diff --git "a/data/dm_maths/full_data/11228_11255.jsonl" "b/data/dm_maths/full_data/11228_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11228_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (x**(2\/33)*x**(-6\/5)*x)**(7\/3) assuming x is positive.\nAnswer: x**(-161\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-26)*b**(-24) assuming b is positive.\nAnswer: b**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274, -275, -246, -175, -50, 141, 410, 769?\n\"Answer: 2*j**3 + 3*j**2 - 24*j - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180506930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 - 109. Let b be -9*2\/4*-10. Calculate the greatest common divisor of w and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -2382?\nAnswer: -1667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385990 (base 12) in base 10?\nAnswer: 922428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*x - 3 - 9, -x = 5*f - 46. Factor 3*j**4 - 2*j**2 + f*j**3 - 6*j**4 - j**3 - 4*j**2.\nAnswer: -3*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -75*j + 2426. What are the prime factors of b(0)?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/21 + 5579\/21. Is 263 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -24. Let u = m + 11. Let d(v) = v**3 + 5*v**2 - 17*v - 9. Let i be d(-7). Solve -4*r = u - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g - 18. Give b(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 = -x, 15 = 6*x - x - z. Suppose -10 = -x*a - a. What is the second derivative of 2*s**a + 1 - 3*s - 1 + 0 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29034 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243213617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -510*p**3 + 570440*p - 675874203?\nAnswer: -1530*p**2 + 570440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79800 and 83300.\nAnswer: 9496200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14165 is divided by 3537.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-45) + 1)*2225\/267.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from molpvmlmom. Give prob of picking 2 l and 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 6*l - 9. Let s be b(6). Let m = s + -1. Put 0, 1, m in descending order.\nAnswer: 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**4 - h**3 - 3*h**2 - h. Let k(r) = -5*r**5 + 9*r**4 + 14*r**3 - 37*r**2 + 39*r - 8. Let t(d) = 3*c(d) + k(d). Solve t(o) = 0.\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 0.03, 0.23, 47\/3, 1?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from llavfllvlv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*j + 35*j - 6664 = -0*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10925060.\nAnswer: 2, 5, 546253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ussiuissiusslssssssi. What is prob of sequence is?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1672 and 608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1392.\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 29 = -3*s, 1 = s - 4*o + 24. Let y(v) be the second derivative of v**3\/6 + v**2\/2 + 2*v. Calculate y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -4. Let q(g) = 4*g + 5 + 2 - 2. Let z(b) = -2 + 5 + 3*b - b. What is s*q(u) + 5*z(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyeyyevlyyyvyevvy. What is prob of picking 2 v and 2 y?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737917949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 e, and 1 s when four letters picked without replacement from trnhehettsntseshh.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 3*x**2 + 28*x + 97. Let r be k(-4). Is -15\/172 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x)*(3*x + x - 5*x) - 2*x**2 - x**2 - 3*x**2 + (0*x - 3*x + 4*x)*(-x - x - x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1356149 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9171311 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(x**2 + 0 + 0) + 3*x**2 + 85 + 14 - 25 + 26 + 3*x**2 in the form i + d*x + h*x**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*d + 171*d - 56*d + 477. Sort -2\/11, d, 20, 0.1 in descending order.\nAnswer: 20, 0.1, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - 0) + 10 - (41 + -46).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 287084 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 6*t - 2 - 18*t - 25*t - 11*t in the form n*t**2 + i + h*t and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -30. Let c(b) = -b**3 - 9*b**2 + 10. Does 10 divide c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 10*i**3 - 29*i**2 - 8*i + 48.\nAnswer: -(i - 1)*(i + 3)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -c77 (base 13) to base 3\nAnswer: -2220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 1367058*r + 1367057*r + 16.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 6. Let m(a) = -a + 2. Let n(v) = -3*j(v) + 8*m(v). Calculate the remainder when 19 is divided by n(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0644276261 to 3 decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 40*s**2 + s - 1. Let n = 0 + 1. Suppose -1283*a - 418 = -1302*a. Calculate the remainder when f(n) is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let u = -13 + 22. Suppose 87*p - 29 = 82*p + 3*l, -5*p - l + 17 = 0. Solve -p*g = -u - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 21. Let t(o) = 2*o**2 - 4*o - 11. Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1029)\/(-42))\/((-5124)\/1464).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8907.306 grams?\nAnswer: 8.907306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrkksrsr. Give prob of picking 1 k and 2 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*m + 4, -5*p + 10 = -0*p. Suppose -2*f + 7 = 3. Factor -4*t**2 - 2 - 2*t + 6 + f*t**m.\nAnswer: -2*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**2 - 17*u - 6. Let r(b) = -3*b**2 - 6*b - 2. Suppose 3*x = l - 5*l + 43, 5*x - 2*l = 89. Let t(h) = x*r(h) - 6*z(h). Differentiate t(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98.911 or -1\/36?\nAnswer: -98.911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618 = n - 5*o - 71, -3*n + 2107 = -5*o. Let q = n - 265. Suppose 0 = 5*t - q - 191. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457701 is divided by 327.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*12\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-242)*(-34 - (-2 - -1)) - -23.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 7*t + 2. Let w be h(-9). Let b = w - -27. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/29 (b) 0.7 (c) 4 (d) 118 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2\/2 - 12*z + 2. Let r be w(-11). Let f = 6942 + -6940. Put f, -4, r in descending order.\nAnswer: f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 + -116. Let q = s + -30. Calculate the remainder when 65 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2037 + -1969. Calculate the highest common divisor of 8500 and x.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -148679, -148681, -148683, -148685?\n\"Answer: -2*p - 148677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 793346 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e6e - 60c7?\nAnswer: -8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -36, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 - -456. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44974 to the nearest one hundred.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.044 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-1180)\/177).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1434*n + 178201. Determine m(-124).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*s = 121, -5*m + 68 = 4*s + 354. Let k = 85 + m. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -57, -143, -277, -465, -713, -1027, -1413?\n\"Answer: -s**3 - 15*s**2 + 8*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 30*b - 30*b + 3*t + 45 = 0, 0 = -3*b - b - 10*t + 90 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/10 + 131*p**4\/6 - 179*p**3 + 405*p**2 + 962*p. Solve t(n) = 0.\nAnswer: -135, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + w = 3*d + 19, -4*w = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -21*q + 23*q. Suppose -7*l - l = -q. Solve 3*b = -l*w + 9, -3*b + 3*w - 4 - 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169022328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q + 3. Let u(c) = 21*c - 7. Let l(w) = 7*k(w) + 3*u(w). What is the tens digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30753*f**5 + f**4 + 22*f**3 + 48*f**2 - 322248*f wrt f?\nAnswer: 1845180*f**2 + 24*f + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**2 - 160*z + 577. Determine y(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/8 + (4661\/316 - 53).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p - 134*p - 3*f = -11, 0 = -2*p - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 50*o**2 - 266*o - 46. What is x(-44)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + s + 2. Let z(g) = g - 1. Give -r(m) - 2*z(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101966977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 2*a + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-20)\/l)\/l**(6\/5))**18 assuming l is positive.\nAnswer: l**(-1998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21032 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Suppose 22 + 8 = g. Suppose g = -2*i + f*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0.4 (b) 93 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 + 0*b**3 + 2*b**3 + 14*b**2 - 22*b**2 + 11*b**2 + 23 to the form h + q*b**3 + g*b**2 + w*b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -5, 8, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2579 times 1023\nAnswer: 2638317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46812 or 47046?\nAnswer: 47046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 27. Let k(a) be the first derivative of 9*a**2\/2 - 18*a + 496. Calculate -5*h(w) + 7*k(w).\nAnswer: -2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 <= -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-8)*18\/378*-10?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 522028*q**3 - 13*q + 10903913?\nAnswer: 1566084*q**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1042, 3189, 5334, 7477?\n\"Answer: -z**2 + 2150*z - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 4. Suppose 0 = -4*g - 2*u - 36, 2*u + i*u = g + 18. What is the units digit of g\/(-8) - (-1)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 10457*m + 146012. Give d(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197568.659 - -0.45.\nAnswer: -197568.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13160 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 < 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 19*w - 5*v - 6, -5*w + 12 = -4*v. Let q(f) be the third derivative of 0 - 2*f**2 + 1\/270*f**5 - 1\/54*f**w + 0*f + 0*f**3. Factor q(d).\nAnswer: 2*d*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160797 and 73563?\nAnswer: 18170061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-5)*y*y*y\/y**(-7)*((y*y\/(y\/y**(-10))*y)\/y)\/y**(2\/5) assuming y is positive.\nAnswer: y**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 24. Let d(x) = x**2 + 3*x. Let r(u) = u**2 + 4*u. Let z(y) = 4*d(y) - 3*r(y). Give q(z(w)).\nAnswer: -2*w**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {m: 1, y: 2, c: 1, w: 4, g: 5, r: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/19 - 168*t**3\/19 + 522*t**2\/19 = 0. Calculate t.\nAnswer: -87, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 2, s: 2}. What is prob of picking 2 j and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:56 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 165 = -17*y. Solve -6*a + 35 - y = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 + 4. Let u = -2 - -10. Let a be 3*(u\/6 - 2). What is the second biggest value in j, a, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675935 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**3 + 10*w**3 + 4*w**3)*(w - 8*w + w)*(0 - 1 - 6).\nAnswer: 882*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*k - 33807 = -94*k + 162*k for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (2 + (13050\/(-6))\/5).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 + 1 = 0. Let p be 24*(-6)\/45 - w. Is p greater than or equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*s + 2*o, -2*s - 73 = -2*o - 195. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3563 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1004841194*u**3 - 188879077*u**2 - 2*u?\nAnswer: -6029047164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 25 = -5*t - 7*w, -4*w = -2*t + 4. Solve 0*p = t*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 303231 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 384837908*n**2 - 321808484*n?\nAnswer: 769675816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*z + 1154 + 319 = -494*z + 321. Suppose -4*g - 2961 - 679 = -5*q, 0 = g - 5. What is the highest common factor of q and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/25*4*10 and -55\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 2*j**4 + 2*j**4)*(-2*j - 3*j + 4*j) - 14*j**4 - 11*j**4 - j**5 + 29*j**4 + j**4 + j**5 - j**4.\nAnswer: -2*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (-1 - (5 - -2032)). Let t = -349 - i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229\/348 - -1\/116. Suppose -2*y + 3*u + 7 = -0*y, 0 = -y + u + 1. Let f = -0.1 - 4.9. What is the nearest to 1 in y, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3986?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1475, 5, 18, -5, 12 in descending order.\nAnswer: 1475, 18, 12, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 253*q**3 + q.\nAnswer: 253*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56446 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*m - 52 - 58 + 112)*(-404 - 118 - 127) to b*m + z and give b.\nAnswer: -6490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -12 - 0\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/155869 and 25\/213127.\nAnswer: 10443223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/440 and 13\/12430.\nAnswer: 49720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*c - 21 = 0, -3*u = -2*c + 3*c - 9. Find the third derivative of 53*v - 113*v - 35*v**4 + 60*v - 20*v**u wrt v.\nAnswer: -840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, 7, 77, 147, 217?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 40 = -2*p + 37, p - 4*o = -7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -6*4\/3. Let k(v) = 2*v**3 + v**2 - v + 1. Determine k(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3254786*h**5 - 930895*h**2 + 2 wrt h?\nAnswer: -195287160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 12635312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -17.6. Let v = 1.4 + u. What is the third smallest value in 0.1, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 0 + 5*r + 10 - 6 - r. Give a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047 + -334.\nAnswer: -334.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 5.\nAnswer: -15, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 10 + 3)*(p + 3*p - 2*p).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umbkzrr. Give prob of picking 2 r and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5206 is divided by 295.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 2)*(2*b + 2*b - 5*b + (0 - 3 + 1)*(-3 - b + 3) + 3*b - 2*b + b)*(3 + 0 - 6)*(-b - 5*b + 19*b).\nAnswer: 819*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**3 + t**2 - 15*t + 2. Let d(p) = -10*p**3 - 2*p**2 + 31*p - 4. Determine 2*d(w) + 5*m(w).\nAnswer: 5*w**3 + w**2 - 13*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -236*a*r + 264*a + r + 128141 wrt a.\nAnswer: -236*r + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(3 + 2 + sqrt(147) + 5) + (1 + sqrt(147)*1)**2 + sqrt(147) + (sqrt(147) + -1 - sqrt(147)) + sqrt(147) + 1 + -4.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -293696280 divided by 73424070?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1978 - -1940. Put 10, h, -5 in decreasing order.\nAnswer: 10, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -301.248414 to zero decimal places.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 + 11*g. Let p = -686 - -692. Let s(u) = -4*u**3 + 6*u. Determine p*d(a) - 11*s(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 21, 40, 63?\n\"Answer: 2*a**2 + 9*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 - 20*y - 14. Let x be w(6). Let m be (408\/(-1530))\/(-1 - (-6)\/x). What is the closest to -2 in 5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 a factor of 4291161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*t + 2*t - 25 = 0, -4*t = -5*q + 21. Let p be 2 + -1 + (-1 - q). Suppose -3 - 2 = -y - z, 4*y - 25 = -5*z. Which is bigger: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w + 3. Let f be x(1). Let u = f - -12. Solve h - u*h + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 4*l**2 + 26*l - 21*l)*(-2*l**2 + 4*l**3 + 2*l**2).\nAnswer: -16*l**5 - 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.99999927 + -49. Round c to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*b, 4*p - 3*b + 24 = -b. Let g(z) = -4*z**2 - 4*z + 2. Let m(v) = -5*v**2 - 4*v + 2. Let r(x) = 4*g(x) - 3*m(x). What is r(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238646*a**4 + 6*a**3 + 26*a**2 - 2*a + 96232369.\nAnswer: 2863752*a**2 + 36*a + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-13))\/(75\/15)*5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584724341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -11101?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15394 divided by 6?\nAnswer: -7697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-400)\/600 + (2\/(-4))\/(9\/6). Which is the third smallest value? (a) 0.4 (b) f (c) -0.3 (d) -2 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 3. Suppose -5*g - o = -2*g + 17, -3*o = 15. Calculate v(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*t + 4927 = 0, 11*d - 4913 = 8*d - 5*t. What are the prime factors of d?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - 71*g**2 + 47*g - 82. Determine w(11).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/210 + y**6\/120 + y**5\/12 + y**4\/8 - 6*y**2. Find z, given that o(z) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 - 5 = 2*x, 5*x + 8 = 4*a. Solve a*l - 8 = -18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.3 + 36. Which is the third smallest value? (a) 4\/7 (b) -2\/5 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1926567 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:33 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3508\/221239 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.697263 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31231.\nAnswer: 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p + 11 = c, 5*c = 3*p + 19. What is the least common multiple of 3 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.6 - 35.6. Let t = -24 + 37. Let z = t - 8. Sort -0.2, z, a, 3.\nAnswer: -0.2, a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5, t: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 14*z - 20. Let x(t) = -2*t**2 + 5*t + 7. Give -5*f(j) - 14*x(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 7*j**2 + 6*j + 1. Determine v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/(6\/8). Suppose y*v - 2*x = 38, -5*x - 74 = -3*v - v. Suppose -5*a = -v - 79. Solve a = z - 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 5. Suppose 3*f - 4*j = -5 - 16, -12 = -4*j. Let t(m) = 4 + 5 + m - 5 - 2. Give f*a(n) + 7*t(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslllllllls. What is prob of sequence slll?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 2. Let b(m) = -2*m**3 + 21*m**3 + 4 - 10*m**3. What is 6*b(v) + 13*f(v)?\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/312320 + (-9)\/(-288)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, g: 1, m: 2, d: 3, x: 1, h: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7435*c**2 - 3721*c**2 - c**3 + 59 - 3707*c**2 - 59.\nAnswer: -c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-202)\/404*(0 + 0). Solve -10 + m = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 0.5 (c) -0.1 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 115\/778853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960824 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -849 + 855. Solve -o + l = -2*v, 7*o + 27 = -3*v + 4*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - -64. List the prime factors of o.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1 - (51 - 56). Solve 0*c - c - 4*m = -15, -2*m = k*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3029011 and 4.3.\nAnswer: -1.30247473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 1487, 2498, 3647, 4904?\nAnswer: 6239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2360.5 + -3290. What is w rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Let c = 12 + -110\/9. Let p = -77.1 + 77. What is the second smallest value in u, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461250479 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129930950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 + 2*a. Let s(g) = -20*g**2 - 11*g. Let v(x) = -2*s(x) - 11*u(x). Let l(d) = 6*d. Calculate l(v(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Factor 4*i - 8*i**c - 6*i + i**4 - 9*i**4 - 2*i**5 - 12*i**3.\nAnswer: -2*i*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(637) + -1 + 2 + -4*(sqrt(637) + 4 + sqrt(637)*1)).\nAnswer: -294*sqrt(13) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -911512*11\nAnswer: -10026632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m - 224 = 79*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2*z*z)\/((z*z\/(z*z\/z**(1\/3)))\/z)*(z\/(z*z**2\/z))**38)\/((z*z*z*z**(-2\/5)*z*z**(-1))\/(z**(2\/13)*z**8\/z)) assuming z is positive.\nAnswer: z**(-5612\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26631892 is divided by 48072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)*-2 + 14. Let a(p) = p**3 + 6*p**2 + p - 12. Let j be a(-5). Solve -3*l + 5*n - 35 = -j*l, 4*n = -2*l + m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23088 (base 13) in base 15?\nAnswer: -13da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17179880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3307, 13270, 29875, 53122, 83011, 119542?\nAnswer: 162715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27 + 2)\/(7 + -3 - 5). Suppose 5*n = -k, 4*t = 9*t + 5*n + 5. Solve t = -3*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 20 + i**2 + 20 + 3*i**3.\nAnswer: 3*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osssoooooossoosooo. What is prob of picking 4 o?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 254295823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2 + 228*c - 6468 = 0.\nAnswer: -98, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 521359 by -5.\nAnswer: -521359\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + (30 - (-11 - -31)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:40 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*70*29\/(-435)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 11222?\nAnswer: 11222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 + 134*n - 174. Calculate g(-14).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2895\/4 - 723. Solve 1\/4*l + 3\/4*l**2 + 0 + 1\/4*l**4 + g*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 669\/(-24) + ((-11)\/8)\/11. Let w be (s\/21)\/(14\/3). Let p = 0 + 0. Which is the third biggest value? (a) p (b) w (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 4*y**2 + y + 1. Let a be j(2). Solve a*q = -5*n - 15, 2 + 3 = -n - q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c + 14*c**4 - 16*c**3 + 109*c**6 - 16*c**4 - 2 - 12065*c**2 + 0*c**3 + 12036*c**2 wrt c.\nAnswer: 13080*c**3 - 48*c - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96636 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + o)*(-348 + 1137 - 136).\nAnswer: -653*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 - 436. Solve -3*t - 6 = -w*t - 2*r, -5*r = t - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(2\/51) assuming c is positive.\nAnswer: c**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(6\/(-32)). Let z = 16 - p. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -17 + 0*y**2 - 1\/6*y**4 + 1\/9*y**3 + 1\/15*y**5 + 0*y. Find d, given that q(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 e when three letters picked without replacement from ffolleoofhfohhd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let a(o) = 41*o**2 - 205*o. Determine a(r) - 205*v(r).