/f)))\/f assuming f is positive.\nAnswer: f**(-29\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(119))\/sqrt(7))**2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:21 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, c: 1, x: 5}. Give prob of picking 2 a and 1 x.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f - 167. Let q = f + 85. Let d be (1*-27)\/(3\/(-2)). Calculate the greatest common divisor of q and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 5, 29 = -p + 3*c. Calculate the common denominator of -13\/11 and (2\/5)\/((-4)\/p*3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2579)\/2 - 4\/8. Is (-2)\/(-12) - k\/36 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56517, 56520, 56525, 56532, 56541, 56552?\n\"Answer: d**2 + 56516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 308 = 5*s - 2*w, 2*w + 41 = -s. Let y = -52 - s. Put -3, -4, y in ascending order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65213, -260914, -587103, -1043780?\nAnswer: -1630945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -86 - -86 - (-8 - (2 - 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 1012*j**3 - 4112*j**2.\nAnswer: 4*j**2*(j - 4)*(j + 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkkkkpkkkkp. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**5 - 51*s**4 - 151*s**2?\nAnswer: -300*s**2 - 1224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 9:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**2 + 22028*v - 9438.\nAnswer: -2*(v - 1573)*(7*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.91 - 5. Let p = 5.09 + m. What is the biggest value in p, 3, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284519683053 - 0.3?\nAnswer: 284519683052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 174\/3 - 1*2. Suppose -10 = 5*g - 35. Suppose 0 = l + 3*j - 10, 2*l + 2 = g*j + 11. What is the greatest common divisor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-7))\/(-9)*70\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzxkskkfkfklk. What is prob of sequence zkxf?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3063637008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 64900*v**2 + 266561148*v - 26771645052.\nAnswer: 4*(v - 8061)**2*(v - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecaecaayaayeeaayaaa. Give prob of sequence cyae.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 693 = 0. Let h = c - 176. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 9*z**2 + 18*z - 3. Determine c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -887891, -887740, -887589?\n\"Answer: 151*y - 888042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u*u**(4\/13))\/u))\/u)\/u*u**(1\/18))\/(u**20*u\/u**(-4\/5)))**43 assuming u is positive.\nAnswer: u**(-1159753\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 7) to base 10.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10538 + 10537. Is d at least as big as 6\/559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 3, r: 3, q: 1, f: 2}. What is prob of sequence qr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 566147 minus 20.649?\nAnswer: 566126.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from ugogcsa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 56*q**2 - 4*q - 8. Let j be w(-2). Let y = 226 - j. Put 5, -4, -1, y in decreasing order.\nAnswer: 5, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (58\/(-6))\/((-5)\/(-30)). Let b = -40 - h. Suppose 14*d = -0*d + 84. Calculate the least common multiple of d and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*m + 3 - 0, -3*h = -4*m + 9. Suppose -4*s + m*s = -8800000. Round s to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 117 - 84 = 3*c, 3*v + 47 = 5*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968195406?\nAnswer: 2, 41, 47, 463, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 - 52*f - 51. Calculate the remainder when 203 is divided by t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.5275 years to decades.\nAnswer: 69.75275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.8. Let n = -0.299971 - u. Round n to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -454, -729, -1004, -1279, -1554?\n\"Answer: -275*p - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000143217 to seven dps.\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 78978 = -5*p, -108*i + 113*i - 197544 = -4*p. What are the prime factors of i?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**2 + 43 + 0*u + 6*u**2 + 4*u**2 - 21*u**2 - 4*u to m*u**2 + i + j*u and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 405583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 11)\/(12\/(-2)). Solve -2 = 3*m + m + 2*r, d = 3*m - 2*r + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 724*s**2 - 11*s + 652*s**2 - 1950*s**2 + 880*s**2 to c + j*s + q*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u + 59. Give j(-18).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/15)\/((-76)\/(-285))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + d - 1375, -2*v + 456 = -v - 2*d. Let u = v - 317. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243090 and 1812.\nAnswer: 73413180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.504368234 to 3 dps.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 4:28 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367729917 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*r - 19621 + 19621)*(-r**4 + 2*r**4 - 3*r**4).\nAnswer: -394*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-116)\/145*(1 - 261)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2 - (-2 + 5\/(-2)). Let n be 4\/2 - 1*-2. Put h, n, -4 in increasing order.\nAnswer: -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 511515 (base 7) to base 15\nAnswer: 1abc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000148641 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2. Let q(o) = -35*o**2. Calculate u(q(r)).\nAnswer: -8575*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*o + 77*o = 88*o + 11454 - 1824 for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let k(q) be the third derivative of -5*q**6\/144 + 7*q**4\/24 + 4*q**2. Let i(b) be the second derivative of k(b). Calculate i(c(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 4, u: 2, k: 1}. Give prob of picking 1 l and 2 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**2 + 4*k + 5. Give n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g**2 + 20*g - 57. Let f be v(5). Suppose j - f = 158. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 44*o = -40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*6293\nAnswer: -3775.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*o + 9. Suppose 13 = 4*s - o. Let u be 99\/(-21) + (-4)\/14. Sort s, -2, u.\nAnswer: u, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k**3 - 677*k**2 + 1322*k - 701. Let a(y) = 4*y**3 + 226*y**2 - 440*y + 234. Let o(f) = -17*a(f) - 6*q(f). Determine h, given that o(h) = 0.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-238)\/68)\/((-3)\/(5400\/105))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 94855 = -5*d + 261324, -d = -7. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 88*c**5\/3 + 412*c**4\/3 - 212*c**3\/3 - 1832*c**2\/3 - 560*c\/3 + 736\/3 = 0.\nAnswer: -46\/11, -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let r(w) = -22071*w**2. Give r(k(z)).\nAnswer: -22071*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 8 + 208*p**2 + 3*p - 15 + 65*p**2. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b + 3*b)*(2042 - 1040 - 1217).\nAnswer: -860*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:51 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/4 + 365*d**4\/12 - 60*d**3 + d + 26. What is c in u(c) = 0?\nAnswer: 0, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 70*q**3 - 78*q + 7. Let z(a) = -23*a**3 + 26*a - 2. Let s(c) = -2*o(c) - 7*z(c). What is the second derivative of s(p) wrt p?\nAnswer: 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22801379 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 + 150. Solve -d*b + 18 = 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 660008422, 660008421, 660008420?\n\"Answer: -c + 660008423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/20 + q**3\/6 + q**2. Let t be g(1). Let v = -29 + 34. Is t > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + (-68)\/(-24). Let p be i - (-12)\/8*6. Calculate the remainder when 28 is divided by (-75)\/45*p\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let x = f - 0. Find the second derivative of n**3 + x*n - n - n wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88321, 352260, 792165, 1408036?\n\"Answer: 87983*s**2 - 10*s + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-15))\/((-3)\/45). What is the remainder when 12 + x\/2 + -1 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 57*g**2 - 105*g + 51.\nAnswer: -3*(g - 17)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -227. Suppose -2*s + 33 = -3*g, 3 = -g - 0. What is the highest common factor of s and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 97 = 8*c, -751*n + 2*c - 42 = -1508*n + 754*n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 153 = 12. What is the derivative of f + 26 + 26*w + 3*w**2 - 13 - 27*w wrt w?\nAnswer: 6*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33864499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let v = 0.11 - 4.11. Let s = w + v. What is the nearest to s in 1, -0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495*l**2*n**5 + 3*l**2*n**3 - 2*l**2*n**2 + 30*l**2 + 45*l*n**2 - 2 wrt n.\nAnswer: 29700*l**2*n**2 + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 9*w**2 + 12*w - 2. Let f be g(8). Suppose f - 10 = 4*q. Solve 3*c + 3*a - 12 = 0, 4*c - q*a = -a + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.18 and 79184.32686.\nAnswer: 79184.14686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((3 - 0) + (5 - (5 - -7)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/135)\/(((-81)\/15)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*s + z + 4*z + 25, -8*s - 30 = 3*z + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by -499618?\nAnswer: -24\/35687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5533, 5555, 5577, 5599?\nAnswer: 5621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*v + 2*v + 2 = 0, 0 = -2*f + 4*v. Find the third derivative of -3*s**2 - 4*s**2 + 3*s**4 + 5*s**f wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 2, l: 2, p: 1, e: 3, u: 7}. What is prob of sequence ny?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*m + 19 = -8, -3*y + 5*m - 11 = 0. Which is the nearest to 1? (a) y (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -193993484*i + 224656225.\nAnswer: -193993484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 1 + 1)*(16*y**2 - 10*y - 6*y**2 + 13*y).\nAnswer: -10*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142 at least as big as 4139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*s**5 - 33*s**2 - 30*s**2 + 63*s**2 - 3*s**5 + 3*s**5 + 2*s**5 + (-2*s**2 - 2*s + 2*s)*(-2*s + 2*s + 2*s**3) + s**3 - s**3 + s**5.\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Suppose 7*m + 90 = 12*m. Suppose 5*j = -3*l + m, 0 = -4*l - 2*j - 3*j + 19. Determine q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let n = -55 - -85. Suppose -2*y = g*y - n. What is the highest common divisor of y and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8851156, -2, 1 in descending order.\nAnswer: 1, -2, -8851156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 6}. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17784 is divided by 1477.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 2090*y**4 - 289470*y**3 + 1188980*y**2 - 310175*y - 1786530 = 0.\nAnswer: -113, -1, 2, 3, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, m: 5}. What is prob of picking 1 m and 1 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 - -656. Let t be 1 + (-2)\/12*z. Which is smaller: t or 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 57*b**2.\nAnswer: -3*b**2*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/158603 and -35\/20099.\nAnswer: 16018903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 289, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023342 - -3203?\nAnswer: 1032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31641, -126647, -285023, -506769, -791885?\n\"Answer: -31685*j**2 + 49*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 8372\/(-437) + 3\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 28 = 11*k. Is (-13 - 0)*(k + 3)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120*5879373.\nAnswer: -705524760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 137.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4893)\/2796*(0 + 2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*f*t**3 + 1800*c**3*f*t**2 - 2*c**3*t - 35125389*c**2*f*t**3 - 5*t**2 + 806 wrt t?\nAnswer: 6*c**3*f - 210752334*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, 2\/7, -5, -4, 828482?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5*(25\/(-9))\/((-19250)\/(-3300)). Let v be 542\/136 - (-1)\/4. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435 + -437. Let o be -3 + 22 - (i - -11). Suppose 2*s - 7 = 3, 0 = 2*m + 3*s - 23. What is the highest common factor of m and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)*(-3)\/(-3). Let u be ((-12)\/10)\/((-14)\/35). Suppose l - 2*a + a = 0, -2*a = -4*l. Solve 3*p - 1 + l = -5*f, 5*p - u*f - 13 = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 6 - (-4 - -18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320))\/sqrt(10).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*g = -13, 4*a = -2*g - 4 - 4. Let c = 5 - a. Which is smaller: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -453 + 449. What is the fourth smallest value in c, 0.2, -0.02, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297818.8 milligrams to kilograms.\nAnswer: 0.2978188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 5 + 4*v)*(0 + 0 - 7)*(5 - 1 - 2)*(-2 + 7 - 2) to x + p*v and give x.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0854026ug in kilograms?\nAnswer: 0.0000000000854026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 324556579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(119)*5*-2)\/(-4*((sqrt(567) - sqrt(7)) + sqrt(7))*3))**2.\nAnswer: 425\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (35 - -59) + -23 + 8.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 8 + 67. Let t be ((-4775)\/k)\/(2\/12). Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 20*u**2 - 109*u + 2. What are the prime factors of z(-8)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4540 = -7*k - 4568 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120033676.\nAnswer: 2, 7, 47, 197, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/6 in 1, -3, -1\/3, 0.18, -0.026?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/339 or -5?\nAnswer: -10\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6434287 (base 9) to base 2.\nAnswer: -1101001001101110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnsssnnssyssyysss. Give prob of sequence ss.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 44*c**3 + 2*c**2 + c + 3. What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose 95 = -5*n - v*y, 3*n + 7*y - 3*y = -60. Let a = -8 - n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 5*i = 44, -r = 2*i. Let j be 25\/(-30)*(-2)\/30. Let k = 4\/9 + j. Is r at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/3 + 79*x**2\/3 = 0. What is x?\nAnswer: -79, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 3*f - 203. Suppose 72*o + f = 75*o. Calculate the lowest common multiple of 24 and o.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -75 - 25 - 14*q - 13. What is the hundreds digit of v(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -42*67\/(-33768) - (2 + 14\/(-8)). Let g = -5 - 2. What is the second biggest value in 4, 5, l, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -35*j + 27. Solve 0 = -0*s + j*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:13 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18*g + 274 = 0, -7244*a - g = -7249*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 0 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + -320422014?\nAnswer: -320421402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/7 + 151*b**3\/7 - 6633*b**2\/7 + 61085*b\/7 + 67868\/7 = 0.\nAnswer: -188, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 + 261. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 331075213 and 331075212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4 * 110.3.\nAnswer: 375.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034280812.\nAnswer: 2, 1979, 130657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 118 = -210*s + 119 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110112102211100 (base 3) to base 4\nAnswer: 121122111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*r**2 - 15 - 3*r**4 + 3*r**4 - 12*r**3 - 5*r**4 - 44*r + 2*r**2 + 6*r**4.\nAnswer: (r - 15)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.824 times 3.5?\nAnswer: 9.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1221 and 550264.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 at least 252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5059540.56 to the nearest one hundred.\nAnswer: -5059500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 - 5*m + 5. Let o be s(5). Suppose o*w - 11 - 9 = 0. Suppose 3*d + 27 = w*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*m**2)*(-m - 1 + 1)*(-7*m - 5*m + 3*m) + 2*m**4 - 3*m**4 + 3*m**4.\nAnswer: 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:28 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 873 and 9?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/59 (b) -1213 (c) 1 (d) 2 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(19))*6)**2.\nAnswer: -180*sqrt(19) + 909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q = 38*q - 42 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6747 is divided by 1356.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t. Let y(m) = 3*m. Let n(b) = 2*s(b) - 9*y(b). Let h(q) = 6*q + 5*q - 24*q + 12*q. What is n(h(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, b: 6, u: 3}. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -5*g + 449. Suppose -2*b = 2*j - 56, -3*j - 2*j = -2*b - g. What is the remainder when (-31)\/(-2)*(5 - 3) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 1815.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9 and -27\/212533364.\nAnswer: 1912800276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136 + 93 - 54)*(0*t - 2*t + 4*t)*(-2*t**2 + 2*t**2 + t**2) to the form z*t + q*t**2 + v + m*t**3 and give m.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2)*4)**2 + 6*sqrt(68)\/sqrt(4).\nAnswer: -58*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/4 - l**3\/6 - l. Let u be j(-1). Suppose -223386 - 288614 = u*t. Round t to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/42*(13 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -1. Suppose -k - 11 = 3*v - 4*f, f = 0. What is the common denominator of -65\/4 and 1\/(v\/(-201)) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150647298, 150647300, 150647302?\nAnswer: 150647304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 32. Suppose 5*j = -d, 4*j + d = 3 - u. Solve 0 = 4*q - 19 - j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.03. Let c = r + -0.0312. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.78 in 577, -2, 5, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -87.8. What is the smallest value in 0.4, 3, q, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6620103 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/2))**(3\/7)\/(i**(-9\/4)*i*i*i\/i**(-2\/27)*i) assuming i is positive.\nAnswer: i**(-569\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:43 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6602*g - 1337*g + 4641*g - 960*g - 8383 wrt g.\nAnswer: 8946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, e: 1, a: 3, f: 2}. What is prob of sequence ea?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-10))\/(1\/8). Let z be 1\/3 - 10\/(-6). Suppose 158 = -z*b + s*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*q**3 + 11*q**2 - 11*q**2.\nAnswer: -269*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 12*t + 1. Let k be p(6). Solve -4*a - 3 - k = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18144 = -4*z, 2*d + z - 4*z = 9068. Suppose -4*k + 19928 = d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -5*(sqrt(77) - (2*sqrt(77) + sqrt(77))))\/(-1*sqrt(35)\/sqrt(5)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g**2 - 3*g**2 - 2*g**2)*(2 - 5 - 3) - 53*g**2 - 296*g + 296*g + (4*g + 0*g - 3*g)*(4*g - 5*g + 3*g) in the form c*g**2 + n*g + t and give c.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -32*b**3 + 738 + 222 + 32*b - 228*b**2 - 12*b**3 = 0.\nAnswer: -4, -3, 20\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -81, -206, -381, -606, -881?\n\"Answer: -25*n**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.56 + -25. Let j = -133.21 - -134. Let y = q + j. What is y rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = k - 4*z, 5*k = 3*z + 4. Suppose 2*w + 5*y + 4 = 0, -y + 4 = 2*w + k*y. Calculate the highest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 40. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0. Let w = 626\/503 - 70085\/130277. Let j = 5\/37 - w. Which is the third biggest value? (a) -3\/2 (b) j (c) -0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwi when three letters picked without replacement from fnnxwei?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-56))\/(319869\/31592)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5\/7 + 26*r**4\/7 + 232*r**3\/7 + 382*r**2\/7 + 36*r\/7 - 144\/7 = 0.\nAnswer: -3, -2, -1, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 99. Let u be (4 - (-30)\/y) + 153\/12. Suppose -12*z + 35 + u = 0. Solve 4*b = 12 - z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.98 + -71. Let t = m + 0.02. Let o = 1 - 2. What is the closest to t in -0.5, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -14150.\nAnswer: -14149.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 75*n - 714 = -71*n. What is the lowest common multiple of 1473 and n?\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-1)\/100)\/((-65)\/(-10)*(-656)\/(-21320))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01836 and -0.5.\nAnswer: -0.00918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 4*p + 2*p + 2*p - 2*p + p + (-4 - 2 + 4)*(-4*p + 3*p + 2*p) - 11 + 28 + 3*p - 15 to the form a + k*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 u, and 1 r when four letters picked without replacement from {u: 1, v: 1, d: 1, r: 1, s: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616*z = 875*z + 26676 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 725*k - 11710. Give x(-17).\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2862541*g**2 + 6290620.\nAnswer: 5725082*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 128, 150, 186, 242, 324, 438?\n\"Answer: o**3 + o**2 + 12*o + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/164 or 89\/16?\nAnswer: 89\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 183 = -2*c, -4*o + 740 = -4*c. What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -4)\/(-5)*(2 - -77). Let j = z - -79. Suppose -3*r + 65 + 7 = j. Calculate the highest common factor of r and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -142 (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -2*b - 3*t, -39*b - 36*b + 75*b + 13*t + 61 + 86 = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17191752?\nAnswer: 2, 3, 61, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:16 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812746589124 - -0.44.\nAnswer: -812746589123.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*h + 255 - 290 = 0, 5 = -h. Solve -2*l + 12 = -4*i, 0 = -6*l + k*l - 3*i - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 34. Is d(9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (0 + 5 - (30 - (-8 + 50))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 2, h: 1}. Give prob of sequence dehe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -16 (c) -3 (d) 0.1 (e) -25\/6 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 7 + 3 + (-26 - (14 - 16))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27004.\nAnswer: 2, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 + 2. Let z(r) be the first derivative of r**4\/4 - 3*r**3 - 4*r + 15. Give 9*h(p) + 4*z(p).\nAnswer: 4*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 25548\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from sjtjstjjjjtssjt?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p + 4*w - 9, 0 = -3*p - 2*w + 24. Let g be (-32)\/p - (-1)\/5. What are the prime factors of (17 + g)*(-10)\/(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.252 - 0.022. Let z = 2.77 + w. Sort 1\/4, -4, z in decreasing order.\nAnswer: z, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r. Let n(b) = 54*b**2 + 45. Let v(w) = -w**2 - 1. Let m(t) = -n(t) - 45*v(t). Determine c(m(z)).\nAnswer: 117*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(17) + -5 - sqrt(17)) - (sqrt(51)\/sqrt(3) + -3 + -4).\nAnswer: -sqrt(17) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/39))\/((p*p**(-19))\/p))\/(p*((p**(-1\/11)\/p)\/p)\/p)**(3\/13) assuming p is positive.\nAnswer: p**(8765\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 67*o - 1019. Determine p(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(((-30)\/(-51))\/5). Let x(d) = -i + 7 + 3*d + 10. Let z(j) = -j - 1. Let p(h) = 3. Let k(q) = -2*p(q) - 6*z(q). Calculate x(k(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2695))\/(sqrt(245)*6 - sqrt(5)))**2.\nAnswer: 2156\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 38 + 142 = 0. Let n be (6*2\/8)\/(z\/80). Solve -u - 5*a = -25, n*a - 13 + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111677 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-1)\/24*10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3621899008 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 525280?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.54279 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.009, -9, -26, 0.5 in increasing order.\nAnswer: -26, -9, -0.009, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*x - 2159, 3*q + 605 = 5*x + 2760. Suppose a + 4*a - q = 0. Calculate the remainder when a is divided by 2*(-1)\/1*259\/(-14).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + q**2 - 18 - 13)*(-1 + q**2 + 1).\nAnswer: q**4 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3004101 + -130?\nAnswer: 3003421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 2. Let i be h(-9). Suppose 2*j = q - 0*j - i, -3*q - j = -79. What are the prime factors of (-8)\/q - (1614\/(-14) + 0)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/24 and (-4)\/(-46) - (-65962)\/32292.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -18*v + 49*v + 111 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -6\/5 (c) -2 (d) -5 (e) -2245 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n - 3. Let a be x(1). Let y be (a + -16)\/((-1)\/2) + 59. What is the highest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 3, i: 1}. Give prob of picking 3 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2482*m - 196624 + 30330 = 0 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**3 - 3*h**2 + 3*h + 3. Let v(x) be the first derivative of -2*x**4 + 2*x**3\/3 - x**2 - 2*x + 108. What is -2*t(u) - 3*v(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.54 (b) 0.6 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 8. Let k be q(-6). Let t = -1 + k. What are the prime factors of (t + -1)\/(8\/64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + -257805108.94.\nAnswer: -257805151.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 69\/96139 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**7\/14 - r**4\/4 + 2*r - 5. Let t(j) be the first derivative of u(j). What is the third derivative of t(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 332?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(10 - 13) - 429\/3300.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 + 4*z**2 - 290*z\/13 + 456\/13.\nAnswer: -2*(z - 19)*(z - 4)*(z - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*t + 105*t - 5181 + 1323 = -2183*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**3 - 3*y**2 + 7*y + 4. Let i be (15\/(-9))\/((-1)\/3). Suppose -28 = o - i*o. Let g(v) = -2*v**3 + v**2 - 3*v - 2. Calculate o*g(l) + 3*d(l).\nAnswer: -2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 2*d**2)*(-52 - 78*d + 152*d - 75*d).\nAnswer: d**3 + 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 4, l: 7}. What is prob of sequence eo?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1510 + -1504. Sort -0.4, -0.5, -5\/3, m in ascending order.\nAnswer: -5\/3, -0.5, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15385379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*z - 238 + 238.\nAnswer: 136*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14180*o**3 - 2 + 2 + 2894*o**3.\nAnswer: -11286*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52699, -52731, -52763, -52795, -52827?\nAnswer: -52859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145361?\nAnswer: 145361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + -0.92. Is t less than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 546998657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(343\/(-49))\/((-2)\/6*1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -995*p**3 - p**2 - 836*p.\nAnswer: -5970*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48275.3 rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 > -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*t + 51 = 540*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/b**(-1\/17))\/b)\/b**13)**(-22))**46 assuming b is positive.\nAnswer: b**(205436\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -80*r**3 + 3*r + 2. Calculate the remainder when y(-2) is divided by (3 - (-6 - (-1845)\/(-9)))*(-2)\/(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-5))\/((-16)\/(-40)). Let i(y) = y + 3. Let o be i(5). Let q = r - o. Is -4 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millennium in years?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59626*o - 59635*o - 4*m - 33 = 0, 3*o = -2*m - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 2*h**3\/3 + 4*h**2 + 6*h. Let u be r(-11). Let j = u + 62. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279934 * -0.017.\nAnswer: -4758.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3023*m = 3024*m + 8*k + 29, 12 = 2*m + 2*k for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 + -188 + 187.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141703087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4724a - 5?\nAnswer: 47245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 280\/120*(-15)\/(-105)*39\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -49, 78.355 in increasing order.\nAnswer: -49, 1\/5, 78.355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from {x: 1, z: 3, f: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 68306709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3300 = -69*w + 33*w - 184*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-14)\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.4 in 118, -3, -2\/45, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 23108\/3383 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*j + 0)*(4*j + j - 4*j) - 2*j + 2*j + 3*j**2 - 9*j**2 - 7*j**2 + 18*j**2)*(4 + j**3 - 4) - 5*j**5 - 3*j**5 + 2*j**5.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3787.31 * -4\nAnswer: 15149.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -7\/60*q**5 - 1\/3*q**3 + 0 + 32*q**2 + 1\/15*q**6 + 0*q + 1\/6*q**4. What is the remainder when h(2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(114))\/(sqrt(6) - -1*sqrt(6)*-5))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1010 + 654. Let x = 355 + p. Which is bigger: 240 or x?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 9*f = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11704 (base 10) to base 11.\nAnswer: -8880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7379*-0.07\nAnswer: 516.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 11*d**2 - 5*d - 20. Let y be m(-11). Let x(h) = 54 + 5*h**3 - 32 - y + 11*h**2. Let t(i) = -2*i**3 - 5*i**2 + 6. Calculate 13*t(c) + 6*x(c).\nAnswer: 4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11683 - 11683. Which is bigger: -17\/15 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 172*s**2 + 2076*s + 1449. Determine h(-159).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40708233?\nAnswer: 3, 4523137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -84, -1, -5, 2 in descending order.\nAnswer: 7, 2, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42003 is divided by 3313.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4600*f - 1494907. What is g(325)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(112) + (sqrt(7) + sqrt(7) + sqrt(560)\/sqrt(5))**2*5.\nAnswer: 4*sqrt(7) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 4 (c) -3 (d) -2\/307 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14856944*g**4 + 5266213 with respect to g.\nAnswer: 59427776*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Suppose 0 = -d + 3*q + 15, 0 = -3*d - 2*q - w*q + 3. Let t(n) = -3*n + d*n - 3*n + n - 3. Calculate t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 48*y - 3. Let w(f) = -14*f**2 - 128*f - 8. Let g(k) = 8*s(k) - 3*w(k). Let i(c) = -663*c. Calculate g(i(j)).\nAnswer: 879138*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -24. Solve f + 3 = q, 5*v = -3*f - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417 (base 9) in base 6?\nAnswer: -4541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -4c?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98183414 to the power of 1\/2, to the nearest integer?\nAnswer: 9909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 12:33 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**4\/3 + 121*p**3\/3 + 671*p**2\/3 + 1211*p\/3 + 98 = 0 for p.\nAnswer: -7, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*h*u**2 + h - 1709*u**2 wrt h.\nAnswer: 129*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8985.6, 6.6, -1\/6?\nAnswer: -8985.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1\/2*y**2 + 11\/2*y + 195 = 0.\nAnswer: -15, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72307 or -74093?\nAnswer: -72307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352403154?\nAnswer: 2, 23, 827, 61837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -523*d**2. Let v(b) = 33640 - 33640 + 2*b. Give v(g(i)).\nAnswer: -1046*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 2 + 7 - 3 as i*v**2 + q*v + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 94, 3, -17, 57614, 0.\nAnswer: -17, 0, 1, 3, 94, 57614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + 2*l - 1. Let t be c(1). Let p be 2 - t\/(15\/6). Suppose i - p*i = -66. Calculate the least common multiple of i and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506140695.9999933 - -506140638. Let q = -58 - o. What is q rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146404603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*z**2 + 14*z + 8 + 97*z**2 - 14*z - 2*z**3.\nAnswer: -2*z**3 + 184*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.026 - 0.0225. Round x to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 7. Let q = 0 + 8. Let f be n(q). Does 3 divide 308\/f + (-2)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1353, 1809, 2257?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3615175 or -3615176?\nAnswer: -3615176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3175681.\nAnswer: 151, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26150172, -26150173, -26150174, -26150175?\nAnswer: -26150176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3870 - 2788. List the prime factors of v.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112498?\nAnswer: 2, 56249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(931) + -3) + (sqrt(931) - -4*sqrt(931)*-1) + -2*3*(sqrt(931) + 0) + 4)*-1)**2.\nAnswer: -3724*sqrt(19) + 182837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -86\/7, 0.1, 5, -1\/9 in increasing order.\nAnswer: -86\/7, -1\/9, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/80132 and 137\/480792.\nAnswer: 480792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f + 32. Calculate x(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(-4 + 0 + 1) + 42 - 55 - 26)*(6*j - 5*j + 3*j).\nAnswer: -132*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-532)\/24)*70\/165\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 19. Let s(z) = 24*z + 1081. Calculate the smallest common multiple of f and s(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 1, f: 11}. Give prob of picking 2 f.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 - 2*w**2 + 2*w - 1. Let b(j) be the first derivative of j**3\/3 - 2*j**2 + j - 1. Let m = 0 - -4. Let i be b(m). Determine q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.96, 1\/5, -2, -0.3, -33 in increasing order.\nAnswer: -33, -2, -0.5, -0.3, 1\/5, 1.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/4 + 9\/(-12). Suppose l = -k*d - l + 20, 5*d + 4*l = 45. Suppose d = 6*g + 5. Is -49 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 2) + (14 - 30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 3)*(-47 + 47 - h) to d + b*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15131975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -1.81859 (c) 0.2 (d) 6 (e) 4 (f) -30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*l = 2, -3*l + l + 145 = 5*m. Let a = m - 17. Suppose -a = -4*d - 5*h, -4*h = -2*d + 4*d - 8. Solve d = -0*x + 5*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheyayaaeay. Give prob of picking 1 y and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*i = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 + 315 = 5*n. Let q = n + -53. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:32 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 3*m - 6. Let f be s(-5). Let n(l) = -l**2 - 4 + 3 + 1 - f + 6*l. Let b be n(10). What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7081805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 2 + (-36 - ((-19 - -1) + -6)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 4*v - 3 + 2\/3*v**3 + 2*v**2 - 1\/3*v**4 - 1\/5*v**5. Solve s(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90656013 is divided by 22663986?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 5*i + 0*i + (-2 + 2 + 2*i)*(2 + 3 + 1))*(i**2 - i - 2*i**3 + i).\nAnswer: -22*i**4 + 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + o + 1, -5*o + o = -3*p + 25. Let b(a) = -406*a - 11. Let i(w) = -w - 1. Let n(f) = -b(f) + 4*i(f). Is n(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 22 = -s, 0 = -o + s - 6. Let c = o + 6. Let t(w) = -17*w + 109. Let f be t(6). Put c, 4, f in decreasing order.\nAnswer: f, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nhhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 + -3.804\nAnswer: 3.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 12, -79 in decreasing order.\nAnswer: 12, -1, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6*208\/(-24) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 210*t - 2706. Let d(v) = v**2 - 211*v + 2707. Let b(u) = 2*d(u) + 3*m(u). Find c such that b(c) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0388694 centuries to months.\nAnswer: 46.64328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -450.08 - -9.08. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) - (-492)\/27. Suppose 0 = -4*y - 4*k + 640, -y - p = -5*k - 166. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289043367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2. Let p(y) be the third derivative of 3*y + 0*y**3 + 0 + y**2 + 19\/12*y**4. Give r(p(m)).\nAnswer: -4332*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27\/5*j**2 + 21\/5 + 3\/5*j**3 + 9*j = 0. Calculate j.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 + 205 = 0. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5\/2*(-6 - -8) and 11 - -1*(-2 + 2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3129, -6255, -9381, -12507, -15633, -18759?\nAnswer: -21885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -641811, -1283759, -1925709, -2567661, -3209615?\nAnswer: -3851571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 + 7*w + 10. Let t be p(8). Let y = -22 + -51. Let h be y\/(-5) - 8\/(-20). Solve b - h = -t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 + 2 - n**3 + n - 2*n**2 - 1 + 0. Let y be q(5). Let d be (-378010)\/(-60) - 1\/y. Round d to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v + 3. Let y = -16 + 10. Let l(a) = -26*a + 8. Let j(n) = y*l(n) + 17*m(n). Find the first derivative of j(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11186*l**3*m + 3*l**3*s + 189*l**3 - l**2*m*s - 2025*l**2*s**2 - 3*l - 32*m*s**2 - s**2 wrt m?\nAnswer: -11186*l**3 - l**2*s - 32*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288580.0084 + -288633. Let f = v - -53. Round f to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 9. Let w be k(-4). Let q be w\/(-1 - 0) + 7. Solve 5*f - 5*z + 5 = 0, f = -2*z + 7 + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*z + 2*n*z**3 + 241*n*z**2 + 2*z**3 - 189 wrt n.\nAnswer: -2*n*z + 2*z**3 + 241*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (176\/(-220))\/(-6*(-1)\/165)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11864005 divided by 2372801\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98749573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -156b00c (base 13) to base 8\nAnswer: -32173143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -20*p + 38. Solve -2 + 25*g**2 - 27 + g**3 - p + g**3 + 20*g + g**2 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 6. Let i(z) = 6*z - 29. Let s(o) = 2*i(o) + 11*q(o). Calculate the lowest common multiple of 108 and s(2).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 560*f - 5*f**4 + 27*f**2 + 27*f**2 + 127*f**2 + 64*f**2 - 45*f**2.\nAnswer: -5*f*(f - 7)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 194035010 = -0*j. Suppose 0*s - 5*s + 20964990 = 0. Suppose -j = 5*z + s. What is z rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312228 - 147001. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 12*g**2 + 3*g - 4. Calculate the remainder when r(12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 118 = -13. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 14*q**2 + 5*q + 3. Let o(r) = 5*r**3 + 27*r**2 - 10*r - 7. Let m(a) = 7*g(a) + 4*o(a). What are the prime factors of m(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*a - 97. What is the biggest value in a, 5, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, 5, 0.4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/7 (b) 4 (c) -1\/2 (d) 0.012 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 + 145. Let q(g) = -128*g + 46. What is the tens digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - v + 7*v)*(7 - 1 - 16) - 332*v + 190*v + 162*v.\nAnswer: -20*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, -11.\nAnswer: -11, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -7*o + 260. Let z be o\/1 - (17 - 13). Find the first derivative of -z*m + 134*m + 3 + 2 - 4 wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -129. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**3 - 8*a**2 + 5. Let x(s) = -14*s**3 - 23*s**2 + 14. Suppose -4*h - 3*m - 65 = 0, -5*h = -2*m + 3*m + 84. Give h*b(i) + 6*x(i).\nAnswer: i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 8 - t + 6 - 6*t**2 + 13 - 5*t**4 to the form q*t + a + y*t**2 + p*t**4 + f*t**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -p + 5, 4*p = 2*v + 10 + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 37*k - 143. Let t be f(-13). What is the second biggest value in -2, 12\/11, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let w(q) = 2*q**3 - 2*q**2 - 2*q - 1. Let k be w(c). Let v = k + 6. Solve v = 5*b + 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 511\/37011*2\/(-7). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/2 - 535*z**3 - 2133*z**2\/2 + 1602*z = 0.\nAnswer: -1068, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uut when three letters picked without replacement from aaaaautttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1448.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyu when three letters picked without replacement from meecynnunmceeyn?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 153, 154, 155?\n\"Answer: y + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k - 8*k + 32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -16 - (9 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.0750944?\nAnswer: -0.375472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -210\/151?\nAnswer: -210\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -908 + 913. Let t(x) = -x - 3. Let p be t(-3). Let b = p - -1. Sort d, b, -5, -3 in decreasing order.\nAnswer: d, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = -30. Let d be i\/8 + 8\/(-32). Let r(g) = g**3 + 3*g**2 - 2*g + 1. What is r(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 49 = -4*y - 5*l, 0 = 2*y - 4*l - 32. What is the greatest common divisor of y and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 749480 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 476357 + 20?\nAnswer: 476377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 6*i**4 - 4*i**4 - i**4 + 0*i + 0*i + (i + 2*i - i)*(2*i**3 - 2*i**3 + 2*i**3) - 4*i**3 + 3*i**4 + 4*i**3.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17420376566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -533, -792, -1051?\n\"Answer: -259*t - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 1 - 7*u**2 + u + 0*u**2. Determine c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (sqrt(567) - sqrt(63))*1.\nAnswer: 6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 4.01 (b) 6\/11 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*a = -243 + 69, 0 = -4*w + a + 147. Suppose 0 = -5*c + w + 9. Let h = -4 + c. Sort h, -0.6, 0.3.\nAnswer: -0.6, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 15. Let k be v(10). What is the highest common divisor of k and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 4. Let r be j(-2). Let h be (1 - 1) + (-32)\/r. Suppose -2*f + 0*f = -2*l + 1464, 1494 = 2*l + h*f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(4 + (-1*sqrt(1584))**2 + 5).\nAnswer: -19116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let t(g) = 0 + 6*g - 5*g + 7. Let h be t(7). Let x(k) = -h + 3*k**2 - 7 + 21. Give x(w(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/5)*z)\/(z*z**(2\/3)*z))\/(z*(z*z**(1\/18))\/z*z**(-9)*z) assuming z is positive.\nAnswer: z**(619\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 116*b**2\/3 + 80*b + 3456.\nAnswer: 2*(b - 54)*(b - 12)*(b + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0623 + -0.0123. Let d = 4 + -3.9. Let o = 0.1 + d. What is the closest to 2 in w, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(1\/12). Let q = k + 11. Suppose -4*o = 2*o - 198. Calculate the remainder when o is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 44 - 56. Suppose q = -3*g + 5*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 439 + 4505. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3602, 7195, 10762, 14291, 17770, 21187?\n\"Answer: -2*a**3 - a**2 + 3610*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 7*w**2 + 7*w + 11. Is s(8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*l, -2*c - l = c + 172. Let j = -38 - c. Suppose -r + 6 = -24. Calculate the remainder when r is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/129, -0.5, -4 in decreasing order.\nAnswer: 2, 2\/129, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18721457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0*q - q + (0*q - 3*q + q - 2*q - 2*q + 5*q + (1 + 2*q - 1)*(2 - 2 - 1) + 1 - 2*q - 1 + 0*q - 3*q + 2*q)*(6 - 4 - 1).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 5}. What is prob of picking 2 d and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**28\/b)\/b))\/b*b*b**(2\/17)*(b**15*b)**(5\/6))**(-12) assuming b is positive.\nAnswer: b**(2560\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 32 + 38 = 0. Let o be 1 + 0 - (891 + l + 4). What is o rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 4, -4*z = 3*c - 128. Solve 6*h + z = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1.43\nAnswer: 6.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) + 26\/182.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 - 21*z**3\/4 + 33*z**2\/4 + 1001*z\/4 - 507\/2.\nAnswer: (z - 13)**2*(z - 1)*(z + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s**4 assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -613*b**3 + 0 + 2 - b + 614*b**3 - 5*b**4 + (-2*b**3 + 2*b**3 + b**3)*(-3*b + 5*b - 3*b) - 2*b**4 - 5*b**4 + 4*b**4.\nAnswer: -9*b**4 + b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*2*(sqrt(119) - 1*sqrt(119)))\/((sqrt(4536) + sqrt(4536)*-2 + sqrt(4536) - sqrt(56))\/(sqrt(16)\/(sqrt(2)*-2 - sqrt(2))))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 + 0*q**2 + (0 + 0 - 6*q)*(q + 2 - 2).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22\/15 + -13\/10. Which is the third smallest value? (a) g (b) 0 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/416*(-1)\/2. Let n = b - 2117\/520. Calculate the common denominator of (-3)\/20*2 + -2 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74168.933 to the nearest one hundred.\nAnswer: -74200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1344964 + -160052169\/119. Let s = z - -83\/7. Put s, -0.5, -1\/4 in descending order.\nAnswer: -1\/4, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114\/7 - 16. Suppose i = -43 + 38. Which is the closest to i? (a) 0 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/3 greater than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*435\/609?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + f**3 + 3*f - 8*f**3 - 5*f.\nAnswer: -6*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01204 to four decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 - 4*r**2 + 2. Let v(u) = -2*u**3 - u**2 + 1. Let w = 77 - 82. Let i be (97 - 95) + (1 - 0) + w. Calculate i*a(h) + 7*v(h).\nAnswer: -2*h**3 + h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*o - 1911, 0*d = -3*d - 9. What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5072 greater than -5072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from jgjjgjjg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - 5 - ((-1 - -19) + -29))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6807715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 1156693.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/294 and -103\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1416*k**2 + 51*k + 7 wrt k.\nAnswer: -2832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*k + 31, k + 5*q - 45 = -4*k. Suppose -6 = -3*n, -1 = -4*z - n + 5. Suppose 12*y - 8 = 10*y. Solve 2*c + k = -2*a, c + z = y*c - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2, 32 in ascending order.\nAnswer: -1, 2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**5 - 3*b**5 + 10*b - 8*b**5 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32457*c**5 + 35150*c**2.\nAnswer: 1947420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(171) - (sqrt(171) + (sqrt(171) - -1*sqrt(171)))*-4)\/(sqrt(225) - sqrt(225)*-1) + -6*((-2*sqrt(171))**2 + -1)).\nAnswer: -8196 + 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = -u. Suppose -u*j = 2*j - 8. Suppose 3*p - 3*c - 34 = p, 3*c = -j*p + 46. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -47, 0.07 in decreasing order.\nAnswer: 0.07, -0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (553\/(-48) + 684\/3648)*6\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c + 6*c. Let p(i) = 16*i**2 + 0*i + 2*i - i**3 - 22*i**c. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.85767l to millilitres.\nAnswer: 74857.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -21805135*r**2\/4 - 10902567*r\/2 + 1\/4 = 0. What is r?\nAnswer: -1, 1\/21805135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/(-246)*927\/(-3). Solve k*g - 95*g = -40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -68\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 - l + 1. Let s(j) = 102*j**3 + 34*j**2 - 34*j + 34. What is -34*f(y) + s(y)?\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25c4 (base 13) to base 16.\nAnswer: -1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123961190.\nAnswer: 2, 5, 12396119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2 + 346*p**3 - 1943*p**3.\nAnswer: -1597*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 12. Let l be g(-10). Let f be 16\/(-6)*(7\/49 - (-16)\/672). Suppose 0 = 2*x - 2 + 6. Which is the nearest to 2? (a) f (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n**16)))\/n)\/n*n**(-1\/14)*n**(1\/12)*n**16 assuming n is positive.\nAnswer: n**(2689\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.81 tonnes in nanograms?\nAnswer: 460810000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let h be w(0). Let n be 4\/(-1 + 2\/h). What is the units digit of (-1)\/(-4) - (-23)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-12))\/((-2)\/(-8)). Let h be 1\/k*(5 + -1). Factor -j**2 + 7*j**2 - 3*j - 6*j**5 + 7*j**5 - 6*j**4 + h*j**5.\nAnswer: 3*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*t - 165 + 209 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 446659 and 1143.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 4. Let g = -4668 + 4667.1. Put -1\/2, g, -0.4, l in decreasing order.\nAnswer: -0.4, -1\/2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgge when four letters picked without replacement from iiiiejgiiijiieeigiei?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75896*f**2*p**2 + 60*f**2*p + 2*f**2 - f*p**2 + 4*f + 48*p**2 + 11520*p wrt p.\nAnswer: -151792*f**2 - 2*f + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 4*t - 2*t)*(-1813 - 996 + 1887) as k + a*t and give a.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**5 + 11*f**2 + f + 3*f**2 + 9*f - 45*f**2 + 34 - 2*f**5 wrt f?\nAnswer: 40*f**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)*t)\/t*t**(-8)*t)\/(t**4\/t*t**(-4)\/t)*t**(-1\/4)\/((t**(-1\/9)\/t)\/t)*(t\/(t\/((t\/(t*t**0\/t*t*t))\/t*t)))\/(t**(-5)\/t*t) assuming t is positive.\nAnswer: t**(-221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 1:38 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15*h + 6. Let w(p) = -28*p - 13. What is 5*c(i) + 2*w(i)?\nAnswer: 19*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10261 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {u: 4, m: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -3*b**2 + 1\/20*b**5 + 0*b - 1\/6*b**4 + 0 + 1\/120*b**6 - 1\/3*b**3. What are the prime factors of x(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 102 - 102.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -3*2*sqrt(156))\/(-2*sqrt(972)) - (((sqrt(13) - (sqrt(13) - (sqrt(13) + sqrt(117)))**2 - sqrt(13)) + -4 - (sqrt(208) + 0)**2) + -2).\nAnswer: 5*sqrt(13)\/18 + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -4*q. Suppose -q*y - 4 = -4*y. Which is the second smallest value? (a) y (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-56))\/(21\/49)*(-420)\/(-200)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or 8\/13?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1814 - 0.28\nAnswer: -1814.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 2 = -3*n. Let v be n\/3 + (2 - -4). Find p such that p**2 + 17*p - 12 - 8*p - 16*p**2 + 3*p**v + 15*p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 205 - 131 = 0. Is (j\/(-60))\/(1\/785) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233.01 + -233. Let q = -75 + 149\/2. Sort v, q, 0.4, 1 in ascending order.\nAnswer: q, v, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 3*a, -3*a - 4*z - 13 = 2*a. Let p be (-27)\/(-18)*(3 - 1). Let s(l) = 1 - 6*l + 7*l + 3*l**3 + 3*l**3 - 5*l**p. Calculate s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 5*z + 3*z - 23*z + z**2 - 4 + 7*z in the form x + f*z + c*z**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 37 + 53 = 0. Suppose 3*x - p = -0*x - z, 0 = x - p + 13. Let t be 4\/x - 7\/20. Which is the biggest value? (a) -2 (b) 3\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:31 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let y(z) = -5*z**2 - 4*z + 4. Let k(s) = -6*s**2 - 5*s + 5. Let m(f) = -4*k(f) + 5*y(f). Give m(w(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 134 - 14 = -186 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7213015 weeks to nanoseconds.\nAnswer: 436243147200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*b + 47*b + 307*b**2 + (-3 + 3 + 8*b)*(-b + 4*b - 7*b) - b**2 + 3*b - 3*b to i + c*b**2 + o*b and give c.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -23*a - 17. Let d(f) = -3*f + 3*f - 6 - 6*f - 2*f. Let u(r) = 7*d(r) - 2*l(r). Calculate the remainder when u(-4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/249 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 169, 361, 713, 1279, 2113, 3269, 4801?\n\"Answer: 9*f**3 - f**2 + 26*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101010011111111 (base 2) to base 3\nAnswer: -1002211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -259222?\nAnswer: -3\/259222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 5. Let z be 0\/1 + t + -1. Let g(x) = -9*x. Calculate g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 3:54 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20313048 and 2313.\nAnswer: 15661360008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 2011*t**7\/210 - 167*t**5\/12 + 58*t**2. What is the third derivative of c(o) wrt o?\nAnswer: 48264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = f - 4*j, 5*f = 3*j - 75. Let q = 47 + -123. Let w = -76 - q. What is the third biggest value in 2, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:45 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1284.181 and 0.4.\nAnswer: 513.6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25413 is divided by 3583.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12) + (sqrt(432)*2 - sqrt(432)))\/((sqrt(96)\/sqrt(3))\/sqrt(8)) + 1.\nAnswer: 5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 2 = 158. Let z(b) be the first derivative of -b**3\/3 + 15*b**2\/2 - 14*b - 38. Give z(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 6. Let w be 26\/6 - (-12)\/18. Suppose 0 = 2*h + i - 9, -2*i - 11 = -2*h - w. Calculate a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = m. Let o(v) = -2*v + 2. Let q be o(-10). Suppose -m*r = -q - 6. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 33.50892 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:22 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlllzllzzzzll. What is prob of picking 1 z and 3 l?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**4 - 5*v**2 + 51*v - 52. Let z(i) = -5*i**4 + 4*i**2 - 50*i + 53. Let h = -226 - -231. Let p(f) = h*z(f) + 4*g(f). Differentiate p(j) wrt j.\nAnswer: -4*j**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/24 + 162*o**2. Let z(v) = -3*v**2 - 15*v. Calculate z(m(k)).\nAnswer: -3*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 349*j**2 + 8008*j + 141. Determine c(-23).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(3\/(-135))\/((-66)\/(-198))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*v + 1)*(-2*v**2 + 4*v**2 - 4*v**2) + (4*v - 4*v - v)*(-1270*v + 1270*v + 138*v**2) to the form f*v**3 + b*v + i + s*v**2 and give f.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 2363245?\nAnswer: -2363241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*x + 3. Let b(h) = -2*h**3 - 4*h**2 - h - 1. Let z(o) = -o**3 - o**2. Let d(s) = x*z(s) + b(s). Let p be d(-1). Which is greater: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010221 - -10?\nAnswer: -1010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10642 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 955275837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1147 or -1108?\nAnswer: -1\/1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 12*q**2 - q - 8. Let j be u(-12). Suppose 2*v + 8 = j*v. Let w be (4 - (-1)\/1)\/v. Is -1\/2 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110011110220 (base 3) to base 6.\nAnswer: -43525210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 - 5*z + 2. Let r(m) = m**2 - m + 1. Determine -2*r(s) + x(s).\nAnswer: -s**3 + s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-84)*7*(-1)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0087311 kilometers to millimeters.\nAnswer: 8731.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 = 10*l - 254. Let g be ((-392)\/35 - -10)\/(2\/l). What is the greatest common factor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165189 divided by -9717?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31312988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixuouxog. What is prob of picking 2 o, 1 u, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/33)*(j\/(j\/(j\/j**(2\/33))))\/j)**(-20\/11)*(((j\/(j*j\/(j\/j**(3\/2))))\/j*j)\/j**10)**(-1\/16) assuming j is positive.\nAnswer: j**(23\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -0.1 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270976 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 first derivative of 7296*c*d - 4*c + 20*d + 698787 wrt d?\nAnswer: 7296*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 950304*w**2 - 9503151*w + 10453454.\nAnswer: (w - 950314)*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000218 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024 is divided by 1846.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -270*g + 91*g + 1611. Let v(f) be the first derivative of 4\/5*f**5 + 2*f**4 - 20*f - 16*f**3 - g + 28*f**2. Suppose v(k) = 0. What is k?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -35. What is the nearest to 2\/3 in 0.4, 1\/4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.26627 rounded to the nearest integer?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 5. Let w(d) = 2*d - 6 - z*d - 4*d + d. Calculate the remainder when w(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(0 + 2\/4). Let o = 3 + -3.2. Put o, f, 2\/3 in ascending order.\nAnswer: o, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -21*p**2 - 3*p + 5. Let n(t) = -10*t**2 - t + 2. Let w(a) = 5*n(a) - 2*r(a). What is the second derivative of w(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 6*r**2 - 4. Let u be t(-6). Let a(l) = l**3 + 3*l**2 - 4*l - 3. Let p be a(u). What are the prime factors of 6 + ((-9)\/p - 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-1)\/(-8)). Suppose -5*a = 20, -p + 0*p - 5*a + v = 0. What is the greatest common divisor of p and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*t**4*w - 474987*t**4 - 2*t**3*w - 75*t**2*w + 3106*t*w + 24*t wrt t?\nAnswer: 2112*t*w - 11399688*t - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -754, -1496, -2726, -4438, -6626, -9284, -12406?\n\"Answer: q**3 - 250*q**2 + q - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -196416394.9 rounded to the nearest 10000?\nAnswer: -196420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 2 = -31*p - 2*k, -4*k = 5*p + 9. What is the fourth biggest value in p, -0.09, 2, 0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311162, 311177, 311204, 311249, 311318, 311417, 311552?\nAnswer: 311729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594964527 and 657.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 - -0.14?\nAnswer: -310.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(-105*x - 6*x + x) - x - 2 + 2)*(-x**2 - 8*x**2 + 4*x**2).\nAnswer: 555*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h + 2. Let k be b(1). Suppose 5*x + 3*o - 8 = k, 3*o - 6 = 0. Sort 1, x, 0 in decreasing order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 38*y + 308 = 25*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 + 0.214. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-105))\/(108\/294)*351\/1638\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*z**4 - 4*z**3 - 2*z**2 + 3809*z + 2 wrt z.\nAnswer: -804*z**2 - 24*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -28*a**3 - 2*a**2 + 3*a + 19. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3655*j + 3712*j + 798 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 35 = -122. Let g = -21 + f. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 35, 30 in ascending order.\nAnswer: -58, 30, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:44 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -1)*(-321)\/(-12). Let y = 113 - v. Solve -y*m = -m + 3*i + 1, -2*m + 2 = 2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*f = n + 14, 0 = -2*n + f + 11. Let h = n + 3. Solve v - 4*v = 0, -2*z + h = 5*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.7 * -1396\nAnswer: 13541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8184937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 g when four letters picked without replacement from {g: 8, s: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -15\/4, -1902\/13 in increasing order.\nAnswer: -1902\/13, -15\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 5*f - 3*f - f + 7*f**2 + 17*f + f**3 + 7. Suppose 4*k + 22 - 2 = 0. Give g(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -5*z, 0 = -5*z - 2*o + 2 + 9. Suppose -7*h = -6*h + z. Let s(b) = -3*b - 1. What is the remainder when 3 is divided by s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -28*h - 2. Let i(k) = k**3 - 5*k**2 - k + 4. Let f be i(5). What are the prime factors of x(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: (-1*(-2)\/(-56))\/((-67)\/268)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 + 171. Which is the nearest to p? (a) 2\/7 (b) 2\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:48 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 20, 0 = 2*t - k + 33. Let w = -4 - t. Let p be 2\/(-8) + w\/(-36). Is p at least as big as -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 8*a**2 - 2*a + 5. Let k be p(4). Let z be (-5)\/(1 + -3 + k). Put z, 80, 3, -2 in descending order.\nAnswer: 80, 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -471000 rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -239.\nAnswer: 95.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-7)\/(-252) + (360\/(-32))\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 12*t**2 + t + 12. Let q(r) = -r + 4. Let u be q(16). Let i be 0\/(2 - -3) + u. Let l be v(i). Solve -4*j + 2*j = l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43932 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, -3\/2, 0.5, -14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 930623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 93\/7. Suppose -2*w + 2*x - 4 = -0*w, -4*w + x - 2 = 0. Let m = -1.3 + 0.3. What is the smallest value in m, w, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-19 - -28 - 23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*48*12\/18. Let x = m + 240. What is the lowest common multiple of x and 88?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -4\/15, 20\/9 in ascending order.\nAnswer: -30, -4\/15, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-10))\/((-44)\/20). Do g and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92528, 185063, 277598, 370133, 462668?\nAnswer: 555203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 332 = 0. Is (-4)\/(-2)*g\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i - 38. Let o = -4 - i. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*j, 4*y + 5 = -j - 12. Sort j, 1, 2, 6 in descending order.\nAnswer: 6, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (45 - (58 - 47))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 7*k**3\/3 + 6. Let x(q) = -q. Give x(i(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -16\/9 in increasing order.\nAnswer: -3, -16\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 4 = 32*n. Let r(s) be the second derivative of 3*s - 1\/5*s**5 - 1\/30*s**6 - 1\/2*s**4 - 1\/2*s**n - 2\/3*s**3 + 0. Factor r(a).\nAnswer: -(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -8. Let q(v) = v**3 + 6*v**2 + v + 7. Let r be q(p). Let o = -35 - r. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*1 + (-374)\/(-77) and -2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017807128 to six decimal places.\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -x + 3*k, -2*k = x + 2*k - 22. Suppose -h + x = -8. Suppose h*s + 0 = 10. What is the biggest value in -1\/7, s, -0.02?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrnzvrbb. What is prob of sequence brz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 > 272.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 990273 - 707055053\/714. Find the common denominator of x and -143\/420.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -101*h**3 + h**2 - h - 1. Let g be f(-1). Suppose g - 1618 = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2. Let t be 3 - ((-1 - -3) + -3). Let u be (3\/5)\/(t\/(-20)). Calculate j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401265 divided by -6.\nAnswer: -133755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -36860.\nAnswer: -7\/3686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 - 12*t - 31. Let o(q) = 21*q**2 + 22*q + 59. Calculate -11*a(l) - 6*o(l).\nAnswer: -16*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -33\/2*m**2 + 0*m**3 + 0 - 13\/5*m**6 + 0*m**4 + 0*m**5 + 39*m. Find the first derivative of z(r) wrt r.\nAnswer: -312*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87423, 80395, 73367, 66339, 59311?\n\"Answer: -7028*v + 94451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 548640*x + 7132996.\nAnswer: -4*(x - 13)*(x + 137173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1248, -1237, -1212, -1167, -1096, -993?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 9. Let a(w) = -5 + i + 1 + 3*w - 4. What is the units digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 101.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, q: 6}. What is prob of picking 2 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*p + 5 = p, 5*r = -2*p + 13. Solve 5*n - r*n = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 42) + (0 - (-2 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7068702.71 to the nearest 1000.\nAnswer: -7069000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50824*s**4*u - s**4 + 14*s**3*u + 16*s**2*u - 13*s*u + 28*u - 42 wrt s?\nAnswer: 1219776*s*u - 24*s + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-11885)\/(-152128)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2068 and -21\/44?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 59 = -3*j, -j - 3*j + 5*g + 74 = 0. Which is the biggest value? (a) 0.2 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 437. What are the prime factors of o\/3 + (-5)\/(-60)*-4?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*z, 4*z + 4*s - 13 = 9*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1494735 and 67\/1089.\nAnswer: 49326255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28*q**2 + 5*q. Let r(y) = 13*y**2 - 2*y. Let w(b) = 2*d(b) + 5*r(b). Let n(k) = -3*k**2. Give w(n(a)).\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406250000 rounded to the nearest one million?\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from bbesbbsebeeepsbepbb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = u + 4*n, 4*u - 5*n - 1020 - 160 = 0. Suppose 4*y + 7 - 19 = 0, -5*x - 5*y + u = 0. What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 5 (c) -113 (d) -4\/7 (e) -1.49 (f) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - 15) + (-86 - -2 - -94)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53400 divided by -18.\nAnswer: 8900\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u. Let t be y(-7). Let b be t*((-12)\/(-20) - (-6)\/15). Solve -3*c - l + b = -11, 3 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/(-1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/13 (b) 1 (c) -4 (d) 1\/130 (e) -2\/3 (f) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12296 and 22896?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 2*n**2 - 283 - 199 - 147.\nAnswer: -2*n**2 - 727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*j + 13, 8 = w + 108*j - 107*j. Let n(a) = -a**2 + 2*a - 2. Let k be n(3). What is the second smallest value in 0, w, k, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209952, 209943, 209928, 209907, 209880, 209847, 209808?\n\"Answer: -3*l**2 + 209955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19615*d - 57 - 13*d**3 + 19603*d + 20 + d**2. Does 19 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -395*d*j**3*n - 2*d*j**2*n**3 + 14*d*j**2*n - 9*d*j*n**2 - 3*j**3*n**3 wrt j.\nAnswer: -2370*d*n - 18*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2159 divided by -13024?\nAnswer: 2159\/13024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**3 - 11*x**3 + 8*x**4 + 0*x - 2*x**4 + 0*x + 3*x**2 - 3*x**2 + 2*x**4 + (1 - 1 - 2*x**3)*(-3 - x + 3) - x**4 - 2*x**4 + 5*x**4.\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + s = 2, 3*a = 2*a - 5*s - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19406?\nAnswer: 2, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*r + 2943, p - 370 = -r + 365. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -225\/1117 - 172943\/134040. Calculate the common denominator of -109\/14 and d.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 40 - 128 = 0. Suppose 20*b + 79 + 1 = 0. Sort l, 1, b in ascending order.\nAnswer: l, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10492 + 4392. What is d rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(20\/7)\/l*l\/(l*l**(-1\/5)))\/(l**(-1\/18))**21)**(-3\/31) assuming l is positive.\nAnswer: l**(-677\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5238 divided by 27.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxzz when four letters picked without replacement from {z: 2, v: 4, x: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-3 + 2) - (-1 - 98) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9 + 131*t**2 - 2124*t - 138*t**2 + 2122*t + t**3. What is d(8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g**2 - 54*g + 19. Give z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 + 4*n + 5. What are the prime factors of x(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmyfhfmyyyefjmmyfjyy. What is prob of picking 1 f, 1 h, and 2 m?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0*(-5)\/(-75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(154)\/(sqrt(21)\/sqrt(3)))\/sqrt(11))**2*5 - (((sqrt(20) - sqrt(80))\/sqrt(10))**2 + (-3*-3*sqrt(2) - sqrt(2)))) + 1.\nAnswer: -8*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -6169369?\nAnswer: 1295567.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3275029 rounded to the nearest ten thousand?\nAnswer: -3280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.136 times 0.0639\nAnswer: 0.0086904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 - 516*r**4 - 16496*r**3 - 15984*r**2 = 0. Calculate r.\nAnswer: -74, -54, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4002*o + 253. Let a(b) = -95*b - 6. Let h(g) = -253*a(g) - 6*t(g). Let r(f) = 32*f. Determine r(h(w)).\nAnswer: 736*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 546 = 1148. Is w a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:24 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-17 + 7) - 0) + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 25. Solve 2*l = 2*v + r, -4*v - l - 16 + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by -1.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2771370 + 8637786. Let h = 12516416 - d. What is h rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3009 + 4228. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 11*g**2 - 11*g - 2. Calculate f(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 11*x + 14*x)*(0 + 0 + 2*x**2) - 11*x**3 + 13*x**3 - 7*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2311 is divided by 329.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 0.1 (b) -4 (c) 4\/21 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/40 - (-117)\/24. Suppose 17*c + g = 15*c + 1057, a*c + 3*g - 2640 = 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4085 and -0.5.\nAnswer: 4084.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 6*i - 53. Let w be m(11). Solve -w*f = 5*y + 25, 0*f - 29 = 4*f + 3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001116793 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -998 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217047 (base 12) to base 10.\nAnswer: -530551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 25 = 2*q. Let z be (-28)\/q + 3\/15. Suppose 0 = -z*c + 15, 0 = 3*d + c + 15207 + 8488. Round d to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 3*v + 4 - 5 + (v + v + 0*v)*(0 + 2 - 1)*(-315 - 371 + 779) to g*v + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4697 - -4627 - (-1 + -9 + 0)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11.87. Let v = 1.87 - o. Suppose 5*a = 3*y + 12, 0*a - a - 5*y = 20. What is the closest to 0.1 in a, v, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 89 = -695. Let q = 15 - 72. Let b = l + q. Calculate the remainder when b is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/17, 12, -17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:08 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1320 and 3795.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 194.\nAnswer: -15, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*f + 7122, 5*z - 249 = -f + 1526. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 - 4 - (-2 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(-2 + 6 + 0) + 1 + 0 - 3 + 2 + 0 - 1)*(-3*s**2 - 3*s**2 + 4*s**2) to the form d*s**2 + j + x*s and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 2487215178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 20*d - 36. Let s be q(-18). Solve 6 = 2*b, s*a = -3*a + 4*b - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 1\/12, 3, -2, -0.08286?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (-5 + (sqrt(162) - (sqrt(162) + 1 + sqrt(162) + -3) - sqrt(162)))**2 - ((-5 + sqrt(162)*-2)*-1*6)**2).\nAnswer: -23579 - 6372*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 - 3*z**2 + 3*z**2)*(-3 + 1 - 2) - z**3 - 8*z**3 - 3*z**3 - 2*z**3 + 4*z**3 - 1 - 14 to l*z**2 + k + g*z + v*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46812939 and 132765.\nAnswer: 234064695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**3\/3 - 5*i**2\/2 + 3*i + 1. Suppose -b - 4*l + 4 = 0, 6*b - 2*b + 3*l = 3. Suppose -3*v + v + 6 = b. Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -24.8874\nAnswer: 7.46622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = b - 3*b, -6 = -n + b. Let m = n - -1. Suppose 5*d = m, 3*g = 3*d + 1323 - 450. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12231\/453 - (-2 + 5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y - 1. Let o be (-5)\/2*(4 - 2). What are the prime factors of c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 + 9?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 128.953. Let v = n + 0.753. Which is the smallest value? (a) v (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8774*s*t - 92*t + 46 wrt s?\nAnswer: -8774*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4 - 7 + 0 + s - 2*s**3 to a + b*s**2 + t*s + m*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*a = -3*y + 7, -3*y - a = 0. Let x = -87 + 123. Let r be (3\/(-24))\/((-2)\/x). Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-60)*(-4)\/(-30)*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136\/3 - -698\/15. Determine k so that 0 - z*k**2 + 6\/5*k**3 - 2\/5*k**4 + 2\/5*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157698945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1164 divided by 582\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 19*d**2 + 1. Let j be (5 + -1)*(-133)\/28. Let t be v(j). Let w be (-8)\/(-1) - (3 + -2). Calculate the greatest common divisor of w and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d - 1. Let y(g) = -g**3 - 12*g**2 + 9*g. Let r(h) = 6*p(h) - y(h). Suppose 5*a = 2*j - 32, 0*a - 4*a - 20 = 4*j. Is r(a) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*n - 265 + 109 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14227, -27471, -40715?\nAnswer: -53959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -49 (b) 0.2 (c) -0.01 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/212652 and 46\/16947183.\nAnswer: 610098588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 plus 0.75?\nAnswer: 0.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67591955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a41 (base 14) in base 6?\nAnswer: -13201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 98, 134, 168, 200, 230?\n\"Answer: -x**2 + 41*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((-12)\/(-6)*2)\/(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3767 + 0.1767. What is the closest to -1\/3 in -4, w, 0.3, -0.061?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 316176\nAnswer: -53\/316176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from qqoxlqqxlqlpxlqol?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-93)\/6)\/1*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 3*p**2 + p**2)*(632*p**2 - 770*p**2 - 468*p**2) in the form j + s*p**4 + o*p + h*p**3 + b*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/160 - 3*z**4\/32 - z**3\/4 - z**2 - 2. Let j(k) be the second derivative of p(k). Find s such that j(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 28*z + 39 = 0. Let w = 51 + z. Calculate the remainder when 151 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 2813032*v**3 + 39383036*v**2 + 137841312*v.\nAnswer: -4*v*(v - 703272)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 506*r + 2278*r + 133*r + 389*r + 653*r to the form q + v*r and give v.\nAnswer: 3959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -1173\/8. Sort -2\/13, d, -1.7, -0.3 in ascending order.\nAnswer: -1.7, -0.3, -2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23250, 5, 2\/7, -4\/3, 0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 x when three letters picked without replacement from {z: 3, k: 1, x: 5, w: 1, r: 1, d: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2939, -5873, -8807, -11741, -14675?\n\"Answer: -2934*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 154866, 10.\nAnswer: -5, 10, 154866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319794066, -639588132, -959382198, -1279176264, -1598970330, -1918764396?\nAnswer: -2238558462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**2 - 149*v - 689. Give x(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.870680987 to one dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a - a, 2*a - 1 = 3*y. Suppose -c = y*c - 48. Suppose 3*b - c = -0*b. Is b greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 18849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2637496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 + 0 + 0 + 4*t + 0.\nAnswer: 26*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {j: 5, s: 2, f: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -17 (b) 0 (c) -1 (d) 2\/291 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 39. Suppose 0 = -h*j + 3*j + 28. What is the second derivative of -11*g - 8*g + 4*g + 2*g**j wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123251 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**8\/56 - 16*y**7\/105 - 9*y**6\/20 - y**5\/3 + y**4 + 8*y**3\/3 + 14*y**2. Solve g(o) = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 879 and 1789?\nAnswer: 1572531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25773 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 46 = -6. Suppose x - 5 = k. Let l = 34 - x. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 24*n**2 + 60*n - 376. Give k(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. Let l = -5 + 0. Let x = 15 - 14. What is the nearest to x in -3\/8, i, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/13 or 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q - 1779 = 111*q + 122*q + 1111 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 + 6)*(-l - 3*l + 2*l).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 38160*o - 533260.\nAnswer: -5*(o + 14)*(o + 7618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*g - 32*g - 54*g)*(-20*g**2 + 115*g - 115*g).\nAnswer: 4460*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 6*r - 16, 0 = 5*r - 111*v + 106*v - 55 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o + 6. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -117458300 to the nearest one million.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 1.98. Let g = 0 + r. Let u = g + 4. What is the second biggest value in -3, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 356928 and 40.\nAnswer: 1784640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.22 (c) 5 (d) 131398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3880*b - 3894*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21200602.\nAnswer: 2, 10600301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - (-28)\/(-3))\/((-4)\/6). Does 10 divide ((-900)\/27)\/(k\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2801134 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 49. Suppose -7 = -a*x + 3. Let l = 1064\/4869 - -2\/541. What is the closest to 2 in l, -1\/2, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -408*p**4 - 5*p**2 + 5*p - 191. Let u(w) = w**4 + w**2 - w - 1. Let l(t) = c(t) + 5*u(t). Differentiate l(z) wrt z.\nAnswer: -1612*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68592763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78828, -79922, -81016?\nAnswer: -82110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 4*u - 24 = 29*w, -u = w + 8. Let m be 801\/17 - w\/(-68). Calculate the greatest common factor of 376 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -f - 2, -5*l + l = -4*f + 32. Calculate the least common multiple of f and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) - -2*sqrt(1188))\/(sqrt(66)\/sqrt(6)*2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*n**2 + 1069*n**2 + 629*n**2.\nAnswer: 1358*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 144*r + 236*r - 92*r - 2*r**3 + 5*r**3 in the form u*r**3 + l*r**2 + x*r + c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-6*t**3 + 5*t**3 - 3*t**3) + t**3 + 8 - 8 + (-2*t**3 - 2*t**2 + 2*t**2)*(-4 + 0 + 3) in the form q*t**2 + m + g*t + y*t**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3036, -21, 4, 2\/7, 3, 0.18 in decreasing order.\nAnswer: 3036, 4, 3, 2\/7, 0.18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -68.6733\nAnswer: -2060.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1)**2*1.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/27174 and -13\/122283?\nAnswer: 244566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -181302350*i + 212369718 wrt i.\nAnswer: -181302350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3207, -3206, -3205, -3204?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51010279*c**5 - 2*c - 25289562.\nAnswer: -1020205580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65084584?\nAnswer: 2, 29, 280537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -517.000004 - -517. Round n to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 4058, 13734, 32606, 63746?\nAnswer: 110226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-7)\/5)\/(-7)*-4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1602, 3161, 4712, 6249, 7766, 9257?\nAnswer: 10716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -11.47, -2\/5 in ascending order.\nAnswer: -11.47, -2\/5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 2757, -8, 5, -3 in increasing order.\nAnswer: -8, -4, -3, 2, 3, 5, 2757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1*12\/16. Suppose z*y - 52 + 12 = -5*o, 5*y - 30 = -o. Suppose 3*q + 7 + y = 0. Is q <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -889786409 - 0\nAnswer: -889786409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbef when four letters picked without replacement from bfbfbfbbfffebef?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 119 = 3*t. Let w = -57 - t. Solve 5*x - 22 = 3*g, -3*g - 17 = -w*x - 2*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258679 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 224*s + 258*s)*(4*s**3 - 3*s**3 - 2*s**3) in the form c*s**3 + p*s + n + q*s**2 + a*s**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 580*l**3 + l**2 + 66*l - 291. What is the second derivative of n(o) wrt o?\nAnswer: 3480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 32*x + 9*l - l - 9*l, -4*x + 2*l = 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.085 + 9.915. Which is the closest to -1? (a) -3 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.39 - -0.01. Let i = -1.5 + 0.1. Let o = i + p. Which is the second biggest value? (a) -2\/9 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l - 22 + 11*l - 33*l. Let u be b(-6). What is the third derivative of g**4 + 110*g**2 - 120*g**2 + u*g**4 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5955 and -82\/1492323.\nAnswer: 7461615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792)*-1 - ((sqrt(88)\/sqrt(4)*3 + sqrt(22) - sqrt(22)) + sqrt(22)))*6)\/(-3*(sqrt(24)\/sqrt(4))\/sqrt(3)*-1).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.9999456 + -18. Round h to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4329 and 101\/28080.\nAnswer: 1038960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711773 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g + 1. Calculate t(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 54466*c**3 + 741690753*c**2 - 1483218112*c + 741581824.\nAnswer: (c - 27232)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5393 + 5396. Solve 2*x = -b + 6, x + 5*b + k = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r**2. Let b(j) = -j - 3. Let q(p) = 2. Let m(a) = 2*b(a) + 3*q(a). Calculate m(v(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Let x be (-2)\/l + 1\/2. Suppose 4*w + x*w = 56. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*w**2 + 23720*w - 23720*w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 40. What is the closest to -0.1 in l, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*m = 2*p + 4, -3*p + 112 = 5*m. Find the third derivative of 7*a**2 - 2 - 60*a**3 - 4*a + p*a**3 + 4*a wrt a.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:38 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7258091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 357\/5*c + 2601\/10 + 49\/10*c**2.\nAnswer: (7*c + 51)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/979 and -5\/17586667.\nAnswer: 193453337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = -f, -6*f + 9*f = -4*g - 8. Let w = 0.6 + -0.1. Let z = 10 - 29\/3. Which is the third smallest value? (a) g (b) z (c) w (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 1560 (b) -0.35 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 3 + 0*k**2 + 0*k - k**3 + 0*k**4 - 2\/5*k**5. Find the third derivative of x(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1735\/504 + 24\/7. Let o = 1\/9 - c. Let j = 58 - 63. What is the closest to -5 in 0.4, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302.099 - 7.619. Let c = y - 291.08006. Let u = c + -3.4. Round u to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 9*a - 1. Calculate h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -118*t + 24. Let o(h) = 2*h**2. Calculate l(o(v)).\nAnswer: -236*v**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -13*h + 12*h. Does 11 divide -6 - h\/(-3) - -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.049, 0, -1, -680, 0.4 in decreasing order.\nAnswer: 0.4, 0.049, 0, -1, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let n be z(-5). Does 14 divide 1*n\/2*-27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v**2 - 29*v - 5. Let x be f(6). Is x <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 31 + -11787 + 11731.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 2*r**3 - 190 + 21 + 11.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27. Suppose 3*a - 4918 = 3*f + f, v = 2*f + 8. Suppose -9*m + 5297 = a. Calculate the highest common factor of 37 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2839 divided by -1.\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - 2*sqrt(156)\/sqrt(3)) + sqrt(52) - (sqrt(468) + sqrt(52))*-3)\/(-5*(sqrt(4) + (sqrt(8) - sqrt(200))\/sqrt(2))).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*x + 56 = 0, 3*p + 5*x + 60 = 8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19.88+-0.4\nAnswer: 19.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -699868 divided by -2\nAnswer: 349934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:49 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/75 + (-647816)\/(-200)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.638875g to kilograms.\nAnswer: 0.000638875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/20 - i**3\/6 + 5*i**2. What is the derivative of y(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -43. Is n smaller than -2\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/5*-1*-2. What are the prime factors of (-91 - (3 - 4))\/m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0434*-4.\nAnswer: -0.1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**3 - 2*w**2 - 12*w - 129. Calculate i(0).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -11*m - 463. Let n(t) = 14*t**3 - 5*t**2 - 5. Let p(f) = 99*f**3 - 36*f**2 - 36. Let i be 44\/10 - (-21)\/35. Give i*p(h) + m*n(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1298.603 centimeters to nanometers.\nAnswer: 12986030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 3*d - 19 = 0, d - 5 = i. Let v be 0 + 6 + -3 - i. Which is bigger: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130628 is divided by 321?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 7:33 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -180, -172, -148, -102, -28, 80, 228, 422?\n\"Answer: q**3 + 2*q**2 - 5*q - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2654 - 2654 + 719*k)*(0*k - k + 2*k).\nAnswer: 719*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0 + 51*v - 15*v**3 + 5 - 1 - 6*v**2 - 60*v. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 10. Suppose g = 5*i - 0*i. Solve t + i*t = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l + 4. Let b be y(-6). Let i be 7 - b - 12\/4. Suppose 14 = -5*j + i*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 49213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*u**2 + j*u + 13*u**5 - 61*u wrt u.\nAnswer: -4*j + 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 7*f - 2. Let i be b(2). What is the closest to -1 in 0.2, 3\/7, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3262, 1502, -258, -2018?\n\"Answer: -1760*j + 5022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + -2 + 0)*-1. Suppose -5 - y = l + 4*w, 4*l - 3*w + 48 = 0. Calculate the common denominator of (-34)\/(-3) + 4\/l and 13\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2035381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37189573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309472.\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 433*g - 70 - 69 + 215.\nAnswer: 433*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**3 - 6\/7*m**2 + 8\/7 - 40\/7*m + 14*m**4.\nAnswer: 2*(m + 1)**2*(7*m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0.06752 (c) 5677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = q + 1, -2*q + 3*q + 2 = 2*u. Let h be q - (-6)\/((-2)\/(-1)). What is the lowest common multiple of -6*(0 - 1\/h) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 685 + -685. Let o(f) be the third derivative of 0*f + 17*f**2 + 0*f**4 + n*f**3 + 0 + 3\/20*f**5 + 1\/20*f**6. Find the third derivative of o(d) wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 308525?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:12 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:27 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123054 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 6113 - 8419 = 0. Let a = 3456 + u. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 6*l - l - 4*l. Let q(n) = -5*n. What is q(c(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 2. Is ((-45)\/o)\/(3\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199060?\nAnswer: 2, 3, 5, 73, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*y**3 - f**2*y**2 + 371*f**2*y + 1270547*f*y**4 - 2*f - 4559 wrt y.\nAnswer: 18*f**2 + 30493128*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 23*x**2 - 26*x - 84. Let s be p(-22). Suppose 4300 = 8*v - s*v. What are the prime factors of v?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l + 168. What is w(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 + -472?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**16\/s)\/s)*s*s*s\/s**15*s*(s\/s**0)**15)**(-13) assuming s is positive.\nAnswer: s**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 97106012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + -1 + 1 + 8 - (1 - 116).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148085144.\nAnswer: 2, 113, 163811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 3*b. Let j(s) = 2*s**3 - 4*s. Let k(w) = -3*j(w) - 4*o(w). Let a be k(1). Solve a = -4*v + 2*f, 0 = -4*f - 17 + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) -3 (c) 93740 (d) 0 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 33*s**2 + 32*s - 153. What is d(-32)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 598?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 7*r. Let y(m) = -m**3 - 4*m. Let d(s) = 4*w(s) - 7*y(s). Let k(c) = -4*c**3 + 1. Let z = -14 - -13. Determine z*k(f) + 3*d(f).\nAnswer: f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -141*k - 4. Let z be i(-3). Suppose -3*a + 2044 = -z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -258235 and -2.3.\nAnswer: 593940.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 - -0.3. Let o = 5.55 + 1.55. Let j = w + o. Round j to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12200120121 (base 3) to base 4.\nAnswer: 123111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2042400 and -79\/51504?\nAnswer: 59229600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19386 + -19338. Which is the closest to 5\/2? (a) 2 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235\/7 - -1182\/35. Let r = -0.06 + -0.14. Which is the closest to d? (a) 0.5 (b) r (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 1039*y + 22322. Calculate c(21).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 52 = -2*g. Let z = 28 - g. Let p = z - -42. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Suppose j - 5*m = 30, 0*j - v*j + 15 = m. Find the second derivative of 7 + 7*y**j + 2*y - 7 wrt y.\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11057 (base 10) to base 2\nAnswer: 10101100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 44. Suppose 162 = -z + 10*z. Calculate the lowest common multiple of 9 and a(z).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109.022 - 0.022. Let n = y + -110. Let v = -0.15 - 0.05. What is the closest to n in v, 0.3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 2)*(-3 + 3 - 1)*(-2*k + 0*k + k)*(0*k + 4*k - 2*k) in the form d*k**2 + q*k + a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 14798*h - 324946. Determine v(-22).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 9. Suppose 0 = -c*y - 177 - 21. Let a = -126 - -129. Sort y, -3, a.\nAnswer: y, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.466764 kilograms to grams.\nAnswer: 6466.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 - 4 = 0. Let k = l - 2. What is the remainder when ((-6)\/(-3))\/(k\/(-2)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/6 - 2\/(-4). Suppose -i - 12 = -g*i. Solve 2*x - 2 = i*q, 0 = -7*x + 2*x - 3*q - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 331 - 331.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 g when three letters picked without replacement from {g: 8, e: 2, h: 8}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 406*j**2 + 1 - 21*j - 22 - 6*j - 5. What are the prime factors of t(-1)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32138710 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -2067.9?\nAnswer: 14475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -3. Suppose 2*b + 2*b = -m. Sort -1, 6, b in decreasing order.\nAnswer: 6, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 751690*y**3\/7 - 751694*y**2\/7 + 4*y\/7.\nAnswer: 2*y*(y - 1)*(375845*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 28)*(-2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 - w. Let k(l) = 3*l + 1. Let t be k(3). Let z be (2 - t) + 1 - -2. Let p be u(z). Solve -10 = -0*c + p*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 66, 0.5, 1\/5, 1\/10, -6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + -323. Let x = t + 102. Which is the nearest to -1\/2? (a) 1\/3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2145.2 + -124.2. What is o rounded to the nearest 10?\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 378 = 2*g, j + 1180 - 410 = 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: Simplify (m*m*m*m*m**(7\/3))**6 assuming m is positive.\nAnswer: m**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-9) + (-4)\/12. Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**2*o*y**2 - f**2*y + 5*f*o - 2*o*y**2 - 67*o wrt f.\nAnswer: 10*f*o*y**2 - 2*f*y + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11942 is divided by 3012?\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2459548 and 8736?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 - -363. Calculate the remainder when 102 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdldbedbfbbbled. What is prob of picking 1 b and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-5663175)\/(-126) + (-25)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1209 and 6326697?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrs when three letters picked without replacement from {x: 1, r: 3, z: 1, b: 2, s: 4, j: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*1)\/(5*sqrt(40)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 37*p = -54. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 1329\/10 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(384\/(-16))*5\/3. Solve b*l - 10 = -5*i, -4*l - 4*l - 2*i = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -45, 2, -4 in increasing order.\nAnswer: -45, -4, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97763335 or 97763336?\nAnswer: 97763335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.56 - 0.44. Which is the third smallest value? (a) 5 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 3*s**2)*(-5*s**3 + 2*s**3 + 2*s**3) - 19*s**2 + 241 - 241 - 2*s**5 - 37*s**2.\nAnswer: -5*s**5 - 56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + (1 - -1) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssdssllrssssrrrs. What is prob of sequence rllr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13335 and 16842994.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1551*r**2 - 3084*r**2 + 1541*r**2. Let w(l) be the second derivative of -5*l**3\/6 - l. What is w(j(z))?\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8)*(-3684)\/1. Suppose -t - 4*n = -8*n - 598, -3*t - 4*n = -j. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 25 = -5*t, 3*o = 2*t - o + 12. Suppose -3*f = -t*b + 1279, -4*f = -2*b + f + 643. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15807897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698087 rounded to the nearest one thousand?\nAnswer: -1698000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-28))\/((-7)\/28*1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)*-29*1. Suppose t = -6*u + u - 2*d, d + 27 = -5*u. Calculate the common denominator of 65\/64 and 75\/24*(u - 1).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 44*n - 22. Let t be i(7). Let w = t + -3720\/13. Let u = -45 - -44.9. Which is the closest to u? (a) -0.1 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 2*y**3 - y + 3*y**3 + 19*y**3 + 2*y**2 + y**4 to the form z*y**3 + g*y**4 + x + w*y**2 + s*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -0.3, 432, -37, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:15 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 9*z**2 + 5*z + 48. Let n be f(10). Sort n, 5, 55.\nAnswer: n, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3136)*-1 - sqrt(3136))\/sqrt(7))**2 - (-2*sqrt(175) + -5)**2.\nAnswer: -100*sqrt(7) + 1067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 932, 969, 1006?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8a - 4?\nAnswer: -b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5))**(-18\/11)\/(n\/(n\/n**1)*n*n*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(-1093\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -386 - -3?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2151 - 2155. Which is the closest to 3? (a) n (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 - 207. What are the prime factors of u\/(-9) - 6\/(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in months?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(4\/9)*n*n*n)\/n**(4\/3))**(1\/3))**(-5) assuming n is positive.\nAnswer: n**(-140\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**3\/3 + 4*z**2 - 7*z - 14. Let v be n(2). Let w = 104 + -82. Solve -c - v*x = 3*c + w, 3*c = -3*x - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 4456\/520 - (-12)\/20. Which is the third biggest value? (a) h (b) -0.07 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -c. What is the second biggest value in 1\/7, c, 3.4, 0.1?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 + 1468*d**2 + 132460*d - 410700 = 0.\nAnswer: -185, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 10. Let r be f(10). Let o = -2898177\/11011 + 306\/847. Let w = o + 263. Is w equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*p + 8, -2*t + 577*p - 575*p - 12 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -12 - 6. Let g = 3 - 1. What is b in 4*b**2 - t*b**3 - g*b**2 + 0*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 556852.\nAnswer: 26728896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cfd7e + -c?\nAnswer: 2cfd72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 36. Let b be m(-6). Let j(v) = 4*v + 4. Let c be j(-3). Let g = 0 - c. Solve 4*s + b*s = -g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1300*x**3 + 3*x**2 + 18*x + 581.\nAnswer: -7800*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 278.623 grams?\nAnswer: 278623000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 195*r + 1. Suppose -9671*l + 9667*l = w - 47, w + 7 = 2*l. Calculate the remainder when n(1) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggb when three letters picked without replacement from ebvoebgoygvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1 + 15\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = j, -302 = 4*m + 2*j. Let o = -70 - m. Solve 5*c + 5 = 5*g + 15, 10 = -o*g + 3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 2. Let l be c(-2). Let g be -1 - (-11)\/(11\/6). Suppose r + 4*a + 16 = 2*r, 3*r + g*a - 31 = l. Calculate the greatest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -187, -302, -405, -490, -551, -582?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 divided by 6?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24082\/5 or 4817?\nAnswer: 4817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 611*v**2 + 9684*v - 1570*v**2 - 9684*v. Let o(q) = 2*q**2. What is x(o(i))?\nAnswer: -3836*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2806 + -838. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**5 + 3*h**4 - 8661*h**3 + 1554139*h**2.\nAnswer: -360*h**2 + 72*h - 51966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvno. Give prob of sequence vvvo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169129*c**5 + 221854*c**2 wrt c?