\nAnswer: 41*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85929, 687614, 2320761, 5501100, 10744361, 18566274?\nAnswer: 29482569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - -110100000010000110110?\nAnswer: 110100000010001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6181816908?\nAnswer: 2, 3, 67, 101, 269, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351 - -568. Let i = y + -87. What is the least common multiple of 78 and i?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2805*d**3*f*m**2 + 2*d**3*f*m - 149182*d**3*m + 2*d**3 + d**2*f*m**2 - 2988*m**2 + 79 wrt m.\nAnswer: -5610*d**3*f + 2*d**2*f - 5976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 - -208. Solve -u - 3*u - 12 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78922271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from tttxx.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 130, 128, 128, 130, 134, 140?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 12*z**2 - 29*z**2 + 10*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:21 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**2 + 5\/3*v**3 + 1\/12*v**4 + 0 + 33*v. Calculate d(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1810, 1878, 1946, 2014, 2082?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1\/(-1))\/(-1)*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -0.1. Let r = -25951\/41 - -633. Let n = 53\/246 - r. Is w greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5805 and 93955?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {x: 4, s: 8, z: 1, u: 1, d: 5, f: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2532)\/96 - (-208)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**3\/27 + 7*k**2\/3 + 76*k\/9 + 224. Factor h(i).\nAnswer: 2*(i + 2)*(i + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 24*n**2 + 15*n + 107. Does 18 divide o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 836, 3093, 7490, 14741?\nAnswer: 25560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2809870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130) + -2*sqrt(130)*-2)*-3)\/((sqrt(10) + sqrt(10) + sqrt(250))*-6 + 5*(sqrt(10) - sqrt(90))).\nAnswer: 45*sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 5*n + 0*n)*(-142*n**2 + 50*n**2 - 32*n**2) to u*n + f*n**3 + p*n**2 + k and give f.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a second in milliseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 5*v + 4. Let i be p(2). Which is the closest to i? (a) -0.1 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + (-170)\/8 + 20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*c - 14, 11*c + 9 + 3 = -4566*r + 4564*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 483*q - 16464.\nAnswer: -3*(q - 112)*(q - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 3*q**2 - q - 3. Let v be (12\/21)\/(2\/7). Suppose v*x = -3*x - 15. What is i(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -804.9 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084436 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 102850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 3332.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10949915*g**5 - 7*g**3 + 10*g**2 + 1998734*g wrt g.\nAnswer: 656994900*g**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(168)\/sqrt(6)*6)\/(sqrt(64)*-1 - sqrt(64)).\nAnswer: -3*sqrt(7)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*s = 129874 - 142972 for s.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131151, 262301, 393451, 524601?\nAnswer: 655751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let y(m) be the second derivative of m**4\/6 - 23*m**2 - 359*m. Give y(u(n)).\nAnswer: 8*n**4 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 25*r**3 - 3*r**2 + 9*r - 9. Let f(o) = 6*o**3 - o**2 + 2*o - 2. Calculate -9*f(s) + 2*y(s).\nAnswer: -4*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjjbjbbgjjggbjg. Give prob of picking 1 j and 1 g.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2223 - -4288798\nAnswer: 4286575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.86093 centuries?\nAnswer: 74233.116","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -7, 1, 4614 in ascending order.\nAnswer: -7, -2, 1, 5, 4614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 245 = 5. Suppose t = 6*q - 10*q. What are the prime factors of (-16)\/q*(20 + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37064123 rounded to 3 decimal places?\nAnswer: 0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844341 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -51*u**3 - 3*u**2 + 9*u + 8. Let o be v(-5). Suppose -121267 + o = 5*z + l, 0 = -3*z + 3*l - 68988. Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43037, -86056, -129049, -172016, -214957?\n\"Answer: 13*n**2 - 43058*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19\/(-2))\/(((-8)\/(-4))\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(3 - 2 - 7)*(-20*g + 7*g - 28*g).\nAnswer: 1230*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034164 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 9*o - 4*r = 60, -2*r = -o + 20. Let i be 69\/15 - (-1 + 12\/o). Solve -i = 5*f - 0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 155*p**2 + 14*p + 17. Let r be w(-4). Suppose 2*g - r = g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3, a: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.11 - 24. Let j = 0.098 + -0.008. Let f = k + j. Which is greater: f or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 + 0*m**3)*(2 - 2*m - 2) - 6767*m**4 - 2652*m**4 + 2970*m**4.\nAnswer: -6451*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 19*d - 66. Determine u(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-6 - (-2 + -2) - -5) + -8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 392\/9, -0.2, 4\/9, 0.3, -7.2.\nAnswer: -7.2, -0.2, 0.3, 4\/9, 392\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a = 27*a + 236 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.383 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9176 is divided by 106?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*k - 2, u = 2*k - 0*u + 7. Let d(c) = -c + 6. What is the units digit of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12*l**23 assuming l is positive.\nAnswer: l**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -36053*z + 1 + 0 - 1 + 12095*z as q*z + v and give q.\nAnswer: -23958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (30*(-2575)\/250)\/(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91842129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499687697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471685523.\nAnswer: 471685523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1236228?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6984705 by -1.\nAnswer: -6984705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 13 (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:40 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:38 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -12 + (-30 - -7 - 7)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.53 + -145.53. Let l = v + 142.06. Which is the second smallest value? (a) 3 (b) l (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -416*o - 23. What are the prime factors of r(-3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrfdaghgfgahddhff. Give prob of picking 1 f and 2 a.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4580983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(5\/(-2) - -4). Suppose -w*i = -4*i - 12. What is the first derivative of 7*n**i - 8 - 2 + 2 wrt n?\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2*b - 1 - 2*b)*(-28*b - 32*b + 53*b)*(-2 + 4 + 1) as m + l*b**2 + x*b and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let c(g) = 96216*g**2. Give c(w(s)).\nAnswer: 384864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1141847 + 13.2\nAnswer: -1141833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 - 1044*b**2 + 1047*b**2 - 116*b**3.\nAnswer: -164*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 v when three letters picked without replacement from xvoxvjy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3275 - 3274.999997297. Round b to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 8*o + 913 = 0, -3*o - 66 + 54 = 3*x + 201 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4664 and 406934.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, -401, 1, -5 in descending order.\nAnswer: 3, 1, -1, -2, -5, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g. Let m(w) be the third derivative of -w**5\/15 + 21*w**2. Give m(j(d)).\nAnswer: -5476*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3707 + 2238*a - 2238*a + 8*a**2 - 3707.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7162 is divided by 1389?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80812930.\nAnswer: 2, 5, 11, 734663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 5}. What is prob of sequence kkuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + (2 - (2 + 0)). Let k = p + -4. Suppose k*q - 8 = 3*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, s: 1, h: 1, p: 5}. Give prob of sequence hl.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -403512 divided by 408?\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -90647974 divided by -7486?\nAnswer: 12109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63195530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + (-3 - -10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3\/(-30))\/((-2)\/(-315885)))\/(3\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let q(r) = -r**3 - r**2 + r. Suppose 11 = -4*v + 3. Calculate v*q(z) - 3*n(z).\nAnswer: 2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -7*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -17*v - 2 + 1\/70*v**5 + 1\/14*v**4 - 3\/7*v**2 - 1\/21*v**3. Factor p(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110111000100010 (base 2) in base 3?\nAnswer: -201202010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v**2 - 3*v + 23. Let z(m) = -4*m**2 - m + 12. What is 2*w(x) - 5*z(x)?\nAnswer: 2*x**2 - x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 339\/9 - (-1)\/3. Suppose -2*b = 2*i + b - h, -4*i - 5*b + 74 = 0. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*48\/198)\/(7\/(-3))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:06 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 28 = -4*s, 4*g = s - 2*s + 70. Is 20 a factor of g\/(0 - 1)*(-112)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 129. Solve -p - j*u = -6, -2*p = -3*u - u + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 1775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12 or 140\/23?\nAnswer: 140\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -160\/273?\nAnswer: -160\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-9 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -26*f**5 + 148*f + 114. Differentiate z(p) wrt p.\nAnswer: -520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -164?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 + -5 + 10)\/(-1))\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304974 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -318.1 - -318. What is the closest to -3 in -0.2, 0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 4. Let d(z) = 2*z**2 + 2*z - 2. What is the smallest common multiple of a(3) and d(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/40 - 3*x**3\/2 - 15*x**2. Let o(b) be the first derivative of c(b). Let j = 4 + -5. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 6. Solve 0*p + l*p - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.056, -0.5, -0.2, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*j - 2. Suppose -o + 2*w - 245 = -j*o, -174 = -2*o + 4*w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.808769ml?\nAnswer: 0.004808769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 6}. Give prob of sequence kiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -23397 != -23393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 254. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46805274.1 - 49179502. Let b = r + 2374231.89999975. Let v = b + -4. Round v to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4))\/(y*y**(-2\/5))*y\/(y*(y*y**(-6))\/y)*(y\/(y**3*y))\/y*y*y\/y**1*y**(-1)*(y*y**6*y)\/(y\/(y*(y*(y**(2\/11)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -59, 4 in decreasing order.\nAnswer: 5, 4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = -0*s. Suppose s = -32*v + 26*v + 1572. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.51156728 times 0.1\nAnswer: -2.351156728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 + 2 = 0. Let t be 2*(-3 + 2)*h. Let p be 54\/336 + t\/(-7). Sort p, -1, 4.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47250 or -2315274\/49?\nAnswer: -2315274\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -765 + 800. Let q be (-5)\/(-4)*((-77)\/(-11))\/u. Which is the third biggest value? (a) q (b) -1\/5 (c) -1\/2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*f + 2*d**4 + d**3*f + 49781*d**3 + 34010619*d**2*f + d wrt d.\nAnswer: 48*d*f + 48*d + 6*f + 298686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-6)\/(-4518)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10703, 21410, 32119, 42830, 53543, 64258, 74975?\n\"Answer: n**2 + 10704*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -76. Suppose -11 = -3*o + r. Calculate the smallest common multiple of o and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 29\/324848 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {g: 2, h: 12, n: 4, z: 1}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 43*l + 5*l**2 + 46*l - 8 + (-4*l**2 - 3*l + 3*l)*(-2 + 5 - 2).\nAnswer: l**2 + 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -46073095 rounded to the nearest 10000?\nAnswer: -46070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8112, 8123, 8146, 8181, 8228?\nAnswer: 8287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -0.0527\nAnswer: -0.04216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1.5, 4, -683.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1127 - -13?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b**3 - 48*b**3 + 16*b**3)*(3 - 7 + 2) + 761 - 2*b**3 - 761 + b**2 - 2*b to u + g*b**2 + d*b + o*b**3 and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/9)\/l*l)**(8\/5) assuming l is positive.\nAnswer: l**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 bigger than 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2. Calculate the least common multiple of 14 and j(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2cd9b (base 14) to base 5\nAnswer: 12044240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/6 (b) -0.1 (c) 0 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 48\/7*r + 0 - 9\/7*r**3 + 66\/7*r**2 - 24\/7*r**4 + 3\/7*r**5 = 0. What is r?\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 15, 1, -2 in descending order.\nAnswer: 15, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279.06 - -282. Let l = -0.06 - g. Which is the second biggest value? (a) 1 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -d9b?\nAnswer: d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -68, -2, 59, 23, 2 in descending order.\nAnswer: 59, 23, 4, 2, -2, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-2)))))*1 + sqrt(77))\/(sqrt(1331)*-1).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 482, 1084, 1926?\n\"Answer: 120*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(8 - (10 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 4, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 21 = 5*j, 24*j - 5*o + 45 = 19*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 17, -165, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 108*s + 139. Is h(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16*i = -17*i - 40, 0 = -3*i + 6. Let v be ((-11)\/g + 42\/(-441))*-1. Sort v, -0.04, 0.5 in decreasing order.\nAnswer: 0.5, -0.04, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000000001010 (base 2) in base 13?\nAnswer: 396c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 3011 - 3011 + 3*n**2 - n**4 + 4*n as b + q*n**3 + d*n**2 + p*n**4 + v*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/56 and -107\/60?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3677*c + 3632*c = -57285. Calculate the remainder when c is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0. Which is the third biggest value? (a) d (b) 1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 568*o**3 + 107*o + 23*o + 24*o wrt o?\nAnswer: 3408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 23210848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 - 5 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -136. Suppose -2*k + 43 = -p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 - 382*z**3 + 67594*z**2 + 3993990*z = 0.\nAnswer: -285, -49, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Let k(y) = 5 + 20*y**2 - 8*y**2 - 1 - 1 - 3*y. Let q(c) = -23*c**2 + 5*c - 5. Let b(d) = -5*k(d) - 3*q(d). What is b(a(t))?\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**3 + 55 + 81 - 138.\nAnswer: -20*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.1 - -27.9. Let j = -9.7 + f. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 236*d**2 - 10857*d - 303. Determine r(46).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjpsjjsngngp. What is prob of sequence nrs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:25 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -58918, 25 in decreasing order.\nAnswer: 25, -2\/11, -58918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*g - 12, 193*t = 191*t + 4*g - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14892 + -31541171\/2118. Find the common denominator of -107\/10 and l.\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42913, 12, 0.3, 2?\nAnswer: 42913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*y + 360 = 0, -5*y + 4*y - 308 = 4*u. Is 0 - 31095\/(-12) - (-19)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177216.\nAnswer: 2, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 365. Suppose 8555 - 1435 = 89*y. What is the greatest common factor of y and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.32288537 rounded to 2 decimal places?\nAnswer: 23.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**27*(l\/(l*l**1*l*l))\/(l**3*l))\/((l**(-1\/4)*l**(2\/7))\/(l**0*l**(-2\/5))) assuming l is positive.\nAnswer: l**(-2301\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**3 + 13\/120*c**6 + 0*c**4 + 16*c**2 - 1\/20*c**5 + 0*c + 0. What is the third derivative of m(f) wrt f?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -36*c**3 + 4*c**2 + 10. Let f(t) = 71*t**3 - 7*t**2 - 18. Give -7*b(l) - 4*f(l).\nAnswer: -32*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/24, -0.016.\nAnswer: -4, -5\/24, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 0 - (-3 - -5) - (-62 + 1).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243283 is divided by 627.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30)\/(42*1\/30)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1242?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -5. Let b = 1028 + -1018. Is n >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**2 + 0 + 1\/3*w**7 - 13*w + 0*w**3 + w**4 + 0*w**6 + 0*w**5. Find the third derivative of t(h) wrt h.\nAnswer: 840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*(-8)\/(-6). Suppose 0*t = f*t - 52. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 15 = 13*v. What is the smallest common multiple of 6 and (1 - v\/5)*10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -432020 (base 5) in base 14?\nAnswer: -5495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-2 - 0) + (15 - 15) + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f - 22*f**2 - 17*f + (-3*f**2 + 2*f**2 + 0*f**2)*(-2 - 1 - 1).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/51349 at most as big as 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 10*s - 18. Let p be r(7). Suppose -p*x + 0*x = -87. What is the second derivative of -4*f**4 + 39*f - 67*f - 12*f**4 + x*f wrt f?\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53690 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u - 2. Let d be q(2). Find the second derivative of -10*o**4 + o + 13*o**4 - 10*o**d wrt o.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286 + 51*x - 151*x + 80*x + 17*x.\nAnswer: -3*x - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 55. Let c = 13.94 + 0.06. Let i = 14 - c. Sort s, 2\/15, i.\nAnswer: i, 2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737.13028 - 570.1323. Let s = a - 167. Round s to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54202818 and 52665.\nAnswer: 271014090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*-3*-2 + sqrt(95))*1)\/(sqrt(30)\/(sqrt(216)*-6 + sqrt(216) - sqrt(216) - sqrt(216))).\nAnswer: -294*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.97 - 23.53. Round n to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.372127041 to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 1775?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 2*n**2 - 5*n - 9. Let i(g) = g - 12. Let f be i(16). Let a be h(f). Solve 0 = -a*o + 3*j - 15, 0 = -4*o - o - 3*j - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (905805*l**2 - 860*l**3 - 905805*l**2 + 2)*((-2 - 2 + 2)*(-3 + 2 - 1) + 2 - 5 + 5).\nAnswer: -5160*l**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*r = 3 - 0, 0 = -2*x + 3*r + 3. Solve -3*c - 21 = -5*q - 7*c, -2*q + 2*c + 12 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.879 + 0.879. What is the closest to 7\/2 in p, -2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177779.\nAnswer: 7, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 3*i**3)*(-1 + 5 - 2) - 5 - 184*i**3 - 182*i**3 + 358*i**3 - 2*i**2 + 0*i**3 + 3*i**2 + 2*i**3.\nAnswer: -12*i**3 + i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 6 = 0. Suppose 1509 = z*d + d. List the prime factors of d.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -30. Solve 0 = -j - p, -4*x - 10 = -4*j - 30 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 12 + 100*f**2 + 28 - 53 + 2125*f**2.\nAnswer: 2225*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 minus 7?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/8 and 1\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = 3*z. Let v(s) = s**z - s - 34 + 19 + 16. Let d(w) = 4*w + 5 + 7*w + 8*w - 16*w - 8. Determine -d(m) - 3*v(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -81, 219, 3, -410, 1 in decreasing order.\nAnswer: 219, 3, 1, -2, -81, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 562*s**2\/9 + 188*s\/9.\nAnswer: -2*s*(s + 94)*(3*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18240 - 18296 = 3*y + 2*n, y - n = 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39299917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 - 6*b + 3*b**2 + 4*b + b**3 - b**3 + 6*b**3 as h*b**2 + n + m*b**3 + f*b + y*b**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let l(w) be the third derivative of w**4\/8 + w**3\/3 - 27*w**2 - w. Determine l(p) + 4*m(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(63\/(-108) + (-2)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*y - 21767 = -183*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39274.18 litres to millilitres.\nAnswer: 39274180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 258545 - 1?\nAnswer: 258544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -40*y - 2. Let c be (88\/20 + -4)*-5. Let k be a(c). Suppose -140 = -3*h + 4*n, h - n + 4*n - 64 = 0. Calculate the highest common factor of k and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17377117 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 2.7995?\nAnswer: -3.0995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**2\/2 + 117*p + 4. Let i(m) = -2*m - 3. Give -2*i(v) + 6*r(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13538280 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 28 + 24)*(-3*o + 6*o + 0*o).\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076 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: Calculate the common denominator of 35\/6919 and 49\/6919.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from btlbb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 10) to base 8\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 35, 40, 45, 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 - 7*s. Let x be v(6). Let l = 503 - x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:37 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 12 + 42. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2. Suppose 0 = -n*w + 3*d + 147, d + 110 = 2*w + 17. Let h(p) = 3*p**2 - 4. Calculate the remainder when w is divided by h(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:42 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 4, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45674 is divided by 233.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 17, 5, -13, -37?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 328542, 657673, 986804, 1315935, 1645066?\n\"Answer: 329131*s - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 + 8*l + 3. Let z be a(8). Solve 5*b + 4 + 16 = 0, 11 = f - z*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72345587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:47 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 16*l**2 + l - 13. Let w = 16 - 0. Let c be k(w). Let h be (-6)\/(-4)*((-15220)\/c)\/(-10). Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i + 4. Let x be c(3). Calculate the remainder when 54 is divided by (x\/4)\/(2\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1230, -1271, -1320, -1377, -1442, -1515, -1596?\n\"Answer: -4*z**2 - 29*z - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 288545350617.22.\nAnswer: 288545350616.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/((-4736)\/48))\/((-5)\/((-5)\/2)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11396 and 1003310?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 66?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0763724253 rounded to four dps?\nAnswer: 0.0764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4907, -5534, -6161, -6788, -7415, -8042?\nAnswer: -8669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.46, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 + 2*b + 2 in the form d + f*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84\/21*14\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + 1)*((-1750)\/(-126) - 14))\/((-14)\/(-3696))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 + 0.62. Let i be (-90)\/225*10\/(-12). What is the smallest value in o, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjffnnfnfnfn. What is prob of sequence nf?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 3*j**2 + 3*j - 2. Let w be t(-3). Let c = -749 - -715. Let x = w + c. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 17. Let i = n + 8.02. Round i to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/3, 0.4 in increasing order.\nAnswer: -2\/3, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.81045 and 0.09.\nAnswer: 0.1629405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34815546 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15381?\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - 5*o - o)*((-2*o - 2*o + 6*o)*(-2*o - o + 4*o)*(-2 + 2 - 1) + (3 - 3 - 6*o**2)*(2 + 3 - 3)) in the form i*o + s*o**2 + n + w*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.7687 grams in nanograms?\nAnswer: 754768700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 996 - 978. What is the highest common divisor of h and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 73. What is y(47)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iiriigrg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10797*k - 118739. Let n be z(11). Let j = 148 - -258. Calculate the highest common divisor of j and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4942 + 83751.\nAnswer: 88693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 387 = 141. Suppose 5*l = 2*l - s. Let u be ((-12)\/8)\/(6\/l). Solve 5*o = 3 + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2639318, 2639890, 2640462, 2641034, 2641606?\n\"Answer: 572*u + 2638746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10252 + 59058. What is f rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 3 - 3)*(10 - 5 - 3) - 3*b + 0*b + 0*b)*(2 + 1 - 2).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39\/188 - -2\/47. Let s(k) be the first derivative of 2*k**2 - 2 + k - q*k**4 - 1\/3*k**3. Calculate s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -789, -3230, -7299, -13002, -20345, -29334, -39975?\n\"Answer: -n**3 - 808*n**2 - 10*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 97. Suppose 2*k = -4*v + 106, -4*v = k - 5*k - r. Find the second derivative of -v*h**3 - 2*h + 20*h**2 - 20*h**2 wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/3 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*l + 1151 = -8233 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 + (-95 - (-67 + 43))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 33*b**2 + 33*b + 54. Calculate the remainder when 152 is divided by v(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -1\/72835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4174*d**2 + 6495*d**2 + 2303*d**2 to k*d + t + b*d**2 and give b.\nAnswer: 12972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*z - 2*l, -2*z - 4*l - 3 = 9. Suppose -u - 469455 = -z*u. Let g = 106185 - u. What is g rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((12\/18)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + 6 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by -43?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/143 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 244 - 220. Calculate the least common multiple of 1 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280567 equal to 107014146\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by -113215?\nAnswer: -87\/22643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.123 rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/12 - 11*a**3\/6 - a**2 - 3. Let d(s) be the second derivative of i(s). What is the units digit of d(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8398045l?\nAnswer: 839.8045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5310 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3 + x + 33*x**2 - 112*x**2 + 37*x**2 + 41*x**2. Let z be 60\/(-21) - (-4)\/(-28). What is n(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(8\/(-18)). Let c = 4 + j. Is (-298)\/(-1)*c\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h*h*h**(7\/6))\/(h**(1\/2))**(2\/13) assuming h is positive.\nAnswer: h**(-929\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 297276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19702519.\nAnswer: 59, 333941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-2))\/((-2)\/(-60)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91989 by -5.\nAnswer: -91989\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4392d (base 16) to base 9.\nAnswer: 461604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/36 and -17\/242550?\nAnswer: 485100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 - -491. Suppose 5*h + 19 - l = 0. Solve -h*q = -5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17372*g**4 - 16280 wrt g.\nAnswer: 69488*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2*o - 3*o + 0*o) - 57 + 111 - 66 + 3*o.\nAnswer: 4*o - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7821.8 + -14140. Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731.297 micrograms in nanograms?\nAnswer: 5731297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39 - -12)\/(3\/(-35)). Let a = 318 - r. Solve -l = -5*o - 22, -4*o - a*l - 13 = 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**3 + o**3 + 2*o**3)*(o - o + 6*o)*(-7 + 26 + 1)*(4 - 3 + 0) as r*o**3 + x*o**2 + g + t*o**4 + m*o and give t.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 26*v - 98. Calculate n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v + 42532 = -849*v for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 6. Let u = -32.2 + w. Which is the nearest to 0? (a) u (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21759 + 21770. Solve -x = -11*o + 44 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*o - 3)*(-o**3 - 3*o**3 + 5*o**3) + 2*o**4 - o**4 - 3*o**4 + (o + o**3 - o)*(-5*o + 3*o + 6*o) to z*o**4 + g + l*o**2 + k*o + s*o**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzmzmzzzmm?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5613 - -0.0621470274?\nAnswer: -0.4991529726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-218 + 28 - 2*u**2 + 3*u**2)*(1 - 1 + 1) to z*u**2 + f*u + k and give k.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754417920.\nAnswer: 2, 3, 5, 223, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/140, -1\/2, -3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 977010 and 1597755.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 7*a - 4*a + 2*a + a + 12 + 3*a**2. Does 10 divide t(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823820 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 75. Let h = m - -3. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 7*l - 95. Let q be g(14). Solve 4*z = q*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-65)\/4 + 1\/4. Let s = 254 + a. List the prime factors of s.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16384662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2526*h + 30*h**2 + 2526*h + 2*h**2 + 0*h**2 - h**2 + 2*h**2 + 0 + 0 + (2*h - 3*h + 0*h)*(-3*h + 1 - 1).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-717 - 701 + 372 - 123)*(-2*y + 3*y + 7*y) to the form u*y + i and give u.\nAnswer: -9352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.85 + -0.05. Let o = q - 1. What is the third smallest value in -1, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:45 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110, 218, 326, 434, 542, 650?\n\"Answer: 108*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m - 915. Let a = 229 - 231. What is the units digit of a\/(-5) + m\/(-15)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.0393 centimeters in meters?\nAnswer: 5.330393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7911171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 41*m**2 + 34*m + 426. Calculate u(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 12. Suppose -3*y + 0*y + 5*a = 8, 5*y + 30 = 5*a. Calculate m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/126*3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:39 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322.402 plus -0.065?\nAnswer: 1322.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 126520, 126522, 126526, 126532?\n\"Answer: x**2 - x + 126520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 54 = 5*k. Let c = k - -11. Sort c, -1, 0 in descending order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10239284.\nAnswer: 2, 11, 232711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3\/4 (b) -3679 (c) 2 (d) -1\/993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, r: 2, h: 1}. What is prob of sequence mrr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4*b**2 - 2*b**2)*(3*b**2 + 0*b**2 - 2*b**2) + (0 + 0 - 1)*(-b + b + b**4).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = 247*g + 50*g - 4607. Let r(m) = 7*m + 1. Calculate the remainder when r(4) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6) + (-16)\/(-6). Suppose -2*k = y - 8, 3*k + z*y - 10 = 2. Solve d - 9 = -k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1355 - 1313. What is the least common multiple of u and 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10161 + 10163. Suppose 6 = 3*o + 3. Which is the nearest to o? (a) -21 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:30 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-3)\/6 - 0). Put 3, -2, d in decreasing order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25139 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7424 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 94*h - 11. Let i be d(-32). Suppose -i + 1077 - g**5 + 32*g**3 - 3*g**5 - 28*g**4 = 0. Calculate g.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 + 266*n**3 - 140*n - 258*n**2 + 70*n**2 - 3*n**4 - 318*n**3 = 0. Calculate n.\nAnswer: -7, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/3*-2*-5 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193382\/24 - (-46)\/552 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 2 + 1 + (-1 - -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 4*u. What is m(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(240\/50))\/1*-3*1037\/(-85)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, k: 6, r: 3, g: 2}. Give prob of picking 1 k and 1 g.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-82)\/22)\/(2 - 1) and (84\/28)\/(9\/(-84))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - -0.08. Suppose 5*d + 4 = 3*u, -u - 8 = 4*d - 5*u. Let x be (d + 1)\/(5 + 1). What is the nearest to -0.1 in x, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y*y)\/y*y**(-4))\/(y**7\/(y\/(y**(-5)\/y)))*(y**(-2)\/(y*y\/y**2*y))\/(y**3*y*y**(-6)) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**5 - 186*u**4 + 2007*u**3 - 4476*u**2 - 11460*u + 14112 = 0.\nAnswer: -2, 1, 6, 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2252 and 45\/149758.\nAnswer: 299516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 - 18*n**3\/5 + 68*n**2\/5 - 6*n - 117\/5.\nAnswer: (n - 13)*(n - 3)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/7)\/(t\/(t*t**(-4\/9)*t))*(t**0)**(2\/37) assuming t is positive.\nAnswer: t**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/6 + 480*u. Let d(w) = 2*w - 5. Let l be d(6). Let h(x) = l - 7 + 2*x. Give b(h(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1768*a + 880*a + 888*a + 14*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x + 1. Let z be u(-6). Let h = z - -62. Suppose p = -4*r + h, 4*r - 2*r + 2*p = 12. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {j: 2, m: 1, u: 2, v: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1.695128?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 13. Let n(o) = 12*o**3 + o**2 - 2*o + 1. Let x be n(1). What is the units digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 9. Let a(m) = 2. Let k(v) = 26*a(v) - 6*i(v). Let y(w) = w**2 + 2*w**2 - 2*w**2. Give y(k(d)).\nAnswer: 36*d**2 - 24*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -2*j. Let g(y) = 1 - 2 + y**2 - j*y**2. Let r(s) = s - 3. Let u be r(5). Let m(w) = -2*w**2 - w - 2. Calculate u*m(a) - 5*g(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6237 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -212, -0.1?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 1.9. Let z = f - -2.054. Let w = z - 0.05484. Round w to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiilaluixluqliqaqiq. What is prob of picking 2 u and 2 a?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -q - q. Suppose a + 0*a = -5*i + 16, -2*i - q*a = 12. Suppose 0 = -4*l + 1 + 3. Solve 2*b + 2 = 4*h, 5*h + 1 = i*b - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-10.4294251\nAnswer: -11.4294251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**2 + 8*i**2 - 484*i + 463*i in the form f*i + t*i**2 + v and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 252\/(99985\/50000 + -2)*-16. What is s rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*r + 0*r - 8*r)*(0 + 3 - 1)*(9 - 179 - 30 - 6) to the form u*r + j and give u.\nAnswer: 6592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 2*m + 510. Is y(0) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 92407909*q\/2 + 8539221645752281\/4.\nAnswer: (q - 92407909)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 0*w**4 - 4*w**4 + (2*w**2 - 2*w**2 - 2*w**3)*(-5*w - 2*w - w).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (6 + 0)\/2. Let c = -1 + -3. Let d be (1 - o - c) + 1. Solve 1 = -5*k - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 988 and 78033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2190 = 4*k - 9*k. Let u be ((-2)\/(-3))\/(4\/k). Is u\/1 - (3 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 42 = 3*c, -3*r - 4948*c = -4946*c + 28 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) -27\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -3*a - 231 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 597, -0.16, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 + 0)*(-o - 5*o + 2*o) + (-4 + 2 + 1)*(-191*o + 93*o - 75*o))*(4*o**4 - 4*o**4 + 2*o**4).\nAnswer: 306*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88.8 + 88.5. Let l = 0.06 + -0.46. What is the fourth smallest value in c, 0, l, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10975 divided by 2195.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 27, 59, 115, 201, 323?\n\"Answer: h**3 + 3*h**2 - 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(108))*4)**2*5.\nAnswer: 3840*sqrt(3) + 9920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.987588948 rounded to five dps?\nAnswer: 0.98759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 449076 + -449071. Let b(p) be the first derivative of p**3\/3 - p**2\/2 + 5*p + 1. What is b(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 1. Let b be p(-5). Sort 4, b, 0, 2 in descending order.\nAnswer: 4, 2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -4. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23227788 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-384)\/(-15))\/(3\/45*3). Find the third derivative of -z*r**2 - 2*r**4 - 3*r**4 - 31*r**4 + 29*r**2 wrt r.\nAnswer: -864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let t be 1\/(1 + 0\/(-8 + 4)). Suppose -38 = 12*f + 2*s, 28*s - 12 = -f + 30*s. Put f, t, w in increasing order.\nAnswer: w, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 64*j - 24*j - 16*j - 22*j in the form p + w*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + 507615?\nAnswer: 507720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*x - 9. Suppose -4*h - 137 = -5*m, -5*h + 124 = x*m - h. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 10 = -5*c, -7*c + v - 9 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:06 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 - 83 = 7*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from gbnewel.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 - 12 = 0. Let u(p) = p**3 + 4*p**2 + 4*p + 3. Let q be u(n). List the prime factors of 40 + -1 + (q - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-4) - (6 - 1). Let k = -0.795 - 80.005. Let p = k - -81. What is the smallest value in -0.1, p, u, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 3 + sqrt(605) + (sqrt(605) + 1)**2 + 5 - -6*4*(-1 + sqrt(605)).\nAnswer: 590 + 308*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3 + 22587*u**2 + 12*u - 90348 = 0. What is u?\nAnswer: -2, 2, 7529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 1*sqrt(1216) + 5)**2.\nAnswer: 160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let q(p) = -11*p + 2*p - 3 - 3*p. Determine y(q(g)).\nAnswer: 12*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 13 = -4*r, 2241*v - 5*r = 2242*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**28)\/(y**(-22)\/y))**35 assuming y is positive.\nAnswer: y**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from iibimmi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79885, 159218, 238551, 317884, 397217, 476550?\n\"Answer: 79333*a + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*9\/((-99)\/110)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 15 = 5*u - 7, -5*u = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19512 - 19793 - o**3 - o**3 + (-2*o + 1 - 1)*(0*o**2 - 4*o**2 - 7*o**2).\nAnswer: 20*o**3 - 281","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -13, -5, 3?\n\"Answer: 8*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8 = i + 7, -5*x + 4*i - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902547?\nAnswer: 3, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.125 (b) -8 (c) 1\/8 (d) -205 (e) -1 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/9*(-9)\/4. Let k be 2\/(1\/(3\/h)). Is 0 + 1*(k + 128) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65\/2*h + 170 - 5\/2*h**2.\nAnswer: -5*(h - 17)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 28?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:17 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*a + 2, 0*s + s - 26 = 5*a. Let c be 5\/(-1) + 3\/3. Calculate the smallest common multiple of s and (8 + c - 3) + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-23)\/(-5) - -1. Let s = -106\/35 - z. Let r = -73.15 + 77.15. What is the second smallest value in 0.1, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/5)\/((-3)\/(-705)). Suppose -5*s = -m - 67. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 85.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.9256l to millilitres.\nAnswer: 940925.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110303100 + 2?\nAnswer: -1110303032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:51 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 4, l: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2209 - -4099. Suppose -10*v + d = 11*v. What is the lowest common multiple of v and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Suppose 462 = 3*x - 42. Let f(q) = x*q - 58*q - 63*q - 68*q. Calculate u(f(y)).\nAnswer: -882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) + sqrt(300) + -2*sqrt(300)))))\/sqrt(5))\/(-6*sqrt(36)\/sqrt(3)))**2 + -2)*-1 + 1.\nAnswer: 85\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2\/10 + 2247\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 16*p**2 - 18*p - 2. Suppose -n + 17 = -2*n. Let o be i(n). Let c be (-4)\/(-6) + (-5)\/o. What is the nearest to 0 in 1\/5, c, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(12)\/sqrt(4) + sqrt(3))**2 + 2 + ((sqrt(252)\/sqrt(4))\/sqrt(7))\/sqrt(3).\nAnswer: sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2995, 1, 3.\nAnswer: 1, 3, 2995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*q + 4015 - 4820 - 3690 = 6950 for q.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 2\/467, 5, -72?\nAnswer: 2\/467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 255*s + 114. Does 18 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 11 = 8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(4455)*6)\/(((sqrt(77) + (sqrt(77) - (sqrt(77) - sqrt(77)*2))*1 - sqrt(77)) + sqrt(77) - sqrt(77))\/(-6*(sqrt(7) - sqrt(7)*-2))).\nAnswer: -5832*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 642565 + 642565.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1525.677 decades?\nAnswer: 15.25677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 11*v**2 + 11*v - 35. Calculate j(-10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28201, 28190, 28163, 28114, 28037, 27926, 27775?\nAnswer: 27578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/15)\/((-5)\/15). Let b = 0.2 + -0.2. Let r = b + -1. What is the closest to m in 2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + v - v + (5*v + 2*v - 5*v)*(-1 - 2 + 1) + (2 - 5 + 4)*(63 - 63 + 26*v) in the form d + p*v and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, y: 3}. Give prob of sequence ycyy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/9)*l*l)\/l)**48\/(l**(5\/14)*((((l\/((l*l\/(l\/(l*l**13\/l*l)))\/l))\/l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(6299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/210 - 58*b**4\/21 - 11*b**3 - 21*b**2 - 17*b. Find j, given that l(j) = 0.\nAnswer: -231, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5336 - 397*m - 5336.\nAnswer: -397*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69876994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5 + 43. Let n = o - 13. Suppose 4*h - n*b + 3*b - 92 = 0, 10 = h - 4*b. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (14 - 14) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w + 118 - 198 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18814619.\nAnswer: 18814619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 21131223223?\nAnswer: 21131223322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 + 18 - -30) + (-7 - -16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 + 2. Let s(d) = 2*d - 7. Let l be s(6). Suppose 5*c = -2*j + 25 + 8, -l*j = -5*c - 30. Let f be t(j). Solve -f*h = -0*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335779 to the power of 1\/2, to the nearest integer?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 34092\nAnswer: -102276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 3*k**3 - 11*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/20 + 23*a**4\/24 - 238*a**3\/3 - 2*a**2 - 51*a. Differentiate c(b) with respect to b.\nAnswer: 6*b + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25165910 divided by 2842?