\nAnswer: 10147740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 562 + -546. Solve -a + i = 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710*z + 364 = 723*z. Let a(x) = -x**3 + 2*x**2 + 3*x + 1. Let w be a(3). Sort -1, 5, w, z in decreasing order.\nAnswer: z, 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y - 368 = 289 + 1044. Solve 7 = x - 2*z, -5*x + z + z = -y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -371, -573, -793, -1037?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1810, -1551, -1292, -1033?\n\"Answer: 259*s - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 117 = -10*k. Suppose -4*a - 35 = 3*b - 0*a, -3*a = -b + k. What is the smallest common multiple of 6 and (b\/(-4) + -2)\/(1\/(-104))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d + 8. Let q = 16 - 10. Let v be w(q). Let y = -17 - v. What is the remainder when 33 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*2 - 6*(sqrt(7) + -4))**2.\nAnswer: 768*sqrt(7) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (-3 - -2 - -4). Suppose -1 = k, 5*k = f - 18 + 3. Solve 5*c - f = -5*z, 9 = t*c - 2*c + 2*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -116*(45\/12 - 4). Let q = n + -21. What is the third derivative of w**2 - q*w**2 - 5*w**5 + 14*w**2 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623480 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3164394245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1108806\/33 + (-6)\/33. What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34223 - -10?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 5*l**2 + 2*l**2)*(4 - 4 - 8*l)*(-l**2 + 3*l**2 - 6*l**2)*(-4 - 41 - 4).\nAnswer: 3136*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 935 - 929. Calculate the lowest common multiple of 208 and i.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3571125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 99*b**2 + 3*b - 3. What is z(1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153536, 306927, 460318, 613709?\nAnswer: 767100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 424\/63 - 58\/9. Do -1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 222*v**2 - 444*v**2 + 245 + 220*v**2 - 242 - 5*v. Let g(q) = 4*q**2 + 9*q - 6. Give 4*g(a) + 7*u(a).\nAnswer: 2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(4\/21)*o)\/(o\/o**(-3\/19)))\/(o**(-4\/15)\/o**5) assuming o is positive.\nAnswer: o**(13802\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251\/32033 or -1?\nAnswer: 251\/32033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33367242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 81*u - 7 + 10 - 22*u - u**2 to the form l*u**2 + c + s*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (-1 - -27 - (-73 - -95) - (1 + 4))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 94*z**2 + 109*z + 10251. Calculate x(-94).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8870 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: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693 is divided by (-3990)\/(-75) - 2\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36026 times 10.12?\nAnswer: 364583.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/5, 19, 282?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.4. Suppose -2*j - 3*j = 5*f + 195, f - 137 = 3*j. Let d = j + 41. Which is the closest to -1\/2? (a) 1\/5 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713 is divided by 56.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-4)*(-54 - -2). Let n(s) = 134*s + 34. Let l be n(-8). Let i be l\/(-13) + 14\/y. What is the greatest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17200 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-120)\/42)\/((-4)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159831319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 407960.7 years?\nAnswer: 4895528.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 3.3. Let p = -85 - -85. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/210 and -79\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -426 - c + 415 + 0*c. Determine k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 623258640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104936431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (640\/(-120))\/(-4 - (-52)\/12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35702 divided by -1?\nAnswer: 35702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - k = -2*p, 5*k = -0*k. Let t be 5\/((-10)\/(-6)) + 2. Let r = t - 3. Solve -3*y + 2*x + 5 = p, -3*x = 5*y + r - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25477 in 0.2, -2\/5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*-13365\nAnswer: 73507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4185 + -100481\/24. What is the common denominator of (-3)\/(-2)*(-38)\/(-36) and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -5*i + 8*q - 5*q, -32*i + 33*i - 24 = -4*q for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -18. Let n = -8 + o. Let q = 2295.5 - 2296. What is the closest to -1 in n, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Suppose -7*d + 2*d = 0. Suppose -4*b + b + 12 = d. Let i = 5 - b. Let g(t) = t**2. Give i*g(z) - 3*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128528240 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*s + 2*y = 121*s + 1076, 0 = 2*y + 38 - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 31*f**2 + 11*f. Let y(l) = 42*l - 40*l - 8*l**2 + 14*l**2. What is -2*k(m) + 11*y(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 125*c - 2870. What is r(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2230*0.5\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*d + 15, 0 = -3*d - 0 + 3. Suppose -n - v = -6. Solve -8 - n = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -14.9 (b) 1 (c) -2\/11 (d) -2.4 (e) 17 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*20 - 0)\/((-5343)\/69459*26\/(-4)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262688*i**5 + 725215*i?\nAnswer: 5253760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 65783150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7224 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(44\/6)*356\/(-267)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2 (c) -4 (d) 6 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43992 by -611.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428 and 13054?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2, -24, -0.96608 in ascending order.\nAnswer: -24, -2, -0.96608, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 197*l - 5407. Give u(-34).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x + 2*t, 3*x = 3*t + 18. Suppose -x*o = -3*o + 6. What is the least common multiple of 1 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112462.09132 rounded to the nearest 1000?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/18)\/(2\/6). Let l be ((-2)\/(-4))\/(2\/16). Suppose -l*b = t - 31. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99353.57 millilitres in litres?\nAnswer: 99.35357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -18, 0.3, -4, 5, 6\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358 and 18.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 - 5*m - 6. Let k be t(-4). Let p = 179 - k. Let o = -8 + 26. Calculate the remainder when p is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**3 + 6*d - 4*d - 51*d**3.\nAnswer: -13*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171144732?\nAnswer: 2, 17, 2801, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -48 - (-3 - -2) - (-29 - -25). Suppose 172 = -6*q + 2*q. Let g = q - l. Let k(x) = -x**3 + x**2 - x - 8. What is k(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 - 276*r - 4680 = 0.\nAnswer: -39, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.6361 to one decimal place.\nAnswer: -102.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 4 + -21 + 19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.039 and 7.7?\nAnswer: 7.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from cll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -116668 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3751, -3453, -3157, -2863, -2571?\n\"Answer: -h**2 + 301*h - 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23541354.\nAnswer: 2, 3, 59, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 35\/10. Suppose q*g + 168 = 174. What is the second derivative of 51*l**2 - 102*l**g + 59*l**2 + 9*l wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 23 - v + 2*v**4 + 6*v + 3*v**3 - 6*v - v**3 to b*v + u*v**3 + f + z*v**2 + a*v**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-51) - 72\/(-612)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -139087.\nAnswer: 8\/139087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36 + 24)\/(-2 - -1). Solve -2*w - 2*w = -h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45547 from 0.13026749.\nAnswer: -45546.86973251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 7 (b) -14 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - b - 1. Let h(q) = -3*q**3 + 2 + 3*q**3 - q**3 + q**2 + q + 1. What is h(v) + 3*s(v)?\nAnswer: -v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30655 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 4, -2811, 3, -11 in decreasing order.\nAnswer: 5, 4, 3, -1, -11, -2811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - 5*g. Let r be x(0). Sort 4, 1, r in ascending order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108979191*g**2 - 2 + 2 - 108979177*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:52 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003684 rounded to five dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 201543869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 463, 1711, 3795, 6715, 10471, 15063?\n\"Answer: 418*j**2 - 6*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2981, 11935, 26845, 47705, 74509?\n\"Answer: -y**3 + 2984*y**2 + 9*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 15333 + w**2 + 33010 - 3*w**3 + 15195.\nAnswer: -3*w**3 - 2*w**2 + 63538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 - 7*s**2. Let h(p) be the first derivative of -3*p**4 + 11*p**3\/3 - 593. Determine -8*d(u) - 5*h(u).\nAnswer: -4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 25 = d - 0, 5*d = 2*i - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of ((-11)\/2)\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:17 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/12 + y**3 - 4*y. Let j be n(5). Solve 5*w = -j*m - 10, 2*m = 4*w + 3*m - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let d be v\/(-4)*28\/(-22). Let r = -5\/44 - d. What is the biggest value in r, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18445 + 17004 = -11*u. What is the remainder when 255 is divided by u?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -7*u**5\/60 + u**3\/2 - 4*u**2 - 101*u. Let w(a) = 3*a**2. Calculate w(h(n)).\nAnswer: 147*n**4 - 126*n**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/3))\/u*(u*u**(4\/3))\/u)\/(u\/((u**(-2\/3)*u)\/u)*u**4))**(2\/23) assuming u is positive.\nAnswer: u**(-22\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(5\/2)*j)\/j*j)\/j**(2\/9))\/((j\/(j\/j**(-5)))\/j**(-2))*((j\/(j*j\/(j*j*j**(1\/8)*j)))\/j*j*(j\/((j*j**(-1\/8)\/j*j)\/j))\/j)**4 assuming j is positive.\nAnswer: j**(293\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) -58 (c) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 156608*i = 0. Calculate i.\nAnswer: -469824, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6*j + 33530128*i**4*j - 127*i**2*j - 276727*i**2 wrt i?\nAnswer: 120*i**3*j + 804723072*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = -3*u, 12 = 4*u - 0*u. Let a(k) = -14*k - 81. Let y be a(-6). Put f, 1, y in increasing order.\nAnswer: f, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 8*s - 9. Let f be g(-6). Let w(m) = 5*m**3 - m**2 - 4*m + m**f - 2*m**2 + 7*m. Let v(j) = j**3 - j**2 + j. Calculate -3*v(y) + w(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 - 113\/24*g**4 + 0*g**3 + 0*g + 10*g**2. Let j(h) = -h. Determine j(p(y)).\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*z + 22 = 5*y, 0 = -3*y + z + 3. Let a = 10 + -16. Calculate the lowest common multiple of a\/(-8)*((-145)\/(-15) + -7) and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*x**2 - 91*x**2 + 271*x**2 - 20*x**3 - 88*x**2.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35560, -73465, -111384, -149323, -187288, -225285, -263320, -301399?\nAnswer: -339528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/27060 and 3\/4840.\nAnswer: 595320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3639 divide 100494624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51 from -2138.2.\nAnswer: -2087.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 20512 - 20490 = -4*m, 13*x - 38 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 50. What is the greatest common factor of p and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77.67 + 74.67. Let r = 9.2 - 10. Which is the closest to -2? (a) -0.5 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39267 < -39268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 184, 414, 736?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 7*s**2 - 10*s + 4. Let l be o(-5). Let t be (-744)\/20 + l\/20. Let m = 37 + t. Solve -5*b = v + 24, m - 15 = 2*b - 5*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9364 (base 10) in base 12?\nAnswer: -5504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i + 3. Let p be q(2). Let m = 1 - p. Suppose 5*j + m*v - 125 = 0, -v = -3*j + j + 63. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from llglllllllll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 351*p + 354 = 0. What is p?\nAnswer: -118, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-55)\/33)\/((-1)\/3). Solve a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 631\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 191180348.8 less than -1.34?\nAnswer: -191180350.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54b2b (base 13) to base 12.\nAnswer: 749a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 156. Let f = i - 27. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.3 - 30.5. Let w be 0 - (-2 - 16\/(-7)). Which is the second smallest value? (a) 0 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 75105*x**2 - 6 + 39614*x**2 + 64146*x**2 + (5*x + x - 4*x)*(-x + 1 - 1).\nAnswer: 28653*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + r - 184 - 192 + 555.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:15 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.2 (b) -79 (c) 0.0072 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*f + f**4 - 7 + 1 to m*f**3 + b + l*f**4 + k*f**2 + y*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, y: 2, b: 4, n: 5, e: 1, j: 1}. Give prob of sequence vyvj.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - 130. Solve n*s = 8*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 35 = 5*c, -3*c - 5*y = -6*y + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y - 1. Let q be 6\/72*8 + (-4)\/6. Suppose 0 = s - 0 + 3, 3*k + s + 6 = q. What is w(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -5*i + 5*p, -8*i + 10*i + p = 7 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - 530\/50)*60. What is the second smallest value in g, -1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -3*c, 1 - 9 = -4*a + c. Let s be 40\/14 - a\/(-14). Suppose -u = s*u - 2140. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 6*x - 80. What is the second derivative of 11 - 18*g + 42*g - 2*g**x - 23*g - 3*g**2 wrt g?\nAnswer: -24*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33\/58 - -397\/290. Sort -1.5, -0.2, t in descending order.\nAnswer: t, -0.2, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 12*x. Let j(w) be the second derivative of -2*w + x*w**2 + 0*w**3 + 0 + 0*w**6 + 0*w**4 - 1\/21*w**7 + 1\/10*w**5. Factor j(d).\nAnswer: -2*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/5 - 22*y**4\/5 - 38*y**3\/5 - 18*y**2\/5.\nAnswer: -2*y**2*(y + 1)**2*(y + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 38, 5, -4, 1 in descending order.\nAnswer: 38, 5, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -5. Let v = s - -4.5. Which is the biggest value? (a) -0.1 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 7889*m**3\/2 - 62046697*m**2\/4 - 373985934*m - 2247328836 = 0. What is m?\nAnswer: -12, 7901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 + 23*b + 79. Is 5 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -94. Let j(y) = y**2 + 57*y + 694. Calculate the remainder when r is divided by j(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/5 - 214*k**3\/5 + 7649*k**2\/5 + 33196*k\/5 + 34068\/5 = 0. Calculate k.\nAnswer: -2, 51, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000100110 + 1?\nAnswer: 1010000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -356 (b) 0 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5718175 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-96)\/(-12) - 11)*-5 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -15*t + 17*t. Let z = t + 80. Calculate the remainder when 78 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59670\/(-51))\/(-39)*(-11)\/(-6)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**3 + 1489658*h**2 - 31*h**3 - 1489662*h**2.\nAnswer: 12*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3933 divide 32702895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**4 + 5*k**4 - 5*k**4 + (1 - 6 + 3)*(-3*k**4 + 6*k**4 - k**4) - k**4 + 8*k**4 - 2*k**4 + (4*k - 6*k + 3*k)*(k**3 + 2*k**2 - 2*k**2).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 500 + 2312 - 426*f + 424*f + 178*f**2 with respect to f.\nAnswer: 356*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -131. Let f = 110 + k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r*r\/(r\/r**(2\/7)))\/((r**(-2)\/r*r)\/r**(-1)) assuming r is positive.\nAnswer: r**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2649.\nAnswer: -1324.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.44 + -99.44. Sort -0.5, -6.1, 2\/3, u in decreasing order.\nAnswer: u, 2\/3, -0.5, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255090, -255214, -255346, -255492, -255658?\nAnswer: -255850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 322279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - -2.16. Which is the closest to -0.3? (a) 3\/2 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.03 - 0.03. Suppose 4*i = -t - 20, -3*i = -2*t - i + 10. What is the closest to t in y, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133574.52903 - -145876.595104. Let o = 12302 - i. Let n = 0.0651 + o. What is n rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/2593 (b) 9 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6569800 and 71\/10700?\nAnswer: 6569800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -1 - (5 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -2*m + 5*f, -8*m + 6*m + 2*m + 192 = m + 71*f for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and 124361.41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 107. Let r be (-475)\/(-15) - 1\/v. Suppose -5*d + r = 12. Solve 5*o - 3*o = -d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 4*o. Let p(z) = 0*z**2 + 1 + z**o - 1. Let v(h) = 3*h**2. What is -2*p(s) + v(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + (-20 - -91) + 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {f: 1, q: 5, e: 1, s: 2, p: 7, h: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/69*((-3)\/((-567)\/(-18)))\/(3\/(-27)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2191 and 175?\nAnswer: 54775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575534441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3470205?\nAnswer: 3, 5, 231347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 14*j - 15*j - 5 + 4 - j**2. Let t be n(-11). Let q = -66 - t. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 6*n - 3. Let t(x) = x**3 + 9*x**2 - 4*x + 6. Let s be t(-9). What is the remainder when (s\/8)\/(3\/8) is divided by q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a + -7a6?\nAnswer: -74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/120 + 7*b**5\/30 + 47*b**4\/24 - 5*b**3\/2 + 7*b**2. Let a be r(-8). Let k(c) = 2*c + 10. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310.6822 + 310.8651901. Let l = -0.314 - -0.131. Let n = l + c. What is n rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 10, -2*p = -4*v + 2*p - 56. Let f be ((-3)\/v)\/(4\/24). Let z(s) = -s + 1. Give z(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let v(n) = -334*n**2 - n + 2. Determine v(k(w)).\nAnswer: -334*w**4 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.2, 0.14, -0.3, -1, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.16, -4\/7, -4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*w - 26, 0 = -3*c - 0*w + 3*w + 15. Suppose 2*k = k + c. Solve -k = 4*o + 6, 5*m + 2*o + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 95858032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 5*i + 4*c, 87*c + 737 = -i + 36 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 10*h - 3*h - 4*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:18 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(0 + 2*sqrt(363) - (3 + -1 + sqrt(363))**2)*5.\nAnswer: 440*sqrt(3) + 7342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -273312 divided by -49\nAnswer: 273312\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 + f - 6. What is the remainder when (-2 + (-792)\/(-20))\/(18\/45) is divided by s(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 + 5*t**2 + 5*t + 6. Let k(w) = 9*w**3 + 9*w**2 + 9*w + 12. Let o(l) = 3*k(l) - 7*x(l). Calculate the lowest common multiple of 2 and o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 25304?\nAnswer: 25353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 4. Let c be z(-4). Suppose 3*r - 1725 = -2*r. Let u be r\/10*c\/3. What is the highest common factor of 69 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*x - 2245 = -u + 246*x, 3*x = 4*u - 8997. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c = 52*c - 3 + 19. Let m(w) = -13*w + 47. What is m(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.4. Let q = i - 1. Let s = 4.7 + -1.7. Which is the nearest to 0? (a) 3\/4 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34067 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0, -3, 358079 in decreasing order.\nAnswer: 358079, 6, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*f - 18 = -399*f + 3*o, 0 = -5*f + 102*o + 729 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let m(d) = -501*d**2 + 5*d. Let j(u) = 502*u**2 - 6*u. Let p be (-5)\/6*2*(-900)\/250. Let v(s) = p*m(s) + 5*j(s). What is l(v(x))?\nAnswer: 246016*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 2*s**3 + 4*s**3 + 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -116. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(9\/3 - 2). Suppose 8 - k = -2*w. Let z be -2 + 0\/w - -8. Solve -z = j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(2*sqrt(128)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163\/62 - 943\/620. Let r = -670 - -9343\/14. What is the common denominator of r and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 + 0.731. Let m = 1.28 - t. What is the biggest value in -8, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2137*f**2 + 79*f + 491. Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1667\/146 and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 28 = 3*c. Let y be 7\/1 - c\/3. Solve -y*d = -5*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9873329?\nAnswer: 109, 239, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:44 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -1 (b) -2\/3 (c) -7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 153, 247, 341, 435, 529?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216.634 + -0.366. Let j = -151 - o. Let z = j - 65.929. Round z to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1759 and -0.3.\nAnswer: -527.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17548*r - 17108*r - 4*r**3 + 34656*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q - 42*q = 305. Let m(v) be the first derivative of -v**2\/2 - 1. Let z(k) = 3*k - 2. Let b(u) = 4*m(u) + z(u). Determine b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skse when four letters picked without replacement from {e: 5, d: 1, s: 3, k: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roiqe. Give prob of sequence ei.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((sqrt(152)*-3)\/sqrt(8)*-6)**2.\nAnswer: -123120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:06 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let l be g(-2). Let n = l + 2. Let s be (1 + 3\/n)*-2. What is the second biggest value in 0.5, -2, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.986 - 218710.2447.\nAnswer: -218712.2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -16*o**3\/3 - 4178. Let f(p) = p + 2. Calculate c(f(y)).\nAnswer: -16*y**2 - 64*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6032\/130*(-10)\/(-4). Let b = 145 - w. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488384650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -60 - 15*a**2 + 44 + 3*a**2 - 24*a. Let j(n) = -80 - 111*n - 9*n - 17*n**2 + n**3 - 43*n**2. Let u(i) = -2*j(i) + 11*p(i). Factor u(d).\nAnswer: -2*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 91*s**6\/15 + 205*s**3\/2 - s**2 - s + 420. Find the second derivative of p(m) wrt m.\nAnswer: 2184*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 17*k**2. Let s(a) be the first derivative of 21*a**2\/2 + 189. Give m(s(i)).\nAnswer: 7497*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + o + 3*o - 64 + 5*o as k + t*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 4*l + 40 = 0. Suppose 0*d - 5*d + l = 0. Suppose -5*t + 1 - 4 = v, d*t + 6 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.2. Let t = 2.5 + u. What is the nearest to -0.1 in 1\/3, t, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1528 - -1635.82. Let o = x + -107. Let h = 1.12 - o. Which is smaller: h or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**2. Let x(z) be the third derivative of z**5\/15 + 55*z**2. Give w(x(v)).\nAnswer: 288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/(t\/(t*t*t\/((t**4*t)\/t)))*t))))\/(t**4\/t))**3\/((t**(-1)*t)**14)**(9\/5) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/4230*4*-5. Do 0 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -60. Suppose 3*c + 17 + 4 = -3*i, y = 2*c - 2*i - 6. Let s(h) = -h**3 - h**2 - 2*h + 1. Give s(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**2 + k + 2*k**5 - k - 6*k**5 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -464.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnnunnnnuuu. What is prob of picking 2 n and 2 u?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-5)\/(-1)*(-42)\/(-315).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -1373, -4354, -10553, -21140, -37285?\nAnswer: -60158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -1\/3*b**3 - 4 + 1\/2*b**2 + 0*b. Calculate g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -49, -95, -169, -277, -425?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1021 + 1?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21257 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 8*m + 3 - 24*m + 3*m.\nAnswer: -36*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*x - 24. Calculate the lowest common multiple of 18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4648092 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.283 and -16790644429.\nAnswer: -16790644429.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 46, 174, 378, 664, 1038, 1506, 2074?\n\"Answer: j**3 + 29*j**2 - 36*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17 - 11 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 41 + 8 = -5*t, -2*t + 4*c - 24 = 0. Let o(j) = -j**3 - 2*j**2 + 15*j + 20. List the prime factors of o(t).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, -1, 1, 3, -12 in ascending order.\nAnswer: -224, -12, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x - 9. Let v be ((-16)\/6 - -2)\/((-42)\/(-63)). Let g be o(v). Let y = 2.01 - 0.01. Is y at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1\/6, 4\/1243, -39\/4, -0.13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-80)\/48. Let n be d\/(1 + 40\/(-45)). Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -411\/2. Let w = 18.5 - -4.5. Let h = -23.1 + w. Sort -4, q, h in ascending order.\nAnswer: -4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4871 - 4463. Calculate the least common multiple of q and 1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4500) - sqrt(4500) - sqrt(4500))\/sqrt(3))\/(-5*-2*sqrt(192)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-36) - ((12 - 8)*(-11)\/(-12) + -5)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 153, -13 in decreasing order.\nAnswer: 153, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 5*p**4\/12 + 1315*p**3\/3 - 7935*p**2\/2 + 2*p + 898. Factor r(m).\nAnswer: 5*(m - 3)*(m + 529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:43 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -19 - (-22 + 12).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.72362 - -0.22362. Let z(j) = 2*j**3 - 3*j**2 + 2*j + 1. Let v be z(2). Put -0.03, v, i in increasing order.\nAnswer: i, -0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1910331 tonnes to grams.\nAnswer: 191033.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -404*-8011.4\nAnswer: 3236605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (4 + 24\/(-4)). Suppose i + 28 = 5*i + 2*t, -x*t = -i + 14. Solve 0*u + i = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llss when four letters picked without replacement from {s: 5, l: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -1.5 (c) -1 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -11)\/6*(-1)\/10. Let f = -2\/21 - 55\/84. Let s = 0 - -0.5. Which is the third biggest value? (a) s (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176 + 10*w + 21*w + 177 as o + h*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.8. Let j = -597 + 593. Let z = -2\/371 + 752\/1855. Which is the closest to z? (a) 0.2 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -799, -1169?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (9 + -23 + -5 + 15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 275099 divided by 484\nAnswer: 25009\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose h + 4*w + 20 = 0, 0 = -2*h + t*h - 2*w + 2. What is the tens digit of h\/28 + 172\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170\/3 - -1196\/21. Let l = -14250 - -100168\/7. Let i = 60 - l. Which is the closest to p? (a) i (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7+-4881098912.3\nAnswer: -4881098919.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 5, c: 3, t: 9}. Give prob of picking 2 b and 1 f.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -90*y + 314. Calculate j(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2. Let k(g) = -g. Let x(l) = b(l) + k(l). Let n be x(0). Calculate the common denominator of -9\/4 and (8\/320)\/(n\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299995 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 4*m + 5. Let p be j(-4). Suppose 4*d = -5*i - 95, -4*i = -2*i + 5*d + 21. Let v = i + p. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 4. Let a be k(-4). Suppose a*j = -4*v + 135988, -2*j + 170003 = 5*v - 3*j. Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**5\/60 + z**4\/6 - z**3\/6 - z**2\/2 + 3. Let l(i) be the second derivative of n(i). Suppose -1 - 15 = -4*w. What is l(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 44. Let a be 1 - 0 - (o + -1 + -3). Differentiate 11*k**a + 14 - 2*k**3 + 2*k**3 wrt k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.755 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3*w**3 + w**3 + 0*w**3) + 92 + 5*w**3 - 92 - 8*w**2 + w**3 + 8*w**2 + (-3 - 1 + 6)*(-2*w**3 + w**3 + 3*w**3) + 0*w**3 - 3*w**3 + 6*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 14 - -5) + -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 18. Give y(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1263*d**2 - 1. Let s(r) = 43117*r**2 - 21557*r**2 - 21559*r**2. Calculate s(c(k)).\nAnswer: 1595169*k**4 - 2526*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - p + 5*p**4 + 2411 + 41*p**3 - 2412 in the form l*p + q*p**4 + j*p**2 + b + h*p**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286.8606ml to litres.\nAnswer: 0.2868606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -4*v**3 + 14*v**2 + 24*v + 133. Determine l, given that q(l) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5749000 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 15*x**2 + 15*x - 13. Let z be y(14). Suppose -z + 7 = 3*q. Solve -5*p = -0*p - 10, -2*p = -q*v - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 13. Let m be f(-7). Let u be 63 + 1\/((-4)\/m). Suppose 0 = 2*d + 4*p - u - 42, d = -3*p + 57. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48151*r**2 + 10*r**3 - 7*r**3 - 48151*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 645 and 221235.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d**2 - 25*d**2 - 3 + 23*d**3 + 18*d**3 + 46*d**2 + 2. Give h(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8)*(a\/(a**(1\/13)*a))\/a)\/(a*a**(1\/2)*a*a)**(2\/19) assuming a is positive.\nAnswer: a**(1866\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252\/19 + -264\/19. Is 1 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2*j - 1. Let m be z(-1). Suppose 3*d = -2*r - r + 12, 0 = r - 5*d + 8. Suppose 4*s - 46 = -m*y, 0 = r*y + 2*s + s - 45. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3885, -7918, -11951?\n\"Answer: -4033*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126106 - 51850 = 3094*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t**2 + 18*t**2 + 5*t**3 + 2*t**4 - 2 - 50*t**2 - 3*t**3 + 3*t in the form r*t**3 + o*t + i + n*t**2 + j*t**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 309*f - 7937. Determine n(21).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 20*c**2 + 53*c + 542. What is the ten thousands digit of q(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(91)*-5)\/sqrt(7))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 857 = -s - 797, 0 = -4*u + s - 234 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175602331*s - 804798803.\nAnswer: -175602331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84353354540898439.00000119 + -84353356113553614. Let a = p + 1572654887. Let u = a + 288. Round u to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 65. Let b be k(0). Suppose 0 = 4*l - 9*l + b. Solve l = 4*r - w, 3*r - 6*r + 5 = 4*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 9468166*i**2 - 22411532382720*i - 44823102638112.\nAnswer: -(i - 4734084)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4 + (sqrt(17) - (sqrt(17) + 2))) + ((sqrt(68) + -4)*-5 - sqrt(68)))**2 + 2)*5.\nAnswer: -240*sqrt(17) + 12270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*o + 11*o + 4*o**4 + o**4 + o**2 + 16*o in the form d*o + h + v*o**3 + n*o**4 + t*o**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 88 = p. Calculate the greatest common factor of p and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -2 (c) -0.08 (d) 6\/91 (e) -0.05 (f) -2\/11 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 7622*f**2 - 181336726*f\/5 + 1999317958\/5.\nAnswer: -2*(f - 11)*(f + 9533)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -198, -202, -206, -210, -214?\n\"Answer: -4*q - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:37 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394659 and 12751.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -55\/6*p**2 - 5\/6*p**5 + 10\/3*p + 15\/2*p**3 - 5\/6*p**4 + 0 = 0. What is p?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/169)\/(42\/91)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612)*-5*-5 - (4 + 4*sqrt(612) + 4))**2.\nAnswer: -2016*sqrt(17) + 269956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -463491 + 824804. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871 times -0.1428?\nAnswer: -267.1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 245 = 5*p + 18*r, 3*p + 2*r - 95 = 0 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(384) + (-3*sqrt(384) - sqrt(384)) + sqrt(384))\/(-1*sqrt(72)))**2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186559559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*b + 16 = 8*x, -5*x = 5*b - 35. Solve -x*c - 4*p + 8 = p, p + 2 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14771 is divided by 2905.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5946\/33 + (-2)\/11. Let y = -8 + 11. Suppose 105 + c = y*v. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:49 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 3, d: 1, g: 2}. Give prob of picking 1 d and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18907\/5 + -3780. Sort u, 0, 87 in decreasing order.\nAnswer: 87, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1 (b) -4 (c) 37\/5 (d) -0.1 (e) -95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 4192. Let o(t) = -150*t**2 - 38*t - 1. What is w(o(r))?\nAnswer: -150*r**2 - 38*r - 4193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2543 divided by 5.\nAnswer: -2543\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*h - 4*h + 7*h + (-2 + 2 + 1)*(-2*h - 2*h + 3*h) + 2*h + 0 + 0.\nAnswer: 43*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.2 + 109. What is the nearest to 3 in l, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -o + 121, o - 51 = -3*i + 60. Solve 7*x = -o + 75 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -39*t + 877. What is the thousands digit of c(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -459 + 5768. List the prime factors of x.\nAnswer: 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358177693 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 41\/2, 1.2 in increasing order.\nAnswer: -2, 1.2, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37717766 plus 2?\nAnswer: 37717768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 4*s)*(-4 + 3 + 2 - 3 + 0 + 4 + (-2 - 5 + 5)*(0 - 1 - 1) - 7 - 1 + 0)*(-3*s + 0*s + s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + 3*g**3 - g**3)*(-10 + 10 - 2*g**2) - 2*g**3 + 2*g**3 - 3*g**5.\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -60*d + 90. Let q(l) = l**2 - 2*l - 3. Calculate q(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 - (-2 + (16 + (-10 - -5) - 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -0.32\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = -2*t, -4*n = -5*t + t + 12. Is t\/(-20)*-2 - 12604\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -981.\nAnswer: 5\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 + 4*m - 40. Let p be n(-9). Solve 2*c = -2*i - 13 + p, -1 = -c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1205 - 245.\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -55 + 61 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/36 - 13*g**5\/60 - 19*g**4\/24 + 10*g**2. Let x(o) be the second derivative of y(o). List the prime factors of x(6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 591142, 1182255, 1773370, 2364487, 2955606, 3546727, 4137850?\n\"Answer: k**2 + 591110*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 10*c + 12. Let b be p(9). Suppose -4*m + 14 = -b*i, -m = -2*i + 5*i - 11. Solve 3*v - m = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133 + 21403?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 24*a + 5*z + 69 = 0, 0 = a + 3*z + 3. Let k = -5 - -6. Calculate the highest common divisor of k and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1671 by -557.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/6 + 26*a - 2. Let u(r) = -97*r**2. Give u(h(b)).\nAnswer: -388*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 4. Let d(w) = -w**2 - 14*w - 16. Let l be d(-13). Let t be m(l). Solve -k = -4*z + t, z - k - k - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5834 - 3387. Let s = 4271 - u. Calculate the highest common factor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0798318 rounded to 3 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o - 3*o)*(-12*o + 9*o + 9*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:55 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 25. Let d be -2 + 14 - (-10)\/p. Solve -3*u = -5 - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:20 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 249*w**2 + 88*w + 14. Is v(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 7*j**4\/24 - j**3\/3 + 585*j**2. Let f(g) = -6*g + 3. What is 5*d(w) + 4*f(w)?\nAnswer: 11*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -35, -31, -11, 31, 101, 205?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -3)*3*79877\/84 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565574191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 2. Let h be 4 + 0 + (-6)\/3. Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1174 + -1182.89. Let j = z + 9. Let h = 0.13 - j. What is the smallest value in -2\/5, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1996 and 28.\nAnswer: 13972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5\/2 + 9*g**4\/2 - 3*g**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15625\/3 - 2500*o - 1\/3*o**4 - 1150\/3*o**2 - 20*o**3.\nAnswer: -(o + 5)**2*(o + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254776 (base 8) in base 11?\nAnswer: -60602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -44*i**2 + 52*i - 18. Let b(t) = 9*t**2 - 2*t - 1. Give -5*b(p) - n(p).\nAnswer: -p**2 - 42*p + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + (-1 - (-3)\/(-3)). Let y(t) = t**3 + 17*t**2 - 17*t + 23. Let c be y(p). Solve 7 + c = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbjjjjbj. Give prob of picking 3 j.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (7 + (-1 - -1) + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 5919*t + 1686037\/4.\nAnswer: -(t - 23747)*(t + 71)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.6. Let g = 378 - 1894\/5. Put -4, g, j, -1\/3 in decreasing order.\nAnswer: j, -1\/3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14152 is divided by 1761?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 97*n - 6417. Calculate the remainder when 326 is divided by c(67).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1069, -5, 3, 1 in decreasing order.\nAnswer: 1069, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1 (c) 151371 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 436768888 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 14*o + 9. Give a(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1611 - 1607. Solve l + 5 = 5*f - 21, f = -l + s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062, 2391, 3720, 5049, 6378?\nAnswer: 7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 - 1 + 0 + j**2 - 2*j. Let w(y) = 2*y**2 + 1 - 2*y**2 + y**2 - 2*y**2 + y. Let p(s) = -2*l(s) - 4*w(s). Suppose p(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 7*i**2 - i - 3. Let s be n(-7). Suppose -s*u + 14 = -10. Let z = 7 + -3. What is the lowest common multiple of u and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46 - 29*b**4 + 46 + (-b**3 + 2*b**3 + 2*b**3)*(2*b + 96 - 96).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -953 divided by 20.\nAnswer: -953\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 1011 + 415 = -341 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1202119 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29180 < 320970\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3 + 231271*q**2 + 534467*q?\nAnswer: 12*q + 462542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190461 or -190454?\nAnswer: -190454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.8 + 18. Let v = x - -1.5. Let m = 0.02 - 0.01. Which is the third smallest value? (a) 5 (b) m (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f7 (base 16) in base 10?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 141.71 and -4.117?\nAnswer: -583.42007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-156)\/21*((-9)\/2 - -1). Suppose -m = -3*v - 25 + 7, -3*m + 2*v = -l. Find the third derivative of 1121*p**2 - 1133*p**2 - 15*p**m - 8*p**6 wrt p.\nAnswer: -2760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258820257 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10091139, -40364507, -90820119, -161457975?\n\"Answer: -10091122*a**2 - 2*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + 11*v**2\/2 + 8*v. Let o be r(-9). Suppose -20 = -o*t - 3*t. Solve 9*b - 20 = t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 34*a**2 + 5*a - 2713. Give h(36).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-4)))\/(p*p**7)*(p**(2\/3))**(-14\/9))**(-25) assuming p is positive.\nAnswer: p**(2725\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 - -187. Suppose -4*c + 20 = 4*f, 3*f + 0*c = -2*c + 14. What is the closest to 0 in k, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*l + 780 = -666*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.782 + 510.882. Let f = 501.12029 - p. Round f to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9413563 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2026386234675*z**5\/8 + 675432491085*z**4\/8 + 225155258859*z**3 - 112573725573*z**2 - 1643718*z - 6 = 0. What is z?\nAnswer: -1, -2\/273955, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7293744, -7293737, -7293728, -7293717, -7293704, -7293689, -7293672?\nAnswer: -7293653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**2 + 11*n - 32. Let a(u) = -25*u**2 + 32*u - 96. Let g(t) = 3*a(t) - 8*v(t). Let w(f) = -4*f**2 + 3*f - 11. What is 3*g(q) - 8*w(q)?\nAnswer: -q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -53297, -1\/4, -2, 0.04, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7017747350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 2 - 2 - 2*x**2 + 2 - 2 + (14*x + x - 10*x)*(-4*x - 3*x + 5*x) + (3*x + 4*x - x)*(-5*x + 6*x + x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 3*r + 12 + 2*r + 0*r. Let a be q(10). Does 14 divide ((-21)\/(-6))\/((-1)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-346)\/1384)\/((-1)\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3098, -6177, -9210, -12173, -15042, -17793?\n\"Answer: 4*d**3 - d**2 - 3104*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {m: 3, q: 2, p: 1, n: 1, z: 2, y: 9}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 97, -0.5, 205, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 28. Let r be y(-14). Suppose d = 4*m - 3*d - 88, -5*m + 90 = -d. Solve 5*l - 42 + m = r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 28. What is the highest common factor of a and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276 - -273) + 7 + (2 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9597, 38445, 86539, 153879, 240465, 346297?\n\"Answer: 9623*q**2 - 21*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.19 and -0.06197?\nAnswer: 0.25197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 - 101. Suppose 0 = -2*a - u - 443, -u = -a - 6*u - 226. Let d = a + w. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 + 4*i + 1. Let j(n) = -4*n**2 + 71*n - 283. Let s be j(6). Determine d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 2*-68*(-1)\/8 + 1?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4)*(-60)\/(-160))\/(1\/((-28)\/3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*h**2 - 539*h**2 + 457*h**2.\nAnswer: 178*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163750.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 5 = 16*y, -25 = 5*i + 6*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, -m + 2*p + 3 = 7. Let a = 2 - m. What is the smallest common multiple of a and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + 4.03. Let g = q - 0.03. What is the closest to -0.3 in g, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 77 - (156 + -1)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(7\/5))\/(q\/q**(-5)))**(1\/3))**(-46) assuming q is positive.\nAnswer: q**(1472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/3 + 5630*i**4\/3 - 161882*i**3\/3 + 273166*i**2 - 384468*i = 0. Calculate i.\nAnswer: 0, 3, 23, 2786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -6263?\nAnswer: 56367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 2, m: 6, g: 1, f: 5, z: 1}. Give prob of sequence fim.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 20. Suppose r - 6*r = v. Let p = -4.4 + 0.4. Put -1, r, p in decreasing order.\nAnswer: -1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - 15. Let b = 6\/8539 - 25665\/68312. What is the nearest to 1\/4 in 2\/3, b, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 32010*x + 31. Let j be i(-2). Let g = j - -3455545\/54. What is the common denominator of g and 101\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**2 - 7*r**3 - 10*r**3 - 16*r**2.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-53200)*-20*49\/(-14)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16429 (b) -0.5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/35 - u**5\/5 - 2*u**2. What is the third derivative of q(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -704567 - -0.6.\nAnswer: -704566.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -13.7?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 27 = -4*y, y - 18 = -5*o + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -1*(1 + 1)*1. Suppose -2*a + 2 = -d. Suppose -3*u + a*u + 390009 = 3*g, 1950006 = -5*u + 2*g. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:38 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/3 + 794*d\/3 + 135436 = 0.\nAnswer: -294, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-21) + (-11)\/(88\/16). Sort -3\/2, 3\/2, b, 2\/3 in decreasing order.\nAnswer: 3\/2, 2\/3, b, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -110.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*q - 4 = -16, -4*d + 17 = -3*q. Suppose 0*p = p - d. Let z(c) = -2*c**2 + 41*c + 23. Let g be z(21). Solve p = -t, -7 = a + t - g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55977145.\nAnswer: 5, 7, 1599347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 0.3 (c) -200 (d) 371.4 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77743 - 51160. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/11)*n)\/n*n\/(n*n\/(n**(-3)*n)))\/(n**0)**(-29))**(-47) assuming n is positive.\nAnswer: n**(1598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 2*o**2 - 27*o - 63. Determine q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 18*g + 11*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + 4*x - 1, -q - 2*x + 3 = 0. Let r(z) = z**2 + 5*z + 3. What is r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 120. Let z be n(-15). Suppose -5*g + g = -72. What is the greatest common factor of z and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-26220)\/1035 - (-4)\/(-6)*-2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 40643*c. Let q(u) = -16*u. Give q(l(r)).\nAnswer: -650288*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27444?\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10401 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 5*g, -i = -3*g - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 5\/2*o**2 + 0*o**3 - 1\/10*o**6 + 0*o**5 + 0 + 0*o**4 - o. Find the first derivative of l(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 10*z = -622 - 1553 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0082158 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/27 (b) 6221 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 6. Let n be p(-8). Suppose 4*b - n = b. Suppose -4*m = 4*v, -2*m + 4*m = 3*v + b. Solve -4*a = m*t + a - 7, 22 = -4*t + 2*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.098 - -0.902. Let y = 0.999999896 - g. What is y rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, r: 3, j: 8, b: 3, v: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -17 (c) 0.3 (d) 1\/4 (e) 44933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/(8\/(-1728)). Let m = 88 + j. Suppose -6\/5*r**2 - 2\/5*r**4 + 8\/5*r + m - 8\/5*r**3 = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 12) to base 4\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8931 divided by -8931?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 30*c**2 + 144*c - 7. Give p(-4).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (2 + 0 + -6). Suppose -n*t = -6 + 2. Suppose -2*p - t = -44. Which is bigger: p or 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i\/((i*i**(1\/4)*i*i)\/i*i))\/i))\/i**(-4)*(i**(1\/6)\/i)**(-2\/13))**(-4\/11) assuming i is positive.\nAnswer: i**(-1151\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 3187915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, -34 in ascending order.\nAnswer: -34, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304484, 304376, 304094, 303554, 302672?\nAnswer: 301364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**3 - j**2 + 106*j + 326. Let p be m(-3). Let u be 8\/20 - (-4346)\/10. Let f = p + u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -820, -1673, -2512, -3331, -4124, -4885?\n\"Answer: m**3 + m**2 - 863*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 973, 2248, 4029, 6310, 9085, 12348, 16093?\nAnswer: 20314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*d - 887*d + 2666*d - 894*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 + q - 1. Let v be c(2). Let h be 0 - (0\/(-1) - 20\/v). What is the closest to -1\/3 in h, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9038 by 4519.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 40*g**2 + 5*g - 40.\nAnswer: -5*(g - 8)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52721344 + 188655?\nAnswer: 188655.52721344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2502, -1128, 246?\n\"Answer: 1374*a - 3876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 6*m - m. Let q(h) = -4*h - 6. Let p(d) = -1. Let g(k) = -6*p(k) + q(k). Determine g(w(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19*m. Let p(o) = -5*o. Determine f(p(a)).\nAnswer: 95*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8881212 is divided by 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2650)\/(-12190) + (-36597)\/759?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15103844 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.4499995158 + 31.45. What is d rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-9 - (6 - 33 - -21))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -115*f + 97*f = 54 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2453997 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/((-7)\/(-14)). Solve r + u*q - 5*q = -1, 2*r + 5*q = -13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 12) in base 6?\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120469 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230106888?\nAnswer: 2, 7, 163, 239, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 803670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -12 (c) -7\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249363 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/10)\/(-3)*-12. Solve -2 = -f*b + 25*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108668399 divided by -1055033?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 199*d. Let v(l) = 2*l**2. Determine v(a(o)).\nAnswer: 2*o**4 + 796*o**3 + 79202*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:31 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 101*n - 99*n + 50, -22*n + 16*y = 130 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 17\/40?\nAnswer: 17\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -145751?\nAnswer: 145754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-3 + (2 - 1))) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 598 + -1008. Let k be (-2)\/(-7) + h\/(-35). Let o(s) = s**3 + 4*s**2 - 2*s - 5. Let q be o(-4). Calculate the highest common divisor of q and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1609, -3219, -4829, -6439?\n\"Answer: -1610*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 95 - 136)*((0*d**2 + 0*d**2 - 2*d**2)*(1 - 4 + 1) + 6*d**2 - 4*d**2 + 2*d**2) to t*d**2 + s + l*d and give t.\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 4622260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -45\/8 (c) -5 (d) 2\/17 (e) -4 (f) 190 (g) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -88, -98, -112?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-2) + 10 - (-8 + (-63)\/(-9)). What is the highest common divisor of 9368 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Suppose l*x - 4*x = 7. Factor 3*q + x*q - 3 - 12*q**3 - 6*q**2 + 9*q**4 + 2*q.\nAnswer: 3*(q - 1)**2*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23279541*o + 14 + 23279540*o - 14.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65934.563 to the nearest 1000.\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4)**(-24\/5))**(1\/8) assuming l is positive.\nAnswer: l**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/5 - (-4)\/20. Suppose -3*s + 10 = -o*w, -7 + 3 = 4*w. Let x(h) = h**2 - 2. List the prime factors of x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + z**3 + 0*z)*(-3 + 2 - 1)*(4*z + 25*z + z) in the form q*z**4 + h + j*z**2 + c*z + s*z**3 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2358 and 719.\nAnswer: -1695402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5.7*-18909.24\nAnswer: -107782.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2304874 (base 9) to base 3.\nAnswer: 2100011222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.28 - 18. Let u = 0.3 - k. Let b = u + -0.0112. Round b to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 920, -70, 437 in increasing order.\nAnswer: -70, 437, 920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763 divided by -1.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*r - 3 + 3 - 62*r**2 - 32*r + 74*r wrt r?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-13)\/((-4732)\/39)*7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29313.97ms to seconds.\nAnswer: 29.31397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m\/(m\/(m**0\/m))*m)\/m*m)**(-21))**(2\/77)\/((m**0)**36\/(m\/(m\/((m*m\/(m*m**(2\/7)))\/m)))**47) assuming m is positive.\nAnswer: m**(-1160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -284 + 182. Let p = 101.5 + m. Let o = 1.8 + -2. Which is the closest to -2\/3? (a) o (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23606 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.2 (c) 4\/21 (d) 333.92 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 55. Let i be 1 - (2 + -141)*1. Suppose -i = -v*u + 3*u. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + 0.279996. What is d rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.55 + -33567749?\nAnswer: -33567756.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 19*j - 54. Let r be 3 + 0 + 2\/(-2). Let f(v) = -3*v + v**r - 3 + 1 - 2. Calculate f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q. Let p(s) = 6*s - 6*s - 23*s - 4*s. What is p(b(h))?\nAnswer: 216*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.7120318 - -55.0120981. Let b = -34.3 + h. Round b to six decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1344)\/(-231) - (-4)\/44*2 - -575. What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let u = 8 - 3. Solve -u*l + y*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 7014168?\nAnswer: 7014168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86436348 divided by 419?\nAnswer: 206292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12005138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4871 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464.240887306 + -306.\nAnswer: 158.240887306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2\/((-6)\/(-3)). Suppose -y = -0*o - o. Let n be ((-3)\/6)\/(1\/(-2)). Is o != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 33. Let r be y(-19). Suppose 0*d + d - 5695 = 4*z, 5*z = r*d - 28535. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.093+-1141\nAnswer: -1140.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1587*y**8\/28 - 1703*y**4\/6 - 3545*y. What is the third derivative of z(v) wrt v?\nAnswer: 380880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200025150 (base 6) in base 2?\nAnswer: 1100110101000010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -31. Which is the second smallest value? (a) 2 (b) n (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 38*s**2 + 73*s + 39. Let i be d(-36). Is 1\/3 - ((-31478)\/i - -6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 346?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/6645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -442?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140777 in -3, -0.1, -0.3, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/11820 and 173\/47280.\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 202031003110 (base 4) to base 6\nAnswer: 520102524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 8, -48 in ascending order.\nAnswer: -48, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/4, 74, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3829*-0.04144.\nAnswer: 0.140187376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 202111?\nAnswer: -202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1\/41, -3, -47?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4424913808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from {d: 1, j: 2, w: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5*25\/30. Which is the closest to x? (a) 0.5 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -63. What is the remainder when 95 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l + 1320 = -49*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j**4 - 27989*j**3 - 124914*j**2 - 179036*j - 82280 = 0.\nAnswer: -22\/13, -1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5175*i**3 + 3*i**2 - 12*i - 10. Let a be c(-5). What is a rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*i + 0 = 2, -5*i + 9 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -133*d**4\/2 + 14114*d**3\/3 + 35893*d**2\/6 + 1283*d + 72 = 0.\nAnswer: -1, -3\/19, -2\/21, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22120202021 (base 4) in base 2?\nAnswer: -1010011000100010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -j - 41, 37 = -2*j + 2*n + 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:29 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q - q**2 - 16*q - 3 + 12*q. List the prime factors of p(8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 3:32 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69630472 or 69630475?\nAnswer: 69630472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 6*l - 7. Determine f(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.097 - 5.097. Let x = 0.19 + 0.01. What is the closest to -1 in 0.5, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -15*d + 64. What is the third derivative of 4*g**3 - 11*g**2 - d*g**4 + 23206*g - 23206*g wrt g?\nAnswer: -96*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*(-5)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-4 - (7 - -1 - (-8 + 5 + 5))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*y*z - 67*d*y + 33*d*z**2 + 2*y*z**2 + 9*y*z - 2941*z**2 wrt d.\nAnswer: -y*z - 67*y + 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*h = 2*n + 17, 11 = -4*n + 3*h. Let v(f) = 0*f - f + 0 - n. Suppose -16*u - 8 - 8 = 0. Give v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-46)\/1012)\/(5\/(-10)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -278, -909, -2134, -4151?\n\"Answer: -33*j**3 - 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-729)\/(-15) + (-36)\/60. What is the highest common factor of b and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54537*c**5 + 392*c**2 - 459*c?\nAnswer: -3272220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(10\/5))\/(7 + -9). Suppose s = 13*z - 34*z. Solve 0 = 2*i - 3*m + 20, -3*i - m + 4 - 12 = z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n + 196. Determine q(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i - 387 = 143*i - 27 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -5. Let c(o) = 2*o + 1. Let i be c(4). Let g = i + f. Let k(u) = u**3 - 2*u**2 - 4*u + 2. What is k(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - a**3\/5 - 6*a**2\/5 + 7*a\/5 - 2\/5.\nAnswer: (a - 1)**2*(a + 2)*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 55 (b) 2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512 divided by 2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1365 + -1039. What is the remainder when p is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 510\/(-72)) + -3. Let h(z) be the first derivative of -1\/9*z**3 + r*z**4 + 1\/3*z - 4 - 1\/6*z**2. Factor h(i).\nAnswer: (i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 27 - (-64 + 4).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124643.961 rounded to the nearest 1000?\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2010 and 2580?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.5, -0.04, -0.07, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*g + 12*g + 55 - 57 in the form y*g + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {e: 5, m: 2, p: 3, z: 1, l: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d + 2*l - 4944358 = 42*d, 4120289 = 5*d + 3*l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 7) to base 13.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 19. Determine k(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11148 is divided by 11142.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 19*d + 9*d - 39*d**3.\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233666*j**3*l**3 - 467*j**3*l**2 - 6*j*l**3 - l**4 + 19201 wrt l?\nAnswer: 1401996*j**3 - 36*j - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 3*a**2 - 2*a - 3. Let w be h(-2). Let c = 96 + w. Suppose -2*j = -c - 95. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**4 + 2*z. Let h(g) = -5*g**4 - 6*g**3 - 12*g. Let p(r) = -h(r) - 6*n(r). Determine l so that p(l) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 792 = -4*s, -2*h + 2*s - 6*s + 408 = 0. Suppose -5*q - h = 15*q. Is q bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + 637162?\nAnswer: 637267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3658 divided by -1829.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2167.0001938 + -2167. Round s to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1827)\/(-27) - (-2)\/(-3). Is s at most as big as 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26034285.\nAnswer: 3, 5, 131, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115310 - 65690. Is h a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p + 3. Let a be w(0). Let n(t) = -t**2 + 2*t**3 - a*t**3 + 7*t**2 - 5*t + t. Is 8 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -4)*6\/46. Let o = 75\/46 + s. Let m = -7 + 6.7. Put -2, m, o in decreasing order.\nAnswer: o, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -61, -106, -171, -262, -385?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n - 5*y + 120, -387*n + 388*n - 108 = -5*y + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 17. Let m(b) = -b**2. Determine m(h(u)).\nAnswer: -36*u**2 - 204*u - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -0.142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2893, 2776, 2659, 2542, 2425, 2308?\n\"Answer: -117*h + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from yyxxxyjmxxmxymymyx?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*r - 4506 = -231*r + 25647 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*u - 52. Suppose -2*p = -x - 37 + 13, -3*p + 29 = -x. Let i = x + 28. What is the least common multiple of u and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -44, 4, -6\/7 in descending order.\nAnswer: 4, -6\/7, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*o - 105*o - 8 = -2*c, 4*c = -2*o + 16. Let y = -38 + 82. Suppose y = 5*j - 56. Solve -20 = -4*m, -j = g - o*g - 4*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 12, -3*j + 57*v - 52*v + 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2682\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109818*m**3 - 2 + 2 + 54913*m**3 + 54923*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.5 (c) 0.064\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -529.9 + 530. Which is the third smallest value? (a) 2\/11 (b) -0.09 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1255?\nAnswer: 1254.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -59. Suppose -6*k = 36 - 156. What is the remainder when n is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.6 times -1899?\nAnswer: -113180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 38. Let v be t(6). Suppose -l + 1\/2 + 1\/2*l**v = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8775 + 1?\nAnswer: b8776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Which is greater: 3161485 or 3161489?\nAnswer: 3161489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**3 + 7*k**2 + 2*k + 5. Let b(g) = -g**3 - 2*g**2 - 1. Calculate -a(o) - 2*b(o).\nAnswer: 6*o**3 - 3*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28433043\/(-15)*(-3 + 436\/144). Let q = 52655 + i. Find the common denominator of q and (4\/2)\/((-48)\/(-212) - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4154 (base 14) to base 2.\nAnswer: -10101111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -4 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 2977554*f - 738818985243 = 0. What is f?\nAnswer: -496259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - c = -5*c, 0 = -3*b - 5*c. Let t be (b + -1)\/((-3)\/9). Suppose -4*w - t*y + 10 = 0, 8 = -0*w + w - 2*y. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 84557795465.271 and 2.\nAnswer: 84557795467.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = -4. Let n be (9\/(-126))\/((-2)\/(-4)). Which is bigger: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 974 + -687. Let y = 286.99629 - o. What is y rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15844*f - 8697*f - 8032*f.\nAnswer: -885*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13734 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1274.000031242 + -1274. What is u rounded to 7 dps?\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -7. Calculate the smallest common multiple of c\/((-31)\/(-60) - 80\/120) and 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -476 (b) 0.3 (c) 3\/7 (d) -43 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1418 and -127049.5358.\nAnswer: -125631.5358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.373 + -202.627. Which is smaller: v or -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-1 - -1) + 1. Let f(u) = u + 73. Let o be f(-46). Suppose -32*z + 30 = -o*z. Solve 0*c + z = g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/35*224\/24. Let a be 502\/7 - (-2)\/7. What is the highest common factor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b\/(((b*b**16)\/b)\/b)*b)\/b*b*b**(-18)*b assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:21 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6237, 28163, 70605, 138387, 236333, 369267, 542013, 759395?\n\"Answer: 804*t**3 + 5434*t**2 - 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n**2 - 302400*n - 12808576 = 0. What is n?\nAnswer: -968\/23, 6616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 + 2*v - 2. Let c(f) be the second derivative of f**4\/3 - f**3\/2 + 3*f**2\/2 + f - 4. What is 2*c(i) + 3*o(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 184*f**2 - 2*f - 13. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*l - 60*l - 210. Let s be l\/(-7)*(-1)\/(-3). Let f(x) = 2*x**3 + 4*x - 3*x**3 + x - 119*x**2 - s + 115*x**2. Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, -15, -2, -300?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*v + v + 12, 0 = -3*v - 9. Suppose -3*s = -o*s - 9. Let n be 14999\/s - (-2)\/6. Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 3*c**2 + c + 0*c**2 + 7*c**2 - 2*c**2 - 28 to the form j*c + l + s*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memmmmme. What is prob of sequence mm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/4*n**4 + 2*n**3 + 2*n + 7 - 6*n**2. Suppose c(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/20 + 77*k**2 + 355*k - 2. What is the first derivative of y(s) wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53676089 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 178 (c) -5 (d) -31 (e) -2\/13 (f) 0.4 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 158, -1\/2, 12\/11.\nAnswer: -1\/2, 1\/3, 12\/11, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 640474 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 5*z**2 + 8*z - 8. Let j be l(4). Let r(g) = j*g**2 + 16 - 16*g - 18 - 25. Is r(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/7 - 204*d**2\/7 - 6210*d\/7 - 48600\/7 = 0. Calculate d.\nAnswer: -45, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-1*3)\/sqrt(8))\/((4*(sqrt(64)*-2 + sqrt(64)))\/sqrt(8)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -38, 11, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 375765 + -189385445\/504. What is the common denominator of 89\/72 and s?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3 + 5. Let r = 45\/8 + -49\/8. Put n, r, 1\/3, 0 in decreasing order.\nAnswer: n, 1\/3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*p - 5 + 16, 3*p + 24 = 3*q. Let v(k) = 84 - 91 + k + 4*k - k**2. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/7412 + -407807\/363188. What is the common denominator of 101\/16 and p?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 - 30300013?\nAnswer: -30232303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*l - 4985 - 15866 = -3587 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**3 - 9*t**3 + 14*t**3.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-132)\/(-60) - (-66)\/(-55). Let c(z) = 40*z - 16. What is c(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -847, 12, 55 in decreasing order.\nAnswer: 55, 12, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -101. Do -0.6 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1.46?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Let v(f) = -22*f**2 + 16*f - 4082. Calculate v(j(k)).\nAnswer: -22*k**4 + 16*k**2 - 4082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -851.19987752 + 851.2. What is f rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 24. Let z = 9 - k. Does 2 divide 6\/15 - 23\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/1 - (-4)\/2. Let p = 22545 + -22168. Calculate the highest common divisor of p and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 2. Let d(s) = -s**3 + 5*s**2 - 5*s - 3. Let f be d(4). Let m be a(f). Suppose 0 = -10*u + m*u - 15. Let p(i) = -i**2 - 6*i - 4. Determine p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 5*r + 4. Let o be b(3). Let i = 0.07 + 0.13. Let k = -1.2 + i. What is the second smallest value in 2\/7, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/17094)\/((-2*1)\/14).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -56*s**2 - 192*s. Let d(p) = p**2 + 3*p. Let a(y) = 320*d(y) + 5*t(y). Let c(x) = -32*x**2. Give a(c(z)).\nAnswer: 40960*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1080*n**2 - 10*n - 854*n**2 - 862*n**3 + 7*n wrt n?\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 10) + -4 + 2. Suppose -3*k = -i - 18, 0*i - 5*k - 10 = i. Let s = h - i. Let p(u) = -2*u + 6. Calculate p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -0*t. Calculate the remainder when 163\/4 + t\/12 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6123.094 micrometers to meters.\nAnswer: 0.006123094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = -3. Solve 15 = j*f - 4*q + 1, q = -2*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 6:31 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-10) - (956\/(-10) + -7)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1295934, -2591868, -3887802?\nAnswer: -5183736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.300126 - 3.3. What is b rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10883156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145359229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -23*h + 4576. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153859197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -1074, -1014, -886, -666, -330?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**2\/4 + 93*i\/2 + 63\/4.\nAnswer: -3*(i - 21)*(3*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 7. Let y(l) = 1244237*l**2. Calculate p(y(o)).\nAnswer: -7465422*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -2)\/1 - (-7 - -7). What is b in -2\/3*b**4 + 0 + 2\/3*b**2 - 2\/3*b**c + 2\/3*b = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1627764323 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqee when four letters picked without replacement from {t: 1, j: 3, q: 3, e: 6}.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f. Let s(a) = 13*a**2 - 16*a**2 + 2*a**2. Give s(z(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - -74?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8386 times -1?\nAnswer: 1.8386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.7908 kilometers to micrometers.\nAnswer: 494790800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.31108 + 60.3. Let h = 5.99372 - n. Let m = h - 6. Round m to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(1 - 4*l - 1)*(-2 + 4 + 1) to d*l + c and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-10 - -21 - -2) + -4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608 and 1140?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23b5 - -14?\nAnswer: -23a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13622.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a95 (base 15) in base 12?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14418 * 0.0435\nAnswer: 627.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -76*q - 1. Let a be z(-1). Let d be 88\/(-2) - (0 + -2). Let k = d + a. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16056 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 15. Let o be ((-9)\/(-2))\/3*54. What is the highest common divisor of k and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 31*h. Suppose 0 = g - 3, -3*g - 14 = -4*f - 15. Let u(o) = -4702 + 4702 + 2*o**f. What is a(u(s))?\nAnswer: -4*s**4 - 62*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -90?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1*sqrt(288) - sqrt(288))*4)**2 + -1) - (-1*sqrt(288)*-2 - 6*(sqrt(288) + (sqrt(288)*1 - sqrt(288))))**2.\nAnswer: 32254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.3, 178, 2, 18\/281?\nAnswer: 18\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:29 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24 - (15\/9 + 1\/3). Suppose 4*c = 2*t - p, 0 = 2*t - 5*c - 3 - 14. Let b be 28\/t + 10\/6. Solve -1 = h + b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (-14 + -19 + 15 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264537207?\nAnswer: 2689, 470263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1055 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7313 + 67?\nAnswer: 7380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 50*w**2 + 352*w - 17599. Give c(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11205*t**2 - 20*t + 12. Let f(z) = -26145*z**2 + 46*z - 28. Determine 10*f(x) + 23*k(x).\nAnswer: -3735*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/11)\/v**3*((v*v**(-2\/5))\/v)**(29\/5) assuming v is positive.\nAnswer: v**(-1613\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(325) + sqrt(325) + 2 - (sqrt(13) + (sqrt(130)\/(sqrt(10) + sqrt(70)\/sqrt(7)) - sqrt(13)) + -4).\nAnswer: 6 + 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(3\/5)). Let x = 0.8 - 0. Let y = 0.2 + x. Which is the biggest value? (a) -2 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42 (b) 1\/29 (c) -2\/9 (d) 0 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 18*s**2 - 4*s - 72.\nAnswer: (s - 2)*(s + 2)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032 is divided by 132?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 653, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 26c?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*q + 317*q - 7700 = -386*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 9 + 45 - 24*a + 11 - 88.\nAnswer: -24*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4577052 by 20.\nAnswer: 1144263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y**6 - 34*y**2 + 0*y**5 + 0 - 169\/210*y**7 + 27\/8*y**4 - 3*y + 0*y**3. What is the second derivative of w(p) wrt p?\nAnswer: -2028*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 56 = -5*v, 2*m + 6*v - 3*v - 24 = 0. Suppose 0 = m*g + 11*g - 72587. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 + 10*a - 2. Let w be k(7). Solve -4*v - w = -7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 23*u**2 + 197*u\/2 - 75.\nAnswer: -(u - 3)*(u - 1)*(u + 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 33845?\nAnswer: -33844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3160 and 958285010.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r + 12. Let g = 14 - 29. Let c be (-5)\/g*(0 - 0). Solve 0 = -c*d + d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(-3*c + 0 + 0)*(3 - 2 + 2 + (-1 + 1 - 2)*(0 - 1 + 0) + 3 + 0 - 1 - 2 + 2 - 1) to the form i + g*c and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(2\/30)\/((-178)\/6408).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680*t - 3266*t + 1629*t.\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67326 + 67326 + 8*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 4 (b) 2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = -8470. Let z be v*(2\/8)\/((-3)\/(-6)). Suppose 2*o + 10 = 0, o = -5*b + 2377 - z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*t - 38. Let w(q) = -q + 14. Let p be w(t). Let f be (-4)\/(p - -2) + 3. Solve 0 = -3*h - 5*o - 6 + 28, -f*o = 5*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:25 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/7 (c) -16 (d) -46.28 (e) -3 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:20 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 1, n: 1, q: 1}. Give prob of sequence zxq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1697 or 1688?\nAnswer: 1688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5989*s**2 - s - 1072 wrt s?\nAnswer: 11978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = -3*j + 8*l - 3*l, -5*j - 3*l = 772. Let w = j - -219. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -2*m - 0*m + 4*a, 2*a = -4*m - 420. Let y = m - -513\/5. What is the closest to y in -2, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v*v)\/(v\/v**(-7))*(v\/((v*v*v*v**31)\/v)*v*v)\/v**(-6\/7) assuming v is positive.\nAnswer: v**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46854.\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1090655887 to 5 decimal places.\nAnswer: 0.10907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 + -65714?\nAnswer: -65811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.88 + 0.8679. Round v to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 - 6*z**2 - 24390*z + 25019*z in the form f*z + x*z**2 + r and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, v: 1}. Give prob of sequence vb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273265 is divided by 115?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:49 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020012110 (base 3) in base 8?\nAnswer: 311030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*f = -0*n + 126, -121 = -4*n + 3*f. Let j = 49 - n. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62410)\/130 - (-1)\/13. Let r = 482 + u. Solve 3*z - 13 - 1 = -r*c, -4*c = -5*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88\/37 - -1253\/111. Let i = 419 + -201. What is the common denominator of p and i\/55 - 10\/(-25)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/3)*m)**(-1\/62) assuming m is positive.\nAnswer: m**(-4\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:29 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Suppose 92 = 4*w + 4*z - 20, -94 = -r*w - z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 19*r - 19*r)*(4*r**2 - 7*r**2 - 2*r**2).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32a - -1?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-14) + -13 + -6 + -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42011, -70297, -117435, -183419, -268243?\nAnswer: -371901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*h + 2*h - h)*(-1 - 1 - 1)*(12 - h - 5 + 0*h)*(5 + 5 + 15).\nAnswer: 75*h**2 - 525*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242523?\nAnswer: 3, 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 21 - (-402 - -396)) + (-2 + 151 - -1).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + 21*s**2 + 488*s - 3430. Calculate n(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -9. Which is bigger: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -24 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 23 = 4*s, 0 = -3*s + 3*o + 15. Suppose 0 = m - 4*p + 9, s*p + 7 = 2*m + 1. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:59 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(10)*-1 - sqrt(10)) - sqrt(3)) + -1 + sqrt(192))**2.\nAnswer: -13*sqrt(3) + 511\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30310 is divided by 10099?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 3*w + 0 - 1\/3*w**4 + 2*w**2 + 5\/3*w**3 - 1\/2*w**5. Factor f(u).\nAnswer: -2*(u - 1)*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9520 and 37910.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537520, -537623, -537726, -537829, -537932, -538035?\nAnswer: -538138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) - (sqrt(833) + 0))*-2)**2 + (sqrt(1088) - (-1*sqrt(1088) + 2)).\nAnswer: 16*sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let d(c) = c**3 + 11*c**2 + 9*c + 8. Let f be d(-10). Let j = -15 + f. Let y(b) = 0 - 2 + j*b**2 + 2. Calculate y(g(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 - 1\/10*u**5 + 1\/2*u**4 + 0*u**3 + 5*u - 4*u**2. Factor t(d).\nAnswer: -2*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -84. Calculate the smallest common multiple of 9 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 9*y = -196 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(sqrt(8)*-1) - sqrt(28)\/(sqrt(8)\/sqrt(2))*-5)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 201.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*h**2 + 45*h**2 + 41*h**2 - 3*h + 2*h**3 as v*h + b*h**2 + z*h**3 + d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + (11 - (0 + -5)) - (465 - 458).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 207 = 4*h + 2*b, -h = 2*b - 73. What is the first derivative of h + 12 - 9*s - 96*s wrt s?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284378 is divided by 431.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*h = 2*h. Is (-1 + 3 + 155 + h)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/48 and 43\/6284652.\nAnswer: 25138608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 424*s**2. Let c(g) be the second derivative of 5*g**3\/3 + 1947*g. Calculate v(c(i)).\nAnswer: 42400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -37.3. Let x = -37.50001595 - y. Round x to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8418 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 2\/41, -3 in decreasing order.\nAnswer: 2\/41, -2.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84746, 338937, 762576, 1355669, 2118222, 3050241, 4151732?\nAnswer: 5422701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.159 + 0.095. Let t = k - 541.936. Let q = t + 619.3. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12484140397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*h - 2)*(h + 2*h - 2*h) + 114*h + 4566*h**2 + 165*h - 279*h to the form r*h + q*h**2 + d and give q.\nAnswer: 4568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/31)*r)\/r**(6\/13)*(r\/(r*(r\/(r\/r**5)*r)\/r))\/r**18 assuming r is positive.\nAnswer: r**(-8675\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 470792359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 16480 = -5*l, 5*l + 4*p - 7931 = 8552. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-16\/7)*c)\/c**20 assuming c is positive.\nAnswer: c**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k + 12. Let h = -697 + 711. Calculate the remainder when g(-5) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3181 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011110 - 11001?\nAnswer: -11000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-99)*((-1380)\/(-1840))\/((-1)\/8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -460930.2 to the nearest one thousand.\nAnswer: -461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-276))\/((-2)\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/7 + 102*b\/7 - 1364\/7 = 0. Calculate b.\nAnswer: -62, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 811*f - 154*f + 15768 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.46392l to millilitres.\nAnswer: 97463.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - 183. Let a = c + 225.00000497. What is a rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 23*f - 48. Let l be k(25). Suppose -d - 4*i + 16 = 0, -l*i - 80 = -5*d - 7*i. Is d < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -3)*1 - (-594)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 18*g - 3. Let u be k(-18). Suppose -4 + 0 = v + r, v + 12 = -3*r. Put v, 1, u in ascending order.\nAnswer: u, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -7 - 6) + 3. Let w be 602\/126 + (4\/9)\/d. Put w, -4, 0 in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Suppose -1 = -s, 3*m + 2*s = -2*s + 70. Let o be 4\/m + (-9)\/231. Sort o, -4, h.\nAnswer: -4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264 + -254. Let d be -12*y\/4640*(-16)\/(-18). Let x = -1 + 0. Are x and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 - 31?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/42 + 5\/35*12606 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8279 + -8263. Solve 5*q = -5*r + 11 + 14, -f = -4*r - 3*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/6 + 47*d**3\/6 - 177*d**2. Give b(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 3, g: 1}. Give prob of picking 3 z and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*f + 954, f - 322 = -4*i + 444. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69*((-14)\/252)\/((-133)\/38 + 4)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762 (base 11) in base 8?\nAnswer: 4306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10050903 divided by -47.\nAnswer: -213849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9896755 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -3.1532\nAnswer: 3.3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from ssaas?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2. Let s(o) = 63*o**2 + 5*o. Let f(n) = 188*n**2 + 14*n. Let b(t) = -5*f(t) + 14*s(t). Determine v(b(k)).\nAnswer: -3364*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 4*t + 37, 0 = -2*z + 11*t - 16*t - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 - 50 = 0. Let o be -2 - -2 - (1 + -155). What is the highest common factor of o and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 51\/22, -2, 18, -3\/5, 0.3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924847597 to the nearest integer?\nAnswer: 30411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41916421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3. Let v(i) = -i**3. Let s be -1 + 6\/3 + -1 + 2. Let l(f) = 2*f**2 + 2 - 5 + 5 + s - 8*f. Let g be l(4). Give g*o(x) + v(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 5*u - u + (0*u + 2*u + 3*u)*(-18 - 16 + 8).\nAnswer: -134*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Let u(b) = 7*b + o*b**2 - 6*b - 3*b + b**3 - 1. What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 3079 = 199*z - 560 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 153 + 72. Let u(h) = -9*h. Calculate the smallest common multiple of u(-2) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -3 - 2\/51*l**3 - 6\/17*l**2 + 0*l. Factor t(m).\nAnswer: -2*m*(m + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 + -0.2. Let j = 2.51983685 - 2.449837. Let h = b + j. What is h rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:50 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 3*q**2 - q + 1. Let w = 41 - 39. Determine m(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15532 - 5?\nAnswer: 15524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 96 = 15*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17, 3, 5, 5.1, -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 2*q + 5*q)*(-3 + 4*q - 3*q + 1).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b + 139 = 4*b - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 6. Let u be i(-6). Let o(h) = 20*h + u*h + 84*h + 5*h + 8. Is o(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 17*q - 13*q + 20 = 0, q = 4*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 46663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 2*x + 6. Let u be r(-9). Suppose -3*s + u = 5*p, -p = 4*p - 15. Suppose -4*o + o + s = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8f (base 16) to base 14\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7675961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 + 90 = 4*o + 29. Are -626\/7 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.61 - 0.61. Which is the third biggest value? (a) d (b) -3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181162553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 325 + -3 - -1*(-9 + 4). Let q = m + -251. What is the highest common factor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00605 - -0.57875. What is h rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 5)\/((-2)\/6). Let z(x) = -2*x**2 - 3*x. Let p be z(l). Let s = p + 24. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 6, x: 13}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*y**4 + 856*y wrt y.\nAnswer: -4116*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53.6 - 0\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.96. Let a = 99 + -103. What is the closest to 4 in b, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 99990 and 99998 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 3*a = -676. Suppose -4*b = 4*m - a, 4*m - 43 = 9*b - 12*b. Calculate the highest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2482*m**2*w**4 - 2*m**2*w**3 - 2*m**2*w**2 - 2*m*w**3 - 310*w**2 - 2 wrt w.\nAnswer: 59568*m**2*w - 12*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 889397 and 993?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5285158, 5285185, 5285202, 5285203, 5285182?\n\"Answer: -s**3 + s**2 + 31*s + 5285127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 - 320*w\/9 - 12800\/9.\nAnswer: -2*(w + 80)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 17*l - 5*l - 11*l - 11*l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 29 = -4*w - 4*d, 48 = 5*w - 2*d. Put -4, 8, 3, w, 1 in decreasing order.\nAnswer: w, 8, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126964293, 126964297, 126964303, 126964311?\n\"Answer: q**2 + q + 126964291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053113 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -427, -1533, -3723, -7363, -12819, -20457?\nAnswer: -30643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2696749282?\nAnswer: 2, 3169, 425489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2267 - 1590. Calculate the remainder when x is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 12:45 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*l - 23 + 1 = -2, -3*l = 2*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let k = -6 - -10. Let u(q) = -q**2 - 4*q - 2. Let w be u(-3). Put w, k, m in decreasing order.\nAnswer: k, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -3, -1.7, -2 in increasing order.\nAnswer: -3, -2, -1.7, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173374 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50670 is divided by 50599.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*f + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14043294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25757675 by 12.\nAnswer: -25757675\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226 + -455\/2. Which is the nearest to 0.1? (a) 3\/4 (b) 0.2 (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/60 - (16\/6 + -3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12914 - -1?\nAnswer: -12913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*y + 15 + 39 = 0, -80 = -3*z + 5*y. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -87. Solve 5 = -3*d - 2*u, 0 = 3*d + v*u - 2*u + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785839221 to the nearest integer?\nAnswer: 28033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571936 to the power of 1\/2, to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*s = -4*s + 35, 3*s = 5*j. Put -1, j, 5, 2\/5 in ascending order.\nAnswer: -1, 2\/5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h. Suppose n + 10 = 4*y, 0*n = 3*y - 4*n - 14. Let s(g) be the third derivative of 0 + 0*g**3 + 0*g + 1\/24*g**4 + g**y. Determine b(s(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-465)\/341) - (12 + -3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507618\/15 - 4902\/(-1290)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412491692 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((-73 - -33) + 30)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -41. Let j = 17 - 13. Suppose 0 = -o - 2*z + z + 7, -j*z + 3 = -o. Sort t, 2, o in descending order.\nAnswer: o, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 (base 14) in base 2?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-904)\/(-174) - (-26)\/(-78). Let h = -5 + u. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2 - i. Let m(t) = -t**3 + 5*t**2 + 25*t + 19. Let y be m(8). Let g = y + -24. Let o(k) = -6*k**3 + k**2 - 3*k - 1. What is g*d(c) - o(c)?\nAnswer: 3*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 680 - 4703. Suppose 0 = 2*k - 0*k - 10392. Suppose -3*y = -k + n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 2\/3, 44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/3 + 575*w**2\/3 - 8060*w\/3 + 4620.\nAnswer: -5*(w - 99)*(w - 14)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5918\/(-33))\/(3\/(-72)). Suppose -4*c - v = -12*c. What is the smallest common multiple of c and 4?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1754, -3462, -5174, -6896, -8634, -10394, -12182?\n\"Answer: -y**3 + 4*y**2 - 1713*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11\/(u*u**(19\/4)*u))**49 assuming u is positive.\nAnswer: u**(833\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 6. Let l(s) = 1. Calculate -2*l(n) - v(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 23, -0.3, -94\/3, 1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 688\/5. Let q = 2.1 - 1.74. Let f = 0.06 - q. What is the nearest to -1 in i, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3202 times -336.9\nAnswer: 1078753.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160769.\nAnswer: 7, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/(4\/6). Let r = 4.6 - 4. Let l = 0.9 - r. Which is the second biggest value? (a) u (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4341aa9 (base 12) in base 4?\nAnswer: -300233103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6705587.34199989 - -6705586.8. Let h = 0.542 + o. Round h to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 185 + 197 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 15) to base 8\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18053401?\nAnswer: 19, 950179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*w - 105 = -36, 2*f - 2*w = -30. Let n(s) = 3*s**2 + 14*s. Let q be n(f). Calculate the greatest common divisor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242 a factor of 3951222395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2 + 13*u - 5*u**2 - 5*u**2 + 3*u**2 - 30. Let z be o(-15). Is -0.01 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -45089?\nAnswer: -45088.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672593 to the power of 1\/2, to the nearest integer?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2)*1 - (-3073)\/7. Let f = b - 277. Suppose 0 = 13*g - 2*g - f. Calculate the remainder when 42 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v**3 - 18*v + 18*v)*(8*v + 22*v + 17*v).\nAnswer: -564*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1513 - 728?\nAnswer: -1c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -261\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i. Suppose 0 = 7*h - 2*h - 100. Suppose -4*q - h = -i*q. Let c(d) = -2*d - 3. Calculate c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) + (-20)\/(-25). Let r = 21 - m. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288869 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + l = 7, -5 = l - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-14) + 144\/56 - -551?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/44 and 85\/37868.\nAnswer: 416548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -21. Which is the nearest to 1? (a) 5\/2 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 67 = o. Solve -18 = 5*u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22241 = 209*s - 30998 + 8513. Calculate the remainder when s is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x. Let v(l) = 4907*l. What is v(q(a))?\nAnswer: -39256*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:44 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3228 divide 323652727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21290117 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + 104 = 67 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*v = 1071*v + 4129*v + 665017 - 243937 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 79 = 2*a - 7, -4 = 2*a. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3075*w**3 + 9295*w**3 - 3075*w**3 - 3091*w**3.\nAnswer: 54*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*a**2 + 15*a**2 - 39*a**2)*(5*a - 2*a - 4*a) + (0 + 1 + 1)*(2*a**3 - 2*a**3 + 6*a**3) in the form v*a**3 + t + b*a**2 + d*a and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 5 + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-0.24.\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1011, -2026, -3041, -4056, -5071?\n\"Answer: -1015*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 + 82*s**2 - 1111*s + 3630 = 0?\nAnswer: 5, 11, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -397490*k**4 - k**3 + 113096*k**2 - 7*k.\nAnswer: -9539760*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 + g**2\/2 + 117*g - 3. Let j be h(0). Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3233.2+15830.1\nAnswer: 12596.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073691985 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 3.9. Let z = -3.1 - -3. Let l = -1.5 - -3.5. Which is the smallest value? (a) l (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 29*p**2 - 3411*p - 53440. Calculate k(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-13) - (-87 - (-1 + 0)). Calculate the greatest common factor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*((-9)\/2)\/3. Suppose -6*s + 30 = -a*s. Let t(u) = -6*u**2 + 6*u + 5. Let k(v) = -7*v**2 + 6*v + 5. Let o(z) = s*k(z) + 6*t(z). Give o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 975, 3935, 8881, 15813, 24731?\n\"Answer: 993*y**2 - 19*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.8 - -30.8. What is the nearest to d in -2\/5, 1, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (0 + -1 + 0 + -1057 + 1053)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 - 5*x + 9. Let i be w(4). Solve -4*f + 9*f = i*z + 15, 4*z + 3*f = 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 90298.6, 0.4, 0, -5 in decreasing order.\nAnswer: 90298.6, 0.4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-38))\/((-3)\/3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/120*2*(-3)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725315361268.999999134 + 725315360573. Let p = j + 696. Round p to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(2) + -4)**2 + (sqrt(288)*2)**2.\nAnswer: -40*sqrt(2) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-9)*299\/(91195\/2562).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1676*t = -1580*t - 468480. Calculate the lowest common multiple of t and 5.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5369 in 0, -0.1, 4, 0.1, 119\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 5*w + 424 - 10*w.\nAnswer: -5*w + 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 - 3*x + 7. Let m(c) = -7*c**2 - 5*c + 14. Suppose 3*t + 3 - 18 = 0. Let z(i) = t*p(i) - 3*m(i). Differentiate z(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 6*i - 8. Let g be b(4). Suppose g = 52*a - 47*a - 55. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36588 = -9*a - 2091. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158380\/31676*(9\/30*31)\/(1\/(-2))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177245487*m**4 + 416*m + 452055 wrt m?\nAnswer: -2126945844*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 291*a - 13. Let t(s) = -581*s + 20. What is 3*t(k) + 5*y(k)?\nAnswer: -288*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -4, 2\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11264\/132 - 15 - (-1)\/(-3) - 7\/(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -19. Let p = b - -18. Suppose p = 2*q + 3*q. Solve -r - 1 - q = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108525*-53.8.\nAnswer: 5838645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a5 (base 11) in base 10?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1*2\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-8))\/(6\/(-8)). Let g(h) = h - 1. Let o(d) = -27*d - 4. Let u(w) = j*g(w) - 2*o(w). Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2688 and 168180?\nAnswer: 37672320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -3 + sqrt(1053)*1 - sqrt(1053) - (sqrt(1053) - -2*(sqrt(1053) + 1)))**2.\nAnswer: 180*sqrt(13) + 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 11 - 12)*(14*f**2 + 32*f**3 - 14*f**2) + (2*f**2 - f + f)*(4*f - f - 2*f) + 6*f**3 - 3*f**2 + 3*f**2 to i + z*f**2 + n*f**3 + k*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 12. Let w be v(-3). Suppose -w*c - 66 = 8*c. Is (-33110)\/c - (-34)\/51 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85792 + -38193. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17113 - 45775 = -18*p + 46192. Calculate the least common multiple of 606 and p.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/25*(5 + 0). Solve -a = 2*c - f, c + 3*f = -2 + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -20 + 2 - -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20249 - 20240. Suppose -4*a + 3 + 5 = 0. Solve s - 3*s + 12 = -a*t, -3*t = x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (15 - (-2 + 18))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.55 and 0.388.\nAnswer: -6.4214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-282548)\/(-2)*143\/286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 214, 213, 212, 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 8*u - 12. Let n(t) = t**3 + 3*t + 5. Calculate 5*f(c) + 12*n(c).\nAnswer: 2*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, r: 9, d: 2}. What is prob of picking 3 r and 1 d?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 32*z - 21. Let m be j(-15). Solve x = 3*o + 5*x + 17, x = 4*o - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13498737.3 * -3.\nAnswer: -40496211.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 30.5. Let o = -9 + y. Let v = 0.5075 - o. What is v rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*t - 2*m, 3 = -5*t - m - 18. Which is the closest to -1\/8? (a) t (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 5*v + 2*v)*(2*v**2 - 2*v + 2*v) + (-v**2 + 2 - 2)*(0*v + 0*v + v) to the form f*v**2 + z*v + x + j*v**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7201.1 + -7204.1. Let d = -22.09 - -22. Let r = -6.91 + d. What is the third biggest value in -0.2, r, -4\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283418710?\nAnswer: 2, 5, 67, 423013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 0.132 (b) -9 (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32931 is divided by 672.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405707 times -27?\nAnswer: -10954089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 3. Let j be (30\/(-20))\/((-3)\/14). Suppose 0 = -j*o - o - 72. What is l(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.797 minus 1?\nAnswer: -7.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 8*i**2 + 16*i - 67. Give z(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saaw when four letters picked without replacement from {w: 1, s: 1, h: 2, a: 2, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -20. Which is the smallest value? (a) q (b) 0.5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -156.62, -2\/9, 0.5, 2\/25, -0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.575982us?\nAnswer: 0.006575982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11000?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 2, 16, 38, 68, 106?\n\"Answer: 4*p**2 - 6*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 59. Suppose -2*w + h = 9. Suppose 2*c - 4 = w. Calculate the lowest common multiple of c and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:43 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -153431?\nAnswer: 613724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -59*n + 5606. Let m be k(95). Let c be ((-2)\/(-5))\/(2\/50). Solve 11*u + m = c*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 + 29*q - 29. What is j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0*v)**(-39)*v**(-4)\/(v**1*v))\/((v\/v**(-1))**(-27)*(v*v**(-2\/7)*v)**41) assuming v is positive.\nAnswer: v**(-702\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 536330198 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 18*c**4 - 107 + 11*c**4 - 2*c**3 - 204 - 27*c**4 to the form l*c**3 + j*c**2 + y + r*c**4 + u*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 5. Let j(l) = 40*l + 70. Let a(z) = -55*g(z) + 4*j(z). Give a(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 58.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -0.4.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11008 - -14448. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 728616*p - 15120. Let f(x) = 9223*x - 192. What is 315*f(j) - 4*m(j)?\nAnswer: -9219*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-2)*((-78)\/(-1380))\/13. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:12 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-1 - (32 - 27 - (3 + 10))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {r: 8, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*k + 4, 2*k = k. Let c(x) = 3 + 2 - 6*x + d*x. What is c(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5 or -9849578?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**3 + 32*j**2 + 0*j**2 + 72 - 84*j + j**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v + 32 + 12*v + 13*v - 36*v. Let z be d(-7). Solve -2 - z = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 2*g, -135*g + 132*g = -4*v + 9. Solve -2*h + h + 4*i + 10 = 0, v = -3*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162728 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 17*q = 5040. Suppose 273 - q = -3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/o)\/(o**(-3\/10)*o*o) assuming o is positive.\nAnswer: o**(-169\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2 - 2)*(7749*u**3 - 13130*u**3 + 6744*u**3) + (-2*u + 2*u + 2*u)*(-5*u + 5*u - u**4) + u**5 + 3*u - 3*u.\nAnswer: 1362*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 24*i + 19. Calculate a(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + 2*k + (-k - 1 + 1)*(-126 - 333 - 76).\nAnswer: 538*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -779 or -795?\nAnswer: -795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 f when three letters picked without replacement from gyfyifsgggggigff?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/40)\/((-447)\/5960*4\/(-6))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 15. Let j be r(7). Is 8 a factor of j\/2*-2 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 3, -351 in ascending order.\nAnswer: -351, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 10. Let w be 3 - (5 + -3)\/((-8)\/4). Solve -r = w*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a day in minutes?\nAnswer: 49680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 = 3*d, d = -0*d + 2*h - 15. Let r = -4 - d. Suppose r*o = 7*o - 3*a - 7, -5*o + 8 = 2*a. Solve -3*t - o*t = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/10 - 67*s**4\/10 + 49*s**3 - 129*s**2 + 1107*s\/10 - 243\/10 = 0. What is s?\nAnswer: 1\/3, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7275217190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 + 118*i**3 + 9*i**3.\nAnswer: 149*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**2 - 72*q**2 + 72*q**3.\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40*(-6)\/10*-2. Let a be (16\/g)\/(14\/12). Let j = 0.397 + 0.003. What is the nearest to 0.12 in 1, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24273, 29318, 43015, 69690, 113669, 179278?\n\"Answer: 721*d**3 - 2*d + 23554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242037306.\nAnswer: 2, 3, 7, 29, 66239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s - 6. Let h = 66 + -61. What are the prime factors of f(h)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 3*z - 3. Let k be n(-2). Let y(t) = t**2 + 11410*t + 4. Let a be y(0). Put -4, -31, a, k in ascending order.\nAnswer: -31, -4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 + -15 + 0\/(-1). Let n(i) = 36*i**3 - i**2 - 3*i + 3. Let k be n(r). What is the highest common factor of 33 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2053187 (base 10) to base 5\nAnswer: -1011200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + 1cc9?\nAnswer: 1ce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*l - 41*l - 271*l + 721*l.\nAnswer: 1152*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-32)*j)\/j*j)\/j*j**24)**14)**(-18) assuming j is positive.\nAnswer: j**2016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - (3 + 39) - -11.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-5 - (-7 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(0 - 3\/9). Let n = o - -135. Let l be (-1)\/2 - (-6)\/n. Which is the closest to 0.1? (a) -0.1 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 7.6 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000662951 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 143201*t**2 + 4*t - 5. Let y be g(-5). Suppose -w + y = -0*w. Round w to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, w: 7}. Give prob of sequence wbw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/12 - c**3 + c**2 + c. Suppose 3*q + 3*a = a - 27, 40 = -4*q - 4*a. Determine k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-22))\/(722\/27797)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418 + 156 = -287*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose -z = n*c + 29, -16 = 4*c + z + 7. Is 72\/(-3)*4\/c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 816*u - 31. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153059400 and 366296.\nAnswer: 1071415800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24774 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -176085514 less than or equal to -176085512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.0628\nAnswer: 0.00628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 187?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -98 (c) -14\/15 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209329162 rounded to 4 decimal places?\nAnswer: 0.2093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-22) + 7\/539*-7*-1689. Solve -17 = j*u - 136*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 193*f + 1738. Calculate n(-7).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -35. Suppose -3*s = f - r, 23 + 25 = 4*s + 2*f. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160358 + -160358.479058. Let l = g + 0.479. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 34.\nAnswer: -100\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 204.8. Is -11 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 151431?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22003.0004 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*w - 14*w + 69*w)*(1 - 1 - 14*w - 2*w) as j + a*w**2 + p*w and give a.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6)*4\/2)\/((-77112)\/1953504)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwppb. What is prob of sequence wwbw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 2. Let k be y(0). Let p(s) = -2*s**2 - 2*s. Let j(t) be the third derivative of -t**4\/24 - 10*t**2 - t. Calculate k*j(h) - p(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 42 - 26 = 0. Let s(x) be the first derivative of 0*x + 3 + 0*x**3 + h*x**2 - 1\/4*x**4. Find the second derivative of s(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2)\/(-4)*8. What is the second derivative of 5*u + 10*u**4 + 9*u**4 - d*u**5 - 19*u**4 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1292992 and 23\/356.\nAnswer: 1292992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 52539588?\nAnswer: 262697940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k\/k**1))\/k))**(3\/35)\/(k**(-4\/3)*k*k\/((k\/k**(-6))\/k)))**32 assuming k is positive.\nAnswer: k**(18208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67552 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199439658 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Suppose -3*j - 2*j - 4*s + 264 = 0, -5*j + 300 = -5*s. Let w(a) = -j*a - 65*a - 17800 + 17800. Calculate w(g(u)).\nAnswer: -242*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -38. Solve -3*m + b = s + 13, -4*s - 12 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 1:18 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 7. What is the remainder when f(8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12e44 (base 16) in base 10?\nAnswer: -77380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212 - 1220?\nAnswer: -111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/40)\/(-7 - (-16 + 6))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**3 - 1043*y**2 - 83*y - 432. What is u(87)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3895 and 43870.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3387*d**3 + 7*d**2 + 7*d - 14. Let l(h) = -1129*h**3 - 2*h**2 - 2*h + 4. Determine -7*l(f) - 2*r(f).\nAnswer: 1129*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 + 121. Let c(a) = -2*a**2 + 7*a + 8. Calculate c(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 5*l**2 - 2*l - 10. Let f be t(-5). Suppose f = -5*m - m. Sort 5, m, -3.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 4*q + 9, 12 = -4*s + 4*q. Let l be (s*2)\/(30\/(-75)). What is the greatest common factor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2802\/5*q - 654267\/5 - 3\/5*q**2 = 0.\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2 + 588*o - 1746 = 0.\nAnswer: 3, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**9\/68040 + r**8\/3780 - r**7\/630 + r**5\/20 + 3*r**4\/8 - 3*r**2. Let v(s) be the second derivative of x(s). Factor v(p).\nAnswer: -2*(p - 3)**3*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107812*s**3*z**3 - 16782*s**3 wrt z?\nAnswer: 323436*s**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 274 = 621 + 36. Let f = -32 + 29. Sort r, f, 0.\nAnswer: f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*u = -2, 66 = a + 4*u + 73 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 319. Suppose o - 2*o + 6 = 0. Let u = 6 - o. Is q(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3322032 (base 4) to base 3\nAnswer: 210222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 299\/6 - (-159)\/((-147870)\/775)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.9. Let n = -3.776 + 2.776. What is the closest to p in -5, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -38, 0.1, -1\/7, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**(-21) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101111010101001001000 + 1110?\nAnswer: -110101111010101000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 600*d**2 - 47452*d + 725. Calculate q(365).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*g + 3*s = 3, 20 = -5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 0*y**3 - y**3 - 4*y**2 + 1 to the form f*y**3 + j + g*y + c*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 87, 95 in increasing order.\nAnswer: -5, 21, 87, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/24152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 22 = -5*s. Let b = -33 + 38. Suppose a - 12 = b*a. Sort s, 1, a in decreasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 - 7*l - 3. Suppose 3*o + 20 = t, 5*o + 2*t + 24 = -t. Let q be -6*9\/o + 1. Is f(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169560503 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 20*h - 103. Let x be u(-7). Let b be 2 - (5 + -3 - 43). What is the highest common factor of b and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3320440 divided by -152\nAnswer: -21845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23603*t**4 + 504*t**2 - 70 - 3*t - 23602*t**4 + 70 to a*t**4 + u*t**2 + r*t**3 + o + p*t and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by (-1648)\/(-64) + (-12)\/(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**1)\/c)\/(c*((c*c**(-5)*c)\/c)\/c))\/(c**1\/c*c\/(c\/c**(-1\/4))) assuming c is positive.\nAnswer: c**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(102) + -5*(2*sqrt(102) + sqrt(102)))\/(sqrt(726) - (sqrt(726) + (sqrt(726) - (sqrt(726) - 4*sqrt(726))) + sqrt(726))).\nAnswer: -1 + 14*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 21. Let z(s) = s + 6. Let n be z(-6). Suppose -4 = -r + 4. Solve -5*b - r + k = n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -423 (c) 10 (d) 2 (e) -5\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + sqrt(128))*5 - (sqrt(8)\/sqrt(36) - sqrt(2)*1*-6))**2.\nAnswer: 51842\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let l(s) = 239907*s + 23 - 3 - 719718*s + 239908*s + 239907*s. Let c be -2 - 1\/(2\/(-10)). Suppose 2*z = c*z + 20. What is z*y(m) + l(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70606756 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2)*g*g))**(-45\/2)\/(((g\/(g**(-2\/3)*g))\/g*g)\/g)**(-1\/9) assuming g is positive.\nAnswer: g**(-1217\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**5 + 740*a**3 - 962*a**2 - 3122889*a wrt a.\nAnswer: 60*a**3 + 4440*a - 1924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45595133.\nAnswer: 1571, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -6484\/1391 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179992939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) + -2*sqrt(7)) - (sqrt(13) + -2 + 5)) + -3.\nAnswer: -2*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265046861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 40 = 30. What is l in -17 + 9*l**5 + 84*l - 42*l**4 - 29 + 114*l**f - 93*l**3 - 26 = 0?\nAnswer: -2, -1, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 4*j + 4. Let t be m(4). Suppose 2 = -y, -t*l - 4*y = l + 8. Factor -1\/3*k**4 + 2\/3*k**2 + l*k**3 - 1\/3 + 0*k.\nAnswer: -(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + 2 - (60 + -54)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204226 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - p = 13, 3*q + 3*p = 5*q - 13. Let o = 28 + 5. Sort o, 5, q, 3 in ascending order.\nAnswer: q, 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -73. Solve -h*f + 18 = -5*o - 3*f, -o - 22 = -5*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -514, -571, -726, -1027, -1522, -2259?\n\"Answer: -8*r**3 - r**2 + 2*r - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2338*m - 2*h = -2336*m - 32, -h = -14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 - v + 4. Suppose 2*t + 0*t = 0. Let x be u(t). Let k(r) = -r + 1. Let y be k(-4). Which is the nearest to 0? (a) x (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*2)\/((-4)\/(-6)). Let j = 9 + q. Let y = j + 11. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 - 3*q**2 - 8. Let p be m(-4). Let g = p + 249. What is the least common multiple of 140 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15674, 31352, 47030, 62708, 78386?\n\"Answer: 15678*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 24. Let d be s(19). Suppose 2*n = -d*j + 15, n + 2*n - 5*j - 10 = 0. What is the greatest common divisor of n and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32714 + 32714.4. Let w = -0.9 + 0.7. Let y = 0.1 + w. Which is the nearest to 0.1? (a) t (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2028513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 58. Suppose 3*t + 29 = -o, -4*t + 18*o - 27 = 17*o. Let s be w(t). Solve 5*p - 3*d = 11, -s = 3*d - 5*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(128))**2 + 2 + sqrt(16)\/(sqrt(200)*-5))*3.\nAnswer: -3*sqrt(2)\/25 + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335629*x + 86181*x - 364413*x + 130565*x.\nAnswer: -483296*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40c1 (base 13) in base 10?\nAnswer: 8945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5649\/2 + -14162\/5. Find the common denominator of 43\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 71 = -u, 0*u - u + 63 = -4*z. Suppose -3*p - 3*a + 63 = 0, -u = -3*p - 2*a + 3*a. Solve 0 = 4*o + o - p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3368 - 532. Round j to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*c - 3*m - 7, 3*m + 22 = -5*c. Suppose 3*b + b = 16, 4*b = 4*t + 48. Sort c, t, -2, 5 in descending order.\nAnswer: 5, -2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - 5*r**2 - 8*r + 19. Is l(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 - 4*r**2 + 6*r + 2. Let f(b) = -5*b**3 - 3*b**2 + 5*b + 3. Let i(q) = 5*f(q) - 4*h(q). What are the prime factors of i(-5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 20. Let r be (18\/(-8) - -3)*i. What is the nearest to 2 in 5, r, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110496*l - 112466*l - 15323 - 21066 - 3011 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91817.97 decades to months.\nAnswer: 11018156.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -5*n**6\/6 - n**5\/5 + 19*n**3\/3 + 3*n - 424. Find the third derivative of s(c) wrt c.\nAnswer: -300*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 5*t + 2*t**2 - 4*t. Suppose 5*j - 29 = 3*r, -2*r + 3 = j + 5. Let p(w) = 0 + w - 4 + j. Give k(p(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 172078, 344085, 516092, 688099, 860106?\n\"Answer: 172007*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 8*t + 264 = 0. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222116?\nAnswer: 2, 55529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5982*q**2 + 63*q**3 + 671*q**2 + 56*q**4 + q**4 - 46*q**3 wrt q?\nAnswer: 1368*q + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682811 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -281 - 1?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137687*j = -137688*j + 5*q + 22, j - q + 33 = 3*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -27 + 89*j**3 - 15 - 2*j**2 + 24*j + 77*j**3 + 17*j**3. What are the prime factors of n(2)?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1860 - 1859.5. Let i = -0.01 + 0. Let q = 0.3 + 0.1. Which is the nearest to -1? (a) i (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**4 + d**2 + 3*d - 1. Let p(s) = -12*s**4 - s**2 - 6*s + 198. Let w(l) = -p(l) - r(l). Differentiate w(m) with respect to m.\nAnswer: 52*m**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by 6\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 618*k + 740. Does 14 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = -3*o. Let f(t) = -3*t - 20. Let b(s) = -16*s - 127. Let h(a) = 3*b(a) - 19*f(a). Give h(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -1, 7, -1.03, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 9*r + 11*r = 0. Let b = 2 + -1. Let a be (-114)\/(-30) + b\/5. Solve a*w - 4 + r = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzt when three letters picked without replacement from {z: 2, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13643 and -3992.\nAnswer: 54462856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2118 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 8. Suppose 85 = v*q - 0*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvvq when four letters picked without replacement from {v: 4, q: 2, d: 1, u: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a factor of 113607378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67719411 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 6 = 46. Find the third derivative of 29*l - 61*l**3 + 1 - 64*l**a - 1 - 30*l wrt l.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (1 + -1)) + (155 - 3). Let b = f + -20. Calculate the highest common divisor of b and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/9 + 222*w**4 + 39334*w**3\/3 - 1570982*w**2\/9 - 212780*w + 374000 = 0. What is w?\nAnswer: -935, -75, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284296265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1326, -0.7, 0.06, -535?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/11, 30, -7\/9, -1.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/84 + (-13)\/91. Let i(v) = v**3 + 5*v**2 - 7*v - 9. Let s be i(-6). Let k be 2\/s*6\/10. Which is the second smallest value? (a) k (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1011035 - -29?\nAnswer: -1011006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**3 - 18*y**6 + 9*y**2 - y**3 + 10*y**6 wrt y?\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 87*t + 1. Let z(k) = 346*k + 11. Let m(a) = -12*l(a) + 3*z(a). Determine m(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-25))**13)**(22\/3) assuming p is positive.\nAnswer: p**(-7150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 27, 70, 131, 210, 307, 422?\n\"Answer: 9*r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 149\/5. Suppose 16 = 5*w + r, -18 + 32 = w + 2*r. Sort 1, -13, t, w in descending order.\nAnswer: w, 1, t, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13114 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-15))\/((-2)\/(-10)). Suppose 0 = 3*y + q*c - 283, -4*y + 2*c = -2*y - 172. Calculate the highest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.9*-0.06.\nAnswer: 0.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -194, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 432718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 36*s**2 - 51*s - 453. What is the thousands digit of n(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/5)*h)\/h**(-1))\/(h\/(h\/(h**(-5)*h))*(h**2*h)\/h)*(h**0)**(1\/26)\/(h**1)**(-3\/43) assuming h is positive.\nAnswer: h**(961\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4684034?\nAnswer: 2, 53, 44189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 46. Suppose 0 = 5*s - n*h - 1210, 2*s - 432 = 4*h + 46. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51568 is divided by 6529?\nAnswer: 5865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 3. Calculate the greatest common divisor of f and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7046258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u**2 - 241*u + 1. Give v(-30).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/7 + 14\/(-49) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -19*j + 1. Let k(i) = 40*i - 2. Let z(d) = -4*k(d) - 9*x(d). Give z(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 - 4*i**4 - 24*i**3 + 16*i**2 + 32*i.\nAnswer: 4*i*(i - 2)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 4, y: 1, m: 5, c: 5, a: 3}. What is prob of picking 1 q, 1 m, 1 x, and 1 c?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57\/4 - 397\/28. Let f = -1\/2816 + 11441\/2816. Find the common denominator of x and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.1, -15, 0.4, -2, -0.8 in ascending order.\nAnswer: -15, -2, -3\/2, -0.8, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p**(-5)*p))\/p**(-2)*p**(-4)*p*p**(1\/7) assuming p is positive.\nAnswer: p**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/7 and 11\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + -42 + 43 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496*p - 383*p - 284*p - 401*p - 232*p.\nAnswer: 196*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200517120 and 6720?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 23 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -83. Suppose 2*a = b - a - 124, -h*b + 452 = -a. Suppose -5*z = -4*x - 641, -b = -4*z + x + 403. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11291, 11152, 11013?\n\"Answer: -139*w + 11430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 488727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/113 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220137913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (0 + 5 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-2 + (1 + sqrt(1539) + -1 - sqrt(1539)))*-1 + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 7*t - 8*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 30. Calculate the smallest common multiple of 50 and 2\/(-1) - i - 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231.584 litres in millilitres?\nAnswer: 3231584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -728*d - 864 + 3048 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2249*z + 22495. Let w be n(-10). Let s be 1*(1 - 1)\/2. Solve -l + w*m + 3 = s, 2 = -2*l - 5*m - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3151 + 3153. Sort a, 5, 0.74, -18 in increasing order.\nAnswer: -18, 0.74, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 6674\/399?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1033016 and 1\/12?\nAnswer: 3099048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 0*t**4 + 0*t**4)*(3*t + 4 - 4) + 3 + t**5 - 3 + 7*t**5 + 0*t**5 + 0*t**5 - 5*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9972, 5 in increasing order.\nAnswer: 4, 5, 9972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1321640366 + 3?\nAnswer: 1321640402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + g**3 + 3*g - 15*g - 30683.\nAnswer: g**3 - 30683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5036 is divided by 108?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 2*j - 3. Let f(m) = 2*m**2 + 4*m + 5. Let s(l) = 6*f(l) + 10*u(l). Let k be s(-2). Let y = 0.3 - 0.5. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 5*c = -10*w + 22, -4*w + c + 2 = 0. Let o(l) = -l**2 + 7*l - 10. Calculate o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/120 + 7*p**3\/3 + 10*p**2. Let y(d) be the first derivative of f(d). Let m(u) = 9*u**2. Determine m(y(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 (base 11) in base 3?\nAnswer: -2002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.08.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -245 + 243. What is the tens digit of (-11)\/44 + (-3826)\/16*a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.75 to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 10*i + 8. What is the tens digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 233225.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/3 + m**3\/6 + 3*m**2\/2 + 2*m - 10. Let o(b) = 2*b**2 - b - 2. What is -5*o(a) - 3*x(a)?\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -24230. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -5\/6*w**6 + 14\/5*w**5 - w**2 + 0*w**4 + 142 - 52*w + 0*w**3. What is the second derivative of h(p) wrt p?\nAnswer: -100*p**3 + 168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:29 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12351 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.66, -0.4, 46?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 19. Let h be u(14). Suppose -2*m + 77 = -4*m + 3*v, -v + 199 = -h*m. Let p be m\/(-25) - 4\/(-10). Let l(o) = o**2 - o. Determine l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -75, -0.032?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -627*g - 39354 - 1151 + 8528 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 5*v - 3. Let c be g(8). Suppose -c + 1 = -5*w. Suppose -w*b - b = -95. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 530.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tppu when four letters picked without replacement from uuputuuppppuutp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 47*o - 8636 = -5*g, 4*o = g + 34544. List the prime factors of o.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4250, 5 in decreasing order.\nAnswer: 4250, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 4 + 8)*(50 - 786 - 547)*(-m + 3*m + 0*m) to the form y*m + i and give y.\nAnswer: -56452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 - 38962*f - 379509361 = 0?\nAnswer: -19481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(40\/(-4)))\/(41\/82).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.62 + -0.38. Let s = 16.0051 + i. Round s to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 9. Let z be q(6). Let j be 3\/(-4) + (-285)\/20. Let b = 22 + j. Solve 3*g + 5*f + b = 0, -g = -2*f + 7*f + z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n*n**4)**9\/((n*n\/n**(-2\/9)*n**(-1\/9)\/n)\/(n**(-2\/5))**(-2\/13)) assuming n is positive.\nAnswer: n**(46157\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/8)\/(m**(-2\/3)\/m) assuming m is positive.\nAnswer: m**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -252, 19, -4, -2 in increasing order.\nAnswer: -252, -4, -2, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 100*x**2 - 2305*x + 127. Determine b(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 65*l + 74 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74638125.\nAnswer: 3, 5, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -471 + 241 + 1241*b + 230 + 1555*b to the form q*b + y and give q.\nAnswer: 2796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/279, 3\/11, -1, 2\/21, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.42399 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10442055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -12\/157, 459, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w**3 + 16*w. Let b(i) = -12*i**3 - 17*i. Let f be 5*8\/(-12) - 1\/(-3). Let d(q) = f*v(q) - 2*b(q). What is the second derivative of d(u) wrt u?\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 13*x**6\/120 - 2*x**3\/3 - 5*x**2\/2 - 11*x. Let g(n) be the first derivative of q(n). What is the derivative of g(s) wrt s?\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g + 0*g**2 + 2 + 5\/3*g**3 + 0*g**4 + 0*g**5 - 7\/6*g**6. Find the third derivative of c(f) wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 3*d**4 + 4*d**4 + (-2*d + 0 + 0)*(-d**3 + d**3 - d**3) + (-3*d**3 - d**3 + 3*d**3)*(3*d - 2*d + 3*d) - 4*d**4 + 5*d**4 - 3*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = 3*c. What is the remainder when c is divided by (3 - 5)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4504404, 9008855, 13513306, 18017757?\n\"Answer: 4504451*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 1 - ((-105 - -10) + 70)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 155*l - 7 = -151*l, 4*g - 4*l = 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-15))\/((-3)\/10). Suppose 4*r - 96 = -p*k, -k + 2*r + 0*r + 12 = 0. Calculate the smallest common multiple of 3*3*(-2)\/(-9) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4247, 5882, 7517, 9152, 10787, 12422?\nAnswer: 14057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:49 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128335 is divided by 930?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1872, -3349, -4826, -6303, -7780?\nAnswer: -9257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17904, -34404, -50904, -67404, -83904?\nAnswer: -100404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*r + 0*r + 7*r)*(0 + 1 - 2) - r + 0 + 0)*(6 - 6 - r) to a*r**2 + q + d*r and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, p: 2, e: 2}. What is prob of picking 1 i and 1 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91665 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 5*x + 2. Let p be d(-5). Suppose 4*r - 2*r + p*t = -8600, -2*r + 3*t = 8600. What is r rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 3\/8 (c) -0.1 (d) -6\/19 (e) -7 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 6353349.\nAnswer: 6353349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 472 - -1625?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*m**4 - 18*a*m**3 - 21*a + m**3 - 10*m + 2 wrt m.\nAnswer: -24*a*m**2 - 108*a*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -877839, -877860, -877895, -877944, -878007?\n\"Answer: -7*g**2 - 877832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 12 + (-18 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 51 - 51 + (-3 + 1 + 1)*(2 - 2 + 2*j) - j + 0*j + 2*j - 2*j - 1 + 1 to l + u*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from accccacccacccccacccc. What is prob of picking 3 a and 1 c?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*3\/45*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 22. Is c less than -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**4 - f**3 - f + 2. Let u(v) = 7*v**4 - 128*v**3 - 5156*v**2 + 5*v - 10. Let n(b) = -u(b) - 5*x(b). What is the third derivative of n(y) wrt y?\nAnswer: -48*y + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -23*c**4 - 93*c**3 - 70*c**2 + 8*c. Let d(g) = -45*g**4 - 186*g**3 - 139*g**2 + 16*g. Let y(b) = 4*d(b) - 7*s(b). Factor y(j).\nAnswer: -j*(j + 1)*(j + 4)*(19*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.97 - 1.27. Let w = p + -2.7. Let b = -1.1 + 1. What is the second smallest value in b, w, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1350*v**2 + v - 193. List the prime factors of x(-6).\nAnswer: 29, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4. Let b be u(-2). Let s(g) = g**2 + 3*g + 3. Let f be s(-3). Suppose 2 = 2*c - b*r, 6*r = 2*c + f*r. Solve 0 = -c*p - 5 - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/173 - -390\/1903. Let h = 0.1 - 0.2. Which is the third biggest value? (a) h (b) u (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.14, -5, 30, -12.9?\nAnswer: -2.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0.81 (c) 1\/5 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**5 - 5*q**2 - 45*q + 45. Let g(v) = -127*v + 4 - 5 + 128*v. Let k(t) = 90*g(t) + 2*x(t). Find the third derivative of k(u) wrt u.\nAnswer: 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 108. Suppose -m*f - v + 21 = 0, -5*f + 9*f - 5*v = 63. Solve k + 4*b - 12 = -0*b, 5*k + 2*b = -f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/30 - 82\/820 - 1\/(-6). Solve -9 = 4*s - p, -f*s - 4*p = -p + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 29013000 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 116000 to the nearest one thousand.\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14559.813 rounded to the nearest one hundred?\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 4*p = 16, 0 = 4*n - 3*p + 7. Let y be (1120\/n)\/(2\/(-15)). What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/11*(-4*(-55)\/(-132))\/5?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 14*((-2)\/(-4) + 1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*r = 9*r + 29, -5*i - 5*r - 25 = 0. Calculate the remainder when 246 is divided by (i\/40)\/((-2)\/130).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2500))\/(sqrt(180)*-2).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.2067 and 0.179.\nAnswer: 3.4379993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - m - 16 = 6, k - 4*m - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653516 is divided by 221?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 7*i + 133 = 111 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 2) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50060.\nAnswer: 2, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33.81 times -0.4\nAnswer: -13.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 13}. Give prob of picking 1 n and 3 d.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/4 - 2\/(-8). Let l(o) = 9*o + 15. Let t(c) = 9*c + 1. Let w(v) = 23*v + 10. Let q(u) = -2*t(u) + w(u). Calculate g*q(i) + 4*l(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -328*l + 337*l - 6*l**2 - 67578 + 67577. Suppose h + 26 = 5*o, 5*h - 5*o + 40 + 10 = 0. Let i(m) = 5*m**2 - 8*m + 1. Determine h*n(a) - 7*i(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 11) + (-18 - (21 + -23))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 33 + 8 = -3*m, 14 = 2*m - 2*l. Suppose -14*b = -m*b - 5. Solve 2*d - 3 = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 521 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**3 - 8*j**2 + j + 6. Suppose 3*s = -5*t + 35, 3*s - 28 = -4*t - 0*t. Let n(r) = 9*r**3 - 9*r**2 + r + 7. What is t*y(l) - 6*n(l)?\nAnswer: 2*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -706 + 706. Suppose 3*b - 91 = -p, 2*b - 79 = -2*p - 25. Suppose b*w - 35*w + 30 = c. Solve 5*f = -5*x + w, x + 2 = 2*x - 2*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)\/(t\/(t**(-4\/7)*t)))\/(t\/(t*t**(1\/3)\/t*t))**(-12))\/(t**(-2)\/t*t*t*t**3)**(2\/9) assuming t is positive.\nAnswer: t**(-695\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 194239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.151 from 135.59.\nAnswer: 135.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1273 or 0?\nAnswer: -1\/1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54*3*2\/9. What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 11*p**4\/12 + p**3\/3 - 1999*p. Let g(s) = s**2. Calculate -4*g(h) + z(h).\nAnswer: 7*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100606 and 183996.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"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: Solve 1 = 17*u - 18*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 17*t + 4. Let n = 44 - 27. Let r be b(n). Is 762*4\/32*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 22*c**3 - 8 + 21*c**3 + 5 - 2*c**2. Let r be 1*1\/(2\/(-6)). Calculate b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 1061*y**2 - 110*y**2 - 836*y**2 - 113*y**2 + 0*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1972 and 3.\nAnswer: 0.5916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/120 - y**5\/12 + y**4\/24 + y**3\/2 - y**2. Suppose 14*t = 156 - 86. Determine x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -1\/9 (c) 4 (d) -37\/1401 (e) 0.03 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15258054 and 0.24.\nAnswer: 0.08741946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40076.7l to millilitres.\nAnswer: 40076700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 354, 1274, 3076, 6054, 10502?\nAnswer: 16714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(16\/(-84)) + (-1 - 2). Suppose 13535 = -d*s + 23*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1399.805851 - 2.301149. Let g = 1401 + q. Round g to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 4.83441.\nAnswer: -0.1450323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*h**3*j**5 - 2*h**3*j**2 - 62*h**3*j - h**2 - 28*h*j**6 + 3*h*j**2 wrt j?\nAnswer: 1980*h**3*j**2 - 3360*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 4. Let j(l) = 10*l + 12. Let m(v) = -2*j(v) + 7*q(v). Let k = 4 - 4. Suppose 2*i - 3*o + 19 + 1 = k, 16 = -5*i - o. Determine m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-49))\/((-3)\/(-21)). Suppose g - t*g = -34. Is 16 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 4578525?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 21*x - 11*x. Suppose l + x - 49 = 0. Calculate the highest common divisor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 39. Solve -3*k - 5*v - 32 = 0, v - 4 = x*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012222 - 211?\nAnswer: -111020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 4*v, -6*j + 2*j = 2*v - 2. Suppose 5*o - 20 = 5. Suppose 4*a - o*a = 12. Calculate the common denominator of v and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*c - 876*c = 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {v: 3, c: 6, t: 6, x: 1, e: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25444, 25439, 25424, 25393, 25340, 25259?\n\"Answer: -b**3 + b**2 - b + 25445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93515 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 3*r, -3*r - 2 = -2*r - 3*b. Suppose 4 = 2*p - r. Suppose -p*f = f - 335. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826950 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, 0.1, 0.2, 0 in increasing order.\nAnswer: -24, -4, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1*sqrt(342))\/sqrt(9))\/sqrt(2))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45496.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/36163383 and 73\/43131?\nAnswer: 397797213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/3)*l*l**(-2)\/l*l)**(-1\/18) assuming l is positive.\nAnswer: l**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -5*w**2\/2 - 1125. Let m(j) = 103*j. What is o(m(v))?\nAnswer: -515*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58127595 divided by 5\nAnswer: 11625519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*y**4 + 109*y**4 - 28*y**2 + 103*y**4 wrt y.\nAnswer: 2976*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -w. Suppose 3 = -p + w. Let u = p - 2. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*c - 29*c - 2357 - 737 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989 a factor of 583889380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + 1 + -208 + 198\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9493.308 centimeters to kilometers.\nAnswer: 0.09493308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37914446\/97383 - -2\/97383. Which is bigger: s or 389?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 211750, 211770, 211792, 211816, 211842?\n\"Answer: v**2 + 17*v + 211732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3166983\nAnswer: -5\/3166983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 14. What is a(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 5\/27, 0.18, 3, -1\/4, 0.01, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20114*y**3 - 33*y**2 + 11. Let h(u) = -6705*u**3 - 12*u**2 + 4. Calculate 11*h(a) - 4*k(a).\nAnswer: 6701*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 + 7*s**3 + 4*s**3 - 18*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3 + (-14)\/(-4)). Let i be (-6 - -8) + 2*s. Solve -i = 2*j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -5, -3 in descending order.\nAnswer: 110, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975351802?\nAnswer: 2, 43, 22969207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 423154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 635*s - 12. Let g(p) = p**2 - 3*p - 5. Let z be g(5). Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-999*g**2 - 210*g**2 - 1000*g**2)*(-3 + 1 - g - g).\nAnswer: 4418*g**3 + 4418*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and -801629331.35524?\nAnswer: 801629330.75524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28097 is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 2. Suppose 0 = 5*b + 3*c + 15 - 3, 8 = -5*b - 2*c. Let p = b - 2. Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/63 and -71\/2943.\nAnswer: 20601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 + 3*y - 4. Let b be q(-4). Let a be (-3 - b)\/3*-5. Suppose -a*z = 3*j - 129, j + 0*z + z = 41. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.499 - 0.099. Let p(o) = o**2 + o - 1. Let j be p(2). Let m = 6.09 - 0.09. What is the nearest to m in z, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4500*d - 4914*d + 9414*d - 86*d**3 + d**2.\nAnswer: -86*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 423.772 and -2?\nAnswer: 425.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + t - 8*t + 40*t in the form z + u*t and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -36, 28, -596 in ascending order.\nAnswer: -596, -36, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y + 127. Let s(o) = 12*o - 126. Determine 3*j(l) + 2*s(l).\nAnswer: -3*l + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = -5. Suppose 5*i - 5 - 5 = 0. Let d(r) = 5*r - 1 + r + r - r**i. What is d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15*o**3 - 10*o**3 + 0 - 1.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 7*u + 4. Let z be i(-6). Let d = -9\/5 + 83\/35. Sort -5, -3\/5, d, z in ascending order.\nAnswer: -5, z, -3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 3 (c) -0.2 (d) -4 (e) -53346 (f) -3 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*l**2 - 4*l**2 + 9*l + 4*l**2 + 13*l**2 wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 70*m + 423. Let k be q(-6). Let x(a) be the third derivative of -3*a**2 + 0*a + 2\/3*a**k + 1\/15*a**5 + 1\/3*a**4 + 0. Factor x(f).\nAnswer: 4*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 28. Let a be (-1)\/(4 + 39\/(-10)). Let z be f\/(-5) + (-6)\/a. What is the highest common factor of z and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128211, 128210, 128209, 128208, 128207?\nAnswer: 128206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 350*k - 362*k. Sort k, -5, 3, 2.\nAnswer: -5, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21834)\/(3\/(-8)*-2). Let z be -4 + 1\/((-3)\/v). Round z to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44156 + 3.\nAnswer: 44159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 - -8*1. Let t = -6 + p. Suppose t*c - 6*c + 12 = 0. Solve 4*u + c*g - 18 = 14, -u + 2 = -g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 5*h**2 + 23*h - 47. Determine k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 77 + (5 - 4)*-2. Calculate the greatest common factor of 50 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0921 + 3.\nAnswer: 3.0921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**2 + 26462*h + 1278015 wrt h.\nAnswer: -6*h + 26462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 44. Let l(t) = -16*t**3 + 4*t**2 + 35*t - 36. Let p(y) = 3*y**3 - y**2 - 7*y + 7. Let q(s) = b*p(s) + 2*l(s). Give q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i*i**(-2))))**(-20))**50 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9773 + -9769. Let p be (4\/100)\/((-4)\/70). Let o = 1\/10 - p. Which is the biggest value? (a) 3 (b) -0.5 (c) o (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a minute in seconds?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 + -254. Let o = -161.101 + j. What is o rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*z - 2 + 3 - 1 - 37*z as w + b*z and give b.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*v + 21, 2*y - 22*v = -18*v + 14. What is the highest common divisor of 175 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 1\/18 (c) 2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 265*r**3 - 26*r**3 + 40 - 8.\nAnswer: 239*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + -2 + (1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 40\/(-15). What are the prime factors of (c - (-30)\/9) + 2470\/6?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*0.55199.\nAnswer: -0.607189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 2*l - 4. Let t be u(3). Let s(d) = -d**2 + 9*d - 6. Let c be s(t). Let p(g) = 2*g + 2. Does 4 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198418393 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t + 4. Let u = -25 - -23. Let j(p) = 3*p - 1. Let c(d) = -d - 3. Let n be c(4). Give n*j(m) + u*l(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 439789787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 657 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, -2\/5, 4, 421\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 3*r, -10 = r + 5*g - 0. Solve 4*b + 16 = -r*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -408 in descending order.\nAnswer: 1, -0.1, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0856 - -0.0056. Put w, 1\/3, -2\/39 in increasing order.\nAnswer: w, -2\/39, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 11*r - 2. Let h be l(2). Which is bigger: h or -1\/1744?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340895 divided by -29.\nAnswer: 11755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from mempeeeeeeeve?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let p = 5 - z. Let l be (6\/(-20))\/((-6)\/(-8)). What is the closest to -2 in p, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20874 - 918407\/44. Calculate the common denominator of a and 67\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 388*j**5 - 3*j**3 + 670*j**2?\nAnswer: 23280*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*x - 6, -5*x + 15 - 37 = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 19*z**2 + z. Suppose 173*y - 2*n = 176*y - 30, -4*y = -4*n - 60. Calculate the remainder when t(-2) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(7\/4)*f)\/f*f**5)\/(f**1)**(-2\/159)*(((f**(1\/3)*f)\/f)\/((f**(-5)\/f)\/f))\/(f**(1\/4))**(-3) assuming f is positive.\nAnswer: f**(1963\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1\/((-5)\/(-4059)))\/(6\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1701\/(-45))\/(1\/(-55)). Suppose 0 = 5*u - s - 1091. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:09 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 228333848?\nAnswer: 1\/114166924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x + 216 = 0. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11461 is divided by 5669?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84928382*u**3 - u - 84928441*u**3 + u - 1.\nAnswer: -59*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**4*t + 4*d**3*j*t - 4*d**2*j - d*j*t + 4*d*j - 20 wrt d?\nAnswer: -12*d**2*t + 24*d*j*t - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 5*q + 83. Give i(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 38*s + 0*s**2 - 133\/6*s**3 - 59\/6*s**4 + 0. What is the second derivative of l(x) wrt x?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278275335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 33 = y + 3, 2*d = 4*y - 190. Let h = -24 + y. Suppose -h = -2*a + 3*j, 3*j = 4*a - 20 - 37. Calculate the least common multiple of 16 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*k**5*w - 2*k**4*w + 4*k**3*w + 3*k**2*w + 25*k*w wrt k.\nAnswer: -720*k**2*w - 48*k*w + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-10))\/(w\/((((w*w\/w**1)\/w)\/w)\/w))*w*w**(-11)*w*w\/(w*w*w\/w**(1\/8)*w))**(21\/5) assuming w is positive.\nAnswer: w**(-735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1 + 16 = i, 87*s - 89*s + 7 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-14)*(2 - -5). Suppose 5*p - 71 = -21. Let d = x - p. Put d, -5, -1 in descending order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175) + sqrt(175) - sqrt(175)) + 3)**2.\nAnswer: 20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 16*k - 43)*(3*k + 2*k - 3*k)*(4 + 0 - 3).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.92 * -0.066.\nAnswer: -6.33072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 = 137*u + 4204 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9724 = -179*f + 247*f. What is the remainder when 323 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = -3. Let b be v\/(-2)*(-12)\/9. Factor 1\/2*t + 1\/4*t**b + 0.\nAnswer: t*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/5)\/x))**(27\/7))**(-2\/29) assuming x is positive.\nAnswer: x**(-432\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyehejyjbsj. Give prob of picking 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.5*9345.\nAnswer: 471922.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 12) to base 5.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/11)*s*(s*s**(10\/13))\/s*s*s assuming s is positive.\nAnswer: s**(500\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-20))\/(1 + 1). Let i = 38293 - 38292. Is i at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.5 (c) -285 (d) 2\/13 (e) -0.3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683100*p - 573624*p - 2924343*p.\nAnswer: -2814867*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 201.88+23817.09303\nAnswer: 24018.97303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**4 + 1 - 2862*p**3 + 32*p**4 + 1432*p**3 - p**2 + 1432*p**3 to the form l*p**3 + m*p + r*p**4 + j*p**2 + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**3 - 3*i**2 + 1. Let z be d(-1). Let f(l) = 46*l - 5. Let h(n) = 45*n - 6. Let c(w) = z*h(w) - 2*f(w). Is c(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - (-2)\/2). Suppose -l*g - 2*g = 5*j + 16, 0 = -2*j + 5*g + 20. Put j, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 - -574\/3. Let p = -0.08 - -0.08. Which is the closest to z? (a) -0.1 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(-63)\/14. Let h(j) be the first derivative of -j**2 + 0*j**4 + 1\/5*j**5 + 0*j**3 + 0*j + t. Find the second derivative of h(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46365121 and 0.2?\nAnswer: 9273024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + o - 3. Let v be x(5). Suppose -3*n = -v*n - 10. What is the remainder when (-6 + 1)*(-4)\/n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f**2 + 5*f**2 - 9 + f. Let x(t) = 0*t**3 + 13*t - t**3 + 21*t**2 + 0 - 12 - 10*t**2. Let z be x(12). Give h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65888 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n - 20 + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160926.8ml to litres.\nAnswer: 160.9268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let b be l(-1). Let r be -2 + (b - -2) + -3. Does -2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/20)\/((-432)\/128). Which is the second biggest value? (a) -1 (b) w (c) 4.3 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 + 146.541. Let u = -0.041 + n. Let h = 0 + -0.01. Which is the smallest value? (a) h (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1839272 and -2.3.\nAnswer: 4230325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 238a307c?\nAnswer: -238a3082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 8:10 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182*i + 982*i - 255*i - 26*i + 874*i)*(-142*i**2 + 11*i**3 + 142*i**2) to r*i**3 + v + c*i**4 + n*i + l*i**2 and give c.\nAnswer: 15323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = 5*n - 37, 4*n + p - 31 = 0. Solve 5*j + 2 = -n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3224 - -3449. What is the greatest common divisor of k and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/672 - 19*q**7\/420 - 7*q**6\/48 - 17*q**5\/120 - 3553*q**2 - 2. Suppose k(f) = 0. What is f?\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 42\/(-15))*5. Suppose -2*u - 15 = 3*b - 2, c*u + 3*b + 23 = 0. Suppose 0*s = -s - 4. Is s greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15 and 2.203?\nAnswer: -0.33045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-6)*4920\/626 + (-16 - -20) and -46\/11.\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:21 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17507*w**2 - 9417*w**2 - 8169*w**2 - 9*w.\nAnswer: -79*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223, 758, 1595, 2734, 4175, 5918?\n\"Answer: 151*t**2 + 82*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3199*r + 8420*r - 2 + 7698*r.\nAnswer: 19317*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-1 + 80))*(-2)\/4. Let g = -28 + j. Let w(s) = -s**3 + 11*s**2 - 2*s + 25. Let z be w(g). Solve 0 - 41 = -5*m - 4*l, 2*m - z*l = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 70)\/4 + 148\/16.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:52 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74018 and 952?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1958, -24 in decreasing order.\nAnswer: 1958, -0.3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.1. Which is the second smallest value? (a) 3 (b) 3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6253534.\nAnswer: 2, 7, 421, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055859487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 - 196. Suppose b = -6*n + 4050 + 2280. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4590 + 632 - 224 = 147*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 7*j - 5. Let r be b(-5). Suppose -130 = -n + r*s, n - 305 = -n + s. What is the highest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -3. Let u(z) = z**2 - 7*z + 6. Suppose 0 = -2*r - 10, -h - r = 3*h - 19. Let o be u(h). Which is the nearest to o? (a) 0 (b) l (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693, -496, -117, 444, 1187?\nAnswer: 2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 0*r + 0*r. Suppose 5*l + 4*u + 10 = 0, -2*l - 3*u - 14 + 3 = 0. Let i(s) = -10*s**2 - l*s + 11*s**2 + 2*s. Calculate i(m(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/36*209\/95 - 8) + 7. Let o = 0.6 + 3.4. Let j = -4.3 + o. Which is the smallest value? (a) j (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.1 + 52. Which is the third smallest value? (a) -1 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -306\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 21*i**2 + 2*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (223\/669)\/(10\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.17 + -0.73. Let m = 1.763831 - 3.203768. Let a = o + m. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-11\/2)\/h)\/h*h**23*h)\/(h**(-3\/2)*h*h*(h**(-8)*h)\/h))**7 assuming h is positive.\nAnswer: h**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3567 + -1839. Let w = 1728.00000817 - c. Round w to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14820661 + -36?\nAnswer: 14820624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 13*s - 4*p - 20, 0 = -s - 3*p - 10. Calculate the remainder when (-1)\/(11\/s) + 15876\/77 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.117 + -43.117. Let b = -143048917.0000258 + 143048874. Let r = s - b. What is r rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 15*l**2 + 4*l + 15. Let o be f(14). Let y = o + 210. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -5 (c) -5\/4 (d) 59 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16039091, -16039118, -16039147, -16039178?\n\"Answer: -y**2 - 24*y - 16039066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/1298 - 6505\/3894. Which is the smallest value? (a) -1403\/8 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(119))\/(-3*sqrt(28)\/sqrt(4)).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 (base 13) in base 9?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230665 (base 9) to base 10.\nAnswer: -138326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 2. Let v be o(-2). Suppose a - 3 = -v*a. Let h = 9 + 4. Solve -2*k = 3*k + a*x - h, 3*x - 1 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 172, 378, 666, 1036?\n\"Answer: 41*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3 + 3736068*v**2 - 22416489*v + 33624774 = 0.\nAnswer: -1245362, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -10*y - 4*b - 5104, 5*y = 3*b + 25384. List the prime factors of y.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21 = -6*n. Find the common denominator of n + 1 - 18\/(-27) and -47\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {k: 3, p: 5, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 less than -8.065?\nAnswer: -10.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.64 + -0.67. Which is smaller: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9849 divided by 5\nAnswer: 9849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -15*v**2\/2 - 21*v - 14. Let m be h(-3). Is 6 a factor of (m\/5)\/((-6)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -11, 4, -5, -14, 0 in ascending order.\nAnswer: -14, -11, -5, 0, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-4 - (sqrt(102) + sqrt(102)*1 + sqrt(102))*4)\/(1*sqrt(726)*2) + -2 + 4.\nAnswer: -8*sqrt(17)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.44 to one decimal place.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5)*-1 - 560\/100. Let p be ((-4)\/f)\/(24\/(-36)). Calculate the remainder when 2\/(p\/(-54)*(-9)\/(-6)) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 - 0.05. Let b = 0.4 - -0.1. What is the nearest to -0.1 in -0.1, i, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1962*c**2 + 36*c - 72. Let p(m) = m - 2. What is -36*p(w) + r(w)?\nAnswer: 1962*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-5\/13))*b\/((b**(1\/3)*b)\/b))**(3\/14) assuming b is positive.\nAnswer: b**(25\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*546\/(-286) - 7\/7.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3352.026 rounded to 0 dps?\nAnswer: -3352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 + -9. Let o = -17.7 - -18. Put o, -0.03, i in ascending order.\nAnswer: -0.03, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 - 11*w + 23. Let n = -4512 + 4505. What is k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/48 + (-305)\/(-6). Suppose 0 = -3*u + k + 33. What is the highest common divisor of 84 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07124 + 92.93124. Let c = l + -7.16. Round c to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -29, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2 = -4*w, 3*z = 4*w + 26. Let x = 2 - 0. Suppose -4 + 16 = x*q. Calculate the remainder when z is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*v = -35, 5*j + 40 = 7*v - 4*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(1512\/21)*168\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/7, -1\/6, 18, -2\/35, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/25 + (-468)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Suppose w + 3*q - q - 3 = 0, -5*w + 29 = 3*q. Suppose 18 = w*u - t*u. Solve -y = 2*y + u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/258 and -37\/88008.\nAnswer: 3784344","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -12, 5, 2, 20\/131?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e4c8 (base 15) to base 4.\nAnswer: -210201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 872647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/4 + 29*g - 763\/4 = 0.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/6 (b) 0.008 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1743 + 1743 - 14208*j.\nAnswer: -14208*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.006 - 0.006. Let t = 39.4 - s. What is the fourth smallest value in -3, t, -2, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let u(c) = -958*c - 1957*c + 299*c + 175*c. Calculate n(u(s)).\nAnswer: 2441*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*n + 4*n - 521, 173 = t + 2*n. Let d(m) = -68*m - 232. Let j be d(-6). Which is greater: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b297b8 (base 12) to base 11.\nAnswer: 163a194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -5 (b) -2\/5 (c) -0.1 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*s**2 + 276*s**2 + 310*s**2 - 2*s**3 + 302*s**2.\nAnswer: -2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-250)\/(-60))\/25)\/(2\/39))\/((-464)\/16704).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 3*p + 4*p)*(-p + 0*p + 2*p + (0*p + 2*p - p + (-4 - 1 + 3)*(2 + p - 2) + 3*p + p - 5*p)*(1 - 4 - 10)) to the form v + y*p + x*p**2 and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95)*4 - sqrt(95))*-5)\/((sqrt(500) - sqrt(500)*2 - sqrt(500))*-2)*3.\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0)**(-1) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28 + 25 + -2 + 4 + 0. Put 3, w, 1, -10 in increasing order.\nAnswer: -10, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.3508 + 0.0508. Let d = 5.3 + b. Sort d, -0.2, 3, 2\/3.\nAnswer: -0.2, d, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8193746?\nAnswer: 2, 11, 372443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 63063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4417 divided by -1.\nAnswer: 4417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 0*i - 2*i)*(43 + 10 - 22) + 6*i - 5*i + 9*i + (2 - 3 + 3)*(0*i - 3*i + 2*i) - i + 3*i + 0*i to x*i + d and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1\/21*a**3 + 1\/28*a**4 - 1\/14*a**2 - 2 - 1\/7*a. Determine z, given that w(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*h + 64*h + 2*h**4 + 68*h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.71 + -7.35. Which is the third smallest value? (a) 9 (b) l (c) -3\/4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**3 + 123*v**2 - 30*v - 186. Let t(g) = -3*g**3 + 31*g**2 - 7*g - 46. Let l(s) = 5*j(s) - 21*t(s). Factor l(h).\nAnswer: 3*(h - 12)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**3 + g - g + (140*g**2 - 141*g**2 + 158*g**2)*(4*g - 4*g - 2*g))*(-3*g**2 + g**2 + g**2) + 2*g**5 - g**5 - 2*g**5.\nAnswer: 320*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4267.77031 + 4268. Let k = z - 0.23. What is k rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6184.705 hours to seconds.\nAnswer: 22264938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 2*w + 26. Calculate the lowest common multiple of 12 and b(0).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217948 greater than or equal to -217947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*1*sqrt(684)*-1)**2 + (3 + -3 + sqrt(684) + -1)**2.\nAnswer: -12*sqrt(19) + 11631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 15*f + 14*f - 77. Suppose n + 3*i + 4 = -1, 0 = -n + i + 11. Let u = n + 2. Calculate the lowest common multiple of u and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*u + 29 = -0*d, -3*u = -5*d + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.632469 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495347, 990923, 1486503, 1982087, 2477675?\nAnswer: 2973267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, s: 1, v: 6}. What is prob of sequence ov?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 48*r + 28 = 50*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 1500.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 195*f - 11 = -81*f - 113*f, -2*v - 1 = 5*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 111 = 681. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 != 2482\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k - 2*x = -51*k - 29, 2*x = k - x + 36 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82758901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 268, 522, 786, 1066, 1368, 1698, 2062?\n\"Answer: j**3 - j**2 + 250*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 13) + 19 + (-3 - 12)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14300*b - 35 = 14293*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (301997480\/4458350)\/((-2)\/(-32)). Let o = -1\/89167 - s. Let d = 1080 + o. Which is greater: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4780)\/(-2)*(-16 + 18). Suppose -x = -20*m + 3700. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 157072.9346 rounded to the nearest 100?\nAnswer: 157100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15700 - -15718.258. Round m to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, l: 3, q: 2}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 129992, 259984, 389976, 519968?\n\"Answer: 129992*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let t be v + -2 + 5 + -3. Suppose t = -g + 108 + 455. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.0467 + 0.0467. Let s = 3\/2 + -17\/10. Which is the third smallest value? (a) s (b) 0.08 (c) -5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 1478*r - 1482*r, -2*r + 3*r = 5*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - 4*c**2 + 4*c - 55. Let o(p) = -15*p**3 - 11*p**2 + 12*p - 166. Let r(t) = -4*o(t) + 11*u(t). Differentiate r(w) wrt w.\nAnswer: 15*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - t - 12*t + 5. Let i(x) be the first derivative of -3*x**2\/2 + x + 68. What is 11*i(a) - 2*w(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 2*m)*(4*m - 2*m - 3*m) - 4*m + m**2 + 4*m - 5*m**2 + 4*m**2 + 4*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2113*w**2 + 12*w - 8 wrt w.\nAnswer: 4226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1140349180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u - 240 - 304 = -202. Let q = -6 - 1. Put 16, u, q in decreasing order.\nAnswer: 16, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-27)\/243*28*(-3)\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -467 - -3733\/8. What is the nearest to -1 in 5, -3.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*b**4 - 31*b**4 + 112*b**4 + (-4*b**3 - b**3 + 3*b**3)*(4*b - 3*b + 0*b) + b**4 - b**2 + b**2 + 0*b**4 - 2*b**4 + 0*b**4.\nAnswer: 128*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 799 and 58259.\nAnswer: 2738173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5 + 7821*t**4 - 323187*t**3 - 7821*t**2 + 323190*t = 0?\nAnswer: -1, 0, 1, 42, 2565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let i be (1 - -1)*1 - (1363\/987 - (-40)\/140). What is the closest to -1\/4 in 2\/7, i, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001100011010001 - -10011?\nAnswer: -101100001100010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6469 is divided by 495?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306 - 305.999990732. Round u to seven dps.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 69 = 41. Suppose 0*u - u + 3 = 0. Suppose -c = -u*q + q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161840119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookoko. What is prob of picking 1 k and 3 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -2*x**5\/3 + x**4\/12 - 75*x**3 + 389*x**2. Find the first derivative of h(a) wrt a.\nAnswer: -80*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144702941.\nAnswer: 113, 613, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 + 0) - (46 + -90 - -95).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 5*o + 2. Let h be j(-5). Let g be ((-12)\/(-18))\/(h\/9). Let i = 7 - g. Calculate the smallest common multiple of 10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*v**3 - 1 - 493*v**3 + 1.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31888 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 + 386265*r + 55684368 = 0?\nAnswer: -144, 128899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = -6*d + 132 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2136*r**3 + 18*r + 1279. Let d(s) = 2139*s**3 - 24*s - 1279. Let t(u) = -3*d(u) - 4*z(u). What is the derivative of t(c) wrt c?\nAnswer: 6381*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -1174\/7. What is the closest to m in 2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.4 and 4150.\nAnswer: 275560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1259208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 0. Suppose k = -3*m, b = -2*m + k + 3*k. Let i(p) = m*p**2 - 2*p**2 + 0*p**2. Let a(g) = -4*g. What is i(a(t))?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-64)*4\/(-60)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) -1\/2 (c) 181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 3:05 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7052895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150616 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/240)\/(2 + (-10)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x + 345. Let b be d(0). Suppose -5*r + b = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 3*j - 5*j + (-2 - 3 + 2)*(-j + 2*j - 2*j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1280 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010845 divided by 3010845?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (2 + (sqrt(1088) + -1)*1 + sqrt(1088) + 2 + -3)**2.\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 24*m**2 - 20. Let f(k) = k**2 - 1. Let o(j) = -20*f(j) + x(j). Let q(g) = 7*g**2. Determine o(q(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 + 2*c**2 - 4. Let i be 1 + -4 - (6 - 10). Let t be i + 4 + -1 + -8. Let u(n) = 4*n**3 + 3*n**2 - 5. What is t*u(g) + 5*q(g)?\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 69024 + 5976. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -147089 and -3.\nAnswer: 441267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(187) + 3*sqrt(187)) + sqrt(187))*2)\/(-3*(sqrt(11) + sqrt(11)*2) + sqrt(22)\/sqrt(2)*6).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678247, -1356236, -2034225, -2712214, -3390203?\nAnswer: -4068192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 take away 0.122?\nAnswer: 131.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7540, -15079, -22620, -30163, -37708, -45255?\nAnswer: -52804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5079, -4 in decreasing order.\nAnswer: 5079, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31929, 31924, 31919, 31914, 31909?\nAnswer: 31904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/36*-1*20. Suppose -o = -y - 15, 2*y = -4*o - y + w. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, 0, 7, -0.5 in increasing order.\nAnswer: -0.5, 0, 1\/27, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/(84\/(-364)) + (11 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(117)*4 - sqrt(117))**2 + (1*-1*sqrt(117) - sqrt(117))**2.\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 10*b - 1 + 6*b to the form x + v*b and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -542331 - -10660?\nAnswer: -531671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 1\/2*p**2 - 17\/4*p**4 + 0*p + 0*p**3 - 9. What is the second derivative of q(t) wrt t?\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186660, -186734, -186960, -187422, -188204?\nAnswer: -189390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(1\/4))))\/(s\/((s\/(((s**(1\/5)*s*s*s)\/s)\/s))\/s)*s)*s**(1\/4)*s*s\/(s\/(s*s**(-5))))**(1\/52) assuming s is positive.\nAnswer: s**(-47\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 644075618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86593 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 32*k + 763. Let r be u(-24). Suppose -2*g = 4 - 0. Put g, r, 2, 8 in increasing order.\nAnswer: r, g, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l**3 + 2*l**2 + l - 1. Let q be m(-2). Suppose -i + q + 52 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.898 - 35.998. Let h = 54 + -78. What is the nearest to -0.1 in -4\/5, -0.3, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.6. Let n = 15.2 - 15. Which is the third biggest value? (a) 1 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*a**3 + 10989*a**2 - 82*a - 886.\nAnswer: 474*a + 21978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqsq when four letters picked without replacement from {d: 1, z: 2, q: 2, i: 2, s: 1, r: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/49? (a) -2 (b) 3 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -85, -302, -721, -1408?\n\"Answer: -11*f**3 - 2*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (42 - 34) - -49\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -805 divided by -23\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 52. Find the third derivative of 3*f + z*f**3 + 7*f**2 + 9*f**3 - 3*f wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146554?\nAnswer: 2, 73277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + c**3 - c**3)*(-3*c + 5*c + 0*c) - 91*c**5 - 82*c**5 + 100*c**5.\nAnswer: -77*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agddvaaxdda. Give prob of picking 1 x and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + -1000111000101?\nAnswer: -1000111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u + 12. Suppose v + 2*l + 3 = 0, 6*v = 7*v - 3*l - 12. Let f(b) = -11*b + 22*b - 1 - 3 - 13*b. What is v*i(w) + 8*f(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944610 + -0.9466.\nAnswer: 2944609.0534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 10 - 2 + 16*f in the form h + w*f and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/18)\/((-2)\/100*500\/(-300)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3621 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432*a**2*f**2 - 10*a*f**2 + 6*a*f + f**2 wrt a?\nAnswer: 864*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4102, -4720, -5754, -7204, -9070?\n\"Answer: -208*d**2 + 6*d - 3900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 - -319. What is the highest common factor of 34 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v*v**19)**14 assuming v is positive.\nAnswer: v**(2492\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 29727396878.\nAnswer: 29727396878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -g, d - 4*g - 16 = 0. What is the remainder when 261 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*d - 1 - 134, 0*c - 162 = 5*c - 6*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*16687657.\nAnswer: 33375314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1300)) + 4*(1 + sqrt(1300)) + sqrt(1300) + -5)**2.\nAnswer: -60*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10397?\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2130392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1 + -3 + (-18)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18789164839.6 and -8.\nAnswer: -18789164847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 50. Let k(h) = -2*h + 23. Let g be k(l). Solve -r - 20 = g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, o: 4}. Give prob of sequence foof.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooaaoooo. What is prob of picking 4 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 54*a + 567 - 90 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19566723 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-49)\/5)\/((-1)\/(-17)). Let q = f - -168. Find the common denominator of q and -73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l**2 + 79*l**2 - 36*l**2 to the form d*l + x + w*l**2 and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 13. Let y be c(6). Suppose 0 = -5*g - y, -7*b + 3*b = -5*g - 33. What is the lowest common multiple of -2 + 2\/b - (3 + -31) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u + 58*u = -28. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 5, -2\/3, 0.3, 22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 6*j + 0*j. Let c = 29 - 26. Let f(v) = c - 3 - 18*v**2 + 21*v**2. What is f(p(s))?\nAnswer: 243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -57, -1 in decreasing order.\nAnswer: -1, -19, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 >= 0.255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01506 * 0.2.\nAnswer: -0.003012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 6*q - 7. Let w be y(-7). Suppose 3*c + 9 = -w*c. Is 32 a factor of 131*2\/8 + c\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 3020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4)*(-3 - (0 - 184)). Suppose -5*d + 3*m - 105 = -2*d, 0 = -5*d + 2*m - k. Let a = d + 37. Solve -2*y = 4*v + y, 5*v + y = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1653*k**2 + 3*k - 3233*k**2 + 1576*k**2 - 3*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-4)\/77) - 4\/((-16)\/(-20)). Which is the nearest to 2? (a) 1\/4 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*a = -24, 4*i - 5*i + a - 6 = 0. Let z = 2 + i. Suppose r + z + 0 = 0. Which is bigger: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, -4, -1\/7, -1\/51?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2, -26\/5725, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q - 2. Let i be x(-5). Let z = 12 + i. Let g(s) = s**2 + s + 32. Is g(z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (5 - (-11 - -17)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:52 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 809*q**2 + 18*q + 679. Let v(i) = -404*i**2 - 8*i - 341. Let k(x) = -4*p(x) - 9*v(x). What is the derivative of k(n) wrt n?\nAnswer: 800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l - 4. Determine a(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -220, -446, -750, -1132, -1592, -2130?\nAnswer: -2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 168 = 14*r. Let m = -331 - r. Let z be 2 + 1 - m\/(-95). Are z and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 14*k + 6. Let q be r(-14). Suppose 3*o - o - 10 = 0. Solve o*s = 2*s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83\/7 + -85\/7. Sort 0.2, 0.4, z, -5\/17 in increasing order.\nAnswer: -5\/17, z, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {f: 5, a: 4, x: 1, j: 1, y: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*h + 8*h. Solve -4*k - h = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95817086 - 6.574088\nAnswer: -95817092.574088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201389.838 less than -0.157?\nAnswer: -3201389.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2448))**2 + (sqrt(1377) + 4)**2 + sqrt(1377) + 2.\nAnswer: 81*sqrt(17) + 89523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-2684))\/((496\/64)\/(-31))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25 + (-3)\/(-3*1). Let y(q) = -q**3 + 8*q**2 - q - 1. Let b be y(6). What is the highest common divisor of b and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 19 = 5*j - 0*j, -3*j - 6 = 3*h. Solve -h = -i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1085, 1083, 1079, 1073, 1065, 1055?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 491283 times 3\nAnswer: 1473849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590490 by 1215.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 713, 1502, 2569, 3914, 5537, 7438?\nAnswer: 9617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -98. Factor 5*q**4 + x*q**3 + 237*q**2 + 6*q**3 - 327*q**2 + 26*q**3.\nAnswer: 5*q**2*(q - 2)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2833531 divided by -5\nAnswer: 2833531\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0222, 12, -11?\nAnswer: 0.0222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 69, 0 in descending order.\nAnswer: 69, 13, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3471405*d**3*p**2 + 103441*d**3*p wrt p?\nAnswer: -6942810*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172585, -690352, -1553299, -2761426, -4314733, -6213220?\nAnswer: -8456887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-231)*(6 + 0 + -2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 + (-3)\/(-1) + (-2)\/2. Let l be 112\/18 + w\/(-135). Solve l*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:41 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 4*t**2 + 214 + 8*t**2 + 1.\nAnswer: 4*t**2 + 318","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 33 - 8*w + (w - w + 2*w)*(-4 + 4 + 1) + 7*w - 6*w + 147 + 27 to v*w + f and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3823082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 694 = 3*b + 12*h, -925 = -4*b + 5*h. Let u = b - 230. Let a(d) = d - 12. Give a(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-236)\/295)\/((-308)\/(-70)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = 13. Let o = 49 - a. What is the remainder when o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14256971 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53702*o**2 + 53696*o**2 - 5*o - 5*o.\nAnswer: -6*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 100, 161, 222, 283?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3684 and -65\/614?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 1:17 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.366 - -12.966. What is the fifth smallest value in -13\/7, c, 5, 1, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {p: 8, u: 11, t: 1}.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.179*-1.\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29718439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, s: 1, g: 3, f: 2, x: 2}. What is prob of sequence gzg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 1 - 1)*(-7*v - 1 + 1) + (-4*v + 3*v + 0*v)*(11*v + 325 - 325).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/2*h**3 + 369798*h - 245388 - 2577*h**2 = 0. What is h?\nAnswer: 2\/3, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2599207 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 + -98. Suppose -d = -5*u - 0*u. Suppose 5*p = -u - 6. Which is the nearest to p? (a) -2 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/h)**49 assuming h is positive.\nAnswer: h**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038892 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -180.7*-809.5\nAnswer: 146276.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 213*b - 88. Let o(k) = -49*k. Calculate u(o(a)).\nAnswer: 4802*a**2 + 10437*a - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**8\/336 + 2*c**7\/105 + c**6\/20 + c**5\/15 + c**4\/24 + 7*c**2\/2 - 1. Let u(y) be the second derivative of s(y). Factor u(q).\nAnswer: q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/15*(-2 - 1). Let v(c) be the second derivative of 0 - 1\/3*c**3 + 0*c**2 - 1\/12*c**d - c. Find the second derivative of v(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8851?\nAnswer: 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1089184 from -1.01576.\nAnswer: -1089185.01576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717 + 2*s - 717.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155.0000063 + -155. What is k rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 <= -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -3. Suppose v - 3*v - 8 = -l, 4*l = v + y. What is the fourth biggest value in -0.3, -5, -1, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/5)\/9*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -11*v**5\/60 - 8*v**2 + 17. Let z(b) = -64*b. Calculate u(z(m)).\nAnswer: -45056*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225528249 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m - 2, 2*m + 1021 = 3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 2*n + (0*n - n + 2*n)*(-3 + 6 - 2) - 1 + 1 + 2*n - 54*n + 5*n - 34*n)*(n**2 + 0*n**2 + n**2).\nAnswer: -156*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20165, -0.5, -52, -1\/20 in increasing order.\nAnswer: -20165, -52, -0.5, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 8*g**2 + 2*g - 5. Determine w(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 244 + 13451*g - 13450*g)*((g + g - 3*g)*(3 - 2*g - 3) + 2*g - g**2 - 2*g + 2*g**2 + g**2 - g**2).\nAnswer: 3*g**3 + 450*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 988819004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5530 - 5527. Let k(t) be the first derivative of -41\/5*t**5 + 8 + 0*t**4 + 35*t + 0*t**q + 0*t**2. Differentiate k(b) with respect to b.\nAnswer: -164*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 30*d + 5220 = 50*d. Calculate the greatest common factor of d and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohho when four letters picked without replacement from {o: 3, h: 2, x: 1, e: 2, d: 10, g: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*u**5 + 2*u**2 + 12 wrt u.\nAnswer: -9060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.06514 centimeters in meters?\nAnswer: 0.5206514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(147) - (2*(sqrt(147) + -3) + sqrt(147)))**2 - (((-1*sqrt(147) + sqrt(147))*-6)**2 + sqrt(147) + 2 + 1)) + 0.\nAnswer: -175*sqrt(3) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40347 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/5395 and -32\/913.\nAnswer: 59345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280460 = 112*p - 6*p - 178838. What are the prime factors of p?\nAnswer: 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose -b*y + 0 = -6. Suppose 2*a - a + 3 = 4*g, -3*a - y*g = -6. What is the nearest to 0 in a, -1\/7, 5\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 2*y - 52. Suppose -j - y = -80. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -256137, -98.\nAnswer: -256137, -98, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from {c: 12, w: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 137 (b) 3 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 13*a**2 + 2*a - 14. Let x be b(13). Let i(r) = 37*r - 2. Let d be i(6). Suppose 16*h = x*h + d. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144 and 5434?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -4. Let n be 3 + 2 + (-4 - x). What is the remainder when 3\/(-6) + 69\/n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410\/(-82) - (2 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -89873, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1161 divided by 1.\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3072922 and 10622.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 3 + 3*j)*(5 - 5 + j**4).\nAnswer: 3*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 + 0 = 0. Let m be 1 + 4 + (-3)\/p. Solve 3*l = -l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11730642*n**4 + 2*n**2 + 32513124 wrt n?\nAnswer: 46922568*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 6, c: 1, i: 9}. What is prob of picking 1 k and 2 b?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - n - 57 = 0, -3*z - 6*n + 44 = -7*n. Let b(c) = c**3 - 12*c**2 - 11*c + 30. List the prime factors of b(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76041*j - 19012*j - 19014*j - 19006*j - 19005*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 3.7. Which is the second biggest value? (a) g (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14195, 28184, 42171, 56156?\nAnswer: 70139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2036*h + 797 = -1887*h + 52. Solve 0 = 4*d - 4*t - 8, d - h*t + 0*t + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.90653035 to 2 dps.\nAnswer: 4.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 19. Let z = 34 + -24. Let x be d(z). Let w(h) = 2*h**2 + 22*h + 1. Let a be w(x). Which is greater: a or -2\/51?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 419229 and 0.2861.\nAnswer: 419229.2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {n: 2, q: 1, p: 7, w: 2, x: 2, v: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - 4*(-20 - (-135)\/10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66731 is divided by 1714.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2586 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, -5, 0, 3, -3\/10 in increasing order.\nAnswer: -5, -3\/10, 0, 2.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(13 - 10 + 14)*(81*n**3 - 69*n**3 - 104*n**3).\nAnswer: 1564*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 - -0.39. Let i = -1 + 1.1. What is the closest to i in -2, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-1\/12)*k)\/k*k)**(-46)\/(k**(-44)*k*k)**24 assuming k is positive.\nAnswer: k**(5243\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -714 + 1675. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 12\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -25. Factor k*l + 1\/4 - 1\/4*l**2.\nAnswer: -(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4)*l)\/l)**40\/(l*l**(-1\/28)*l\/(l*(l*l**3)\/l)) assuming l is positive.\nAnswer: l**(-3303\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d - 145 + 145 in the form l + g*d and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 8 + 261*n - 37 to the form o + a*n and give a.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156330*f = -156383*f + 212 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -12, -19, -36, -69?\n\"Answer: -g**3 + 4*g**2 - 8*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/12 - 8*q**2. Suppose 22 = -y + 16. Let s(v) = v**2 - v. Let k(h) = y*s(h) + f(h). Factor k(d).\nAnswer: -d*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from rmrrmrrrmmrrrr.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10516640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u + 5*u - 2*u)*(4*u - u - u) + 23*u**2 + 7 + 3 - 14)*(-3*u - 2*u + 6*u) to the form c*u**2 + a + l*u + n*u**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/((-31)\/93). Let n be (22 + (-40)\/5)*(1 + i). Solve u + n = 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 32*l**2. Let h(m) = -3*m**2. Give h(w(o)).\nAnswer: -3072*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23306738\/447 + -32899799477\/594510. Let r = 3199 + o. Let w = -5721\/2660 - r. What is the common denominator of w and 83\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2 - 2*g + 3. Let l be m(2). Is (-34)\/(-5) - 5\/l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.545 - -0.363. Let m = q + 0.182. Is m >= -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {s: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1108 + -1114.67. Let d = b + 3.67. What is the nearest to 0 in -19, 1\/2, d, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 15 + -24 - 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-60) - 6*(-126)\/405.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**4 + 0 + 0*t + 7*t**2 - 2\/15*t**5 + 3\/2*t**3. Find the first derivative of l(n) wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137 + 2\/6*(-12)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 60 = -3*i. Let c(x) = 15*x**3 - 9*x - 5. Let s(n) = -22*n**3 + 13*n + 7. Determine i*s(p) - 7*c(p).\nAnswer: 5*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 31*f - 157699 - 1214399 = 0. List the prime factors of f.\nAnswer: 2, 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 + 13*y + 8. Let u be m(6). Let x = 184 - u. Let l = -46 + x. Solve 9 + l = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 96*f**2 + 2*f + 10. Let w be o(7). Suppose 5*s = w + 1327. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 15) in base 6?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11569782 is divided by 251517.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23 - -17)\/(-1 + -1 - 0). Suppose 0 = -3*b - q - 2, 7*b - u*b - 4*q - 8 = 0. Solve b = 2*o - o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536000 rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/(-45 + 10943\/248)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 13, -2, 1, 2, -114, -5 in descending order.\nAnswer: 13, 2, 1, -2, -5, -24, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/11 + 1510*i\/11 - 3012\/11 = 0.\nAnswer: 2, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, i: 4}. Give prob of picking 2 l and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 844365 and 35295?\nAnswer: 10976745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*z + 327*z - 219*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4731*x + 5*w = -4741*x + 320, -4*x - 3*w = -130 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1 - (-2 - 0). Suppose -5*z - 13 = -2*a, 0*z = a - z - c. What is the lowest common multiple of 1*1\/(-1)*-2 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (3 + (10 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -21 + 76 + -56.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 650 and 33?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 7*j**2\/2 - 207*j - 153. Let n be c(30). Sort 0, -3, -10, n in descending order.\nAnswer: n, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 12*k**2 + 118*k + 18. Calculate a(-3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381775 + 381775 + 267*u**2.\nAnswer: 267*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5 + -33?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from krmllmwwmllc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 677930389*d + 960659820 wrt d.\nAnswer: 677930389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b + 8. Let p(c) = -c - 4*c + 1 + 0*c + 6*c. Give -14*p(f) + 2*u(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59514*m**4 + 6*m**3 + 11*m**2 + 42061*m.\nAnswer: -1428336*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/15))**41)**18\/(((f\/f**2)\/f)**42\/(f**1*f)**34) assuming f is positive.\nAnswer: f**(268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1. Let b(h) = -36*h + 12. What is b(g) - 12*f(g)?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c**3 - 6*c**2 + 5*c. Let i(v) = 4*v**2 - 4*v**2 + 16*v - v**3 - v**2 - 15*v. Determine 5*i(l) - o(l).\nAnswer: 5*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0.21, -0.1 in descending order.\nAnswer: 0.21, -0.1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4, -1137, 2, -1 in decreasing order.\nAnswer: 6, 2, -1, -4, -5, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.0733.\nAnswer: -0.00733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + 47. Let y = d + -110.2. Let w = 14.80117 - y. Round w to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297296 is divided by 2486.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 6723?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2 - 3)\/(-2). Suppose 2*y - p = -4, 5*y + 3*p = 2*y + 3. Put 2, m, y in decreasing order.\nAnswer: 2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-1*sqrt(300)) + (sqrt(132) + sqrt(132)*-2)\/sqrt(12) + -2)**2.\nAnswer: 24*sqrt(11)\/5 + 496\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u + 16. Let x be 0*(1\/1)\/(-1). Let k be 2\/(-2 - 0) + x. Put k, u, 2 in ascending order.\nAnswer: k, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 197. Does 6 divide m(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.55924712 and -0.128.\nAnswer: -1.68724712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/22 + j. Factor x(l).\nAnswer: 6*l**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*((sqrt(320) + 0 - sqrt(320)) + -4))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 146 = 1596. Does 65 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/2)*x*x*x**(-3\/4))**(2\/21)\/((x\/((x**4*x)\/x))\/(x\/x**(3\/5)))**(-29) assuming x is positive.\nAnswer: x**(-2953\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 359\/6 or 59?\nAnswer: 359\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76540.41mm in meters?\nAnswer: 76.54041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*o = -3859, -12*d - o = -13*d + 1947. Suppose -7*s + 1145 = -d. Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3902 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 27\/8, 1\/2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -2*l - 130, 5*d + 2*d - 4*l + 18 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.619 and -5.\nAnswer: -5.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + -2. Let m = 1456\/45 - 164\/5. Which is the second smallest value? (a) m (b) v (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from uuzuuuuvuvuuuuuuv?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037371292 rounded to 4 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -451806?\nAnswer: 7\/225903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55*281\/15455*(-8)\/7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3 - 0))\/(-3). Suppose 0 = 3*y - 5*m - 9, 2*y - 3*y + 2*m + 3 = f. Let x = 6.3 + -1.3. What is the closest to 1\/2 in y, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -42, -105, -222, -411?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 10. Let w be (-13 - 2)*4\/m. Let c(u) = -u**3 - 5*u**2 + 4*u - 8. What is c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1840 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 50*n + 50. Let w be m(26). Put w, -3, -86 in ascending order.\nAnswer: -86, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, b: 3, u: 3, i: 1, z: 1, x: 2}. Give prob of picking 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7268622659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 7*t**5\/10 + t**4\/9 - 28*t**3\/3 - 8*t**2\/3 - 63*t + 4. Let g(s) be the first derivative of a(s). Find r such that g(r) = 0.\nAnswer: -2, -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 + 17*i**2 - i - 3. What is p(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**2 - 88*r**2 + 26*r**2 + 37*r**2.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 - 47*d + 2. Let h be l(-8). Let k(q) = -4*q - 6. Determine k(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 152*t + 13. Let r(w) = 147*w + 11. Calculate 5*a(x) - 6*r(x).\nAnswer: -122*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 11 + 36*n + 48*n**2 + 4\/5*n**5 + 88\/3*n**3 + 8*n**4. Solve x(w) = 0 for w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132220?\nAnswer: 2, 5, 56611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(16)\/(sqrt(16)\/sqrt(2)) + -3*sqrt(4)\/sqrt(2)*4.\nAnswer: -11*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 7. Let t(o) be the third derivative of o**5\/60 + o**3\/6 - 6*o**2. Let n(c) = 3*m(c) + 15*t(c). What is the first derivative of n(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*k - 4*m - 105, 4*k + 3*m + 83 = 0. Let z(g) = g**2 - 5*g - 7. Let q be z(5). Let y = q - k. Calculate the lowest common multiple of 3 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(36\/(-4)))\/((-100)\/175)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -196 (b) 5 (c) -0.5 (d) -2\/9 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(6 - 6 - 4*d) + 3*d - 7*d + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 3, z: 2}. Give prob of picking 1 o and 1 h.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, k: 4}. What is prob of sequence aa?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3 + 3)*(-2 + 2 + r) - 94*r**2 - 19*r**2 + 17*r**2.\nAnswer: -93*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 97961.48mm?\nAnswer: 0.09796148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3 + 7*r**2\/2 + 57*r - 20. Let g be n(-13). Round g to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218746.6 microseconds to nanoseconds.\nAnswer: 218746600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 115, 261, 465, 727?\n\"Answer: 29*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 3. Suppose -4*c = 12, -6*c - 21 = -4*d - 3*c. Let t(h) = -3*h**3 - 2 - 2 - 2*h**3. Calculate d*t(b) - 4*f(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -22, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 12 + -27 + 28 - (-5 - 23).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17263 is divided by 8561?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2 - 711*m + 3. Let a(n) = -11*n**2 - 1423*n + 5. Let s(b) = -3*a(b) + 5*y(b). Find l, given that s(l) = 0.\nAnswer: -238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -688 + 777. Let z = x + -84. Sort z, -2, -0.059 in descending order.\nAnswer: z, -0.059, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -36, 174, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -47*z**2 - 50*z + 25*z + 25*z. Suppose -4*b + 20 = -4*x - 12, 3*b - 24 = -4*x. Let q(d) = 2*d - b - 1 + 9. What is q(l(k))?\nAnswer: -94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**3 - 587*p**2 + 309*p + 7778. Determine l(-59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 59. Let y be m(-28). Solve 0 = -n + 6*g - y*g - 18, -5*n - 4*g + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2219, 2280, 2357, 2450?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 + 2*x**3\/3 + x**2. Suppose p - 4 = -p. Let s be w(p). Solve -s*k = -6, -2*j - 13 = -4*j - 5*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323214 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + (-2226)\/42 + -54?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (13 + 10 + (2 - (7 - -6)) - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 10 = -y. Suppose -5*v + y = -5. Suppose -o = 5*j + o + 1, 0 = -5*j + 3*o + 14. Calculate the greatest common factor of j and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58683.83l in millilitres?\nAnswer: 58683830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16390 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 323, -17, 0.1, -0.02, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*t + 4, 2*m + 2*m - 50 = 5*t. Let y = 22 - m. Suppose -7*s = -y*s + 730. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 8*f - 12. Let b be r(-9). Let j(n) = -n**2 - 4*n + 2. Let l be j(b). Suppose 4*u = -l - 7. Put 4, 2, u in ascending order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10. Let f(l) = l + 1038. Determine f(k) - 6*g(k).\nAnswer: k + 978","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*11\/(-66))\/(-2). Let t = 1 + 0. Sort c, t, -3, -19 in increasing order.\nAnswer: -19, -3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 137 = q, i + 0*i = -2*q - 292. Let b be q\/174 - 5\/(-6). Solve -2*p + 3 = -n, -n + 2 + b = 3*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 62.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -139*i + 4735. What is g(34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**2 + 2*o - 2*o)*(-4 + 3*o + 4) to the form g*o + t*o**2 + z*o**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -40. Let u(x) = 15 - 8 - 2*x**2 - s. Let r(b) = -50*b**2 + 2. Calculate u(r(j)).\nAnswer: -5000*j**4 + 400*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 1 = -g + 3*n - 17, 3*n + 6 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.914179 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23348*x + 1218262 = -883058 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10911 - -10915. Let v(s) be the first derivative of 25 - 1\/2*s**2 + 0*s + 1\/3*s**3 - 1\/16*s**a. Factor v(d).\nAnswer: -d*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 5 (c) -2\/41 (d) 13\/5 (e) -3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 - 3*y + 4 = 0. Calculate y.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(((-21)\/2)\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/27764964 and 23\/8.\nAnswer: 55529928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose 0 = l*j + 2*j. Suppose 59984 = -5*c + 4*g, 3*g + j*g + 12 = 0. What is c rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6503, 28 in increasing order.\nAnswer: -4, 28, 6503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:28 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 4, q: 3}. Give prob of sequence vl.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*s - 2)*(4*s - 4*s - s) + (2*s + 3 - 3)*(-11 + 2 + 20*s + 7) in the form y*s**2 + d + a*s and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 8 = 29*k - 4*q, 4*k + q - 26 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001011100111101010 (base 2) in base 16?\nAnswer: -14b9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1218092 divided by 2.\nAnswer: 609046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280597 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -0.2, -1\/34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 699*y**2\/5 + 22119*y - 825995.\nAnswer: (y - 31)*(y + 365)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, 5, -2, -5, 4\/7, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 10909?\nAnswer: 5454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z - 2. Let a(m) = -398*m**3 + 2*m - 4. Calculate a(w) - 2*g(w).\nAnswer: -396*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1 - 2) - (1 + 5). Let t be 1 + q + 5\/(35\/(-28)). Let l(z) = -z**2 - 5*z + 1. Determine l(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/5, 13.096 in decreasing order.\nAnswer: 13.096, 9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 118*h**6\/15 + 181*h**4\/6 - 82*h. Find the third derivative of o(t) wrt t.\nAnswer: 5664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144*h**4\/15 - 139574*h**3\/15 - 1306036*h**2\/15 - 899178*h\/5 - 4704\/5 = 0. Calculate h.\nAnswer: -112, -7, -3, -3\/572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227\/35 - 44\/7. Let y(r) be the first derivative of -3\/2*r**2 + 0*r**3 + 0*r + 0*r**4 + v*r**5 - 1. Find the second derivative of y(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**4 + l**2 + 0*l - 1\/60*l**5 + 1\/6*l**3 - 2. Let g(z) be the second derivative of p(z). Differentiate g(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183331 times 75?\nAnswer: -13749825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0*l - l**3 + 2*l**2 - 3*l + 7*l. Let r(o) be the first derivative of -o**4\/4 + o**3 + 5*o**2\/2 - 2. Determine 2*r(t) - 3*x(t).\nAnswer: t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3506 = 5*b - 0*s - 3*s, 4*s + 2800 = 4*b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 46.96 and 2.023 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 0.0324, -31 in increasing order.