\nAnswer: -8855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 8*q + 4476 = 31*q. Solve -q = -5*n - 358 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -4.3. Let p = 78 + -99. Let z = p - -23. Is z at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.89782 rounded to two dps?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - n - 12*n - 3*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + 120*y - 12. Let j be c(20). Is 5 - (2\/(j\/(-18)) - 2159) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 51*w**3 - 3*w - 6*w**4 - 50*w**3 + 2*w - w**4 in the form o + p*w**2 + n*w**3 + z*w**4 + y*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.832 - 174.\nAnswer: -180.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 20 = y, -28*w - 263 = -4*y - 463 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/2 + 320520*m**3 - 12821889*m**2\/2 + 11860323*m - 5769900 = 0. Calculate m.\nAnswer: -213700, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 + t**5\/6 + 13*t**4\/24 - 13*t**3\/6 + 37*t**2 - t. Calculate g(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {u: 7, k: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51833 - -51835. Let w(s) be the third derivative of -11*s**5\/60 - s**2. What is w(l)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344a93 (base 12) in base 9?\nAnswer: -1516343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -631*d + 635 - 9469 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33216 is divided by 16320?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/24 - 13*f**2. Let s(i) = -26*i + 6. Let m(a) = a - 1. Let n(r) = 6*m(r) + s(r). Give n(h(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 360, -7, 5?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 64.36841 grams?\nAnswer: 64368.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 3 (c) 1.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117)*-4*4*-1 + (sqrt(832) + 1 + 0 + sqrt(832) - sqrt(832))*-5))**2.\nAnswer: -2880*sqrt(13) + 30852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 12*i - 9. Let r(l) = 3*l**2 - 2*l + 3. Let z be r(2). Let h be s(z). Suppose -v + 5*g = 4*v - 10, h*g - 14 = -4*v. Is v equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 3*k - 3. Let w(z) = z**2 - z - 1. Let y be w(1). Let c be 23\/(-4) - y\/(-4). List the prime factors of r(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 5. Let x be p(-4). Suppose -2*r - 4*f = -4, -x*r = 5*f - 2 - 9. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2222\nAnswer: -2\/1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915872667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7027\/5, -0.2, 4\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19*j + 24*j = 1318, -5*a + 3310 = 5*j. What is the remainder when 2656 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:43 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-11 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:50 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flbb when four letters picked without replacement from vhvhhfbvlvfbhhvvf?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53532 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 247*i + 12 - 253*i - 1. What is n(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 15*w + 17. Determine u(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.388062m in micrometers?\nAnswer: 1388062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - c + 140 = 0. Is ((-701)\/2)\/(c\/(-40)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m - 2. Let y be n(-2). Let a = -9 + 63. Calculate the greatest common factor of y and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 9.53, -3637, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 10 + (10 - 12). What are the prime factors of (-2 - -2) + (89 - d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*b = -12, -4*u + 49 = 3*b + 63 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-240)\/(50\/(-10) - (-7 - -1)). What are the prime factors of (4 + (2 - 10))*s\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 21. Suppose 13*h - 11*h - 762 = m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*(c*c\/(c*c**2))\/c)\/c))\/((c**7\/c)\/c))**(-19\/2))**(25\/6) assuming c is positive.\nAnswer: c**(475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 14*j - 4. Let d be f(3). Solve -r + 5 = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4*d - 5*d)*(-d - 3*d + 0*d) + 3*d**2 - 3*d**2 - 2*d**2 + 0*d**2 + d**2 - 2*d**2 + (5*d - 3*d - 3*d)*(-4 + 2*d + 4) - 29*d**2 - 29*d**2 + 55*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2920*n + 1366*n - 4285*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -46, -120, -242, -424, -678?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218456?\nAnswer: 2, 7, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22257*a**3*o**3 - 1971*a**2*o**3 - 2*a**2 + 4 wrt a?\nAnswer: -133542*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-14) + 3\/6*-8. What is the nearest to 1 in -3, -0.77, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 10. Let t = -9 - -1. Let i be m(t). Let l = -1 + i. Calculate the remainder when 66 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172825 by -775.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5084.6 - -4928. Round l to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*10\/(-20)*((-16)\/20)\/4*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4818 = 237*n + 250*n - 49*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -437\/6. Let w = 5\/4 - 3\/4. What is the closest to -1\/2 in z, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, p: 3, k: 3, f: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42516 - -0.07484. What is the second smallest value in i, 19, -22\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 9386*b + 66072747.\nAnswer: (b + 14079)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25007?\nAnswer: 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 2. Let d = a - 1. Suppose d + 83 = 3*z. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 137 + a**2 - 137 - a. Suppose 4*t = -0*t - 8. Let x be (1*-10)\/(-2)*(-1)\/(-5). Let y(b) = -2*b. What is t*u(j) + x*y(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8064, -15899, -23734, -31569, -39404, -47239?\n\"Answer: -7835*i - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 + t - 1. Let p be x(3). Suppose -p*c = 2*s - 650, c + c - s = 638. Let m = -110 + c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:52 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, 2, -1, 3, -16 in descending order.\nAnswer: 4, 3, 2, -1, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25030 (base 8) to base 7.\nAnswer: 43263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -b, 4*b + 26 = 5*o - 0*o. Let y = 20 + b. Solve -2*w = -n - 1, -2*n = -4*w - 6*n - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16670 - -766?\nAnswer: -15702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -754605 and 0.5.\nAnswer: -754604.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -13. Let s(w) be the first derivative of 0*w**5 - 1\/3*w**h - 1 + 0*w**4 + 0*w**2 + 0*w + 1\/3*w**3. Find the third derivative of s(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -23, -1\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 25*t - 31. Let c be v(2). Solve g - 18 = -c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5035, -5167, -5299, -5431, -5563?\n\"Answer: -132*j - 4903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i*k**3*l*n + 54*i*k**3*l - 39*i*k**3*n**2 - 3393*i*k*l*n**2 + 6*i*k*l - i*k*n - i*n**2 + i - k**2 wrt n.\nAnswer: -78*i*k**3 - 6786*i*k*l - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 4. Let t(b) = -2*b**3 - 4*b**2 - 6*b - 7. Let j be t(-2). Let a be 1 - (j - 3)*4. Let y(k) = 6*k**2 + 7. Determine a*d(u) + 4*y(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88010098 or -88010109?\nAnswer: -88010109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184028 + -384028. Let j be -2*(-15)\/(-1)*x. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14327387.92 + 14327364.91999926. Let d = u - -23. What is d rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/2 - 14208621*p + 201884910721641\/2 = 0.\nAnswer: 14208621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 1 - 1. Let g(j) be the second derivative of 11*j**4\/6 + 3*j**2\/2 - 5441*j - 2. Determine g(v(c)).\nAnswer: 88*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**4 - 64*k**3 + 60*k**2 + 72*k - 60. Let q(y) = 8*y**4 - 128*y**3 + 121*y**2 + 146*y - 120. Let b(d) = 4*q(d) - 9*v(d). Factor b(j).\nAnswer: -4*(j - 15)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/27*4\/(-5)*60\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - 2*l**2)*(3*l**2 + 7*l**2 + 7*l**2) - 1 + 0 - l**2 - l**4 - 1.\nAnswer: 33*l**4 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.7 and 0.261?\nAnswer: -3.5757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 - -2.7. Let w = -0.5968 - m. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k + 0*k - 5*k - 4*k + 2*k + 0*k + (0 + 1 + 0)*(0*k - 3*k + 2*k) + 985 + 142*k - 985 to the form n + z*k and give z.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1733356*l + 68. Suppose -11*r + 15 = -18. Let m be n(r). Round m to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 19*y = 2. Let v be 14\/10 - 4\/10. Let b(g) = -g - 7*g**2 + 2*g - 2*g - v. Give b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.1. Let x = l - 2.01. Suppose -8 = -63*a + 60*a + 2*g, -5*a - g + 22 = 0. What is the smallest value in a, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 10. Let w be 5*l\/((-105)\/(-12)). Let i(q) = -q**2 + q + 4. Let o be i(0). Solve -2*h = 5*v - w*v, o*v = -h + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -16*d - 4. Let n be 3\/9 - (-17)\/(-3)*d. What is the second derivative of n*t + 12*t + 21*t**5 - 3*t**5 - 5*t wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/4 - 10*g**2 + g\/4 + 10 = 0.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((2*sqrt(72))\/sqrt(6)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(9 - 372\/32).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2 + b + 2. Let s(c) = -6*c**2 + c + 3. Suppose 3*t + 15 = -2*t. Suppose 4*k = r + 4, -5*r + 5*k = -8*r + 22. Give r*f(p) + t*s(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 5*k - 40, 21*x - 22*x = -3*k + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/264 and -115\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 30*f**2 - f - 1. Let u be k(-2). Let t(o) = -1 + 1 + u*o - 117*o. Let y(p) = -p. Give y(t(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772955927?\nAnswer: 6089, 126943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:03 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928 by -28005.\nAnswer: 928\/28005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.6 - 1.4. Let s = k + 19.9. Let u = 0.5125 + -4.5125. Put u, s, -0.5 in increasing order.\nAnswer: s, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -120. Let d = 2 - j. Let o = -39.9999965 - d. What is o rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 17466?\nAnswer: 52398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 141440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(114) - -1*sqrt(114))*6)\/sqrt(6) + 0 - (3 + 1 + sqrt(19) + (1*sqrt(133))\/sqrt(7))**2*6.\nAnswer: -557 - 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*k**3 + 2600*k**3 - 1314*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370 - -41. List the prime factors of (-3)\/12 + b\/12.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.942 + 0.892. Which is greater: l or 1\/71?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*j, 2*s - 12*s = 3*j + 2*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.03398369 - -0.4\nAnswer: 0.36601631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*j - 1859*j + 922*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -21. Put -1, c, -2\/11 in descending order.\nAnswer: c, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222585173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 56 = 5*p - 2*w, 16 = p + 2*w. Solve 0 = 5*j + 5*n, 5*j - n = 4*n + p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692553483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -13*i - 50. Which is smaller: i or 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 + 2685*d**2 - 135939*d - 138621 = 0.\nAnswer: -943, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294*i - 50260 = -730*i + 12300 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from pilllppwll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1012*h**5 - 11*h - 25.\nAnswer: 20240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50232768 is divided by 5869?\nAnswer: 5866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-91) - 204\/26. Let m be (-42)\/p*4\/3. Solve m = -3*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1709101 + 945087 = -5*t, -3*a + 5*t + 1990646 = 0. Let o = 9310521\/14 - a. Let l = o + -1498. What is the common denominator of 127\/18 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrr when four letters picked without replacement from crrcrrrr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 211 = 137. Is -3 + 3 - (d + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 3*q - 1. Let p be o(2). Let j be (p - -4)\/((-2)\/(-4)). Solve -2*f + 0 = j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-1 + (2 - 2))) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Let c = 5 - s. Let l = -172\/133 + 30\/19. What is the nearest to l in 0.5, c, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 700\/(-32)*(-19696)\/12310?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-72)*-4*3)*-14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (4 - 4) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1293 - -2543. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 3. Let t be v(-2). Let m(i) = -t + 1 - i - 1. Let n = -1 + -3. Determine m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.5 + 5.8. Let g = m + 9. Let p be ((-1)\/(-6))\/(5 + -6). Which is the third biggest value? (a) 2 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22670218507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(0*h**2 - 3*h**2 + h**2) + 4116*h + 53 + 2*h**2 - 4116*h in the form b + q*h + k*h**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.105 - 0.105. Which is the closest to v? (a) -1 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8610 and 4829349?\nAnswer: 48293490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 155.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1421162 (base 7) to base 9\nAnswer: -318708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = -42*j + 4676. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c + 71*c**2 + 5 + 3 - 72*c**2 + 8. Determine v(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8)\/(2\/((-10)\/65))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12 - 69 - 22 + 49 - 30 + 29*v. Let r be l(3). Suppose 0 = -d + 1 + 2. Solve -4*z = -r*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/30)\/(4\/(-40)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -173 + 0*x + 112 + 64 + 4*x - 2*x. Let s(h) = -5*h - 8. Determine 6*s(a) + 17*t(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2435.727126 and -27.\nAnswer: 2408.727126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3290, -6571, -9856, -13145, -16438, -19735?\nAnswer: -23036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9392889*-0.5\nAnswer: -4696444.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (60 - -62) + -8 + (61 - 30)\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 73 = 2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:49 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*(((v*v*v*v\/(v**(3\/13)\/v))\/v*v)\/v*v)\/v)\/v*v))**(-3) assuming v is positive.\nAnswer: v**(147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*w + 54 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 3*z**2 - 9*z + 0*z + 17*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4426)\/(-4366) + (-5)\/5. Let w = -4\/59 + c. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5003, 4999, 4993, 4985?\n\"Answer: -s**2 - s + 5005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 8. Let a = 9 + -8. Let r be 2 + -3 + a*-6. What is the units digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 5, s: 4, m: 5}. What is prob of picking 1 g and 1 s?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 + 0*u**2 + (0 - 4 + 2)*(1 - 1 - 2*u**2) + u**2 + 0*u**2 + 0*u**2)*(-6 + 2 - 7).\nAnswer: -77*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -20*n**3 + 17*n**2 + 17*n - 2070. Let w(d) = 7*d**3 - 6*d**2 - 6*d + 690. What is -6*k(i) - 17*w(i)?\nAnswer: i**3 + 690","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/43 (b) -4\/5 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17265741*u - 17265741*u + 0 - 18*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371661 (base 15) to base 12.\nAnswer: a72284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894908 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086080 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17805 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135870379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/11, -14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:59 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 997870, 997871, 997872, 997873, 997874?\n\"Answer: c + 997869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.66 + 12.56. What is the closest to d in 3\/2, 12\/23, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + 4*z**3\/3 + 4*z**2 - 316. Suppose -5*i - h = 31, 37 = -0*i - 3*i + 4*h. Determine s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 67.11213 decades in years?\nAnswer: 671.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(3*y - 2*y + 0*y)*(2 - 10 - 5).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 2, n: 1, j: 1, x: 1, c: 1}. Give prob of picking 1 a, 1 n, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -457, -2\/23, -5, -3, 2\/7?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4657 = 11*o - 5738. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-2)\/(-4) - 0. Let g(n) = -2*n**3 - 69*n**2 - 37*n - 12. Let y be g(-34). Suppose -y = -i*u + 4. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3448815, -3448814, -3448813, -3448812?\nAnswer: -3448811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-21))\/(-2*(-2)\/72). Let c(b) = -11*b**3 - 2*b**2 + 1. Let g be c(1). Let k be 5\/p - (-3)\/g. What is the smallest value in -1, k, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*j - 2*j - 13, 0 = 4*g - 16. Suppose 72 = -4*f + 5*x + 232, 0 = -3*f + 5*x + 115. Let p = 45 - f. Sort j, p, -5 in descending order.\nAnswer: j, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/9)\/v**(3\/7)*v*v*v**2*v**(-2)*((v**(2\/7)*v)**(1\/20))**2 assuming v is positive.\nAnswer: v**(143\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 3. Let d(m) be the first derivative of m - 2. Let b(x) = a(x) + 2*d(x). Is b(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3871.139 years?\nAnswer: 3.871139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3\/3 - 4196*f**2\/3 - 366100*f + 367500 = 0. Calculate f.\nAnswer: -525, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:37 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 3*r. Let j = r - 7. Let y be (-2)\/(-5) - 514998\/j. Round y to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.07, 58, -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -71*r**7\/70 + 407*r**4\/24 - 681*r**2. What is the second derivative of w(k) wrt k?\nAnswer: -2556*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1522226*u - 1054258.\nAnswer: -1522226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 29 + (0 - -1). Suppose b = 4*l + 5. Suppose -k + l + 29 = 2*g, -3*g = k - 51. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6552402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + 2*z - 4, 3*n - z - 12 = 0. Suppose 5*w + 364550 + 21205475 = -3*j, 4*w - 35949980 = n*j. Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4635 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15292 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 - 73*o**3 + 730*o**2 - 2108*o + 1848 = 0.\nAnswer: 2, 21\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 274055206295935.\nAnswer: -274055206295932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 14*j**2 - 3*j - 22. What is p(13)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 24*m + 15. Let c be s(24). Are 15 and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.1897\nAnswer: -0.35691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-12))\/(330\/176). Factor 2\/9*m - g*m**3 + 0 + 4\/9*m**4 + 0*m**2.\nAnswer: 2*m*(m - 1)**2*(2*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4989*g**2 + 9966*g - 24.\nAnswer: 3*(g + 2)*(1663*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (18 - 4 - 4)*(8 - (-14 + 20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-47))\/(143\/(-104))\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45547048471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0256 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 22\/7, 22, 300, -0.5, 2\/5, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18287 - -18286.50796. Round x to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1177416 and -35\/342228.\nAnswer: 425047176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256 - 326 + 654)*(-11 - 8*a**2 + 11).\nAnswer: -576*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -142. Let m(v) = -3*v + 31. Calculate the remainder when m(w) is divided by 31\/2 + (-3)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*sqrt(121)*-1 - sqrt(121)))\/(-2*sqrt(22)\/sqrt(2)*4) + -3.\nAnswer: -3 + 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:43 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14945\/21 + (-21)\/(-9) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Let p = s + 0. What is the derivative of 6 - 2 - 2*z + z - p wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -2*p + 4*y, -3*p + 350 = p - 2*y. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u + 9. Suppose -68 - 48 = 2*o. Let r = o + 63. Solve -w - 7 = -2*b, r*b - u*w - 20 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 756548790 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1369, -10691, -36007, -85315, -166613, -287899?\n\"Answer: -1333*o**3 + o**2 + 6*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-8 - (-167 + 149 + -1 + 12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 4850027 and 4849915 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i - 1. Let d(t) = -7*t**2 - 11*t - 2. Let x(z) = -d(z) + 2*l(z). Find the second derivative of x(s) wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d + 7. Let z(a) = -4*a - 12. Let n be z(-4). Suppose 4*m = 7*m, -3*m = -n*x - 12. Let c be (-2)\/(-6) - 14\/x. Determine f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2533138 is divided by 4631?\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66202\/27 - 2452. Which is the nearest to -4? (a) -3 (b) -0.4 (c) 7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Let c(l) = 12*l + 3. Let i be c(b). Suppose -2*n - n + i = 0. What is the greatest common factor of 136 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3268, 3296, 3342, 3406, 3488, 3588, 3706?\nAnswer: 3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -20 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + (-1 - 3) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 4*h - 9*h + 7*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -72*y + 55. Let i be p(-12). Suppose 15*o + 19 = i. Let z = 288 - 198. What is the greatest common divisor of o and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796539245?\nAnswer: 5, 47, 11900167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x - x. Suppose -2*j + 14 = -4*w + 6, 0 = -j - x*w + 19. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -2 - sqrt(2736)) + 4 + sqrt(2736) + sqrt(133)\/sqrt(28)*-5)**2.\nAnswer: 38*sqrt(19) + 6875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8974 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 34306*j**4 + 68667*j**4 - 34335*j**4 - 11 - j - 27 as x*j**4 + u + w*j**2 + h*j**3 + n*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 5*o**2 - 14*o - 11. What is z(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -18 - (-5 - 3) - 32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -0.2, -234, -0.03, -0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 208504 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2100212100 (base 3) to base 11\nAnswer: -31a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5 and 38\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 54. Suppose 2*c + 10 + 12 = q. Let b = 19 + c. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 4\/(-6). Suppose z = 2*v - 20 + 8. Suppose -b + v = 1. Solve -b*n + 3*a = -23, -4*a - 2 = -2*n + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 + 14*c**3 + 13*c**3 - 4*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28100 - 4971.05.\nAnswer: 23128.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 14*l**2 - 13*l - 17. Suppose -a + 3061 = 3076. Determine s(a).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24*l**2. Let z be ((-9)\/(-6))\/((-3)\/8). Suppose -169*b = 148*b + 58*b - 7875. Let w(v) = -5*v**2. Give b*w(i) + z*o(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30933, -30936, -30935, -30924, -30897?\n\"Answer: n**3 - 4*n**2 + 2*n - 30932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-35)\/126*-81.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.323 - 0.023. Let r = 3.5 - f. What is the closest to r in 0.5, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 989*l**2 + 210*l**2 + 261*l**2)*(-1 + 2*l**2 + 1).\nAnswer: -4*l**5 + 2920*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2787 + 2671. What is the third smallest value in s, -8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -111569, -111564, -111559?\n\"Answer: 5*x - 111574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01618 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 258 = -16*b + 11*b, 260 = 4*p - 4*b. Suppose 0 = 64*f - p*f + 24. Solve f*d - 12*d - 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2766)\/(-1844))\/((-378)\/8)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1694 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 359280?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 2 = -44*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3403 = 128. Let p = -452 - w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 968 - 701. Which is smaller: k or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 + 4*p**3 + 4*p**3 - 10*p**3 + 0*p**3 + 6*p**3 + (-5*p**2 + 0*p**2 - p**2)*(6*p - 5*p + 5*p) in the form s*p + m*p**2 + d + y*p**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 74 (b) 25 (c) -893\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 1171953 - 421953. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 64\/13*w + 2\/13*w**3 - 62\/13*w**2.\nAnswer: 2*w*(w - 32)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4398 is divided by 855?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -28, -208\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -63526 divided by -711\nAnswer: 63526\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*k + 63 + 252 + 229*k + 200*k + 201*k.\nAnswer: -2*k + 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8265829*d**2 - 8265829*d**2 + 22*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*r = 3 + 4, -l = r - 2. Suppose 3*z + l*b = z + 154, -5*z + b = -385. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*a + 6)*(8 + 15*a - 6*a - 11).\nAnswer: 45*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 13*s + 5. Let x be i(7). Let u be (-7 + 5)*(x + (-9)\/(-2)). Put -4, 3, u, -10 in descending order.\nAnswer: 3, -4, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*v + 14456 = 3*d, -4*d = -3*v - 28938. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 468*q - 974 + 5395 = -6811 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 1320*y + 87120.\nAnswer: 5*(y - 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504 + 537 - 2*j + 577 - 1523.\nAnswer: -2*j + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/4 + (7 - 4). Factor -10*u**2 - 12*u**o - 1 + 5*u - 5*u**3 - 4 + 27*u**2.\nAnswer: -5*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.85 + -1.35. What is the nearest to 1 in -2\/3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943477999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 15}. What is prob of sequence ktkk?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 2, -2\/7, 4\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h + 2 = 0, 0 = -2*h - 9 - 1. Let v = 3 - 3. Let x = -7 - -8. Which is the closest to 0? (a) v (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3151 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437342 is divided by 2903?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.5. Let t = 4 + -3.93. Let o = t - 0.07. Sort 3, o, a in ascending order.\nAnswer: o, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - i**2 + 186*i**3 - 166*i**3.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 3, h: 4}. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*a**2*j**2 - 3*a**2*j + a**2 + 6*a*j**2 - a*j + 111336*j**2 + j + 348277 wrt j.\nAnswer: -52*a**2 + 12*a + 222672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czcc when four letters picked without replacement from {z: 6, c: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 128\/7*s**2 + 290322\/7 - 12192\/7*s = 0.\nAnswer: 381\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y**2 + 339562 - 339562.\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25512\/131812*2108\/6.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77800 or -311205\/4?\nAnswer: -77800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1013 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.075959 - -7270\nAnswer: 7270.075959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-10*-3*(-16)\/(-60). Let d(x) = x**2 - 8*x + 1. Give d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:05 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845380309?\nAnswer: 2897, 636997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 5. Suppose -4*r - 5*l = -148, -2*l + 4*l - 37 = -r. What is the remainder when r is divided by j(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/8 - 7*z**3\/6 + 3*z**2. Suppose 8*d - 154 + 18 = 0. Let i(o) = -8*o - 20. Calculate d*m(s) - 6*i(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - -14 - (21 + -15 + -15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. What is g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*u**3 + 0*u - 530\/9*u**2 + 0.\nAnswer: 2*u**2*(u - 265)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51520 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 793 divided by 4\nAnswer: 793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 26667*a + 4440. Let s be f(7). Round s to the nearest one thousand.\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*z, 4*o - 9 = 13354*z - 13353*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*p + 75*p + 58*p - 10*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 53581.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411 - 2*z - 480 - 486 - 462 - 6*z.\nAnswer: -8*z - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ogogggggoo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/3 - 2*v**4\/3 - 8*v**3\/3 - 2*v**2\/3 + 7*v\/3 + 4\/3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (23 + -20 + 3)) + (-108 - 6)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 240*j + 1. Let y(a) = -2*a**2 - 8*a. Let f(t) = -4*t**2 - 20*t. Let b(z) = 2*f(z) - 5*y(z). Determine b(n(l)).\nAnswer: 115200*l**2 + 960*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/25*16\/(-1176)*35.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a factor of 89230680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u - 33*u**2 + 3*u + 5*u to s + q*u**2 + c*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 282*s**2 + 291*s - 1477. Calculate p(140).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90920 - -90904.00096. Let f = 26.3 - 10.3. Let j = l + f. What is j rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(-5 + (1 - -10)). Find the second derivative of -3*u + 134*u**f + 6 - 53582*u**2 + 53582*u**2 wrt u.\nAnswer: 804*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 2635\/153)\/(25\/9).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:11 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(180))\/sqrt(9) - sqrt(20))*3)\/(sqrt(90)\/(sqrt(324) + (sqrt(324)*3 - sqrt(324)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from aaavvavaaaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*n - 344. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (692\/5190)\/(-9*20\/(-75)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by -6*(0 + (-4)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -77*p**3 - 5*p**2 - 3*p - 26. What is the units digit of v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/11 - 59439*u\/11 - 891810\/11.\nAnswer: (u - 59454)*(u + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 50*d**3 + 335*d**2 - 580*d + 300.\nAnswer: -5*(d - 2)**2*(d - 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.21, -3 in increasing order.\nAnswer: -3, -0.4, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 + (-7 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 0.1, -1\/6, -2\/69, -3\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/5328 and 107\/40848?\nAnswer: 122544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-1)\/(3\/(-18)). Let k be (u - -1)\/(6\/(-10)). Suppose -27 = -h + k*a, -4*a + 0*a - 31 = -h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y**2 - 3. Let f(g) = 15*g**2 - 2. Let j = -4 + 1. Let r(o) = j*f(o) + 2*z(o). Let k(n) = 3*n**2. Give 9*k(q) + 2*r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -253*h**2 - h - 271. Let k(i) = -2*i. Calculate k(p(f)).\nAnswer: 506*f**2 + 2*f + 542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 465 - 78?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 0. Suppose -n + 18 + 61 = o. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 3 - 3 + c - c + 2*c**2 + (5*c - 4*c + 2*c)*(c - c + c) - 2*c**2 + 5*c**2 - c**2 + 0*c**2 + c**2 - 3*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -26666?\nAnswer: 26665.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-51)*-51*(-13)\/(-390).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048323 times 2?\nAnswer: -0.096646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58024501*k**3 - 116049004*k**3 + 58024512*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1304054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 19*u + 8. Let b be l(-16). Let d be (-22)\/10 - (-32)\/b. Suppose f - 4 = -13. Put f, 2, d in ascending order.\nAnswer: f, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 at least as big as -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 17962854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.664 + 0.336. Let j be (7\/(-3))\/((-88)\/144) - 4. What is the second biggest value in a, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/11 - 242*q - 161051.\nAnswer: -(q + 1331)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -5 + 10 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469073.682 minutes to weeks.\nAnswer: 46.5350875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 4*o, -5*j - 2 - 3 = -2*o. What is the units digit of j\/(2 - (-51)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 - -2 - -13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**6\/40 + x**5\/15 + 7*x**3\/3 + 20. Let g(k) be the third derivative of n(k). Find the second derivative of g(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 + -34?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/35 in 29, -4, -2, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 7323982?\nAnswer: 7323982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152201682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**3 - 2810*i**2 - 3276.\nAnswer: -6*i**2 - 5620*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/14)\/(((-5)\/(-2))\/5). Let z(n) = 2*n**2 + 3*n - 1. Let v be z(l). Let a be v\/10 + (-1668)\/60. Which is bigger: -26 or a?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 2761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + (-604)\/(-6). Suppose -3*z = z - q. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550355436 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/64*(96\/(-8))\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15423 + 23936495\/1552. Let p = 6218190645017\/7760 + -801313229. Let j = p + g. Find the common denominator of -11\/122 and j.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 16) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39869 or 2671172\/67?\nAnswer: 39869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 849*f**3 + 89*f**2 - 2*f.\nAnswer: 5094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 9?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1*-3 + sqrt(152))\/(-1*sqrt(200) - sqrt(200)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 93, 83, 73, 63?\n\"Answer: -10*u + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6143*j - 6143*j - 37*j**2.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6968, 13955, 20942?\nAnswer: 27929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s + 3*s)*(8 - 26 - 24).\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27867 - -39126. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664048 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: What is the ten millions digit of 10302345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1295 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 18032.2 milligrams?\nAnswer: 0.0000180322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = -a - 425 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013773 to 7 decimal places.\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2112?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186858134 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpkvk. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5262 - -5294. What is the remainder when 342 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/105*(-20)\/24*2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.02953329?\nAnswer: -0.41346606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10*x + 20*x = 341 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/60 + 2*i**4\/3 - 4*i**3\/3 + 5*i**2 + 12*i. Let b(g) be the first derivative of p(g). Does 28 divide b(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -88, -121, -156, -193?\n\"Answer: -m**2 - 28*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508760789 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*i**2 + 534*i**2 + 78*i**2 in the form z*i + l + a*i**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*g + 43, -5*g + 4*x - 5*x = -104. Let y be 3\/(g\/(-5)) + 1. Which is bigger: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**6 - 3*d**3 - 365*d**2 - 1?\nAnswer: 840*d**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -229\/6 (b) 1 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w + 0*w - 2*w + w**2 - 6 - 6. List the prime factors of u(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -169. What is the closest to -2 in 2\/3, -5, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2eab (base 16) to base 15.\nAnswer: -3817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 + 2*f - f**3 - 5 - 470*f**2 + 2 + 4 + 472*f**2. Determine j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/774 and -131\/650.\nAnswer: 251550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 2 (b) 0.1 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15))\/((20800\/(-13536))\/130)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91602 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(6*(-60)\/54). Find b, given that -18*b**2 + 108*b + g*b**3 + 0 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382412 less than 4451?\nAnswer: -1377961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6901279 and 616.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*q - 216 = 0, 0 = -67*q + 70*q - 12. Solve 28*n + w = -88 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 853 and -8\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1) - -1)*-1. Let v(x) = 8*x + 2. Let l be v(7). Let o = -59 + l. Are o and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**6*b)\/b)\/b**0)\/(b\/(b*b*b*b*b*b**1\/b*b)*b*b*b)**(-28) assuming b is positive.\nAnswer: b**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 16, n: 4}. What is prob of picking 1 n and 3 g?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 * 16.711\nAnswer: -76.8706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*z - 324*i + 323*i, -5*z + 5*i = 64 - 54 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(6 - (-12)\/(-3)). Let z be (-4 - -4)\/(1 + 0). Suppose z = -i*y + 81 + 114. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 5, -2 in decreasing order.\nAnswer: 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 716*c**5*v**2 + c**3*v**2 - 8*c*v + 4*c + 2*v**2 wrt c.\nAnswer: 14320*c**3*v**2 + 6*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5445492 and 31356.\nAnswer: 16336476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12 and -53\/171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*b + 680*b = -874*b + 30*b + 22086 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/6 - 5417*h. Let v(a) = 4283*a. Give v(f(m)).\nAnswer: -4283*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(704) + 1 - (sqrt(704) + 3 + 2 + -1))*2)**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - -2*51\/(-84)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t*t*t**3\/t)*t)\/t**(-2\/5))\/(t**(1\/4)*t*t\/t**(-5)) assuming t is positive.\nAnswer: t**(-177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*z - 64508, -6*a = -4*z - 4*a + 64514. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4)*72\/21)\/((-39402)\/(-2786)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251945865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/19, -92?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d)**(-24))**(-17) assuming d is positive.\nAnswer: d**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and 331.\nAnswer: 329.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2 - -2*1\/4. Solve -r = -0*n + 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-392)*-12)\/(114\/8). Suppose w + 4 = 5. Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = q - 26. Suppose 2*v - 4*r = 22, -4*v - q = -9*v + 2*r. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, s: 6, p: 1, q: 2, f: 2}. What is prob of sequence fq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + 0*n**2)*(-2*n + n + 2*n) + (1 + 2 + 1)*(-92*n**3 + 5*n**3 - 17*n**3).\nAnswer: -418*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 14. Solve 3*h + 15 = -5*r, p = 2*h + 2*r - 0*r + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(77)\/sqrt(539)*3.\nAnswer: 18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 33 + 5*n**2 - 36 - n**3 + 2*n**2 + n**4 to j*n**3 + f + k*n**4 + q*n**2 + z*n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 3*f + 171 + 176.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3526240*d**2 + 21503813*d?\nAnswer: 7052480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34664, 69278, 103892?\n\"Answer: 34614*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*h = -3*u - 24 - 55, h = -3*u - 4*h - 98 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584)*2 + sqrt(1584)))**2 + 3)*6.\nAnswer: 38034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4)*(-3*u**2 + 3*u**2 + 2*u**4) + (-u - u + 3*u)*(u - u + 2*u**3) - 6*u**4 - 12*u**4 + 3*u**4.\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1813 - 1587 - 1850 + (0 + 3 - 2)*(3 + 4 - 5))*(2 - 2 + z**4).\nAnswer: -1622*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 65*n + 5. Let i be r(0). Solve -i*w - 46 = 18*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2. Suppose -16*n - 10 = -21*n. Let w(y) = -y**2 - 12*y**n + 8*y**2. What is w(x(u))?\nAnswer: -125*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 28*a**3 - 2*a**2 - a + 12. Calculate the remainder when q(2) is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1395396036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:54 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05725 * -4.\nAnswer: -0.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 not equal to -49133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71500 and 3190?\nAnswer: 2073500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*q - 5*q. Suppose -1 = -p - q. Does 2 divide 3\/(-2)*(5 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 585 + -319. List the prime factors of i.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h*m**4 + 3*h*m**2 + 2*h*r - 2608073*m**5*r**3 - 2*m**2*r**3 + 731*m**2*r**2 - m**2 - 196*r**2 wrt m?\nAnswer: 96*h*m - 156484380*m**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a. Let j be x(2). Suppose -j*z = -z. Is z*1\/(-3) + 12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3764*r**3 + 10*r**2 + 10*r. Let c(s) = -809259*s**3 - 2148*s**2 - 2148*s. Determine 1074*a(f) + 5*c(f).\nAnswer: -3759*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*c - 3*k, -2*c + 5*k - 4*k = -14. Let b(x) be the first derivative of -23*x**2\/2 - 11*x - 1267. Let a(q) = 4*q + 2. Calculate c*b(l) + 34*a(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*s**2 + 43*s**2 - 9*s - 188*s**2.\nAnswer: s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51134311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(3\/5)*w)*w**8*w*w**(1\/6)*(w**(-1\/4)*w)\/w*w*w assuming w is positive.\nAnswer: w**(619\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0 = 15. Suppose c*x + 22 = -4*i + 91, -2*i = 4*x - 42. Calculate the highest common factor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-30)*(-92)\/(-598)*18\/46\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.6 + 3.4. Let s = d + -20. Let v = s + 6.9999925. What is v rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70101000 rounded to the nearest one hundred thousand?\nAnswer: -70100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -680 - -2348. Calculate the greatest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -21, 2 in decreasing order.\nAnswer: 2, -5, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5635042822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(c - 7 + 7) + (-4 + 0 + 2)*(257 + 5*c - 257).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + 1 + 2 - 2 + 2*u + (-4 + 4 - 2)*(u - 3*u + u) - 2*u - 2*u + 5*u + 0*u + u - 2*u + 4*u - 5*u + 0*u)*(1 + 2 - 1).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d + 4. Is 7 a factor of (-27)\/d + (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284 - 167. What is the highest common divisor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -293115 or -293081?\nAnswer: -293081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 46*f**2 - 57*f - 145. List the prime factors of n(-46).\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 4. Let f(x) = 16*x - 20. Let z be (18 - (-1)\/((-4)\/(-16)))\/(-6 - -4). Give z*i(l) + 2*f(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 + 6*t + 3. Suppose 11 = 3*p - 25. Suppose p = -2*r + 4*r. List the prime factors of x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -15*u - 1\/6*u**4 - 1\/12*u**5 + 0*u**3 + 41\/2*u**2 + 0 - 1\/120*u**6. Let d(b) be the first derivative of r(b). Give d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 33*j**2 - j - 9. Let m be f(-33). Solve 2*x + 1 = x, 5*y = -4*x - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((130\/18)\/((-20)\/(-24))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10004 (base 5) in base 8?\nAnswer: -1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1502, -1461, -1438, -1439, -1470?\n\"Answer: -d**3 - 3*d**2 + 57*d - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 480 = 32*j. Suppose t - j = -2*t. What is the remainder when 124 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 10*g. Suppose -45 = 2*y + 3*y. Let j be a(y). Let b be (j\/3)\/(-2 - -1). Solve -b*o + 5 = -7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/10*(-7)\/42)\/(10\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/51 - 206\/(-6). Suppose -4*z + 102 = 3*t - 40, -5*t = 5*z - 240. Let c = t - o. 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 the cube root of 288020 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1195*g**3*s**2*x + 2*g**3 + g**2*s**2*x - 2880*s**2 wrt x?\nAnswer: 1195*g**3*s**2 + g**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/7))\/(b*b**(2\/9))*b**(-17)*b*b**(-4\/5)*b)**1 assuming b is positive.\nAnswer: b**(-4957\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -8, 6, 7, -3, -99.\nAnswer: -99, -8, -3, 6, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 137*h + 769. Calculate i(131).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, 410 in descending order.\nAnswer: 410, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33828 - -0.03?\nAnswer: 33828.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5748*f**2 + 4521 wrt f.