\nAnswer: -31, -4, 0.0324, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*a + 5*a + 27*a)*(2 - 1 - 3) - 1 + 1 + a)*((-a - 5*a + 4*a)*(-5*a + a + a) - 27 + 27 + 23*a**2) in the form b*a + c*a**3 + h*a**2 + q and give c.\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = 107. Let q = 37\/253 + -174619\/3795. Let i = j + q. Is i less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58004.11ml?\nAnswer: 58.00411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 27. Suppose -4*q + f = -31. Suppose -2*b + 60 = q. What is the greatest common divisor of b and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -649 - -3449. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.188.\nAnswer: -0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105223 (base 7) to base 8\nAnswer: 44315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*i - 3*x, -3*i - 2*i - 3*x = -65. Let k = -9 + i. What is the derivative of -6 - 2*y**k + 3*y**2 + 4*y**4 - 3*y**2 wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/(o\/(o\/o**(-6\/7))))\/(((o*o\/(o**(-6\/17)*o))\/o*o)\/(o\/o**(-5))) assuming o is positive.\nAnswer: o**(-59\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6182 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -16. Suppose -u = 5*r - 3*r, 0 = -d + 4*r + 38. Solve -5*m = -4*l + 33, -5*m + m - l - d = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/184 and 43\/18.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 167, 234, 359, 560, 855?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 13647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 0 - -2) + -6 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5393 + 2648 - 102*x + x**2 + 2745.\nAnswer: x**2 - 102*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 4ba8a9?\nAnswer: 4ba8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2208853859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 48\/(-15))*75. Let o = -42 + m. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2495, 4816, 7135, 9452, 11767?\nAnswer: 14080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -3.3. What is the second smallest value in 4, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47822146?\nAnswer: 2, 149, 383, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*x - 33. Suppose -x*t = -11*t. What is the tens digit of 16\/4 + t + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -524062 + -350124.\nAnswer: -874186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 2 f when four letters picked without replacement from {f: 7, m: 4, k: 2, a: 1, y: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 - 6. Suppose -44 = -2*r + t*d, -52 = -2*r + 5*d - 9. What is the remainder when 45 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -238, -349, -444, -517, -562?\n\"Answer: y**3 - y**2 - 125*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20146, 16887, 13628, 10369, 7110?\nAnswer: 3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 17. Let m be c(-4). Let r(g) = 2*g - 10. Let x(a) = 3*a - 19. Let l(h) = -5*r(h) + 3*x(h). Give l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r**3 - 18*r**2 - 20*r. Let q(g) = -156*g**3 - 10 + 10 - 7*g + 151*g**3 - g**2 - 5*g**2. Let p(l) = -21*q(l) + 6*s(l). Let p(y) = 0. Calculate y.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, h: 5, t: 2, y: 7}. What is prob of sequence hqt?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 5*k**3 - k**3 - 2*k**3 - k**3 + k. List the prime factors of o(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20928 is divided by 85?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32184203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(1 - 1 + 3 + (2 + 0 - 1)*(0 + 0 + 2) + 0 - 15 - 2).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**0)\/u)\/((u\/(u\/((u\/u**(-1))\/u)))\/u))\/((u**(-2\/5)\/u)\/u*u**(-5)))**(10\/13) assuming u is positive.\nAnswer: u**(74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j**2 - 636*j - 247. What are the prime factors of v(58)?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05183 - 2.05183. Put 0.5, v, 1\/5, 2\/13, -0.4 in descending order.\nAnswer: 0.5, 1\/5, 2\/13, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41a4 + 0?\nAnswer: 41a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 5*r + 12. What is the remainder when 33 is divided by b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -8, -c + 15*u + 3 = 17*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 11*w**3 - w**2 - 16*w**3 - 12*w**3 + 41*w**3 to f*w**3 + q + x*w + d*w**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = 7*v. Suppose 4*n = -d + v*d - 12, -3*d = n + 16. What is the remainder when n\/(-2) + (4 - -58 - -5) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*d + 44*d + 38*d)*(7*d**2 - d**2 - 4*d**2 - 5).\nAnswer: 32*d**3 - 80*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439 - -440. Which is the biggest value? (a) -0.15 (b) w (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2 (c) 7\/3 (d) -14 (e) 109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1058514 by -4.\nAnswer: 529257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*q - 5*f, 5*f - 44 - 3 = -3*q. Let c = 19 - q. What is the closest to -1 in -4, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/p**(-6\/13))\/p))\/p)\/(p\/p**(-31)*p) assuming p is positive.\nAnswer: p**(-448\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275 - 92. Let d = 185.18 - y. Let i = d + 0.12. Put 1, -0.3, i in decreasing order.\nAnswer: i, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-183)\/(-3)*17*(-13)\/221?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3020880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*i*u**2 - 17*i*u - 17031789*i - u**2 - 9*u wrt u.\nAnswer: 1190*i*u - 17*i - 2*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o - 7. Let t(p) = -92*p - 15. Let x(i) = -71*i - 12. Let z(r) = -4*t(r) + 5*x(r). Determine z(d(m)).\nAnswer: 156*m - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-140))\/((-4)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 17702 - 60479 = 0. Suppose 36656 + 14564 = 5*w. Let o = w + b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 934*w = 936*w, 2*s = -5*w. What is the fourth smallest value in s, -1, 6\/17, -0.2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + -2878.\nAnswer: -2877.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.74, -5, -1\/2 in increasing order.\nAnswer: -5, -1.74, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (195\/(-26))\/((-1)\/2). What is the greatest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u + 54*u - 428 = 0. Let b = u + -39. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.472 + 0.122. Let t = 63.05 + g. Round t to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122031180*l**2*o - 191041*l + 2*o + 21 wrt l.\nAnswer: 244062360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 3\/5, -0.2, -1\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 9*p**2 + 22*p - 48. What is the least common multiple of 44 and g(8)?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12575 - 12571. Let d(c) = -c - 1. Let z(t) = 12*t**2 + 20*t + 20. Determine y*z(x) + 80*d(x).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, x: 3}. What is prob of sequence xx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 14. Let y be r(12). Suppose -3*k - y*k = 2*t + 28, 10 = -k + 4*t. Let m be 45*(2 - (-10)\/k). Solve 0 = -6*g + g - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-3000)*25)\/((-1)\/(-20)*-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*i - 173*i + 285*i + 354*i - 24*i.\nAnswer: 749*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*y - 2 + 14, -w - 5 = 4*y. Suppose w*q - u = -4, u - 5 = 4*q - 0*u. Which is the third biggest value? (a) -2\/5 (b) q (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 5, 0, -7, -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216910*m + 12*m**2 - 1216910*m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(0 + 0 - 3)*(-4*n**2 - 11 + 11 + (-2 - 1 + 4)*(-n**2 - 3 + 3) - 6*n**2 + 7*n**2 - 9*n**2) to the form s*n**2 + q*n + m and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let c = 4 - r. Suppose -d = -5*g + 4 + 30, c = -5*g - 5*d + 40. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*h + 3*h + 2, 4*n = 3*h + 18. Solve -n = -5*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181576*a**2*t**3 - a**2 - 58421*a with respect to t.\nAnswer: 544728*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(1573)*3 + -5)**2 + (sqrt(1573) - ((sqrt(1573) - (0 + sqrt(1573))) + 0)) + -3)*-1.\nAnswer: -1595*sqrt(13) + 70897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 90026097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/735 + p**6\/84 + 4*p**5\/105 + p**4\/21 - 7*p**2\/2 - 4*p. Let l(j) be the first derivative of r(j). Solve l(x) = 0 for x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 18. Determine y(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from acxem?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*k = -45, -155 = -5*m + m + 5*k. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*x - 7967 = 2541, 2098 = b - 3*x. List the prime factors of b.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 5*p - 3178. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2713 (b) 0.1 (c) -0.196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129015313.\nAnswer: 3, 78852419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljb when three letters picked without replacement from jjjjbbjjjjjjjl.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3 + 5518*s**2 - 1463020*s + 1457504 = 0.\nAnswer: 1, 296, 2462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3958 and 31490.\nAnswer: 31490.3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57934)\/122499 + (-140)\/(-182).\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/78991 and -41\/354541.\nAnswer: 15245263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3175 - 11?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -202595313, -405190628, -607785943, -810381258, -1012976573?\n\"Answer: -202595315*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 16*v + 11*v + 0*v.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*p + 40404 + 72924, u = -5*p + 113293. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -10, 2, 72 in descending order.\nAnswer: 72, 4, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/18 and 73\/2143698.\nAnswer: 6431094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:29 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -185160354+-66.4\nAnswer: -185160420.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (43890\/(-660))\/(14\/4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 4. Let h(p) = -403*p + 9. What is h(w) - 2*q(w)?\nAnswer: -399*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35*(0 - 1) - -1. Let k be t\/72 - 3\/(-12). Let x = -0.012 + -4.988. What is the second biggest value in k, x, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 10 = 0. Suppose 3*f + t = 8*f. Suppose 3*d + 18748676 + 21151318 = -f*u, -5*d = -3*u + 66500009. Round d to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -153240?\nAnswer: 153216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5276 + 5298. Calculate the remainder when 2959 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14254*f**3 + 4*f**2 - 2*f + 20434 wrt f.\nAnswer: -85524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 3. Let u(j) = 3*j**2 - 8. Let s(v) = 8*g(v) - 3*u(v). Let k(q) = -36*q. Calculate s(k(o)).\nAnswer: -1296*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1250\/20)\/25*-5*4\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 242. Let r = j - 137. What is the greatest common factor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {d: 2, n: 2, f: 1, z: 1, a: 1, g: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33212?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*i*p*x**2 - 1524722*i*x**2 + 2*p*x**2 - 2*p*x + 1024756*x**2 with respect to i.\nAnswer: -20*p*x**2 - 1524722*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 2:54 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(500))*-3)**2.\nAnswer: -180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, -7, 3 in ascending order.\nAnswer: -28, -7, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -1706?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*v - 903 = 2982 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 18. Suppose -4*k = 0, 4*l + 3*k - 7*k = -16. Calculate the lowest common multiple of l\/(-8)*(4 - 2) and v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/185*1*(-4)\/3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 23*j + 24 - 14*j + j. Let l(d) = -2*d - 5. Determine -14*l(k) - 3*n(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 568572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 5\/24*n**4 + 1\/30*n**5 + 0 + 0*n + 0*n**3 + 2*n**2. What is the second derivative of s(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*o + 853*o - 1717*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.24. Round x to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -530, -502, -482, -476, -490?\n\"Answer: -v**3 + 2*v**2 + 29*v - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 174941.6313 to the nearest 100.\nAnswer: 174900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 3, 8, 11, 12, 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b + 72*b - 299720 = 97*b. What is the highest common factor of 508 and b?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 8. Let h = 0.2777 + -1.0777. What is the nearest to 0 in m, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 125258?\nAnswer: 375774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126978 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*x + 62 = -3*y, -2*y = 4*x + 52. Let k be 1 + y + -4 + 6. Round k to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 - 115*j**3 - j**2 + 7*j + 3*j - 3*j**2 + 98*j**3.\nAnswer: j**3 - 4*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 3*w**2 + 2*w - 3. Let v(l) = 2*l**3 + 2*l**2 - l + 2. Let d(s) = -3*v(s) - 2*y(s). What is the second derivative of d(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 + q. Let b be x(-1). Let g = -11 + b. Suppose -3*w + g*z - 116486 = -506496, 130020 = w - 4*z. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Let g be (0 - 2)*2\/(-2). Let y be (-2 - 28)*1\/(-3). Suppose y = g*z + 4. Give c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 209460886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396554?\nAnswer: 2, 3, 43, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -3\/476, -4, -1\/3, 2.1, -4\/9?\nAnswer: -3\/476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/22 - 22\/121. Solve d = -4*f + 5*o, -o - 2 + 3 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4\/5, -3, 44.\nAnswer: -3, -2\/9, 4\/5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.202013114026 - 0?\nAnswer: 2.202013114026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -135303 divided by -2?\nAnswer: 135303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -707, -1112, -1517?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u**4\/7 + 348*u**3\/7 - 2882*u**2\/7 + 7128*u\/7 - 576 = 0. What is u?\nAnswer: 4\/5, 3, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6, 378, 3\/4, 3 in decreasing order.\nAnswer: 378, 3, 3\/4, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 j when four letters picked without replacement from {j: 5, g: 1, w: 11, y: 3}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402646 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 + 36*w - 11. Let k be u(5). What is the greatest common divisor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1048 + 211. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4656, -4560, -4458, -4350, -4236, -4116?\nAnswer: -3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/265 or -1?\nAnswer: 6\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -793 - -798. Let r be -3 - -2 - 0\/1. Let s = r - -1. Solve -14 = -2*q - u, 40 = 4*q - s*u + y*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 41 = -19. What is the tens digit of d\/8*(-40)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0087317 rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*x - 519*x + 11484 = -7193 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**(2\/19)\/a)\/a))\/(a\/(((a*a**0)\/a)\/a))*(a\/a**0)**(-48))**(2\/15))**(-11\/3) assuming a is positive.\nAnswer: a**(3938\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/15 - 48*l**5\/5 + 735*l**4\/2 + 4802*l**3\/3 + 860*l + 1. Factor s(u).\nAnswer: 2*u*(u - 49)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204028.\nAnswer: 2, 11, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1460*p**3 - 5460*p**2 - 24375613*p wrt p?\nAnswer: -8760*p - 10920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 1 (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103323332 + -20301?\nAnswer: -110010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -35*j**4 - 445*j**3 - 990*j**2 - 380*j + 200 = 0.\nAnswer: -10, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78737 take away -0.019598?\nAnswer: -0.767772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/260 and 61\/1974.\nAnswer: 256620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 6 + 5*z**3 + 2 + 9 - z as p*z**3 + l + o*z + m*z**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2082707 and -185.2?\nAnswer: 2082892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210 - -1036?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 503, 499, 495?\n\"Answer: -4*i + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 + -29 + 230 - 32?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1620097 divided by 2\nAnswer: 1620097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2780*q - 7549*q**2 - 2780*q as s*q + f + h*q**2 and give h.\nAnswer: -7549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -11*q - 9930. Let t = 385 + q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 45*g**2 + 194*g - 9. Let k be v(-5). What is the highest common divisor of 175 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -127. Let v(g) = -g**2 + 24*g + 1. What is the hundreds digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12379 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 682 and 426095.\nAnswer: 9374090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 7, 2 in decreasing order.\nAnswer: 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -274*r + 51984. What is g(187)?\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.767664 decades in centuries?\nAnswer: 0.4767664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8189 and 2033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-30)*18\/(-5)*(-16)\/224*14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeieeeeeeieeeee. Give prob of picking 1 i and 1 e.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z**3 + 22*z - 22*z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 22*k = -32*k + 73*k + 36 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -380 in ascending order.\nAnswer: -380, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 2. Let p be k(3). Let h be (12\/p)\/(2\/(-5)). Suppose 23 = 5*b + h. What is the greatest common factor of b and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 - 6*d**3 - 2*d**3)*(-15*d - 24*d - 46*d) as x + m*d**4 + s*d**3 + a*d + c*d**2 and give m.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-13))\/(-2) - 60\/(-390)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 8 - 6*k + 31 - 8 + 15 to t*k + w and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-647 + 1291 - 644 + 29013*c + 4*c - 5*c + 0*c + (-c + 2*c - 2*c)*(1 - 1 - 1) + 1 + c - 1 + 0 + 2*c + 0).\nAnswer: 58032*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*s**4 + 11016786*s**3 - 492183096*s wrt s?\nAnswer: -108*s**2 + 66100716*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 25 + 11)*(44 - 126 - 15 - 56)*(3*n**3 + 3*n**3 - 4*n**3).\nAnswer: -6732*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 + 609*x**2\/2 - 1194*x.\nAnswer: -3*x*(x - 199)*(x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192376, -192381, -192398, -192433, -192492, -192581, -192706?\nAnswer: -192873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 17*c**4\/12 - 15*c**2\/2 + 22*c. Differentiate d(h) with respect to h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2)**2 - (-3 + sqrt(52)).\nAnswer: -2*sqrt(13) + 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 18*z**2 - 2*z + 295. Calculate the least common multiple of o(0) and 230.\nAnswer: 13570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 141*g**2 - 2*g + 315. Let u(f) = -237*f**2 + 4*f - 631. What is 5*q(y) + 3*u(y)?\nAnswer: -6*y**2 + 2*y - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602 or 601?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14458495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 13*h**3 - 36*h + 22*h**3 - 7*h**3 to c + l*h**3 + k*h**2 + x*h and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 371040 and 1515080.\nAnswer: 18180960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -27348.\nAnswer: -109392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/9 - 38912*l\/3 + 15007744\/9.\nAnswer: -4*(l - 128)*(l + 29312)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -794.2 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -3 (c) 15 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6070 (b) -5 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o**4\/11 + 221995216*o**3\/11 + 385014489182354*o**2\/11 - 577522108390512*o\/11 + 216570837473568\/11 = 0. Calculate o.\nAnswer: -3468676, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -9. Suppose -v - v + q = 0. Calculate the lowest common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (932\/(-466))\/((-5)\/((-90)\/(-4)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(32 + -39 + (-55)\/(-8)). Let q(i) be the third derivative of 3*i**6\/40 + i**5\/60 - i**4\/12 + 13*i**2. Determine q(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/15)\/4)\/(108\/90).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 2. Let v(b) = b**3 + 7*b**2 + 4. Let t be v(-7). Let x(z) = z**3 - 3*z**2 - 3. Let f be x(t). Solve -m - 4 = l, -4*l = -p*l + 2*m - f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159404 >= -159415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**2. Let l(m) = -m**2 + 348*m. Calculate l(b(r)).\nAnswer: -100*r**4 - 3480*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*p + 2*p = -46, 4*p = -20. Let o be 905\/26*(-4)\/(-5). Let t = o - i. What is the biggest value in -3, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 848368 + -20357255.\nAnswer: -19508887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 3*s**3 - 4*s**3)*(0 + 0 + 2)*(-s - 6*s + 2*s)*(s - 4 + 4 + (-5*s + 5*s - 3*s)*(-4 - 1 + 4) - 8*s + s + 5*s) + 3*s**5 + 0*s**3 + 0*s**3.\nAnswer: 63*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27272 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*i + 280*i = -5*a - 2028, 5*i = 2*a + 831. Which is greater: a or -400?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -22*a. Let h be l(1). Let w = -59806 + 59810. Sort h, w, -1.\nAnswer: h, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -7*m + 52, -10 = -5*m + m + 7*n - 50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 49*s - 15. Determine i(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3081 = -9*p + 8*p, 3*p - 9223 = -4*w. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q. Let j(n) be the second derivative of -n**4\/4 + 5*n**2\/2 + 7*n. Let b(f) = -5*f**2 + 8. Let r(p) = 5*b(p) - 8*j(p). What is d(r(c))?\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11062*s + 951323. Calculate k(86).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004195343 to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103301111 + -2?\nAnswer: 103301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -271, -270, -269, -268?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 601505 (base 9) in base 2?\nAnswer: 1010110110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 - 9*x + 6. Let t be (-20)\/(6 - 11) - -5. Let p be v(t). Let g(c) = c**3 - 7*c**2 + 6*c + 7. What is g(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3056 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -285384 - 2055?\nAnswer: -287450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b - 12. What is the common denominator of 6\/b - 45\/(-40) and 81\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*r + 24*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233042 (base 6) to base 11.\nAnswer: 14126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-27)\/324). Let z(m) = 7*m**2 - g*m**2 - 6*m**2. Let o(p) = 13*p. What is o(z(a))?\nAnswer: -91*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -0. Is (-3)\/n*127\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + x + 38*x**2 - 32*x**2 + 4*x + 60.\nAnswer: 6*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10579?\nAnswer: 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:15 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26838254 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14742 and 143598?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 4, q: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/12 + 35\/(-30). Let b = -81344 - -5124568\/63. Let s = b + -1\/63. What is the nearest to p in s, -2, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c + 134*c + 31*c + 3*c**3.\nAnswer: 3*c**3 + 210*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/10 - 19*b**4\/12 + 11*b**3\/6 - 3*b**2 + 111*b. Is k(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -13\/49 in descending order.\nAnswer: 4, 3\/4, -13\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 89475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*w + 7*w**2 + 1431*w - 4*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-36)\/(-21))\/(20\/(-35)). Let y = -5.5 - -6. Which is the biggest value? (a) 0 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -137872 (c) -6 (d) -2 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*17\/17*(26\/20)\/(-13)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/420 - 13*o**4\/42 + 338*o**3\/21 - 19*o**2. Factor c(b).\nAnswer: (b - 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**5 + 1009*g**3*w + 2*g**2*w + 54*g**2 - 341*g*w wrt g?\nAnswer: -300*g**2 + 6054*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(125) + 0) + (2 + sqrt(245)*-2 + sqrt(245) - sqrt(245)) + 4)**2 + 1.\nAnswer: -272*sqrt(5) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12003816 and 25\/32010176?\nAnswer: 96030528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (553\/140 - (-3)\/(-4)) + -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 164 + 698 = 0. Let h = d - 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(163\/23 + -7). What is the third derivative of -9*d**4 + h*d**4 + 72*d**4 + 65*d**2 wrt d?\nAnswer: 2616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28 + 28)\/((-5)\/(-10)*10). Solve d = 3*m + y + 18 - 7, -m = -4*y - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Let z(b) = -156484*b. Give z(k(d)).\nAnswer: -312968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30807 - 17164. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1883273.7 months?\nAnswer: 15693.9475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1501\/8779 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537526531 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -273, -1053, -2323, -4059, -6237?\n\"Answer: 4*t**3 - 269*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, k: 1, h: 1, y: 7, e: 7}. What is prob of sequence wyhe?\nAnswer: 49\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (1 + 1))*5. Suppose 0 = -3*n + i + 10. Let g = -17 - -30. Calculate the remainder when g is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77738689 to the nearest integer?\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4*h**3\/3 + h**2 + 19. Let j be v(-1). Suppose -203 = -3*d + j*b, 5*d = 2*b + 2*b + 335. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 20 = 3*i, 3*l - 570 = 2*i - 585 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 5573628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 11*o**2 - 1. Let a be k(11). Let m be 3 - a\/((-4)\/(-352)). Suppose 3*t + 4*p - 109 = 0, 2*p - m = -2*t + 3*p. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**15)\/x*x\/x**(-13))\/(x**(5\/6)\/(x\/(((x\/((x*(x*x**4)\/x)\/x))\/x)\/x))) assuming x is positive.\nAnswer: x**(205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*a**2 - 1\/2*a.\nAnswer: a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15483339 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/3)\/((-4)\/(0 + -2)). Suppose 3*t + 4*i = d*i + 120, t - 4*i - 26 = 0. What is the lowest common multiple of t and 20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 - 363.879719098.\nAnswer: -362.579719098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*b + 42, t - b - 5 = 2*b. Let g(a) = 6*a + 4. Let y(k) = -k. Let d(f) = g(f) + y(f). Is d(t) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7199, -14385, -21559, -28715, -35847, -42949, -50015?\nAnswer: -57039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.054809 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*g**3 - 218*g**3 + 108*g**3 + 10*g**2 + 21*g**2 as o*g**2 + c*g**3 + w + i*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -8. Let s = -0.3 + 0.1. Let x = 11.767 - 10.367. What is the third biggest value in o, s, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 4. Let f be r(-3). Suppose n = -c + f, 76 = 4*c + 2*n + 12. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 512*k + 106496. Give j(-208).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 174*f + 120. List the prime factors of l(4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 + 11 = 0. Let l(o) = -o**3 + 8*o**2 - 4*o - 2. What are the prime factors of l(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 33. Let l(a) = 919 - 457 + 110*a**2 + 6*a - 457 - 131*a**2. Let t(h) = -4*h**2 + h + 1. Calculate p*t(f) - 2*l(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1615 + -1616. What is the closest to j in -7, 14, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14895052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48680 - -69664. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 7237*o**2 - 7244*o**2 - 7255*o**2 - 13 + 21741*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.17 + -9.3. Let n = 67 - 68.26. Let o = j + n. Is o less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 14. Let o(t) be the second derivative of -t**2\/2 + 2*t. Let c(j) = -n(j) + 5*o(j). Let y(q) = q + 5. Determine 4*c(v) - 7*y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661859 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.5 + -530.5. Let l = 626.22 - 67.02. Let r = q + l. What is r rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88191893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66035.94 centuries in decades?\nAnswer: 660359.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642225051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/138 and 41\/(-328) + (-237)\/(-2024)?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 145 + 145 + k**3 - 296 + 2*k. Determine o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.162*-1\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*v - 7*v. Suppose -3 - 9 = 3*w, -v = 2*r + w. What is the remainder when 825\/35 + 4\/r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233110?\nAnswer: 2, 5, 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42472*k**2 - 52029 + 52029 + 21140*k**2 + 21132*k**2.\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3962)\/12)\/(-7) + (-1)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.083826 - 1.078. What is f rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**5\/10 + 17*f**3 + 50*f**2 + 99*f\/2 + 453. Factor g(i).\nAnswer: -(i - 11)*(i + 1)**2*(i + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 - 61*j**5 - 93*j**5 + 40*j + 118*j wrt j.\nAnswer: -3000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 30 - c**3 + 131 + 0*c**3. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1152\/(-1792)*(-4)\/6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 14*p**2 - 12*p + 17. Let v be 147\/(-12) + 12\/(-16). Let l be w(v). What is y in 3*y**5 - 9*y**3 - 3*y**l + 2*y**2 + y**2 - 4*y + 10*y = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (80\/(-12))\/(-5). Let z = 6.35 + -6. Let i = -0.75 + z. What is the biggest value in i, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.731 + -36.269. Let l = 30.9 - 31. Is j greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363485119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -178*b + 210. Let a be p(1). Solve 3*u - a = -29 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(32))\/((sqrt(50)*1)\/sqrt(5)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/68228370 and -83\/40.\nAnswer: 272913480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 516408*q - 2582038. Give a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2593221, 5186454, 7779687, 10372920, 12966153?\nAnswer: 15559386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 7?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.21 + -1.23. Let l = r - 22.98. Sort 0, l, 5 in decreasing order.\nAnswer: 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*p - 21647*p - 9889*p - 3625*p.\nAnswer: -35360*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 382 - 1542. Let u = -286 + g. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1\/(-3) - 2416\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**3 - 15*i**2 - 3. What is s(4)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v**2 + 12*v**2 - 9*v**2 + 1243 - 5*v**2 + 2*v. Suppose -3*u = -4*u. Is w(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 5*j = 45*p + 141, -201 = -3*p - 3*j. Calculate the least common multiple of p and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12*1 - -5*(-774)\/22140. What is the nearest to 1 in 2, o, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 + 2*q + 1. Let c be z(-1). Suppose 168 = -c*i - 11*i. Does 14 divide 2\/(-4) - 846\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -629*q**4 - 238 wrt q.\nAnswer: -2516*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -7*o + 6*o. Suppose i - 53 = -3*j, -3*j + 2*i - 34 = -5*j. What is the greatest common divisor of j and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 2, p: 2}. Give prob of sequence mp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112619824 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3 + 1 + 9*q - 11*q. Let x be ((-14)\/(-3) + -2)*(-6)\/4. Let m be (x\/6)\/((-156)\/(-54) - 3). Let v(n) = -7*n + 15. Give m*v(g) - 22*a(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500754*a**5 + 94*a**4 - a**3 + 12*a**2 + 95*a - 129777 wrt a.\nAnswer: 30045240*a**2 + 2256*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 47. What is the tens digit of -1 - k - -100 - (0 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**9\/5040 - m**6\/360 - m**4\/12 + 3*m. Let y(f) be the third derivative of v(f). Find the second derivative of y(j) wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 509*l**2 + 95*l - 715. Let c be n(7). Round c to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*z + 37, 0*h = -4*z - 2*h + 34. Let q be (5\/15)\/((-2)\/z). Let t be (0 - (q - -1)) + 4. Sort 5, -1, t.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -266, -399, -532, -665?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -136586.\nAnswer: 13658.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963601 is divided by 782?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 5 + 3 + 10 - 17. Suppose 4*c - 2 - 2 = 0. Give g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = -33 + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - n**2)*(0*n - 6*n + 0*n) - 2*n**3 - 3*n + n + 0*n to z*n + p*n**2 + t + f*n**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - 108. Let u = m + -61. Let g(a) = 4*a**2 - 5*a**3 - 2*a - 4 + 2*a + 3*a + 0*a. Let y(n) = 11*n**3 - 9*n**2 - 7*n + 9. Determine u*g(b) - 4*y(b).\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhkk when four letters picked without replacement from hkkhhk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 1. Let j(u) = -92*u**2 - 44. Let p(o) = 88*g(o) - 2*j(o). Let a(c) = 2*c**2. Calculate p(a(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -226 (base 7) to base 8\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/18 - 1\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 40 = 8. Suppose -19 - d = -5*x. Calculate the remainder when x is divided by 21\/3 + -1 + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (808\/11)\/4 - 1185\/(-8690).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654503060 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -2 - (3 + (-25)\/4). Let r be (-6)\/4*2\/1. Which is the second biggest value? (a) -4\/7 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-8)*w**(-1\/32)\/w*(w**12\/w*w*w*w)\/(w*w\/(w\/(w*w*w*w*w**(5\/3)*w))) assuming w is positive.\nAnswer: w**(-67\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33 - ((18 - (6 - -19)) + 3 + (0 - -18))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.8 - -0.12.\nAnswer: 16.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-102)\/(-10) - (-6)\/(-30). Is v at most as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 9. Let k = -8 + 13. What is the second derivative of -k*z - x*z**2 + 4*z + 2*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, j: 1}. Give prob of sequence ce.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhy when four letters picked without replacement from {y: 5, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -779, -1296, -1815, -2336, -2859, -3384, -3911?\n\"Answer: -r**2 - 514*r - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089 - 1445 = -181*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5555195 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -169 - 49 + 26 - 190 - 1151*o**3 wrt o?\nAnswer: -3453*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07544673 from 203.\nAnswer: 203.07544673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.366 + -4.634. Let g = -12 - -8. Which is the third biggest value? (a) p (b) 3 (c) 3\/8 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 6541 and 428 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + -2)\/((-122)\/85705)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5724 and 31482?\nAnswer: 62964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.65, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 22, -6, 0.5, -1\/3, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -15 + 12 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31 - 15\/((-15)\/(-8)). Let m(f) be the second derivative of 0 + 0*f**3 + 1\/3*f**4 - 3\/10*f**5 + s*f + 0*f**2 + 1\/15*f**6. Determine c so that m(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1945.97 and -0.07?\nAnswer: 136.2179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2\/(-6)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k - 60. What are the prime factors of -2 - (0 + k + 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 119*s**3 - 44*s**2 + 2*s - 10. Let v(q) = 121*q**3 - 55*q**2 + q - 11. Calculate -5*u(t) + 4*v(t).\nAnswer: -111*t**3 - 6*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**2 - 3*w - 6 + w**2 + 3. Let f be r(4). Solve -f = -4*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2934 + 1036105.\nAnswer: 1036104.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:17 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 226*t**4 - 57217*t**2 + 57217*t**2 + (1 - 2*t**2 - 1)*(3*t**2 - 4*t**2 + 2*t**2) + (-6*t**2 + 2*t**2 + t**2)*(0*t + 1 + 0*t + 4*t**2).\nAnswer: 212*t**4 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 2*s**2 - 6315900*s**3 - 3*s + 6315516*s**3 + 2*s**2 + 1.\nAnswer: -384*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - h - 6 = 0, -3*v = -5*h - 5 + 10. Let y be (-12)\/15*1*-5. Solve -v*s + 21 = -y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let y(q) = -q**3 + 6*q**2 + 8*q - 6. Calculate the remainder when i is divided by y(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*30\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15246900 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 3*m + u, 3*u = -5*m + 10. Suppose -2 = m*l - 80. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 51 = 3*y, -2*z + 0*z - 4*y + 16 = 0. Suppose -z*c + 17*c = 15. Is ((-586)\/c)\/(12\/(-30)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 divided by -484?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o**2 - 8*o - 6. Does 19 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-18)*((-21)\/(-27))\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10704, -43 in descending order.\nAnswer: 10704, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224931.\nAnswer: 3, 7, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5020 - 1925. What is the lowest common multiple of j and 10?\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/225544 and 107\/4510?\nAnswer: 46236520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080041 rounded to four dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 45 + 75 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 1. Let o be m(-2). Suppose o*x = 2*x + 12. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 78. Let o(w) = 0 + 1 - 3*w + 4*w + 4*w. Let l(x) = -11*x - 3. Suppose 5*s + 1 = -9. Calculate g*o(y) + s*l(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 0.\nAnswer: -26, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-36))\/((-2)\/45*3). Put z, 2, 9 in ascending order.\nAnswer: z, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 6)*(-2)\/5. What is the units digit of (1\/(-2))\/((-1)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(1628\/(-110))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 3. Let w be (g\/10)\/((-2)\/(-5)). Let k be 1\/(1\/((-8)\/(-52))). Which is the third biggest value? (a) w (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1360 divided by -4\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -443706314105\/6559508144 - -219705\/3248. Let g = -861951276459\/40391060 + k. Let h = g + 21346. Calculate the common denominator of -41\/20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40420 + -212222?\nAnswer: -131402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3183 or 0?\nAnswer: -2\/3183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -35, -53, -89, -149, -239, -365?\n\"Answer: -y**3 + y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, 6, 23, 46?\n\"Answer: 3*f**2 + 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7912 - -47357\/6. Calculate the common denominator of d and 5 + 14\/(-4) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 25*u**2 + 33*u - 27. What are the prime factors of r(26)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/63 - 11*s**6\/45 + 4*s**5\/5 + 2*s**4 + 84*s - 2. Factor j(p).\nAnswer: 2*p**2*(p - 6)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -927 = -4*c + 193. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyl when three letters picked without replacement from {j: 2, f: 4, k: 2, l: 1, y: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466281 is divided by 854?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1162*a + 1151*a - a**3 - 3492*a + 1179*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 6*a + 6*a**3 - 4 - 2 - 2*a**2 + 5. Let r(c) = 13*c**3 - 5*c**2 + 7*c - 3. Give 7*j(z) - 3*r(z).\nAnswer: 3*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from peveemeevepemevre.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -11\/2*y**3 - 12 + 45\/8*y**4 + 3\/40*y**6 + 0*y - 4*y**2 - 37\/20*y**5. Let v(o) = 0. What is o?\nAnswer: 1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-299)\/(-115) - 3)\/(466*1\/10)\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:23 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 431 = 8*h + x, h - 4*x = 119. Calculate the remainder when 321 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1058712787 - 3?\nAnswer: 1058712784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = j + 17, 0 = -32202*j + 32203*j + 3*r - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 121 = 326 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/3 - 5482*k**2\/3 + 182960*k\/3 - 343976\/3 = 0.\nAnswer: -2774, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(9\/5)*b)\/(b*b**(-3\/16)))**(-1\/9) assuming b is positive.\nAnswer: b**(-53\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8916065\/9 + -990673. Let v - 2\/9*o**3 + 8\/9*o - 2\/9*o**2 = 0. Calculate o.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106024 (base 7) to base 6.\nAnswer: 223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/24)\/(3\/(-18)). Let n be (3\/(-9) + (-28)\/6)*p. What is the derivative of 10 + 18 - n*l + 21*l wrt l?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3971147*f**3 - 4*f + 405135.\nAnswer: -23826882*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 48, -5, -2, 1 in ascending order.\nAnswer: -5, -2, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 178665616 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25*37\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*l - 9*l. Suppose 0 = 8*j - l*j - 66. What is the derivative of -4*d**3 - j - 127*d + 0*d**3 + 127*d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, o: 3, g: 4, s: 8}. What is prob of sequence gn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = t - 3027, -2*t + s = 198 - 6237. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26048\/21 or 0.88?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/44*-8 - 10\/55. Let p(r) = -2*r - 6. Let s be p(-4). Let x be ((-36)\/(-22))\/s + -1. Is x at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122765 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5730?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/420 + s**7\/210 + s**6\/45 + 14*s**3\/3 - 22*s**2. Let d(f) be the first derivative of u(f). Factor d(j).\nAnswer: -4*j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 2. Suppose 31 = -4*p + 9*r - 6*r, -2*r = 3*p + 19. Calculate a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - 3 - 5 - -3. Let v(p) be the second derivative of 1\/6*p**4 + 1\/3*p**3 + 3*p + 0*p**c + 0. Find x, given that v(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 2 = 0. Let z be v + 2 + 1 - -2. Let u = 13 - z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 65*j.\nAnswer: 5*j*(j - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -48. Let i = w + 12. Let h(u) = -u**2 - u - 2. Calculate h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 4*w + 8. Give u(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let g = 6 + -4. Let c = g + -1. Sort x, c, 1\/7.\nAnswer: 1\/7, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 103, 153, 203, 253?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 3*z**4\/8 + 4*z**3\/3 + 16*z**2. Let c be n(2). Suppose -6*q + 206 = c. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/360 and 13\/2088.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-3 + (-48)\/18 + 5). Let j(m) = -8*m - 1. Let v be j(-2). Suppose v*p + 15 = l. Solve 2*s + 14 = -p*s - 4*q, -3*s - 5 = 2*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2004049595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 74729356?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + l + 2. Let q(k) = -9*k**2 - k - 4. Let z = -8 + 5. Let w be 9\/z*(2 + -1). Let a(h) = h. Let f be a(-5). Calculate f*p(u) + w*q(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.3 + -1. Round l to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000066418 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.9032667 to three dps.\nAnswer: -22.903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242573941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = n - 3*r - 15, 4*r - 112 = 5*n. Let t be (-5)\/2*n\/(-175). Which is the third biggest value? (a) t (b) 1\/4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*225\/(-60). Suppose 13 = 3*b - j, 8 - 9 = v*b + 4*j. Factor 0*m - 2\/15*m**b + 0 + 4\/15*m**2.\nAnswer: -2*m**2*(m - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170872 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i**(2\/25)*i)*i)*(i\/(i\/i**39))\/i*i assuming i is positive.\nAnswer: i**(977\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -9. Suppose -13*r = -11*r - 50. What is the remainder when r is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 487 + -1967\/4. Suppose 4*o - 8*o = -100. Find the common denominator of m and ((-215)\/o)\/((-8)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38029 is divided by 3457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87624 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -86127818.\nAnswer: 344511272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*g**3 - 196*g**3 - 233*g**3)*(-8*g + 2*g + 0*g).\nAnswer: 3126*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 36. Let u be d(-11). Suppose c - u*s = -0*s, 0 = 5*c - s. Let b(o) = -o + 5. What is b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 73511444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 979305 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.261458us?\nAnswer: 0.007261458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 - 224 = 31*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {y: 6, i: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 18*w = -1385. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 128106*a - 1024842. Determine q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-20)*(-30)\/(-12). Let y(d) = 266*d + 3. Is y(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from nxnxxxxxxxxnnxxxxxxn?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in -0.2, -31\/13, -127\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 437476044 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -547293?\nAnswer: 2\/547293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0 - 5 - j**2 - 3*j**2. Let l be ((-15)\/(-25))\/((-2)\/(-10)). Let d(i) = 8*i**2 + 1 - l*i**2 + 5. What is 5*d(t) + 6*k(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqsrrrrrnqr. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 11:04 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139.4 + 161. Let j = v + 25. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -888*p + 10677. List the prime factors of u(-9).\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.337 and 0.3.\nAnswer: -5.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-12))\/(350\/75)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(17)*-4 + -2)**2.\nAnswer: -32*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.946405us to milliseconds.\nAnswer: 0.007946405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 3*l. Let m(p) be the second derivative of -14*p + 0*p**2 + 0 + 5\/12*p**4 - 7\/6*p**3. What is -7*i(q) - 3*m(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1156002 (base 7) to base 6\nAnswer: 3103333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -13 - (-2 + -1) - (-31 + 29)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.007673 - 3.007673. Let n = 0.3 + 0.2. Which is the smallest value? (a) n (b) -5 (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i + 13*i - 12*i**2)*(-609*i - 594*i + 755*i**2 - 1 + 1203*i).\nAnswer: -9060*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5229 = 23*l - 4316. What is the closest to -0.8 in 3, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657 is divided by 455?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*i = -124, 0 = 4*i + i + 10. Find the common denominator of (-201)\/s - (-2 - -1) and -74\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*w - 23, 17*w = 2*x + 18*w - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 0. Suppose -l = -9 - d. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/21 (b) -4 (c) -1 (d) 2 (e) -0.0093\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212*-131030.\nAnswer: -27778360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -117 (b) -0.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y. Let s(c) be the second derivative of c**4\/2 - 50*c. Calculate s(t(i)).\nAnswer: 384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72620 is divided by 460?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c**8)**(-22)\/(((c\/((c*c**6)\/c)*c)\/c)\/(c*c**(-2\/13))*c**5*c\/(c*c*c**(-3\/8))) assuming c is positive.\nAnswer: c**(-158783\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006527 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-3612))\/((-7)\/252*1*3\/(-1))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822 - 822 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 10*l**3 + 19*l**2 + 30*l.\nAnswer: l*(l - 6)*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35067*d**2 - 5045*d**2 + 36340*d**2.\nAnswer: 66362*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54153401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569 - 3451 = 277*j - 142 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10180897 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 6*f + 6*f - 8. Let z(u) = 2*u**2 + 8. Let j(g) = -3*h(g) - 4*z(g). Differentiate j(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-100)*-2 + (-1208)\/(-240) + -5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 7*n**2 - 10*n + 4. Let h be y(-4). Let g(r) = r - 2*r - 11*r + 11*r + 2. Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*x + 38752 + 27308. Let g = -2087 - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 6*w - 18. Suppose 6*r - w*r + 816 = f, 2*r - 826 = -f. Find the common denominator of -9\/2 and (f\/(-32))\/(-3) - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x - 840 = -70*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*a**2*y*z**2 - a**2 + a*y*z**3 - 20*a - 2*y*z**2 - z**3 wrt y.\nAnswer: 16*a**2*z**2 + a*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 81*i - 1101. What is z(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 2, i: 2, z: 5}. What is prob of picking 1 s, 1 z, and 1 c?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 21. Let p be g(11). Let i = 1 + -0.8. What is the second smallest value in i, p, 1.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 6\/7 (c) -7.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7)*p)**(2\/53)\/(p**(2\/3))**(-1\/61)*(p**(-1\/3)*((p\/(p**1\/p))\/p)\/p)**(5\/6) assuming p is positive.\nAnswer: p**(-206516\/203679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 6) + 2 + -8 + 3 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3593 and 35930.\nAnswer: 35930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 44*c**4 + 34*c + 2 wrt c.\nAnswer: 20*c**3 + 528*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 31) + (-3 + 3 - (1 + 6) - 28)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a (base 13) in base 5?\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5056482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 202.31667?\nAnswer: -199.31667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -0.3. What is the smallest value in -4\/5, z, 0.1, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-54))\/(((-25)\/6)\/5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.325913 centuries in millennia?\nAnswer: 0.6325913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-678*z**2 + 678*z**2 - 5*z**3 - 5)*(6*z**2 - 4*z + 4*z + (4 - 3 - 2)*(-2*z**2 - 4*z**2 + 4*z**2) + 3*z**2 + 0*z**2 - z**2).\nAnswer: -50*z**5 - 50*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 660*c - 21768. Give z(33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let b be c(2). Suppose j - b*n - 153 = -0*j, 0 = -3*j - 5*n + 374. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/21985335 and -139\/348?\nAnswer: 87941340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 6) + -1 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1957 - -3588. What are the prime factors of i?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 31, 4, -21, -7.\nAnswer: -21, -7, -4, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 - 2*l + 1. Let g(r) = 10*r**2 + 5*r - 3. Let b(d) = 2*g(d) + 5*k(d). Let j be ((-3)\/(-6))\/(-3 - 25\/(-10)). What is b(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -34. What is the closest to -1\/2 in 2\/3, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.44405 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/4309 or -22?\nAnswer: 4\/4309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 15, u: 3}. What is prob of picking 2 u and 2 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4005?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 - -1011000110?\nAnswer: 1100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44016)\/(-3275))\/168 + (-116)\/825.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 1 = m, -2*o = 3*m + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 31. Suppose -12 = -4*c + 8. What is the remainder when n is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddsx when four letters picked without replacement from xoooosoooodssoowowd.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 699 - 1553. Let i be 1*824\/(-2982) - 244\/a. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7704800*b**6 - 63741*b**2 + 6*b + 2 wrt b?\nAnswer: -924576000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-14))\/(37\/(-6993)). Suppose -3*r + 22 = -32. What is the highest common factor of r and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.549008 millilitres to litres.\nAnswer: 0.005549008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)*l**4*l*l*l)\/(l**(-5)\/l**(-1\/5)))\/((l*l*l**(4\/5)\/l)\/(l**(-1\/18)\/l))**(-17\/5) assuming l is positive.\nAnswer: l**(4877\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j**2 + 9. What is z(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - -77.5. Let n = d - 77.9999963. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwhhhhhhwww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -14, -55, -142, -293, -526?\n\"Answer: -3*i**3 + 4*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -1\/20*x**5 + 11\/2*x**2 + 0 - 2*x + 3\/2*x**3 + 2\/3*x**4. List the prime factors of n(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 5*i - 3*k, 5*i + 356*k - 357*k = 327. What is the greatest common factor of i and 3392?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93\/2 + 50. Let l(i) be the second derivative of 0 - g*i**2 + 1\/6*i**3 + 5*i. Give l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/11 + 17029\/(-2))*348\/15. What is v rounded to the nearest 1000?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032591 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 29319*r + 917. Is p(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + -4*(-3)\/6. Let t = -7 + u. Let y(h) = -8*h - 2 - 4 + t + 2*h. Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (27 - (-9 - -23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2 - 1321385*g + 3964200 = 0.\nAnswer: -264280, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*c, 4*r - 45446*c = -45442*c + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2130120843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 3. Suppose -513 = -22*u - 35*u. Suppose 4*z + 51 = -2*i + 41, -i = 3*z + u. What is m(i)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*b + 56*b - 10628. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {j: 3, e: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 22 + 18 + 53 - 90 + 11.\nAnswer: 2*z**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0432531 - -0.0433. What is p rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 8. Let l be 16\/6*(-12)\/k. What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-227*z + 161*z - 263*z - 61*z)*(1 + 0 + 1) to the form v + a*z and give a.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*r - 8 + 9, 0 = w + 3*r + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5\/8 + 15*r**4\/8 + 21*r**3\/8 + 9*r**2\/8.\nAnswer: 3*r**2*(r + 1)**2*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 = 12. Let a(o) = 5*o**2 + 26*o + 45. Let f(q) = -2*q**2 - 74*q - 146. Let t be f(-35). What is the least common multiple of a(t) and d?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from gegcpgppppgpgqp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -13534012?\nAnswer: -13534020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-21*(-16)\/56). Let z(k) be the first derivative of -13 - 3\/2*k + 1\/6*k**3 - s*k**2. Let z(n) = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-96)\/(-504))\/6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svsj when four letters picked without replacement from {v: 4, s: 5, j: 6}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/7 - 23176*k**3\/7 + 33593600*k**2\/7 - 67094528*k\/7.\nAnswer: 4*k*(k - 2896)**2*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 882380879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 0.14, -15, 2\/9?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/583 <= 2\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a*v + 360*v wrt a?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = 0, -3*j = -3*c - c + 213. Suppose 4*t - c = 30. Suppose -95 = -4*p + t. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189481065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 313, 0.3, 12?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l - 10. Let f be (369\/(-3))\/(6\/(-4)). Let k = f - 44. What is the remainder when k is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-30\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98010 is divided by 778.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099282938 rounded to seven dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55207*j**2*v - 1246160*j**2 + 6*v wrt v.\nAnswer: -55207*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 43*g**2 - 86*g - 162. Suppose 5*d = 3*h + 99, -4*h + 39 = -4*d + 123. What is the least common multiple of d and n(45)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -402 + 401.99546. Round a to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-70))\/((-30)\/150)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 10. Let n be (-21)\/56 + (-38)\/(-16). Suppose q = -n*u + 39. Calculate the highest common factor of 169 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18\/7))**44\/(p**(-9\/4))**(-50) assuming p is positive.\nAnswer: p**(-3159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 8) to base 16.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/6 (b) 2 (c) -2 (d) 1\/9 (e) 1 (f) -0.1 (g) 1704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 5*h + 5, -12*k - 7 = 2*k - 16*k + 5*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2673.0639 and 0.09.\nAnswer: 240.575751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {s: 5, x: 4, m: 1, a: 5, l: 2, v: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 265471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 36*s - 13. What is f(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:17 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 0 + 0\/1. Suppose 0 = -2*o - 5*s + 51, -5*o - 5*s = -91 + 1. Is o greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89086925*m**2*v**4 - 2632*m**2*v + 25808*m*v + 2*v**5 + v - 2 wrt v.\nAnswer: 1069043100*m**2*v**2 + 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 84. Let m = -21 + b. What is the remainder when m is divided by 1\/1 + (2 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (30 - 15) + -81 + 4 + 0 + -4.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 20, -0.3, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/1289 (b) -4 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2. Suppose 722*f + 45 = 737*f. Let j(a) be the first derivative of -1\/3*a**f + 0*a - 1 + 0*a**2. What is j(t(s))?\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 382.7691mm?\nAnswer: 0.3827691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.2 + 0.8. Let i = -15 + w. Let z = 0 - -4. Which is the biggest value? (a) z (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 312 (c) 3\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ab (base 13) to base 11.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106194 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51 - 39)\/(((-4)\/2)\/(-1)). Suppose p + 3*j - a = 0, -2*j = -2*p - 2*p - 4. Suppose 0 = -5*i + 4*q + 56, p = -2*q - q - 12. Solve -i = z - 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 7270272497.1\nAnswer: 7270272497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 52 = 9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 - 205. Let k = 25.4 + a. What is the third biggest value in -5, k, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9480 divided by 395\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -151*i**3 + i - 9. Let v(n) = -38*n**3 - 2. Give 2*s(h) - 9*v(h).\nAnswer: 40*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -516*z**2 + 20*z + 37. Let g be c(-2). Let b = -1227 - g. Is 82 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 2049282 = 5*x. Let m = x + 66546. Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h = 129*h. Suppose h*u + u + 4*i = 184, 4*u - 770 = i. What is the highest common factor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**23\/(h\/h**(-1)*h) assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let k = -125 - -127. Solve r - t = -0*r + 2*c, r - c = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 + 27\/4. Let j(o) = -4*o**3 + 2*o**2 + 2. Let d = -6814 - -6797. Let h(c) = -11*c**3 + 6*c**2 + 6. Calculate d*j(w) + z*h(w).\nAnswer: 2*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + 9c?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/48675 and -71\/252225?\nAnswer: 2774475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p - 45*p - 605 = -4330 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201331062 and 9909?\nAnswer: 201331062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 9. Let q be i(6). Suppose -5 = -2*k + 3. Suppose r - k + 3 = 0. Are q and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234*f**2 - 59 - 60 + 119 - 218*f**2 to the form x*f + q*f**2 + u and give q.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 7*v**2 - 13*v**2 - 13*v + 9 - 14*v**2.\nAnswer: -(4*v + 5)*(5*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g - 1. Let s(q) = 2*q**2 + 4*q - 3. Suppose -4*w - 62 + 58 = 0. What is w*s(t) + 3*l(t)?\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b - 378. Let r be d(21). Solve 12*v + 6 + 18 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let i be (-132)\/(-3 - 8) - 5. Solve -2*o - q*d = o + i, 2*o - 12 = 2*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 + 227 - 19*t - 406.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*i - 195*i = -3*f + 66, 12*f + 5*i - 4 - 243 = 0 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 3*o**2\/2 - 4*o + 2. Let i be k(4). Suppose 24 = 3*g - 0. What is the highest common divisor of i and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**2 - 18*b - 1. Let o(h) = 7*h**2. Determine -f(d) + o(d).\nAnswer: -6*d**2 + 18*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -427b - 4b48?\nAnswer: -8dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -139, -142, -155, -184, -235, -314?\n\"Answer: -i**3 + i**2 + i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4 - (9 - 11)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a + 19. Let y be i(8). What are the prime factors of (-30)\/(-105)*(3 - -2*y)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(156) - ((sqrt(156) - -4*sqrt(156)*-2) + sqrt(156)))\/(4*(sqrt(12) - (sqrt(144)*2)\/sqrt(12))*-3).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4. Let h(v) be the second derivative of v**3\/6 + 142*v - 6. Give 6*h(c) - z(c).\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 + r**3\/3 + r**2\/2 + 10*r - 9. Let j be n(0). Let h = 28\/3 - j. Which is the nearest to 0.1? (a) 2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9917 or -9913?\nAnswer: -9913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -22 + 52. What is the least common multiple of n and ((-10)\/(-3))\/((-3)\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (6 - 4) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125550 divided by -6975.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15805.\nAnswer: 5, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(24)\/sqrt(2) + -2).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/5, 45, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*x + 3*x, 0 = -2*n - 3*x + 21. Solve -3*v + 6*v = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4830840.636 rounded to the nearest ten thousand?\nAnswer: -4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16671 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*n + 12. Suppose -n*q + 54 = 48. Suppose -10368610 = 3*w - q*r + 7181398, 5*w - 5*r + 29250020 = 0. Round w to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-312)*-26 + 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02696 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -205, -1, 2\/7, 0.03, -0.2, 1\/2?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvoooomxvmmmx. Give prob of sequence vxv.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s - s**2 + 0*s**2 + 4 + 0*s**2. Let r(w) = 3*w + 61. Let d be r(-21). Let j be (9\/d)\/(-7*3\/(-28)). Give n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) 35 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**27\/k)\/k)\/k)\/k*k**19 assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, j: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3518\/3 - -1175. Suppose -3*u = -4*u + 3. Suppose 2\/3*c**2 + v*c**5 + 0*c - 4*c**4 + c**u + 0 = 0. Calculate c.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-578)\/(-4624))\/((18\/16)\/3)*-114?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*l*m**3 + 2*b*l*m**2 - b*l*m + l*m**3 - 5*l*m + 7*m**3 + 5*m**2 wrt m.\nAnswer: -12*b*l + 6*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(525\/(-119))*-5. Put b, 25, 5 in increasing order.\nAnswer: 5, b, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6367.\nAnswer: 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 3024430*o.\nAnswer: -2*o*(o + 1512215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98783, -197434, -296085?\n\"Answer: -98651*m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s - 3*a - 20, 4*a + 14 = s. Let w = -1 + s. Let k(o) = o - 8. Let x be k(5). Is w <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -99 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12267707 to the power of 1\/2, to the nearest integer?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/50, 33, -7.35 in decreasing order.\nAnswer: 33, -1\/50, -7.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (10 - (-2 - -7)) + 2 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 7. Let d be 3*((-52)\/6 - -2). Let c = d + 39. What is the remainder when c is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 b, and 1 h when four letters picked without replacement from hqhbhbhbqqbbqhbbqb?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1540363628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68\/5 (b) 2\/13 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 27*x**2 - 44*x - 2. Give u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-3)\/(-2))*(-19 + 19). Suppose j = 4*j - 15. Suppose 4*x + j = 5*i, c = -5*x - 0*i + 5*i. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1600353876 to the nearest integer?\nAnswer: 40004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76656, 76652, 76648, 76644, 76640, 76636?\n\"Answer: -4*k + 76660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100688 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -s + 6*m + 16750, 0 = -s + 2*m + 16751. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -193. Solve 0 = 3*k - 4*k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92664 is divided by 23156.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 1\/2, -10\/9, 0.65?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b**2 + 2)*(-2*b + 0*b + b) + 2 - 2 + b**3 + 94 + 134 - 6*b**3 - 276 - b**2.\nAnswer: -7*b**3 - b**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**6\/120 - f**5\/10 + 5*f**2 + 8. Let w(o) be the second derivative of j(o). Find the third derivative of w(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 32*w = -135, 9654*z - 9650*z + w + 32 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*r + 8 = 0, -3*r + 4*r = 3*t - 17. Suppose -t*q + 6 = -3*q. Differentiate -6 - 8 - h + q*h - 17*h with respect to h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(6\/17)*(((k\/(k\/k**(2\/9)))\/k)\/k)**(-2\/37)*((k**1)**17)**(-41) assuming k is positive.\nAnswer: k**(-27620207\/39627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21360 by -7120.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 9827*l + 9826*l = -5, -2*l = 32*d - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*f + 16, -u + f - 7 = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 6 - 2)*1. Suppose 3*f - 8*f = -x*f. Suppose -y - y + 2122 = f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oocdzcxcooccooc. What is prob of sequence oo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssszsssz. Give prob of sequence zz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/927, 327, -3\/2?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11411 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 4. Suppose -92 = -7*y + 3*y. What is the remainder when y is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -1. Let u = 18 + j. Let a(q) = 16*q + 100. Let g be a(0). What is the greatest common divisor of u and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123.7 - 121.7. Which is the closest to -1? (a) 21 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 10*a**2 + 22*a + 6. Suppose -7*r - 8*r = 180. What is the smallest common multiple of g(r) and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 168, 217, 286, 381, 508, 673, 882?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 18. Let l = -569 + 315. Let p = 253.5 + l. Which is the biggest value? (a) 0.2 (b) -4\/3 (c) p (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103607 and 11767.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xonnoonxsb. Give prob of picking 1 s and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22088 - 8733. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3753 - -1015. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 48. Suppose 0 = -5*y - 2*l - 87, 0 = 2*y + 6*l - 3*l + 37. Let z be p(y). Calculate the highest common factor of 135 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 96.81012ng?\nAnswer: 0.09681012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 - -122232000?\nAnswer: 122232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24204035 (base 6) to base 9\nAnswer: -1382485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/16 - n**3\/2 - 2*n + 56. Factor u(v).\nAnswer: 3*v*(v - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19731 - -19733. Factor -3\/5 - 4\/5*a**5 - 12\/5*a**3 - 2\/5*a**r + 8\/5*a + 13\/5*a**4.\nAnswer: -(a - 1)**4*(4*a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/16 + 3\/16. What is the second biggest value in -6, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 11 = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2478 = 5*g + 2383 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 6) to base 2.\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 16}. Give prob of picking 2 r.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9552.4 - 9552. What is the nearest to 4\/5 in 4, 0, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24727743)\/2)\/((-4)\/(-3328)). Let z = -172076604829451\/16728 - w. Let i = z + -1\/5576. What is the common denominator of 31\/14 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1*5\/150*10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -5*o**4\/12 - 3*o. Let v(h) = -h. Give x(v(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = -5*i. Let m = i - -8. Suppose 33 = 5*t + 2*o, -3*t = -m*o - 0 + 1. Solve 2*s = -4*v + 2, 2*v - 37 = t*s - 2*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 914570.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14718, -29404, -44090, -58776?\nAnswer: -73462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 975\/6 + (-11)\/22. Let z = p - 323\/2. Let x = -0.6 - -0.2. What is the nearest to 0.03 in x, 3\/5, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 4*a - 3. Calculate l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159\/8 or 21?\nAnswer: 159\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v)\/v**(-4))**(-4)*(v**(-2\/15)*v)\/(v*v*v**4)*v**(-1)\/(v\/(v\/v**(-2))) assuming v is positive.\nAnswer: v**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 222\/12 - (-2)\/(-4). What is the greatest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let p(s) = 5*s. Let m(w) = -14*w - 1. Let k(c) = 4*m(c) + 11*p(c). Let a be k(j). Put 0.4, a, 0.5 in descending order.\nAnswer: 0.5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -25. Let t = z - 41. Let m = 0 - -4. What is the nearest to -1\/4 in t, 2\/11, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10*m + 10 = 0. Suppose 14*r - 33204 = m*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a63 + 4?\nAnswer: -1a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73570 or -73607?\nAnswer: -73570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1026)\/2280)\/(3\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 104.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2414 plus 0.4?\nAnswer: 0.6414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1969, -9, -0.7, 2\/7 in descending order.\nAnswer: 2\/7, 0.1969, -0.7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.29 + -12.71. Let w = 12.984 + a. Round w to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 + -2)*-7)\/((-2)\/22). Let q = s - 56. Calculate the remainder when q is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 30 = -2*l, -3*k = l + 17 + 66. Let j = k - 17. Let a = 65 + j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(68) + -1)*-5 - sqrt(68)) + sqrt(68)*1*6)*-6)**2*3.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 63*x + 58 = 0. Which is the closest to x? (a) -0.4 (b) 17 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5479, 5482, 5485?\n\"Answer: 3*q + 5476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 51 = -g. Let q = g - -75. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o + 6. Let r(i) = i**3 + 74*i**2 - 241*i - 742. What is the lowest common multiple of r(-77) and l(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -18*q - 4. Let l be (22\/3 + -4)*18\/10. Let v(g) = -17*g - 3. Calculate l*v(k) - 5*i(k).\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1054 and 12.97.\nAnswer: -1.367038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -5, -6\/5, 2\/23.\nAnswer: -5, -6\/5, -0.01, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.945 - 0.055. Which is the closest to z? (a) 2 (b) 3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12\/3 - (-3330)\/(-592).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.066 + 0.354. Let q = l - 0.35. What is q rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1)\/((-4)\/(-8)). Put -2, 7, w, 2 in ascending order.\nAnswer: w, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59094 and 108339.\nAnswer: 650034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 341 = 37*a. Sort 6, a, 5, 3.\nAnswer: 3, 5, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(76) - ((sqrt(76) + -1 + sqrt(76) + sqrt(76))*1 + sqrt(76))) + -5*(-2 + sqrt(76))) + 5 + -4 + -2*sqrt(76) + 6*(sqrt(76) + 1 - sqrt(76)))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-34)*p)\/p**29*((p*p**(-39)*p)\/p*p)\/(p\/(p\/p**0)) assuming p is positive.\nAnswer: p**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.64 + -1.84. Let r = 7.11 + -0.11. Let g = r - 4. What is the third smallest value in -1\/8, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Let q(b) = -2*b - 1. Let z(c) = -q(c) - r(c). Let v(a) = -3 + 7 - 2 - 3. Give v(s) + z(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3723752443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 1\/42*h**7 + 0*h**4 + 0*h**6 + 5*h + 0*h**5 + 0*h**2 + 13\/6*h**3. Find the second derivative of k(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 57 - 743. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*v**4 - 15332*v**3 + 2*v**2 - 15411335*v.\nAnswer: 360*v**2 - 91992*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5955 + 6824 + 1945 - 6884 + 71212 + 38166)*(1 - 2*n - 1) as o + q*n and give q.\nAnswer: -234436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3 - 3*m - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 3*a**4 + 0*a**4 + (-7*a**2 + 2*a**2 - a**2)*(0*a**2 + 2*a**2 + 0*a**2).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c**2 - 2*c)*(((2 - 1 - 2)*(2*c - c + c) - c - 3*c - 2*c - 1 + 1 + 2*c)*(2 - 2 - 21) + 2*c - c + 5*c) as y*c**2 + i*c + g + f*c**3 and give f.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/11 (b) 4\/435 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -419\/3 (c) -819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -886 or -899?\nAnswer: -899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198 + -146 - (-5 + 2 - 4)) + -18.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2781*m**2 - 9*m + 18. Let q be b(2). What is the hundreds digit of 4\/6 + q\/81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 3 - 2 + 6. Let i(d) = 10*d + 3. Let t(o) = 3*g(o) + i(o). Let a be (-7 + 2)*(-3)\/5. Let n(w) = -7*w - 11. Calculate a*n(b) + 5*t(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(448) + -1)**2*4)*5 - (0 + ((1 + sqrt(448) + 2)*-6)**2).\nAnswer: -7472 - 2048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4 - 3*h**2 - 4*h**2 - 4*h + 6*h**2. Let o be (-1 - 0) + 0 + 0. Let n(s) be the second derivative of -s**3\/6 + s**2\/2 + 2*s. What is o*m(b) + 6*n(b)?\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.56 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:08 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3917109\/88 + 44512. Calculate the common denominator of 83\/56 and l.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117) + sqrt(117))*5 + 1 + -1*sqrt(117))**2 + 3.\nAnswer: 324*sqrt(13) + 9516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 417639932307*k**2 - 532805364*k + 169932.\nAnswer: 3*(373113*k - 238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4690553 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368507\/36 + -10237. Let t = w + 11\/12. Let n = -3 - -2.8. Which is the nearest to n? (a) t (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let y be (2 - 1)\/(2\/4). Let k(t) be the third derivative of -t**4\/24 + 137*t**2. What is y*k(d) + n(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/11 - 5\/11. Let d = 109 - 97.8. Let m = d - 13.2. Which is the biggest value? (a) -4 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.83 + 0.17. Put f, 1\/4, 1\/7 in decreasing order.\nAnswer: f, 1\/4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1334988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10982)\/(-15))\/(-38) - ((-3)\/(-10))\/(-3). Let s be (-957)\/(-6)*(-2)\/15. Let q = v - s. Find the common denominator of 109\/44 and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-16)\/6))\/(3*(-16)\/(-16))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z**1*z*z))\/z)**(-4\/17)*(z*z**1)**(-42)*(z\/z**(2\/3))\/((z\/z**(-6))\/z)*(((z*z**(2\/5)*z)\/z)\/z)**(-1\/6) assuming z is positive.\nAnswer: z**(-22702\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:09 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 25.045. Let m = c - 1.845. What is m rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*o**3 - 2 + 0 + 11*o**2 - 9*o**2 to the form c*o + p + k*o**2 + g*o**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 5*b - 1\/6*b**3 + 0 - 1\/2*b**2 + 1\/12*b**4. Is 2 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717877243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/20 + 5*x**2. Let u(p) = -4*p - 7. Let q(m) = m + 2. Let w(s) = -14*q(s) - 4*u(s). Determine n(w(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 12*g + 183. Let f be x(10). Let r(k) be the first derivative of -39\/2*k**2 + 1\/3*k**f + 0*k + 54. Find the second derivative of r(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - h - 2*h - 15 = 0, 5*r - 4*h = -11. Let u be (-6*2\/20)\/(r\/2). Let l = 163 + -1469\/9. Which is the third biggest value? (a) l (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0696 and -62?\nAnswer: -4.3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*p + 2*s, 7*s = -3*p + 3*s + 13. Let y be (-22)\/44*(p - 5). Solve 12*x**3 + 11*x**3 - 22*x**y = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 2*(-3 + 4). Solve 0 = -g*c + z - 2*z - 5, 0 = -4*c + 5*z + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-12 - (10 - 15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970185169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itsi when four letters picked without replacement from {s: 2, v: 1, j: 8, t: 5, i: 2}?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -299500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*l - 39. Let s(w) = w**3 + 7*w + 4. Does 16 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 4*n = -5*p - 11, 1 = -3*p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 29 = 31. Solve -3*f = f - a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5 + 1 + (-27 + 1 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 1, e: 5, v: 2, s: 6}. What is prob of sequence veqv?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 667*t**3 - 6*t - 26?\nAnswer: 4002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 6*l + l)*(-1102 - 569 - 520) to the form g + t*l and give t.\nAnswer: 6573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9516*u**3 - 4683*u**3 - 4813*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627*q - 605*q - 22 = 0. Solve -q = -f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -2 (c) -65\/609 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -5. Let l = -3 + 1. Let o = -12 - -15. Which is the second smallest value? (a) l (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-14) - (-2325)\/(-1050)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.576 - 1.6. Round b to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 + -1 + (25 - -7) + -20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -2*u**5\/15 + 97*u**4\/6 - 712*u**3\/3 + 2695*u**2. Determine h, given that g(h) = 0.\nAnswer: 4, 89\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 6*x**2 - 12*x**2 + 5 + 2*x**2 wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -98, -80, -44, 16, 106, 232?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:16 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 5. Suppose 8*f = 163 + 1965. Let m = f + -156. Let s = 106 - m. Give d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99613 or 39?\nAnswer: 99613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276188*o - 276341*o + 552523*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 11*z + 10. Determine q(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 5*b**4\/11 + b**3\/3 + b**2\/11 + 2*b + 15. Factor y(a).\nAnswer: 2*(5*a + 1)*(6*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 6*k**2 + 4*k - 2. Suppose -4*x - 32 = -2*j, -x - 5 = -0*x. Let n be p(j). Find the common denominator of -2 + (1 - (-71)\/n) and -25\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.1. Let t = 22 + -21.9. Are s and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hey when three letters picked without replacement from {e: 3, h: 3, y: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -353?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -636*y + 636*y + 2*y**2 + 257*y**3 - 2*y**4 in the form z*y**4 + p*y + s + h*y**2 + j*y**3 and give j.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*u*w**3 - 70*u*w**2 - 3969*w**3 + 15*w**2 - w - 7 wrt w?\nAnswer: -102*u - 23814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51707?\nAnswer: 29, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m + 4. Let r(l) = -16*l - 7. What is -5*n(j) - 3*r(j)?\nAnswer: 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**4 - 18*h**2 - 1 - 6*h**3 - 15*h + 128*h + 3*h**4 - 115*h as k*h**3 + o*h + r*h**4 + z + q*h**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-171)\/(-216))\/((17\/(-6))\/(-17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-70)\/21.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41206 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.2, 1, 6.3434, 0 in increasing order.\nAnswer: -10, 0, 0.2, 1, 6.3434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181252 (base 9) in base 14?\nAnswer: -818547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - g + 1259, 3*w - 885 = 2*g - 4667. Let y = -55613\/44 - w. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 139, 202, 269?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/((-2)\/190). Let w be -1 - (-3)\/l*14. Sort w, 5, -4 in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 + -153?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 + -147. Let a(v) = -4 + o*v**2 + 7*v**2 + 6*v - 14*v**2. Let h(b) = b**2 + 3*b + 4. Let y be h(-3). What is a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -79 (b) -15 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let m be 1177\/(-99) - 2\/18. Let s be m*((-4)\/56)\/(-1). Which is the third smallest value? (a) s (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -13. Let t(a) = a**3 - 7*a**2 - 8*a - 3. Let o be t(w). Let d = 1 + -2. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 6) + 18 + (-16 - -8). Suppose -u = -4*u + 27. Let w = 12 - u. Solve 4 = -2*n - 3*g, 0 = -l*n + w*g + 12 + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 + 10*j - 10. Let l = -264 - -274. Determine t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -8. Let p(k) = -k**2 + 4*k - 4. Let c be p(3). Let a be -2 + c - 28\/(-10). Put a, r, -1\/3 in ascending order.\nAnswer: r, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7708 is divided by 882.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3\/640, 0.8, 30, -5 in descending order.\nAnswer: 30, 0.8, -3\/640, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 4*y**2 - y**2)*(72*y - 6 - 148*y + 6).\nAnswer: -152*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -6\/13 (b) 1\/5 (c) 90 (d) -385 (e) 2\/13 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 83*u + 420. Let g be h(-5). Solve -4*i - g*w = -10, -4*i + 5*w - 10 = -9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 13. Suppose k + 7 = -f, -7 = -4*k + c*f + 1. What is the units digit of 3\/(-6) + k\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -212*t - 20785. Determine o(-105).\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2320 = -t + 6*t. Let u be (t\/(-174))\/((-10)\/6 - -1). Solve 5*l - 4*q + 2 = 33, q + u = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8. Let j be (-7)\/(0 - (1 - a)). Let r(v) = -v**3 - 3*v**2 - 3*v. Let l(w) = 3*w**3 + 7*w**2 + 7*w. What is j*r(o) + 3*l(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 73 + 10 + -32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*s + 474*s + s**2 - 1 + 163*s)*(2*s**3 + 2 - 2).\nAnswer: 2*s**5 + 2558*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 + 7*m**2\/2 + 7*m. Let h(a) be the first derivative of w(a). Let u(c) = -10*c. Calculate h(u(o)).\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k + 5 = c - 367, 127*c + 5 + 19 = -5*k + 128*c for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-31)*j)\/j**27)**(-31\/4))**(-31))**(-7) assuming j is positive.\nAnswer: j**94178","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.318087 rounded to 1 decimal place?\nAnswer: -147.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 7*i - 15. Let b(r) = -2*r**2 - 2*r + 5. Let f(z) = -3*a(z) - 8*b(z). Let l be f(4). Let y = l + -1. Solve 3*g - 6 + y = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 15 + (4 - 3 + 1)*(0 + 4 - 3))*(4*n - 4*n - 4*n**2) to a + q*n**2 + v*n and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48\/17 - 387\/119. Let y = 29.7 - 29.7. What is the closest to 1\/10 in y, 3, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3792 is divided by 119.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 693937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -134.999862. Round o to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:10 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58748 - 72112 = -257*o for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 8 = 0. Suppose -5 = 2*h + 2*h - 5*f, r*h = 2*f. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*u*u*u)\/(u*u**(-4\/3))*(u*u\/u**(2\/7)*u)**(-4\/11))**45 assuming u is positive.\nAnswer: u**(21990\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 107*a**2 + 2 + 110*a**2 - 4 in the form b + p*a**2 + c*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 6. Let c be (-5 - (-4)\/2) + 10. Let y be d(c). Let o = -43 + y. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.83705412508 - -0.4.\nAnswer: 10.23705412508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a factor of 95385280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let d be b*-5*2\/4. Let g = -137 - -136. Put 1, g, d in decreasing order.\nAnswer: 1, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 91054*z**2 + 182112*z.\nAnswer: -z*(z - 2)*(z + 91056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 60\/6) + 19. Find the second derivative of -v**4 + 2*v**3 - 3*v**4 + 5*v**4 - l*v - 2 - 2 wrt v.\nAnswer: 12*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961374.\nAnswer: 2, 3, 163, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 24. Let a be (1 + 4)*(4 - z). What is the highest common factor of 25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 101, 1 in descending order.\nAnswer: 101, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7020 - 5836 - 7082 - 8151 - 16691)*(-6*g + 3*g + 2*g) to the form c*g + o and give c.\nAnswer: 30740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556661095 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 528*y + 6386. Let z be u(-12). Solve -19*j - 6*j = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25166417 (base 8) in base 6?\nAnswer: 315143103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (0 + sqrt(18)\/sqrt(6) + sqrt(3))**2 + (4 + (sqrt(147) + 3 + sqrt(147))**2)*-4.\nAnswer: -2395 - 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 88957.1+-8290\nAnswer: 80667.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2 - 2) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9704, 9699, 9692, 9683, 9672?\nAnswer: 9659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 12*k - 151 + 76 to o*k + p and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(2) - sqrt(21)\/(sqrt(9)\/sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 34. Solve -5 = -n - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 29*m - 37*m + 98*m**2.\nAnswer: 98*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - (124 - 2))*(7 - 3516\/504) and (-2)\/3 + (-14)\/(-54).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284430?\nAnswer: 2, 5, 563, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 - 166*g**6 + 5*g**5 - 48*g**2 - g**4 - 2*g**4 - 5*g**5 wrt g.\nAnswer: -19920*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7206263\/6 + -1201037. Find the common denominator of w and (-20 - -1)\/(52\/6).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279386449 is divided by 7707?\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, e: 2, k: 1, d: 1}. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 2*a - 612.\nAnswer: 2*(a - 18)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-85)\/130 + 2\/13)*-4. Differentiate 120 + 21*h**z - 17 - 44*h**2 - 25*h**2 with respect to h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 16\/(-40). Let a = 1 + h. Let r be a - (-2 + -1 - -5). Let t(l) = -7*l - 1. Determine t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5843760 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8330076, 8330074, 8330072, 8330070, 8330068, 8330066?\nAnswer: 8330064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1176 + 1172.055. Let v = n - 0.055. Sort -5, 2\/3, v.\nAnswer: -5, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 13*h**2 - 44*h - 4. Let w be x(-7). What is the hundreds digit of (w - -343)\/((-1)\/2*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 1:51 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**2 - 50*s**2 + 111*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -381 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 70*z = -6*z + 9130 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - (-1 - (5 - -303)).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u**4 - 15*u**4 + 4*u**3 - u - 7 + 2*u**2 + 4 to b*u**2 + i + n*u + m*u**4 + w*u**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411342 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*n + 60, -3*w = -5*n + 54 + 35. Let y be 2\/8 - 7\/w. Let q = -6588 - -6586. Which is the closest to q? (a) -0.5 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(-29*11454\/5336)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 48*r + 24. Let y be (16\/(-3))\/8*-3. Calculate the remainder when c(y) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*l**3 + 97*l**3 - 65*l**3 + 8*l**2 - 8*l**2.\nAnswer: 196*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a day in minutes?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22568 and 17236.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149 by 3.\nAnswer: -149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*i + 4705*i + 720104 = 2092*i - 4553*i for i.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + k**3 - k**3 + (-3*k**4 + 2*k**4 - 4*k**4)*(-1 + 1 - 2*k) + 3*k**5 + k**5 - 5*k**5 - 833*k**5 + 518*k**5 + 434*k**5 + 3*k**2 - 2*k**5 - 3*k**2.\nAnswer: 123*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + -168. Let j = u + 298. Let m = 121.00000099 - j. What is m rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {m: 1, w: 1, t: 1, h: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 0. Put 0.2, h, -0.1 in increasing order.\nAnswer: -0.1, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 5*x**3 - x**3 - 5*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y - 3. Let g = 5 + -1. Suppose g*u + 14 - 34 = 0. Suppose -u*j = 9 + 11. Calculate c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, 42, 5 in decreasing order.\nAnswer: 42, 5, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/3 - 1160\/(-4) and 8?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.1861 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3297327 and 30?\nAnswer: 32973270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-7))))\/r*r**(1\/31) assuming r is positive.\nAnswer: r**(-216\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 5*y + 4. Let x(l) = l. Let w(c) = -t(c) - 2*x(c). Determine w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 - 12074385*o**3\/4 - 72446157*o**2\/4 + 181115481*o\/4 - 24148734 = 0. Calculate o.\nAnswer: -4024789, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10389*o - 11305. Let w(z) = 10389*z - 11233. Let d(b) = -6*n(b) + 7*w(b). What is the derivative of d(g) wrt g?\nAnswer: 10389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-6)*(3*(-16)\/(-84))\/(133\/(-133)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/60*5)\/(44\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-81)\/(-45)*(-1)\/(105\/(-50))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 32321 (b) -4 (c) 0.0389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let c be q(-2). Suppose -3*l - 30 = -5*b, 0 = -13*l + 16*l - 3*b + 30. Is c at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*m**3\/3 + 365696*m**2\/3 + 920*m = 0. What is m?\nAnswer: -2\/265, 0, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13409 * 6.3.\nAnswer: -84476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12538578 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 90799259 and 63.\nAnswer: 90799322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12357 - 7015. Let v(t) = r - 37*t - 5342. Let f(h) = -2*h. Calculate f(v(w)).\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.388 - 0.988. Let p = 49.8 + -46. Let m = p - 18.8. What is the second smallest value in y, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (11 - 6) - 5 - (1 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/(12\/(-30)). Suppose -n*w = -749 + 49. Let f = w - 67. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 109*p**2 - 356*p - 178. What are the prime factors of b(-112)?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66062.19ml in litres?\nAnswer: 66.06219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 694 in 0.3, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1514612 + 3438169339\/2270. Find the common denominator of p and 71\/6.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - -29 - 35) - (-69 - 0).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let x(u) = u - 3. Let z be x(c). Suppose -2 = -z*y + 4. Solve -6 = -3*m - v, -y*v + 6 = 3*m - 6*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8689*v**2 + 16*v**3 + 8689*v**2 + 2*v.\nAnswer: 16*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 89 = -l, -2*l + l + 94 = -2*d. Suppose 44*p = -4*y + 42*p + 196, 5*p = 5*y - 200. What is the highest common factor of l and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860 by -4.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3774 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w**5 + 0*w + w**2 - 1\/210*w**7 + 0*w**6 + 0 + 0*w**3 - 1\/8*w**4. Find the second derivative of k(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 693, 654, 623, 606, 609?\n\"Answer: r**3 - 2*r**2 - 40*r + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 9*h - 13. Calculate the remainder when 24 is divided by b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -44. Let y be (16\/12)\/(r\/(-27)). Let p(a) = 2*a - 12. Let t be p(y). Is t > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 86730966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*z + 4*z. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(0 - -2)*(1 - 2). Let t(b) = b**2 + b. Let u(j) = -6*j**3 + 36*j**2 + 36*j. What is n*u(v) + 36*t(v)?\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 - 3*s. Let b be l(0). Suppose b = -3*z + 14 + 358. Suppose q - z = 5*u, 5*q + 3*u = 79 + 429. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (368*w + 30980 - 30980)*(-23 - 26 + 49 + 115*w**2) to l*w**2 + o + s*w**3 + f*w and give s.\nAnswer: 42320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444230 + -1?\nAnswer: 444225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3858 is divided by 549?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*b - 412, 0 = -5*b - 27*x + 29*x + 529. Calculate the least common multiple of 2 and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4923499878 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 28525*r**2 + 28510*r**2 + 0*r**3 - 57035*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-47)\/4 + 2\/(-8). Let t be (-27)\/(-15)*(-40)\/d. Let u(a) = -14*a**2 + 17*a. Let y(m) = 5*m**2 - 6*m. Determine t*u(h) + 17*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19*g + 7. Let k be v(6). Let a = -54 - k. Suppose y - 1 = -0*y - 3*j, -j = -5*y + a. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 21 + 8 + -10 + 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255791610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 24*h**2 - 2069*h + 33061. Determine n(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 237338387639 and 1.\nAnswer: 237338387640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1134.1 + -626.5. What is s rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42884678.\nAnswer: 2, 29, 739391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3698 - 6386 - 10*f + 2700.\nAnswer: -10*f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/52)\/((-9)\/8). Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6901 times 0.5?\nAnswer: 3450.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 15*r + 3065*i - 3067*i, 5*r - 4*i + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -13 - -8) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 - 3 + 5)*(0*u - 4*u - 3*u).\nAnswer: -7*u**4 - 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-14) - 1) + (-90)\/(-210)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 18. Let o(w) = 2*w**2 + 8*w + 8. Let g(j) = j + 1. Let r(v) = -8*g(v) + o(v). Calculate k(r(m)).\nAnswer: -2*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*v - 4*q, -309*v - 4*q = -311*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.7 or -1952643?\nAnswer: -1952643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -139. Let i = 117739\/62 - 1899. Is i < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:35 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 17. Suppose 5*o - 5*k = o - 9, -13 = -f*o - k. Suppose -o*w + 3*w + 11 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {v: 2, u: 6, r: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lywbyghwybgggyyywwwg. What is prob of sequence wb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(20\/(-5))*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, a: 13}. What is prob of picking 1 y and 3 a?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16689077 to the power of 1\/2, to the nearest integer?\nAnswer: 4085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 + 13*n**2 + 3. Determine k(5).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -775*w**5 + 3*w**3 + 4*w**2 - 14777*w wrt w?\nAnswer: -15500*w**3 + 18*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1169 + 1175. Solve -a = t*a - 42 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206142136 and 11679.\nAnswer: 3893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10640 + -6192. List the prime factors of b.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 + -7 - ((6 - 8 - -7) + -1)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + (-31 + 36 - (-1 + 1 + 22)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -143621663.\nAnswer: -143621666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x. Let i(r) = -2*r**2 + 142*r + 117. Calculate i(j(z)).\nAnswer: -512*z**2 - 2272*z + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-0.8062036.\nAnswer: -1.12868504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320862*d + 276973*d + 1482941*d + 36710*d.\nAnswer: 3117486*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -7, -3, 1, 5, 9?\n\"Answer: 4*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((25\/15)\/(-5))\/(2\/(-54)). Let r = 12 - f. Suppose r*h - 12 = h. Solve -4*a - h = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243393836 is divided by 17273?\nAnswer: 17266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 4*a**2 - 2*a - 2. List the prime factors of c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 6846203?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 147*r + 148.\nAnswer: -(r - 148)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 97*r**2 + 154*r + 188. What is x(-50)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y**(4\/3)*y)*y**9*(y\/(y*y**(2\/3)))**(-23) assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in 0.7, -4\/319, -217?\nAnswer: -4\/319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -199 - -29?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y**2 - y**2)*(5818 + 11038 + 4270 + 14464 - 3468).\nAnswer: 96366*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1, -1\/2646, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w - 279*w**3 - 1033 - 147*w**3 - 486 wrt w?\nAnswer: -1278*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/96 and -5\/1656?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1810 = -20646. Calculate the least common multiple of c and 12.\nAnswer: 9624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 4674246?\nAnswer: 4674246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, j: 3}. What is prob of picking 4 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176737864?\nAnswer: 2, 131, 168643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3530 from 0.02.\nAnswer: -3529.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 15*y + 14. Let z be a(-6). Suppose x - 2 = 5*q - 11, -5*x = q - 33. Suppose -x - 2 = -i. Sort z, i, 2.\nAnswer: z, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76415 is divided by 990?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 606 + 3?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08012046 rounded to four dps?