\nAnswer: 11496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - 6 - (1 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21123757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 57259110 to the nearest one hundred thousand.\nAnswer: 57300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:35 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4 - 6*d**2 + d + 2*d - d**2 + 8*d**2. Let r be i(-4). Factor r*l + 0*l - l - l**2.\nAnswer: -l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306.968 + 305. Let o = i + -0.032. What is the closest to -1\/3 in -5, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyxyxxxxyy?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608 divided by -536?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 29 + 114 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-3 - 2088\/(-544). Let c = f - 10\/17. Suppose 4 = o - 1. What is the nearest to 0.1 in 1, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -174, -296, -418, -540, -662?\n\"Answer: -122*k + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:00 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 5*q - 15. Let y(v) = 4*v**2 - 4*v + 2. Let x be y(4). Let d = 34 - x. Is g(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, -7*h - 3*b - 652 = -680. Put 5, -7, h, -61 in descending order.\nAnswer: 5, h, -7, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 235. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1036000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:05 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4102602*j*t**3 + j*t - 974922*t**3 with respect to j.\nAnswer: 4102602*t**3 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 50504623.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 8:25 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7 - 9 - 4 - 3*p. Let y be x(-3). Suppose 0 = -5*g + 3*c + 25, c + 11 = -0*g + y*g. Solve -g*q = -4*f - 0*f - 16, -q = -f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*s**2 - 4 - 317*s**4 + 2*s**3 - s + 3 - s + 55*s**2 - 119*s**2 as v*s**4 + f*s + y + i*s**2 + c*s**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 5 - -5547) + -1. Let d = b - 2814. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/10 - b**3 + 2*b**2 + 7*b. Factor x(n).\nAnswer: 2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433041 divided by 7.\nAnswer: 61863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let s(n) = n**4 + 4*n**3 - 12*n + 9. Let u(h) = -s(h) - 2*z(h). Factor u(b).\nAnswer: -(b - 1)**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931.926 centuries in months?\nAnswer: 1118311.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/136 and 1 + (-610)\/(-180) + -7.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4 + 2 - 2 + 11*y. Let r(n) = 5*n - 2. Let i(f) = -5*r(f) + 2*z(f). Let v(h) = 3*h - 2. Let k(s) = 4*i(s) + 5*v(s). Calculate k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 27*r - 40. Let f be j(15). Solve f*b - 9 = 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 875*h - 865*h + 9 - 852*h - 2 + 2600*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwv. Give prob of sequence wwx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89690882?\nAnswer: 2, 44845441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -10481574\nAnswer: 7\/5240787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35408 and 19.\nAnswer: 672752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.4 + -12.3. Let u = -17 + w. Let j = -3 + 2.8. What is the closest to u in -5, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 108 - 2*b + b.\nAnswer: -b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-2) + (-25)\/5. Suppose 0 = -2*j + 3 + 7. Let v = -7 + j. What is the smallest value in 9, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2145 and 24990240?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 6*d**2 + 4*d - 1. Let f be o(-5). Let w be 4\/22 - 1274\/(-11). Suppose 0 = -6*b + w + f. Is b at most 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -4*q + 20, 5*q + 2*k - 25 = 0. Suppose 3*m - 14 = p + p, -4*p + 2*m - 20 = 0. Sort q, -5, p.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 814 + -818. Sort -0.3, -12, a in increasing order.\nAnswer: -12, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r**5\/7 - 237*r**4\/7 + 675*r**3\/7 + 15*r**2 - 648*r\/7 + 132\/7 = 0 for r.\nAnswer: -11, -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366441 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 35*h - 84. Solve 0 = -h*s + 31 - 37 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -4)\/(42\/(-2548)). Let i be b\/35 - (-1)\/(-5). Solve 4*n - 35 = 3*q, n + 10 = -4*q - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 r when three letters picked without replacement from {w: 7, r: 2, v: 1}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r + 35, -4*r - 853 = -4*w - 825. Let b(a) be the third derivative of 0 - 11\/24*a**4 + w*a - 17*a**2 - 4\/3*a**3 - 1\/60*a**5. Calculate b(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 702 + -1249. Let a = t + 966. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/7)\/t*t*t*t)\/t**(-13))**(-1\/11) assuming t is positive.\nAnswer: t**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 218420 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from kfjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (-1 - -25)) + 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2862910\/894675) + 1\/5. Is -1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 292, 0.4 in ascending order.\nAnswer: 0.4, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -6.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.10786 millilitres?\nAnswer: 0.00510786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(20\/(-12)) - 49. Let f = -28 - l. Let n be f\/(-12)*(1 - 3). Solve -35 = -n*a - 4*q, -a + 2*q = 3*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 5*o - 3*g + 335, -3*o + 1055 = -g. Find w, given that -o - 32*w**5 - 98 - 480*w**3 - 244*w**4 + 864*w - 1530*w**2 + 1746*w**2 + 124 = 0.\nAnswer: -3, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1514 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 16 = d. Let w(f) = -f**3 - 4*f**2 - 2*f - 3. Let z be w(-4). Suppose z*l - 48 = 182. What is the remainder when l is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlj when three letters picked without replacement from {j: 7, f: 1, l: 1, q: 6}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 6, h: 2, r: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7 = 32. Solve -4*v - 1 = y*r, 0 = -2*v + 4*v + 2*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27765 and 27768 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - s = 4, 3*s + 11 = 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2713803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10401*v = 10436*v + 735 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 585811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224023493*l - 343395032?\nAnswer: -224023493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7 + 6*d - 5*d**2 - d + 6*d**2. Let q be 18\/(-48) + 45\/(-8). Calculate the remainder when 24 is divided by t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95860 = 4*n + 5*a, -13*a = -9*a - 16. Suppose 9280 + n = 24*k. List the prime factors of k.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37904 is divided by 2689.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10f6 (base 16) to base 11.\nAnswer: -3298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8808, 17012, 25216, 33420, 41624, 49828?\nAnswer: 58032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.09, -5, 0.5, -1?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 16) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 4, -4, 16.3.\nAnswer: -4, 4, 16.3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Suppose 0 = 2*h + h - 6. Suppose 2*g + 8 = 3*j, 7*j = 4*j - g + 5. Let a(d) = -2 - d**2 + j*d**2 + h. Give a(q(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -s. Let m(q) = -7*q**2 + 17*q**2 - s*q**2. Let o(x) = x**2 + x. Let w(u) = -u**2 - 2*u. Let b(z) = 6*o(z) + 3*w(z). Determine m(b(n)).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 15*l**2 - 13*l + 34. Let i be j(14). What is the units digit of (-522)\/4*(-32)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -44*c**2 - c. Give g(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:31 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301 + 463. Let m = 156 - l. Sort m, 0.1, 2, 1.\nAnswer: m, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b - -289?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7559, 7557, 7555?\n\"Answer: -2*o + 7561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/143)\/((-65)\/3380)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((sqrt(245) + sqrt(245) + 1 + sqrt(245))*-3 - (sqrt(245)*1 + -3)) - (0 + 2*sqrt(245) + -4 + 2))**2.\nAnswer: -504*sqrt(5) + 105843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**5\/60 + 20*l**3\/3 - 2*l**2 - 4. Let f(s) be the second derivative of i(s). Is f(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - -1*sqrt(450)) + sqrt(450))\/(1*sqrt(810))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 + 6*r**2 - 855884 + 6*r**2 - 15*r**2 + 855884.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2402, 2875, 3348, 3821?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*r = -130*r + 6 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 + 108 + 251 = 58*y + 21*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -51*r. Let d(f) = 3*f - 7 + 10 - 3. Calculate w(d(p)).\nAnswer: -153*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m. Let z(p) be the third derivative of -47*p**5\/30 - 64*p**2 + 8. Give s(z(i)).\nAnswer: -1316*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-42)\/(-40))*(-24801)\/5905.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270054854 divided by -6?\nAnswer: 135027427\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:13 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19760803 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 1006 = -2612 - 702. What is the greatest common factor of c and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002856527365 rounded to 7 decimal places?\nAnswer: -0.0028565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(176))\/sqrt(4))\/(sqrt(448)\/sqrt(7) + sqrt(4)) + 1.\nAnswer: -4 + sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2505550 (base 6) to base 14.\nAnswer: 36906","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-seven quarters of a meter?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41304163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62420 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 - 24*x + 6579 = 0. What is x?\nAnswer: -51, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16231901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 + 3 + k + 0*k. Let v be s(-4). Suppose -5*t - 4*a + 1 = 4, v = 3*a + 6. What is the greatest common divisor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7510 and 91\/20.\nAnswer: 15020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 922955538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -143*v - 98. Is u(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 + 6*c - 10. Let b be l(5). Let u(s) = s**2 + 4*s - 4. Calculate u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d**2 - 2*d + 1. Let k be r(1). Let j = k - 0. Suppose b = -3*w - 5, 0*b + 2*w + 6 = 2*b. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let f(b) = -162*b**2 - b. Give j(f(i)).\nAnswer: 162*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:12 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 0, 5*g + 19 = 3*m + 3. Factor 2 + 12*j**3 + 1 - 3 + 8*j**4 + 2*j + 8*j**2 + m*j**5.\nAnswer: 2*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) -3 (c) -17 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:07 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:59 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 30*v + 2. Let m be s(0). What is the second derivative of -300 + 299 - 113*n**m + n + 86*n**2 wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1853671 or -1853674?\nAnswer: -1853671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -24. List the prime factors of 252\/15 - 8\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/13 and 40\/(-120)*(89\/(-10) + 2)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17307 + 32714 = -1920*l + 101 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.097 - 0.02.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-33)*(-2)\/(-4)*-3.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 2*q = -38 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1. Let r(f) = -4*f - 2. What is 6*j(u) + r(u)?\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/74 (b) -26 (c) 2 (d) -6 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3893 - 3893.0003804. What is q rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260640 and 807260.\nAnswer: 58122720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (61\/122)\/(17 + 504\/(-30))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5318*p + 329 - 665 + 336 to the form t*p + l and give t.\nAnswer: 5318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215456 + 17232 = 16*k. What are the prime factors of k?\nAnswer: 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 divided by -14?\nAnswer: 347\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -189*j - 930. List the prime factors of c(-30).\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*f - 35, 2*z + 80 - 70 = f. Solve f*s - 6 = -5*q, -3*s - 4*q + 4 + 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.061 + 0.061. What is the closest to -1\/2 in 5, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 - 10080*h + 8467200 = 0?\nAnswer: 1680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 23. Suppose -i*h = 3*z - 52671, 0 = 4*h - 4*z - 8281 - 44411. Suppose -v + 4*v - h = 0. What is v rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588 (base 14) to base 5\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k + 222 + 198 = 0. Which is smaller: k or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 689 - 690. What is the nearest to d in 4\/7, 2, 9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1171020.\nAnswer: 1171020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 43 = 7. Let x(v) = -v**3 - 10*v**2 - v - 10. Let p be x(f). Suppose p = r - 2 - 0. Solve -u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-3 - -12) - (-3 - (8 + -3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r + 1)*(129*r - 9*r + 25*r + 202*r - 62).\nAnswer: -694*r**2 + 124*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03401 + -0.03401. What is the smallest value in 124, 1\/9, -5, 2\/5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27736654 and 22?\nAnswer: 27736654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 5*a)*(6 - 2 - 2) - 464*a - 463*a + 1379*a - 462*a + 122.\nAnswer: -8*a + 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 17 = -5*m, l + 2 = 2*m - 9. Suppose -26*i = -23*i - 10035. Suppose m*n = n + i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b - 1. Suppose -2*c + 3 = -c. Let i(t) be the first derivative of 8*t + t**2 + 6*t**2 - c*t**3 - 4*t**2 - 5. What is i(n) + 6*m(n)?\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 0*j + (1 + 0 - 2)*(-5*j + 3*j + 3*j) - 5 - 9*j + 5)*(0*j + 2*j - j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021122221 (base 3) to base 7.\nAnswer: -612133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21c11 - -49?\nAnswer: 21c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 4*x - 4, -5*x - 6 - 13 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 175, 176, 177, 178, 179?\n\"Answer: l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 - p - 5. Let h be n(0). Let c(y) be the second derivative of y**5\/20 + 2*y**4\/3 + y**3 - 7*y**2\/2 - y. Is c(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22594*w + 2*w**2 - 22673*w + 2 - 5 to v*w**2 + i*w + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/249, -10, -1015, 0.4, 5, 2?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(288) + 2*sqrt(72)\/sqrt(4))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*k**3 - 1641945*i*k**2 + 9717078*i wrt k?\nAnswer: 6*i*k**2 - 3283890*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-14))\/((645\/602)\/(-15)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22845603*k**2 - 547*k - 19663 wrt k?\nAnswer: 45691206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8709829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:07 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 4, x: 3, a: 2}. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40737749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*y = 5*y + 16, -3*i + 20 = -2*y. Solve 0*m - m = -i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45330 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123 - d71?\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + -3313\/11. Let m = 103 + -3. Let t = m + -102. Sort t, 3, w in descending order.\nAnswer: 3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53409559 + 0.00649\nAnswer: -53409558.99351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/9)\/((-2)\/7*(-665)\/855)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15*4 + (-5 - -6) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 114573, -4 in increasing order.\nAnswer: -6, -5, -4, 114573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let o be n(-12). Let k = -26 + o. What are the prime factors of (-35)\/2*2*k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1 + 3 - 5. Let o(f) = 8*f**2 + 24. Calculate o(j) + 24*w(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12139782, 48559150, 109258096, 194236620?\n\"Answer: 12139789*x**2 + x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*a - 9, 3*x - 14 + 5 = 0. Let u(d) = -d**2 - 6*d + 5. Let j be u(-5). Suppose a*r + j = 7*r. Sort 5, r, -2 in increasing order.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 3, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - 114. Suppose 314*o - 310*o - 1196 = 0. Let k = o - p. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-12606)\/(-75) - (-2)\/(-25). What is the highest common divisor of 2187 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 19 - 5)*(8*f - 8*f + 9*f**4) - f**4 - 3*f**4 + 6*f**4 to the form z*f**4 + u*f**2 + q*f**3 + m + o*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 234192240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 276810, 276811, 276812, 276813, 276814, 276815?\n\"Answer: t + 276809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7661 and -7922901?\nAnswer: 7930562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:10 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6603 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 17*t**2 + 31*t - 15. Determine a(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/247 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*p. Suppose p*o - 7 - 5 = 0. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 15) + -7 + -2 + (3 - -56)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.5 + -0.5. Let z = -10.93 - q. Let t be (-2485)\/(-1365) + 5\/(-3). Sort t, -2, 5, z in decreasing order.\nAnswer: 5, t, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 401*t**5\/2 + 3199*t**4 - 1347*t**3 - 123454*t**2 + 253693*t\/2 - 5445 = 0.\nAnswer: -11, 18\/401, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 0*j + 0*j)*(117 + 216 + 28 + 139 - 94) in the form u*j + v and give u.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (3 - (41 + 50))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -43. Let l = m - -25. Let j be -80*l\/((-24)\/22). What is the highest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76284*v**5 - 984296*v wrt v?\nAnswer: 1525680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8 + 12)*(-4*m + m + m + (-2*m + m + 0*m)*(-5 + 4 + 3) + m - 4*m + m) to the form c + q*m and give q.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27639*p - 37 = 27602*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 40, 49, 58, 67, 76?\n\"Answer: 9*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.3672 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 2657*u**4\/4 - 90763*u**3\/4 - 94708*u**2 - 58548*u = 0. What is u?\nAnswer: -28, -4, -3\/4, 0, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1451 and -59\/3.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -1)*(1 + -2). Let l = i - 8. Let x = l - -28. What is the highest common divisor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/5 + 20*m**3 - 104*m**2\/5 = 0. Calculate m.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/48? (a) 4 (b) -0.5 (c) -0.15 (d) -1\/4 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-1\/45)\/(m**0\/m)**(-44) assuming m is positive.\nAnswer: m**(-1978\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 19*a. Suppose -4*q + 149 - 1393 = a. Let o = q - -435. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29280 (base 12) to base 13.\nAnswer: 20190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047086068 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 3*x + 14. Suppose -293*g = -326*g - 132. Let v be j(g). Factor -4*u - 5\/3*u**v - 4\/3 + 2*u**3.\nAnswer: (u - 2)*(2*u + 1)*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068431 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 + 6*i. Let j(b) = 2532*b**3 + 29020*b**2 + 88182*b + 26244. Let k(s) = -5*j(s) + 45*p(s). Determine o so that k(o) = 0.\nAnswer: -162\/29, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b40839 (base 13) to base 16.\nAnswer: -4015bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17145783.27 microseconds?\nAnswer: 0.000028349509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/120 + 5*c**4\/24 + c**3\/3 + 3. Let r(y) be the third derivative of k(y). What is r(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324 + 50. Let z(l) = -371*l**3 - 9*l**2 - 5 + 5 + 9 + a*l**3. Let q(n) = n**3 - 2*n**2 + 2. Determine 9*q(s) - 2*z(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24977\/265095 + -61\/685. Let g = 0.7 - 1. Sort g, f, -1 in decreasing order.\nAnswer: f, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -6\/95 (c) 12\/7 (d) -0.8 (e) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.7 + -39.7. Which is the smallest value? (a) h (b) 3\/4 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 - 52270*a\/7 + 683038225\/7.\nAnswer: (a - 26135)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3332)\/(-35))\/14*5\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48836506 and 46.\nAnswer: 1123239638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -13*c + 713. What is the remainder when 248 is divided by q(51)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let h(r) = 2*r + 57. Calculate h(s(n)).\nAnswer: -2*n**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 16623.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**3 + 2*v + 1. Let i be w(-1). Solve 0 = -4*a + 20, a - i = -3*l - 2*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5\/4 + 39*t**4\/4 - 9*t**3 = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 1145604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4849408 - 4849408 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 827260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -336, -507, -506, -321, 60?\n\"Answer: 2*c**3 + 74*c**2 - 407*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18600807 divided by 6\nAnswer: 6200269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -986 - -982. Sort j, -3, 4, 3 in decreasing order.\nAnswer: 4, 3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42373196318 - -275\nAnswer: 42373196593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.79075 milligrams to nanograms.\nAnswer: 49790750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 67*p - 345. Let i be h(-41). Is 1949 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 - 6348*q - 224630 = 0 for q.\nAnswer: -35, 3209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 4*q + 4. Let b(n) = -n**2 - 4*n + 8. Let p be b(-6). Let o be u(p). Let r = 5171\/5 + -1031. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n. Suppose q - 3*c - 17 = n, 27 = -4*q + 2*c + 75. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5\/3 + 215*l**4\/3 - 910*l**3 + 12640*l**2\/3 - 16000*l\/3 = 0. Calculate l.\nAnswer: 0, 2, 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*i = -621*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 24. Solve f - y*f + 25 = 0, -2*f + 22 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 11 = -3*n + 4, -30 = -5*x + 4*n. Suppose -x*t - 10*t = -5460. Let k = -229 + t. What are the prime factors of k?