\nAnswer: 0.0801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 9*f**2 + 5*f + 6. Let d be b(10). Let y = d - 35. Let s = y - -74. What is the third biggest value in s, 2\/5, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let d = 29 + -24. Let z = u + d. What is the remainder when 39 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*k**2 - 6 - 10 + 16 - 298*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52572 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6543454.\nAnswer: 2, 23, 59, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 189*x**2 + 97*x + 188. Calculate g(-95).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 7. Let l = d + 9. Let v be 7\/30 + 2\/l. Which is the closest to 0.2? (a) -5 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322 - 322.2. Which is smaller: a or -154.3?\nAnswer: -154.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651214074 divided by 2?\nAnswer: 825607037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d2 - 4bbdd?\nAnswer: -4bb0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4856*s**2 - 320*s**2 + 1237*s**2 - 4513*s**2 in the form f*s + w + h*s**2 and give h.\nAnswer: -8452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8814, 8306, 7772, 7200, 6578, 5894, 5136?\nAnswer: 4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -543*m + 542*m - 4*u, -m = -u - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(1233\/2740)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:43 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 11.04.\nAnswer: 9.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182161109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (0 + sqrt(1300))**2 + 2.\nAnswer: 10*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 17*n**2 + n + 33. Let c be k(8). Is c at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 15*r**2 + 2*r - 25. Let j be (-9)\/(-6) - 1080\/(-80). Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 + 231 = 10*i. Let h = 399 - i. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*d + 3*d + 34, -3*d + 50 = 4*b. Calculate the greatest common factor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + (0 + sqrt(612))**2)*-3 - ((2*sqrt(2057))**2 + 2)) + -2.\nAnswer: -10068 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801 + 1185 = -109*z + 41*z + 198 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(228) + sqrt(228)) - sqrt(228))\/(sqrt(72)\/(sqrt(18)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5982*p + 8*p**2 + 5946*p - 915*p**3 + 17*p**2 wrt p?\nAnswer: -5490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326 - 1081*z + 5*z**3 + 30*z**4 + 1080*z + 41 - 35*z**4 wrt z?\nAnswer: -60*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 30114.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-98)*((-952)\/(-64))\/(-17).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 861088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.4026 times -2?\nAnswer: 82.8052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 71555512.81 to the nearest 1000.\nAnswer: 71556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 13*u + 24. What is v(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11760 is divided by 195.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109478 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3403 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*c + 6*c + 50, -c + 20*w + 19 = 45*w - w - 21*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-2\/27)*k)\/k*k)*k)**(26\/9)\/(k**6\/k**(3\/5)) assuming k is positive.\nAnswer: k**(-6821\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7667840?\nAnswer: 2, 5, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20420\/15 + (-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 158. Let p be s + 0 - (-3 - 1). What is the third derivative of 9*t**3 + 2*t**2 + p*t - 83*t wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8759 + -8751. Suppose 7 = 4*v - 1. Solve 5*u = -f - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-12) - 0)*6. Let -5*x**2 - 5*x - 20 + 0*x**b - 20*x = 0. What is x?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -19. Suppose 4*b + 2*q = 16, q - 2*q = -5*b + o. Suppose -b*h = -41 - 7. Calculate the greatest common divisor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/5820 and 59\/12804.\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.8?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -1.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5739 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41499 and 55014?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + u = 0. Suppose -q + 7 - 2 = u, 0 = -c - q + 12. Sort c, -2, 1 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1700) + (-5*(0 + sqrt(1700) + sqrt(1700)) - sqrt(1700)) - sqrt(1700))**2 + 4.\nAnswer: 205701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*w - 1485 = -66*w. Calculate the greatest common factor of w and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13760287?\nAnswer: 1877, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 4*w**2 + 5. Suppose -62*s = 103*s + 238 + 257. Determine q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(-7))\/t)**15 assuming t is positive.\nAnswer: t**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 622\/3. Which is the third biggest value? (a) d (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871020 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594558 and 15147?\nAnswer: 58861242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019485 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-13965)*49)\/((-1)\/(-50))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 4 - (45 - 38).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*a - 14, 33*a - 38*a + 12 = -4*b. Solve 6 = b*q, 2*y - 27 + 25 = -4*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:30 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190.92 - 184. Let c = n - 7. Let z = 0.1 + c. What is z rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 499 = -569. What is the remainder when n is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 8*v**4 + 82*v**3\/11 - 76*v**2\/11 - 82*v\/11 - 12\/11 = 0?\nAnswer: -1, -3\/4, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129884.12 rounded to the nearest 10000?\nAnswer: 10130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s, -y + 2*s - 40 = 2*y. Let m(i) = 95*i**2 + 8*i + 25. Is m(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10460095 and 3.3.\nAnswer: -34518313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g**(-7\/5))\/(g**(-2\/27)*g\/g**(4\/3)) assuming g is positive.\nAnswer: g**(353\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2835*g = 2834*g - 5667*g + 3*q - 55 + 19, -140*g = q - 1684 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.573533636 rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 340695737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 1. Let t(i) = -i**2 + 7*i - 7. Let w be t(6). Let g be n(w). Let k(u) = 4*u + 6. Let p(d) = d + 2. Determine g*p(b) - 2*k(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 96286 * 3\nAnswer: 288858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:14 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3267)*4 - sqrt(3267) - (sqrt(12)\/(-4*sqrt(484)))**2.\nAnswer: -3\/1936 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = m + 3*m, 11 = c - 5*m. Let y be (0 - (-1 + 4))*-1. Suppose -4*b - 3*t - 20 = 2*t, 4*b - 3*t = -20. Sort b, c, y in descending order.\nAnswer: y, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2562198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 18 - 4)*(-11 - 16*j + 11 + (-2 + 3 + 1)*(-2 + 1 + 5)*(-j + 0 + 0)).\nAnswer: -240*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5518 - 5554.63. Round q to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3 + 13. Suppose 2*z + 53 = g, -4*z = 5*g - 8*z - 277. Let r = g + -57. Solve 5*f - 7 = 8, r = b*p + f + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 538, 3165, 9978, 23071, 44538?\n\"Answer: 349*x**3 - x**2 + 187*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from gyyygy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 10 + 2 - 2 - (5 - (2 - -7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2044\/88943 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*(b\/(b\/b**(6\/13)))\/b)\/(b**(-2\/49)\/(b\/(b*b*b**(-5)))) assuming b is positive.\nAnswer: b**(6056\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -47. What are the prime factors of (r - 1464\/(-10)) + 6\/10?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 37. Let l be n(-7). What are the prime factors of 655\/(-20)*l - -4?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.2 + -41.2. Let q = k - -67.39999388. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 15*k - 27. Let f be l(-11). Let o be (-7)\/(104\/(-34) + 3). Calculate the highest common factor of f and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747165009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 18. Let r = a - 7. What is the biggest value in r, -0.5, 0.11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100011020101212 - 2?\nAnswer: 1100011020101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10865 - -15?\nAnswer: 1087a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22337096, 44674186, 67011262, 89348318, 111685348, 134022346, 156359306, 178696222?\n\"Answer: -i**3 - i**2 + 22337100*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 7. Suppose -105*w + 109*w + 20 = 4*n, -3*w = -2*n + 9. What is the smallest common multiple of n and f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160318213.\nAnswer: 11, 71, 233, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**2*f*h**2 + b**2*f*h - 403*b**2*h**3 + 8*b*f*h**3 - 10*b*f*h**2 + 2*f - 127*h**3 wrt b.\nAnswer: 12*f*h**2 + 2*f*h - 806*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27380.52 nanoseconds?\nAnswer: 0.000000456342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 rounded to the nearest ten?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7395, 14987, 22577, 30165, 37751, 45335, 52917?\n\"Answer: -a**2 + 7595*a - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46976.9874 rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (-2 + (0 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -109984 divided by 54992?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4900, -4923, -4960, -5011, -5076, -5155, -5248?\n\"Answer: -7*v**2 - 2*v - 4891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6094 - 6091. Let y(f) be the second derivative of 0 + 1\/2*f**2 + 10*f**u + 16*f. Let l(z) = -z. What is l(y(w))?\nAnswer: -60*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p)**(-7\/3)*(p*p**0)**(-2\/19)*((p*p**(-1))**(-38))**(2\/49) assuming p is positive.\nAnswer: p**(115\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -175. Let m be (0 - h) + (-13)\/((-78)\/18). Let b = 4\/101 - -17\/2121. Is b less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -379492460*c**2 - c + 85801900 wrt c?\nAnswer: -758984920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -0.2, 4\/3, -2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -9*u**5\/40 - 11*u**4\/8 - 5*u**3\/4 + 9*u**2\/4 + 252*u. Factor f(t).\nAnswer: -3*(t + 1)*(t + 3)*(3*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/14 (b) -0.3 (c) -4 (d) 41 (e) 2\/7 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 105 = 4*y - 2*f, 0 = -2*y - 5*f + 45. What is the remainder when 99 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c - 18*c + 16*c**3 - 21*c + 62*c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14863.509*-17\nAnswer: 252679.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/(12\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13663616 or 13663617?\nAnswer: 13663617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264\/17 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43\/3 + -227\/15. Let t(y) = y**2 - 4. Let x be t(3). Sort m, 8, x in decreasing order.\nAnswer: 8, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0575 - 1.323. Let l = k - -1.474553. Let c = -0.094 + l. Round c to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, -53, -153, -315, -563, -921?\n\"Answer: -4*h**3 + 5*h**2 - 49*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21 - (1\/(-2))\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*(-4019)\/(3\/603*-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 8. Let t(g) = g - 1. Suppose 147*n = 3*i + 144*n, 3*i + 5*n + 8 = 0. Calculate i*x(c) + 3*t(c).\nAnswer: 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/9)*(r**34*r)\/r assuming r is positive.\nAnswer: r**(302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1226695.5 months to decades.\nAnswer: 10222.4625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 110726?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3341?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/16 - 18\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23\/4 (b) -1990\/3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*i**2)*(-5*i + i + 0*i)*(2 - 12 - 1)*(10*i + 213*i + 219*i) in the form y*i**4 + q*i**2 + x*i + t + r*i**3 and give y.\nAnswer: -38896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 14*y**2 + 11*y**2 + 1 - 30*y**2.\nAnswer: -5*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238007055 to the nearest integer?\nAnswer: 15427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*h = 233, -s + h + 35 = 6*h. Suppose m = 5*t - 12 + 30, -t - 2*m = 8. Calculate the lowest common multiple of s and 112\/8 + (2 + t - -6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 116949048?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76039, 152054, 228095, 304174, 380303, 456494, 532759, 609110?\nAnswer: 685559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12) - (-152)\/160) + 170\/1275\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 + 2*b + 1. Let l be 12\/(-10) - 2\/(-10). Let y(k) = k**2 + 1. Let h be (1*-1)\/(0 + -1). Calculate h*y(w) + l*v(w).\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))\/(u*u**2))\/(u**(-1\/8)*u*u**(-16)) assuming u is positive.\nAnswer: u**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 bigger than 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5688 by 5.\nAnswer: 5688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v**2 + 85*v**2 - 63*v**2 + 27*v**2.\nAnswer: 91*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1208282*o**3 - 332*o**2 + o - 665?\nAnswer: -7249692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139.19 - -149.2. Let m = -64.3 + q. Round m to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/3 - u. Let c(v) = v**3 - 4*v**2 - 4*v. Let o be c(5). Let m(y) = -4*y + 0 - o + 5. Determine k(m(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16459*q**2 - 10255*q**2 - 6228*q**2.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590562.1 milligrams to nanograms.\nAnswer: 590562100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1318, -2643, -3956, -5251, -6522, -7763, -8968?\n\"Answer: k**3 - 1332*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442199 is divided by 2159.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 2, t: 2, s: 7}. What is prob of picking 2 t, 1 k, and 1 s?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 352 = 4*z, z = -2*f + 2*z - 253. Let i = f - -273. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - (12 + -18 - (-10 + -1 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1324 - 4512?\nAnswer: -3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/6*(20\/8 - 4). Let m(j) = -7*j**2 - 4*j**2 + 11 - 4*j**2 + 0*j + 13*j. Let z(t) = -7*t**2 + 6*t + 5. Determine c*z(h) + 6*m(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6644*f**2 - 4179*f wrt f.\nAnswer: 13288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 22 = -4*a, -5*z = 4*a - 37. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4094.513kg to nanograms.\nAnswer: 4094513000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**4 + 10*o**3 + 2*o**2 - 10*o + 6. Let i(q) = -2*q**4 + 9*q**3 + 3*q**2 - 9*q + 4. Let y(n) = 6*i(n) - 5*s(n). Factor y(r).\nAnswer: -2*(r - 3)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8792, 8968, 9194, 9464, 9772?\nAnswer: 10112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2208 - 1031. Suppose j = -4*j + 3450. Let z = d - j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 2*v**2 - 1. Let l be y(1). Let o be 6\/(((-3)\/l)\/(-1)). Find the first derivative of -o + 1 - 8*m**4 - 1 wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1903 + -444. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from {w: 5, z: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1445 (base 9) to base 8.\nAnswer: -2106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1\/5 (c) 10182\/13 (d) -40 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g - 2. Does 12 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51514\/193065 - 2\/12871. Let 0*g**2 + r + 2\/5*g - 2\/15*g**3 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79441 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**4 + 51*y + 759?\nAnswer: 4*y**3 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/(-1000)*(-8)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*q = -18627, -3*l + 5423 + 5758 = 3*q. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 7*v - 7. Let k be r(0). Let a be (4 + -7)\/((-6)\/4). Let y(d) = 9*d**3 - 8*d**3 - 3 + 7*d**a + 5. Calculate y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*x - g, -3*g + 63 = 5*x + 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 1, r: 1, x: 2}. What is prob of picking 1 d, 2 x, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -78 (b) 1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3\/3 + 32542*s**2 - 390532*s\/3 - 390520 = 0.\nAnswer: -97630, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 3*q + 7. Let i be d(0). Let x = 6 + -4. Solve 0 = 3*w - i - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -8394605?\nAnswer: -4197302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/19 - 27\/76. Let q = 0.2 + 0.8. Which is the nearest to q? (a) o (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 116.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + 5*h**4 - 7 + 9 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -51481\/7553?\nAnswer: -51481\/7553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231240012 - 1113?\nAnswer: -231241130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/2 - 433\/26. Let l = 262 + -277.7. Let f = l - -16. Which is the second smallest value? (a) m (b) f (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxmx when four letters picked without replacement from {x: 4, m: 2, o: 1, c: 1, b: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 4*b**2 - 4*b + 6. Let y be c(6). Let n = 1225\/2 - 665. Let r = n + y. What is the nearest to -1 in r, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4 - y - 2*y + 7*y. Suppose -3*w = -a + 19, -2*a = -6*a - w + 11. What is the tens digit of v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 30\/(-8) + 7)*4. Solve 21 = -i*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 9. Suppose 2*m - m - 201 = q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28994221.\nAnswer: 28994221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 346. What is w(27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 183754428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcj when three letters picked without replacement from {c: 10, m: 1, a: 3, j: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3685 + -2569. Suppose x = -p + 19*p. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -8, -1 in decreasing order.\nAnswer: 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3773 = -4*a - 3761 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 9\/2*p**2 + 6*p - 2*p**3 - 1. Find q such that d(q) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - sqrt(832)*2))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(3\/6 + -1). Let v = -65 - c. Does 24 divide 4\/(-12) + v\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 1192875.\nAnswer: 31014750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -341*t - 5099. What is n(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8459454 is divided by 338377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k + 5*d - 25, 2*d = -3*k. Let g be 2 - (2 + 4\/k). Suppose 21 = g*a - 3*f - 0*f, -5 = 5*a + 4*f. Solve -a*i - 1 = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 431, 1649, 4071, 8099, 14135, 22581?\n\"Answer: 67*x**3 - x**2 - 50*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670237924?\nAnswer: 2, 167559481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.23 (c) -2 (d) -2\/13 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45696*w = -45977*w + 6182 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730026, -2920099, -6570216, -11680377, -18250582, -26280831, -35771124?\nAnswer: -46721461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)**(-25)*i**6*i**18 assuming i is positive.\nAnswer: i**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/((-14976)\/(-160)))\/((-1)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 - 88*b**2 - 10*b - 15. Let p(g) = 14*g**3 - 616*g**2 - 66*g - 100. What is 20*f(m) - 3*p(m)?\nAnswer: -2*m**3 + 88*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-12) + 6\/(-8). Suppose 12 = -0*w + 3*w. Suppose 5*g - 5*h - 70 = y, 3*h + 70 = 5*g + w*h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 + 2*q - 14. Let i be (5\/(-10))\/(1\/(1*-14)). Let r be m(i). Let j(x) = -4*x + 253. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/9 (b) -3\/5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 5820244.\nAnswer: 29101220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177757028.000039 + 177757102. Let f = 81 - 7. Let h = s - f. Round h to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/6 - 5*d**2\/2 + 142921*d. Let u(z) be the third derivative of -z**4\/12 + 5*z**3\/3 - z**2. Determine 5*g(w) + 2*u(w).\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10272211949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 2. Let h(k) = -9 + 2 + 6*k + 2*k**2 - 4*k**2 + k**3 - 4*k**y. Let u be h(5). Let b(o) = 4*o + 2. Determine b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2935 and -825055.\nAnswer: -822120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/((-17)\/68).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 3, x: 2, q: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -151\/73 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*n = -3*h + 194, 0 = 5*n + 15. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4\/3 + 4772*j**3\/3 - 118621*j**2\/3 - 85446*j = 0.\nAnswer: -2, 0, 27, 4747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -558*u**3 - 2*u**2 - u. Let d(k) = -2*k - 1. Let v be d(-6). Suppose -5*w + 3*s + 0*s - v = 0, 3*w - s + 5 = 0. Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3*g)*(-14*g + 34*g - 14*g + (g - 2*g + 0*g)*(1 - 1 - 1)) to the form y*g + p*g**2 + s and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11580 and 6?\nAnswer: 11580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1130)\/(-23956)*(-5)\/(-25).\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1123 or -2638?\nAnswer: 1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 33. Let v be t(-5). Suppose -w = 4*b - 17 - 69, -3*w - v*b + 231 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:23 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 467846 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (3 - 2)) + 2 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*f**2 - 762*f wrt f.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 8*o**2 - 2*o - 2. Suppose 68 = -10*q - 22. Let u(h) = 8*h**3 - 33*h**2 + 9*h + 9. What is q*a(j) - 2*u(j)?\nAnswer: 2*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -316645 (base 11) to base 10\nAnswer: -506555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Let h = k - 6. Suppose 0 = -2*o + 4*d + 124, 5*o - 219 = h*d + 107. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76110.82 millilitres in litres?\nAnswer: 76.11082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8315?\nAnswer: 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:47 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -527104 divided by 8\nAnswer: -65888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*a = 17 - 71, -4*v = -a - 140. Let b be (-2)\/5 - v\/(-10). Let s(u) = -3*u. Let n(w) = 3*w - 1. Let d(m) = -4*n(m) - 3*s(m). Give d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 2*f**2 + 2*f - 1. Calculate g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3850.032 centimeters?\nAnswer: 0.03850032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -13 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1343477904 to the nearest integer?\nAnswer: 36653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1142839837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 - 0.7. Let n = x + -0.1. Sort 0.4, n, -2.\nAnswer: -2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6352.817 meters in kilometers?\nAnswer: 6.352817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/14 and ((-18)\/16)\/(84\/(-496)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, m: 1, g: 5, z: 3}. Give prob of sequence ag.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*i = -18 + 2, 3*q - 18 = -3*i. Let o(f) = f**q + 5*f**2 - 13*f**2 + 5*f**2. Let a(w) = 26*w. Determine o(a(h)).\nAnswer: -1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106396903 - 4?\nAnswer: 1063968cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*p**4 - 274*p**3\/3 - 317*p**2\/3 + 274*p\/3 + 32\/3 = 0.\nAnswer: -1, -2\/19, 1, 16\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 7*x + 63. Let p = x - -9. Suppose -4*a - 20 = -4*u, -u + 5*u - a - 11 = p. Solve k = -k - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/10 + 8*p**3\/15 + 7*p**2\/5 - 4*p + 181. Factor o(g).\nAnswer: -2*(g - 5)*(g - 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3*9\/3. Suppose -5*n + 1 = -2*y, -49 - 1 = -d*y - 5*n. Let v be (3 - (-9)\/7)*y. What is the highest common factor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 587*c**2. Let l(s) = -404 + 404 + 3*s - 2*s. Give m(l(h)).\nAnswer: 587*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 9) to base 14\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1 - 5*n - 5*n - 8*n + 6. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -30. Let b be 1 + (-2)\/m*1. Let a = 1 - 1.1. Sort b, 5, a.\nAnswer: a, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16750 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/29, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2249 by 277.\nAnswer: -2249\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d - 1. Let b be q(2). Let p = -69769\/5 + 13954. What is the closest to 1 in p, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/12 - o**3\/6 - 2*o**2 + o + 3. Let z(q) be the first derivative of d(q). Let j be z(3). Solve j = -3*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2691985156 to the nearest integer?\nAnswer: 51884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5\/3 + 82*k**4\/9 - 106*k**3\/9 - 14*k**2\/3 + 118*k\/9 - 40\/9 = 0 for k.\nAnswer: -1, 1\/2, 1, 4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 404?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(132)\/sqrt(176) + sqrt(12)) + 5*(sqrt(52) + 5))**2.\nAnswer: 540*sqrt(13) + 53533\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 589894, 589885, 589864, 589825, 589762, 589669, 589540, 589369?\n\"Answer: -q**3 - 2*q + 589897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44558147 and 299009.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*z = 371*z - 14 + 16, 0 = 5*c - 5*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 326930531 to the power of 1\/2, to the nearest integer?\nAnswer: 18081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02452 - 4.\nAnswer: -4.02452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 6*g + 18*g + 6)*(-3 - 6 + 7)*(0 + 0 - 1).\nAnswer: 14*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)\/(j\/(j*j**(-3\/13)\/j*j*j)))**(4\/27) assuming j is positive.\nAnswer: j**(16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/371869 + 8924870\/2603083. Solve 6\/7*v**4 + 12\/7*v**2 - 16\/7 - u*v + 22\/7*v**3 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 - z + 4. What is v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lduldviu. Give prob of sequence dvi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/20 + (-10)\/25. Sort 2, 2\/19, -3\/4, a in descending order.\nAnswer: 2, a, 2\/19, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/5 (b) -0.1 (c) 25 (d) -4.8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36134)\/(-20) - (-249)\/830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739674334 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*f**2 - 41907*f - 42030 = 0. Calculate f.\nAnswer: -1, 14010\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8253)\/28296)\/(70\/270)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1922*q**3 - 1245580*q**2 + 80354*q - 1296 = 0?\nAnswer: 1\/31, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -249 + (0\/2)\/(-4). Let s be 3\/(-5) - m\/15. What is the greatest common factor of 12 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1525424 and -0.225.\nAnswer: 343220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, b: 4, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09296678 to 3 dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/2 and -45\/101026.\nAnswer: 101026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-8)\/h*h)\/h))\/(h**7*h))**(-3\/8) assuming h is positive.\nAnswer: h**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(108\/5) - (-2)\/8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-1*3))\/(-2). Let q(x) = -x**3 - x**2. Let w be q(-1). Suppose 0 = 4*d - 3*d - 3. Solve -i + k + d = w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 3*m - 3*o, -o + 79 = -70*m + 65*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/20*(-2900)\/(-40). Calculate the highest common divisor of w and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53457, -106912, -160367, -213822, -267277, -320732?\n\"Answer: -53455*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:44 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**3 + 1749846*t**2 - 26828760*t - 18663552 = 0. Calculate t.\nAnswer: -2\/3, 16, 194412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8740\/11157 or 3\/2?\nAnswer: -8740\/11157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-1) + 1 + -2. Suppose 4*l + c + 9 = 0. Let b(n) = n + 9. Let v be b(l). Put -3, 0, v in increasing order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*v = -349, -3*y + 7*y - v - 454 = 0. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9172*t + 146751. Give q(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.06, 4, 2, 2\/3, 0.05, 2.71?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.1, 10 in increasing order.\nAnswer: -3, -1.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.2, -1\/12, -20?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3781881 and 6132780.\nAnswer: 226912860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-1) - 13\/(-13). Suppose 5*t - 2*l - 129 = 0, 0 = 2*t - 4*l + 3*l - p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5950 - -5946. What is the third biggest value in -0.03, o, 2, 0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4344)\/(-108) - 4\/18?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 66 = 54. Calculate the remainder when 118 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -44 - -71 - 18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 + 0 = 0, 2*s - 21 = -3*m. Let g = -8 + s. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -21421114?\nAnswer: 21421130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.502949 years to months.\nAnswer: 90.035388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 38*f**3 - 397*f**2 + 684*f - 324 = 0. What is f?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.2370009274 + 8.237. What is z rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.3 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 34472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 8*g + 5. Let i be 12\/14 + 5 + 246\/(-42). Let c be w(i). Solve -2*z + 6*z = c*b - 3, -4*b = 5*z + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 11:56 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) -178\/163 (c) 0 (d) 2\/19 (e) 1 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.9, 0, 0.4, -0.1, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600932, 600954, 601000, 601070, 601164?\nAnswer: 601282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 11, l: 2, g: 2, d: 1, j: 1, w: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1673 divided by -13.\nAnswer: -1673\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 495 + -425. Suppose 3*b = 3*u - 24 + 9, -2*u + 5*b + 16 = 0. Determine p so that x*p**4 - p**3 - 5*p**2 + 6*p + 11*p**u - 65*p**4 - 16*p = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305550 by -61110.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2029275, -2029273, -2029271, -2029269?\nAnswer: -2029267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**6\/48 + 9*u**5\/10 + 265*u**4\/16 + 179*u**3\/2 + 2855*u**2\/16 + 150*u - 4149. Determine z so that a(z) = 0.\nAnswer: -5, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13118 + 13124. Solve -3*v = 5*o + 13, x*v = -o + 9*v + 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/13 + 14388*t**2\/13 - 1592054*t\/13.\nAnswer: 2*t*(t - 109)*(t + 7303)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(2*j + 3*j - 4*j) - 3*j - 3*j - 7*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/960*(4 + -3 - -2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 + (2 - 1 - 3)*(3 + 1 - 3) - 3 - 3 + 3)*(-17*z + 29*z + 58*z)*(z + 2*z - 5*z)*(-1 + 1 + 5).\nAnswer: 4200*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.192184 - -2.199. Round s to 4 decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 538 - 21?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 4*s - 3*s to the form j*s + q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n - 53. Let x be i(-5). Calculate the highest common divisor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttflpkltpptpxpllx. What is prob of sequence fp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9830 - -9834. Solve h = -36*j + 37*j + 3, -5*h + u*j + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 2, v: 2, h: 4}. Give prob of sequence hva.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 398, 397?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -611*i**3 - 2*i**2 + 3*i. Let w(d) = d**3 + d**2 - d. Determine -n(m) - 2*w(m).\nAnswer: 609*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:19 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 1. Let p be 2 + ((-2)\/(-4))\/(2\/(-8)). Let u be v(p). Let j = -5 + 5. What is the closest to 1\/4 in -0.4, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -99*y + 66*y. Suppose -27 = 3*n + 4*h, 5*n + h = -4*h - 40. Sort n, y, 8 in ascending order.\nAnswer: n, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 492 = -674. What is the lowest common multiple of o and ((-2)\/5)\/((-2)\/20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 314219.\nAnswer: 2827971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4*(-12)\/30. Is (v - (8 + -5))*10594\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12. Suppose -5*b + 2*b = 5*v - 28, -3*v + 3*b + 12 = 0. Suppose s*x - v = x. Solve -x*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 + 11*i + 5. Suppose 346*y + 80 = 336*y. Let m(c) = 3*c**2 + 7*c + 3. What is y*m(w) + 5*k(w)?\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80.83 - -1.83. Let p = -78.99593 - f. What is p rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + y + 4)*(-2 + 4 + 0)*(-40 + 37*y + 42*y - 81*y) to o*y + j*y**2 + n and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004774718 rounded to four decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r - 4*r**2 - 1\/20*r**5 - 3\/4*r**4 - 209 - 3*r**3. Solve m(t) = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 - 11 = -3*d, -2 = 2*d - 4*a. Let r(l) = 5*l**3 - 5*l**2 - 5*l - 6. Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5636 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(5*m - 4*m + m)*(32*m + 8*m + 4*m).\nAnswer: 176*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 513691\nAnswer: -5\/513691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*d + 4*m - 4, 0 = -3*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:43 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 57829 - 447\nAnswer: 57382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*w + 32*w + 11*w + 22 - 45 - 6*w**3 + 29*w in the form t + c*w + x*w**2 + v*w**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 26*z - 44 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 22, 29, 38, 49, 62, 77?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -29, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = 2*x, 3*q + 5*x - 7 = 0. Suppose 3*i = -3*r + 12, q*r - 31 = i + 5. Solve 3*c - 1 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241 and 2062960.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2288419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 12*w - 7. Let b = -990 + 984. Determine y(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3339348050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 4. Let k = 7 - a. Let y(q) = q**3 - 3*q**2 + 2*q. Determine y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159456 by 96.\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7632*r**3 + 4*r + 2 + r**4 - 7633*r**3 - 1 - 12*r + 17*r**2 to a*r**4 + b*r**2 + d + f*r**3 + z*r and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 + 5*b + 2. Let r be h(-6). Let n(a) = -a**3 - 6*a**2 + 4. Let v be n(-6). Calculate the greatest common divisor of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*m**4 - 9*a*m**3 + 453*a*m**2 + a*m - 567*m**3 + 5*m**2 + 4 wrt m.\nAnswer: -72*a*m - 54*a - 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-372))\/(690\/920).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 57675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -720 - -752. Solve 0 = -10*p + 18 + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -1\/6 (b) -37 (c) -5 (d) 5 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 1296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/33*-3)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 10. Let f be x(-4). Suppose 0 = -2*i + 7 - 3. Solve -i - 4 = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -820.70846815 + 664.7084845. Let a = b + 156. Round a to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.13 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:50 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**3 + 7953*h - 3 - 3972*h - 3976*h + h**2 to i + o*h**2 + j*h**3 + x*h and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*(j\/j**(3\/8)*j)\/j*j*j\/(j\/(j\/j**8*j*j))*j*(j\/j**3)\/j*j\/(j*j\/j**(3\/11)))**44 assuming j is positive.\nAnswer: j**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/167 in -201, -3, -222?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 p when four letters picked without replacement from {p: 5, o: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84412 + -44811. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*o + 15. What is the nearest to -1 in o, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 + 15*m**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425.8 rounded to the nearest 10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -31*o**2 + 10*o + 4. Let l(p) = -31*p**2 + 9*p + 3. Let w(y) = -7*l(y) + 6*m(y). Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 106\/(-10). Let j = n - 7. Suppose -j*s = -s - 27. Solve 5*c - 2*c = -s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/3)*a)**40\/(a*(a\/(a*a**21)*a)\/a*a*a)**(-9) assuming a is positive.\nAnswer: a**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.3. Let k = m - -0.09999992. What is k rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1985851 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*c**2 - 1032*c**2 + 2117*c**2 - 534*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - (-1*sqrt(228) + sqrt(228)))*2 - sqrt(228))*-6*-2)\/(-1*sqrt(972) - (sqrt(24)\/(-4*sqrt(2)) + sqrt(12))).\nAnswer: -32*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + -0.9. Let z = u + -6. Which is the closest to z? (a) 4\/7 (b) 3\/8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133078721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4\/3, 227 in ascending order.\nAnswer: 2\/5, 4\/3, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/792 and -73\/288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 26480*v**2 + 211600*v - 423040 = 0. Calculate v.\nAnswer: 4, 5288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttoggpohogohp. What is prob of picking 2 h, 1 o, and 1 g?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (189 - (36 - -58))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280559360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 13 in increasing order.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6*w = -48. Is (-6 - 143)*(-21)\/(w\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(18) + -2)**2 + 3 + -1 + ((sqrt(80) - sqrt(20))*5)\/(sqrt(20)\/(sqrt(6)\/sqrt(3))).\nAnswer: -7*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138756\/13 + -10673. Which is the closest to 2? (a) -1 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - u. Suppose 0 = 2*m - 4, -2*c = 9*m - 5*m + 388. Let f be (c\/(-231))\/((-2)\/(-7)). Solve 2*i - 8 = 4*r, 12 - u = r - f*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2 + 0*a + 1\/8*a**4 - 1\/6*a**3 + 0*a**2. Factor m(c).\nAnswer: c**2*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2661 - 2666. What is the closest to -504 in y, -0.5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 65. Let m(z) = -2*z + 3. Let w be m(-3). Calculate the greatest common divisor of i and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*54\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*d + 21*d - 10*d**2)*(3*d**2 + 3*d**2 - 2*d - 10*d**2) to b*d**4 + t + o*d**3 + z*d**2 + j*d and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, 5941.\nAnswer: -25, -4, 5941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*i + 56 = 2*y, 58*y - 53*y = -7*i + 121 + 19 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 727.4743.\nAnswer: 727.0743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -453527, -907455, -1361383?\n\"Answer: -453928*a + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 5*s**6\/18 + 10*s**5\/3 - 45*s**4\/4 - 160*s**3\/9 + 130*s**2\/3 + 80*s + 571. Solve m(a) = 0 for a.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11*j - 211 + 2*j**3 - 2*j**2 - 93 + 35.\nAnswer: 2*j**3 - 2*j**2 + 11*j - 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(-4)*464\/(-696))\/(1\/3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1233 - -3695\/3. Which is the nearest to 1\/4? (a) x (b) -3\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64521594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(567)) + sqrt(567).\nAnswer: -9*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 124\/93 + (-1)\/(3*1). Let x = g - 2. Let n be 54\/15 + 6\/(-10). Put -2, n, x in ascending order.\nAnswer: -2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -522\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2941, -2957, -2973?\nAnswer: -2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - 6*a + 6. Let m(d) = -d**2 + d - 1. Let g(c) = -f(c) - 6*m(c). Let s(x) = 2*x**2. Give g(s(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**4\/4 - g**3\/3 - g**2 + 489*g + 14. Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512586349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 106.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 87?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 2 + -18 + (11 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172389148\/5 not equal to 34477830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154739117*c**2 - 3*c - 154739128*c**2 - 7 + 3*c.\nAnswer: -11*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 11 + (4 + -4)\/(5 + -1). Solve 2*v = w - 4, 12*v - 9*v = 2*w - i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**3*z - 1021*b**3 + 51*b*z wrt z.\nAnswer: 7*b**3 + 51*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 147 + 50 + 47 + 50.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57 + 0.33. Let p = m + 3.1. Let r = 1.1 - 1.6. Which is the nearest to 0? (a) p (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 - -0.18. Let q be 6\/(-4) - (-1)\/2. Let o(c) = -c**2 + c. Let x be o(q). What is the closest to 0 in 1, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/28)\/((-3)\/14). Let x = 13.7 - 1.7. Let v = -8 + x. Which is the biggest value? (a) v (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -17. Suppose -3*f - 24 = -x. Which is the nearest to 1? (a) 2 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/187)\/(0 + -1) - (-10431)\/(-78489).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000122 (base 3) to base 10.\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(432))*-2 + 4)*1)**2.\nAnswer: -96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**2 - 14*z - 13. Let y be g(-8). Suppose -y*f = 257 - 2239. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260050 is divided by 191767.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/4 (b) 0.1 (c) -3 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*o - 306*o - 67*o = 9455 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 + 163. Sort z, -4, -5, 1 in descending order.\nAnswer: 1, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3 - 2120*w**2 - 34549?\nAnswer: -3*w**2 - 4240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 2. Let x = 349 - 222. Suppose -27 + x = 20*y. Calculate q(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105492 and 1490?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 38. Give x(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = 0. Solve c*s - 3 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2586\/(-3017)*35\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 1574 (c) -0.4 (d) -4 (e) 0.2 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + (-22 + 9 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhhh when four letters picked without replacement from hhhmmhhhhhhh?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36501.4g to tonnes.\nAnswer: 0.0365014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*m - 3 = 0, 3*f + 4*m = -3 + 24. Let u = -1 - 3. Let j = 0 + 5. Put u, j, f in decreasing order.\nAnswer: j, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32dea - -23?\nAnswer: -32dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 63 = 2*a, 4*v + 23 = 2*a + 5. Let q = a + -8. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, t: 3}. Give prob of sequence nt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (-78 - -41 - 42) - 6\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 6*j**2 + 9*j + 12. Let r be o(-5). Let t = 413 - r. Which is bigger: -77 or t?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**4\/28 - 8*j**3\/7 - 27*j**2\/14 + 54*j\/7 - 147. Let i(q) = 0. What is q?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 4*z = -486, -118 = -2*t + z - 79 - 63 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 795, -34, -7, 4 in ascending order.\nAnswer: -34, -7, -5, 4, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 - y + 29. Let w(m) = 2*m**2 - m + 2. Determine -5*t(c) - 2*w(c).\nAnswer: c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 38372.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1. Let o(w) = 22*w - 12. Determine -o(m) - 12*v(m).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*o**5 - 68*o**4 + o**2 - 866*o - 8.\nAnswer: 240*o**3 - 816*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 91 = 2*b - 0*b - 5*n + 36, 6*n - 9 = -9*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - u**2 + 2 + 2 in the form s + g*u + n*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0382 + -2.9618. What is the closest to -4 in -1\/8, -0.5, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 5*l + 0*l)*(6*l - l - 4*l) + 67*l - 4*l**2 - 67*l - 5 to the form q*l + v + w*l**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 124*r**2. Let x(n) = -2*n - 427 + 427. Determine x(u(t)).\nAnswer: -248*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5\/4 - 2965*c**4\/4 + 4475*c**3\/2 + 1475*c**2 - 8930*c + 5960 = 0.\nAnswer: -596, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6832 and 28.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from inxixiivnnxiiniiiiin.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/5)\/t**(-8))\/(t*t*(t**(2\/5)*t)\/t)**35)**50 assuming t is positive.\nAnswer: t**(-3830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 9*x**3 - 125*x - 133*x + 257*x.\nAnswer: 9*x**3 - 38*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 2*v**2 - 1\/24*v**4 + 0*v + 0*v**3 + 11\/30*v**5 + 0. Does 13 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -5*r**7\/21 - r**3\/2 + 5*r. Find the second derivative of g(x) wrt x.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*n**(3\/4)*n)\/n*n\/(n**(-4)*n))**(-33) assuming n is positive.\nAnswer: n**(-1023\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-19)*t)\/(t*t**(20\/11)))\/(t*t**(-6\/7)\/t*t\/((t**(-36)*t)\/t)) assuming t is positive.\nAnswer: t**(-4309\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584458.\nAnswer: 2, 792229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*w*z + 45634477*w - 88002*z wrt z.\nAnswer: -105*w - 88002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, -3, 10 in increasing order.\nAnswer: -3, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(1\/4)\/a*a)\/a))**(-36))**(22\/7)\/((a*a*a**(-1\/3)*a)**(-3\/13)\/((a\/a**0*a)\/(a**(1\/13)*a))) assuming a is positive.\nAnswer: a**(-2554\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f + 5. Let i(o) = -35*o + 521. Let d be i(15). Let x(l) = -1. Give d*x(t) - y(t).\nAnswer: 7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {s: 6, d: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w = -44*w + 25. Find the second derivative of -10 + 52*a**4 - 6*a**3 + 4*a**3 - w*a**4 + 2*a wrt a.\nAnswer: 324*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20087765?\nAnswer: 5, 4017553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 7*s - 20. Let t be u(6). Let b = t + -91. Factor -1820*c**3 - 100000*c - 625*c**3 + 445*c**b - 2*c**5 + 100*c**4 + 20000*c**2 + 200000.\nAnswer: -2*(c - 10)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f + 2*f**2 + 0*f**3 - 11 - 10*f**2 + f**3. Suppose 640 = 3*r + 5*r. Suppose -5*x + 125 = r. Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4056869 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098417 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59385\/8 - -7411. Find the common denominator of -27\/1195 and c.\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-six fifths of a second?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*c - c. Suppose -301 = -27*p - 1327. Let t = c - p. Solve -4*q + t*n - 19 = -3*q, -q + 4*n = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 2 q when four letters picked without replacement from dhdvkqql.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 91. Suppose -b*n - 5*i + 149 = -28*n, -n - i + 53 = 0. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2356 divided by -4\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 175*s - 9. Let x be z(1). Suppose x = 6*a - 650. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 - (232 - 50) - (-88 - 0)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 796679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 420139714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038891804.749 take away 8?\nAnswer: -1038891812.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 68466*o**3 - 128*o**2 - 51*o + 2.\nAnswer: -120*o**2 + 410796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/118950 and -113\/90.\nAnswer: 356850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120202.449 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 + 9*n - 1. Let a be x(-5). Suppose a*v + v = 7535. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 638676491879.\nAnswer: 638676491880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12112331.21000123 + -12112329.6. Let j = -1.61 + b. Round j to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99233.7mg to nanograms.\nAnswer: 99233700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-4)\/(-3))\/((-10)\/1260*-12) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 3*h + 229*y - 233*y, -4*h + 51 = y for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -987711*d**5*z**3 - 116*d**2*z**3 + 23*d*z**3 + 79*d*z**2 - 3746*d*z - 1 wrt d?\nAnswer: -19754220*d**3*z**3 - 232*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2 and -32\/1652121?\nAnswer: 3304242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9711313 to two dps.\nAnswer: 8.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.88 - -2.78. Let v = 115065.1 - 115064.9999977. Let j = v + n. Round j to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*s - 12 = 0, 3 = -5*a + 5*s - 4*s. Suppose -5*t + 7*t - 6 = a. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7 + 17 - 11 + p**3. Determine u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1563084764 to the nearest integer?\nAnswer: 39536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 927 + 603 = 0. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2074 or -2071?\nAnswer: -2074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2339 + 2*u - 1210 - 1327)*(1 - 4 + 5) as n*u + h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(72)\/(sqrt(60)\/sqrt(5))))**2 + sqrt(35)\/(sqrt(42)\/sqrt(6)*2).\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 2*y**2 + 4*y + 1. Let i be a(3). Let x be (0\/(-3) - -2)*i. Suppose f - x = -3*f. Solve -14 = f*p - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9461 by 2.\nAnswer: 9461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 145, 2, 6, -1 in decreasing order.\nAnswer: 145, 6, 2, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:14 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 24. Let y(o) = -o**2 + 8*o. Let t be y(8). Calculate g(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -31*c + 22*c + 10*c**2 - 11 - 12 + 28*c. What is the tens digit of s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let u = h + 0.5. Let z be 3\/(-2)*2 - 20\/720*-138. Put z, -2, u in ascending order.\nAnswer: -2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 4)*(-20*g + 9*g - 22*g) + (1 - 1 - 2)*(-g + 0*g - g) to f*g + k and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 66. Let z(a) = -16*a - 331. What is -11*g(b) + 2*z(b)?\nAnswer: b + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26814, 107428, 241796, 429924, 671818, 967484?\nAnswer: 1316928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 14. Let d be t(-16). Solve 5*u = -d*r + 31, -5 = 5*r - u - 3*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ytpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.88 + 0.28. Let j = -4 - k. Let s = -0.3 + 0.1. What is the biggest value in j, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -23 - (5 - 23) - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1) + 17\/(-1). List the prime factors of ((-16)\/f)\/(2\/85).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*y + 95, -5*y + l + 95 = -6. Let i be y*310\/36 + -2. Let x = 170 - i. Is x <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 79 + 241)*(-5*x + 4*x + 0*x) + (2 + 1 - 2)*(49 - 10*x - 49).\nAnswer: -439*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 938*f + 687 wrt f.\nAnswer: 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19617 - 8064. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 48. Calculate the common denominator of -151\/18 and q - 8\/((-240)\/63).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -126698.4952?\nAnswer: 126698.0952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 - -204. Suppose 8*c - p*c - 10 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 586950 and 3909360?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1671 and -49.\nAnswer: -81879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5))\/k)\/(k**(-1\/9)*k))\/(((k\/k**(1\/7))\/k*k*k)\/(k**(-1\/14)\/k)) assuming k is positive.\nAnswer: k**(-1111\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 - y**2\/2 - y. Let s(l) = 2*l**3 + l**2 + l + 1. Let m be 1\/(-2 + 4 + (-12)\/4). Let q be s(m). What is i(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/9 - 1\/((-16)\/(-48)). Let n(o) = -3*o + 1. Let f be n(2). Which is the third smallest value? (a) f (b) 3\/4 (c) g (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -6?\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 171 = -i, -3*m - 3*i = -2*m - 88. Suppose 0 = -2*k - m - 43. Let w = k + 91. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w + 2. Let h be 2 + (-344)\/(-34) + 42\/(-357). Suppose h*b + 89 - 29 = 0. Give i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b**4 - 50650*b**3 + 5110545*b**2 + 4112780*b + 824180 = 0 for b.\nAnswer: -2\/5, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -14559.4645.\nAnswer: 14559.6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 2241 - 2436 = -28*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(2\/(-10)). Let y(r) = -r**2 + 5*r - 7. Let q be y(5). Let l = b - q. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 5, z: 1, v: 2, r: 4}. What is prob of picking 1 b, 1 v, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/3 (b) 12 (c) 218 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23406.28ng to tonnes.\nAnswer: 0.00000000002340628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300547 divided by 4927?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/(-10))\/11*-82. Suppose -4*d + 8*d - n = 5*i, 0 = 2*d + 3*i - 37. Calculate the greatest common factor of 126 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r - 13475 = 12*r - 113*r. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 2 c when four letters picked without replacement from qyqqyqkqckqfyq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*4*3\/2. What is the first derivative of -1 + 2399*y - j - 2392*y wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*y**2 + 1\/3*y**4 - 1\/3*y**3 + 0 + 1\/3*y.\nAnswer: y*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963962231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 22261746*w**2 + 89047032*w.\nAnswer: -3*w*(w - 4)*(w + 7420586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 17*u**2 + 5*u + 3. Let a be r(6). Let w be -7 + (-20)\/(-5) - (-7)\/(28\/24). Suppose 3*d = -2*c + 651, a = 2*c - 6*d + w*d. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -125 - (-57 - 187 - -240)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6875*j**2 - 6875*j**2 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 20920719200 to the nearest 1000000.\nAnswer: 20921000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obtmnmbx. Give prob of sequence tbmx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.01 - -0.01. Let k = 0.53 - 0.83. Let v be 1 + (-53)\/36 - 20\/(-90). Which is the second smallest value? (a) z (b) v (c) k (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7737.087 micrometers?\nAnswer: 0.7737087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (103\/(4532\/2904))\/(-1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002148617 rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49515, 48594, 47673?\nAnswer: 46752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -16. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -303*((-1172)\/10)\/((-222)\/(-185)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 divide 21566248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 14*p = -52917. Suppose -6*a + 8*a = z + 849, z - p = -4*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(363) + 1 + sqrt(363))**2 + sqrt(363))*-5 + sqrt(363) + -2).\nAnswer: -29068 - 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3674\nAnswer: -7348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 5\/2, 0.3 in descending order.\nAnswer: 9\/2, 5\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 29752 - 5*l**3 - 59502 + 29758. Let t(u) = 3*u**3 - 5. Give 7*t(h) + 5*z(h).\nAnswer: -4*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 58*j - 32*j - 25*j. Solve 2*n = -j*n - 205 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 69*i**4\/4 + 193*i**3 + 814*i**2. What is the first derivative of v(r) wrt r?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15888, -31773, -47656, -63537, -79416?\nAnswer: -95293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + (-6)\/40. Let r = -0.1 + 0.04. What is the biggest value in m, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1137 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {q: 1, l: 2, p: 3, f: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.033, -2\/7, -2\/5, -0.1 in decreasing order.\nAnswer: -0.033, -0.1, -2\/7, -2\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 26. Let v = 1 - 1. Let t = v - 0.1. Put d, t, 0 in decreasing order.\nAnswer: 0, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, -755, 11 in decreasing order.\nAnswer: 11, 4, 0, -1, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442934354.\nAnswer: 2, 7, 31, 197, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -20331 + 30*g**2 + 20331. Let m(k) = -50*k. Calculate d(m(z)).\nAnswer: 75000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-120)*6)\/((-1)\/(-12)). Find the third derivative of -1221 + 293*g**2 - 57*g**2 + 2*g**6 - 15*g**x + 1221 wrt g.\nAnswer: 240*g**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -21. Let g be z\/(-6)*1*(-4)\/6. Factor -4\/7*y**5 - 16\/7*y**4 - 16\/7*y**g - 24\/7*y**3 + 0 - 4\/7*y.\nAnswer: -4*y*(y + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*p - 436*p + 11 = 4*x, 2*x = -3*p + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 9*m - 4. Let o be i(-6). Is o - 2\/(-4)*0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101101110101110 (base 2) in base 7?\nAnswer: -2102106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/135*-3 + (-1120)\/525\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 329*j - 1349*j + 626*j.\nAnswer: -j**3 - 394*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-4 + 2))*7. Solve 3*q = -u - 4*u + o, 4*q - 15 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 63010773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 6)*(-224)\/(-24). Let d(i) = -j*i - 14*i - 34*i + 24*i. Is d(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, q: 3, f: 2, h: 4, a: 4, p: 2}. What is prob of sequence ahna?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-66)*93\/62 - (-4)\/22. Which is bigger: 13558 or y?\nAnswer: 13558","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a meter in centimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167926 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: b\"What is the rth term of 740, 2920, 6528, 11546, 17956?\n\"Answer: -3*r**3 + 732*r**2 + 5*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyywwy. What is prob of sequence yw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.9 + -18. Which is the nearest to 0.2? (a) x (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -593 - -594. Which is smaller: -1\/870 or s?\nAnswer: -1\/870","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -133*w + 126*w + 1 + 2. Let v(s) = 2*s**3 + 2*s**2 - 3*s - 3. Let k be v(-2). What is the remainder when p(k) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0, -2, 1278, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 10*d**2 + 767*d - 6374. Give b(-84).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 550\/9 - 5573\/99. Suppose -6 = 9*a - 15. Let j = -15 - a. Find the common denominator of j and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3545973 divided by -9\nAnswer: -393997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6435*z = -6339*z + 1440 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 3*x + 5, -5*h - 3*x + 2 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 2*f = 0, 4*f = -3*o - 0*o - 0*f - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = 4*h, 4*h - 115*r + 110*r + 20 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23754, -23779, -23804, -23829, -23854?\n\"Answer: -25*w - 23729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/431 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25455131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let f(u) = 103*u**2 + 7*u - 63. Let r(p) = -51*p**2 - 4*p + 36. Let j(o) = 4*f(o) + 7*r(o). Determine x(j(a)).\nAnswer: -110*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 18. Suppose -4*r = 4*t + 128, -36 = 5*t - 4*t + 3*r. Let w = t + c. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -10\/9, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -84679?\nAnswer: -127018.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -57*i + 2973465. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 42. Let p be j(-21). Suppose -3*d = -p*l - l - 10, 4*d + 5*l + 12 = 0. Let -2*i + 4 - 16*i**d - 4*i + 5*i + 13*i = 0. Calculate i.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56208 - 6*p**2 - 2*p**2 + 112090 - 55882.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630930325 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0990546 millennia to months.\nAnswer: 1188.6552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*c + 6 = -149*c. What is the second derivative of 8*h**c + 269*h - 497*h + 248*h wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 + -228.99798. What is v rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/27*(-27)\/60*-2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1317520*u**4 + 44*u**2 - 3*u - 47486542?\nAnswer: -15810240*u**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 18*n - 16*n. Suppose -35*h + n*h = 0. Suppose 4*g = -h*g + 84. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 6*g**2 - 5*g + 9. Let u(b) = 4*b**3 - 11*b**2 - 9*b + 17. What is 6*u(h) - 11*x(h)?\nAnswer: 2*h**3 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*s*t + 11*c*s - 10*c*t - 2*c - 33803*s*t - 26*s + 341 with respect to t.\nAnswer: -5*c*s - 10*c - 33803*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30*(((-3)\/(-15))\/(-1))\/(21\/105)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 7*j + 1. Let b(r) = r**3 + r. Calculate -4*b(d) + n(d).\nAnswer: -2*d**3 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uty when three letters picked without replacement from {w: 5, t: 2, y: 1, r: 1, u: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18318906*l**2 - l + 102999089.\nAnswer: 36637812*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from qxeee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -83. Suppose -2*d + 2*i + 48 = 0, -5*d = -0*d + 5*i - r. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 2075.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 67 + 1. Let o = v - 20. Let u = -9 + o. Which is the nearest to 0.04? (a) -2 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8160\/3443 or 1?\nAnswer: 8160\/3443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*q - 3. Is 10 a factor of (-72896)\/(-224) - q\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -702, -1151, -1600, -2049?\n\"Answer: -449*m - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4279 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 4:07 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*v - 2*a**4 - 30*a**3*v - 108*a**3 + 44*a**2*v - 4*a*v + v + 2 wrt a.\nAnswer: 48*a*v - 48*a - 180*v - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 969 and 59673927?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:21 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:23 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*n**4 + 7*n**4 + 21*n**4 + (-4*n - 3*n + 4*n)*(n**3 - 2*n**3 - n**3) + n**2 + n**4 - n**2.\nAnswer: 69*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 10*l - 15. Calculate the lowest common multiple of r(-12) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72719 and -48.\nAnswer: -72767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*g + 0 = -3, -4*g = -3*m. Let u be (-1*-1*m)\/2. Let p(r) = -r**2 + r + 1. Determine p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2758 and -55\/5516.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104025888*z**3 - 5616604632*z**2 - 85675535*z\/2 - 81675.\nAnswer: (z - 54)*(14424*z + 55)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*x - 20, 19*a - 23*a + 15 = 3*x. Let v(o) be the second derivative of 1\/6*o**3 + 0 - 5\/2*o**2 + x*o. What is v(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.89 - -1.89. Which is the closest to -99? (a) o (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:30 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/5451 + 24833\/1817. Find the common denominator of t and 40\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16657, -33835, -51543, -69781?\nAnswer: -88549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - h + 20 = 0, 3 = -m + 4*h - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/60 and -187\/190980?\nAnswer: 190980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 + 63 = -9*d, -3*d - 2*b - 13 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15570574*m - 8300 = -15570474*m for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 61*z**3 - 6*z**2 + 167*z + 5. Let h(b) = b**2 - 33*b - 1. Give -5*h(y) - r(y).\nAnswer: -61*y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*y, 0 = s - y - y + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/18 + (-4 + 6 - -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -342054.25 and 6.\nAnswer: -2052325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 254*z**3 - 7932*z**2 - 8704*z + 16384.\nAnswer: -2*(z - 64)**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 7, l: 1, u: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 47*m**2 - 99*m - 73. Calculate w(-49).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392044949?\nAnswer: 3, 17, 61, 149153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 - 136. Which is greater: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269392 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -823, -3, -6\/4955?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - 4*f**3 + 0 + 4 + 3*f**3 + 3*f to y + z*f + x*f**2 + s*f**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*o - 2*o. Let z = -5 + o. Suppose -z*h = -272 - 173. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + 0.13. Which is the third biggest value? (a) 0 (b) h (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 85 = f, -2*f - 50 = 3*d - 5*d. Let l be d\/(-6)*(-2184)\/260. Solve -l = -3*a - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - 14\/8. Suppose 0 = 4*j - 5*i + 11 + 1, -5*i = 2*j - 24. Let c be j\/7 - 36\/(-21). Put x, c, 1 in descending order.\nAnswer: c, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/102*(-3036)\/176 and -91\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**2 - 30*x + 35 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12 - 3 - 10*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6143 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605432 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11043413211 (base 5) in base 13?\nAnswer: -2674954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)*(36 - 2\/(-2)). Solve -4*c - b = -29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1900*v**3 + v**2 + v - 2. Suppose -4*b - 3*c - 5 = 0, -4*b + 0*c + 3*c + 13 = 0. Let z be a(b). What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 24 = 0, t + 29*o = 24*o - 37. Solve -5*q + 5*j + 35 = 0, -q = -t*j + 6*j + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*w + 65525 = 0, -4*z + 26527 = -2*w - 25883. List the prime factors of z.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09648 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*((-2*h - 5*h + 5*h)*(h - 5*h + 2*h) + (4*h - 7*h + 2*h)*(4*h + 2*h - 5*h)) as z*h + v + u*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)**2*4*-4 - (((sqrt(243)*-1 + -1)**2 - sqrt(243) - sqrt(243)) + 4 + sqrt(243)*2).\nAnswer: -4152 - 306*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500204 and 5002040.\nAnswer: 5002040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p - 11 + 11 - 8*p + 137*p + 10*p.\nAnswer: 122*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199 and -0.5.\nAnswer: 99.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0249 - -1.9799. Let f = -2 + j. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 3 - 3 + (0*j + j - 2*j)*(1 + 4 - 6) + 0 + 0 + j - 3*j + 0*j + j)*(4 - 2 - 3)*(0*j - j**2 + 0*j) as k + p*j + t*j**2 + o*j**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by 5.\nAnswer: -253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687394063 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v + 151. Calculate j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:52 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133748*l**5*n + 4*l**2*n + 3*n - 122 wrt l?\nAnswer: 8024880*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770020 = -3*v + 5*m, -4*v + 0*v - 5*m = -2359980. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 33, 72, 127, 198, 285, 388?\n\"Answer: 8*u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 36*f - 64. Give c(9).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h + 5. Let f(u) = u**2 - u - 2. Let y be f(2). Let i be b(y). Suppose i*r - 38 = 5*x + 2, -3*x = -r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (753\/72 + 21\/504)*-2*(-20)\/(-56)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (66\/30)\/((-3)\/(-5)) and 9\/(-2)*10\/25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9) + 171\/27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, -1, 2, 3 in increasing order.\nAnswer: -20, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.255 - 88.255. Which is the closest to 1\/2? (a) 0.5 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4342.955 - 4321. Let j = -22 + q. Round j to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.350978 rounded to two dps?\nAnswer: 224.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t - 105*t - 3191 + 1063 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 68) + (0 - 2) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or -1635\/8?\nAnswer: -1635\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 1. Let s be q(3). Let b be (12 - -1)*(-3 + 4). Suppose -4*z = -v - 34, 4*v - b - s = -2*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257153 - -3582.3?\nAnswer: 260735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 255?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 n when four letters picked without replacement from {n: 6, y: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 29*d + 152. Determine q(12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20049.\nAnswer: 3, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9923029 kilometers in meters?\nAnswer: 992.3029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*x - 43*x**2 + 62*x + 57*x - 745*x + 63*x + 53*x.\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 459 - 465. What is the nearest to m in -0.4, 2\/7, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*r - 88 - 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1513962 to the nearest 10000.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3630 - -4?\nAnswer: 3634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 368*s + 367*s = -77, 7 = -z - 3*s. Solve -20 = -2*g - 243*f + 247*f, 3*f = 2*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6258.297 hours?\nAnswer: 22529869200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8879.\nAnswer: 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2793) - ((sqrt(2793)*2 + sqrt(2793))*5 - sqrt(2793) - sqrt(2793)))\/((1*sqrt(300))\/sqrt(4)))**2*4.\nAnswer: 536256\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -20 - ((11 - -1) + (-18 - 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 480779, 961567, 1442345, 1923107, 2403847?\n\"Answer: -s**3 + s**2 + 480792*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2369622 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, -51, 131 in decreasing order.\nAnswer: 131, 5, -1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose 2*t = 5*t. Suppose t = 5*u - 0*b - 5*b - 5, -6 = -y*u + b. Solve 5*g - u = -5*w, 2*g - 1 = -w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 11*w - 5*q + 109, -5*w - 3*q + 146 = 0. Find the third derivative of 0*z**4 + 14*z**3 - 10 - w*z**2 - 65 + 3*z**4 + 29*z**2 wrt z.\nAnswer: 72*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 672 = -3*z + 681, -7*m + 5 - 2 = z - 3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -7*p**6\/3 - p**3\/3 - 3*p**2\/2 - 19. Find the third derivative of m(i) wrt i.\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.083 at least -482\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/912 and -49\/30.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 1, -76, -3 in descending order.\nAnswer: 5, 3, 1, -2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*a**3 + 4*a - 2340 wrt a.\nAnswer: -912*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 45*f + 3 + 74*f**3 + 23*f - 4.\nAnswer: 74*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045517 is divided by 409056.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -586*n - 4386. Calculate k(-8).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/40 + o**5\/12 + 11*o**4\/24 + 19*o**3\/6 - 1219*o**2. Determine u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6*((-147)\/(-4) - 25\/(-20)). Let o(p) = 42*p - 805. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1862740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 2*b**2 + 2*b - 14. Let l(t) = -t**3 + t**2 - 5*t + 4. Determine -l(y) - o(y).\nAnswer: -y**3 - 3*y**2 + 3*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004626 (base 7) in base 8?\nAnswer: 716670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.28054 meters to centimeters.\nAnswer: 1128.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -1\/2 (c) -49\/18 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2766*k - 3370*k + 6434*k)*(-k**2 - 2*k**3 + k**2) to the form c*k**3 + n + w*k + j*k**4 + a*k**2 and give j.\nAnswer: -11660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -37. Let x = 19.948 - o. Round x to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 221509 - 43653 = 0. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/152 and -6 + 0 - 6273\/(-656).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 2*t + 2*t, -3*t + 3*m + 21 = 0. Suppose 2*r + 9 = -5*h, t*r = 7*r + 5*h. Suppose 0 = 5*a - r*a - 26. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*o + 6 = -0*j, -3 = -j - o. Suppose -4*d - 2 = -j*d. Let f be d + (1 - -7 - 1). Solve -5*t - f = 2*k, -2*k - 2*k + t - 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (421 - 377) + (-42798)\/973.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.63 rounded to zero dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32146 + 30*b - 16*b + 28*b.\nAnswer: 42*b - 32146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4684949*y - 33*y**2 - 4684949*y.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7139 and 730833.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t - 3*y, 0*t - 27 = -3*t - 4*y. Suppose 0 = t*d - 60 + 10. Is 1 + 0 + 6400\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*y + 769, -47*y = -51*y + 3*g + 1473. What is the greatest common divisor of 5828 and y?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5974*z**2 - 2272*z**2 - 2957*z**2 + 3094*z**2.\nAnswer: -8109*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65692.43mg in nanograms?\nAnswer: 65692430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -29. Let m(n) = n**3 + 9*n**2 - 12*n - 13. Let r be m(t). Let p = 36 - 1. What is the highest common divisor of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45314457.44 rounded to the nearest one thousand?\nAnswer: 45314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 7, z: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 - 327613226?\nAnswer: -327613226.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Suppose -2*y + r*y - 6 = 0. What is the second derivative of g - g + 2*g**y - 4*g + 0*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44, -4 in ascending order.\nAnswer: -44, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r + 0*r**4 + 0 + 0*r**6 - 1\/3*r**3 - r**2 + 0*r**5 + 1\/105*r**7. Differentiate j(v) with respect to v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40437429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 5909568.\nAnswer: 11819136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9 - 3, 3*t - 4 = 5*z. Let w be 2\/(t\/6)*2. Suppose -8 = -w*u + 1. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.237 + -4\nAnswer: -15.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*u - 16, 4 + 3 = d - 2*u. Let y(q) = -q**2 - 12*q + 1. What is the remainder when y(-12) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*t - 161*t - 56*t - 160*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001241402 to seven dps.\nAnswer: 0.0001241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*z - 5, -3*z - 2*x = -3*x + 15. What is the biggest value in -2, z, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2 - 144*g - 795 = 0.\nAnswer: -5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22244*i**6 + 40023*i**2 wrt i.\nAnswer: 2669280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i - 20 = 51. Let s(c) = 4*c + 3. Determine s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2630528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = 30*d - 33*d - 46*d. Solve -4*z - 23 = -d, 0 = 4*f - 5*z - 31 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 18. Suppose 2*b - 5*q + 33 = 0, -3*b + 0*q + 2*q - 22 = 0. What are the prime factors of i(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**7\/168 - x**6\/40 + 2*x**5\/5 - 5*x**4\/6 - 2*x**3 - 173*x**2. Find o, given that g(o) = 0.\nAnswer: -6, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 0*h**2 - h - h**4 - h**2 - 8*h**4 + 1 to the form t*h**2 + p*h**3 + k + r*h + l*h**4 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8942 take away 85189094.18?\nAnswer: -85189093.2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5351 is divided by 317.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50268104 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 11) to base 4\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -30. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -906*n**3 + 2*n**2 - 31*n - 138. Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 1332200120?\nAnswer: -1332200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xptqqet. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 - 6*a**2 - 4*a + 4. Let b(u) = -4*u**3 + 13*u**3 + 0*u**3 - 2*u**2 + 7*u**2 + 3*u - 4 - 3*u**3. Calculate 4*b(i) + 3*q(i).\nAnswer: 3*i**3 + 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5944\/912) + 214\/963*(-18)\/8.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from huurbhhurhrqkur?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(3) + -1)**2 + sqrt(3)).\nAnswer: -32 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 493987 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12*27\/3. Suppose -p*z + 0 - 24 = 0. Let w be (4\/3)\/(z\/(-24)). Solve 11 = -5*s + w*y, -3*s - 6 = -y + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 take away 0.3286?\nAnswer: 349.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-5)\/(1775\/5))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:25 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 20602?\nAnswer: -111\/20602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8362 and 904?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 957812.6 hours in nanoseconds?\nAnswer: 3448125360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 94, 193, 322, 475, 646?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19165*j*x - 8066*x wrt j?\nAnswer: -19165*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/9 - i\/3 + 6.\nAnswer: -(i - 6)*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(3\/11)\/y)\/y)\/(y*y\/(y\/(y\/(y*y\/(y*y**(4\/3))*y)*y*y))*y*y))**(-35) assuming y is positive.\nAnswer: y**(8155\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10524, 18964, 27404, 35844, 44284, 52724?\nAnswer: 61164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - s = 2 + 3, 5*a + 5*s - 15 = 0. Let k = -96 - -100. Find the third derivative of 382*o**k - 3 - 396*o**a - 26*o**2 + 3 wrt o.\nAnswer: -336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 8*h**2 + 8*h + 8. Let d = 6 + 1. Let x be c(d). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 4148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 15*l**3 - 2*l**3 - 4*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155532 and 3315?\nAnswer: 13220220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, 612, 1909, 3866?\n\"Answer: 330*o**2 - 353*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 104\/24. Which is the closest to -1\/2? (a) 1\/3 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1990240894 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t. Let z = 22.5 + -22. Which is the third smallest value? (a) t (b) 1 (c) z (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 241. Determine y(43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(1\/6*6)*-11*-2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, r: 6, m: 1, n: 3, g: 1}. What is prob of picking 2 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878 times 12.9?\nAnswer: 24226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 581c3 + 17?\nAnswer: 581da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -83. Let s = 31 + -34. Let i be x\/4*(-2)\/s. What is the greatest common divisor of 72 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21494, -21482, -21466, -21446?\n\"Answer: 2*m**2 + 6*m - 21502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47393, -47369, -47345, -47321?\nAnswer: -47297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/50)\/((-100)\/(-250))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 163, 11, 0 in decreasing order.\nAnswer: 163, 11, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.4. Let n = 9 - 14. Which is the third smallest value? (a) -0.04 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -8, 158, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 7 - 21. What is the remainder when 7 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 4*v = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/2 + 219*u = 0. Calculate u.\nAnswer: -146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 11*y - 3. Let i be k(6). Let n = i - -92. Suppose 2*c - 23 = n. What is c rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.4 - 17.5. What is the nearest to c in -3\/22, -0.1, 0, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 25*w - 32. What is x(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 44*k**2 - 7*k. Let i(o) be the first derivative of -o**2 - 1530. Calculate f(i(l)).\nAnswer: 176*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*k**4 + 88*k**4 + 73*k**4 - 193*k**2 - 574*k**3 + 1041*k**2 wrt k?\nAnswer: 24*k - 3444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 - 2*q - 103*q**2 + q.\nAnswer: -126*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 4*s**4 - 3*s**5 - s**2 + 6*s**4)*(-1 + 4 + 0) - 28*s**4 + 28*s**4 + 5*s**5 + (-5*s + 5*s - 2*s**3)*(-3*s**2 + 4*s**2 + 0*s**2).\nAnswer: -6*s**5 + 6*s**4 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187200 and 1920?\nAnswer: 374400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 252691\/(12 - 253\/22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + 198?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-644)\/(-1104) + (-4)\/(-6)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b = 48*b + 2*z - 7, z = -3*b - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 9, 5, 1, -3?\n\"Answer: -4*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7577 - -4.6288. Let x = -6.4 + w. Let d = -0.01133 - x. What is d rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 7. Determine c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-1 + 1) - ((24 - 2) + 334 + -357).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12733 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 3\/5 (c) 31 (d) 52\/7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6)*3 + 0. Suppose 0 = -h*n - 4*j + 20, -2*n - 9 - 9 = -5*j. Let y = n + 3. Solve d + y*b - 17 = 0, -4 = -3*d + 2*b + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12163519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -5, 0, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*a**2 + 94*a**2 - 35*a**2 - 2*a**2 + 1 - 1 + (0*a + 3*a - 4*a)*(-1 + a + 1).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 105, 114, 119?\n\"Answer: -2*q**2 + 19*q + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 3795993*i + 15183924.\nAnswer: 3*(i - 1265327)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 10:21 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {g: 7, i: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -393, -158, 77, 312, 547?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 1431?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*y - 4*s, -y + 2*s = 3*s + 12. Let b be 6\/(-15) + y\/(-20). Let p = b + 7. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (101\/(-11) - 11\/((-605)\/10)) + 6. Sort 2, 20, 16, s in decreasing order.\nAnswer: 20, 16, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*v - 20 = 0, -4*v + 14 = u + 2*u. What is the third derivative of -9*o**4 + 5*o**u + 16*o**4 - 6*o**4 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064504 + -627314. Let i(a) = -1353*a**3 + 3*a**2 - 8*a - 2. Let m be i(6). Let q = m + n. What is q rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1635*i - 88300. What is t(-54)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279217.\nAnswer: 31, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 3378 = 9930. Let v = l + -496. What is the highest common divisor of 650 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390.47 times -5\nAnswer: 1952.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7698 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4*(-440432)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17944 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 291.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513 divided by -171.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 232883697.\nAnswer: 1397302182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45532835?\nAnswer: 5, 19, 79, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1053) + -2 + 3*sqrt(1053) + sqrt(1053) + -1 + 1)**2 + 5.\nAnswer: -540*sqrt(13) + 78992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*p**2 + 747*p**3 - 369*p**3 - 375*p**3 to m*p + s + x*p**2 + h*p**3 and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12636, -25297, -37958?\n\"Answer: -12661*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) - sqrt(17))**2*-4 + (sqrt(34)\/sqrt(2)*1)**2.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29629.9 plus 0.0089016?\nAnswer: -29629.8910984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47594*s**2 + 95131*s**2 - 47540*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 8*x**2 - x - 5. Suppose -3*o - 3 = -18. Suppose -3*u - 29 = -o. Let v be w(u). Which is the closest to -1\/4? (a) v (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = 5*z + 21, -14 = b + 4*z. Suppose -55 = -6*l + b*l + 5*p, 0 = -3*l - 5*p + 85. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1338, -2679, -4022, -5367, -6714?\n\"Answer: -q**2 - 1338*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 833*h - 1672*h + 886*h - 10 in the form i*h + o and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 2, q: 12, u: 4}. What is prob of sequence uuuu?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*a**2 + 67*a**2 - 140*a**3 - a + 36*a**3.\nAnswer: -104*a**3 + 166*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -35, -85, -155, -245?\n\"Answer: -10*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/84*98\/(-84)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15902 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1273929 - 451106 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 1 - 1)*(z**2 + 4 - 4) - z**4 + z**4 + z**4 + 2*z**2 - 2*z**2 + 2*z**4 + 27*z**4 + 20*z**4 + 36*z**4.\nAnswer: 87*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47978?\nAnswer: 2, 7, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2829 in descending order.\nAnswer: 4, -1, -2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44209, -177991, -400957, -713107?\nAnswer: -1114441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 + 4*z**2 + 2*z. Calculate y(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c - c - 29*c)*(-3*c**2 + 3*c**2 - 4*c**2) + (-3 + c + 3)*(2*c**2 + 2*c**2 - 2*c**2))*(-c + 0*c - 2*c) - 2*c**4 - 118*c + 118*c.\nAnswer: -404*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 6. Let i be (p\/5)\/(1\/25). Suppose -5 = -3*k + 10. What is the greatest common divisor of i and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/2*r**2 + 0 - 1\/4*r**4 + 0*r**3 + 5*r. What is the first derivative of o(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-36)\/(-189))\/(22\/(-7)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -59790562.106?\nAnswer: -59790588.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 at least 20766\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*n - 12 = 0, 3*n = -2*i + 4*n - 1. Calculate the least common multiple of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-10))\/(12\/45). Let r be (-87)\/145*(-10)\/(-12). Sort h, r, -0.2, 0 in decreasing order.\nAnswer: 0, -0.2, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*-30*(-168)\/3780*30\/(-4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4786, 4827, 4916, 5077, 5334, 5711, 6232?\nAnswer: 6921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 27*l - 10*l + 4*l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4*n - 21 = -5*q, -2*q + 54 = 20*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/(-35) - 2\/7. Let w = -19\/15 + s. Which is the second biggest value? (a) 5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2\/7, 200713, -0.9, 4 in decreasing order.\nAnswer: 200713, 4, 2\/7, -0.9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 145\/(-58)*(-384)\/40. Solve r*w - 20 = -44 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 + -148. Let o be (0 - 2)\/(t*10\/10). Solve -o*a - 2 - 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -146561.82\nAnswer: -14656.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 559679633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfddfldf. Give prob of picking 1 d and 1 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 712*p**2 + 715*p + 2040. What is i(-355)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 7\/3, -2\/5, -7.754?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -4, 2053, 0 in decreasing order.\nAnswer: 2053, 17, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331 + -6?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8363 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.166 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 74, 1\/5, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 236817, 236816, 236815?\n\"Answer: -b + 236818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q - 21 - 1\/2*q**2. Let l(u) = 14*u**2. What is l(i(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448840.\nAnswer: 2, 3, 5, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 502 from -2122749062.59.\nAnswer: -2122749564.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*b + 518 = -3647 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2. Let f(l) = 0*l - l - 9 + 2. Let r be f(-12). Let x(o) = -4*o + r*o + 0*o. Give z(x(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32402 and 575612.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18.6 + 12000.06071848\nAnswer: 11981.46071848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3645) + -1 + -2 + sqrt(3645))*-5)**2 + -2.\nAnswer: -291600*sqrt(5) + 13130098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - -32*(-1)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2 - 2*z + 4 - 4 + z**2. Let a be m(3). Let s(x) = 2*x. Let k be s(1). Is a > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Suppose 3*m - 5*m = 4. Let n = m - -4. Let a(c) = 4*c + 0*c - 4*c - c**n. What is a(d(f))?\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (15\/(-9))\/5*-54 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.03 (b) -2\/15 (c) 2\/291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6023\/4 greater than or equal to 98.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 35105544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2 + 1076*m + 3961. Give h(85).\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1362)\/1135 - (-32)\/10. Sort -3, b, 1 in descending order.\nAnswer: b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-210)*60 + 144\/6 + -5.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91)*1 + sqrt(91)) - (sqrt(91) + -2*sqrt(91))*-6)\/(((sqrt(308) + (sqrt(308)*-2 - sqrt(308)))\/sqrt(11))\/sqrt(4))*3*3.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 5\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i*m*u**2 - 68*i*m*u + i*m - 2*i*u**2 - 3*i*u + 2*i + 1 wrt m.\nAnswer: -6*i*u**2 - 68*i*u + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.584611 milligrams in nanograms?\nAnswer: 1584611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-18)\/(-3))\/((-45)\/(-21) + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30608 - -30614. Solve 92*n - 97*n - 15 = -4*p, -l = 2*n + 4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o + 3*x + 34, x = -4*o - 103. Let m = o - -23. Let p(w) = -w**3 - 3*w**2 - w + 4. What are the prime factors of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x + 0 + 1\/30*x**6 + 5\/2*x**2 + 0*x**5 + 0*x**3 + 0*x**4. Differentiate b(t) with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, 23, 69, 143, 251?\n\"Answer: q**3 + 5*q**2 + 2*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 94462.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*n - 4, n + 6*k = 3*k - 8. What is the common denominator of n\/(-26) + (9 - 10) and 18\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031962083 to five decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 9*j + 73. Calculate c(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*-3*(-1323)\/81\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -839*v**5 - 5*v**4 - 171152*v**2 wrt v?\nAnswer: -50340*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(1408)*-2 + sqrt(22)) - (sqrt(1782)*1 + sqrt(1782)))*-5)\/(-5*(sqrt(32)*-5 - sqrt(2) - sqrt(2) - (sqrt(16)\/sqrt(4))\/sqrt(2))).\nAnswer: 2*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000111 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*w - 420 = 0, -2*d + 3*w = -122 - 51. Suppose 5*p + d = 5*b - 0*p, 0 = -3*b - p + 47. Solve 3*x + 2*x = -5*i - 30, 3*i + 2*x + b = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2))\/l*l\/l**(-2\/3))\/((l*l\/(l*l*l**(-9\/5))*l*l)\/l**(-1)))**(1\/67) assuming l is positive.\nAnswer: l**(-17\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5 + sqrt(11) + -4 - sqrt(22)\/(3*sqrt(2)))**2.\nAnswer: -30*sqrt(11) + 1004\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {i: 7, f: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.8. Let h = 31\/6 - 151\/30. Put b, -4, h in decreasing order.\nAnswer: h, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 10*b**2 + 12*b + 18. Let z be y(-6). Calculate the highest common factor of z and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 4 = -4*j - 3*k, -4*k + 24 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/((84\/(-5))\/6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*r + 155 - 187 = -3*f, 469*f - 5*r - 2 = 231*f + 234*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79187 - 79204.9915. Let k = 37.22 + -55.22. Let n = q - k. Round n to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431917 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3323837068 to the nearest integer?\nAnswer: 57653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, c: 1, k: 1, j: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2508 and 9636.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 6:41 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/6 - (3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1574)\/(-176) - (-81)\/(-648). Is 1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.18 (c) 2 (d) -29 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 68249817 divided by 1117\nAnswer: 61101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2 + 3*m**2 + m - m**2 + 3*m**2 + m**3. Let x = -3 - 1. Determine u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let s = -3.7 + 4. Sort s, -2\/23, v.\nAnswer: -2\/23, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3083*h + 6053. Let c be j(-6). What is c rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083258799 to five decimal places.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 392 = 0. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 375.18 from -149.\nAnswer: -524.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1922 + 1918.194. Let o = k - -0.806. What is the second smallest value in o, -0.11, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 14. Let m(i) = 5*i - 13. Let z(h) = 3*m(h) - 2*s(h). What is the remainder when 10 is divided by z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12455.6111004+-1\nAnswer: 12454.6111004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 180 (b) -5 (c) -6 (d) -2 (e) -2\/63 (f) -2\/5 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bibt when four letters picked without replacement from {b: 6, z: 2, e: 1, t: 5, i: 2}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u**4 - 9*u**3 - 18*u**2 - 9*u - 2. Let m(h) = h**4 + h**3 + 2*h**2 + h - 1. Let w(y) = 18*m(y) + 2*q(y). Differentiate w(c) with respect to c.\nAnswer: 224*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 32*t + 82*t - 2156 = 0 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:18 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w**2 - w + 1. Let s be 0\/((2 - 4)*1). Let d be j(s). Let q = 11030 - 11028. Sort d, q, -3 in descending order.\nAnswer: q, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4)*a*a\/a**(2\/11)*a**(-2)\/a*a*a*a*a*a**(-3))**(2\/15) assuming a is positive.\nAnswer: a**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 2 + 10 + 2*n. Let i be h(-10). What is the units digit of 286\/8 - (-7)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.5935 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2. Let s(z) be the first derivative of -76 + 4\/3*z**3 + z + 0*z**2. Determine -3*k(r) + 4*s(r).\nAnswer: r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-110)*-5*38\/((-6)\/3).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3, -146\/5073, -1\/4, 28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/6 + 3\/2. Let b(n) be the third derivative of -4*n**2 + v*n**3 + 1\/24*n**4 + 0 + 0*n - 1\/60*n**5. Determine k, given that b(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1263195\nAnswer: 5052780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -m - 3*i, -3*m + 5*i - i - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1229, 1180, 1131?\n\"Answer: -49*h + 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318309846.999907 - 318310017. Let z = a - -170. What is z rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k + 11. Let o(g) = 23*g - 17. Let a(y) = -8*m(y) - 5*o(y). Let h(s) = 6*s - 4. Let t(l) = 4*a(l) - 3*h(l). Let r(x) = x. Determine r(t(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 10, y: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186.8 - 6.8. Let j = -308 + 309. Is g bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 11*m + 61. Calculate t(-16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178760704*n**3 + 2*n**2 - 243*n - 7543 wrt n.\nAnswer: -1072564224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1. Let o(g) = -g + 3. Determine -2*o(t) + 5*w(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 6. Let a = l + -15. Let b = 20.99977 + a. What is b rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -32*s - 18. Let c be t(-8). Suppose -6*p - c = 26. Is (0 + 10)*p\/(-10) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/17 (b) -221 (c) -7.1 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1725489)\/97212 + -2 + 3. Let d = k + -2\/8101. Calculate the common denominator of d and -7\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 + 0?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/2 - 1755*i**3\/2 + 384564*i**2 + 385442*i = 0.\nAnswer: -1, 0, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 14) to base 3.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.046 + -0.046. What is the third smallest value in 2, 0.3, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 343*k**5\/10 + 244*k**2 - 33*k. Differentiate m(g) wrt g.\nAnswer: 2058*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*t**2 - 36*t**2 - 6 + 2)*(1 + 24*t - 1 + (0 - 1 + 3)*(5*t - t - 2*t) + 2 - 2 + 2*t) to the form w*t**2 + v + n*t + b*t**3 and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004449 to 7 decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 90614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let q be (-12)\/(1\/(-1)) - 1. Suppose 0 = c - 3 - 1, 3*c - 15 = -y. Solve 2*s - s - q = y*n, 8 = z*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 372 and 372 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 44 = -14*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * 414.\nAnswer: 24012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2)\/(1\/(-2)). Let o = 2 + 1. Suppose 2*c = -o*c - 4*s + 54, -4*c + 39 = -s. Solve a = -3*x - j, 0 = -5*x - j - c - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*v + 30 - 142 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 16*w = 90. Let n be (-11)\/((-165)\/12) - (-131)\/5. What is the highest common divisor of n and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 258 = 5*h - 6, -3*d = 12. Suppose h = -0*c + 4*c. Solve 0*v - 19 = 5*z + 2*v, -3*v + c = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -338256210*m**3 + 14982*m**2 - 269*m - 17 wrt m?\nAnswer: -2029537260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4 - 2*d**3\/3 - d**2 - d - 7. Let h be t(-1). Suppose -h*k + 0*k = 15. Let x(l) = -l**2 - 5*l + 3. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72094.53ml in litres?\nAnswer: 72.09453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 + -312. What is the biggest value in -0.2, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**3 - 2*n**3 + 2*n**3 - n**5 + (-23*n**5 + 49*n**5 + 50*n**5)*(-1 + 1 - 1) - 6*n**5 + 3*n**5 + n**5.\nAnswer: -79*n**5 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -117. Let g = u + 19. Solve g = -5*o - 10, -24 = 3*l + 5*o - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448)*-3 + 4)**2 + (-5*(sqrt(448) + (sqrt(448) - (sqrt(448)*-1 - sqrt(448))))*-3)**2 + -5.\nAnswer: -96*sqrt(7) + 1616831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*g, -3*k + 16*k + 9 = 8*k + 3*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 11016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1250 - 250?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/25 (b) -13 (c) 2\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/8*((-12)\/11)\/((-5096)\/(-4004)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:12 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let q(o) = 21*o + 14. Let p(l) = 7*n(l) - q(l). Let a(w) = 6*w + 3*w + 2 + 0. Let g(b) = -7*a(b) - 2*p(b). Let c(d) = 2*d. What is g(c(s))?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.078, 3, -0.25, 0.38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 43. Suppose -2*w + 19 = g, -t*g + 95 = -3*g - w. What is the highest common divisor of 76 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, n: 2, h: 3, b: 1, w: 6}. What is prob of picking 2 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1660662 (base 10) to base 4.\nAnswer: 12111123312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -2 - (139\/(-6) + 10\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4979782 - 138*o**2 + 4*o - 4979780 - 40*o**2 in the form s*o**2 + u*o + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 2, n: 3, p: 5}. What is prob of sequence pj?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 4*k + 0*k**2 + 0*k**4 + 19\/6*k**3 + 0 - 19\/20*k**5. Find the second derivative of m(g) wrt g.\nAnswer: -114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.24 > 213\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z**2 - z + 2. Let u be d(-2). Suppose u*l = 4*v + 12, -2 = 4*v - l + 1. Solve v*h + h + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 2*j**2 + 7*j + 4. Let m(g) = -g**3 - 3*g**2 - 15*g - 7. Calculate -4*m(h) - 7*y(h).\nAnswer: -3*h**3 - 2*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 401811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 42*f - 2. Determine t(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252) + -5)**2 - sqrt(252))*-2.\nAnswer: -2066 - 228*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.1 - 23. What is the nearest to i in 2, -7, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-75) - (6\/(-27) - (-420)\/189)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -64625 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4. Let b be i(3). Suppose 65 = 4*c + b. Which is greater: c or 12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 156 = -3*h - s, -4*s = -h - 92. Let q = h + 382\/5. Let n be -4*((-225)\/110 + 2). Which is the nearest to 53? (a) q (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15*k = 27*k - 1547. Solve k*h = 81*h + 70 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16128 - 0.161250788. What is l rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnrq when four letters picked without replacement from rrrnrrrrrrnrrrqn?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0 - 1\/2*w**2 - 4*w - 1\/3*w**3. Differentiate i(z) with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 30 = -12. Suppose -s = 2*y - 5*r, 3*y + r = -0*y - 55. Let p = y + 34. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/4 (c) -24 (d) 0.5 (e) -2\/25 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*t + 18, l - 26*t + 24*t - 12 = 0. Solve 1 = s + 4*o + o, l*s + 11 = 3*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -l - 84 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - g - 3, 40*g - 41*g - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:00 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2778*t - 13953. Give o(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144.762 + 0.238. Let q = 145.67 - o. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**6\/6 - 14*k**5\/5 - 40*k**3\/3 + 26. Find the third derivative of v(j) wrt j.\nAnswer: -60*j**2 - 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -5. Which is the second biggest value? (a) 4\/5 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 2*z**2 - 2 + 2*z**3 - 4*z**3 + 3. Let x be 0 - (1113\/(-18) + (-2)\/12). Let l = x - 61. Determine p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 5934*r**2 + 35548*r + 47376.\nAnswer: 2*(r + 2)*(r + 4)*(r + 2961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262759687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 102*r + 10*r**2 - 102*r)*(-r + 0*r + 2*r).\nAnswer: 10*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - 3.98. Let z = g + 0.1. Which is the smallest value? (a) -4\/5 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*v + 1\/3*v**4 - 1\/6*v**2 + 1\/6*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/7 + 213*c\/7 + 1140\/7 = 0. Calculate c.\nAnswer: -5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -3 + (-392 - -384)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58279*i**4 + 47*i**3 - 4*i**2 - 396991031*i.\nAnswer: 699348*i**2 + 282*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1856.528kg?\nAnswer: 1856528000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = -30 + 80. Suppose -c - 2 = -4. Solve -x*z - c*z = 2*p, 5*p + 14 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88590 divided by -1.\nAnswer: 88590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010 - -100?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257.543582 rounded to 0 dps?\nAnswer: 4258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-16 - (-85 - -45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 11*i**2 - 44*i + 226. What is p(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 3*f, -5*g + 7*g = 5*f + 8. What is the tens digit of 795\/12 - g*2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 2. Let z(a) = -9*a + 1. What is 3*s(f) - 2*z(f)?\nAnswer: -9*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 45 + 90. Let i be q\/(-2) - (-15)\/(-10). What is the third derivative of i*w**2 - 8*w**2 - 19*w**2 - 6*w**2 + 31*w**3 wrt w?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*h - 50 = 0, 4*h + 25 = -1311*t + 1310*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-16 - -22) + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6254 + -3.63859. What is y rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 7 - 52 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, 1 y, and 1 l when four letters picked without replacement from blrjykkry?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (260\/(-35))\/(9\/(-63)) - -5. Solve -3*v - q + 66 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/6 (c) -4 (d) 7\/298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29589738 and 39452984.\nAnswer: 118358952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*n = -37, -5*i + 4*n + 100 = -i. What is the third derivative of -3 + i*s**3 + 6*s**2 - 5 - 9*s**2 wrt s?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748844 = -66*u - 358950. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-12))\/9*10*(-1296)\/1485?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33124 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -423*f - 1268. Let u be t(-3). Let k(s) = -1. Let l(i) = 4*i**2 + 2. Give u*l(d) + 5*k(d).\nAnswer: 4*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 5*a, 0 = -4*s - a + 3*a - 2. Let w(d) = -3*d**3 + 5*d**3 - 9 - d**3 + 20 + d. Calculate the remainder when w(s) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2)\/sqrt(2)*-5*4)\/(-3*sqrt(486) - sqrt(42)\/(-2*sqrt(7))).\nAnswer: 80*sqrt(7)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -2*u, 2*g + 25 = 3*u + 6*g. What is the smallest value in -24\/13, u, -2\/3, 1?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010916 rounded to four dps?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*w + 68817923 - 289477923 = 0. Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105666144 and 8664?\nAnswer: 105666144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + 748\/77 + 44\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.472735391 and 26.\nAnswer: 25.527264609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 576258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000724 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/3 - 13*u**2. Suppose 20 = l + 4*l. Let v(y) = y - 3. Let f be v(l). Calculate z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-2)\/6 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*t = 1231, -2*w = 4*t - 5*t - 615. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Let u = 24045 + -24048. Put 0, l, u in ascending order.\nAnswer: u, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 827461 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 22 = -0*o. Let d(y) = 13*y - 1. Suppose -3*i = -0*i - 3. Calculate the remainder when o is divided by d(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*u - 19*u + 0 - 20*u**2 + 4*u**3 + 2 - 2.\nAnswer: 4*u*(u - 7)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-6) - 16592\/416.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -483 + 11343. Is 10859 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177741 or 177742?\nAnswer: 177742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13549 - -121937\/9. Let a be ((-21)\/(-30))\/(36\/10). Let p = a + q. What is the second biggest value in -0.5, -3, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 17}. What is prob of picking 3 c?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873805 is divided by 285.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 58\/(-3))\/(-1*(-12)\/18). Solve -4*f - z = 4*k + f, 0 = 4*k - 6*f + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3229632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*a = -260, 3*g + 356 = -2*g - 4*a. Let b be ((-4)\/6)\/(7\/(g - -5)). Let q(d) = d**2 - 7*d + 4. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 39*x**2 - 141*x + 55. What is t(35)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.085 - 1.915. Sort 0, 0.2, y, -0.3 in decreasing order.\nAnswer: 0.2, 0, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) -10\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*j = -176. Calculate the smallest common multiple of j and 10\/(-4)*12\/(-10).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let m(t) be the third derivative of 0 + 0*t - 1\/12*t**4 + 117*t**2 - 67\/3*t**3. Calculate m(o(x)).\nAnswer: -2*x**2 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3)*4 - (sqrt(300) + 3))**2*-4.\nAnswer: -5844 - 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 - 33*d - 37. Let s be x(12). Are -1\/329 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11167.532756 rounded to the nearest 10?\nAnswer: 11170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.3 - -90.6. Let n = -36 + p. Let j = -0.2 - -0.3. Is j bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.793661 * 1.4\nAnswer: -1.1111254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 271766541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1785104 and -1785121 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 4*q**5\/15 + q**4\/12 + 2*q**3\/3 - q**2 - 8*q + 27. Let t(d) = -d - 1. What is n(o) + 2*t(o)?\nAnswer: 16*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43981 at least 43982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*y = -7*w + 35, -2*y + 38 = -w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1455 - -1460. Which is the fourth biggest value? (a) 1\/4 (b) 16 (c) -1.6 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + (-162 - -82) - (2 - (-17 + 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*7)\/((-2)\/(-10)). Let d be 7 - (-5)\/10*-4. Calculate the greatest common divisor of d and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(-16 - -17 - (-106)\/(-120)) and -22\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 3)*(n**3 - n + n) + (-n**2 - 4*n**2 + n**2)*(0*n - n - 2*n) + n**3 + n**3 - 3*n**3 to p + s*n**3 + x*n**2 + d*n and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 1, 0 = 4*h - 5*j - 31. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 14797*p**2 + 207115*p\/2 - 88761.\nAnswer: (p - 29587)*(p - 6)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/14)\/((-50856)\/(-728) + -70)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*n + 468 = 373*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttootrrtortrtttt. Give prob of sequence oror.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54648?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14956*q**2 + 7473*q**2 + 7478*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Let k(n) = -4*n + 4. Let i(l) = 2*k(l) + 7*y(l). Let m(q) = -12*q + 46. Let c(t) = 6*i(t) - m(t). List the prime factors of c(13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1437*l - 578 + 578 + 937*l.\nAnswer: 2374*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**5 + a**3 - a**2 + a. Let t(s) = 6*s**5 + 15*s**4 + 35*s**3 - 195*s**2 + 230*s - 81. Let u(r) = -10*o(r) + 2*t(r). Factor u(y).\nAnswer: 2*(y - 1)**3*(y + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -318, -306, -286, -258, -222?\n\"Answer: 4*i**2 - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7*d - 8*d + 132, -3*d = 9. Let r(i) = -3*i. Let k(g) = 65*g. Give f*r(h) + 2*k(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2637 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 2660 = -3518 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.076 + 2.48. Let u = 0.4 - x. What is u rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*x + 398, -3*y + 94 = -2*y - 3*x. Suppose -y*i + 33 = -79*i. Calculate the remainder when 20 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, 3, 5, -4.\nAnswer: -4, 3, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 14*b**2 + 4*b + 16. Let s(a) = -a**2 + a. Let o(t) = 3*s(t) - x(t). Let i be o(-11). Put 5, 2, i in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 4, s: 3, n: 3, c: 4, f: 5}. Give prob of picking 2 v and 2 n.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56193 at least -4506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -53*r + 5. What is the units digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*p + 26 = 0, -5*j + 0*p - 3*p + 107 = 0. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/4))**(1\/64))**(-15\/2))**7 assuming k is positive.\nAnswer: k**(-105\/512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/7 >= 750440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -62.08. Let j = 62.029 + f. Let h = j - 2.029. What is the nearest to 0 in 0, h, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1877936 divided by 3.\nAnswer: -1877936\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from vsvpsdvpvdsdppppndop.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 4*m**2 - m**2)*(3 - 5 + 1) + (m + 2*m + m)*(2*m - m + 0*m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -4\/49, -2805, -0.4 in ascending order.\nAnswer: -2805, -4, -3, -0.4, -4\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 521*l**4 - 1169.\nAnswer: 2084*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let z = -0.04713 + 3.04713. Sort -2, g, z in descending order.\nAnswer: z, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 - -261.97. Round s to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*o - 2*o, o + 17 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 5 + -7 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**2*x**3 + 444550*m**2 - 3*m*x**2 + 5*m - 59554*x**3 wrt m.\nAnswer: -12*x**3 + 889100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17850 - 17687. Solve 4*y = 2*g - 22, 2*y = -4*g + k - 149 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 49. Let m be (-2)\/4 + (-3129)\/298. What is j(m)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let x(h) = h + 1. Let d(v) = 2*v + 2. Suppose -5*g - 5*b - 5 = 0, -2*g - 4 = -b - 2. Let y be (0 + 1\/g)\/(-1). Calculate k*d(c) + y*x(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11779999 and 114092?\nAnswer: 47119996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 4:38 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 2*d, -3*s - 1 + 39 = 5*d. Solve -i - d = o, 0 = 4*i - 9*i - 3*o - 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -58. Let k = m + -47. Suppose -4*u + k = 3*w - 2*w, 5*w - 2*u = 94. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182723530 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (740\/(-25) + 30)\/((-132)\/(-90) + 84\/(-60))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 2, h: 1, p: 2, c: 1, s: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/7 + 132*v**3\/7 + 720*v**2\/7 + 1392*v\/7 + 912\/7.\nAnswer: 3*(v + 2)**3*(v + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54380 is divided by 640.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28527 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q**19\/q*q)))*q)\/(q*q*(q**(-2\/71)*q)\/q) assuming q is positive.\nAnswer: q**(-1347\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + x - 3*x - 2*x + 3*x + (-1 - 4 + 4)*(0*x + x + x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -82. Let s be -3*6\/9*n. Let v = 220\/3 - s. Is 0 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:21 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - -2*(1 + sqrt(891)) - sqrt(891) - ((sqrt(891) + 1)*-2 + sqrt(891))**2) + (sqrt(1100) + -2 + -2 + (sqrt(1100) - 6*-2*sqrt(1100)))**2.\nAnswer: -1138*sqrt(11) + 214723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1616673 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 61*c - 183 = -411 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77985 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 23. Let j be 15\/9 - (-14)\/(-49)*7. Let i = 82\/7 + -260\/21. Put z, i, j in descending order.\nAnswer: z, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 763 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -406734 plus -384.26?\nAnswer: -407118.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*k**5 - 116*d**2*k**2 - 3*d**2 + d*k**2 + 2193*k**3 wrt k?\nAnswer: 60*d**2*k**2 + 13158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 135. Suppose 4*x - g = 289. Let s = x - 54. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392213000 rounded to the nearest one million?\nAnswer: -392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 44 = 4*s - 4*t, t - 23 = -s. Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(304)*-2 + sqrt(304) + sqrt(304) - sqrt(304))*6.\nAnswer: -600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/87716191 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17. Suppose 2*h + 8 = -q*h. Put 4, h, -2 in ascending order.\nAnswer: h, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 1904350?\nAnswer: -1904343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1596 = -20*s + 14*s. Let i = 266 + s. Which is the third smallest value? (a) 0.9 (b) -1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-4)\/((-4)\/3). Suppose k = c - 2*c. Suppose 3*m + c*m - 273 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 11*o. Let u be (-4)\/18 + 1 + -2 + 1. Let v = 155 + -156. Which is the nearest to o? (a) 0.05 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24893840 divided by 3\nAnswer: 24893840\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3, -576, 0, 5.\nAnswer: -576, -42, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 184595.439 hours?\nAnswer: 1098.782375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209419 = 1118*b - 1125*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 41.2. Let l = -9 + 3. Let u be -8 + (-3)\/(-3*(-4)\/(-12)). What is the third smallest value in r, u, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -h - a + 17, -a + 5 = 4*h. Let n be 24\/15*5\/h. Suppose -n*g + g - 49 = -5*u, 0 = 5*u + 5*g - 25. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - (-1 - (3 + 0)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -1 + n**2 - 4*n - 1\/4*n**4 + 11\/3*n**3. What is the smallest common multiple of 16 and q(11)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.5 + 8.625904686.\nAnswer: -11.874095314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - (-4 + 6)) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*c + 20*c + 2*c**5 - 8*c**5 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**5 - 4*h**2 + 4*h**2)*(-15 + 48 - 16).\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*c - 11 = 2*c, 5*c = 2*u - 23. Suppose 2*h - 2 - u = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 12*j - 70. Let z be a(8). Is z equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - n + n)*(-3 - 1 + 1)*(-51*n + 189*n + 138*n) in the form f*n**2 + w + t*n and give f.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 4*m**2 + m**2 + m + 13 + 62 + 5*m**2.\nAnswer: 2*m**2 + m + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + 0 + 4)\/(-5)*5. Suppose -2*r + 106 + 258 = 0. Suppose y*l - 178 - r = 0. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 846, -10, 4, 0.\nAnswer: -10, -5, 0, 4, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let a(r) = -480*r + 2. What is a(d(f))?\nAnswer: -960*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -58, -123, -214, -331, -474?\n\"Answer: -13*b**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2840146?\nAnswer: -2840143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 2*k + 23 - 2*k**3 + k**2 - 40 + 15 to the form w*k**3 + l*k**2 + p + y*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 6\/5 (c) -2.9 (d) -0.3 (e) -28 (f) 3\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 2, n: 4}. Give prob of sequence an.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23572?\nAnswer: 2, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 15, 27, 41, 57, 75, 95?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*2*(-1 + -1). Let d(b) = -b - 7*b**t + 4 + 8*b**2 - 2 + 2*b**3 - 1. Suppose 3*n + 8 = 2. Give d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(560) - sqrt(35))\/sqrt(7))**2 - (sqrt(5) - sqrt(720)*2)*-2.\nAnswer: -46*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*b - r + 2*r, 5*b + 2*r = 34. Solve -3*p + 4*m + m + b = 0, 0 = 4*m + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 46*a = -630 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -33. Suppose -v*q - 67 = -3*o, -2*o - 36 = q + 3*q. Are -11 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -48\/11, 0, -871, 2\/39, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and (-214)\/6*21\/266.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -24.7?\nAnswer: -24.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -21. Let b = -3 + 2. Put 5, u, b in descending order.\nAnswer: 5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(2))**2 + -4).\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177339301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(1173\/(-68))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370.8 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14855*u + 14855*u + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 130.3. Let y = 11.3157 + f. What is y rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 1. Let r(l) = -3*l**3 + l**2 - l + 3. Let h = -38 - -30. Suppose 4 = x + 1. Let k(y) = h*o(y) + x*r(y). Suppose k(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let q(l) = -48*l - 28. Let z be q(-5). Let k = z + -211. Solve 5*p + k = 3*u, u - 5*p + w*p = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 24. What is the tens digit of ((-75)\/p)\/((-3)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**3 + 31*z**3 + 19*z**3 - 63*z**3 + 30*z.\nAnswer: 7*z**3 + 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*d - 23*d + 19*d + 4*d + 0*d - 3*d + 0 + 0 + 2*d - 3*d + d + 0*d + (5 - 1 - 3)*(-d + 4*d - d) - 1 + d + 1 + 0*d + 4*d - 2*d + 2*d - 2*d - 2*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 17 - 10*a**4 + a + 5*a**4 + 18 - 23 to the form j*a**2 + u*a**4 + s*a**3 + q + l*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and -39\/506.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 923 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -665\nAnswer: 17955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/(-76) + (-2)\/(-8). Suppose -p + 3*p - 102 = a. Calculate the remainder when p is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 + 6*y**2 - 7*y + 3. Suppose -b + 4*b = 3*k - 6, -2*k = 5*b + 3. Let d(q) = q**3 + q**2 - q. Give b*l(a) + 6*d(a).\nAnswer: a**3 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 10*s - 11. Let b be y(9). Let c = 5 - 9. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - (-1 - (1 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:20 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109540 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181933030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15278 - 244537\/16. Calculate the common denominator of u and (1\/(-2))\/(10\/142).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1205 + 1882. Let x = 683 - p. Solve 2*j = -3*j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26061*a + 7*f = 26058*a - 8, 5*f + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 21. Let u be n(10). What are the prime factors of 888\/44 - (-2)\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 190?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 877605 + -184.\nAnswer: 877421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 9*z**2 - 13*z - 8. Let k be l(11). Let s = 1 + k. Is 43 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Let r be a\/12 - 15\/12. Let o be 5 - (-15)\/((-6)\/2). Put 2, r, o in descending order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -0*x + 5*x. Let c = x + 24. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14305?\nAnswer: 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13623 (base 10) in base 16?\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*a - 40 + 36*a + 35*a)*(-4 - 21 - 7).\nAnswer: 96*a + 1280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15755)\/(-20) - (-105)\/84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570067, -569969, -569705, -569191, -568343, -567077, -565309?\nAnswer: -562955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 2*m - 9. Give q(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q - 859. List the prime factors of g(30).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30934239*f**5 + 26867*f - 20 wrt f?\nAnswer: 618684780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -15 - (2 - (-4 + 10 + -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-1))\/(-4 + 275\/70) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**5 + 2*y**5 + 2*y**5)*(1 + 0 - 2) - 93*y**5 - 93*y**5 + 254*y + 185*y**5.\nAnswer: -3*y**5 + 254*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2303 + -11?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/10 - 11*y**4\/12 + 25*y**3\/6 + 5*y**2 + y + 20. List the prime factors of w(8).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132154\/37 at most -3572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*l - 14 = 0, -g + 2771*l - 2776*l + 2 = 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s. Suppose -j = 3*k - 6, -j = -4*k - s*j + 8. Suppose x = -k*x + 30. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 + 488*u**4 - 2512*u**3 + 3544*u**2 - 1524*u = 0.\nAnswer: -127, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Suppose -v*j - 3*r + 3 = 0, -3*r + 3 = 6*j - 2*j. Let q be (1 - j)*0\/16. Solve q*x + 2*o + 12 = x, x - 3*o - 17 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50599*v**3 - 39*v + 25303*v**3 + 25298*v**3 + 39*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.56, 4, -0.09?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12259 divided by -1665?\nAnswer: -12259\/1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 1, c: 2, v: 2, s: 6}. What is prob of sequence svs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/19))**(1\/35)*(p\/(p*p\/p**9))**(-29) assuming p is positive.\nAnswer: p**(-154263\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -25. Suppose -10*u = -p*u - 808. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37904922.\nAnswer: 2, 3, 11, 89, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 214*c**2 + 14*c - 28. Let v be y(2). Let s = v - 535. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 947*u + 603251. What is a(-637)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*s**3 + 3*s**2 - 11*s**4 + 115*s**3 + (3 - s - 3)*(s**3 + 0*s**3 + 0*s**3)*(0 + 1 + 4) to the form j*s**2 + x + v*s**3 + y*s + u*s**4 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*f = -15, -4*r - 4*f + 50 = 10. Let o = 16.909 - -0.391. Let g = -17.15 + o. Which is the nearest to 0.2? (a) 0.2 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 v, and 1 y when four letters picked without replacement from {v: 2, y: 3, g: 1, q: 1, o: 2, w: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 1, y: 2, i: 1, s: 2, a: 1}. What is prob of sequence ssae?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.5083 and -1.075.\nAnswer: 2.4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 - 970*z**2 + 541*z**2 + 493*z**2. Let v(b) = 4*b**2. Give f(v(d)).\nAnswer: 1024*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*-2 - sqrt(88) - (sqrt(88) + 6*(sqrt(88) + sqrt(88)*-2) + sqrt(88)))\/(sqrt(8) + (sqrt(8) - -2*sqrt(288)) + sqrt(8) + sqrt(288)*2).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r + 147. What is the smallest common multiple of 2 and i(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394038?\nAnswer: 2, 697019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*9\/(-3) - -2. Suppose 2*o + 4*a = l, -4*o - 2*a + 37 + 33 = 0. Suppose o = -4*c + 75. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*g = 0. Suppose -30 = -2*q - 3*b, -2*q + 5*b = -8 - 22. Solve -5*l + q + 10 = g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1413 - -155. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (88 - (13 - -11 - 39))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose -3*d - 4*b + 6 = -d, 0 = -5*d + 3*b + 41. Solve m = -3, -a*n + 5*m + d = -0*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-3 - 40\/5). Let l be (36\/m)\/(8\/(-20)). Calculate the greatest common divisor of l and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3980935 is divided by 625.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {h: 2, d: 1, p: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 + 5*k + 2. Let p(c) = c**2 + c + 1. Let f(g) = -o(g) + 2*p(g). Let w(j) = 2*j**2 - j. Let q(r) = 6*f(r) - 22*w(r). Factor q(t).\nAnswer: -2*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-4 + 30\/7). Which is bigger: 2\/17 or v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i - 2. Let a be d(-6). Suppose a*f + 4 = 2*f. What is the units digit of f*(-6)\/4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 6*a**2 - 5*a - 2. Let u(c) = c**3 - 4*c**2 - 12*c - 4. Let n be u(6). Give t(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/3 - 5*l**3\/3 - 308*l + 2. Let p(i) = 56*i. Calculate x(p(u)).\nAnswer: 12544*u**2 - 560*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) + (-40)\/(-22). Suppose 3*p - 2 = j*p. Let w = 0 + p. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*c + 18*c + 64*c - 4*c to the form z*c + l and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1298?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -585198 divided by 13\nAnswer: -585198\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, 0.13, 2\/7, -19143, 0.5, -5, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 10*r - 7 - 5*r + 19*r. Give m(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/3360 - b**3\/3 - b. Let l(g) be the second derivative of r(g). Factor l(u).\nAnswer: -u**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -5 - (0 + -230) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-5)**2 + 0 + (2 + 5*sqrt(325) + sqrt(325))**2.\nAnswer: 120*sqrt(13) + 14629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138 in -15.3, -1, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 19*w - 86251 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwg when three letters picked without replacement from wukuquuwuwhkuqg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-5)\/(-10) + (4 - 7)). What is the closest to 1 in s, 0.087, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -104, -5, 2, 0, -25 in decreasing order.\nAnswer: 2, 0, -3, -5, -25, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -99. Suppose 0 = 3*g + f*a - 8, 2*g = 3*g - 2*a + 4. Solve g = p - 0 + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161*0.1.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421394 is divided by 3796.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {y: 2, g: 9, k: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115753 or 115755?\nAnswer: 115755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 63013388 * -3\nAnswer: -189040164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((32\/64)\/((-6)\/(36\/111))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 91*g**4 - 16*g**2 + 659*g - 3*g**3 - 660*g - 95*g**4 to the form i*g**4 + t*g**2 + p*g + k + o*g**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, b: 1, s: 1, a: 2}. What is prob of sequence bnl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*r + 5, 0*r - 3*w - 1 = -2*r. Suppose 0*s = r*s - 2. What is the lowest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.1 + -62. What is the smallest value in -0.07, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-12 - (-19 + -10 - -12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:15 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/15)*f*f)\/f)\/f*f*f**(2\/3)*(f**32\/f)**(-35) assuming f is positive.\nAnswer: f**(-5417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*l = 60, 7 + 14 = 2*h + l. Let s be ((-6)\/4)\/(h\/(-60)). Let w be s\/(-6)*6\/15. Sort -3, w, 4 in increasing order.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*h + 0*w = 187*h - 5*w + 2*w, -2*w - 2 = -4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 9) in base 4?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -1413644?\nAnswer: -1413631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/((-14)\/(-112)*4\/3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 608\/(-7) + (-30667 - -30755)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxllllxxx. Give prob of sequence lllk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 129a9 (base 15) to base 12\nAnswer: 2a573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-14))\/((-1)\/(-2)). Let w = 90519 + -4616786\/51. Let h = 117\/17 + w. Sort h, 3\/5, r in decreasing order.\nAnswer: h, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2\/7 - 147010308*k\/7 - 900501277427286\/7.\nAnswer: -6*(k + 12250859)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -43671?\nAnswer: 43706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109239 is divided by 401?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)\/m)**27)**(-13))**(1\/17) assuming m is positive.\nAnswer: m**(1755\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-5)\/(80\/(-48)))*3\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14533, 13171, 10901, 7723, 3637?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-2)\/3)\/((-4)\/15))\/(30\/8). Let g = 2 + -4. Let h = g - -2. What is the nearest to h in -1, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63777 (base 15) in base 12?\nAnswer: -13274a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1875 + 2018. What is the remainder when f is divided by 126?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -156*x + 313. Give m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*c = 14, -4*n - c + 5*c = 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14475 - 14355. What is the smallest common multiple of 177 and c?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -58, 18916 in descending order.\nAnswer: 18916, 2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:09 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {q: 1, m: 4, e: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348*t - 188*t**3 - 32*t**4 + 82*t**3 + 159*t**2 + 335*t wrt t?\nAnswer: -768*t - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 7 - 112*(-4 - -3). Suppose h + 4*f - o = f, f + 586 = 5*h. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + 0 + -1 + sqrt(200) + 5)**2.\nAnswer: 120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6 + 2. Suppose -n + 2*p - 2 = -6*n, -2*p - x = 2*n. Is 3\/n*3*862 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 9\/1882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 17. Let r = i + 29. What is the remainder when 49 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -6\/7 (c) -48.9 (d) -0.1 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c**5 + 20*c**4 - 32*c**3 + 12*c**2 + 6*c - 8. Let r(w) = -w**5 - w**3 + w - 1. Let f(z) = -h(z) + 8*r(z). Factor f(v).\nAnswer: 2*v*(v - 1)**3*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by (2028\/130)\/((-3)\/(-10)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + d = -0*d, d = -n - 2. Are -1\/6 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -13. Calculate the smallest common multiple of y and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3920 and 1330.\nAnswer: 74480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2}. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 36. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 12*w**2 + 12*w - 7. Let x be k(11). Suppose -x*q + 16 = -4. Let m = 13 - 14. Sort q, -3, m in decreasing order.\nAnswer: q, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0.55, -69, 1 in increasing order.\nAnswer: -103, -69, 0.55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 134*a + 144 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 30*q**2 - 222*q + 22. Let j be b(17). Solve j*v - 25 = g, -22*v - 4*g = -27*v + 40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536853\/7 - 76554. Let q = -139 + i. Let s(v) = 2*v - 3. Let y be s(0). Sort q, y, -0.5 in descending order.\nAnswer: q, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + c - 7. Let h(l) = -l**2 - l. Calculate h(u) + k(u).\nAnswer: u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132346, 132358, 132368, 132376, 132382, 132386?\nAnswer: 132388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3 (b) 461 (c) -2\/17 (d) 6 (e) -0.4 (f) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-4)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -4*j + 4*i, -8*j - 517*i + 514*i = -3*j + 178 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 339. Let s be m(0). Let w = s + 975. Suppose 8*c - w + 92 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(-20*(-9)\/7560).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13942.013998 - -13942. Round t to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6361, 22804, 50229, 88636, 138025, 198396, 269749?\n\"Answer: 5491*a**2 - 30*a + 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111170 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 1. Let k(l) = 15*l**2 + 8*l + 6. Give -6*j(g) + k(g).\nAnswer: 15*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91266.846 rounded to the nearest 10?\nAnswer: 91270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 5, l: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 19. What is v(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**5 + 28*m**4 - 48*m**3 + 40*m**2 - 12*m - 4. Let x(v) = -v**4 + v**3 - v + 1. Let l(h) = -8*x(h) - z(h). Solve l(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (4 - 9)) + (-5 - 0) - (-151 - -154).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + -2 + -4 + (1 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 55. Let r be p(-11). Suppose i = -r*i + 74. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2570257l?\nAnswer: 257.0257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*d + 38*d + 66*d)*(0*d + 0*d - 2*d)*(-8*d - 3*d - 7*d).\nAnswer: 828*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 100921.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -11*k + 6*k. Suppose -a + k = -20. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 19*z + 27*z + 56*z**2 + 0*z - 8*z.\nAnswer: 56*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7476644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, x: 4, w: 1, s: 2}. Give prob of picking 1 x and 1 e.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (7 - -5 - (5 + -14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136105 = 27*i + 39688. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-one quarters of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39.94*-0.1\nAnswer: -3.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 8*g - 9*g. Is 18 a factor of (18\/(-15))\/((-1)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 56801 - 47714. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/3 + g + 6. Calculate l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t + 5*i + 6, 5*t = 3*i - 5. Let m be t\/8 - (-266)\/4. Suppose 7*b - m - 263 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l**2 - l - 7. Let v be s(3). Suppose -4*k + v = -3. Let h = k - 31. Which is greater: 3\/23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378677 is divided by 3157.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -56, -409, -5, -2, 3 in decreasing order.\nAnswer: 3, -2, -5, -20, -56, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**7\/315 - n**6\/60 + n**5\/30 - n**4\/36 + 3*n**2 + 2*n. Let o(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -2 (c) -3 (d) -20 (e) 3\/4 (f) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 4*l + 8. Let a be q(5). Let c be (-13)\/a + (-2)\/24*-122. Differentiate 2 + 11*m**4 + c*m**4 - 8*m**4 with respect to m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -13*a + 3*a + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1437, -5804, -13103, -23334, -36497?\n\"Answer: -1466*q**2 + 31*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81888 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 53*c**2 - 5*c. Let p(z) = 27*z**2 - 3*z. Let l(m) = 3*k(m) - 5*p(m). Let a(f) = -2*f**2. Calculate a(l(d)).\nAnswer: -1152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -168577 divided by 282\nAnswer: -168577\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3238 - 3257.71. Let r = -18.2 - l. Round r to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 + 18 = 5*u, -5*h + 3 = -3*u. Let m be -3 + -4 + 0 + h. Let l = -0.2 + -0.3. Which is the closest to -1? (a) l (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*i + 3)*(i**3 - 2*i**2 + 2*i - 2*i) - 29*i**2 + 7*i**4 + 29*i**2.\nAnswer: 5*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(931)*-1 - sqrt(931))*-1 + -1 + -1*sqrt(931)))**2 + 1.\nAnswer: -224*sqrt(19) + 14913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 39*w + 238. Determine y(-35).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/550)\/((-4)\/10))\/((-3276)\/(-126))?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12673105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -16. Let m = k - -7.1. Which is the nearest to 1? (a) 1\/2 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*j = 6, -2*h - 2*j = -3*h - 1. Suppose -q + h*r = -17, -2*q = 3*q - 4*r - 30. Let l be 4 + (q - (-30)\/(-5)). Solve l = -3*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 1)*(3 + -2). What is the remainder when (-1 - -2)\/(a\/21) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/135 or 0?\nAnswer: 11\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((15\/(-3))\/(-645)). Let k = -129 + p. Are -1\/31 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:29 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 20*q**2 + 19*q - 27. Let s be o(-21). Which is smaller: 14 or s?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 55*t + 2. Let l(n) = -n**2 + 46*n - 1. Let v(p) = 6*k(p) + 7*l(p). Let h = 11 - 8. Let q = -6 - h. Give v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e500 (base 16) in base 11?\nAnswer: -11a581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/10*24\/(-21). Suppose x*m = -p, p = -4*m - p. Solve m*k - k - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -19\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 19846*y**2 + 34*y + 34. Let t be -4 - (-5 - (-12 + 5 - -5)). Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1963\/176 + -166\/11. What is the common denominator of u and 853\/72 + 4\/(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 743916399 to the nearest integer?\nAnswer: 27275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r**5\/6 - 1351*r**4 - 24079*r**3\/2 - 12764*r**2\/3 + 5506*r - 936 = 0 for r.\nAnswer: -156, -9, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 60. Suppose 2*j = 4*u - 4, 5*j - 6 - m = -u. Let l(o) = 0*o + 5 - u - 2*o. Give l(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 3, b: 2, h: 3, r: 10}. What is prob of picking 2 b and 1 r?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3432937.\nAnswer: 127, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/35, -5, -4, -7?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*w - 0*w + 92, 3*v = 3*w + 60. Are -13 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1158\nAnswer: 5\/1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-22)*(15963 + -16051)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = b - 3, -b + g - 13 = -2*g. What is the units digit of 1 - b - (-6 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192236 divided by -11.\nAnswer: 17476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 328945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/(-10) - 2)\/(2\/(-32)). Let m be -3 + 3 - (-40)\/(-6). Is m < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x - 62. Let k(n) = -7*n + 65. Calculate -3*k(i) - 2*y(i).\nAnswer: i - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 - 982*w**2\/5 + 989*w\/5 + 5898\/5.\nAnswer: -(w - 3)*(w + 2)*(w + 983)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.4 - 8.3999964. What is f rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3169, 768 in descending order.\nAnswer: 3169, 768, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/9)*v*(v\/(v*v\/((v*v**10\/v)\/v)))\/v assuming v is positive.\nAnswer: v**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1258052.9994 + -1257809. Let j = a - 244. Round j to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1729 + 11 = -116*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/3 - 1664*m**2\/3 - 20884*m\/3 + 145520\/3.\nAnswer: 4*(m - 428)*(m - 5)*(m + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2325 - 2315. What is the highest common divisor of s and 4010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-8)\/168*(-30)\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 5, 2\/17 in increasing order.\nAnswer: -2.2, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q. Let z(j) = j**3 - 6*j**2 - 8*j + 3. Let o be z(7). Let p = 23 - o. Let s(b) = p*b - 28*b + 1 - 1. Give w(s(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 106. Calculate r(3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.41 + 5.81. Sort w, 0.2, 0.5, -0.4 in decreasing order.\nAnswer: 0.5, 0.2, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349 - 10*p**2 - 9*p**2 - 105 - 12*p + 21*p**2 wrt p.\nAnswer: 4*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 17. Let u(w) = -4*w**2. Give u(x(h)).\nAnswer: -16*h**2 + 272*h - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -10*g - 56. Factor -4\/7 + 0*f**2 + 6\/7*f - 2\/7*f**g.\nAnswer: -2*(f - 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p**2 - 10285. Let i be r(0). Let m be 2\/(-9) + i\/(-153). Suppose -7*v + 172 = m. Solve -35 = 5*u - v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*i + i. Let d = 40 + i. Calculate the greatest common factor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 - 12810*m**2 + 9813600*m - 1946747520 = 0. What is m?\nAnswer: 306, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 12, 5*h - 4*o = 17 + 19. Let q = -0.1 - -0.1. Let w = -0.1 + q. What is the nearest to w in h, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**13*d))**(-8\/3)\/(d**(10\/3)\/(d*d*d**(-1))) assuming d is positive.\nAnswer: d**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 175 = -26*j. Let a(l) = -3*l**2 - 4*l - 3*l**2 + l**3 + 0 - 3. What is the tens digit of a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:51 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64.5? (a) -1\/5 (b) 4 (c) 3\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsy when three letters picked without replacement from mmsysymsyysyssh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.324788l to millilitres.\nAnswer: 324.788","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 5068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 31 = -43. Let z(u) = -11*u + 17. Let a(n) = -4*n + 6. Let x(l) = r*z(l) - 17*a(l). Let f(s) = -2*s**2. Determine x(f(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2162*n**2 + 0 - 3 - 5286*n - 2 + 7196*n**2 + 4 wrt n.\nAnswer: 10068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -356796*w**2 - 726 + 4479 + 358289*w**2 wrt w?\nAnswer: 2986*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhthhthhhkhrthkhhrr. Give prob of picking 2 h and 2 k.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 - 30*n**2 + 94*n - 11. Let p(z) = z**3 + 6*z**2 - 19*z + 2. Let m(s) = -11*p(s) - 2*t(s). Is 24 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 2580*j**2 - 46197*j - 207522.\nAnswer: -(j + 9)**2*(j + 2562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 6696\/(-720)) + -51\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**3 + 2*j**2 + 8*j + 7. Let v be s(-1). Let h be ((-51)\/(-9))\/(2\/(-36)). What is the smallest common multiple of (4 - h\/12)*8\/v and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 3*l + 2*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1969090 and 1643510.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1695 in 5, -2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*y = 99*y + 846 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 2*f + 14, -2*j + 16 = -4*f. Let l be 0\/(-1 + -4 + 4). Suppose l = -0*t + 4*t - 108. What is the remainder when t is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 54?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -306, -359, -450, -591, -794, -1071, -1434?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 879036 and 834.\nAnswer: 879036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(-1)))**29)**(-2\/23)\/((s\/s**(2\/5))**(-32))**(-39) assuming s is positive.\nAnswer: s**(-86692\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + (13\/20)\/1. What is the second biggest value in 14, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 66, 104, 146, 192, 242, 296?\n\"Answer: 2*j**2 + 28*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -0.1. Let x = 172\/5 + -1558\/45. Let l = -0.1 + 0. What is the smallest value in x, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d - 134 = 209 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/16)\/((-15)\/(-11420)) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71158911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1423\/49805)\/(196\/(-105)*(-1)\/(-4))?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 2459*w = 2460*w - 47, 0 = 2*s + 3*s + 2*w - 146 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**2. Let t(c) = -c - 506. Calculate j(t(m)).\nAnswer: -10*m**2 - 10120*m - 2560360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(-23)\/(-828)*12\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 833 and 13326?\nAnswer: 11100558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 22672, -1\/45, 1 in decreasing order.\nAnswer: 22672, 1, 2\/7, -1\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 12655 = 5*y, -2*t - 2*y - y = 5067. Let q = 292 + t. Round q to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 - (57108\/(-90421) + 5744\/190)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:01 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*d - 2265 = -17709 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 137 - 39 = 0. What is the third derivative of -47*d**4 + 2 + 26*d - 53*d + 27*d + 30*d**m wrt d?\nAnswer: -1128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 + -739686067.3?\nAnswer: -739686067.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316537 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-18) - 4\/18. Suppose 2*l + 1 = l. What is the closest to l in s, 2, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araraa. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8201.\nAnswer: 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 2. Let c be b(3). Let r(a) = -305*a - 4. Let z be r(-1). Find the common denominator of 29\/2 and 5\/c*z\/35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -193?\nAnswer: 21\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:45 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -27*k**5\/5 + 5*k**3\/3 + 7. Find the third derivative of x(p) wrt p.\nAnswer: -648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - -43723?\nAnswer: 43723.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2433.5 - 2434. Put -10\/17, 2, 2\/5, u in ascending order.\nAnswer: -10\/17, u, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 253926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - 36\/(-16). Suppose 4*b - l - 27 = -b, -3*b + p*l + 19 = 0. Let u be (16\/10)\/(2\/b). Solve x + u*x + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153)*2))*-3)\/(-2*sqrt(225)) + 3*(sqrt(612) + -3 + 4).\nAnswer: 3 + 87*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 46864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145\/6 + -24. Put d, -0.1, -2 in increasing order.\nAnswer: -2, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-6 + 10)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21)*3)\/(1183\/364)\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**6\/15 + 2*t**5\/5 + 72*t. Find k such that r(k) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 4663\nAnswer: -27978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*k = -14, -4*k + 5*k + 7 = -4*q. Solve q = 14*b - 73 + 87 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -426 + -2?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -18.2571.\nAnswer: -365.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17349 and -0.4.\nAnswer: 6939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 1701211?\nAnswer: 31\/1701211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 114 = -5*a + 40, k = -5*a + 77. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*p + 4*q, -22*q + 25*q = -4*p - 38 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21020110 - 221?\nAnswer: -21021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 25. Suppose -3*k + 4*l = 2*l + 8, -5*k - d = 5*l. Calculate the remainder when (-21)\/k - -2 - 1\/2 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323669 bigger than 1323668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -2\/11, -39, 0.06, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u**2 - 17*u - 8. Let q(w) = -6*w**2 + 6*w + 3. Let b(j) = 6*h(j) + 17*q(j). Let s(a) = -7*a**2 - 4. Determine 4*b(x) + 3*s(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -457, -2 in descending order.\nAnswer: -2, -14, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, j: 4, r: 4, t: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 14*w - 1. Let g(u) = -7*u**2 - 55*u - 3. Let o(r) = 6*g(r) - 22*k(r). Let h be o(11). Solve -6 = h*b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165.8448 + 1.7548. Let m = 7.09 + d. Which is the second smallest value? (a) -1\/5 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 32. Let r be 3\/2*(-4)\/j. Which is the nearest to 1? (a) 1 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -5)*1\/(-2). Let q be (2 + -1)*13*m. Let i(p) = -67*p - 1705. Let w be i(-27). Calculate the highest common divisor of q and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 36*z + 4*z**2 - 40 - 15*z.\nAnswer: 4*z**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + r - 49*r**3 + 50*r**3 - 6 - 2*r**2 to the form h*r**3 + l*r**2 + y + u*r and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 11)*6\/45. Solve 0 = -2*p + l*r - 10, 0 = -2*p - 8*r + 7*r - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*16\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:59 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzr when three letters picked without replacement from {w: 2, z: 4, s: 4, r: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -286, -12 in ascending order.\nAnswer: -286, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10805 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*u + 2 = 0, 4*d + 3*u = 203 - 210 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*x - 117, -2*x - 5*u + 25 = -16. Let n = -30 + x. Suppose -24\/7*g**n - 4\/7*g - 10\/7*g**4 + 0 - 18\/7*g**2 = 0. Calculate g.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q + 0*q + (0*q**2 + 0*q**2 + q**2)*(2 - 2 - 2) + 4*q**2 - 4*q**2 - 3*q**2)*(-1 + 0 + 2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9\/4)*o)\/((o*o**(8\/7))\/o))**6*(o\/o**(-5)*((o*(o*o**(4\/7))\/o)\/o)\/o)**(-31) assuming o is positive.\nAnswer: o**(-2535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5\/3 - 164*h**4 - 1528*h**3\/3 + 656*h**2 + 2016*h = 0.\nAnswer: -3, -2, 0, 2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (1 + -15 + 6 + 3 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -32. Suppose -2 = -5*h + 3, 5*z + h = a. Suppose -r = -q + 3*q - 30, -z*q = -2*r - 66. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, -10, -27, -46?\n\"Answer: -y**2 - 12*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2448346755503 - -11.4.\nAnswer: -2448346755491.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -4*b. Solve 0*u - b*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.122 - -0.022. Let l = t - -2.1. Sort l, 1, -0.06.\nAnswer: l, -0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-45))\/(130\/(-27) + (-128 - -133)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o - 2. Let p be f(3). Suppose -5*w = 3*c + 7 - 4, -2 = 2*c - 3*w. Let a be (2 + -3)\/(c\/p). Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 8*u + 291. Give y(14).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2503 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1016, 1039, 2\/15.\nAnswer: 2\/15, 1016, 1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 18 = 5*g - 9, f = -2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:24 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4119927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 5:20 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*g**3 + 159*g**3 - 29*g**2 - 26*g**6 wrt g.\nAnswer: -3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*5*sqrt(1053) - (sqrt(1053) + 0 + -1)*-5.\nAnswer: -5 + 225*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1900) + 2 + sqrt(1900)))**2 + -1 - (sqrt(1216)*-1*6 + (sqrt(1216) - (2 + (0 + sqrt(1216) + sqrt(1216) - sqrt(1216)))))**2.\nAnswer: 2688*sqrt(19) + 229963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 3*f + 4. Let n(y) = 8*y**2 + 9*y + 11. Let r(t) = 4*n(t) - 11*o(t). Let a be r(2). Solve 0*p - 2*p + 4 = -a*j, 0 = -4*j - 5*p - 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d**4 + 0 + 1\/75*d**5 + 0*d + 0*d**3 - 3*d**2 + 1\/300*d**6. Solve q(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -61. Suppose -c + r*c - 693 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - r - 4 + 3*r)*(-r - 2 + 2 + (-r + 2*r - 2*r)*(1 - 64 - 9)).\nAnswer: 142*r**2 + 71*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 103*n**2 + 4835*n - 598304. Calculate p(109).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1806255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24.20928 + -7\nAnswer: -31.20928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let x be 0 - (-1)\/(-5) - (-9)\/45. Suppose 2*h = 21*k - 25*k - 10, x = 2*h + 2*k + 2. Solve a*b - 3*b - h = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:53 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 2 (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*n - 434962 = -436810 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 213 = 2*x, -4*x = -6*x - 8. Let r = -9 - m. Is -3 - (r + 0\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/15 and 59\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let g be m(-2). Suppose 0*p = -3*w - g*p + 2, p = w - 4. Suppose w*x - 15 = -3*x. Solve x*d = -10 + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1687*w**3 + 2*w**2 + 5807*w?\nAnswer: 10122*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k + 213 = 14*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.9 + -0.9. Let x = 34 - 34.03. Let o = x + 0.13. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p - 1 = -f - 113*p, 4*f - 5*p = 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -141835.\nAnswer: -141844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 71040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.26 and -0.4.\nAnswer: -30.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 98*w - 360 = 0. Calculate w.\nAnswer: 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 683?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let r(i) = 84*i + 66. Calculate s(r(d)).\nAnswer: -14112*d**2 - 22176*d - 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:32 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/9 - 53*g**4\/3 - 1766*g**3\/3 - 3256*g**2\/9 + 20608*g\/3 = 0. What is g?\nAnswer: -112, -46, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:10 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeememmeemmmm. What is prob of picking 3 m and 1 f?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3124*f**3*p**2 - 93*f**3 - p wrt p?\nAnswer: 6248*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003964581 to five dps.\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:28 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 412333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 4 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + 7\/(-9) + (-3345)\/6021.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let r(o) = o**z - 7 + 2 + 5. Let a(s) = -2*s**2. What is a(r(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29\/143 + 5\/13. Let v be ((-49)\/(-14) - -3) + 1\/(-2). Sort v, 0.3, -4, c.\nAnswer: -4, c, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797, 1557, 2331, 3125, 3945, 4797?\nAnswer: 5687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 558, 1096, 1936, 3180, 4930, 7288?\nAnswer: 10356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-213 - -4)\/(26\/(-14)). Let f be 902\/(-8) - (-7)\/112*-4. Let x = f + r. Which is the fourth smallest value? (a) x (b) 3 (c) 2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = -155*v - 638. What is the nearest to 1\/2 in -374, -1\/7, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*z**2 - 2*n**2 - 11*n*z**2 - 2*n*z + z**4 + 5*z wrt z?\nAnswer: 2*n**2 - 22*n + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/13, 0.3, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149954 by 74977.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y = -150*y + 240044 - 57823. Is 1705 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -19)*2\/8 - 19\/(-11). Sort o, 2, -0.5.\nAnswer: -0.5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18647 + 18675. Let y(i) be the first derivative of 1\/3*i**3 + i**2 - u + 7\/4*i**4 + i. Calculate y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4260489*q**4 + 2*q**3*y**3 - 2604477*y**3 + 11*y wrt q?\nAnswer: -17041956*q**3 + 6*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02278722013 to 6 decimal places.\nAnswer: -0.022787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-330)\/9*126\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 + 3\/2). Let c be 40\/6 + (-14)\/21. Solve -c - h = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15943787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02749 and -1967.934.\nAnswer: -1967.96149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.6254us to nanoseconds.\nAnswer: 239625.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 17) + -8 - -4 - (-47 + -1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*(-480)\/(-280).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x + 0*x + 2*x - 3*x - 3*x + (-4*x + 5*x + 0*x)*(0 - 3 + 1) - x - x + 3*x + 0*x - 3*x + x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23030 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 22*y + 22. Let n(v) = 3*v**2 + 8*v - 8. Let q(d) = -11*n(d) - 4*w(d). Let i(k) = -1540*k. Calculate q(i(h)).\nAnswer: -2371600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -9074\/13337 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9785 - 9785 + 5*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + (-152)\/(-6). Suppose -2*u + 8 = 3*k, -4*k + 8 = -0*k + 2*u. Solve s - l = -2*q + 5*s, -3*q - s + 11 = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*i - 3*h + 4, -3*h - 6141 = -i - 6122 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/108, 5, 3?\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 17. Suppose -j*n = n - 8. Suppose 5*p = -4*o + 47 - 4, -29 = -n*o + 5*p. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 30*o - 11. Determine i(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -336, -322, -292, -240, -160?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -5*f**3\/6 - 6*f**2 - 8*f. Let u be y(-8). What is the greatest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 + -1)*(-8)\/6. Let b be (-2 - z\/(-6))*3. Suppose 0*j + b = j. What is the remainder when 6 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1246)\/2670*(-108)\/168*12.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let v be x(2). Let g(j) = 6*j + 3. What is g(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 26. What is j(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28246689 from -0.2.\nAnswer: -28246689.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 635 or 8.7?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u - 2*u = 0. Suppose u = 4*a - 0*a - a. Suppose -6*r - 3*o = -r - 714, a = 4*r + o - 574. 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 next in 4412170, 4412172, 4412174, 4412176, 4412178?\nAnswer: 4412180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101701?\nAnswer: 101701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*m + 11, 33 = 8*c - 13*c - 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -394, -352, -274, -148?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 17 + 17)*(300*x + 162 + 157 - 317).\nAnswer: -1500*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0 - 22*i**2 + 0*i**4 - 1\/15*i**5 + 0*i**3 + 1\/30*i**6 + 0*i. Find q such that d(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*10\/(-30)*-32467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99750333\/3574 - 27910. Let l = -144859\/57184 - i. Calculate the common denominator of 29\/40 and l.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/((-45)\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(20)*-6)\/sqrt(10) - (sqrt(14) + sqrt(140)\/(2*sqrt(10)))\/sqrt(7).\nAnswer: 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211313635.\nAnswer: 5, 13, 3250979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 16*m = -53196. List the prime factors of m.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 * -3.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 765 - p + p - 760.\nAnswer: -3*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = -2*x. Let c = x + -4. What is the least common multiple of c and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a7 (base 16) to base 13\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2*3\/2*((-310961)\/21 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2654*i**4 - 2*i**2 + 28085*i - 2?\nAnswer: 31848*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 3116?\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)*(3 - (-68)\/4). Suppose 0 = -2*h - 3*h - m. Let t(y) = y**2 + 5*y - 3. Determine t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(300) - (sqrt(300) - ((sqrt(300) - (sqrt(300) + 0)) + sqrt(300)))*-2)**2.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, -2\/11, -34 in ascending order.\nAnswer: -34, -4, -2\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*((-3)\/(-13))\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z - 132*z - 2 + 52*z + 47*z + 2.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*u**3 - 3*u**2 + 6514 wrt u.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284804306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 3. Is 1465\/1*(u - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15247.\nAnswer: 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36084 and -27.472.\nAnswer: -36111.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.634 - -4.934. Which is the nearest to -1\/2? (a) -0.02 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*o**3 + 2982*o**3 - 491*o**3 - 514*o**3 - 499*o**3 - 497*o**3 - 490*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 270?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/840*(-1495)\/(-78).\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 378 = 33*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 35*d + 33*d = 22, 0 = 2*z + 5*d + 55 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Let m = 18 + s. Solve 2*w + 4*p - 16 = 0, -2*w = 3*w - p - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n - 35403 - 4067 = 4970. Calculate the smallest common multiple of 1045 and n.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -27\/7?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1044931, -2089855, -3134781, -4179709?\n\"Answer: -b**2 - 1044921*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 1 (c) 4 (d) 0.18 (e) -5 (f) 933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 65. Let z(w) = 2*w**2. Calculate z(s(l)).\nAnswer: 8*l**2 + 520*l + 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 17. What is the third smallest value in 2, f, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13008026.\nAnswer: 2, 17, 382589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -15 (c) -334.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a - -71c61?\nAnswer: 71c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622*r**2 + 151*r**2 - 7*r - 1189 + 1207 + 21*r wrt r.\nAnswer: 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m**3 + 23*m**3 + 3*m - 41*m**3 + 5 in the form x*m**3 + k*m + q + s*m**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200110 - -101121?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -27*u**2 - 9*u - 15. Let z(c) = -c**2 + 3*c - 1. Let o(d) = -q(d) - 2*z(d). What is the units digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 2. Let d(s) = -s**3 + 17*s**2 - 14*s - 9. What is the tens digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.087 + 0.083. Let v = 6.13 + y. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*w + 20, 5*u + 6 - 5 = -4*w. Let b(x) = -4 - 1531*x - 3 + 0. Let d be b(u). Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13347?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 95\/13, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(441) - 2*sqrt(441))*4 - sqrt(441))\/((sqrt(847)*-2 - sqrt(7)) + sqrt(7)))\/(-2*sqrt(108)\/((sqrt(144)*2)\/sqrt(12))).\nAnswer: -5*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 14 - 2*x**2 - 31*x**3 + 30*x + 14*x**3 + 18*x**4 - 11*x**3 - 2*x**5.\nAnswer: -2*(x - 7)*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 274 - 109. What is the greatest common factor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171)*-1*2 - (sqrt(171) - (1*sqrt(171)*4 - sqrt(171)))))\/(sqrt(18)\/(sqrt(2)*-2) + sqrt(9) + 2*sqrt(18)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1176, 6999, 15174, 23349, 31524, 39699?\nAnswer: 47874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4699117 is divided by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192 less than 3297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -31 - 1. Solve 0 = 2*g + 3*s + 2, s + t = 3*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 143 (c) 12 (d) 0.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2)*(-39)\/546\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4432194 + -1.443. Round d to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1761 + -776?\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -233a7 + -41?\nAnswer: -23428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*h - 1672*h = 158*h + 901*h + 124600 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g - 18. Let k be 7*((-1 - g) + -3). Suppose -k = -4*h + 54. Solve -h - 3 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 39 = -1005. Let s = o - 161. What is the closest to 1\/6 in s, -1\/2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, -2\/7, 0, -823, -3, -4.\nAnswer: -823, -4, -3, -2\/7, 0, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5 + 10. Solve 4 = -2*s + 10, n = -3*l + 2*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 - 4*y + 3. Let u be b(3). What is the highest common factor of u and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/3971)\/((-278)\/1529)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - (-1)\/2. Let i = 7.3 - 7. Let x = -0.1 + 0.6. Sort y, x, i in ascending order.\nAnswer: y, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 9*p**2\/2 - 4. Calculate the lowest common multiple of 0 - 2 - 1*-11 and i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (36 - 11 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-71178))\/(2\/(-3)). Let l = -450812\/106767 + o. What is the common denominator of ((-534)\/108 - -7)*-4 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - r)*(12 + 3*r - 12) + 0*r**2 + 5*r**2 + 0*r**2 as m + n*r**2 + z*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - sqrt(48)) + sqrt(12)\/(sqrt(8)\/sqrt(2)) - (sqrt(147) + (-3 + sqrt(147) + -2*sqrt(147) - sqrt(147)) - (-1 + sqrt(147)*-2))**2.\nAnswer: -146 + 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 790258624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10722582 divided by -117?\nAnswer: 91646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 13*w + 13. Let r be v(-13). Suppose 63 = -r*s + 20*s. What is the highest common divisor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let z(h) = -5*h - 1. What are the prime factors of z(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 174 = 2*g - 4*l, 2*g - 192 = -4*l. Let j be 69\/g + (-18)\/40. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)*x**0*x)\/(((x*x*x**(-1\/2)*x*x*x*x)\/x*x)\/(x\/x**(2\/9))))\/(((x\/(x**(-2\/5)\/x))\/x)\/(x\/(x*x*x\/(x*x**(-2\/11)))))**(1\/20) assuming x is positive.\nAnswer: x**(-16957\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -152*c + 820. Let j be t(9). Which is bigger: 0.2 or j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 28717454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 221350 times 0.4?\nAnswer: 88540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 8. Suppose -2*a = -3*c - 9, -3*c + c = 4*a - 10. Let s be l(a). What is the third derivative of 9*v**s - 4*v**3 - v**3 - 15*v**2 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 - 27. Let j(f) = 5*f. Let l(x) = 4*j(x) - 25*q(x). Let t(o) = -4*o**2. Determine t(l(h)).\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86 and 0.01.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1018, -1, 3099 in descending order.\nAnswer: 3099, -1, -4, -1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c + 20 - 20 - 23*c in the form q + t*c and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777*o = 862*o - 255. Solve 3*c + m - 11 = 9, -4*c = -o*m - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2\/5*k**5 - 1\/4*k**4 + 0*k + 0*k**3 + 0*k**2 + 1 - 1\/6*k**6. Factor v(x).\nAnswer: -x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-474)*570\/475?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 746292418 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -12. Let m be 3\/1*1 - k. Let v be (-15)\/(-10)*m\/(-3). Which is the nearest to 0? (a) v (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*y + 28*y + 30. Suppose -y*d + 2*d = -20. Solve -22 = d*x - 3*q, 5*q = 5*x - 0*x + 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o. Let r(n) = -4*n. Let j(x) = 4*g(x) - 3*r(x). Factor j(u).\nAnswer: 4*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 87334260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + 75. Let i = 194 - s. Sort -5, i, 0.1 in descending order.\nAnswer: i, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfff when four letters picked without replacement from lffflffffffflff?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(117)*-1*6)\/(sqrt(9) + 6*sqrt(36) + (4*sqrt(576) + sqrt(576) + sqrt(576) + sqrt(9) - sqrt(9))).\nAnswer: -72*sqrt(13)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-112)\/(-14) - (7 - 1308)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/21 + -5\/21. Put 6\/5, j, -0.4 in increasing order.\nAnswer: -0.4, j, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -253, -713, -1411, -2389, -3689, -5353, -7423, -9941?\n\"Answer: -7*b**3 - 77*b**2 - 180*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99*((-26)\/(-12))\/((-10426)\/3208)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/2*b**3 + 1\/12*b**4 + 0*b + 0 - 3*b**2. Differentiate x(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 2*r**2 + r - 1. Let i(l) = 297*l**3 - 339*l**2 - 3*l + 3. Let m(s) = 2*i(s) + 6*v(s). What is the third derivative of m(p) wrt p?\nAnswer: 3636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (199 - 132*l + 62*l - 207)*(2 + 1 - 11)*(0*l + 3*l - l) to the form x + h*l**2 + j*l and give h.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + (-12 + -71 - -37)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 10*z**2 - 5*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 2*d)*(5*d**3 - 5*d**3 - 12*d**3).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 68 = -34. Suppose -4*f + 52 = s, s - 19 = 2*f - n. Let m be 4\/((1 - 3)\/(-14)). What is the greatest common divisor of m and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -4.\nAnswer: -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3255, 6507, 9759, 13011, 16263, 19515?\nAnswer: 22767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -255578.4281 rounded to the nearest 1000?\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517172 is divided by 1923?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 227013 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 77*m + 1100 = 0. Suppose m - 388 = -8*q. Solve -8*k - k = -q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 3*d + 25. Suppose -4*g - g + 5*i = 60, 3*g = 2*i - 31. Let h be l(g). Calculate the highest common divisor of h and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) + sqrt(50)\/sqrt(180) + sqrt(10)) - ((sqrt(275)\/sqrt(5))\/sqrt(5) + 5*(sqrt(11) + 2 + sqrt(11))))**2 + 5.\nAnswer: 2740*sqrt(11)\/13 + 224204\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 10.1. Let s = m + -10.0000068. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.35 + -0.65. Let m = 0.9 - 1. What is the smallest value in 1, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349078 a multiple of 2138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/5*(-100100)\/(-6006).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999 + 582 = 93*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 40012?\nAnswer: -40033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 + 1 - 9) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1*(23020\/15)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:00 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.555 milliseconds in minutes?\nAnswer: 0.00675925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - (-2 + -25)) - (-20 + 14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414638600?\nAnswer: 2, 3, 5, 2357731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7172)\/(-1) + (-24)\/60*-25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 666 = 61*q - 166 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z**3 + 16*z - 7. Let p(q) = -47*q**3 - q**2 - 49*q + 25. Let s(g) = 2*p(g) + 7*t(g). Find the second derivative of s(v) wrt v.\nAnswer: 108*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/40 + 19*o**5\/20 + 37*o**4\/4 + 28*o**3 - 86*o**2. Find a, given that m(a) = 0.\nAnswer: -14, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20867*l + 8182 - 8182.\nAnswer: -20867*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136, -266, -482, -784, -1172, -1646, -2206?\n\"Answer: -43*y**2 - y - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(54)\/sqrt(36)) + sqrt(171)\/(-1*sqrt(1296)).\nAnswer: 23*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 415 = -3*s + 407, -4*s - 12 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - j. Let l(z) = -30*z**2 + 4*z + 2. Determine -l(r) - 4*u(r).\nAnswer: 18*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 517500\nAnswer: 11\/172500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2686?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y\/(y\/(y\/(y**(-12\/5)\/y))*y))*y*(y**16\/y)\/y assuming y is positive.\nAnswer: y**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*l + 18*l + p + 1, -10*p + 0 = 2*l + 62 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 7 = 17*l - 3*a, -2*a = 3*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282458 is divided by 262.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 10911*r**3\/2 - 13274712*r**2 + 26955896121*r\/2 - 19719492555213\/4.\nAnswer: -3*(r - 3611)*(r - 1221)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 + 8*a - 9. Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-135)\/21 + 9)\/(((-540)\/42)\/(-15)). Find b such that -136\/3*b**2 + 0 - h*b**3 + 0*b = 0.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.2 + -6.3. Let x = 17 + r. What is the nearest to 2 in -1\/4, x, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-4 + -2)*((-3)\/(-6) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) + (-42)\/35. Let s(z) = z + 15. Let q be s(0). Let i be 1\/2*(-36)\/q. Which is the nearest to r? (a) i (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 - 37*g + 146*g - 51*g + 2*g**3 + 39*g**2 - 48*g + 2 to x*g + y*g**3 + h + r*g**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 6 (b) -1\/5 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132093 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2092762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4896 = 13*r + 11*r. Let h(q) = 402 - r - 206 + q. Suppose 0 = -0*a - 2*a + 4*f - 8, 3*a - 4*f + 2 = 0. Give h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 111?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cca8 (base 13) to base 9.\nAnswer: -86274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12110000 (base 3) to base 8\nAnswer: -7601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c + 3. Let w be t(-6). Let u = w + 79. Solve 0 = u*i + 4 + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f - 2*f)*(61 - 61 + 139*f**2) + f**3 - f**3 + 2*f**3 to g*f + s + c*f**2 + b*f**3 and give b.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 48, 8, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 3. Let v = n - -3. Which is the third smallest value? (a) -2 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*(-4)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -56839.\nAnswer: -2\/56839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 174\/4 - (81361\/394 - 208)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10*c - 33. What is a(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4662 is divided by 425.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + ((-4370)\/276)\/((-15)\/9)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 0 + (189 - 0) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 15. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 4*b**2 - 5*b + 3. Let j be q(5). Suppose -j*i + 69 = 18. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (14 - 6) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10741232 (base 8) in base 5?\nAnswer: 1044443303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 5.2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + (-120)\/50. Let g be -2 + 1 + r - -2. Calculate the remainder when 1 + g + -1 + 29 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 35412.\nAnswer: 602004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 40*k**2 - 41*k + 1. Let b be w(-41). Find the second derivative of -183*a**2 - 76*a**2 - 9*a - b + 8 + 2 wrt a.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -52*b**2 - 971*b + 8. Is 17 a factor of h(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in 1, -2.26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 10*l - 37, 513*l + 506*l + 3*f = 1014*l + 86 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-8)\/(-4))\/((-16)\/(-19272))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in -0.4, 8, 6\/11, -3, -3\/149?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4405, -17627, -39661, -70513, -110189, -158695, -216037?\nAnswer: -282221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 7. Let v be s(6). Suppose 5 + v = 3*x. Suppose x*n = -0 + 2. Are 1 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 71*u = 68*u + 2, -2*u = -8. Sort -1\/7, 13\/7, -2, q, 3 in decreasing order.\nAnswer: q, 3, 13\/7, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 40 = 8. Let k(v) = -68*v**3 + v**2. Let m be k(-1). What is the derivative of -44*h + 0*h - z + m - 31 wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -230 - 62. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000066601 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 3, v: 3, d: 1, o: 1, s: 1}. Give prob of sequence og.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 - 9*c**2 + 35*c**2 - 18*c**2 - 11*c**2 as w + k*c + n*c**2 + i*c**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (-13 - -13) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + d. Let b be w(2). Let f = -72305 - -72417. What is the greatest common divisor of f and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 1. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/8 - 31*i**2. Let b(j) = -27*j**2. Calculate b(a(y)).\nAnswer: -243*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:03 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 13*i**5\/60 + i**4\/6 - i**3\/2 + 2*i**2. Let l be m(-4). Calculate the greatest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12272*m + 564471. What is p(46)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/1165743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9a6 (base 12) to base 6.\nAnswer: 234330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:10 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27\/2 - 191\/14. Which is the biggest value? (a) -76\/5 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35793 - 35793.0030258. What is z rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-6)*(-15)\/(-2). Let p(g) = -t + 70 + g. Let q(j) = 2*j**2 - 2*j**2 - 2*j**2. What is p(q(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -866a0b5?\nAnswer: 866a0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -953, -1894, -2835, -3776?\nAnswer: -4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g. Let j(m) = 2*m + 47. Give t(j(p)).\nAnswer: 16*p + 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(1 + 1) + -2. Let y be 5\/((-15)\/f) + 3. Suppose y - 2\/7*h**4 + 0*h**3 + 0*h + 2\/7*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from {h: 10, a: 4, t: 2}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 8. Calculate the remainder when d(-14) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + q**2 + 3 + (2*q + 1 - 1)*(-141*q + 284*q + 191*q) + q**2 + 0*q**2 + 0*q**2 + (2 - 6 + 3)*(-1 - q**2 + 1) + 2*q**2 - q + q.\nAnswer: 673*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14659810.\nAnswer: 2, 5, 11, 133271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 + 9*q + 22. Let x be c(-12). Let y be (-8)\/10*(-29)\/x. Suppose 2*t + 18 = -2*v - 2*t, -5*v + 3 = -2*t. Are y and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23615 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) 3\/2 (d) -1052\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -465*w - 54. Let p be y(-3). Suppose -12*b = -15*b + p. Calculate the remainder when b is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p - 4\/5 - 1\/5*p**2.\nAnswer: -(p - 4)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 1\/7 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84.9 + 10.\nAnswer: -74.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1316 - 1224. Calculate the remainder when w is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6884.\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 432*c - 14609. Determine f(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 97640.61 kilometers?\nAnswer: 97640610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 6*c + c**2 - 1 + 2*c + 12. Let g be q(9). What is the units digit of 42\/7 - -1*g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 + 7*h**2 - 12*h - 1. Let y(v) = -v**3 + 2*v**2 - 4*v. Let p(r) = 3*o(r) - 8*y(r). Calculate p(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, h: 1}. Give prob of sequence jj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 23*n**2 - 8*n**2 - 8*n - 4*n**2 - 10 - 6*n**2. Does 15 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 + (-69 - -114) + 28?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.3. Let r = -12.9 + 12. Let m = r + -0.1. Which is bigger: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:28 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(n - 2 + 2) - 6 - 7 - 1 + 24383*n - 12 + 28.\nAnswer: 24382*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -353, 0 in increasing order.\nAnswer: -353, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -61 - ((-1 - 0) + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97965396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2 + 2)*(-39*o + 115*o + 32*o).\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, 0, 1 in decreasing order.\nAnswer: 1, 0, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -612 (base 14) to base 13\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spysfyfppppfpjppsp. What is prob of sequence sfs?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 - 7*m + 0. Let w be (0 - 1)\/((-3)\/3). What is z(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5844213 and 5301?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134010 and 34.\nAnswer: 4556340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421 (base 14) in base 4?\nAnswer: 2031111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:43 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -5, 10, 25?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1733 - 1229. Let i = p - 503.97787. Round i to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(2057) + 1)*4)**2 - 2*(sqrt(2057)*3 + -3)**2) + -3.\nAnswer: -4119 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/15 and (8\/(-24))\/(77\/(-37) - -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5892, 10879, 15882, 20901, 25936?\n\"Answer: 8*o**2 + 4963*o + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**3\/3 - d**2\/2 + d - 30. Let h = 2 + -1. Let q(g) = 2 - 2 + g + g**2 - h. Determine -o(p) - 3*q(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(2\/(64\/8))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((3\/18)\/((-6)\/(-9)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 5. Let x(c) = -13*c - 2. Let v be x(-1). Let o be n(v). Calculate the highest common divisor of 252 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 158*n + 6245. Calculate the remainder when 22 is divided by s(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6448*m - 57. Let n be k(-4). Suppose 2*t = -3*t + n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-14) - (-1 + -1). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 298.8608.\nAnswer: 20.920256","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223242042 - 112?\nAnswer: -223242204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:12 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - (1*sqrt(84) - sqrt(84)) - sqrt(84))*-2)*-3*6)\/((-1*(sqrt(96) + 1*sqrt(96)))\/sqrt(8)*5).\nAnswer: 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 - 3*m - 2. Let g be p(-3). Let y = -20 + 5. Let o = g - y. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:07 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723.7 at most as big as -0.078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5603.541 - 0.073\nAnswer: 5603.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/120 + n**5\/10 + n**3\/3 + 2*n**2. Let l be u(6). Put l, -4\/7, 3 in descending order.\nAnswer: 3, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1 + -60 + 63 + -32?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 35742780?\nAnswer: 35742781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - 0.35. Let l = y + 0.4200034. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 24693.\nAnswer: 5\/24693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 3*z**3 - 4*z**3)*(-3*z + 2*z - z) + (-3*z + 3*z + z)*(-5*z**3 - 3 + 3).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) + (-4)\/6. Let t = -81 - -41. Let c = 40 + t. What is the biggest value in -2\/3, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + (13 - 6 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - (-5 + 3 + 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 + 728 = 628*k - 609*k. Solve 0 = -k*d + 85*d + 5*q - 20, -13 = 3*d - 2*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005403954 less than 0?\nAnswer: -4005403954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 2, 1427986, 9 in ascending order.\nAnswer: -13, -2, 2, 9, 1427986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12044 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 - 7 + 6 + 0 + m**3 + 0 + 5*m. Suppose 4*z + 12 + 8 = 0. Give t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4, -26, 42.087, -2\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 11. Let p(v) = -16*v + 23. Let j = -748 + 746. Let m(z) = j*p(z) - 5*a(z). Let o(d) = 2*d**2. Calculate o(m(x)).\nAnswer: 128*x**2 - 288*x + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -80. Let s = -32.2 + y. What is s rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*214.8.\nAnswer: 6.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -123.5*-0.1\nAnswer: 12.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -11, -0.4, -723?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 11*r + 5860. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6e73 (base 15) to base 16\nAnswer: -5bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 4*s - 3. Let h = -4 + 3. Let p be l(h). Let j = -25 + 49. Solve 0*w = -4*w + 2*d - j, p*w + 16 = -2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -47.4. Round v to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t + 35 - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 14.9. Let t = 13 + z. Sort t, 1\/11, -2.\nAnswer: -2, 1\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58358, -116475, -174592, -232709, -290826, -348943?\nAnswer: -407060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 16*n**2 - 280*n + 3879. Determine p(12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662 + 3083 - 606 - 609 - 608 - r**2 - 611.\nAnswer: -r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2411 or -27?\nAnswer: -2411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36736 and 6560?\nAnswer: 183680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8738626 divided by 672202\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864423402.\nAnswer: 2, 3, 521, 276527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1105.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let o = 268.7 + -253. Let g = -16 + o. What is the second smallest value in x, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 8. Let q(f) = -f**3 - 4*f**2 - 4*f - 3. Let n be q(-3). Calculate h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 23. Let a be 1*i + 4 + -9. Solve a*n - 2*f - 9 = 11, -4*f = -4*n + 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 37 = 4*h, -1 = -2*h + d + 22. Let g(t) = 77*t**3 + 207*t**3 - 462*t**3 - 1223*t**3 - h*t**2. Let b be g(-10). Round b to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2321 + -1461. List the prime factors of c.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1136296.\nAnswer: -3\/568148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/80640 + x**7\/3360 + x**6\/360 - 3*x**5\/5 - 16*x**2. Let v(m) be the third derivative of k(m). Solve v(b) = 0 for b.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 211 = 2*q, -4*q + 4*y = -55 - 377. Let v(o) = 54*o**2 + 85*o - 1. Let i be v(-3). Let u = i - q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115094, 134883, 154670, 174455?\nAnswer: 194238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let w be r(-4). Let g(o) = o**3 + 7*o**2 - 12*o - 11. What is the units digit of g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, -797.\nAnswer: -797, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29451 and 24.\nAnswer: -29427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65566 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 14*a - 6. What is s(-10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.202 and 12?\nAnswer: -38.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24161380.4 minus 2?\nAnswer: -24161382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(-1)*(-34)\/68\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -80*z**3 + 12*z**2 - 57*z - 12. Let u(n) = 2*n**3 - 2*n**2 - 2*n + 2. Give j(d) + 6*u(d).\nAnswer: -68*d**3 - 69*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmgtjjgt. What is prob of picking 1 j and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 145b (base 14) to base 16\nAnswer: e19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 13*k**2 + 2*k - 6. Let f be r(13). Suppose 7*m = f*m - 26. Solve -2*o + 4 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34012323 - -3?\nAnswer: -34012320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 26*p + 1116. Calculate the remainder when p is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4045 and -1.3.\nAnswer: -0.52585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s**2 - 13 - 10 - 9 - 11*s**2 as o + f*s + u*s**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3301 (base 4) to base 6.\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 12, -5*n - 9 = u - n. Suppose -3*m + u*m - 56 = 0. What is the derivative of -m*o**2 + 0*o**2 - 8 + o**2 wrt o?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001.833 rounded to the nearest 10?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**5 - 442*x**4 - 50*x**2 - 13*x**2 + 441*x**4 wrt x.\nAnswer: -420*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i. Let d be u(15). Suppose -148*t + d*t = 212. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*x - 40 = 3*d, 3*x + 12 = 0. Let v be 0\/(-2) - (d - 16\/(-4)). Factor -2\/3*g**2 - 2*g + v.\nAnswer: -2*g*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**20)**(2\/153))**(-1\/15) assuming h is positive.\nAnswer: h**(-8\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - z - 6. Let u be h(-7). Let y(q) = -2*q**2 + 36*q + 80. Let j be y(20). Solve 4*o - u - 3 = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-4))\/(-1))\/((-6)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25236230 (base 7) to base 12\nAnswer: -91a585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 60411900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31122440 + -2414?\nAnswer: -31125254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25825?\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -324*x - 210. Suppose -4*p = 4*j + 5 + 11, p = -4*j - 1. What are the prime factors of b(p)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2973, -5974, -8975, -11976, -14977, -17978?\nAnswer: -20979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 137*a**2 + 406*a + 416. What is j(-134)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 2*z + 23 + 3, 0 = 3*v + 2*z - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**6\/30 + 7*r**5\/25 - r**4\/2 - 112*r**3\/15 - 48*r**2\/5 + 1116. Solve m(q) = 0.\nAnswer: -6, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54965*x = -56993*x + 64896 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y**2 + 3*y - 1. Let k(w) = 2*w**3 - 2*w**2 + 4*w - 1. Let p(i) = -3*f(i) + 2*k(i). Factor p(t).\nAnswer: (t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2333970.\nAnswer: -233397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c*c**(-1\/7)*c*(c**(-1\/5)*c)\/c*c**1*c*c*(c*c\/(c*c*c**(1\/4))*c*c*c\/c**(8\/3)*c)**(2\/111) assuming c is positive.\nAnswer: c**(248873\/23310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 10 - 10)*(-3*s**2 - 2*s**2 - 2*s**2).\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55664 divided by -3?\nAnswer: -55664\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 155*k**3\/6 - k - 93. Let g(w) = -7*w. Give s(g(p)).\nAnswer: -1085*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)\/(-2) - -4. Let p = 3 + r. Suppose -p - 1 = -4*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8200 or 3?\nAnswer: 8200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 - 1341 = -10*m. Suppose -z - 59 + m = 4*s, 5*z - 740 = s. Does 36 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 1.60008. Round w to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + 0.54. Let d = f + -1. Let n = 3.02 - 0.02. What is the biggest value in n, d, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 3*r - q - 182 - 1203, -10*r + 4*q + 722 = 0 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264068 or 0.01?\nAnswer: -264068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k. Let w(s) = -1315*s**2 + 106*s. Determine w(q(g)).\nAnswer: -21040*g**2 - 424*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 68. Suppose w = 5*l - 11, 0 = 3*t + 2*l - 76. What is the lowest common multiple of 8 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1959 + -0.1959. What is the fourth biggest value in -5, 652, q, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 44 = -3*q, 4*u - 4*q = -q + 88. Let a be (252\/(-98))\/(16\/(-96) + 142\/924). Calculate the greatest common factor of u and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7005 and 42270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 2. Let u(j) = j**2 - 58*j - 26. What is d(u(w))?\nAnswer: 5*w**2 - 290*w - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*v + 2*g, -2*v = v - 2*g - 53. Suppose 3*f + 1 = -4*u + 12, 4*u + v = 3*f. Let d = -3 + f. Solve -d*o - 1 = -3*j, 2*j + 0 = 3*o - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 14*k - 1. Let f be p(5). Let b = -43 + f. Solve b = w - 4*o - 3, w - 5*o - 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**3 - 3*m**2 - 4*m. Let i(j) = j**3 - j**2 - j. Give -4*i(z) + y(z).\nAnswer: 8*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 - 10*s + 3. Let o = 761 + -769. Give j(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7789104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and 0.0431.\nAnswer: 2.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1135 + -1045 - (123 + -3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from xcxcxxcxxxxxxxx?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, 991, 2575, 4697, 7357?\nAnswer: 10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*n**2*s**3 - 796879*n**2 - 2*n*s - 3*s**4 + 3926*s**3 wrt s?\nAnswer: 114*n**2*s - 36*s**2 + 23556*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m**2 - 6*m - 6. Let d be i(-3). Let r be d\/(-36)*6\/(-4). Factor -1\/6*o**r + 1\/6 + 0*o.\nAnswer: -(o - 1)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**5*r*r*r)**(-8) assuming r is positive.\nAnswer: r**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1442466 divided by 11358\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/11 + 232*w**4\/11 - 9478*w**3\/11 - 692*w**2\/11 + 28880*w\/11 - 18944\/11 = 0 for w.\nAnswer: -148, -2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2084, -4177, -6270, -8363, -10456?\n\"Answer: -2093*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.87 - 95.87. Is 6 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320753 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d - 1. Calculate the remainder when p(4) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 12*w**2 - 23. Determine d(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (424488\/(-184184) - (-6 + (-840)\/(-130))) + (-6)\/(-7)?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30395071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 51*s - 58*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -29*y + 9. Let d be r(7). Is (-3)\/(-12)*-2*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 14 (c) 4 (d) -8\/249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let q(i) = -2*i. Let y(t) = -t. Suppose 4*h = -4*r - 16, 4*h + r + 16 = -r. Let k(j) = h*y(j) + 3*q(j). What is l(k(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 47*m**3 + m**2 + 6. Let r = 221 + -218. What are the prime factors of h(r)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - f**3 + 2 + 3*f**3 - 2 in the form m*f**3 + q*f**2 + r + x*f and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/5 - 2742986*j\/5 - 2742987\/5 = 0.\nAnswer: -1, 2742987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 7*p + 48 = 10*p. Suppose -p = -b - m. What is the least common multiple of 24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1001909218 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10. Suppose v + 5*f = -1 - 11, -2*f + 12 = -v. Is v\/((j\/2)\/1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133314 (base 5) to base 8.\nAnswer: 12523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.69889cm to nanometers.\nAnswer: 76988900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:22 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.9258 times -0.1\nAnswer: -0.09258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*o**2*s**2 + 2*o**2*s + 1795*o**2 + 42*s**2 wrt s?\nAnswer: -48*o**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-48)\/342) - (-12)\/96?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 15. Suppose -6 = t*x - 3. Let w = 27 + x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3\/2 - w**2 - 3*w. Let t be k(2). Suppose t*f = 12 + 24. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 - 54*k + 2639. Calculate d(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, n: 3}. Give prob of sequence ne.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4269297 millennia?\nAnswer: 5123.1564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -602*w + 276*w - 3508*w + 115020 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 68*q + 179. What is k(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311336 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 16*v**2 + 17*v - 72. Is 100 a factor of f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 142848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515852 is divided by 274.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 147512, 147539, 147566?\n\"Answer: 27*o + 147485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:40 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x + 30. Let w = x - 9. What is the closest to 2\/5 in -5, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/595764*-26*((25\/(-5))\/5 + 3)?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -46726, 5 in decreasing order.\nAnswer: 5, -1, -46726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449 + -317. Let c = -217 + k. What is the biggest value in -4, -0.2, c, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*b = -11 - 4, -15 = 3*g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -13*p**6\/720 - p**5\/120 - 5*p**4\/24 + 2*p**2. Let w(y) be the second derivative of l(y). Is w(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250 divided by -5?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -28710418?\nAnswer: -37\/28710418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 6 - 9. Let q be l\/54*(-1 - 3). Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071211 != 1071186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.076865 days?\nAnswer: 11630.6856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422528 is divided by 30919.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.167575 - -0.80466882?\nAnswer: 0.97224382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32*3\/(-288) + 40*6\/(-9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 272, 255, 252, 275, 336, 447, 620?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 67, 86, 113, 148, 191, 242?\n\"Answer: 4*o**2 - o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -153*a - 226. Let w be i(-2). What is the greatest common divisor of w and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 - 3*h)*(5*h**2 - 2*h**2 - 9*h**2) - 2*h**3 - 16*h - 23*h - 2 + 27*h in the form a*h + g + q*h**3 + w*h**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -817*z - 528577. What is y(-647)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -40. Solve 15 = r*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549509177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 223*q - 7031. What is d(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 4018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6624 is divided by 389?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, 2, -0.4, -20, 2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57318, 57292, 57254, 57210, 57166, 57128?\n\"Answer: f**3 - 12*f**2 + 3*f + 57326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0836 less than -5402?\nAnswer: -5402.0836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 17. Let n be i(-25). Solve 2*f + 0*f = -n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i + 9. Calculate d(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2032 divided by 4.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*i - 42*i. Factor -1 + i - 18*u**2 + 2 - 9 + 6*u**4 + 4*u**3 - 24*u.\nAnswer: 2*(u - 2)*(u + 1)**2*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + -20 + 7 + (1 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3 + 4 - 2 + 2*g**2. Suppose 0 = 2*o - 1 - 7. What are the prime factors of y(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-5))\/((-25)\/(-500)). Suppose -2*b - 28 = -z*u, -22*u + 23*u = 4*b + 14. Let a(k) = k**2 - 4*k - 5. Give a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001598965 to 7 dps.