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = 18, -5*w = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-158)\/(-18) + (-1)\/(-27)*6. Suppose 26 = 7*s - f. Suppose -2*c - s*c = -1022. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -191 + 71. Let z be (3\/2)\/(r\/(-32)). Suppose -2*l - b + 30 = 0, -3*l - z*b = -4*l + 15. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875204243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.27655175 to 3 dps.\nAnswer: 1.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*t = -0 + 3, 4*t + 4 = -3*p. Let c be 1\/(46\/(-1)) - 0. Let g = c - 89\/138. Are g and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311829444 by 38526.\nAnswer: 8094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5124 and 2468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - -3*sqrt(100))\/sqrt(2))\/((sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b)**(1\/3)\/(b*b\/(b\/(b*b*b**(1\/5)\/b*b)*b))**(-2\/47) assuming b is positive.\nAnswer: b**(367\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 - 77319572*a\/13 - 747289526782898\/13.\nAnswer: -2*(a + 19329893)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 14*i - 36. Let c(h) = 1 + 8*h**2 - i*h**3 + 4*h**2 - 7*h**2 + h. What is the tens digit of c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2\/35*s**5 - 2\/21*s**3 + 0*s**2 + 1\/7*s**4 + 0*s + 5. Find f such that g(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 3*j - 3. Let n = 4 + -2. Let o be k(n). Suppose -o = -3*z - 0*z. Solve z*i = 2*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z + 6. Let o be (0 + 4\/8)*-2. Let h(k) = k - 1. Determine o*f(g) - 6*h(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -38568.3?\nAnswer: 77136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1 - j - 2 - 4. Let u be b(0). Let a(m) = m**3 + 4*m**2 - 4*m. Give a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 8*u**2 - 18*u. Calculate h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = 0, 257*o - 254*o = -5*k - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 11*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-4)\/(-12) - -12. Put v, 5, 1 in increasing order.\nAnswer: 1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001100100111101 (base 2) to base 15\nAnswer: 356d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + 2*o - 1. Let m be g(-3). Which is the nearest to m? (a) -1 (b) 0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:44 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15256227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46590237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -21. Suppose -u - 4*u + 6*u = q. Solve u = -3*a - 0*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.8, 0.3, -5\/78, 7\/6?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2 + (-28)\/15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 509*i - 2034. Let q be b(4). Factor -8\/3 + 4\/3*x**3 + 6*x**2 + q*x.\nAnswer: 2*(x + 1)*(x + 4)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/1200)\/(78\/20 + -3). Let p = 70\/3 - 139\/6. What is the nearest to 1 in r, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14441*m = -28811*m + 14444*m + 2886 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/9 (c) 1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128)*2 + 5)**2.\nAnswer: 160*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1) + 1 + 4. Suppose -3*o + 9 = -6. Factor -t**3 + 2*t**3 - 5*t**o + 4*t**k.\nAnswer: -t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+209.591\nAnswer: 206.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x**2 - x**2 + 3*x - x**2)*(-2*x + 2*x - 3*x**2) + 9*x**2 - 9*x**2 - 18*x**4)*(x + 2*x - 5*x)*(-9 + 19 + 21).\nAnswer: 1488*x**5 + 558*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2013, 1\/2, 1 in increasing order.\nAnswer: -2013, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**6\/80 - 141*y**5\/80 + 2209*y**4\/32 + 157*y - 1. Let o(c) = 0. Calculate c.\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*v - a, 0*a + 3 = 3*v + 4*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*4236\/(-3883)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 448 + 496 = -9*d, 2*d = -3*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.4. Let a = y + 0.6. What is the nearest to 1\/4 in 4, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*f - 46 = -186, -5*f = 5*a - 180. Suppose a*p = 130 + 150. Solve 8*m + 39 = p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-280512)\/(-12662) - (1 - -21). Let s be 15\/(-6)*8\/170. Sort v, 2, s in decreasing order.\nAnswer: 2, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/3 + 8*i**2\/3 - 13*i\/3 + 2 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 38 = -27*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32443*c. Let b(k) = -5*k**2 + 75. Give b(g(l)).\nAnswer: -5262741245*l**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 23 = -3. Let l = r + -23. Suppose -5*k + 4*i = -2*k - 69, l*i - 117 = -4*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + (6 - 3) + -46 + 57?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(143)*6*-3)\/(sqrt(22)\/(sqrt(2)*2 - sqrt(2)) - sqrt(11) - 2*sqrt(1584)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34.57887km?\nAnswer: 34578870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 8*r**2 + 10*r - 9. Let l be s(9). Suppose 5*j + 382 = 3*h - l*j, 0 = -3*j + 12. Let z = 236 - h. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*j - 1767396, 2*c - 36*j = -26*j + 1178304. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - 8\/(-56)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 + 13*t**2 + 45*t**2)*(6448*t**2 - 58*t**3 - 6448*t**2).\nAnswer: -3422*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((30\/(-105))\/((-6)\/14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1149376, 1149379, 1149384, 1149391?\n\"Answer: l**2 + 1149375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(12\/351))\/(9\/(-24)). Let p = 214 - l. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10031*f + 0*f**3 - 4976*f - 5055*f + 2*f**3 + 3*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 213872 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y + 54*y - 44*y - 14*y.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**5\/13 - 198*k**4\/13 - 326*k**3\/13 - 90*k**2\/13 + 46*k\/13 = 0. Calculate k.\nAnswer: -23, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 117?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 36. Does 4 divide b + 4\/4 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -3.4419\nAnswer: -0.34419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h + j - 76 = -78*h, 20 = -h - j for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/7, 3\/325 in ascending order.\nAnswer: -1, -2\/7, 3\/325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/6 + 314*w\/3 + 49298\/3 = 0.\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 1 - 1)*(-y**2 + 4*y**2 - 6*y**2) - y**2 + 2*y**3 + y**2 + (3 - 1 + 0)*(-5*y**3 + 2*y**3 + y**3).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -348 (b) 0.03 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*m**2 + 289*m**2 - 140*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. List the prime factors of 20*(2 - v\/(-2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:42 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 119674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16460, -32922, -49384, -65846, -82308?\n\"Answer: -16462*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470892.\nAnswer: 2, 269, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:03 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/10 + 26\/65. What is the second derivative of -6*i**3 - 189*i**5 + 6*i**r + 142*i**5 + 32*i wrt i?\nAnswer: -940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105628759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + 294\/35)\/(2\/5). Let o = 5\/21 + 3\/7. Let i be 0 - (3 - 38\/14). Which is the closest to o? (a) s (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75\/2)\/(-5)*14\/(-3920)*-14\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -18*q - 27. Let m(j) = -19*j - 27. Let g(t) = 3*m(t) - 4*w(t). Let i(v) = -2*v - 4. Calculate 4*g(n) + 27*i(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.6 - 17. Let v = 0.5 - l. What is the nearest to v in 4, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485\/(-291)*(-1)\/((-5)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:04 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 3. Let u be ((-20)\/6)\/(z\/(-6)). Solve -5*t + 15 = -u*r + 4*r, 0 = -2*t + r + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3401144.\nAnswer: -10203432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:07 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34939 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858647 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 6*x + 0*x**3 + 2*x**3)*(6 - 1 - 4 + (5 + 0 - 3)*(6 - 3 - 2)).\nAnswer: 6*x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564978?\nAnswer: 2, 3, 17, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*h**2 + 5\/2*h + 9\/4.\nAnswer: (h + 1)*(h + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455424 and 15085920?\nAnswer: 120687360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 8. Let z(p) = 7*p**3 - 9*p**2. Let c(i) = 13*i**3 - 17*i**2 - i + 1. Let n(o) = -6*c(o) + 11*z(o). Give n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 980076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-765)*5)\/(6\/27)*2\/110\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18596 + 4418.394\nAnswer: -14177.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 9903\/166717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2450) - sqrt(2450) - sqrt(50) - ((sqrt(400)*-1)\/sqrt(8) + sqrt(50)))\/(-3*sqrt(1440)*-1).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -24. Let h be (-5)\/(u\/6)*245. Suppose 2*w = -5*w + h. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*a + 2 = -1, -l + 5*a - 12 = 0. Suppose 3*d + 2*s = 205, 0*d - l*s + 59 = d. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20430 divided by 30.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 4.05. Let i = 0.45 + -24.45. Let z = 20 + i. Put -3, z, t in descending order.\nAnswer: t, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/23412 and -53\/12?\nAnswer: 23412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 27*f + 1302. Let t = 316 + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s + s**2 + 155\/6*s**3 + 1\/24*s**4 + 68. Differentiate q(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38111\/6 + 6354. Let z(f) be the third derivative of 0*f**4 - b*f**3 + 0 + 0*f**5 + 18*f**2 + 1\/6*f**6 + 0*f. What is the derivative of z(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -417a9 (base 11) to base 15\nAnswer: -13076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548537.\nAnswer: 11, 47, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5743 or 5759?\nAnswer: 5759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -6.67 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(216) - sqrt(6)))\/sqrt(7).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 1 + 9. Suppose -2*l + 4*j + 1 = 5, 0 = 5*l + 4*j - 32. Suppose -x*r = -l*r - 35. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2165704975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + -6 - -13) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = i + 3. Suppose -5 + i = 4*r. What is the tens digit of r\/4 + 26 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 51 = -w + 8*d - 14*d, -478 = -w + 5*d - 427 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1213*x - 1063*x - 866*x + 1 - 1 as u + z*x and give z.\nAnswer: -3142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -375?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 7. Give a(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19840690, 19840689, 19840688?\nAnswer: 19840687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4911\/5*(-7)\/252. Let o = 82\/3 + m. Find the common denominator of o and 63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12162 - 12156. Calculate the greatest common divisor of k and 5982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**3\/6 - 9*l**2\/2 - 4*l. Let n = -10123 + 10129. Let h(a) = a - 8. What is n*h(o) - 5*f(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 3*l**4\/2 + 2*l**3 + 107*l**2\/2 - 65. What is the second derivative of b(m) wrt m?\nAnswer: 36*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 167*v**6\/30 - v**4\/6 + 47*v**2\/2 + 5*v. Differentiate a(l) with respect to l.\nAnswer: 668*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -34*h**2. Let y(q) = -2*q**2 - q - 4. Let t(k) = -29*k**2 + 2*k + 8. Let f(l) = -t(l) - 2*y(l). What is -4*b(j) - 3*f(j)?\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o + 10. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/132, 179, -3\/4?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9)\/(-1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4401 and 2565.\nAnswer: 418095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001168516414 to five dps.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110201123300 (base 4) to base 12\nAnswer: 19753a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 20*p**2 + 4*p - 132. Give x(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446165156 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 + 44*q**3 + 42*q**2 - 14*q wrt q?\nAnswer: 144*q + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2) + -3)\/(-1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (-264)\/18. Suppose -5*f = 2*f - 35. Suppose r - 3*r = -f*y - p, -r - 4*y = -7. What is the lowest common multiple of 5 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (3 - 24) + -8 + 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -18181696*m**3\/3 - 254526688*m**2\/3 + 238780*m\/3 - 56\/3 = 0.\nAnswer: -14, 1\/2132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -1 - sqrt(343))**2*2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22113)\/8281 - (-240)\/624.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2*m**2 + m**2 + (1 + 2*m - 1)*(-5*m + m + 3*m) - 3*m**2 + 4*m**2 - 3*m**2 + (3 + 2*m - 3)*(1 + m - 1).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/3 - 1\/(-3). Suppose 18 + 10 = d*p. Suppose m = -5*s - 7, m + 3*s = -4 + 1. Calculate the lowest common multiple of m and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + 2*r - 1. Let l be u(1). Suppose -v - 4 = -5. Is l smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f - 3193*f + 2558 + 2684 wrt f?\nAnswer: -3200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 1. Let q be (7 - 0) + 19\/19. Is 23 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2168 and 248507.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/20 - c**4\/12 - c**2. Let q = 3751 + -3747. Let y(x) = 5*x**2 + 3*x. Let j(o) = q*y(o) + 7*h(o). What is j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 4)\/((-6)\/(-8)). Suppose -8 = 4*v, -5*c + 22 = 3*v - 67. Let q be 4\/(-14) - c\/7. Is q at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.082 - -89.682. Let n = m - 89. Let k = -2 - -2.4. Sort 0.11, n, k in increasing order.\nAnswer: n, 0.11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 173. Is 34 a factor of (238 - 0) + r + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + x = -8, 0*h + x + 2 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + 2 - (-136)\/(-51). Let n(x) = -2. Let f(q) = -q - 1. Give u*f(d) + n(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(8\/(-18))\/((-6)\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = 2*d - 7*d, 0 = 3*d - 5*t + 23. Sort 19, 0, d in increasing order.\nAnswer: d, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -0.7639.\nAnswer: -0.9639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (95 - 97)*((-15)\/(-20))\/(6\/(-20)). Let m(a) = -7*a - 61. Let b(k) = 4*k + 30. What is j*b(c) + 3*m(c)?\nAnswer: -c - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 3*o + 13, -1 = -o. Let x = u + 10. Suppose -2*f - f + 15 = x. Solve f*p + 0*p + 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4 - 8. Let f be 160\/75 + (q - (-52)\/60). Solve f*i - 5*b = 9, -b - 3 + 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3407 = -6*j + 2533. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2031 at most -2032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-20)*-5)\/(1162\/2324)*131\/(-4)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.25885354 to two dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 47513202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 0. Let n be (10\/25)\/(1\/10). Suppose w + j = 3, x = n*w + j - 7 - 14. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 13) in base 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -17*g + 247. Determine u(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-1125)\/100)*9\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -4 (c) -2048\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 68. Suppose -3*d = -5*o - 314, -d - h*o + 123 = -o. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7401 - 9c?\nAnswer: -74a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 48*a + 2*v + 10 = 0, -2 = -a + 2*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*k, 4*v + k = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*f - 26, 3*q + f + f = 43. What is the remainder when 855 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 - -2)) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 5, k: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64754 (base 15) to base 11.\nAnswer: -1a8663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026376092 rounded to 6 dps?\nAnswer: 0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/28*(-21)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + (-8 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*k + 1 + 70*k - 2.\nAnswer: 162*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 20*m**2 + 139*m - 2557. What is u(11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2355 - 2343, 5*v - 61 = p for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c - -7922?\nAnswer: 77e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7752 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + 1 + sqrt(162)*-2 + -1 + 0 + sqrt(2)*-2*-6 + -1 + 4)**2.\nAnswer: 12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.043428.\nAnswer: -0.543428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17654, -35359, -53106, -70889, -88702, -106539, -124394, -142261?\n\"Answer: f**3 - 27*f**2 - 17631*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13330 - -12023?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q**5 + 27*q**4 + 123*q**3 + 65*q**2 - 6*q = 0.\nAnswer: -1, 0, 2\/25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*g - 346*g = -2*u - 4, -4*u = -7*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3362, 6809, 10326, 13913, 17570?\nAnswer: 21297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -821*j**2 + 63290*j - 63290*j - 1 as n*j + v*j**2 + p and give v.\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(119)*-1 + (sqrt(119) - (sqrt(119) - (sqrt(119) - (sqrt(119) + 3*sqrt(119) + sqrt(119)))*-5)) + sqrt(119))\/((sqrt(84)*-2*-4)\/(2*sqrt(108))).\nAnswer: 51*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -1) + -33 + 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*k + 0 + 2\/7*k**3 + 2*k**2 = 0. What is k?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365184, -730358, -1095532, -1460706, -1825880?\nAnswer: -2191054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1442, 1437, 1430, 1421, 1410?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 78736962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 6*l + 10. Let a be w(5). Suppose 3*t + a = 2. Let h(m) = 2*m. Determine h(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 at least -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 406*u**2.\nAnswer: -2*u**2*(u - 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 42\/12)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4 + 162*y**3 - 2736*y**2 + 10830*y + 61731 = 0 for y.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (24 + -47 - -78)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r + y, -3*y + 0*y = -r + 2. Calculate the least common multiple of r and (-3)\/6 - 34\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5614 plus -34225997?\nAnswer: -34231611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*t**3 - 2*b*t**2 - b + t**5 + 2*t**4 - 955*t**3 - 4*t**2 + 32*t wrt t?\nAnswer: 6*b + 60*t**2 + 48*t - 5730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857743.\nAnswer: 3, 7, 45361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**6)**2\/(f**(1\/6)*f**(1\/4)*f**(-5)*f\/f**(-1\/5)) assuming f is positive.\nAnswer: f**(-19\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2)*21\/(-7)*(10 + -8). What is the third smallest value in 2, z, -0.351, -2, 2\/17?\nAnswer: -0.351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 44*z**2 - 903*z + 4635. What is k(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64 - 17?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8764176 or -0.2?\nAnswer: -8764176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/34230 and -127\/47922.\nAnswer: 239610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -812*k**3 + 3226*k**2.\nAnswer: -4872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (1 + (1 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30543767 from 11.5575.\nAnswer: 30543778.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -u - 12, -9 = -2*u + 5*u - 3*j. Suppose u = -14*k + 6*k + 80. Solve -x + 2*n = 3*x - 4, 5*x + 5*n + k = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.0894 to 1 decimal place.\nAnswer: 37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 1 + 3 - 5*l**3 - 4.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 262\/16 - (-21)\/(-56). Suppose 15*m - f*m + 3 = 0. Let s(z) be the first derivative of z**2 - 2*z - 2. What is s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/12 - 1240\/(-12). Let a(g) = 2*g**2 + 5*g - 9. Let r be a(5). Suppose r*j + n = 70*j. What is the remainder when 68 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 201007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**3*k*p - 2*g**3*k - 514*g**2*p - g*k*p - 4*g*p - 23*g - 3*p wrt g?\nAnswer: 42*g*k*p - 12*g*k - 1028*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1606 and 11534?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 21*z - 6*z**2 + 24*z + 356 - 64*z - 356.\nAnswer: -6*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.8 and -0.34.\nAnswer: -15.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**2 - 10*o + 5. Let t be x(4). Calculate the greatest common factor of 42 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 18. Let d = n + 30. Let s = d - -1. Solve -3*j - 20 = 4*g, s*j = -g - 2 - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*u = -14*u + 13*u + 16, h + 2*u - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3088.400016758 + 3088.4. What is b rounded to seven decimal places?\nAnswer: -0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = i - 33, -2*b + 0*b - 4*i = -22. Suppose -15*f + 72 = -b*f. What is the units digit of (6*-1)\/(f\/(-168))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 39*b**2 + 15. What are the prime factors of c(3)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4913, -9820, -14717, -19604, -24481, -29348?\nAnswer: -34205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(11))**2 + sqrt(44)\/(-3*sqrt(4)).\nAnswer: -19*sqrt(11)\/3 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3305969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50255 is divided by 349.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.2, 1, 0.43, 1\/3, -6, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/4))\/s**(1\/7)*(s*s*s*s*s*((s\/s**2)\/s)\/s*s)**(1\/16))**(-2\/19))**(-34) assuming s is positive.\nAnswer: s**(1513\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24715?\nAnswer: 5, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -16. Let v be -3 + 3 + z\/6. Which is smaller: v or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 22*o + 42. Solve 3*d + d - 16 = 2*t, o = -t + d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00329079 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*p - 522*p = 608*p - 1521*p - 3936 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2. Let w(r) = 4*r - 5. Let z(j) = -6*j + 8. Let o(v) = -8*w(v) - 5*z(v). Give o(t(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -5450.\nAnswer: -5449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/103, -15, 5, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 4*h**2 + 20*h + 38. Let b be z(2). Suppose -4 = -q + 16. Solve -3*y + 2*c - q = -0*c, -5*y + 4*c - b = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/10)*f*f**0\/f*(f\/f**(-7))**(2\/7) assuming f is positive.