\nAnswer: -0.0001599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o**2 + 81*o + 2282. Give n(-11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -664713194 - -0.3.\nAnswer: -664713193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -289. Suppose 2*s - 3*s - 4*t + 55 = 0, -2*t + h = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 14*y + 31. Let k be h(-16). Is k smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (-33 - -36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 m, and 1 y when four letters picked without replacement from {n: 7, y: 3, m: 3, l: 2, r: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 3. Let w be 2\/(-4) - b\/(-2). Suppose -2*a + 6 + w = 0. Solve -5 = 2*u - a*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8834 + 238544\/27. What is the common denominator of -7\/57 and w?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -807, -1900, -3433, -5406?\nAnswer: -7819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 15. What is the smallest common multiple of 6 and g(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((198\/(-12))\/11)\/((136\/16)\/(-17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.05, 8, -0.5 in decreasing order.\nAnswer: 8, 0.05, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -2152, -3236, -4316, -5392, -6464, -7532?\nAnswer: -8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*p**5 + 36*p**4 - 42*p**3 + 18*p**2 + 4282?\nAnswer: 3600*p**2 + 864*p - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*a + 443*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53808278 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 239 times 601\nAnswer: 143639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 16. Let m(y) be the first derivative of u*y - y + 2*y**6 - 3 - 4*y**2 - 3*y. What is the second derivative of m(j) wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3278*b**4 - 1730*b**3 + 2*b**2 + 52026172*b wrt b.\nAnswer: -39336*b**2 - 10380*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from oowtottobobooowbbbo.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-495)\/(-171) - (-12 + (-904)\/(-76)). Factor 16\/5 - 24\/5*n - 1\/5*n**x + 9\/5*n**2.\nAnswer: -(n - 4)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2) + (-2184)\/(-20). Let o = t + -2579\/20. Calculate the common denominator of 3*(-3 - (-360)\/118) and o.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 1 = -3*w, 5*w + 4*i + 14 - 23 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a10a7 (base 14) in base 4?\nAnswer: 21223231223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.211, -3\/8 in decreasing order.\nAnswer: 0.211, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*z + 26, 5*v - 56 = 20*z - 0 + 114 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(176)\/sqrt(4) + (sqrt(176) - -2*sqrt(176) - sqrt(11))))**2.\nAnswer: 46475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(-2 + 11). Let w = -10 + 11. Let h = 0.26 + -0.66. Which is the second smallest value? (a) w (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781237 a multiple of 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20087481997 + 20087481997 - 197*v - 2*v**3.\nAnswer: -2*v**3 - 197*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1733*u**2 + 7969 + 1747*u**2 - 3481*u**2 as f + w*u + j*u**2 and give f.\nAnswer: 7969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1000*l**4 - 224*l**3 - 1926*l**2 + 5*l - 11.\nAnswer: 24000*l - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -261.\nAnswer: -261, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f - 5. Let d(v) = -2*v - 8. Let q(i) be the first derivative of -i + 420. Give f*d(p) + 6*q(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + b - 18. Let y be d(5). Let i = -106 - y. Let l be ((-9)\/12)\/((-3)\/i). Solve -5*n - 2*f = -7, l = 5*n + 3*f - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2156, 896, -370, -1636, -2896, -4144?\n\"Answer: t**3 - 9*t**2 - 1240*t + 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -9, -4, 121818 in increasing order.\nAnswer: -43, -9, -4, 121818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**3 + 64*n**3 + 12*n**3.\nAnswer: 118*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 - -98. Let d = 16 - f. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12462*k - 148354 + 148354)*(-3 + 2*k**2 - 2 + 4).\nAnswer: 24924*k**3 - 12462*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 + 0 - 3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*l - 18 = 0. Suppose -l*j + 119 = -58. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, -3\/4, 1\/17, 3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 1.52, -35.3?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(48)\/sqrt(2) - sqrt(24)))\/(sqrt(12) - -3*sqrt(192)))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 14*p - 23. What is c(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 288, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 1. Let f be l(1). Let t = -502 + 349. Let h = -104 - t. What is the biggest value in 0.3, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evveevveveeevvvvee. Give prob of picking 2 e.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*j + 134 = 0, -j = 4*t - 6*j - 130. Solve -t = -4*u - 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 215031 and 34.7352.\nAnswer: 215065.7352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 99, 184, 303, 456, 643?\n\"Answer: 17*x**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1083\/8 (b) -2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 16*n - 59. Give l(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t - 1. Let x be (16\/8)\/(1 + (-4 - -1)). Determine n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227502.8928 to the nearest ten.\nAnswer: 227500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 + -5.7. Let i = 0.6 + -0.5. What is the fourth biggest value in 3\/2, 2, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8195*v + 8192*v - 16389*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.5 + 11. Let v = -0.5 - g. Let k = 2 - 3. Which is the closest to 1\/2? (a) k (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 113*a + 3194. What is n(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1815219\/1294858073 - -29\/21181. Let f = n + 8653804105\/733596. Let z = 11786 - f. Calculate the common denominator of z and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49144, 196486, 442044, 785812, 1227784, 1767954, 2406316?\nAnswer: 3142864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 1094 (b) -0.03 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 12*n + 3. Let t be b(-6). Solve 1 = -t*j - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64\/7*(-196)\/(-56) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/11 - 9539331*t**2\/11 + 19078665*t\/11 - 9539333\/11.\nAnswer: -(t - 1)**2*(t + 9539333)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 7. Let y be 2\/(-9) + 83\/9. Let n be r(y). What is the smallest value in -1, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2351 divided by -4.\nAnswer: -2351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29849791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4 - 21. Sort 3, y, 0 in descending order.\nAnswer: y, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -54, -97, -158?\n\"Answer: -9*d**2 + 2*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15 and 43\/1847523.\nAnswer: 9237615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h**4 + 1044*h**3 + 36614*h**2 + 190008*h - 81928 = 0.\nAnswer: -22, -7, 2\/5, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - d = 3*x, 5*x + 3*d = 10. Let c = -2 + 3. Let h = c + -6. What is the nearest to -1 in 1\/6, x, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-2)\/(8\/36). Let i = 99 - x. Calculate the remainder when i is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28 + -1 + 0\/(-2). Suppose 0 = -4*b - 2 - 14. Let a = s + b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 15*n**2 + 80*n + 140. Give y(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30958, -30829, -30700, -30571, -30442, -30313?\n\"Answer: 129*k - 31087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**3 - 35*n**5 - 13*n**2 + 20*n**3 - 9*n**2 - 16*n**3 - 2*n**2 wrt n?\nAnswer: -2100*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*j = -922*j + 4*r - 40, -51*r = -255 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1\/7, 5, -4, 7\/3, -0.8422 in ascending order.\nAnswer: -4, -0.8422, 1\/7, 2, 7\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*q**3 + 80*q**3 - 83*q + 46*q**3 wrt q?\nAnswer: 594*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12189 and 56799?\nAnswer: 230774337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2 - (0 - (0 + 2))). Let m be ((-1598)\/(-5) - l) + (-6)\/10. Calculate the greatest common factor of m and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44080478 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2 (c) -10247 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/8 + 5*x**4 - 27*x**3 + 52*x**2 - 34*x.\nAnswer: -x*(x - 34)*(x - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062981.\nAnswer: 661, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741763.\nAnswer: 11, 67433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 - 3*w - 5. Let i(m) = -15*m**2 + 6*m + 11. Give 3*i(y) + 7*r(y).\nAnswer: 4*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) + 348\/(-528)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/840 and 7\/520.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 t, and 1 e when four letters picked without replacement from {q: 3, e: 16, t: 1}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142413, -142436, -142459, -142482?\nAnswer: -142505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((-6)\/(-8) - -1). Suppose -18 = -o + f + 3*f, 60 = 4*o - 4*f. Suppose 24 = 4*c - 4*y, -10 = -2*c + 5*y + o. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 21.7?\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**2 - 21*j**2 + 5*j**2 + 4*j - 4*j + j**2 + (-2*j**2 + 0 + 0)*(-5 + 3 + 0).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.062 - -5.062. Let y = -22 + 40. What is the closest to 1 in y, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324631 = -2*u + 420287. List the prime factors of u.\nAnswer: 2, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5280041 and -101\/2.\nAnswer: 10560082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 10*m + 1. Suppose -2*d - 2*r = -17 + 7, -5*d + 27 = 3*r. Calculate the remainder when o(-7) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1061672 to four decimal places.\nAnswer: -0.1062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -0.3, 1\/12, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1990 and 1808.57.\nAnswer: 3798.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 16*k + 9*k + k - 8*k. Let o(x) = 27*x**2. Give o(b(d)).\nAnswer: 9747*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 4. Suppose 0 = 3*c - c - 6. Let j(x) = -3*x + 5. Let g(f) = c*j(f) - 2*m(f). Let y be g(7). Solve 4*o - i - 24 = 1, y = 3*o + 2*i - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/2)\/((-6)\/8). Suppose m + 3 = 8. Put m, 2, b, -1 in descending order.\nAnswer: m, 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/5)\/d))\/d**(-6)*(d*d\/(d*d\/d**(2\/5))*d)**(-12\/7) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/20 - 26\/40. What is the fourth smallest value in -0.4, -2, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1465 + 1465 + 2*t. Let b(d) = -3*d. What is b(k(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 25*i = -685. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 200, 2165\/44, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18634*p + 570363 + 1274950 = -13216 - 4871 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**5)\/(l\/l**(-4\/7)*l*l)*l**(4\/5)*l*l*l*l**(1\/3))**(-5\/9) assuming l is positive.\nAnswer: l**(-794\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37701, 75398, 113095?\nAnswer: 150792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 77, 311, 763, 1505?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1023.129095543 and -11.\nAnswer: -1034.129095543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -82, -154, -226, -298, -370, -442?\n\"Answer: -72*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-3))\/(15\/5))\/(16\/2592*18).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r + 12 = 0. Let f = 28 - 15. Suppose 16 = -9*k + f*k. Solve -20 = -4*n + k*b, 4*b = -r*n - 12 - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -8, 22 in ascending order.\nAnswer: -8, -5, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18 and -41\/564?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 4*c**2 + 2575*c - 3 - 2575*c to t + f*c**2 + u*c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**1*y))\/y**(-2\/7))\/((y*y*y*y**8\/y*y)\/(y\/(y*y**(-7)))))**(2\/65) assuming y is positive.\nAnswer: y**(-66\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + sqrt(396)\/(sqrt(9)*-4).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1458 and 31\/486.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3 - 6*k**2 + 18*k - 15. Suppose 25 = 3*u - 5*f - 13, 3*f + 12 = 0. What is the units digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 230, 497, 868, 1343, 1922?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20f83e (base 16) to base 6.\nAnswer: -114151130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6703, 27198, 61485, 109564, 171435?\n\"Answer: 6896*l**2 - 193*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 5. Let h be n(4). Let m = 4 + 7. Suppose -10*q - 225 = -m*q. What is the highest common divisor of h and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4*s - 19. Let h be t(7). Solve -3*o - 4*d + 18 = 0, 5*d - 25 = h*o - 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:42 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 7*z + 8. Suppose 0 = 3*o - 25 + 4. Let r be g(o). Is r\/4 + (-110)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/8)\/j**(17\/3)*(j**17*j)\/j**(-3) assuming j is positive.\nAnswer: j**(365\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3*(9208\/12 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -3303?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -12. Suppose 5*t - 89 = r. Calculate the smallest common multiple of (-1 + 0)\/((-1)\/6) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -14*l + 10. Let z(q) = 3*q - 11. Let y be z(l). Solve y*f - 3 = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5635 - 50771\/9. Let v = -197\/36 - w. Which is the second biggest value? (a) v (b) -3\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -6)*(-21710)\/13. What is a rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -7. Let d = z + 23. What is the remainder when (1*-7)\/((-1)\/7) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 13. Give y(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.181 + 0.181091. What is x rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -87.71244 from -608.\nAnswer: -520.28756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 1164.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c**5*c)\/c))\/(c\/(c\/(c\/c**0))))**(-1\/11))**(-19\/6) assuming c is positive.\nAnswer: c**(-95\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -187, -3, -2\/17, -2\/19, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q. Give j(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 0. Let g = l - -6. Suppose -g*m + 26 = -m. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382324568.\nAnswer: 2, 47790571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*((sqrt(1764) - ((-1*sqrt(1764) - sqrt(1764))*5 - sqrt(1764)))\/(sqrt(35)\/((sqrt(165)\/sqrt(3))\/sqrt(11)))*1)**2.\nAnswer: 217728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2003*i**3 - 997*i**3 - 1002*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/33)*o**10*(o*o*o**(1\/5))**(4\/11) assuming o is positive.\nAnswer: o**(1772\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*s**3 + 12*s**2 + 54*s - 6 wrt s?\nAnswer: 150*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11335 divided by -8\nAnswer: -11335\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6955 and 21935?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -0.08 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469 - 451. Is o > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 439215 and 846?\nAnswer: 2635290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = 4*d, 5*s + 88*d = 85*d - 14. Let t = -6.7 - -7. Sort -3, t, s in ascending order.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -131, -118, -41, 130, 425?\n\"Answer: 5*i**3 + 2*i**2 - 28*i - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 40 - 159 + 17*m + 36 + 42.\nAnswer: 17*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 291987*c + 583970.\nAnswer: (c + 2)*(c + 291985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22820806 to the nearest integer?\nAnswer: 4777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61508246 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -527*q + 508*q + 57. Solve -18 = -3*w - q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*g - 6 - 14, 4*g + 14 = n. Suppose -3*u + 72972 = h - n*u, -h = -4*u - 72974. Let b = h - 182966. What is b rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 26.\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3394, 31, 1, -1, -49, 2 in increasing order.\nAnswer: -3394, -49, -1, 1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-11))\/(u*u**(-2\/5)*u)*(u*u**(1\/3)\/u*u*u)\/(u**(-2\/5)\/u))**(-39))**(3\/8) assuming u is positive.\nAnswer: u**(2301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184.4 + -205. Let m = 21 + g. What is the second biggest value in m, 2, -2\/13, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6050)\/1650)\/((-231)\/6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (7 - 260\/32))\/((-11)\/(-132))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) -1\/10 (b) 5 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7 + 10 + 19 + z**3. Suppose 5*x - 2 = -0*x - n, -5*n + 10 = 2*x. What is the units digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 13.92\nAnswer: -0.5568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 + 10*s - 10. Let t(f) = -121*f + 1098. Let w be t(9). Calculate m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v - 88*v - 4*x = -19, -11 = -4*v - 3*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5385513 and 59\/33978.\nAnswer: 10771026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**5 - 5*c**4 - 11*c**3 - 9*c**2 - 4*c. Let b(z) = -6*z**5 + 25*z**4 + 56*z**3 + 46*z**2 + 21*z. Let y(j) = -6*b(j) - 33*v(j). Factor y(g).\nAnswer: 3*g*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + x = -2*z - 75, -1 = -4*z + 3*x - 86 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 + 2*j**3 + 0*j**3 + 0 + j**3 + 0 + (-2*j**3 - 3*j**3 + 4*j**3)*(1 - 6 + 3) + 0*j**3 + 0*j**3 - 2*j**3 + 44 + j**3 - 41 - 10*j + 3*j.\nAnswer: 9*j**3 - 7*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -186\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64031 (base 7) to base 5\nAnswer: 1001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a + 107*a - 250*a + 49*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2090 in -2, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v - 2399 + 24967 = 0. What is the least common multiple of v and 16?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250403, 500794, 751189, 1001588?\n\"Answer: 2*b**2 + 250385*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - -3*(2 + sqrt(2)) - ((sqrt(128))**2 + -3).\nAnswer: -119 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose 247 = n*l - 158. Suppose -s + l = 2*y, -3*s + 4*y = -24 - 209. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 5, 2, 622, -1 in decreasing order.\nAnswer: 622, 5, 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.71, 2\/5, 5\/4, 0.06 in increasing order.\nAnswer: -1.71, 0.06, 2\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3578 = -l, -10*l - 3560 = -11*l - 2*m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 8*k. Let l(m) = 41*m + 277. Let g = 220 + -227. Let c be l(g). Determine s(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 250189 - 80307 = 28*h. What is the highest common divisor of 174 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39c11 + -5?\nAnswer: 39c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337621?\nAnswer: 1337621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684424 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 12*x**2 + 3*x + 37. Let i be t(-12). Let y be i\/(-1)*4 - 2*-2. Put y, -8, 18 in decreasing order.\nAnswer: 18, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 580*k**3\/3 - 166*k**2 - 629*k. Differentiate d(u) with respect to u.\nAnswer: 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*u - 26. Let a be ((-27)\/(-6))\/(9\/12). What is the smallest common multiple of (4\/a)\/(3\/18) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13779741?\nAnswer: 3, 17, 270191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*7\/(-42))\/1*34\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*m = -1049, 3*y - 1430 = -m + 1673. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*g + 4*d, -g + 5*g = -d + 3. Solve 5*k = 7 - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 8, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y)**(2\/27)*y**(2\/17)\/y*y\/(y\/(y\/y**(-1)))*y assuming y is positive.\nAnswer: y**(4382\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 716*k - 4952. Calculate d(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017477 take away -0.3?\nAnswer: 0.317477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-192)*44)\/(1\/(4\/(-1))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 3*u)*(0*u + 5*u - 3*u) + (2*u + 2*u - 7*u)*(u - 6*u + 4*u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.022 + -27. Let w = -11.804 - -12. Let y = w - h. Round y to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*s**4 - 2*s + 2 - 82*s**4 - 4 - s**3 to x*s**2 + c*s**3 + k*s**4 + a*s + h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = -5. Let k(r) = -2*r - 53. Let h(z) = 2*z + 26. Let g(q) = 2*h(q) + k(q). Determine g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16493741*0.1\nAnswer: 1649374.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/(k**(-2\/5)\/k))**(-8) assuming k is positive.\nAnswer: k**(-376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-8))\/(1500\/(-750)*(-1)\/(-20))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17471 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -36*a - 98. Suppose 76 = -c + 42. What is the tens digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/2592 - -362317\/2592. Let t = 140 - u. Let g = 11.9 + -12. Which is the closest to -2\/11? (a) g (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.25 - 5436.75. Let k = o - -5461.9988. Let s = k - 4. Round s to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b. Let i(o) = 1094*o**2 + 13456. Calculate i(r(l)).\nAnswer: 9846*l**2 + 13456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14717637?\nAnswer: 3, 11, 148663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.17 (b) -17 (c) -3 (d) 1878 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -7*g**6\/120 - g**4\/24 - 5*g**2. What is the second derivative of b(j) wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*s + 4*n, 4*n + 0*n = 4*s - 28. What is the derivative of -10*b**2 + 11*b - s*b - 7 wrt b?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -53) + (0 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/15)\/((-2)\/(-100)). Let m = w + 24. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -7. Let x = 24 - 16. Suppose -4*n + 48 - x = 0. What is the least common multiple of t and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5027 * 19.8.\nAnswer: -99534.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wqqwwhdcwwdwdrqwdwcr?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 341 = 341. Put 46, w, -19 in decreasing order.\nAnswer: 46, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1709687 and 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + -1001?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585.4 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/227 - 1301\/3632. Let r = 53\/48 + d. Let j = -0.36 - -0.06. What is the second biggest value in r, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 + 6\/(-10). Calculate the common denominator of (-16)\/18 - 1\/3 and c - ((-177)\/(-10))\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 336, 506, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/6 + 9*z**2 + 2*z + 47. Let d(v) = 3857*v**2. What is d(t(m))?\nAnswer: 61712*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 39904 = 51*w. Let x = 2281 + w. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -43*g**2 - 10*g + 209. Let v(w) = -64*w**2 - 14*w + 314. Let k(d) = 5*v(d) - 7*z(d). Differentiate k(q) with respect to q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-16)\/((-56)\/(-7))))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1972.005 - 1973. What is m rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55006 + 2491 - 3*z + 52515.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4))\/x)\/(x**(-1)\/x))\/(x*x**(-1))**(1\/7) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let n = 62 - 151. Let l = n + 88.6. Which is the second smallest value? (a) l (b) t (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 615*z + 11 + 1 - 611*z + 158*z**2.\nAnswer: 158*z**2 + 4*z + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22813.38 - 7.93\nAnswer: -22821.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100656\/41940*170*4\/12?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 0*v**4 + 99 + 0*v - 8\/39*v**3 + 0*v**2 + 2\/65*v**5. Factor o(h).\nAnswer: 2*h**2*(h - 2)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 6*k**2 + 9. Let n(i) = -2*i**2. What is y(n(j))?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40103 (base 6) to base 9.\nAnswer: 7143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -57924596.835.\nAnswer: -57924596.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6803590 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 33 = 5*l, -2*l = -c + 5*c + 42. Let r be 34\/(-8) + (-2)\/c. Sort -0.3, -2, r in descending order.\nAnswer: -0.3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 - 18\/(-12)*(-16)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/8)\/(o**0\/o*o))**(-11))**(-22) assuming o is positive.\nAnswer: o**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/4, 0.3, -2\/7, 0.4, -2, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100111001001101110 - 0?\nAnswer: -1001100111001001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14 and -29\/1226.\nAnswer: 8582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319063, 319068, 319085, 319120, 319179?\nAnswer: 319268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*i = -563*i - 19113 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c + 1968 = 0. Let o be -1766 + 1\/(-3)*-12. Let t = o + c. What is t rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.3. Let p(g) = g**3 - 3*g**2 - g + 2. Let h be p(3). What is the closest to -1\/4 in c, h, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10527045500 rounded to the nearest 1000000?\nAnswer: -10527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5660899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118400000 rounded to the nearest 1000000?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4881*j**2 - 4835*j**2 - 118 + 118 - 2*j**3.\nAnswer: -2*j**3 + 46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*v - 18, 3*z + 5*v + 3 = -15. Let y(a) = 40*a + 68. Let l(x) = 9*x + 16. Let u(d) = 9*l(d) - 2*y(d). Calculate u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 143 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 278, 462, 768, 1196, 1746, 2418, 3212?\n\"Answer: 61*h**2 + h + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/318201 and 61\/768996?\nAnswer: 1989392652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2212086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 116438 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, x: 1, l: 2, y: 2}. What is prob of sequence xn?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2 - 4) - 14. Let g be (-86)\/42*-3 + (z - -17). Factor -2\/7*d**2 - 6\/7 - g*d.\nAnswer: -2*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -30f?\nAnswer: -30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(44))*-4 + 2 + -2*sqrt(11) + -5 + -5).\nAnswer: 36 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 8*u**2 - 9*u - 7. Let c be f(-7). Suppose -46 = -8*w + c*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i + 2*i**3)*(-4*i + 2*i + i) + i**4 - i**3 + 22*i**3 - 2*i**3 in the form x*i + h*i**3 + p*i**2 + c*i**4 + v and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = c - 15, c = -2*t + 22 + 8. Calculate the greatest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 8*c - 8. Let m be (-44)\/5 + 92\/115. Let x(g) = -g**2 - 7*g + 18. Let o be x(m). Let u be w(o). Which is greater: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.2 - 17. Which is the smallest value? (a) 0.1 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 - 2*o - 1. Let l be t(-1). Let a(p) = 10 + l - 23 + p. Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/8 - (3\/18 - (-28)\/84). Solve q + 3*a = 5*a - 8, n = 5*q + 4*a - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/10*z**6 - 3\/10*z**2 + 0*z - 32 + 0*z**3 + 3\/10*z**4 + 0*z**5. Factor l(w).\nAnswer: -3*w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2888\/(-1218) - -2). Let q = -5\/87 - s. Which is the nearest to 0.1? (a) 5 (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 39092*q\/7 + 191023058\/7.\nAnswer: 2*(q + 9773)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487870338 to the power of 1\/4, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(-9)\/6. Let t be -4*(-3 - s - -1). Let b = -225 - -227. Solve b = t*r - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15*(-8)\/36)\/4. Which is the third smallest value? (a) -2\/5 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - (39916\/(-2448) - (-4)\/(-9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-480)*-6*24\/6*(-228)\/(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1507\/23901 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -6*m + 3*m. Suppose -4*i = -218 - m. What is the greatest common factor of 34 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396495 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859419*d - 859419*d - 8*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m**2 - 2*m - 2. Let s(n) = -9*n**2 + n + 1. Let l(a) = a + 6. Let v be l(5). Let t(p) = v*s(p) + 6*d(p). Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v. Suppose 5*l + 11 + 4 = v, 0 = -4*z + 3*l + 13. Solve z = -b - 1, -3*r + 2 = -4*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -33902.32.\nAnswer: 1084874.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 34 = -0*c + 4*c, 0 = -5*c - 4*b + 47. Suppose 2 = y, 4*x + 3*y - c*y - 16 = 0. Does 9 divide x\/30 - 179\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z + 32 = 0. Let a be (-2)\/z*(3 - 2). Factor 0*i - a*i**5 + 0 + 1\/4*i**4 + 0*i**3 + 0*i**2.\nAnswer: -i**4*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*((2 + 7 - 4)*(-3 + 3 - 2) + 1 + 0 + 3).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71532 divided by -4\nAnswer: -17883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26452 is divided by 434?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1147327.37 to the nearest ten thousand.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 3*s. Suppose -3*w + 5*r = -29, 3*w + w - 5*r - 47 = 0. Suppose -12 - w = -2*p. Suppose 4*q + q = -p. What is a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -9) + 8 - 26.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -41. Suppose -w*y = -12*y + 1440. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (348\/(-203))\/((-85)\/(-7)). Is -1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 75. Let a(b) = 175*b**v - 348*b**2 + 172*b**2. Let y(g) = 5*g**2. Give a(y(q)).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27000325*l**4 - 13879182*l - 1 wrt l?\nAnswer: -324003900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -556 - -362. Let r = v + 193.99834. What is r rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12a14 (base 14) to base 13\nAnswer: 17b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108026 + 57*j**2 - 35995 - 36040 - 2*j - 36035 - 16*j**3 wrt j.\nAnswer: -96*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * -5830.07\nAnswer: -2157.1259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2173093\/2 and 1086548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 20. Let c be n(8). Let b be (c\/(-21))\/(1\/7). Calculate the highest common divisor of b and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 10*r + 10. Let m be z(-10). Let y(b) be the first derivative of b**2\/2 - 7*b - 23. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.076? (a) 0.6 (b) 53\/4 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 84*w + 197. Determine i(86).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0542 times 0.4?\nAnswer: -0.02168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -178043349 > -178043348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 4*c + 3*c)*(0*c + 2*c + c + (-2 - 3 + 6)*(5*c - 2*c - c))*(-1 + c**2 + 1) to n + z*c + p*c**2 + l*c**4 + d*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002857549 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 8*z**2 + 12*z - 19. Determine y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 8, n: 6, f: 1}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003679271994 to five decimal places.\nAnswer: -0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -36*k**2 + 1. Let a be i(1). Let s be 1036002\/(-7) + (-10)\/a. Round s to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**7)\/h**(-4)*(h*h\/(h\/h**8*h*h*h))\/h**2)\/(h**(-1\/8)\/h**1*(h\/h**(-4))\/(((h\/h**0)\/h)\/h)) assuming h is positive.\nAnswer: h**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695\/226 greater than or equal to 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -24. Let w(s) be the third derivative of s**4\/4 + 35*s**3\/6 + 34*s**2. What is the tens digit of w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34080)\/54 + (-4)\/6. Suppose -6*j = 3*c - 5*j + 1892, 4*j + 638 = -c. Let g = p - c. Which is bigger: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.2, 27, 1, 0.1 in increasing order.\nAnswer: -0.2, 0.1, 1, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:01 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 11504, 1\/10, 0 in descending order.\nAnswer: 11504, 1\/10, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a factor of 83055758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -60. Suppose o*s + d - 5 = 0, s - 4*d - 10 = -6*d. Solve 3*q - 5*f + 6 = s, -q - 1 = 5*f + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 - 157636*g**2 - 4569762*g = 0.\nAnswer: -78789, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-3 - -1) + 255. Suppose 71 = w - m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 340*s - 535*s - 581*s.\nAnswer: -776*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 3*o**4 - 43 + 92 + 11*o - 33 - 10*o as l*o**4 + n*o**3 + r + m*o + h*o**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 14 = 2. Suppose 13 = -5*m - t, 2*t = 2*m - 0 - 2. Suppose 4*u - 23 - 46 = 2*k - 133, 0 = 4*k - 48. Sort d, 1, m, u in increasing order.\nAnswer: u, d, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 - 2. Let v be 3 - ((-232)\/(-60) + h). Let j = 4 - 4.1. Which is the smallest value? (a) 4\/3 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -69 + 6 - (-15 - -13)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 2*i, -v + 3*i = 10. Let q = v + -7. Let k be (-4)\/q - (0 + -2). Solve 0 = k*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206938 is divided by 103284?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*k + 38*k - 96*k.\nAnswer: -153*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.036907 seconds to days.\nAnswer: 0.0000235753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/48768 and 31\/10968.\nAnswer: 22286976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6 - (2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9391.\nAnswer: 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*j**2 - 3 + 1 - 6*j**2.\nAnswer: -243*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2. Suppose 4 = -4*k + 3*z - 0*z, -3*z = -3*k - 6. Let g(s) = -3*s**2 - s**2 + s**k. Determine m(g(j)).\nAnswer: -45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162343 + -162299. Suppose 2*h = -5*a + 4*h + 77, -56 = -4*a + 3*h. Let o = a + -11. What is the lowest common multiple of v and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118 - -2?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**5 + 17*c**2 + 4*c - 4. Let j(i) = 4*i**5 + 16*i**2 + 5*i - 5. Let a(g) = -4*j(g) + 5*z(g). What is the third derivative of a(y) wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2939 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-1)\/(6670\/(-116))).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -7. Let o(m) = -13*m**3 + 2*m**2 - 2*m + 1. Let t be o(i). Round t to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d69c (base 15) to base 16.\nAnswer: b13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 58 - 57 - 25*n**3.\nAnswer: -23*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166525354*x**4 + 8506865*x.\nAnswer: -1998304248*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -519*j - 70583. Give v(-136).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeexxxexxxx. Give prob of picking 4 x.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.99 in 0.4, 2, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -2*g + 4*g, -5*b + 3*g = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-186)\/(-4)*(0 - (2 - -2)). Let y = 2420\/13 + q. What is the second smallest value in -4, -0.4, y, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1708257 - -9?\nAnswer: 1708264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3996121 and 1099.\nAnswer: 27972847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -12. Which is the closest to o? (a) 1\/3 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 857 and -590.8.\nAnswer: -506315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*z + 31 = 36, 3*a + 4*z = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 11 + 11 + (-1 + 1 + u)*(-3*u + u + 0*u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6453914\nAnswer: -3\/6453914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {h: 1, c: 5, s: 3}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14231 and 5.\nAnswer: -71155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(16)\/sqrt(200))**2.\nAnswer: 2*sqrt(2) + 627\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.57 + -8.67. Which is the closest to y? (a) 2\/123 (b) 0.1 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - -84 - (4 + -3 + 0 + 11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1482 and -81\/1644526?\nAnswer: 4933578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) 0.2 (c) 822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q + 4*o + 19, 2*o = -4*q + 4. Let r = 827\/11 + -75. Put q, r, -5, 0.2 in descending order.\nAnswer: q, 0.2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.822585471 to two dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3560 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 63 = 3*j, 5*j = -184071*c + 184055*c + 420 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11)*(-1198)\/8 + 3. Let d = 162\/11 - t. Calculate the common denominator of -65\/14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1469917 divided by -2\nAnswer: -1469917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8633, -34484, -77595, -137960, -215573, -310428?\nAnswer: -422519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -311391, -622769, -934135, -1245489, -1556831, -1868161?\n\"Answer: 6*l**2 - 311396*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*p = 47, 2*b - 16 = p + 21. Solve -10 = -13*t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 158 = 3*f, 2*f - m + 6*m = 111. Suppose 4*y = -a + 40, y + f = -2*a + 4*a. Calculate the least common multiple of 14 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -2\/7 (c) 723399 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l + 224 = 64*l. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 12. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59354647*m**2 + 4095598 wrt m.\nAnswer: -118709294*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9855172651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 29 = -2*b + 5*s, -4*b + 32 = 5*s. Suppose 6*y - 3*y - 58 = 4*t, -y = -b*t - 21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -522 + 525. What is the nearest to -3 in -0.3, y, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i = -0*i + 658 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87004 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h + 16*h + 19*h. Let x(p) = -2*p. Calculate w(x(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/7, -1172, 1.3, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 - 13*r**2 - 2*r + 11. Let h be k(4). Suppose 0 = -v - 3*v + 2*x - 14, -x = -3*v - 9. Let z be v\/(-6) + 28\/(-3). Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v. Let a be g(-9). Suppose 5*f - 24 = -3*b - 9, a = 2*b. Let n(k) = -4*k - k**2 + k + 0*k - 1 + k**3. What is n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 + 11052*z + 15268338 = 0.\nAnswer: -2763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = 5*h, -10 + 32 = 3*h + 2*u. Solve q - 15 = -h*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 3*m**2 - 3*m - 3. Suppose u + 4*u = 10. Let a(y) = 4*y**3 - y**2 - 2 + 2*y + 4 + 0*y**3 - y**2. What is u*f(h) + 3*a(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -5*28\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5395488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-66)*9*7\/(-210). Let i = 2 + -3. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/495 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 15\/2 (c) -0.01 (d) -3 (e) 1\/40 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q**3 + 60*q**2 + 49*q + 6. Let x(v) be the third derivative of v**4\/24 - v**3\/6 + 3*v**2. Let u(d) = -t(d) + 4*x(d). Factor u(n).\nAnswer: -5*(n + 2)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11256613.\nAnswer: 11256613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: (2 - 14\/10)*(7 + (-3728)\/528)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1766*w - 1741*w + 3538*w.\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-126)\/(-2212)*((-51)\/45 + 0) and -25\/6.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 266487?\nAnswer: 266487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 40 = 15. Suppose -6*y + w = -y. Solve 2*q - 5 = -3*q + y*h, 2*q + 10 = -2*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.1, -1\/9, -7, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93557568.\nAnswer: 2, 3, 13, 37483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*n**2 - 5*n**2 + n - 3*n**3 - 3 - 15*n**4 + 6*n**2 + 0*n**2 as q + g*n**3 + o*n**4 + y*n**2 + h*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qczel. Give prob of picking 1 c, 1 e, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5495 divided by 7\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101101111010 (base 2) in base 5?\nAnswer: 4030003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 5. Is 9 a factor of -1*w*15\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 10:50 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from lcoioizzn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -16.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/20 - (-9)\/4. Suppose -5*q = -t*z - 61, -10 = 4*z + 3*q + 47. Which is greater: z or -19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-14))\/(1 - 4). Which is the closest to l? (a) 0 (b) 0.3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67888276 by -17.\nAnswer: 3993428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4206437 - 16*o**2 - 4206437. Let v(w) be the second derivative of 7*w**3\/3 - w. Give q(v(k)).\nAnswer: -3136*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = 2*z, -2*z - 2*z = 2*r - 26. Suppose -r*l - l = -16. Solve 3*f - 2*p + 9 = 0, 14 = -l*f + 2*p - 0*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 5, -1094, -4\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 11*p + 11*p - 15 - p**2 - 6*p. Suppose 1 - 11 = q. What are the prime factors of i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2 + 18. Suppose 5*d = 3*z - 40, -3*d + 3*z - 4*z = c. Put 4, -3, d, 0 in increasing order.\nAnswer: d, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.008 in -11\/3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 9)*(-b + 2*b - 3*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - k = 9, -u + 5*k + 33 = u. Suppose -4*o + 39 = -v, v = -4*o + u*v + 29. Let n(j) = j - 2. Calculate the remainder when o is divided by n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6*770\/(-3)*(-9 - -18). Calculate the highest common divisor of o and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*i + 378*i = 476 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 55eb (base 15) to base 11\nAnswer: 12765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 2*n + 51 = 4*l, 2*l + 42 = 2*n + 58 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 12, 5133, 2, -4 in descending order.\nAnswer: 5133, 42, 12, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 3098?\nAnswer: 176586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 12, 9, 4, -2 in descending order.\nAnswer: 12, 9, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 433720461 to the power of 1\/3, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96245075?\nAnswer: 5, 17, 433, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/20 and -103\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6773754542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 40?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from equrucemmeeq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 + -2.149. Let y = -1.6 - t. Sort 2\/3, y, -0.5.\nAnswer: -0.5, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/12)\/((-5)\/45). Let l be 39\/35 - i\/(45\/6). Suppose 0 = -k + 4*k. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*c + 1 - 5*c + 2*c + c + (-4 - 3 + 5)*(4*c + c - 4*c))*(5 - 4 + 3)*(0*c**3 + 3*c**3 - 4*c**3).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 475 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -331*d. Let c(i) = -i. What is c(x(t))?\nAnswer: 331*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 3*j + 3. Suppose -3*h + 3 + 3 = 0. Let a be i(h). Suppose -5*u = -4*u - a. What is the greatest common factor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167837286 or 167837290?\nAnswer: 167837286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(4\/7)))\/((z**1*z*z)\/z))\/(z**1*z)**45 assuming z is positive.\nAnswer: z**(-648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + sqrt(2)) + sqrt(2) - sqrt(10)\/(sqrt(5) + sqrt(320))) + (sqrt(240)\/sqrt(90))\/(1*(-2*sqrt(12) - sqrt(12))).\nAnswer: -16 + 43*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(0*i**4 - 2*i**4 + i**4) + (i - i + 2*i**3)*(3*i + 10*i + 8658 - 8630) as c*i**2 + r*i**4 + g*i**3 + a*i + s and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n = 58*n - 3. Suppose -n*t + 25 = 16. Solve 3*o + t = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + h + 4275, 3*h - 5 - 10 = 0. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 13571481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876517613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1976 = -22*y - 1954. Sort y, -7, 12, 2, -6.\nAnswer: -7, -6, y, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zatozzozozoootzooaa. Give prob of picking 2 a and 2 o.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98385348*o**3 + 2051*o**2 - 2*o - 12309 wrt o.\nAnswer: 590312088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*k**3 - 20*c**2*n - c*n**3 + 2*k**3*n**3 - 3*k**2*n**3 - 6*n**2 wrt c.\nAnswer: 4*c*k**3 - 40*c*n - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4611 and -3.4?\nAnswer: 4607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 113580*u**3 - 4*u**2 - 2*u - 18. Let o be p(3). Round o to the nearest 10000.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-4) - ((-198)\/(-24))\/11. Suppose 2*f + d = -d + 30, -2*f - t*d + 27 = 0. Calculate the remainder when 26 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -136e (base 15) to base 5\nAnswer: -113104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + 0 + 7 + (-4 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*y**2 - 17*n**2*y - 210*n*y - y**2 wrt n?\nAnswer: 4*y**2 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*t - 3*z, -t + 100 = 4*t + 5*z. Let n = t - 12. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1132 - 421051?\nAnswer: -422213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1576 - 84*o - 1576)*(0 - 1 + 0) + (-6 + 2 + 2)*(-o - 3*o + 2*o) + 4*o - o - o + 3 - 3 + o + 1 + 2*o - 1 as c*o + n and give c.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -58*p - 1003. Let i(c) = 93*c + 1504. Give 8*a(l) + 5*i(l).\nAnswer: l - 504","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -875, -2005, -3641, -5813?\nAnswer: -8551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-75)*(8 - 3). Suppose m*v**3 - 4\/5*v + 6\/5*v**2 + 2\/5*v**5 - 6\/5*v**4 + 0 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -263\/8. Let u = -0.17 - 0.83. What is the second biggest value in u, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssessssseesssssssses. Give prob of sequence ss.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 637\/63 + 2\/(-18). Suppose -9*j + s = -4*j. Suppose 5*k - 23 = j. Let v(h) = -h**3 + 5*h**2 + 3*h - 6. Give v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 96*o**2 + 96*o - 91. What is j(-49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23167\/18 - -3860\/3. What is the common denominator of h and -9\/374?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/10 - 78\/(-195). What is the second derivative of 449*f - 460*f + 13*f**3 + 1 - f**2 - 103*f**c wrt f?\nAnswer: -540*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 3 + (sqrt(98) - (sqrt(98) + 0 + sqrt(98) + sqrt(98) + 3 - sqrt(98)))*6*-3 + -5))**2.\nAnswer: 221760*sqrt(2) + 556432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1419 (c) -0.08 (d) 0.92 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -17603?\nAnswer: -99\/17603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p - 48. Let b(n) = -n + 5. Determine b(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*k - 2 = -0*r, -r + 3*k = -10. Let j = 16 + r. Solve -2 = -h - a, -5*a + 0*a + j = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-1)*243\/2. Let j = -310 - a. Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*c + 999547, 3*c + 5*p + 300851 = 900561. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436120.\nAnswer: 2, 5, 7, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 + 10*h + 13. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 340132 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -810629*i**3 + i**2*j + 2*i*j - i + 1093*j - 11 wrt i.\nAnswer: -4863774*i + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9275*a + 9271*a + 24*b - 32*b + 72 = 0, 4*b = 2*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 317767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 43\/5, 3\/2 in decreasing order.\nAnswer: 43\/5, 3\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.48 - 9.479998506. What is h rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23.453 and -8352658.\nAnswer: -8352634.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 17*j**2 + j - 36. Calculate u(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let o(b) = b - 2397175. Calculate o(f(s)).\nAnswer: 3*s - 2397175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose -5*g - 217 = -2*r, 0 = r - 3*g - 109 + s. Let j = 10 + 1. Calculate the greatest common factor of j and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 23. Let d(n) = n + 23. Let l(r) = 3*d(r) - 2*z(r). Let w = 993 - 982. Let o be l(w). What is the greatest common divisor of o and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*t + 24, 2*t - 21 - 1 = 5*p. Let o(u) = -5*u**3 + 4*u**2 + 3*u. Let k be o(-2). Let v = k - t. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*h + 26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let w(n) = -8*n**3 - 16*n + 1. Let f(g) = -7*g**3 + g**2 - 15*g + 2. Let d(a) = 7*f(a) - 6*w(a). Let o be d(5). Solve -b*p + 1 = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3403*m = 2476*m + 54693 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {l: 3, c: 1, n: 2, g: 1, e: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -66 (b) 3 (c) 1 (d) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 15*z - 2. Let f be r(17). Let h(d) = 56*d**3 + 32*d - 32. Suppose -3*y + 48 = 57. Let c(g) = 5*g**3 + 3*g - 3. Give f*c(a) + y*h(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 7*i**2 + 8*i + 6. Let w be l(-8). What is the greatest common factor of w and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679 = -60*f + 439. Which is the smallest value? (a) f (b) -7 (c) -54 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.88 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.22 + 5246975013.54.\nAnswer: 5246975021.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 2*i - 1. Let v be w(6). Suppose -25*q + 5 = -20*q. Let p = q + v. Calculate the smallest common multiple of 20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - 42. Let t(w) = -3*w**2 + 16*w - 3. Let z be t(5). Suppose z*h + h = k. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40540000 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:32 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(28)\/sqrt(4) - sqrt(7)) + 0) - ((sqrt(28) - (0 + sqrt(28) - sqrt(28))) + sqrt(784)\/sqrt(7)) - (2*sqrt(567))\/(sqrt(567)\/sqrt(7)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22\/3, 5, -2\/11, -3, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.015 + 6.185. Let u = i + 3.8. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298 + -178. Let j be (1\/(10\/(-12)))\/((-48)\/w). Suppose -2*i - j*i = -2*b - 146, 58 = 2*i - b. What is the highest common factor of i and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56591942 or 1?\nAnswer: 56591942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p**2. Let z = 16 + 5. Let l(q) = z*q + 22*q - 46*q. Give l(r(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -452516?\nAnswer: -452516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 33 = 8794*l - 8800*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i**2 + 4*i + 2*i**2 + (6*i + 0*i - 4*i)*(2 - i - 2))*(-5 + 5 + i)*(80*i + 7 - 10*i - 45*i).\nAnswer: -100*i**4 + 97*i**3 + 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**4 + u**4 + (2*u - 4*u - u)*(-2*u**3 + 0*u**3 + 0*u**3).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*w. Solve w = -3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 33.2, 110, 2\/7, -0.04, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12334 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 16, 1\/7, -0.02, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 1, c: 3}. Give prob of sequence rcc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -125, -148, -129, -56?\n\"Answer: 2*s**3 + 3*s**2 - 76*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j**4 + 519*j**3 - 1236*j**2 - 396*j = 0 for j.\nAnswer: -2\/7, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 4*b**4 - b**4)*(-10 + 73 + 14 + 55).\nAnswer: -528*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 50*y. Which is the closest to y? (a) -2 (b) -13.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4245695.1 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**37\/(s*(s*s*s*s*s*s**1*s*s)\/s)**(-32\/5) assuming s is positive.\nAnswer: s**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/60 - 11*h**4\/24 - 5*h**3\/6 - 2*h**2. Calculate the remainder when (-12120)\/(-252) + 2\/(-21) is divided by f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijxttww. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512256630?\nAnswer: 2, 3, 5, 1487, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*i - 273*i + 46 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.515018 minutes to days.\nAnswer: 0.0489687625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000159456 rounded to six dps?\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-44))\/((-1)\/12*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -233.99?\nAnswer: -233.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-219)\/(-108))\/(6\/(-4) + 0). Let q be (-3)\/162 + 0 - 0. Let d = x - q. Which is the nearest to 2\/5? (a) 4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.5 + 38.5. Let a be 1*2 - 24\/11. What is the biggest value in a, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 33*o - 94 = 2*i, -5*o + 122 = -4*i. Solve -2*m + d = -2*d - o, -5*m + 4*d + 41 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-29)*m*m\/m**11*m*(m\/m**(-2\/47))\/m**25 assuming m is positive.\nAnswer: m**(-2818\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/147? (a) 5 (b) -3 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2968425 and 272210.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 53*r**2 + 29*r**2 - r + 26*r**2.\nAnswer: 2*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**3 + 6*t + 13. Let m be z(-3). Let l = -19276\/81 + m. Sort l, -3, -3\/2.\nAnswer: -3, -3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4 - 23226*f**3 - 1823112*f**2 - 8535160*f = 0. What is f?\nAnswer: -11534, -74, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681471 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 130380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 3. Let j be f(-4). Suppose -6 = -x + 4*x. Let k(d) = d**3 - 16*d**2 - 5*d + 296. Let z be k(15). Put x, z, j in descending order.\nAnswer: x, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from {g: 1, n: 2, o: 1, t: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -50553545 (base 6) to base 9\nAnswer: -2643352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (14 + 80 + (40 - -4))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116871*k**2 + 117459*k?\nAnswer: -233742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8950479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 8846*m**4\/9 - 2627266*m**3\/9 - 1759958*m**2\/3 - 2642566*m\/9 + 1196\/9 = 0.\nAnswer: -1, 2\/4423, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3.2. Let g = f + -0.4. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24537 and 396.\nAnswer: 3238884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3 + 136*b - 8 - 140*b.\nAnswer: -4*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146816 or -146810?\nAnswer: -146810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 226, 3.3, 112, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Suppose -3*b - 8 = 2*j, -5*j + 3 = 3*b + f. Which is greater: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s + 3, 9 = 4*w - s. Suppose -263*m = -283*m + 100. Suppose 8*f + 0 = 16. Solve 0 = -4*j + w*l + 2, -f*j - 3*j = -m*l + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose j*s = h + 19, -2*h - 10 = -s - 0*h. Is (10\/s)\/(2\/188) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y\/(y*y*(((y*y**1*y)\/y)\/y*y)\/y)*y*y))\/y))\/(y**(-1\/8)*y)*y\/y**(-5)*y\/y**(2\/19)*y\/((y\/y**6*y)\/y)*y*y*y\/y**1*y**5\/y**6 assuming y is positive.\nAnswer: y**(2283\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2297, -8087, -17369, -30143, -46409, -66167?\nAnswer: -89417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - 6*k + 4. Let z(j) = -j**3 - 6*j**2 - 7*j + 4. Determine 6*t(b) - 5*z(b).\nAnswer: -b**3 - b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -3 (b) 0 (c) -7409 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 69 - 60 = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13187929 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -411*b - 8126. Does 8 divide w(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Suppose -p + 127 = 4*q, 0 = 5*q + 2*p - 0*p - 158. Suppose -2*f + 0*f = 6, 19 = 2*u + 5*f. What is the remainder when q is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1194 + 938. Suppose 0 = 18*g - 32*g - 3598. Which is bigger: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -23\/2*s**2 - 34\/3*s**3 - 6*s**4 - 8\/5*s**5 - 6*s - 1\/6*s**6 + 19. Factor o(q).\nAnswer: -(q + 1)**3*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 30585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580 + 2*r**3 - 3*r**3 - 574 - 826.\nAnswer: -r**3 - 820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9962 is divided by 3314?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 17136?\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**3 + 4*p**2 + 135*p - 409. Determine h(3).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7, z: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 3*a = -7*i - 45, -5*i = a - 59 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/13, -93\/17, 2\/39, -2\/9 in ascending order.\nAnswer: -93\/17, -2\/9, -2\/13, 2\/39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 32113936 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m\/(m\/(m*m**1)))\/(m**(1\/4)\/m)**(-3\/43) assuming m is positive.\nAnswer: m**(-181\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2655377478 and -1?\nAnswer: 2655377479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -112587741 to the nearest 10000.\nAnswer: -112590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -0.02. Let b = q + -0.36. Let p(h) = -h**3 - h**2 + h + 2. Let f be p(0). What is the biggest value in b, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + -22 + 26. Solve -3*o + d*c - 5 = -8*o, 4*o - 5*c = -37 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 + 2)*(-2*g + 5*g - g).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/8 - 2)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from ddwdwuuuwwdwuuwddwd?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 9*h - 10. Let n be i(7). Suppose p - 4*o - 1218 = -n*p, 0 = -5*p + 3*o + 1221. Let a = -138 + p. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -756, -1833, -3374?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(468)*-1 + -4)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1164*v + 171093. Give c(-147).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/78 - 21\/99. What is the closest to -2 in 1\/2, s, 3, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.4 + 32. Let q = -0.4 - o. Which is the third biggest value? (a) 0.2 (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8.7, -4\/3, -3\/7, -4, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -178350 divided by -1450\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*i**2 - i*q**2 - 5*i*q - 136*q**2 - 1 wrt i.\nAnswer: -308*i - q**2 - 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + 112\/(-24). Let x(f) = -f**2 - 4*f + 7. Let s be x(w). Solve 6 + 8 = -2*l + 2*c, s*l - 3*c = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 3 = 0. Let g(d) = -96*d - 383. Let q be g(-4). What is the greatest common factor of q and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338 and 16.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.638 + 17.538. What is the third biggest value in 25, -50, r?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10062 is divided by 1607?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -34*w - 9. Let n be h(-7). Let c = n - 163. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 + 376.4. What is f rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0034*214.8\nAnswer: 0.73032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 494 = -451. Let c be 3 + -1 - 2 - -40. Suppose 5*f + 2*w - 65 = 0, -3*f + 15 = -2*w - c. Calculate the highest common factor of f and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.36668 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 2. Suppose 2*n - 8 = -0*n. Let v = n - 2. Solve -3*x - 5 = -s, 4*x - v - f = 4*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let t(n) be the third derivative of -n**4\/6 - n**3\/6 - 3*n**2 - 1. Calculate t(j(h)).\nAnswer: -8*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 14*m**3 + 15*m**2 - 13*m - 3. Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/8)*t)\/t**(-3\/5)*t**(1\/4)\/t*(t\/t**2)\/t)**(-5\/3) assuming t is positive.\nAnswer: t**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 2*i - 2. Let n = -11 - -8. Let y = n - 0. Is u(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adddddrdaddddadddddd. What is prob of sequence rdd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 13. Let p be y(9). Suppose -16 = -5*q - b, -p*q + 2*b + 9 = -4. Solve 0 = 4*c - 2*m, 0*c - q*m + 3 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21081991.\nAnswer: 7, 47, 139, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32977 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172319070 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327151636 to the power of 1\/2, to the nearest integer?\nAnswer: 18087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 7*g**2 + 6*g + 14. Let u(m) = -m**3 + 10*m**2 + 2*m - 12. Let h be u(10). Let r be o(h). Let a = 1081 + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95745641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 3*a**5 + 4*a**5 + (-16*a**3 + 24*a**3 + 19*a**3)*(a + 3*a**2 - a).\nAnswer: 85*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/97 and 17\/140.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18045 = -37*n + 590*n + 4265 + 16400 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 12. Let o(v) = -4*v + 12. Let p(u) = 6*o(u) - 5*t(u). Let x be p(-12). Suppose -2*k = 3*k - 10. Solve x - 2 = k*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 + 12*k - 19. Does 21 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, 31, -1 in decreasing order.\nAnswer: 31, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 150dc40?\nAnswer: 150dc3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9118 >= 18237\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 120 = -23*n + 504. Solve 0 = -6*v + 17 + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 10764?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s - 2. Let v be o(-1). Suppose -9*c = -4*h - 4*c - v, -2*h - 8 = -4*c. Suppose 16 - 56 = 5*m. Sort 2, m, h.\nAnswer: m, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107698279 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 - 4*s - 5. Let g be i(4). Let n = -89 + g. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2320428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -9. Is -2 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Let b = -2 - -4. Suppose 7*d + g*s + b = 2*d, 9 = 3*d - s. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 1.6. Suppose -r + 6*t - 4 = 3*t, -t - 8 = 2*r. Let k be (2 + 0 + r)\/1. What is the closest to 0 in -2\/11, o, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 30.\nAnswer: -74\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -326*i**3 + 2 + 1448*i**3 + 2*i - 352*i**3 as l*i**3 + k*i + t + h*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + (-13 - 41 - -12 - -16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 23\/4, 3, -108 in descending order.\nAnswer: 23\/4, 3, -2\/7, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 271*h**3 + 2*h + 0*h + 6*h**2. Let g be t(-5). Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*s + 795*s - 89*s - 72*s - 101*s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b = 310 - 310 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 11. Let t = z - -33. What is the nearest to t in -1\/4, 1, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -3, -66.406, -1\/2, 0?\nAnswer: -66.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1730, 3458, 5182, 6902, 8618, 10330?\n\"Answer: -2*v**2 + 1734*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s - 64. Give n(-41).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 - 23*p + 19. Give b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/13*9342\/(-32697)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-66 + 25 - -27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1 + 22*m + 5 - 1 + 0. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6150 and 289950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 2. Let b be j(3). Let k be ((-2)\/4)\/(2\/b). Let q = k - 3. Solve 7*o - q*o - 27 = z, -2*o = 4*z - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 6*j + 5. Let h be v(5). Suppose h = -z + 2*z + a - 15, -2*z - 4*a = -28. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37.6 in -0.01, 0.016, 5, -1\/2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let a be ((-5)\/x - -3)*2. Let u(v) = -10*v**3 - v**2 + v - 1. What is u(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 91 - 44 + 2776*c - 2769*c.\nAnswer: 7*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i - 60*i - 18 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 501*r**5 - 3*r**4 - 137*r**2 - 12. Let i(j) = 358*j**5 - 2*j**4 - 98*j**2 - 9. Let s(a) = 17*i(a) - 12*y(a). Find the third derivative of s(x) wrt x.\nAnswer: 4440*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoaayaoadzocy. Give prob of picking 1 a, 1 y, 1 d, and 1 o.\nAnswer: 64\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -337, -2 in ascending order.\nAnswer: -337, -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -33*q + 386. Let z be l(9). Solve 78*x - 11 = z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 - -173. Suppose -2*b + 8 = -0*b. Suppose -j = -3*n - c, c = 5*n + b*c - 85. Calculate the highest common factor of 85 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*a**2 - 336*a**2 - 56725*a**3.\nAnswer: -56725*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -74. Let g(j) = 2*j**2 - 9*j + 4. Calculate the remainder when g(d) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*r - 206*r + 3*d - 6, -8*r - 24 = 3*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(367632\/(-74))*-3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 24. Let y be c(11). Solve -3*t - 15 = y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34361645 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 18*y - 15. Let o be x(-19). Suppose -7*j - 2*d + 2 = -3*j, 0 = j + d + 1. Solve -3*v + 5*h = 2*v - 15, 0 = -j*v - o*h - 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 1, z: 4, k: 2, l: 1}. Give prob of picking 2 k and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -893\/772 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 11*m**2 - 7*m - 9. Let v be z(12). Let l be v + -19 + (1 - 3). Let q be ((-27810)\/3)\/(9\/l). What is q rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4 - 1 - 2*f - f + 3 - 3 + 4 - f - 4 + (2*f + 4*f - 5*f)*(0 + 1 - 2) + (-4 + 3 - 1)*(2075*f + 1726*f - 992*f).\nAnswer: -5623*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -181, -358, -711, -1300, -2185, -3426?\n\"Answer: -10*z**3 + 2*z**2 + 3*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 45, -5, -0.2, -2\/3 in descending order.\nAnswer: 45, 2, -0.2, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**4 - 6 + 0*v**3 - 25\/2*v**2 + 0*v + 0*v**5 + v**6. Find the second derivative of w(h) wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2734 + 4?\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/15540 and 25\/610611.\nAnswer: 85485540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*13)\/((-140)\/28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27986279 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a1 - -a918?\nAnswer: b1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 + 0*u**2 - 3*u**2)*(-52*u**2 + 901*u**2 + 86*u**2 + 1032*u**2) as r*u + g*u**4 + i*u**2 + w*u**3 + p and give g.\nAnswer: 3934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -55 + 16. Suppose 3*v - 5*o = -k, -v - 3*o = -4*o + 1. Solve v*n = 3*f - 11, f + 23 = -n - 3*n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127328030.\nAnswer: 2, 5, 12732803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -991475, -3965979, -8923509, -15864065, -24787647, -35694255, -48583889?\n\"Answer: -991513*u**2 + 35*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503402 is divided by 1015.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3 + 2 + 0*u + u**2 - u + 5*u. Let g be (-3 - -9)\/3 - -15. Let d = g - 21. Determine v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0423 + -40.6423. Round j to 0 dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.9457.\nAnswer: 2.0543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -841?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7224 and 400.\nAnswer: 361200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10292*d + 93065 = -341*d - 892084 for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-15)*9\/12. Which is the nearest to -0.1? (a) h (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/7)\/t)*t**4)\/((t*t\/(t**(4\/11)*t))\/t*t*t*t\/t**1*t) assuming t is positive.\nAnswer: t**(281\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/4)*g**(-1)*g**(-2)*g**(-1)*(g**(-1\/2)*g**(-1\/3)*g)\/((g\/(g**2\/g)*g)\/(g**(-2\/11)*g)) assuming g is positive.\nAnswer: g**(-497\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/10)\/z)*z**7\/z*z*z*z*z**3\/z*z**(-6)*z)\/(z**(8\/3)\/(z**(-1\/5)\/z)*z**(2\/5)\/z**(1\/9)) assuming z is positive.\nAnswer: z**(373\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - 31?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 382057 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 - -26. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j + 3. Let x be o(-8). What is the third derivative of -10*p**2 + 1 - 1 + 20*p**2 + x*p**5 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21645\/(-351))\/((-20)\/96). What is the highest common factor of t and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 11*y**4\/4 + 4*y + 7. Differentiate w(f) wrt f.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - 30\/(-4). Let f(z) = 19*z**2 - 25*z - 31. Let h(t) = -25*t**2 + 32*t + 41. Let b(v) = -13*f(v) - 10*h(v). Is 25 a factor of b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.3 - -0.7. Let s = t - 15.1. Let k = 0.0999975 + s. What is k rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3013223021 (base 4) to base 3\nAnswer: 1112112220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/3 + 21\/7 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 3*k - 15 - k - 20 - 5*k**3 in the form c*k + v*k**3 + p*k**2 + t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 - 1 = -5*z, -2*s + 3*z = -4. Let i(l) be the first derivative of -l - 17. Let d(b) = b - 6. What is s*d(t) + 4*i(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 152 - 32. Let y = -33 - p. What are the prime factors of 171\/y + (-1)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81106254, -81106255, -81106256, -81106257, -81106258?\n\"Answer: -k - 81106253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 5. Suppose -5 = t + 2*f - 14, 4*f = -3*t + 27. Let a = c + t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15408, -15406, -15402, -15396, -15388, -15378?\n\"Answer: v**2 - v - 15408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -3, 4, 27 in decreasing order.\nAnswer: 27, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35035.\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222 - -54. Let b = -55 - i. Is 46 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j + 4. Let s be 7*(80\/28 - 2). Determine z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v + 1230. Give y(96).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6))\/g*(g*g**(3\/7))\/g*g*g)\/(g**10*g*g\/(g\/g**(-1))) assuming g is positive.\nAnswer: g**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758904, 3035992, 6831146, 12144372, 18975676, 27325064, 37192542?\nAnswer: 48578116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 18. Suppose h*r + n = -6, -r - 4*n - 2 = -5*n. Does 9 divide (6\/(-10))\/(3\/180*r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11194638*d**2*s**3 + 4851*d**2*s**2 + 373*d*s**2 wrt s?\nAnswer: 67167828*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - t**2 + t + 18 - 7. What is the units digit of b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.64821 + 0.17761. Is -1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1442*k**2 + 719*k. Let p(x) = 6*x**2. Calculate s(p(v)).\nAnswer: 51912*v**4 + 4314*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.24254 times 0.057?\nAnswer: 0.69782478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-15 + 5 + -1). Suppose -5*d - 3*y = -m*y - 117, 2*d = y + 45. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 5*m + 7. What is l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 33 = -3*s, 4 = 4*u + 8. Suppose -5*p = s, 7*f - 2*p = 3*f. Let g be (3 - 3) + (-5)\/f. Solve 0 = g*a - a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -20. Differentiate -7 - 51*d**4 + 45*d**4 - c with respect to d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.8. Let r = 1331 + -1330.7. Which is the third smallest value? (a) -2\/7 (b) 3 (c) r (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 less than 2015428?\nAnswer: 2015429.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*n + 88. Let o = -20 - n. Suppose 0 = 4*t - 4*w - 35 - o, 4*w = -5*t + 78. Solve 5*h = 5*d - 2*d + t, -3*h - 3 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/6 + 2\/3. Let z be 2\/(-4)*(-3 + 3). Is z bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 + -3 + 7 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqavnqq. What is prob of sequence qv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2014895 minutes in days?\nAnswer: 0.005001034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -97, 78, 521, 1322, 2571?\n\"Answer: 15*k**3 - k**2 - 105*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -5*q - 156. Let k = 51 + q. Calculate the smallest common multiple of k and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3032 + -3036.241. Let g = -0.041 - b. Let c = -1.81 + g. Round c to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1))\/((-3)\/(-9)). Let v = r - 1. Solve 0*w - 4 = -v*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27*v - 9. Let w(x) = 54*x - 17. Let n(d) = -2*w(d) + 5*y(d). Is 29 a factor of n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*-1*2. Let h be (l - -2)\/((-20)\/(1 + 3)). Let w = -3.3 - -3.4. Which is the third biggest value? (a) h (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 - (-119)\/9. Suppose -q = -3*v + 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*q + 2*k, -k - 4 - 2 = -q. Let o be 1\/3 - q\/3. Suppose o = -3*h - 0*h + 159. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -m. Let o(z) = 2*z**2 - z**2 + 2 - 1 + 2*z. Let y be o(m). Solve -23 = -4*k - 5*v, y*k - 2*v + 3*v = 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -5. Let j = 37 - n. Let z(f) = -j + 2*f**2 + 18*f - 19*f + 2. Calculate z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 3*z)*(-3 + 6 + 0)*(z - 3 + 3) + 10*z**2 - 15*z**2 + 36*z**2.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*u + h, -u = -0*h + 2*h - 30. Find the third derivative of u*l**3 - 503 + 2*l + 503 + l**2 wrt l.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 10.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1489 + -1485.0096. Let p = q + -4. Round p to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123 - (39 + 94)) + 7\/((-6 - -3)\/15).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 813230.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5))**(-32)\/(l**(-1))**(-26) assuming l is positive.\nAnswer: l**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -78.07909 * -4\nAnswer: 312.31636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 6. Let s be (0 + 10\/6)*y. Let v = 6 + s. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1174\/9 - -136. Let f = z + -368\/63. Suppose -2*v + 5*v - 12 = 0. Sort 3\/7, f, v in descending order.\nAnswer: v, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5\/3 + 8*z**4\/3 + 8*z**3\/3 - 32*z**2\/3 + 28*z\/3 - 8\/3.\nAnswer: -4*(z - 1)**4*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 2 (c) 27 (d) -6 (e) 3\/22 (f) -2\/7 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u - 4. Let g be h(-7). Which is the nearest to -2? (a) g (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/15 + 2*b**5\/5 + 4*b**4\/5 + 8*b**3\/15 + 7. Find r, given that j(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.42 - -1.58. Let v = 19 - h. Let m = v - -46.61. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 0. Suppose n = -m + 4. Suppose 2*b - 10 = -6*l + l, l = 0. Which is greater: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:31 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708 by -6.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -32075*k - 833948. What is g(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let r(g) = -77*g - 2. Determine n(r(m)).\nAnswer: -154*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 169. Find the first derivative of -15*t - 1 + n - t**2 - 2*t - 26*t wrt t.\nAnswer: -2*t - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 82*r - 174 = 0. What is the remainder when 281 is divided by r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -98.2. Let v = -15.200556 - w. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 23*i**3 + 10*i - 3948. Let v(q) = 114*q**3 + 48*q - 19738. Let t(y) = 14*d(y) - 3*v(y). Find the first derivative of t(f) wrt f.\nAnswer: -60*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 3*j**4 + 42*j + j**3 - 82*j + 30*j to g*j**2 + q + s*j + i*j**4 + n*j**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 4\/3 (c) -12 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66495 + 23938183\/360. Calculate the common denominator of 13\/540 and g.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.743 + -4.743. Sort -0.5, 2\/7, f, 4 in decreasing order.\nAnswer: 4, 2\/7, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20972312831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 913*t\/2 - 456.\nAnswer: -(t + 1)*(t + 912)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.37 times -29\nAnswer: 126.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - (-102 - 5)) + -11 + -39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13033022301 (base 4) to base 10\nAnswer: -1897137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 - 2*i + 1. Let z(u) = 5*u**4 - 22*u**3 - 13*u**2 + 126*u - 3. Let d(a) = -3*b(a) - z(a). Determine s so that d(s) = 0.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 40 = -4*z, 2*z + 4*b + 18 = -10. Let k be 9\/(-15)*25\/(30\/z). Solve 2*n - 13 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 18*n - 452. Suppose k - 2594 - n = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 74\/4 + 1\/(-2). Suppose 0 = -4*b, -5*b - 13 - 2 = -5*w. Suppose w*u - a = 39. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001667008 to six decimal places.\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (24\/16)\/(6\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163916935*b**3*z + 225494211*b**3 wrt z?\nAnswer: 163916935*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*x - 10, -3*x = -i - 2*x + 15. Let o be -4 + 88\/i + (-23)\/(-5). What is the third derivative of 12 - 1 + 24*d**2 - 11 - d**o wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 41. Let r(w) = 6*w - 62. What is -5*r(c) + 8*v(c)?\nAnswer: 2*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*o**2 + 45*o**2 - 81*o**2.\nAnswer: -116*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4341 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 - 1. Let k be x(4). Suppose -4*n + 5*w = -139, -5*n = 5*w - k - 199. Let s = n + -10. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d + 3. Let w be n(0). Let u(z) = z**2 - 3*z + 3. Give u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 - 297 + 1199 - 11*g - 305 - 300 - g**2.\nAnswer: -g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 28*c + 357 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155.8882 + 155.9. What is p rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117759 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -b*o + 3 + 6 = 0. Suppose -4*z + 12*z - 16 = 0. Solve -z*u - 4 = -0*j + 4*j, -3*j = -o*u + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784584.\nAnswer: 2, 3, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590 = -307*h - 2204 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (4 - (6 - (-5 - -11)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 2. Let m be g(5). Let a be 3\/(-30)*4 - (-13)\/((-780)\/(-24)). Solve -c + m*c - 2 = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -2. Let q = 58.2 - 34. Let t = q - 24. Which is the nearest to h? (a) -2\/5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.39 + -14.91. Let h = 28 + s. Let y = h - 11. Put 2\/7, 5, y in decreasing order.\nAnswer: 5, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**5\/5 - 3*u**4\/4 + u**3\/3 + 2777*u**2\/2 + 4746. Find the second derivative of f(m) wrt m.\nAnswer: -108*m**2 - 18*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8372180?\nAnswer: -8372180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63546, 63509, 63474, 63441, 63410, 63381, 63354?\n\"Answer: x**2 - 40*x + 63585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 1002?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 874611.5 years?\nAnswer: 8746.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*a**2*q**4 + 246*a**2*q**2 + 9*a*q**4 - 57*a*q**3 + 8*a*q**2 + 7*a*q + 2*a wrt q.\nAnswer: -6144*a**2*q + 216*a*q - 342*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3452691.\nAnswer: 3452682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 19*f - 7*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by (-228)\/(-14) + 4\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upuupuuupfpppupppuup. What is prob of sequence fup?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 12*l - 7. Let o be u(13). Suppose -12*p + o = -9*p. Let t be 6\/p + -472 + -1. What is t rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4619?\nAnswer: 8\/4619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7624529067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18112, 17748, 17372, 16978, 16560?\nAnswer: 16112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-155)\/(-9) + 4\/(-18) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2013, 4731, 7447, 10161, 12873, 15583, 18291?\nAnswer: 20997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 5*v - 16 = -4*m, v - 4*m = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.4 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6580*a**3 - 141*a**2 + 423*a + 141. Let g(f) = 188*f**3 + 4*f**2 - 12*f - 4. What is -141*g(n) - 4*r(n)?\nAnswer: -188*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/(-70) + 4\/20. Which is the nearest to 2\/17? (a) i (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 903*c - 5392. Give k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tarkaakax. What is prob of picking 1 r, 1 x, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*k - 6. What is the smallest common multiple of 18 - 10\/((-5)\/k) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5 + ((-129)\/(-7))\/(151 - 136)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 + p**3\/3 + p**2\/2 + p. Suppose 0*i = -3*i - 15, 3*i = -o - 20. Is 16 a factor of n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)\/z)**34*((z*z**(-12))\/z)\/z**(-2\/53) assuming z is positive.\nAnswer: z**(-23726\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + 10157?\nAnswer: 10204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 6. Let x be z(-5). Suppose 4*w + n = -13, x*w - 13 + 6 = 3*n. Let r(d) = d + 4. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7))\/(i*i**(-6)\/i)*i**(-4\/3)*i*i*i\/(i**8\/i)*((i*i\/i**(-2\/7))**36)**(6\/35) assuming i is positive.\nAnswer: i**(6448\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {u: 1, z: 4, x: 5, p: 2, t: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 25. Suppose -5*m + 155 = -5*b, 3*b = 5*m - 199 + 36. Let l be -8*m\/(-14)*2\/(-4). List the prime factors of w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - -1 - -2) - (2 + 7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -12.6. Let c = 12.5 + a. Put 1, c, 4\/3 in descending order.\nAnswer: 4\/3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 390 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/7 - 5*f**3\/7 + 2*f**2 + 8*f\/7 = 0.\nAnswer: -4, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 2*o**3 - 79 + 2*o - 35 + 6*o**2 + 117 as u*o**2 + g*o + b + h*o**3 + t*o**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/2 + 2105*w.\nAnswer: -5*w*(w - 842)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o - o**2 - 42*o + 219*o**3 + 460*o**3 + 3*o**2.\nAnswer: 679*o**3 + 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3932 by -562.\nAnswer: -1966\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*(f\/f**(14\/5))\/f)**(-33) assuming f is positive.\nAnswer: f**(1782\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6766809401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/(-2) - (-20)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**4\/3 - 2*h**3 + 5*h**2\/2 + 7*h. What is the tens digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4228*h + 572. Let c(q) = 2115*q + 288. Let o(y) = -7*c(y) + 3*p(y). Find the first derivative of o(l) wrt l.\nAnswer: -2121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55928 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*p - 13809 - 1863, -11741 = 3*y - p. Let i = -2603 - y. Is i a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001527449003 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -45*b + 328848. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 9\/7. Let n be 8 + -5 - 1533\/513. Let j = n + 226\/171. Which is the nearest to q? (a) j (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908610264.\nAnswer: 2, 7, 6421, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 - 2. Let k(h) = 3*h - 270 - 263 + 533. Give k(w(t)).\nAnswer: -9*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-312)\/9*18\/(-12). What is the highest common factor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 5*g**2 + 40*g + 1. Let n(p) = -39*p**3 + 66*p**2 + 525*p + 14. Determine -27*f(w) + 2*n(w).\nAnswer: 3*w**3 - 3*w**2 - 30*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 12. Put -2, 3, b in decreasing order.\nAnswer: 3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 38786580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from wqngnvwqnnnvnqgnqw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.34256507 to two decimal places.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 762 = -9*h. Let i = h + 57. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -526 - -530. Solve -i - b*i - 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**2 + 1 - 5*f**2 - 8*f - 32*f**3 + 3*f**2. Let x be o(8). Round x to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17352 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - (5 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 19683*o + 26805384.\nAnswer: 3*(o - 4632)*(o - 1929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 14 = 30 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 - 7*g**3\/3 + 6*g**2 + 28*g\/3 - 64\/3.\nAnswer: -(g - 2)**2*(g + 2)*(g + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -5 - 62\/(-2). Suppose 5 + j = 5*a. Suppose 0 = 3*d - 2*d - 6. Are d and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111121000 - 12?\nAnswer: 111120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 1706.\nAnswer: 1705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1008\/(-49))\/(4\/(-42)). Let l = y + -150. What is the lowest common multiple of l and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100400*z**3 - 2*z + 16518?\nAnswer: -602400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let f(j) = -74*j**2 - 4353*j + 4353*j. Calculate x(f(i)).\nAnswer: 5476*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160756257?\nAnswer: 3, 97, 131, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 93 = -3*r + s, -s - 2 = 0. Suppose 4 = -w + r. Calculate the remainder when w is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164042574 or 164042565?\nAnswer: 164042565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3039 and -100.6.\nAnswer: -305723.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/60 - 61*w**4\/24 + 165*w**3 + 739*w**2. What is the first derivative of k(a) wrt a?\nAnswer: -6*a**2 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -35*h - 221 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 + 19*k - 10. Let l be d(-9). Let f = 100 + l. Let v(j) = -8*j + 9*j + f*j. Let a(t) = -4*t**2. What is a(v(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12250 and 8736.\nAnswer: 107016000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.042, -1.533, -0.2, 0.31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1263 divided by -3\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.171 + 0.571. Let f = 0.127 + 2.823. Let n = -3 + f. What is the second biggest value in n, d, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503665048?\nAnswer: 2, 13, 17, 1981711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from llallallll?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:17 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*w - 20, 3*j = w + 2*w + 12. Solve -5*c = 5*r - 0*r - 10, 3*c = 2*r - j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -79762 times -19\nAnswer: 1515478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/21 - (13 + 824\/28 - 2). Let p(h) = -40*h**2 - h. Let w be p(-1). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1538*h + 25. Is i(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, 4, -1\/24, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 18, 40, 64, 90, 118?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/4998)\/((-10)\/30*1).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41708957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from gyzgduyu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 + 20*c**2 - 52*c + 28 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 23*l - 18 = 2*l. Calculate the remainder when 1456 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:21 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 32*h - 4218099 = -4217035 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -26606736.55\nAnswer: -26606740.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 6*j. Let u be v(-5). Let n(w) = -10*w + 12. Is 8 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:02 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*s - 20 = 0, 0 = -u - 2*u - 3*s. Let m = -6 + u. Let p be (-2)\/(m - 1) - -7. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1854078, -3708192, -5562304, -7416414?\nAnswer: -9270522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*m - 141 = 0, -163 = -4*p - 0*p + m. What is the lowest common multiple of 14 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9062 or -15.3?\nAnswer: -9062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 + -146. Let j = g + -116.8. Let y = -27 + 26.9. Which is the third biggest value? (a) 2\/11 (b) j (c) -2\/5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 121?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.564 millilitres in litres?\nAnswer: 0.061564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 607126 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*9*(-6)\/(-81)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3 - z + 3 + (-3*z + 6*z - 2*z)*(-1 - 1 + 0).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**3 - 3*c**2 - 3*c + 8. Let t(r) = 7*r**3 + 4*r**2 + 4*r - 9. Suppose -756*w + 220 = -701*w. Calculate w*y(p) + 3*t(p).\nAnswer: -7*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 9*u**2 - 6 - 11 + 4.\nAnswer: -16*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgx when three letters picked without replacement from {u: 1, d: 2, g: 4, k: 3, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + j - 2 = 3*c, 2*c - 2 = 2*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27518500 rounded to the nearest 100000?\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 381 - 427 = -42*v + 28 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444720904 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 + -1.3. Let x = -8.9 + g. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**3 + 8*j**2 + 4*j**2 - 7*j**2 wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821431616435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246690041 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 412 = 2*r - 52, -3*f = -3*r + 696. Suppose r = 5*h - 13. Let q = 69 - h. Solve v + 3*v - q = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*d + 17, 17*d - 14*d = -205*c + 204*c + 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 1, b: 2, z: 5, u: 1}. Give prob of picking 1 r, 1 u, and 1 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 7*j - 19. Let o be n(9). What is the closest to o in -2\/5, 0.3, 2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 2*s**2 - 2*s**2 + 2*s**3 + s**4 - 2*s**3 + (3*s + 4*s - 5*s)*(2*s**3 - 3*s**3 + 0*s**3) + 3*s**4 - 5*s**4 - 32*s**4.\nAnswer: -33*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 1.88?\nAnswer: 43.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 15*t - 45. What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -31*h + 265. Let l be u(9). What is the tens digit of (-4)\/l - 1438\/(-28)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 116*a - 353. Let v be i(-3). Solve 0 = 4*t + v*m - 28, 2*t - 3*m = -m + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4878 is divided by 175.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)*c*c*c*c*c\/(c*c**(1\/28)*c) assuming c is positive.\nAnswer: c**(-365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 852774 divided by 169?\nAnswer: 5046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*s - 4 - 99*s**4 + 69934*s**5 - 69930*s**5 - 76*s wrt s.\nAnswer: 80*s**3 - 1188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8 + 2*v + 0*v + 6. Let g be d(-10). Let r be g\/12 - 2\/(-6). Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - -23. Is 12\/m - 583\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27271647, -27271640, -27271633, -27271626, -27271619?\nAnswer: -27271612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**2*c)*c**(-1\/3) assuming c is positive.\nAnswer: c**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 + 12733\/85. Let c be (-8200)\/75*l\/(-4). What is c rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 5182592.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-120)\/(-35)) + 7. Factor 12\/7*v**2 + 2\/7*v - x.\nAnswer: 2*(2*v - 1)*(3*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 - 8*b**3\/3 - 4*b**2 - 4*b + 1. Let j be d(-7). Suppose -j*u = -2*u - 22. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1325, -1302, -1267, -1214, -1137?\n\"Answer: z**3 + 16*z - 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 24. Let b = z - 4. Suppose 5*m + 2*a + 5 = 1, b*m + 19 = 5*a. Put 3, 1, m in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-5))\/(3\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 1. Let c(v) = 6*v - 2. Determine -2*c(q) - 7*t(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 268 - 566 + 834.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 - 3) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 20 - 37 = -4*u, -5*c - 50 = -35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 172 - 2*w**3 + 22*w**2 - 22*w**2 + 35 as b*w**3 + m*w**2 + t + n*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) -13 (c) -1\/17 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 2043. Let g(s) = -14*s. Give y(g(t)).\nAnswer: -14*t - 2043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0754285138+132.174\nAnswer: 132.2494285138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 53?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 5:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**3 - 185*z**2 + 12*z**3 + 188*z**2 - 4*z**3 - 419*z in the form u*z**2 + d*z**3 + i + g*z and give g.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.30723 milliseconds to minutes.\nAnswer: 0.0049551205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 23. Let n be (k\/4 - -2) + 132\/(-24). Let x(q) be the third derivative of q**4\/8 + 2*q**3\/3 - 3*q**2. What is x(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4041 + 1022142?\nAnswer: 1013101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 49*d**2 - 16*d + 73. Let l(y) = -49*y**2 + 24*y - 73. Calculate 2*l(v) + 3*r(v).\nAnswer: 49*v**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07798 and -2.4.\nAnswer: -0.187152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + a + 25 = 0, 6*a + 5 = j + 5*a. Solve u - 2*v - 2 = 0, 3*u + j*v + 3 = -2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 10\/9*i**3 - 4\/9*i**2 + 0 - 8\/9*i**4 + 2\/9*i**5.\nAnswer: 2*i**2*(i - 2)*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 233.6649 centuries?\nAnswer: 2336.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 36\/(-30). Suppose 2*u = -u - 2*r - g, u + 1 = -r. Suppose m - u = 15. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.7. Sort -5, -0.2, z, -0.7.\nAnswer: -5, -0.7, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5632\/7 + 805. Factor -j*o + 0 - 1\/7*o**2.\nAnswer: -o*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6030 divided by 6?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1243*f**4 + 56*f**3 - 34*f + 30975372 wrt f?\nAnswer: -4972*f**3 + 168*f**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 4. Let s(f) = 2 + 3*f - 3*f - 3*f + f. Determine 3*p(h) - 5*s(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*j - 2*j**3 + 4 - 4 - 1442*j**2 + 1442*j**2.\nAnswer: -2*j**3 - 135*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 5*r + 57. What is the greatest common factor of r and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -65.7. Put -0.7, c, 3, -0.2 in descending order.\nAnswer: 3, c, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 + c**5 + (25 - 25 - 10*c**3)*(2*c**2 - 2*c**2 + 2*c**2).\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966082377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2)*-3 + 2. Let f be -177*(-1)\/(-644)*k. Let c = f - -1\/92. What is the biggest value in -5, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 - 212*c\/7 - 184.\nAnswer: -4*(c + 7)*(c + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -71. Suppose 22 = a - l, 0 = -3*a - 3*l + 6 + 72. Suppose 12*u = 9*u + a. Calculate the remainder when t is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.959ms in microseconds?\nAnswer: 681959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -19, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.86 times -1.18\nAnswer: -3.3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h. Let j = 5 + -1. Suppose -j = -2*g - 2*g. Solve o + 0*o - g = h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 10246?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwmszmrmmqmwmrrrqz. Give prob of sequence swzq.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76420\/133735)\/(3\/(63\/10))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(0 - 2*p + 0) + (0 - 2 + 1)*(p - 2*p + 0*p) - 4 + p + 4.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/313908 and 5\/85092.\nAnswer: 317988804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11066, -22155, -33244, -44333, -55422, -66511?\n\"Answer: -11089*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -2\/33 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p)*(p - p - 5*p) + 3*p**2 - p + p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4313 + -1?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+675798676196\nAnswer: 675798676196.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 387*a**4 - 7*a**2 - 320*a + 7. Let p(k) = 129*k**4 - 2*k**2 - 106*k + 2. Let b(t) = 2*i(t) - 7*p(t). Find the second derivative of b(h) wrt h.\nAnswer: -1548*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*z = -5, -4*m + 4*z = 2*z + 2. Suppose t - 4*t + 6 = m. Sort t, 0.09, 2\/9.\nAnswer: 0.09, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lljcljjjlcljljj. What is prob of picking 1 l and 3 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282756485 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/408, 5, 13\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 664 + -666. Let w = -25 + 27. Let z = 1 + -1. Put z, i, w in increasing order.\nAnswer: i, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 1. Let x be (3\/(-2)*(-10)\/15)\/1. Let k(n) = -2*n + 1. Give x*p(g) + k(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 13. Let i = 8.61 + -54.91. Let u = 46 + i. Put -1\/2, w, u in ascending order.\nAnswer: w, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/10 + l**3\/3 + 2*l**2\/5 - 2*l - 14. Factor a(r).\nAnswer: -2*(r - 2)*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 2*u**2 - u**2 + 10*u**2 + 435*u**4 - 385*u**4 + u**2 + 2*u to the form v*u**4 + d*u**2 + k + m*u**3 + j*u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -444777 or -444776?\nAnswer: -444776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, -256, 2 in decreasing order.\nAnswer: 4, 2, -4, -5, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 26. Let w = 8631 - 8645. Determine y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141324\/5 or -28264?\nAnswer: -141324\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/3 - 0)*-5. Let o(x) = -x**3 + 9*x**2 - 2*x - 11. Let t be o(9). Let c = q - t. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 3. Let a be o(-1). Let i be 2 + -4 - (-488)\/a. Suppose 4*h - i = 40. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 5. Suppose 0 = 3*r - 4 - u. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1586 (base 10) to base 5\nAnswer: -22321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13 - x + 15 - 23. Let k be l(7). Let c = k - -7. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 9 - 220*m + 127*m - 242*m - 5*m**2.\nAnswer: -3*m**2 - 335*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6849\/(-378) - -1) + 2\/7 and 59\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -783, 2, 128, 4.\nAnswer: -783, -5, -1, 2, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-9)\/(-12))\/((-33)\/176*-68))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1906 at most as big as 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -726944\/11 + 66086. Factor -2*k**2 + 0 + g*k**3 - 24\/11*k.\nAnswer: 2*k*(k - 12)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 45 = 5*k. Let m be 58\/6 + 2\/6. Let i = k + m. Solve -5*n = -2 - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1023\/341)\/(21\/91)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37\/10 - 6\/5. What is the fourth biggest value in -5, p, 3\/2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48395 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896973 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373200 is divided by 677.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22753 + 22766 + 5*j - 2*j)*(25 - 24 + 19 + 18) to the form y + g*j and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r + 36 = 21*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46250 + -39749.6. What is g rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 0.31. Let x = 7769 + -7766. What is the biggest value in -22, q, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8189999, 16380010, 24570045, 32760116, 40950235, 49140414, 57330665, 65521000?\nAnswer: 73711431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134874? (a) 1\/8 (b) 0.8 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:47 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 1, j: 4, f: 2, v: 1, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 74. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(7) - (-2*sqrt(7) + -1))*6 + -5 + sqrt(252) + 5)**2 + -4.\nAnswer: 528*sqrt(7) + 4149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -404 - -412. Suppose 2*y - 130 = -w*y. Solve -y*f + 10 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) 3 (c) -2\/1633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + m. Let g(y) = -y**2 + y. Let j be 18\/3 - 52\/((-156)\/(-12)). What is j*g(r) - t(r)?\nAnswer: -4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084252 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 3, a: 3, b: 5, z: 1, h: 1}. Give prob of sequence ww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -755*p**3 + 4*p**2 + 5*p + 5. Let w(g) = 378*g**3 - 2*g**2 - 2*g - 2. Calculate 2*m(u) + 5*w(u).\nAnswer: 380*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.4 + -69. Which is the second smallest value? (a) -2 (b) 4 (c) 0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3123*u + 439*u - 4278*u - 3518*u as m + t*u and give t.\nAnswer: -10480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*-1*(-80)\/10*468\/(-78).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 8*s**2 - 11*s - 9. Let t be d(-9). Solve 5*j = t*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 16\/15 (b) 5 (c) -5 (d) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.62 and 242184.\nAnswer: 2814178.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-906)\/16308*36\/(-56)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957154 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2724 and 107\/10?\nAnswer: 13620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41888 divided by -10472\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = 19*g - 126 - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3119*d + 64 = -3135*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(h**2 - 4*h**2 + h**2) + (-2*h - 2*h + 2*h)*(-h - 32 + 32).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 784680 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 6. Let o be c(2). Suppose 0 = -3*k + 5*p - 10, o*k + 3*k = -4*p - 19. Let v = 0 + 2. Put v, k, 3 in descending order.\nAnswer: 3, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 12*g**2 - 32*g + 25. Determine u(-15).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3417 - 3416.9. What is the closest to h in 0.2, -50, -6, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 0. Let a = 21 + -1. Let o = 11 - a. Let m(c) = -13*c**3 - 8*c - 5. Let y(q) = 3*q**3 + 2*q + 1. Give h*m(w) + o*y(w).\nAnswer: -w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let l(n) = 2*n**2 - 86*n + 377. Let o be l(38). Which is the closest to -1\/2? (a) h (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/460 and -79\/10120?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + -10 + 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*w = 8*w - 57 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605835795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 1.09. Which is the closest to w? (a) 4 (b) -0.04 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10*h - 99 = 0, 0 = -3*q - 9*h + 12*h + 42 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86212 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: Is -3246*((-3)\/(-2) + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5 - 8*k + 3 - 5 + 4*k. Let f be r(-5). Suppose 5*x + f = -12, 3*p + 5*x = -16. Solve -c - c - 8 = 0, p*b = 3*c + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/4 - (-1)\/(-4). Let y be -3 - 2\/(-4)*2. Let n = r + y. Solve x + 0 = -n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*d\/(d**(-1)*d)*d**(-6)*d\/((d\/d**(-2\/3))\/d))\/((d*d**(-1)*d)**(-1\/59)*(d**(-1\/2)*d)**(-3\/4)) assuming d is positive.\nAnswer: d**(-389\/1416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 - 5*q**2)*(1 - 30*q**2 - 123*q + 126*q + 9*q**2).\nAnswer: 126*q**4 - 18*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by -2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(((-1*sqrt(132) - sqrt(132)) + sqrt(132))*6)\/(sqrt(12) + sqrt(84)\/(2*sqrt(7)))*2)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:11 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let o = -9 - -12. Let b = o - n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 152838 and -0.04.\nAnswer: 152837.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46398*t**2 - 55*t + 152 wrt t.\nAnswer: -92796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 - 88*r - 29. Let s(q) = -4*q**2 - 75*q - 28. Let l(w) = 5*d(w) - 6*s(w). What is l(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/((-230)\/(-2300)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - 5*s - 1. Let n(t) = 2*t**3 + 98*t**2 - 100*t + 21. Let r be n(-50). Suppose -21*x - r*x + 252 = 0. Give z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 5*q - 25. Let m be y(-5). Suppose b - 5 = l, m*l = -l. Solve 5*n + 8 = z, b*n + 14 = 2*n - 4*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from {w: 5, q: 1, i: 14}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 554? (a) -1 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*g - 731 - 25, 5*u = -3*g + 1252. Let c = u - 191. What is the remainder when c is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 2048, 3, 1.75?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*r + 2, -k = -5*k - 4*r - 4. Suppose k = -3*z - 2*b + 4*b - 5, -z + b = 1. Is ((-1758)\/(-24))\/(z\/4 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15406000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 29 = 31. Suppose -2*r = -0*r - 6. Suppose r*n - q = 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1236*m**3 + 2480*m**2 + 3692*m - 24.\nAnswer: -4*(m - 3)*(m + 1)*(309*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.401534 litres?\nAnswer: 401.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 135 - 53 = -4*a, 0 = -3*r + a + 161. Suppose 6*l - 4*l = 5*m - 57, r = 5*m + 3*l. Sort 0.4, -0.2, 5\/4, m in descending order.\nAnswer: m, 5\/4, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-4)*(-9 - 0). Let g = 0.2 + -24.2. Let j = g - -23. Are j and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/107 (c) 1 (d) 0.225 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/8 - (-2)\/(-8). Suppose 0 = -4*k - 4*v + 60, 2*k + 3*v - 8 = 21. Suppose 0 = -r*t - t + k. Calculate the lowest common multiple of t and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 3. Let k be a(-4). Suppose 3*c - 4 = -1. What is the highest common factor of k and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*-2*(-2)\/(-4). Let k be p\/(-6)*8\/(-6). Suppose 2*c = 4*s - 158, 0 = k*s + 2*c - 88. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02069442388 to four dps.\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5376 and 29\/24.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = u, 8 + 4 = 4*u + 3*f. Suppose 3*j = 5*y - 5 + 1, -j - u*y = -8. What is the third biggest value in j, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 10. Let c = j + 4. Suppose 0 = n - 3*n + c. Solve b - 3*b = -n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -1578, -2357, -3118, -3861, -4586?\nAnswer: -5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122819.17847 + 122313.176. Let f = 369.6 + 136.4. Let s = f + d. What is s rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 17 (b) 4\/7 (c) 0.096 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-464)\/64*(-3 + -265) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333609275 divided by 17.\nAnswer: 19624075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - y**2 + y**3 + 1 - 98*y**4 + 204*y**4 - 101*y**4 in the form u + a*y**2 + q*y**3 + x*y + c*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(4\/9))**(1\/66))**18)**31 assuming l is positive.\nAnswer: l**(124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 29*a**2 - 13 - 6*a - 2*a - 15)*(-1 + 5 - 2).\nAnswer: -58*a**2 - 16*a - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1745175*l - 10*l**2 - 1745175*l.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*a + 28 = 0, 5*n + a - 4*a = -67. Let g(u) = -8*u**3 - 3*u**2 - 8. Let q(f) = 3*f**3 + f**2 + 3. What is n*q(i) - 4*g(i)?\nAnswer: -i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/21 and 127\/432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/(-4) + (-4)\/(-8). Let h be (p\/(-6))\/(6\/(-27)). Calculate the remainder when (h\/(-9))\/(2\/6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2. Let t(y) be the second derivative of -5*y**4\/12 + 5*y. Calculate t(o(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*r - 46 + 46)*(0*r - 2*r**4 + 0*r) + 3*r**3 - r**5 - 3*r**3.\nAnswer: -235*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4320 greater than or equal to -4335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6414 at most -6410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11280 and 1822848?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*((-3)\/(-4))\/1. Suppose 3*o - y*a + 164 = -2*a, a = -o - 64. Let c = o - -84. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 48 = 3*f. Solve u + 2*m - m - 1 = 0, -4*m + f = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let c be 12*((-2)\/(-1))\/2. Let z = 17 - c. What is the remainder when z is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1221? (a) -5\/4 (b) 1\/4 (c) -18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5 + 2. Let i(f) = f**2 - 6*f - 5. Calculate the remainder when 2 is divided by i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 16. Let x be u\/35 + (-274)\/(-14). What is the greatest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 75. Calculate the remainder when d is divided by 9\/(-3) - 2*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -12. Solve -2 = -5*g - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(-2\/3)))\/m*m)\/m)\/m**(4\/5))\/(m**4\/m*m)**19 assuming m is positive.\nAnswer: m**(-1177\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*r - 2*w - w, r - 20 = w. What is the remainder when 39 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1065, 1125, 1187, 1251?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, -2, 0, -0.1 in ascending order.\nAnswer: -191, -2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - 24\/(-15). Let p = 5 - 4.7. Let s = 0 + p. Is s at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -8. Let h = -3 - -1. Sort k, h, -1 in increasing order.\nAnswer: k, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 90 and 545\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215951.\nAnswer: 17, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 5*y - 41, 4*c = 4*y - 84. Is c smaller than -87\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -21. Suppose 8 = -y*u + 2. Which is smaller: -0.4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j + 44. Let u(z) = -2*z + 11. Determine 9*h(n) - 36*u(n).\nAnswer: -81*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -15. Let j = 0 + 4. Suppose 4*v + 4*f = 5*f, -4*v - j*f = -20. Sort v, 5, a.\nAnswer: v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 4. Let t be m(-4). Suppose 0*x = 2*x - t. Solve 0 = -3*q - x - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 3*q**3 - 2*q**3 + 7*q + 10*q.\nAnswer: -4*q**3 + 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -1273, -2473, -4055?\nAnswer: -6019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1598756419 divided by 533\nAnswer: -2999543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g + 47. Let f be s(7). Let p(y) = 2*y + 62. Does 3 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67199*n**3 + 268886*n.\nAnswer: -403194*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 10*f + 2. Let n be v(-6). Let m(c) = -2*c - 2. Let d(h) = -6*h - 7. Give n*m(k) - 4*d(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjbjubi. Give prob of sequence uif.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130101 - -2?\nAnswer: -130066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 368*n - 18. Let d(v) = 5518*v - 267. Give -6*d(f) + 89*g(f).\nAnswer: -356*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*u - 133, -5*c + 4*u = 6*u - 575. Let f(l) = c*l + 0*l**2 - 58*l + 3*l**2 - 55*l. Let k(x) = -x**2 + 189*x. What is k(f(o))?\nAnswer: -9*o**4 + 567*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 725186*i**4 - 2921*i - 98?\nAnswer: 8702232*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -11 in ascending order.\nAnswer: -11, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/6106*-213*2*-7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/((m**10\/m*m)\/m))**(1\/37) assuming m is positive.\nAnswer: m**(-23\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/30 + u**4 - 3*u**2 + 4. Let r be a(8). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42841?\nAnswer: 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 11. Let h be n(-5). Let j be (-79*(-1 - -2))\/5. Let t = j + h. Which is the third biggest value? (a) -0.5 (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 4*j + 10. Determine d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let w = 23.2 + -22.9. What is the closest to -1 in m, 5, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 64, 33, 4, -1\/2?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -5*x - 4*z, -4*x - 201 = 3*z + 36. Let b = 44 + x. Is 16 a factor of (-2)\/(-4) + 2*(-556)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 13 (b) 0.11 (c) 2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51176935487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 + 11 = h, h - 4*q - 13 = 0. Which is greater: -1\/24 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 226861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-44 + (1 - (-11 - -3) - 3)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 8, w: 4}. Give prob of picking 1 z, 2 w, and 1 k.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1890*q + 2474*q + 1884*q + 1881*q - 8134*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -7*n**4\/3 + 104*n**3 + 45*n**2 = 0.\nAnswer: -3\/7, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1012227506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 + 2 - 518265*h + 518265*h + 46*h**4 to d*h**3 + z*h + m*h**4 + g*h**2 + r and give m.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -164*a + 920. Give i(6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 1\/2*v**2 - 8*v + 23\/6*v**3 + 0. Let o be j(1). Solve f + 19 = 5*n, 4*n + 8 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7622*h**6 - 3456*h**2 - 1?\nAnswer: -914640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5768248?\nAnswer: 2, 19, 137, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(7\/28 + 18\/(-8)). Suppose 2*p - 3 = d - 12, -4*d - 4*p = -h. Let j(f) = -f**3 + 4*f**2 + 4*f + 1. What is j(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.6. Let a = -1 + -1. Let l = -15 + 14.7. What is the closest to b in 1\/9, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139401\/9224 + 14\/1153. Let v be 16*(6\/(-4 + 10))\/1. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(24\/5)\/(n\/(n*((n*n*n**21)\/n)\/n)))\/((n\/((n\/((n*n**(-4)*n)\/n)*n)\/n))\/(n\/(((n\/(n*((n\/(n*n**(-9)\/n))\/n)\/n))\/n)\/n))) assuming n is positive.\nAnswer: n**(199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4449336 - -4449335.76000205. Let c = v + 0.24. Round c to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/3854897?\nAnswer: -4\/3854897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = g + 17 + 75, 34 = 2*p + g. Suppose 4*m = -r + 2 + 2, 5*m - p = 2*r. What is the second derivative of 5*o**m - 7*o**2 - o**2 + 0*o**2 - 20*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202122120 + -12?\nAnswer: 10202122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5280 and 22440.\nAnswer: 89760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -122, -242, -510, -974?\n\"Answer: -8*j**3 - 2*j**2 + 42*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*y - 5 + 26 = 0, -2*q - 11 = -5*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*f*i**2*q + 4*f*i - f*q - 56*i*q wrt i.\nAnswer: 1108*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -1, -240, 1 in descending order.\nAnswer: 15, 4, 1, -1, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*w**3 - 16601*o**2*w**2 - 680858*o**2 + o*w - 580*w**3 - 5*w wrt w?\nAnswer: 6*o**2*w - 33202*o**2 - 3480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.717 minus 3231212606?\nAnswer: -3231212604.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + 15 + 12 + -6 + -10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18766 is divided by 3751.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 30\/(-9))*-3. Which is the closest to s? (a) 1\/6 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.992516t?\nAnswer: 1992516000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7*y - 17 = -y, 2*v - 68*y + 63*y - 12 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1324, 610, -102, -812, -1520?\nAnswer: -2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Which is the biggest value? (a) -4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 381514207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*o**5 + 1805*o**3 + 289368*o wrt o?\nAnswer: -280*o**3 + 10830*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -926007 greater than -926007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 2, 21, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -550, -2054, -4998, -9862?\n\"Answer: -80*q**3 + 16*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(4*h + 0*h - 2*h)*(26 - 10 + 67).\nAnswer: -166*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + k**2 - k + 5. Let r be n(0). Suppose i - 1074 = -r*i. What is i rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 17*r**2 + 6*r - 3. Suppose -2*s = 2*h + 24, 4*h + s + 3 + 51 = 0. What are the prime factors of x(h)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*q + 13, 161*h - 166*h + 5*q - 6 = 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4032643 divided by -6\nAnswer: 4032643\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3621 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -314*r + 314*r - 42*r**4 + 2*r**2 - 2*r**2 - r**4 + (-2*r**2 + r - r)*(-2*r**2 + 0*r + 0*r) - 3 + r**4 + 3.\nAnswer: -38*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/4 + (3 - -7). Let q be (1\/3)\/((16\/3036)\/i). Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6 - 1 - 4. Suppose -2*m + 2 = 5*v + 13, 4*m + 8 = 4*v. Let f(i) = i - 2. Let k be f(-2). Let r(a) = 2*a - 4. Give k*c(o) + v*r(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*0\/(8\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 182?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -4*o - t = m, -4*o + 4 = 3*m + 2. What is the second derivative of -3*v**5 + m*v + 4*v**5 + v**5 wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013322322332221 + -10?\nAnswer: 1013322322332211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 5. Let b = -5 - -8. Suppose 5*s + 0*f - 17 = f, -5*s + b*f + 21 = 0. What is the remainder when m(6) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 4*n - 4. Let t be x(5). Suppose -12 = -4*l - 0. Let d be l\/(-42)*12\/(-3). Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 + 10009*l**4 - 30039*l**3 - 30025*l**2 + 110126*l - 60072 = 0.\nAnswer: -10012, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57 - (-19 - -23 - 17). Calculate the highest common factor of 4564 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 15 = 20*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9443*i**2. Let z(c) = -2*c**2. Give z(y(t)).\nAnswer: -178340498*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*h = -89*h - 28*h - 342 + 6474 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3851 or -107801\/28?\nAnswer: -107801\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66839793 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*t - 6, -3*s + 2 + 1 = t. Suppose 6 = 5*r - 9. Suppose s*u - r*u = -330. Calculate the greatest common factor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100291, -200874, -301455, -402034?\nAnswer: -502611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 21137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 1542.\nAnswer: 40\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*l - 28 = 2*g - 4*g - 166*l, 101 = -5*g + 4*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 - 17. Let t = -184.5 - y. What is the nearest to -1 in -5, -2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 1710.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100821514?\nAnswer: 2, 89, 566413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:38 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**8\/336 + 31*b**7\/105 + 337*b**6\/120 + 8*b**5\/15 - 166*b**4\/3 + 448*b**3\/3 + 601*b**2 + b. Factor c(y).\nAnswer: (y - 1)**2*(y + 4)**2*(y + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38622699.\nAnswer: 3, 61, 70351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4) + 5038\/88)*1. Let v be (-760)\/t*12\/(-25). Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -131?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5699363294?\nAnswer: 2, 42853, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -664, -663?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:50 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -77241 - j + 77241. Let d(p) be the first derivative of p**3 + 1. Determine z(d(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/398 and -41\/10672?\nAnswer: 2123728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2402*f**3 - 708*f*p**3 + 4*p**3 + 324907 wrt f.\nAnswer: 7206*f**2 - 708*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 1513*y. Give a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 5*c + 2*c)*(-2 - 6 + 5)*(3*c - 4*c + 0*c**2 + 2*c**2) to k*c**3 + f*c**2 + z + l*c and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1222, 2216, 3106, 3886, 4550, 5092?\n\"Answer: -n**3 - 46*n**2 + 1139*n + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 29*s**3 - 337*s**2 + 263*s - 714. Give z(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3. Let d(o) = 0 + 3 - 4 + 657*o - 658*o. What is -3*d(l) - n(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -832, -1988, -3638, -5782, -8420?\nAnswer: -11552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55988 - 103?\nAnswer: -55a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-285) - (14\/18 - 1)*(-2229)\/3715.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**2*v**2 + 756696*q**2 + 12*q*v**2 + 484559*v**2 wrt q?\nAnswer: 8*v**2 + 1513392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731566?\nAnswer: 2, 865783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 161, 159, 155, 149?\n\"Answer: -f**2 + f + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 114*o**5\/5 - 69*o**2 - 88. Find the second derivative of j(u) wrt u.\nAnswer: 1368*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = c + 26, 2*q = -13 + 5. Let k be (-3)\/(3 + c\/15). Let n be (42\/k)\/(1\/(-5)). Calculate the greatest common factor of n and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710837.2ng in milligrams?\nAnswer: 0.7108372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 + 0.19709\nAnswer: 1.99709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25266 and 12.\nAnswer: 50532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5, -4*g - 2*x + 10 = -8. Suppose 2*v = g*v - 153. Suppose -3*h - v = -f, 8*f - 242 = 3*f + 2*h. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.3, -0.14, -1, -46336 in ascending order.\nAnswer: -46336, -1, -0.3, -0.14, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-2\/3)\/b*b))*b*b)**(2\/59))**(-11\/8)\/(b**(-1\/11)\/(b\/b**(1\/6))*(b**1)**(-31)) assuming b is positive.\nAnswer: b**(41357\/1298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821094778?\nAnswer: 2, 3, 149, 1237, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + c**3 - 6*c**3 + 2*c**3 + 5*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*p + 67*p = 42 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -5888519?\nAnswer: -2944259.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 127. Is 16 a factor of q(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13077583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, j: 2, s: 1, y: 2, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-129)\/(-27) + (-2)\/(-9). Let g = 1 + c. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779541730.\nAnswer: 2, 5, 11, 409, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346.4 litres to millilitres.\nAnswer: 1346400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-4)))\/(b**0\/b)*(b*b*b**(1\/4)\/b)**(-2\/13) assuming b is positive.\nAnswer: b**(-57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22869*q - 22874*q + q**2 + 5 + 37*q**2.\nAnswer: 38*q**2 - 5*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526 - 521. Let g = 130.83 + -131. What is the smallest value in g, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 17*n**2 - 19*n + 23. Let v be g(18). Suppose -v*z + 55 + 45 = 0. Calculate the least common multiple of 8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*g**2 + 41*g**2 - 25*g**2.\nAnswer: -255*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1075 and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/7)\/(-3) - ((-8814480)\/(-399))\/(-40). What is the greatest common factor of 72 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 9\/2*k**2 + 0*k + 126. Let z(n) be the second derivative of n**3\/2 + 2*n. Determine 4*i(p) - 11*z(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = -y, -5*y - 3*s + 20 = -0*y. Let g(u) = -2*u + 4. Let c(l) = l - 1. Let x(a) = y*g(a) + 4*c(a). Let w(q) = -3*q**2. Calculate w(x(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15312620.7ms?\nAnswer: 0.17722940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(1 + -4)\/3. Let x be o\/(-5)*-1*3. Let v = -3 - -2. Which is the second smallest value? (a) v (b) x (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 51. Let d be (-18)\/a + (5\/10 - 1). Solve -2*y = -0*y + d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-48)*280\/(-350)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 16)*(-95*a + 53*a + 52*a).\nAnswer: 160*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 37*o**2 + 1. What are the prime factors of t(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 2*k + 4*h, 329 = 5*k + 2*h - 514. What is the remainder when k is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by 4?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 4234?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + (-20 - (-18 + 0 - 23))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) -234681 (c) 3\/4 (d) -0.05 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31849398, 31849397, 31849394, 31849389, 31849382, 31849373, 31849362?\n\"Answer: -q**2 + 2*q + 31849397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -22. Calculate the greatest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30932 is divided by 395.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 341.5 + -341.5004966. Round t to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -3 + sqrt(76) - (-1 + 1 + sqrt(19)).\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-14) + 2189\/77?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - ((28 - 33) + -14 - 15).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 20*v**2. Let i(j) = -140*j. Give p(i(k)).\nAnswer: 392000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4 + 37*f + 17\/2*f**2 + 1\/3*f**3. What are the prime factors of r(-19)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -25 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*x)*(42*x + 26*x + 35*x - 37*x).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -101002210020100 (base 3) to base 7\nAnswer: -63431544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001232 (base 4) to base 10.\nAnswer: -8302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and -9.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 553123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -148 + 58. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 51 = 14*h. Which is the second smallest value? (a) 0.4 (b) 3 (c) h (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(-3)\/(((y\/y**(-1\/15))\/y*y*y)\/(y\/(y*y**(-4)*y))) assuming y is positive.\nAnswer: y**(101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + u - 4*u - 12 = 0, 0 = 5*a - 5*u - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6 + 10. Suppose -2*r = -2*n + 8, -f*n + 20 = -7*r + 2*r. Suppose n = -2*t - 2*t + 328. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -r + 5*g + 1, 52 = 5*r + 3*g. Let i = r - 8. Let q = 2 - -3. Solve i = a - 2*a - q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*u - 0*u - 2, 0 = 3*u + 6. Solve -5*m - 5 = -t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + (-12698)\/602)*(-2)\/(-4) + 0?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1645? (a) -0.0398 (b) -1\/2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 - 196. Let o = k - 243.121. What is o rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.92 + 5. Let b = r + -0.15. Let u = 0.13 - b. Put u, 3, 0 in decreasing order.\nAnswer: 3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -208, -207?\n\"Answer: r - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 49*w - 522. Let k be p(23). Which is the second smallest value? (a) k (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5967272 nanoseconds in minutes?\nAnswer: 0.00000000002661212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 11*p - 16. Let m be o(-8). Calculate the common denominator of -71\/22 and ((-34)\/m - -4) + (-79)\/(-16).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.13 + -13. Are -2\/7 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n = -65*n - 48. Calculate the remainder when 95 is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203769?\nAnswer: 3, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117671917 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 136 - b**2 - 136.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 2. Let l be -3 - (3 - (-3 - -4)). Is i(l) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1754, 2, 16 in decreasing order.\nAnswer: 1754, 16, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-3*(-7)\/14). Let q be (0 + (-14)\/(-18))*(-4)\/j. Which is the closest to 1? (a) -11 (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92149 and 4042.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090009488 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 less than -7.703450765?\nAnswer: -2328.703450765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -13. Suppose 4 - b = -m. Differentiate -5 + m + 4*q**3 - 3 - 5*q**3 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/3*(-15)\/(-50)*(-60)\/48.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-1)\/(-3)*87 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13927 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/17 - 23471216*y**2\/17 - 23471214*y\/17.\nAnswer: -2*y*(y + 1)*(y + 11735607)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55 + (-2)\/4*2. Let z be s + -53 - (-1)\/(-3). Factor 0*j + 1\/3*j**5 + 0 - 2\/3*j**4 + z*j**2 - 1\/3*j**3.\nAnswer: j**2*(j - 2)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 6*(sqrt(76) + 1))*6 + -1 + ((sqrt(76)*-2 + sqrt(76))*6 + (sqrt(76) - (-2 + sqrt(76) + -1)))*1)**2.\nAnswer: 5472*sqrt(19) + 99940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ab - -3?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8296b (base 15) in base 9?\nAnswer: -700652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2427d (base 15) to base 3.\nAnswer: -1022221100212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/y**(-3))**(-5) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 - 5414 = 91*a + 295 + 2370 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461064336 = -76*o - 1221824336. What is o rounded to the nearest one hundred thousand?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110821\/143 + 8897\/11. Which is smaller: 33 or f?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171\/40 + 39\/8. Let n = 0.9 - 0.7. Which is the biggest value? (a) -2\/7 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60791 is divided by 447?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 6, x: 7}. What is prob of sequence rx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let i(g) = g**3 - 5*g**2 - 4*g + 6. Let m be i(6). Let b(r) = 3*r**2 - 55*r + 17. Let o be b(m). Let c(d) = -4*d + 5. What is o*c(l) + 6*w(l)?\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -116, -1, -18, 3, -8.\nAnswer: -116, -18, -8, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(8\/9)*y\/(y\/(y*(y\/((y\/(y**(-2\/5)\/y*y))\/y))\/y*y*y)*y))\/((y\/y**16*y)\/((y\/y**11)\/y)) assuming y is positive.\nAnswer: y**(212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -3401?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/9 + 610*q**2\/9 = 0.\nAnswer: -305, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11863, 11855, 11849, 11845, 11843, 11843, 11845?\nAnswer: 11849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -118. Put -4, -1, f, 18 in decreasing order.\nAnswer: 18, -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181018993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 2*s - 163 + 112 + (3 + 4 - 4)*(-s - 3 + 3) as l*s + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1000.33598746 from 0.28.\nAnswer: -1000.05598746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 4*t + 19. What is a(9)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.9 in 2, 2\/17, -2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m**(2\/31)\/m)*m*m**17*m*m assuming m is positive.\nAnswer: m**(711\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6648)\/41550*75\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -924*i*m**3 - 5*i*m**2 + 230*m**2 wrt m?\nAnswer: -5544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vsvvvvvvvsvv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -9446 and -9444 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39100 and -63957.\nAnswer: -103057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*c - 2800. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**3\/3 - 2*q**2 + 4*q + 32. Determine w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(1*sqrt(95) + sqrt(95)) - -3*sqrt(95)*-2))\/(sqrt(60)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - (1*sqrt(320) - sqrt(320) - sqrt(320))).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 142.99046*0.069\nAnswer: 9.86634174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110040, -440170, -990386, -1760688, -2751076?\nAnswer: -3961550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/480 + f**5\/240 + f**4\/96 - f**3\/24 + 2*f**2. Factor k(h).\nAnswer: -(h - 1)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r. Let m be d(-10). Suppose -290 = -5*u - 5*n, 5*u + m = 3*n + 320. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011110011111 (base 2) in base 12?\nAnswer: 82a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6536 = -2*q + 2*a, -2*q + q + 2*a + 3266 = 0. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/3 + 3*v**2\/2 + 4*v + 10. Find p, given that y(p) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 14\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 238\/63 + (-4)\/(-18). Let z be (8 + 0)*(3 + 3\/(-3)). Suppose -2*q + 20 = 5*o, 4*o = -q - 3*q + z. Solve i = o*c - 7 - 5, a*i = -2*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*l + 5*c, 0 = 8*l - 4*l + 4*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h + 9. Let z(q) = q - 6. Let a be z(6). Let x be 2 - a - (3 + 0). What is the nearest to x in h, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47191920.999939 + 47192055. Let d = -134 + r. What is d rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6522, 52254, 176394, 418146, 816714, 1411302, 2241114, 3345354?\nAnswer: 4763226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4041387 is divided by 271.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*v**4 - 2*v**3 + 31*v**2 - 6988 wrt v?\nAnswer: 316*v**3 - 6*v**2 + 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(25)\/(2*sqrt(5)) - sqrt(5) - sqrt(5)))*-4)**2 - (6*(sqrt(405) + -1))**2.\nAnswer: -14596 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 6. Let k(l) = -l + 7. Let c be k(10). Let d be u(c). Solve 4*j - 2 = d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -9*t + 536. Find the third derivative of 4*a**3 - t*a**5 + 2 - 230*a**5 - 4*a**3 + 59*a**2 + 0*a**3 wrt a.\nAnswer: -18240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627919 is divided by 76?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*y = 5*y + 6851, 0 = -2*x + 3*y + 2744. Calculate the greatest common factor of x and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43520000 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/28320 and -23\/5900.\nAnswer: 141600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)\/(1 + 0). Suppose 3 = b + j. What is the first derivative of -3*k**4 + b + 13*k - 13*k wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {y: 1, m: 3, h: 2, r: 3, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 8. What is n(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, j: 17}. Give prob of sequence pp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-18) - (-560)\/72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 7, i: 1, q: 1, u: 2}. What is prob of sequence jiq?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -45*f**2. Suppose 0 = m - k - 16, 4*m - 6*m - 3*k + 17 = 0. Let s(i) = -23*i**2. Let b(h) = m*s(h) - 6*x(h). Let p(y) = -y. What is b(p(a))?\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 10 - 25*1820\/(-13)?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*r**4 - 29*r**2*w + 2*w + 90 wrt r.\nAnswer: -36*r**3 - 58*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/16 and -57\/581600?\nAnswer: 581600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1 - -3991?\nAnswer: 3974.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104967 < 104969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 3*a**3 - 23*a**3 + 30*a**3 + 50*a**3 - 4*a.\nAnswer: 60*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 43*q + 300. Let b be w(6). Solve b = -4*a + 3*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (17 + -20 - ((59 - (6 + -1)) + 1))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from frf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.74. Put -0.5, l, 2 in descending order.\nAnswer: 2, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:01 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5583*q**3 + 3009 wrt q.\nAnswer: -16749*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)\/(3\/(-9)). Solve -5*t = 4*x + 21, -y*x + 16 - 3 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**9\/1008 - a**5\/40 + a**3\/2 + 2*a. Let k(z) be the second derivative of v(z). What is the second derivative of k(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 + -1530\/7. Find the common denominator of m and 20\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_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: Sort -533150\/17, -1.7, -2\/19.\nAnswer: -533150\/17, -1.7, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 7*z + 6. Let f be p(-9). Let v be 4\/(1 + -1 + -2) - f. Let x = v - 59. Calculate the remainder when 125 is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mirrmmggmgrgs. Give prob of sequence mm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37*7\/14)\/((1020\/(-40))\/(-51))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 9 - 24)*((-4 + 4 - 2*q)*(q - q - 3*q**3) + 0*q**4 - q**4 + 2*q**4) to w*q**3 + u*q**4 + l*q + b + a*q**2 and give u.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l. Let q be c(-2). Suppose 183 = -3*d - q. Let f = d + 64. Solve 5*v + 0*v + 25 = -f*z, -v = -4*z + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -3*c. Let n(s) = s**3 - 5*s**2 - 3*s - 7. Is 11 a factor of n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1255, -5, 5, -4, -0.5, -3\/7 in decreasing order.\nAnswer: 1255, 5, -3\/7, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*s = 1222*s - 595*s - 28808. What are the prime factors of s?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5476193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/6 - 17*w. Let y(q) = -55*q**2. What is y(r(g))?\nAnswer: -220*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6269011 to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*m, -2*m - 57 = -5*d. Let o = -6 + d. List 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 millions digit of 2562098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18269.\nAnswer: 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2855 - 5415 - 6734 - 1141)*(-n**2 + 3*n**2 - n**2).\nAnswer: -10435*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -3*c - 8*y - 2*y - 105, 0*c - 5*c - 5*y = 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 28. Let s = 21 - -19. What is the greatest common divisor of y and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let k(l) = 212520835*l. Calculate k(t(b)).\nAnswer: 425041670*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-4*z - 1 + 6*z + 3).\nAnswer: 6*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*s - 6*l + 44 = -2*l, 27616*s + 2*l = 27617*s + 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17256464 and 6.\nAnswer: 51769392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**32*u)\/u))\/u)**24 assuming u is positive.\nAnswer: u**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-4)*d)\/d**10)\/((d\/(d*d\/(((d*d\/(((d*d**(5\/4))\/d)\/d))\/d)\/d)*d))\/(d**(-3\/5)*d)))**(-2\/61))**(-22) assuming d is positive.\nAnswer: d**(-297\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 36 = 5*i. What is the highest common divisor of 63 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42703605 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1224, -1573, -1932, -2307, -2704, -3129?\n\"Answer: -q**3 + q**2 - 345*q - 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41547 = 747*l - 21378 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(243) + sqrt(243) + sqrt(243) + -1)*-5 + -4)**2 - ((sqrt(144)*2)\/sqrt(4))\/(sqrt(12) - sqrt(144)\/(sqrt(12)*2))).\nAnswer: -328056 + 1644*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (135 - 303 - 2170)*(v**3 + 0 + 0) to the form c*v + d*v**3 + a + y*v**2 and give d.\nAnswer: -2338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32347 and 759.347?\nAnswer: 33106.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 933358343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = c, -8464 = j - 24*c - 8563 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 13096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/((h\/(h**(-3)\/h)*h*h)\/h)*(h*h*h\/(h*h**(-2\/3))*h)**41)\/((h**1)**4*(h*h**0)\/(h**(-1\/4)\/h*h)) assuming h is positive.\nAnswer: h**(1741\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 84232?\nAnswer: 589624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b**2. Let a(o) = 6*o**2 - 16 + 14 - 7*o**2 + 2*o. Let k(m) = -4*m**2 + 9*m - 9. Let u(d) = 18*a(d) - 4*k(d). Calculate u(y(r)).\nAnswer: -242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42 - 30\/(-72)*-4*3. Suppose 254 = 7*s + q. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(405) + sqrt(405) - sqrt(405) - (sqrt(405)*-2 + 2)) + (-3 + -3 + sqrt(405)*2 + sqrt(405))*-2)**2.\nAnswer: -180*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/151 and -115\/4228?\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10016 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4 (c) -3\/286 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 20. Suppose -o*l = 4*f - 20, 3*f = 5*f - 2*l - 14. Solve -2*z - f = 4*u, z - u - 3 = -0*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, x: 1, b: 6}. What is prob of sequence xb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 6*k)*(3 - k - 3) - 356 + 16981*k**2 + 15458*k**2 + 7060*k**2 + 357.\nAnswer: 39501*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (103499998\/6)\/((-4)\/24). Let w be (-4)\/(-18) + q\/(-9). What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.585032 rounded to three dps?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -6 - (10 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15437458 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20275715235 - 1?\nAnswer: -20275715236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i**2 - 374*i + 147. Let a be w(37). Suppose -7*c = -3*c - 4*t - 8, 4*t + 3 = 3*c. Put -10, a, c in descending order.\nAnswer: c, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4 and 35\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317 - -857. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/11 and 26\/1397.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(513) - sqrt(513)*-1) - -2*(sqrt(513)*-1 - sqrt(513)))\/(sqrt(756)\/sqrt(7) - (-3*sqrt(12))\/sqrt(4)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-437.\nAnswer: 174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39237700 or -39237701?\nAnswer: -39237700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*y + 106 + 254. Solve -y*c = -17*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2. Let x(m) be the third derivative of 7*m**2 + 0 - 5\/24*m**4 + 0*m + 0*m**3. Determine a(x(t)).\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993.598 hours to nanoseconds.\nAnswer: 3576952800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let z(d) = 246*d + 1476. Let x be z(-6). Let q(k) be the second derivative of 1\/6*k**4 + 0*k**2 - 3*k + x + 0*k**3. Determine g(q(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from tgjpgppmmp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 15*q**2\/2 - 13*q - 7. Let d(a) = 2*a - 7 + 2*a + 4*a. Give -11*d(o) + 6*m(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 1, g: 1, f: 6, s: 1, c: 3}. Give prob of picking 3 f.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a + 8*a - 3435 + 3445 - 56*a to the form s*a + n and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 18*b + 21*b + 114 = 0, 2*s - 3*b = 79. Put s, -2, 12 in descending order.\nAnswer: s, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) + (-5)\/10. Let u = -6 + 5. Sort u, s, 0.9 in increasing order.\nAnswer: u, 0.9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 - 56*m**4 - 546*m**3 - 1908*m**2 + 648*m + 11664 = 0.\nAnswer: -9, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(19)*2)**2*-2.\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21404, 21437, 21494, 21575, 21680, 21809?\n\"Answer: 12*n**2 - 3*n + 21395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10894 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 15*q**2 + 17*q + 19. Let g be 2\/4*-2*-3 + -19. Let z be v(g). Solve 13 = -4*t + x, -z*t = -8*t + 3*x - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/70*-8)\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -159*o**2. Let d(h) = -2*h**2 - 9*h + 3. Let b(m) = 12*m - 4. Let c(r) = 3*b(r) + 4*d(r). Calculate k(c(j)).\nAnswer: -10176*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -22880*m**2 - m + 5. Let r be h(5). Round r to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -27. Let q(z) = -4*z**3 + 3*z**2 - 3*z. Let w(t) = t**3 - t**2 + t. Calculate a*w(g) + q(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -163.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27759560?\nAnswer: 2, 5, 693989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3*l + 4*d**3*y + 13*d**3 - 19*d*l**2*y + 2*d*l**2 wrt l?\nAnswer: -2*d**3 - 38*d*l*y + 4*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 + 2*m - 4. Let g be h(-4). Suppose g = 2*u - u. Suppose -70015 = -z + u*y - 7*y, -z + 69995 = -y. Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 58.6.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (2 - -9) + -7 - 25\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -886235, -1, 1 in decreasing order.\nAnswer: 4, 1, -1, -886235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 0*p**3 - 6*p**3)*(-3 - 2 + 3 - 2 + 4 - 3 + (-1 + 4 - 5)*(1 - 1 + 1)).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178583, -714238, -1606995, -2856854, -4463815?\nAnswer: -6427878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 o when four letters picked without replacement from okkooko?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Suppose -10*y - 9 = 11. Let r be ((-4)\/18)\/((-2)\/12). Which is the second biggest value? (a) y (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4122263 divided by 5.\nAnswer: -4122263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1 = -t + 8*f, -2*f = -5*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000295464 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 84 = -n + 2*m, 2*n - 4*m - 54 = 0. Calculate the remainder when (-2)\/(-4)*-6 - -38 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27936 = -61*w + 29*w. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.33 and -1568.\nAnswer: -517.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 + 10 + -5 - 14\/(-11) and -43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.56 + 169.86. Let f = u + 1.7. Let c = 171.111 - f. Round c to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + c + 28, -3*c = -0*g - 5*g + 24. Let a = g - 8. Let u(f) = f + 4. Let t(y) = y - 3. Let p(b) = -2*t(b) - u(b). What is p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + (19 - 5) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(8 + 167770\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 258770.\nAnswer: 258770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -n + 2*n + 87, 275 = 3*j + 4*n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 - 27*z**2 - 37*z - 21. Let j(t) = -5*t**3 - 6*t**2 - 33 - 7*t**2 + 22 - 18*t. Let v(b) = -6*g(b) + 11*j(b). Is v(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31668 smaller than -2\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-98)\/21 - 5\/(-3). List the prime factors of p - 1 - (0 + -235).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnn when three letters picked without replacement from {a: 2, n: 6, p: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 + 5*j - 7. Let l be s(2). Let b = 12 - l. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6*p = 3, 0 = -g + 5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340 and 5051660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/3230)\/((-2)\/8)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 36. Solve f - v = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, 1 n, and 1 h when four letters picked without replacement from vhvxxxvnxxnnxvh?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -2, 71, 144, 217, 290?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(315) + sqrt(315) - (sqrt(1715) - sqrt(1715)*-2 - sqrt(1715) - sqrt(35)))\/((sqrt(168)\/sqrt(6))\/sqrt(4) + (sqrt(7) - sqrt(63)\/sqrt(36))).\nAnswer: -38*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 96. Suppose 0 = -2*y - y + k. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u**3 + 304*u**2 - 1968*u. Let s(v) = -9*v**3 + 151*v**2 - 984*v. Let c(f) = -3*m(f) + 5*s(f). Find the second derivative of c(j) wrt j.\nAnswer: 18*j - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.168792929 to five decimal places.\nAnswer: 0.16879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467998 = 1437*z - 1460*z. Does 94 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/12 - 7*v**3\/6 + 142*v**2. Let g = 19 + -13. What are the prime factors of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 1. Let p(u) = 2*u**2 - 14*u + 10. Let m(s) = 4*f(s) - p(s). Let t(n) = 4*n**2 - 13*n + 13. Give -13*m(z) - 6*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681376*h + 2 = -4*s + 681370*h - 46, 2*s - 24 = 5*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1590 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2493*b**3*i**3 - 4*b**2*i + 62*i**3 wrt b.\nAnswer: 14958*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 7995039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-21))\/(5\/15). Suppose -6 = 3*x, -5*p - x - 2 = -2*p. What is the closest to p in 3, 1\/7, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 5*h + 3. Let q(d) = -4*d + 12. Let n be q(4). Determine y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(30)\/(sqrt(40) - sqrt(10))*6.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2304 - 996 - 992)*(-3*l**3 + 2*l**3 - l**3 + 3 - 3 - l**3 + (l + 4 - 4)*(12*l + 4*l**2 - 12*l) + 2*l**3 + 0*l + 0*l).\nAnswer: 948*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -370, 4, -63, -3, 1 in descending order.\nAnswer: 19, 4, 1, -3, -63, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1) - (80\/14 + 78\/273)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7 + 14 - 15*o**2 + 6*o**2. Let v(h) be the first derivative of 4*h**3\/3 - 3*h + 1. Determine -3*m(f) - 7*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - (-10)\/(-25)*5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -2\/11, -0.127, -2\/41 in decreasing order.\nAnswer: 4, 2, -2\/41, -0.127, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -437, -894, -1351?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 16. Put 2\/13, 0.01, o in decreasing order.\nAnswer: 2\/13, 0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1098*b**3 + 12*b**2 + 25*b - 4. Is 209 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 410, 45, -576, -1459, -2610?\n\"Answer: -c**3 - 122*c**2 + 8*c + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 737 or -45\/4?\nAnswer: 737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 364207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:54 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 0 = -o - w*o + 10. Suppose -4 = -p, -4*p + 7*p = 3*d - 75. Calculate the remainder when d is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigaiaiigagaii. What is prob of sequence aaia?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 2 - 3*y**3 + 45*y**2 - 13*y**2 - 18*y**2 + 3 in the form g*y**3 + l*y + q + n*y**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -91*q**2 + 5. Let o be w(-2). Let z = o - -596. What are the prime factors of z?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2413 and 773811.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.433 + 0.077. Let d = -0.78 - -1.49. Let w = d - l. Put -1\/3, -3, 3\/7, w in ascending order.\nAnswer: -3, -1\/3, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*4*-1)\/(-6*3*sqrt(54)).\nAnswer: 4*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*m - 16 - 10, m = -4*o - 4. Let l be 1904\/18 - o\/9. Suppose -2*k - 5*p + l - 3 = 0, 5*p - 5 = 0. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158, 1340, 4558, 10832, 21182?\n\"Answer: 170*u**3 - 2*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -6, -11, 1763 in ascending order.\nAnswer: -11, -6, -2, 2, 5, 1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -47971 (b) -1 (c) 5 (d) 0 (e) 1\/3 (f) -4\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pljx when four letters picked without replacement from jjlxjjjjjxjgpxxgjlj?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y. Let s(g) = -763183*g. Calculate s(j(c)).\nAnswer: 9158196*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 3*o**4\/16 - 7*o**3\/2 + 195*o**2\/8 - 75*o + 356. Factor k(d).\nAnswer: 3*(d - 5)**2*(d - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = a + 3*o, -82*a + 78*a - 3*o - 33 = 0. Let u(q) = -7*q - 46. Let n be u(a). Is n at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -14531?\nAnswer: -14550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + s = 4 + 2, -3*u - 2*s = 1. Let b be (-2034)\/(-60)*2\/9. Let t = -37\/5 + b. Is u < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 5}. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 11:33 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -790067 and 2.\nAnswer: -790065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -554 + 554.0000278. What is b rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 25. Let w be 4\/(-22) + (-46)\/(-11). Does v = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4608.8 - 4609.17754. Round r to three decimal places.\nAnswer: -0.378","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 16 = -2*w, 0 = -5*w - 4*z - 40. Let r = 24 + w. What is the least common multiple of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27252.3964 - 27257. What is o rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 4. Let u be ((-1)\/d)\/((-2)\/(-58)). Let v = u + -13. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 48, -67, -5, 18 in descending order.\nAnswer: 48, 18, -3, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120.04 + 0.1\nAnswer: 120.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.072971mm?\nAnswer: 0.3072971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Let s = -1 + 2. Let x be o(s). Suppose x = 4*d + 16, 3*v = 4*v - 5*d - 24. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20372 + -456?\nAnswer: 18815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**2 + 12*n - 14. Let q be d(6). Let c = q - -203. Calculate the greatest common factor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:26 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3079624588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-26)\/(-24) + 5\/20 and (-20)\/3*(-6)\/22.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 314769337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*j + 2 + 2 + 4 to the form c*j + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2481, 2325, 2065, 1701, 1233, 661?\n\"Answer: -52*q**2 + 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2\/3, 2, 25.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from lozalzlal.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-22) + (-1)\/((-440)\/120). Let n(q) be the first derivative of m*q**3 + 150*q - 42 - 15*q**2. Factor n(a).\nAnswer: 3*(a - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 66. Give o(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 7. Calculate the remainder when 2 - -4*(5 + -3)*(-1)\/(-2) is divided by f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3460 by 692.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9071, 7, -2, 1.\nAnswer: -2, 1, 7, 9071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175700 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4569 + (-16)\/80*65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543312 is divided by 38522.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 - 50*r**4 + 135*r**3 + 140*r**2 - 460*r + 240 = 0. What is r?\nAnswer: -12, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-7) + (-3 - -1). Let r be -4 + 4 + (-2 - -1). Let j be r + -2 + 1 + 4. Is o > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, u: 1}. Give prob of sequence un.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(99) + sqrt(11) - (sqrt(11)*-2 + 2).\nAnswer: -2 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03695 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s**3 - 13*s**2 + 2698*s + 2. Let f(b) = -50*b**3 - 51*b**2 + 10791*b + 9. Let o(y) = 2*f(y) - 9*q(y). Find the second derivative of o(r) wrt r.\nAnswer: 102*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/6 - 5*m**2\/2 - 9*m. Let y be z(20). Solve 2*b - y = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*r - 1 - 2*r**3 - 44*r**4 + 2 - 10*r - 87*r to b*r + f + k*r**4 + c*r**2 + a*r**3 and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3069*l**2 - 37*l - 1. Is 131 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 + 158*z\/3 + 157\/3 = 0. Calculate z.\nAnswer: -157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.36877 - 179.26823. Let n = -166.8 - c. Let x = 0.263 + n. Round x to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*a*r**2 + 23*a*r*y - 2*a*r - 24*r**2*y + 38*r**2 with respect to y.\nAnswer: 23*a*r - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -802*o**2 + 198*o + 404. What is p(-2)?\nAnswer: -3200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487370172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -896\/9 or 49171?\nAnswer: -896\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 3*z - 38*z**2 + 64*z**2 - 34*z**2. Let s(g) = 21*g**2. Give s(y(q)).\nAnswer: 1344*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/((-14)\/21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 = r, -2*s - 2*r = -0*s - 16. Calculate the least common multiple of s and 2636.\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-487*y**5 - y**2 - 3*y + 502*y**5 + 2*y**2)*((-1 + 0 - 1)*(-2 + 2 - 2) + 3 + 0 - 1).\nAnswer: 90*y**5 + 6*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 - 70?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 197469*h - 197459*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let c(y) = 4*y**2 + 6*y + 1. Let m(i) = 9*i**2 + 14*i + 1. Let w(n) = 7*c(n) - 3*m(n). Give w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by 961\nAnswer: -712\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -104, -181, -300, -467, -688, -969, -1316?\n\"Answer: -i**3 - 12*i**2 + 2*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oxc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 15. Let l be x(6). Suppose 0 = m - l + 4. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 494017554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146196696 divided by -6.\nAnswer: 24366116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/12 + 5*w**3\/6 + 2*w**2. List the prime factors of b(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16512)\/(-9792) - 12\/34.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*o - 178 = 0, o = s - 62 - 32. Suppose 0 = -3*k - k + s. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2. Let r(g) = -g + 9. Let h be r(15). Let t be (-1)\/2 + (-9)\/h. Suppose 0*o = o - t. Calculate d(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4 - -5)) + (-5 - -27) + 9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1409, 1821, 2285, 2801?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*a - 4*v + 46, 5*a + 1355*v + 38 = 1352*v for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/52 - -3\/13. Let p = 0.037 + 0.123. Is s greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21875461 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/7 - 596*j\/7 - 44402\/7 = 0.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*z + 3 - 6 + (2 + 2 - 5)*(z + 2 - 2) + 3*z - 6*z + 2*z - 6*z - 4*z + 4*z.\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(132)*2*2 - -1*sqrt(132)*1))\/(sqrt(1452)*2 - sqrt(1452) - (sqrt(12) - sqrt(12)*-3*-3)).\nAnswer: 5*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12 = 5*a - 2, 0 = 5*a + 2*o + 10. Let v be ((-6)\/3 - -2)\/a. Suppose 0 = -v*w + 5*w - 25. Solve -f + w*f = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeynhyyhgqqyyh. What is prob of picking 2 y and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 19*x. Let l(a) = -11*a**2. Determine l(i(r)).\nAnswer: -3971*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 826906309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n + 52*n - 21*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/22539 or 7882?\nAnswer: 7882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6943 is divided by 3468.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 208. Let p(g) = -1304*g - 3. What is p(k(v))?\nAnswer: -2608*v - 271235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 916015 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46448354?\nAnswer: 2, 31, 749167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/31883 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288)*2 - (sqrt(10)\/sqrt(5)*-4 + 3)) + -5.\nAnswer: -3 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from ooooozgozooooo?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 435.74 and -0.1?\nAnswer: -43.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3 - 1)\/(-3). Let u = -0.177 + 0.177. What is the nearest to u in q, 0.2, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 34 = -52. Suppose -2*z + 5*z - 3 = 3*f, -3*z - h*f = -9. Solve -3 + 1 = z*l - 3*y, 4*l = -2*y - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from jttjj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/(20\/200). Which is the second smallest value? (a) -5 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 96. Let c be a(28). Solve 3*z + 4*r + c = 0, -4*r + 8 = 4*z - 6*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a08 - bb46?\nAnswer: -b13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1637, 5, 10190 in descending order.\nAnswer: 10190, 5, -1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + -28. Suppose 1539*k = 1534*k. Is l at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -4 - 1 - (8 + -5 + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, 168, -3 in descending order.\nAnswer: 168, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**7\/2520 - r**6\/240 - r**5\/40 + r**4\/12 + 8*r**2. Let i(t) be the second derivative of z(t). Give i(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Suppose -y*r + 6*r = 5*f + 3, -5*r + 3*f + 17 = 0. Find the first derivative of -8*z + r*z + 2*z - 3 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 19. Let z be -3 + (-4)\/2 + o. Suppose z = -2*g + 7 + 13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20517 - -55873. Determine s so that 1331 - 14980 - c - 906*s - 3*s**2 - 2*s**2 - 84*s = 0.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 37 + 35. What is the greatest common factor of 72 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*f, 2*f + 0 = -c - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -29*d**2 - 1108*d + 5783. What is q(-43)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17385 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -11 - -1) + 2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w - 102*w = -16031. List the prime factors of w.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13306, 13612, 13918, 14224, 14530, 14836?\nAnswer: 15142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23206 or -1?\nAnswer: 23206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 127. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**3\/3 + 7*n**2\/2 - 4*n - 3. Let r be h(6). Suppose -2*z - 3*q = -9, z - q = r*q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 - -100 - (-4 + -28)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h - 11. Let s(y) = y - 13. Determine f(a) - s(a).\nAnswer: 13*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45820.39 millilitres to litres.\nAnswer: 45.82039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 + -10?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - c + 236 = 0, 4*c + c = 4*d - 302. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*d - 109*d = -102*d + 3296 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 52 = -4*b, -10*b + 5*b + g + 9 = 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2 + 10. Give t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269468 (base 12) to base 13.\nAnswer: 1946b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23158319 to the nearest integer?\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 11612*n\/11 + 16854818\/11.\nAnswer: 2*(n + 2903)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -195, -386, -553, -690, -791, -850, -861, -818?\n\"Answer: h**3 + 6*h**2 - 216*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -539? (a) 0.3 (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(0 + 0 - 6) + 577*q - 49*q - 62*q.\nAnswer: 454*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 6. Let z be u(6). Let k = -0.7 - -0.6. Let b = 170 - 166. Put z, k, b in ascending order.\nAnswer: k, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.86 - 330.14. Let t = m + 335. What is the nearest to t in 4, -1, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/13 - 31866720*f\/13 + 126935980444800\/13 = 0 for f.\nAnswer: 7966680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 310 + 45 = 0. Suppose -130 = -s*x + 66*x. Let b(f) = f**2 + 5*f + 20. Let a be b(7). What is the greatest common divisor of a and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = -3. Let a be (-1)\/j + 8\/3. Suppose 2*k + 24 = 5*w, a*k + 2 = w - 8. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7025756 and 439?\nAnswer: 7025756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 38. Let g be 2\/4*(-2)\/(-5). What is the biggest value in g, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 5. Let x(p) = -4 + p**2 - 2 + 4. Let d be -1 - 11 - (-6 - -8). Let z = 11 + d. Determine z*m(y) + 7*x(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**5\/5 + v**3\/3 - 6. What is the third derivative of b(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -23 - 31. Let j = 13590 - 13606. Are j and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -730*t**4 - 7*t - 778. Let z(x) = -1459*x**4 - 15*x - 1556. Let y(m) = 13*l(m) - 6*z(m). What is the second derivative of y(g) wrt g?\nAnswer: -8832*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:50 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 3472296648 and -8.\nAnswer: 3472296640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 570620.17999825 + -570619.1. Let j = x + -1.08. What is j rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251100 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -10, 229 = 2*m + 2*m + 3*u. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 822339 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g - 14 = -124*g - 4*f, 0 = g - 4*f + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 472644 and 3420?\nAnswer: 2363220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 12*o - 3*o + 15*o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 7)*(9*d + 3 - 5 - 7*d)*(3 + 2 - 4)*(3 - 3 - 2) to f*d + t and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/(-4))\/(12\/16). Let p be (-1 + 1)*(-1)\/2. Suppose p = 5*w - 18 - t. Calculate the remainder when 15 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -58*q**3 - 403*q**2 - 2*q - 167. Calculate t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*n**3 + 507*n - 507*n + (-4*n**2 + 3*n**2 - n**2)*(n - 2 + 2)*(-3 - 1 + 6) to the form x*n + m*n**3 + v + h*n**2 and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 40394?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8972412702.000000197 - -8972412617. Let p = -85 - h. Round p to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -19 - (2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10720868, -10720874, -10720880, -10720886, -10720892, -10720898?\nAnswer: -10720904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -257*g**2 + 20*g + 500081?\nAnswer: -514*g + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12046 = -75*j + 31*j + 626. What is the highest common factor of 2400 and j?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 - 253. Suppose -6*q - 819 = -s*q. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/125, -3, 38, 0.3, 4\/5, 2\/13?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255 is divided by 117?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13100 + 0*o - 52900 - 4*o. Let b be i(0). What is b rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, r: 1, j: 1, f: 1, c: 1}. Give prob of sequence lr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 561 + 157. Calculate the remainder when j is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/470098 and 101\/6?\nAnswer: 1410294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.146711354 to 4 dps.\nAnswer: 0.1467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) -97\/17 (c) 2\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198275, 396553, 594831, 793109?\nAnswer: 991387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-648)\/270)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/23))**(-25\/2))**(-1\/28))**1 assuming g is positive.\nAnswer: g**(-25\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733*v**2 + 1732*v**2 - 3466*v**2 - 70117.\nAnswer: -v**2 - 70117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*o - 36 = -6 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.5. Let i = 12 - 13. Let u = 0.7 + i. What is the third smallest value in u, k, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 15*t**2 - 28*t - 38. What is h(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/45*(2763\/(-2456))\/((-6)\/(-32))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150114.\nAnswer: 2, 3, 127, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/15 + 2 + (-696)\/120. What is the nearest to -2 in 0.3, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1280694876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 777*c + 386*c + 394*c - 6, -7*w + 2*c = 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45984631 divided by -77?\nAnswer: 597203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5770*j**2*n**3*u**2 - 1950*j**2*n**2*u + 2*j*n**3*u**2 - j*n**2*u**2 + 4*n*u**2 + 2*n*u wrt n?\nAnswer: -34620*j**2*u**2 + 12*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 133 = -n + 2*n, 0 = -4*h. Suppose -2*j + n = 5*j. Suppose j*s - 8202 = 13*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/707 and 59\/472262.\nAnswer: 47698462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**7\/84 + 2*b**6\/45 - b**3 - 16. Let u(h) be the third derivative of c(h). What is the third derivative of u(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126869565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/(-4)) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 0*d**2 + 3 + 1 + 0*d**2 as j*d**2 + t + v*d and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m + 2. Let f(l) = 20*l + 7. Let s(r) = 6*f(r) - 17*j(r). Let g(q) = q**3 - 4*q**2 + 3*q - 6. Let z be g(3). Let o be s(z). Solve -5 = -u - o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1284 = -10*y + 3564. What is the remainder when y is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46582?\nAnswer: 2, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4338 + -143153\/33. What is the nearest to i in -0.4, 2\/17, -1\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1275.158 - -1274. Let t = -1.157999429 - x. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33 and -25?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffftftftf?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.315 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2246943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504\/28*(40\/(-45))\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, z: 3, k: 6, d: 5, u: 1, r: 1}. What is prob of sequence zddg?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 35*o + 72. Let h be i(32). Let n be (2\/(-3))\/(h\/396). Calculate the highest common divisor of 121 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)*y**(-2\/13)*y\/(y\/(y*y*y\/(y\/(y\/y**4))*y*y))*y*y*y**0*y assuming y is positive.\nAnswer: y**(161\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -66, 0.05, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 5 - 9\/(27\/6). Let u be -10 - (1 + -8) - (-9 - x). Solve 0 + 14 = 4*r + 2*v, -r + u = -3*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4*n**2 - 28*b**3*n**3 - 2*b*n**3 - 6*b*n - 12 wrt b.\nAnswer: -36*b**2*n**2 - 168*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24*-0.8198\nAnswer: 19.6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.295 not equal to -2831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137552 is divided by 67270?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690517113?\nAnswer: 2351, 719063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.2 - 3.3. Let u = -9 - t. Let z = u - -0.5. Put -0.5, -4, z in decreasing order.\nAnswer: -0.5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101 - 784 - 749 - 827 - 741 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j + 1. Let m be i(5). Let d = m - 4. Suppose 0 = 3*c - 2*h - d + 29, 3*c - h + 24 = 0. Round c to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104207*c**2*v**3*w - 60*c**2*v**2*w + 168788*c**2*v*w + 26*c*v**3*w - c*v**3 wrt v?\nAnswer: 625242*c**2*w + 156*c*w - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173.28 or -3.565?\nAnswer: -3.565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = 3*j. Let n be 2\/(-6) + 11\/j. Let p be (0 + 2)*(n - -3). Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 267*z**2 - 150*z**2 - 119*z**2 - 5 - 13*z in the form m*z**2 + o*z + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = -2*m, 4*p + 220*m + 32 = 222*m for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -1. Let t(g) be the first derivative of g**4\/4 + 10*g**3\/3 + 4*g**2 - 9*g - 5. Let c be t(-9). Solve -u + 0 + x = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.38 - 0.52. Let m = -0.33 + 25.33. Let p = m + s. Which is the closest to -0.1? (a) p (b) 1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 12*g - 3. Let v be i(-13). Let h(a) = 2*a - a + 8 - v. Determine h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.35306 millimeters to nanometers.\nAnswer: 20353060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j - 6. Let d be t(8). Let i = 863\/6 - 143. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by (-6)\/(-8) + 1845\/164.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.5 - 14. Let d = 0.45 - m. Let g = -0.25 + d. Which is the closest to 0? (a) -4\/7 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 70 = -5*o, -7 = -3*m + 8. Let q(h) = 6*h**2 + 3*h + 3. Calculate the remainder when q(-4) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 20. Suppose 10*y = s*y. Suppose y = u + 3*k - 124, 3*u + 4*k - 366 = k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7711116 divided by 15673?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5885190 to the nearest one hundred thousand.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwp when three letters picked without replacement from wwwwwppppw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 4, c: 3, b: 1}. What is prob of picking 3 c and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6)*-1)\/2*4. Let k be b\/(-3 + 65\/10). Factor k*u - 2\/7*u**5 - 4\/7*u**4 + 0 + 0*u**3 + 4\/7*u**2.\nAnswer: -2*u*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 + -21.1. Let j = -479.5 - -461.109. Let i = j - h. Round i to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*(sqrt(847)*2 + sqrt(847)) - sqrt(847)))**2 + 5 - (sqrt(77) + sqrt(77) + sqrt(77)*2*-2)\/((sqrt(11) + (sqrt(11) - -3*sqrt(11)))*-3).\nAnswer: 6268*sqrt(7)\/15 + 305773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3547718 litres in millilitres?\nAnswer: 354.7718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -595 by -1.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*p + 10 = -2, -4*p = 4*d. Suppose -d*c + j + 18 - 6 = 0, -15 = -c + 5*j. Find the common denominator of -7\/22 and 34\/c + 1\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 7) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/20)\/3 + 28\/(-20). Let n = w - 5. Let m be (38\/6 + -3)*n\/(-4). Solve -m*x - y = 0, -3*y = -0*x + 2*x + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7582*n**3 - 286*n**3 + 4161*n**3 + 13844*n**3.\nAnswer: 25301*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -1 - (16 + -3 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-14)*q*q**6*q*q**8*q**(6\/5) assuming q is positive.\nAnswer: q**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010000111 - -100?\nAnswer: 101010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201, 1571, 5317, 12639, 24737, 42811, 68061?\n\"Answer: 200*s**3 - 12*s**2 + 6*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185896*t - 92949*t - 6 - 44*t**2 - 92947*t.\nAnswer: -44*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 111806 + 111646 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5 = 5*v, 3*j - 2*v - 10 = -27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 + 101*u + 14. Determine n(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13690.459 to the nearest 100.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/(-4))\/(49\/((-50568)\/24)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*t - 3*t + 110*t - 40*t + 89*t as f + s*t and give s.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006147 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537522 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235754446 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyyyvxxpxyxyyyyyyy. What is prob of picking 1 x, 1 p, and 1 v?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4 + 4 - 2)*(320 - 198 - 562*v - 122).\nAnswer: 2248*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2122 + 3992. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)*(-3)\/(-3). Let q be w + 1 + (-3)\/3. Let o = q - -6. Which is the second biggest value? (a) 5 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481182693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-28)\/(-8))*(-6)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*1197085.\nAnswer: -11970.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23627722 and 102255.\nAnswer: 354415830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3 - (0 + 1)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let f = -3 + q. Let l = 29.18 + -31.18. What is the third biggest value in l, -3\/10, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(19\/2)*b))\/(b*b**10)*(b\/b**(-20\/9))**(-40) assuming b is positive.\nAnswer: b**(-2365\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2 - 33*w - 33. Determine k(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5352, 10705, 16058, 21411?\n\"Answer: 5353*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 11*f - 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let p = 99 - 27. Suppose y = 4*s - p - 44. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465421 (base 8) in base 12?\nAnswer: -77869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -151cd?\nAnswer: -151ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 0*j**4 + 0*j**4 + (0*j**3 - 2*j**3 + 0*j**3)*(0 + 2*j + 0) + j**3 - j**3 - j**4 + 4*j**4 - j**4 - 5*j**4.\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11249068584 and 2.4?\nAnswer: 11249068586.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 338\/7, -569, -1, 1\/4 in decreasing order.\nAnswer: 338\/7, 5, 1\/4, -1, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4504246 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7684928 - -7684928.99999904. Let u = -0.3 + 1.3. Let y = u - s. Round y to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 659\/5 or -0.21?\nAnswer: 659\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 11914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8507 + 8506.9975316. Round k to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150473701 - -0.2\nAnswer: -150473700.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 66. Sort y, -3, 6 in descending order.\nAnswer: 6, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - 20 - (54 - 17 - 2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51315 (base 6) in base 2?\nAnswer: -1101010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 48*y + 9. What is the units digit of h(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mzmmnmmnomzmnzmmmz.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.4 and 4?\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2977, 7, -0.06, 2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202023 (base 4) in base 12?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**3 + 9*c**2 + 4*c - 15. Let p(b) = 12*b**3 - 16*b**2 - 8*b + 29. Let s = 25 - 22. Let m(r) = s*p(r) + 5*z(r). Find d, given that m(d) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaiihiiilaaihalk. What is prob of sequence ii?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) -2 (c) 24\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 860706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185350473 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.734 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 891aa - 0?\nAnswer: 891aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 22. Determine g(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.866632l in millilitres?\nAnswer: 866.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1315\/2 - 654. Let m(h) be the first derivative of 0*h + x*h**2 - 5. Let v(l) = l. What is m(v(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313210 - -33033?\nAnswer: 3012303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 44. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 5:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 21 + 76 - 21 - 1033*v - 20 as w + f*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2)*s*s))**(-9))**(1\/55)\/(s**(1\/3)*s**(-1\/3))**(21\/4) assuming s is positive.\nAnswer: s**(-9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -94d55?\nAnswer: -94d55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80299 + 129268. What are the prime factors of i?\nAnswer: 3, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65832 - -172982. Round a to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 3*b**2 - 3*b. Let v be g(2). Let i = 5 - 0. Let z = v + i. Solve z*p + 4 = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7583594 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/31))\/p)**(-16)*p**(5\/13)*p\/(p*(((p*p\/p**(-3))\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-1067\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*44.5.\nAnswer: 311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/c**(2\/5))**(-45)\/((c**(-2\/21)\/c**(2\/9))\/((c*c\/(c*c\/(c*(c*c**(-4)*c)\/c)*c))\/c**(-5))) assuming c is positive.\nAnswer: c**(-10060\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 + 1 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 3*m + 3*m)*(5*m**2 + 3*m**2 - 5*m**2)*(0*m - 2*m + 5*m).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -515 (c) -18 (d) -5\/3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - c - 4. Suppose 0 = -4*q - 22 + 10. Calculate the remainder when g(q) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.48? (a) 0.3 (b) -52 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.6. Let m = -221 - -219. Let x be 5\/20 + (-30)\/24. What is the nearest to i in 1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 34 - 128. What is the least common multiple of 14 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020021 - 101012020?\nAnswer: -22221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-4 - -7) + 1*308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 5*w + 8. Let g(o) = o**2 + 1. Let k(v) = -4*g(v) + l(v). Let h be k(6). Solve -3*i - 3*j - h = -8*j, -2*j - 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 0*o)*(2*o + 5*o - o)*(7*o**2 - 3 + 3).\nAnswer: -42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*m - 66 = 0, 0 = -s - 4*m - m - 22. Is (-30)\/s*(-24)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.8 or 15\/4?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -32 + 2. Let v(o) = -u*o**2 + o**3 + 9 - 19*o + 26*o + 13*o**2. Calculate v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, 1, 21\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i - 126*i - 130*i - 121*i + 830*i - 212*i - 122*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 278*w + 383. Is z(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krbpkrmmbmblkbl. Give prob of sequence llkm.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 - 6524*t - 5201*t + 4332*t - 6088*t.\nAnswer: -20*t**2 - 13481*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 8*q + 13. Let i be k(9). Find the first derivative of 2 - 5 + 7 + 5 - 9*b**i wrt b.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and -22.\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -17299.\nAnswer: -17299, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzsvfuutssutszv. What is prob of sequence vfs?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163864052?\nAnswer: 2, 11, 23, 161921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -30. Suppose -r = 2*f + 1. Find the common denominator of -33\/8 and (-345)\/100 - 4\/f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 109, 166, 225, 286?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*-3*(-6)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Let o(r) = 6*r**2 + 2*r - 8. Let l(d) = o(d) + 10*x(d). What is the least common multiple of 7 and l(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31104 divided by -16.\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhvh when four letters picked without replacement from {x: 13, v: 2, d: 1, u: 1, h: 3}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26, 2 in decreasing order.\nAnswer: 2, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018898045 to five dps.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/120 + q**5\/12 + 5*q**4\/24 + 5*q**3\/6 - 3*q**2. Let y be h(5). Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-6) + (-114)\/(-171).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44547901777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-270)*3\/1*2\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1148 and 336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40909220 to the nearest integer?\nAnswer: 6396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:12 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622 - 1622 + 149*i + 703*i + 255*i.\nAnswer: 1107*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 156945937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 15309 + 15309.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -564 + 567. Which is bigger: 6\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 9*d - 8. Let r(y) = y**2 - 3*y - 2. Let j be r(-2). Let p be a(j). Solve -5*g + g = -4*c, -2*c - 3*g + 25 = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -17. Let m be (-36)\/(-189) + a\/(-6). Let x be (-2 + (-5)\/(-2))\/5. What is the third smallest value in x, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**19*(k*k**(-10\/7)\/k*k)\/k)\/(k**(-18)\/k**(-20\/7)))**31 assuming k is positive.\nAnswer: k**(-930\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -17) + -2 + 0. Let f(q) = -q**2 + 12*q + 4. Let w be f(12). Solve -p*u + 4*b - 6 = 0, -3*u - 4*b = -w*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -2748?\nAnswer: 2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-6)*(0 - -3). Let z = -14 + p. Let i(d) = 5*d**3 - 3*d**2 + 3*d - 3. Calculate the remainder when i(z) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 3*g**2 - 4*g + (-2*g + 0*g + 5*g)*(-3*g + 3*g + 5*g))*(-2*g + 3*g + 0*g) to h + f*g**3 + k*g**2 + a*g and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.717 * -3.8392\nAnswer: -2.7527064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 15, -3*m = 10285*w - 10286*w + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/3)\/(-16) - 368\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = 0. Suppose r = -2*s + 4 + 2. Solve -4*o = s*h + 26, 3*h + 11 = o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 638, 960, 1282, 1604?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 18 + 4\/3*i**3 + 0*i**2 - 20*i. What is the first derivative of s(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3960*f + 23767. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35 and 31\/3192?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 59*k**2 + 7*k + 483*k**2 - 1 - 98*k**2.\nAnswer: 326*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36730*m**4 - m - 38877?\nAnswer: -440760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8 and 21\/718036?\nAnswer: 1436072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.1 and -264733.\nAnswer: -264706.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -4\/7, 4, 62?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*h + 5, 4*h + h = 5. Let s be 4\/q - (-842)\/5. Let y = -86 + s. Calculate the remainder when y is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 732595 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*-2*6 + sqrt(117)) - (1*(sqrt(117) - (-1*sqrt(117) + sqrt(117))) + sqrt(117) - (sqrt(117) - (sqrt(117) + 2))*2))**2.\nAnswer: -1272*sqrt(13) + 328669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -69. Is k < -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16479 + -7869. What are the prime factors of f?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 + 5.3. Let t = -54391.6 - -54389.499928. Let u = m + t. Round u to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 0*i + 0*i)*(0 + 0 - i)*(i**2 - 3*i**2 + i**2)*(0 + 1 + 1 + (-5 + 1 + 6)*(3 - 3 + 1)).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -692758*b - 6234832. Give k(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 1, 12, 29?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -248*j**2 + 30*j - 49. Let y(s) = 83*s**2 - 10*s + 14. What is 2*t(g) + 7*y(g)?\nAnswer: 85*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdjdto. Give prob of sequence ttd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.17 and 51\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*-25*2. Let w = o + -28. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1301 - -205. Calculate the remainder when c\/(-22) + 28\/154 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.7 + 7.9. Let x = 516 - 517. Sort t, 4, 2\/3, x in decreasing order.\nAnswer: 4, 2\/3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-8)*(-112)\/(-6664)*4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 3) to base 16\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -19 - ((-2 - -2) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66419 and -2.\nAnswer: -132838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/12 - 5*y**2\/4 - 25*y\/4 - 11. Suppose p(i) = 0. What is i?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, x: 5, q: 4, w: 1, t: 4}. Give prob of sequence xt.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.056, 2\/15, -0.01, 0.0908?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*o = 3 - 12, 5*r + 5*o = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(-22)*8*(-2)\/(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z + 10. Let t(r) = -7*r - 7. Let y = 17 + 10. Let n be (y\/(-6))\/(18\/(-8) - -3). Let d be (105\/n)\/5*2. Determine d*t(m) - 5*k(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-6) - -2)*(-12)\/(-40). Is v > -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 2*n + 2 = -61*p, 2*n = 4*n + 2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2726423, -2726410, -2726397, -2726384, -2726371, -2726358?\nAnswer: -2726345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = -4*b + 223, 0 = -532*b + 531*b - 2*l + 42 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2))**(7\/6)\/((b*b\/b**(8\/9)*b)\/(b\/(b*b**(1\/5)*b))) assuming b is positive.\nAnswer: b**(-281\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:39 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/49 and (2\/16)\/(23\/(-3450))?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27972 + -20.31072. Let t = 0.031 + y. What is the fourth biggest value in t, -1, -1\/11, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/11 - 12\/11*f + 2\/11*f**2.\nAnswer: 2*(f - 8)*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/22)\/(3\/(-2) - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76*((-3)\/5)\/(-3*80\/100).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l - l + (-4 + 2 + 3)*(l - 4*l + l) - 35*l - 9*l + 3*l)*(-6 - 14 - 3) in the form j*l + n and give j.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 2, x: 1}. Give prob of sequence xpdp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 l when three letters picked without replacement from {l: 2, n: 2, q: 5, o: 5, a: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 - -359. Put a, 2, 4, 130 in ascending order.\nAnswer: a, 2, 4, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1987260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 6223?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1\/12*b**4 - 3*b + 0*b**3 + 0*b**2 + 1\/14*b**7 + 0*b**6 + 0*b**5 + 0. What is the third derivative of z(d) wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7549507 millilitres?\nAnswer: 0.0007549507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baab when four letters picked without replacement from {b: 2, a: 3, g: 2, k: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2941196 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-10)*(-5)\/(-2). Solve -k*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -34*d - 1. Determine b(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*d**5*j + 2*d**3*j - 6928*d**3 - 52*d*j - 2*d + 31*j + 3 wrt d?\nAnswer: -260*d**3*j + 12*d*j - 41568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957127 is divided by 1028?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-7 - 3))\/((-2)\/368). Let x = -395 + n. What is x rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -48*c + 3*c + 528 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - -1.25. Let b = z - 1. Let n = b + -0.401. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (31 - 3655\/129).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(160) - (sqrt(30)\/sqrt(6) + 1).\nAnswer: -3*sqrt(5)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8)**(-31)*(q*q**(-1\/7))**(-4\/27) assuming q is positive.\nAnswer: q**(-15632\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 6*z**2 + 5*z + 3. Let n be f(-8). Let m = n - 86. Solve g + b = 4*g + 9, 5 = m*g + 5*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by 1.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 363*-0.17419\nAnswer: -63.23097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103199930, 206399859, 309599788, 412799717, 515999646?\n\"Answer: 103199929*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/580038 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l = -63*l - 788. Let d = l + 429. Is d equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 35*q - 224 = 0. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139 - 5*x**3 + 139 - 12*x - x**3 + 0*x**3 - x**3 + (2*x**2 + 1 - 1)*(-2 + 2*x + 2).\nAnswer: -3*x**3 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*365\/(-130) + (-34)\/1768*-8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161312 divided by -284.\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -25*f + 20*f + 4*u, -2*f + 7 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 910256 not equal to 910256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*v - 7166, 4*q - 8007 = -v + 1526. What is the greatest common divisor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 7*s**6\/60 + 2*s**5\/15 - 17*s**4\/12 + 2*s**3 - 8*s**2 - 5*s. What is k in b(k) = 0?\nAnswer: -2, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 4 + (-2 + 0 + 3)*(-1 - 3 + 3))*(-3*q + 2*q + 0*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -9 in decreasing order.\nAnswer: 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j - 17. Let d be (-161)\/(-35) + 7 + 2\/5. What is the units digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4703.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 4*y. Let t be (-3)\/2*(462\/(-9))\/(-11). What is the remainder when w(t) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-228)\/133)\/(-3))\/((-32)\/(-1456))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*p**2 + 171*p.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/4 - 3889433*n**2\/2 - 3781924210088*n - 7563840641312 = 0.\nAnswer: -3889432, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -104029.\nAnswer: 20805.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 - sqrt(114))*6 - sqrt(114) - (sqrt(114)*-1 + sqrt(114))*6)\/(3*(sqrt(150)*-2 - sqrt(6))).\nAnswer: 13*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:37 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -16*o + 18*o. Let q(v) be the first derivative of 1\/6*v**6 + 1\/4*v**4 + 1 + 0*v**2 + 0*v - 2\/5*v**5 + 0*v**o. Factor q(i).\nAnswer: i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 - 10 = 0. Suppose 2*d = f*d - 116. Suppose d = 2*y + 2*g, -7*y - 3*g = -3*y - 118. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*a + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*w = -591736 - 49276 - 103997. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45214.3319 + -45212. Let z = 0.7271 + x. Let y = z + -0.059. Put 0, -13, y in decreasing order.\nAnswer: y, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101000101011111001000?\nAnswer: 101000101011111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.6. Let q be ((-8)\/18)\/(6\/9). Let g = -1 - -1. Which is the nearest to g? (a) -1\/5 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c + 10. Suppose n + 4*j = -15, -c*n = -0*j + 5*j + 15. Let f = 95 + -40. Calculate the greatest common factor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 12 - 4 = 3*h, 0 = -3*h - 2*r - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.7*1.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 72697159164 and 12.\nAnswer: 72697159176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 1, n: 1, c: 1, k: 5}. What is prob of picking 1 k and 2 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1096 and 108*(22\/(-6) - (9 + -8)*-5)?\nAnswer: 19728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -3113?\nAnswer: -3095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wczecyex. Give prob of sequence wcx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and 1.1?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a - 8. Let n(x) = 72*x - 52. Let y(c) = 2*n(c) - 13*r(c). Let u(q) = -q + 479. Give y(u(g)).\nAnswer: -g + 479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -10*s**2 + 5\/168*s**8 + 0*s**5 + 17\/24*s**4 + 3 + s**3 + 0*s**7 + 0*s - 1\/10*s**6. Find the second derivative of b(n) wrt n.\nAnswer: 200*n**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09026431 to 3 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 6 - 2*y + y.\nAnswer: -y + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-42)\/15 - -3). Let d(m) = 9*m - 5. Is d(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/56*28\/21.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 143*v + 564, -5*u = 3*v - 0*v + 108 - 116 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 + u + 1. Let r(a) = 4*a**2 - 4*a - 5. Suppose 5*g - 426 + 406 = 0. Give g*m(j) + r(j).\nAnswer: 4*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*h + 5, -59254*w + 2*h - 5 = -59253*w. Let f(c) = -66*c. Let z(t) = 0*t + 0*t + 7*t. Calculate w*f(q) + 48*z(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmmcmmmmmmm. What is prob of sequence mcc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + x - 2. Let l(s) = -3*s**3 + 2*s**2 + 2*s + 1. Let q be l(-1). Let b = q + -3. Let o(d) = d**2 - 1. Give b*a(c) - 3*o(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, n: 1, y: 1, i: 1, x: 3}. Give prob of sequence nxa.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66\/939533 or 0?\nAnswer: 66\/939533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548202 - 134*x + 121*x + 548202.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - d**3 + 3)*((-1 + 3 - 3)*(62 + 5 + 36) + 1 + 4 - 2 + (-2 - 1 + 2)*(1 - 3 + 4) + 2 - 5 + 2) in the form v + u*d**3 + b*d**2 + a*d and give u.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(44))**2*-1 - (sqrt(99) + 4).\nAnswer: -2*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiwiiwihbwwohhwikwhi. What is prob of sequence ib?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/5 and -26\/173.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 633096 and 756.\nAnswer: 4431672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s - 56*s + 20 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69660443 or 69660450?\nAnswer: 69660443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) 5 (c) -8 (d) 4 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {g: 14, c: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1700) + 3 + 1 + ((sqrt(68)*-2*6)\/sqrt(4) + 1)**2.\nAnswer: -14*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - 4*-2*1. Let r(p) = -c*p - 1 - p**2 - 4 + 14*p. Let a be r(9). Solve -i - a*i = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.941 + 2.059. Let y = 0.99 + -1. Let a = m - y. What is a rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 23*z - 20. What is the remainder when 6 is divided by m(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p**3 + 46*p**2 + 91*p + 9. Let l be o(-2). Solve -v + 111 - l = 2*y, 1 = -y - v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.9 - -41. Let c = a + -3.10000118. Round c to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s + 58. Suppose -2*u + 2*d + 7 = -s, 4*d = 5*u - 88. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let y(q) = 80*q**3 - 6*q**2 - q. Determine 6*a(k) - y(k).\nAnswer: -80*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285.02 + -284.62. What is the nearest to z in 5, 0.1, -0.2, -99?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 - 2*v\/9 + 8\/3.\nAnswer: -2*(v - 3)*(v + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -34*x - 920. Calculate o(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 135*m**2 + 17. Is v(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*c - 1 = 2, -c - 2 = 0. Let h = i - -7. Suppose 5*f = 4*f + h. What is the smallest common multiple of f and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2685 and 12.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, p: 2}. What is prob of sequence bbb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102*4*4\/12. What is the highest common divisor of j and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219.1659 + 0.0341. Let l = q - 194. Let j = l + -23.31. Round j to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20810 - 353772\/17. What is the nearest to 0.68 in m, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 3, -0.34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -9. What is the remainder when 23 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217\/(-2821))\/(36\/(-546)*-14).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 12. Find the second derivative of -r*w - 20*w**2 + 24*w**2 + 0*w wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5933*t**2 - 477*t?\nAnswer: -11866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61.78643*-4\nAnswer: -247.14572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4, 4*g - g = 5*u + 209. Suppose 0*i = 3*i + g. Let r = i + 25. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60730672 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -448?\nAnswer: -134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2*a. Let v(d) = d**2 - 3*d - 7. Let x be v(5). Let n be w(x). What is the first derivative of -36*f**n - 7*f**4 - 6 + 36*f**3 wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3545 = -4*c, p - 5*c = 376 + 813. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 203.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55285.467 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (11 + -5 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 20. Put -5, a, 6 in increasing order.\nAnswer: -5, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1296795*d**4 + 48*d**2 + 36*d - 6 wrt d.\nAnswer: -31123080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(638\/12) + 47500\/1375.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(13\/2 + -2). Let a(x) = 2*x**2 - x - 4. Let k(g) = 2*g**2 - 3. Give j*a(p) + 4*k(p).\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*y - 16, y - 7 = -3*h + 5. Sort h, 3, 5.\nAnswer: 3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(0*k + 0*k - 2*k**2) + (k - 3*k - 2*k)*(44 - 44 - k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4\/3, 4, -1\/8, -60, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = -3*h, 3*h = 63*v - 59*v + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7 + 31. Let o be 3\/(-2)*a - 2. What is the lowest common multiple of ((-14)\/(-5))\/(2\/o) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6544.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaa. Give prob of picking 1 a and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83107*w + 1 - 87606*w - 1 + 170683*w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-4))\/(117\/78)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {s: 2, r: 2, d: 1, k: 2, n: 1, e: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 + 115. Let t = -2 + 4. Solve 15 = -3*q + 5*z, h*q = z - 1 - t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, y: 11}. Give prob of sequence yyvy.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37.29 and -1.\nAnswer: -38.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.058, 1\/2, -0.2, -0.5 in ascending order.\nAnswer: -0.5, -0.2, 0.058, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 4642000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 + 21*r - 131. Calculate v(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m + 8*m + 4 + 0*m - 3. Give r(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p + 0*p - 2*p)*(2 - 3 + 3) - 9 + 9 - p)*(-1 - 2*p**2 + 1)*(-6 + 10 + 3 + 2 + 1 - 6 + (0 + 1 + 1)*(-4 + 1 + 2) - 2 + 6 - 2).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2646 minus 153.623?\nAnswer: -153.8876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.42902 rounded to 1 decimal place?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184405 is divided by 14093.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Let d = -4.999965 + i. Round d to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 6*x + 10 = 0. Suppose -1880226 + 90681656 = -x*f. Let j = 11260286 + f. Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}