\nAnswer: f**(223\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3673*g + 3669*g = 20, -4*p - 6*g = 16 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183.897 + -184. Let u = i - 0.327. Which is smaller: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/9, 1\/6, 8\/3 in decreasing order.\nAnswer: 8\/3, 1\/6, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -5*f - 207. Calculate the remainder when 629 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 3 + (-1 - 1). Suppose d*y + y - 80 = 0. Let k(j) = 7*j**2 + 1. What is the least common multiple of y and k(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -678\/35 - -94\/5. Let l be (1 - 0)\/(-10 + 3). What is the second biggest value in -1\/4, l, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 271*c - 8 = 269*c, 5*b - 4*c = 44. Calculate the remainder when 841 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -289294*u - 1735763. Give q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 + 27*o**4 + 282*o**3 + 804*o**2 + 936*o + 384.\nAnswer: -3*(o - 16)*(o + 1)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115609396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(567) - 2*sqrt(567)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + o + 1 + 5 - 3*o**2 + 3*o**3 - 4*o**3. Let z be s(0). What are the prime factors of 51\/2*z\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 6. Let a = -5 + 19. Let o = a - 8. Calculate f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -4. Let m = 5 - x. List the prime factors of (1*-2)\/(m\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1163*i**2*z**3 - 3*i**2 - 13*i*z**4 - i - 108 with respect to z.\nAnswer: 3489*i**2*z**2 - 52*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159 = -119*x - 1508 - 379 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272775563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 14*v + 41. What are the prime factors of o(13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/442 and 36\/1343?\nAnswer: 34918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b - 1. Let i be v(3). Let p = -47 + 95. Calculate the common denominator of 5\/8 and 3\/p*i*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.30368 and 74\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423 - 610. Let v = m - -257. What is the least common multiple of 30 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 172*f - 164*f. Let n be (0 - f\/12)*-4 + -3. Solve -5*s - 4 + 14 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5 = 5*b. Suppose 59 = 9*z - b*z + 5*w, -4*w = z - 12. Calculate the highest common factor of z and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57306239 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 1\/150*j**5 + 0*j - 1\/60*j**4 + 2 - j**2 + 0*j**3. Let n(z) be the second derivative of f(z). Find i, given that n(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65)\/(-7) + (-6)\/21. Let n = 84 + -29. Suppose -6*l - 5*b = -l - n, -5*l + 10 = -4*b. Solve 3*j - m = l*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56dd9 (base 14) to base 13\nAnswer: -75227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13256 - g - 6626 - 6630.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 29. Let o be t(0). Let q = -22 + o. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-16)\/(-14))*-2. Let q = p + -2. Suppose -y = -2*y + 1. Calculate the highest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssdsdssdssssdi. Give prob of sequence dds.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -63. Let h(g) = 24*g**3 + g - 1. Let z be h(1). Let u = v + z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30716*-1.8\nAnswer: 55288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g**4 - 280*g**3 - 316*g**2 + 604*g + 48. Let l(k) = 2*k**4 - k**3 + k**2 - k - 4. Let p(v) = c(v) + 12*l(v). Factor p(m).\nAnswer: 4*m*(m - 74)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 18 + 10)*(-34*w - 68*w - 406*w).\nAnswer: -16256*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 53. Does 3 divide m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4419 and 13257.\nAnswer: 13257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214801\/38 - -5654. Calculate the common denominator of (-830)\/(-72) + 80\/360 and r.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*q**2 - q**2 + 9*q**2 + 2*q**2.\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/36)\/(-4 + 30\/8). Which is the nearest to 2\/5? (a) 1 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 3*r**2 - 9. Let z(k) = k**3 + 1. Let s be (85\/340)\/(2\/8). Determine s*l(p) + 9*z(p).\nAnswer: 3*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417188 divided by 2.\nAnswer: 208594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*q**3 - 3*q**2 - 233*q**4 + q + 667*q**4 - 221*q**4 + 4*q**2 - 224*q**4 to r + v*q**3 + c*q**4 + m*q**2 + s*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/24 - 2*k**3\/3 - 4*k**2 + 6*k. Suppose d(c) = 0. Calculate c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.335 - -0.518. Let b = l + 19.9. Let x = -0.126 + b. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*p - 6*p + 6, -5*l = 4*p - 7. Let h = 1 + l. Let i = 1 + h. What is the least common multiple of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03 + 1.03. Sort 0, w, -6.\nAnswer: -6, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmbmuubngnubnm. Give prob of picking 1 g, 1 m, and 2 b.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 10, -4*n - 3*j - 100 = -9*n. Suppose 0 = -3*k + 5*f + 128, -f = 2*k - 65 - 42. What is the highest common divisor of k and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 7*t**2 - 5*t + 5. Let n(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/6 + 3*k**2 + 7. Determine b(x) - 5*n(x).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29400, -117563, -264482, -470157, -734588, -1057775?\n\"Answer: -29378*t**2 - 29*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33589532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28124768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 20, 21, 14?\n\"Answer: -4*a**2 + 21*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-2))\/(252\/(-336)))\/26\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + -2 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 26 - (-118)\/(-15) - (-394)\/(-30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -8 in increasing order.\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. What is the common denominator of o\/6 - 33\/(-20) and 95\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 2*y - 56. Give l(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 0.45\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*u - 12309 = q, -u = -q + 4103. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5532013, 11064025, 16596037, 22128049, 27660061, 33192073?\nAnswer: 38724085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.050937*-0.5.\nAnswer: 5.0254685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -2173?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7240.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 6 + 6)*(q + 0 + 0)*(q**2 - 4*q**2 + 0*q**2) + 0*q**4 + 0*q**4 - 2*q**4.\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/25 + 11*l**4\/10 - 127*l**3\/15 + 106*l**2\/5 - 108*l\/5 + 901. Factor p(m).\nAnswer: (m - 2)**2*(m - 1)*(m + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*s**2 + 16*s**2 - 22*s**2 + (8 - 21 - 61)*(-4 - s**2 + 4).\nAnswer: 122*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookwwililolkiklolkkh. Give prob of sequence hoo.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 20844.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1035 divide 8260586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70705052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 91\/(-210) + 2\/(-12). Let l = 88 - 88.15. Which is the biggest value? (a) f (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*y + 264*y + 270*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 32 = -2*l. Let g = -4 - -13. Calculate the remainder when 3\/(-12) + 202\/l is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91, 112, 159, 244, 379, 576, 847?\n\"Answer: 2*w**3 + w**2 + 4*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:36 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -2.6, 0.4, 21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000448 to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3 + 3*u + u - 2*u**3 + 3*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*y**5 - 115956*y**4 + 3586523*y**3 - 27440278*y**2 = 0. Calculate y.\nAnswer: -1462, 0, 137\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:47 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + 26*x - 35*x - 819)*(-2*x - 1 + 1).\nAnswer: 6*x**2 + 1638*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -1130703.\nAnswer: -1130702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49881288.\nAnswer: 2, 3, 47, 44221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14ab9b - -5?\nAnswer: 14aba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 59, 112, 167, 212, 235, 224, 167?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(125))**2.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*c - 27 = 0, -116*c + 112*c = 4*l + 24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9696946*f**2*l - 38*f*l + 6108*f + 2*l + 2 wrt f?\nAnswer: 19393892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 4. Let h = -313 - -318. Let v(x) be the third derivative of -h*x**2 + 1\/6*x**4 + 0*x - 3\/2*x**3 + 0. Determine -7*k(p) + 3*v(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 4*s + 24, -2*b - 3 = s. Which is smaller: b or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 585*n**3 + 0 - 629*n**3.\nAnswer: -44*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 208\/9 (c) -4 (d) 8 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5856 * 0.1.\nAnswer: 585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Suppose -4*y = -3*r + 1, 21 = -3*y - 3*r - 6. Suppose s = -4*s. Sort k, s, y in decreasing order.\nAnswer: s, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o + 0*o)*(-13 + 108 + 205 + 4 - 4 - 2 + (-3 + 1 + 0)*(0 - 1 - 1)) in the form s*o + r and give s.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -749\/6 + 124. Sort 0.3, 2, m.\nAnswer: m, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 4.94. Let k be 6\/8 - 2\/(-8). Let n = 2502.5 + -2502. What is the closest to 7 in n, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (-117 + 87 + -154).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/72 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 34241482?\nAnswer: -34241472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r**(-10)*(r\/r**18)\/r*r**(2\/29))**16 assuming r is positive.\nAnswer: r**(-4608\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.005 + 0.215. Let m = 0.11 - f. What is the second biggest value in 2\/5, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4 + 57*r**2 - 3*r - 64*r**2)*(4*r - 4*r - 2*r).\nAnswer: 14*r**3 + 8*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - 2. Let n be f(2). Let v(m) = 12*m. What is the least common multiple of 9\/n*(13 - 1) and v(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2157144 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12847 is divided by 678.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -629 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1475 + -767. Which is bigger: 715 or q?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517656 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(7\/4))\/(f**(-25)\/f))\/(f**35\/f*f**(1\/30)) assuming f is positive.\nAnswer: f**(-527\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:25 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1413*h = 1629*h - 864. What is the third smallest value in -0.2, 11\/2, -1, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 8 = 0. Let r be ((-50)\/f)\/(-4 + 2). Is r != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d + 6. What is the units digit of (-1)\/(d\/(-8)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29290509 divided by -3?\nAnswer: 9763503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 12\/11, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 + 1 - 11*p - 3. Is g(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 226213641 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 times 2?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*f + 31, -2*a - 8 = -3*f + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 12*z - 3. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + b**3 - 3*b**2 - 2*b**3 + b**2 + 0*b**2. Let h be f(1). Let u(n) = -n**2 + n - 2. Let w be u(0). Is w <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 705, 1010?\nAnswer: 1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 > -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 13. Let i be g(-9). Suppose 0 = -m + 2, -i*n - 2*m = -16 - 3. Suppose -3*l - 5*t = -100, -n = 5*l + 3*t - 191. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29815\/12 - 2487. Is l at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345336425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 136*t**2 - 51*t + 60. Let c be o(-31). Round c to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3600 and -203\/596640?\nAnswer: 8949600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:13 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 2:21 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33497681879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122485 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8*y = 28, -3*t - 6805427 + 6805356 = -4*y for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-1131)\/234))\/(-3) + (-797)\/203?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/((-1)\/(-9)). Suppose j*s + s - 32 = 0. Let l = -4 + s. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1405885 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 14*v - 437 = -54*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 3)\/(5\/65). Let q = 10 + o. Sort 4, q, 5 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4383198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 n, and 1 o when four letters picked without replacement from dddddnndofnoowwf.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9846061?\nAnswer: 9846061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a**4 + 2*a**2 + 0 - 1\/105*a**7 + 0*a + 1\/30*a**5 + 0*a**6 + 0*a**3. Factor t(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509068489 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-2 - -3) + 3 - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 772*b - 308 = 0. Calculate b.\nAnswer: 2\/5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b**2 + 9*b - 14 - 18 + 8. What is the tens digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -45 (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 + 2*d - 3. Let g be r(3). Suppose 147 = 3448*t - 3441*t. Calculate the highest common divisor of g and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (7296\/156)\/(-16)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2870 + 4990. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3870*x**2 - 4228*x wrt x?\nAnswer: -7740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321131583 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105 - -103) + ((-92)\/22)\/(-2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3801, -7607, -11413?\nAnswer: -15219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -44?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4. Let w(a) be the first derivative of a**3 - 9*a - 133. Let i = -19 + 10. Give i*k(q) - 4*w(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(3*14\/(-63))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:27 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*r - 25, -5*d = r - d + 4. Suppose -3*i = -x + 9 + 3, r = x - 2*i. Solve -y = 2*f - 2*y - 2, x = -5*f + 2*y + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064 divided by -8?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20206.297 - 20180.296991. Let u = p - 26. Round u to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*v - 18*v + 37*v)*(0 - 3 + 1) + 2*v + 2*v - 2*v)*(-3 - 3 + 5).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + (-36 - -33) + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/12 - 5)*((-23)\/(-5) + 852\/(-1420)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxpc when four letters picked without replacement from {p: 8, x: 2, c: 3, o: 7}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:28 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 + 96 = -37*w - 29 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 806844 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 37868272853*a + 37868272853*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -r + 10, 0 = r - 0*w + 2*w. Let f(m) = -m**3 - 4*m + 1. Let d(h) = h. Calculate r*d(g) + f(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 7 = 39*i - 41*i, 4*x = -4*i - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(114)\/((1*sqrt(30))\/sqrt(5)) + (sqrt(19)*2*3 - sqrt(57)\/(sqrt(6)\/sqrt(2)))) + 4)**2.\nAnswer: -192*sqrt(19) + 10962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2882 and 2882?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i + 283 + 32*i - 20*i in the form u*i + b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012953 to four decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - 0.2. Let r = -0.06 + v. What is the nearest to -1 in r, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 132 = 316 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-182))\/(6\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/16)\/(-5)*1\/3. Let m = 1.97 - -0.03. What is the second biggest value in -8\/7, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4818*b**3 - 4964*b**3 - 3898*b**3.\nAnswer: -13680*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 3*j**2 + 3*j - 4. Let w(m) = -2*m + 32. Let r be w(18). Let i be c(r). Solve i = -p + 3 + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -1\/5*l**5 + 0*l**3 + 5\/2*l**2 - l + 0*l**4 + 0. Find the first derivative of g(u) wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -8*g**3\/11 - 1314*g**2\/11 - 45588*g\/11 + 83846\/11 = 0.\nAnswer: -113, -53, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -591002 + 591029.9987. Let k = 62 - 34. Let f = k - q. Round f to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) 1 (c) -20 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 389, 1419, 3137, 5543, 8637, 12419, 16889?\n\"Answer: 344*y**2 - 2*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04652 + -0.0571. What is s rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7546585 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeeleeelelepeelree. What is prob of sequence ep?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2616506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 196, 172, 116, 22, -116, -304, -548?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 263 - (-4 + 3 + -5). Let d = 617 - u. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61853722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3035)\/3642)\/((-5)\/(-81)))\/((-1)\/2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042*l + 269*l - 149*l - 209*l - 1997*l.\nAnswer: -3128*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 12*g + 15. Let w be y(11). Let n be (-202796)\/w + (-18)\/117. What is n rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -69, 3, 16, -1, 11 in increasing order.\nAnswer: -69, -20, -1, 3, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 800*j + 87*j**2 + 15*j**2 + 500 + 64*j**3 + 4*j**4 - 30*j**2 + 288*j**2.\nAnswer: 4*(j + 1)*(j + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p. Let h(w) be the first derivative of 2*w**3\/3 - 56*w**2 - 405. What is k(h(f))?\nAnswer: -10*f**2 + 560*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2276 (base 10) to base 3.\nAnswer: -10010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13876613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-105))\/(2\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 n when three letters picked without replacement from ndbbdddfbbufttdfbndb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a**12\/a)\/(a**(2\/9)\/(a**(-2)\/a)))**22 assuming a is positive.\nAnswer: a**(1540\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:12 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/32, -2\/27, -10?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose 30 = -4*j + 7*j. What is the greatest common divisor of j and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 22*u = -0*j - 102, 4*u + 138 - 146 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2518.287604 rounded to the nearest ten?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -5 (c) 2 (d) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -866 - -18182\/21. Let d = 62 - 63. Is d >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*r - 64, 2*r - 7 = -4*t + 13. Suppose 0 = -2*b + 5*q + 23, 2*q + 43 = 3*b + 3*q. What is the greatest common divisor of r and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - (-1848)\/(-6195). Which is bigger: h or -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/900 + m**4\/60 + 2*m**3\/45 + 18*m**2. Factor z(g).\nAnswer: -2*(g - 2)*(g + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22760 - 10424073\/458. Calculate the common denominator of a and 71\/6.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 32. Calculate x(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-205)\/(-50) - 4)\/(2\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4000559 is divided by 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 + -8 + -2. Let a = p + 19. What is the remainder when a is divided by 2*5\/4*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 7) to base 4\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -19. Let d be 11\/((6 + -3)\/z). Let r = -15 - d. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 18555.71kg?\nAnswer: 18.55571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 3 - 10 + 7 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**2 + 3. Suppose -k - 5*v = -15, k = -2*k + 2*v - 23. Let a be z(k). What is the greatest common divisor of 29 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/115 and 17\/299.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 3*p + 30. Let m(o) = -o**3 + 11*o**2 - 9*o + 1. Let s be m(p). Let g = s + -6. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3193604 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/42 - 7*o**5\/12 - 5*o**4\/4 - 37*o**2. Suppose b(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*k + 6 = 0, -4*r = -5*k - 2 - 13 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 3*j**5\/20 - 5*j**4\/24 + 7*j**3\/2 + j**2. Is b(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4058569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y + 5 + 30*y + 12 - 55*y + 3*y**2. Let t be s(3). Solve -4*v = v + t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/6*(1 + 1\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuoowruoouuuuoruoo. Give prob of sequence ruu.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*u - 5473 = 146*u - 1603 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(54\/(-12)) - (-328 + -2) is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose l*f + 6 = -f. Which is smaller: -3\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/50869 and -101\/10098088?\nAnswer: 434217784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 8 - 43 = 0. Let w(f) = 1 - 2*f - s - 2 + 3*f. Calculate the remainder when 19 is divided by w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79240.96 millennia?\nAnswer: 792409.6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 + 21147\/47. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2344132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 4*h**2 - 6*h - 1. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (32 - 30 - -5).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46568200?\nAnswer: 2, 5, 7, 29, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) + 4 + 190. Suppose -136 - 108 = 4*s + 3*c, c = 3*s + b. Let f = s - -116. Is 44 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 24. Give h(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7464097 and 0.04.\nAnswer: 7464097.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/15 - (3495\/2796)\/(50\/(-1928))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -481a (base 12) to base 4\nAnswer: -1332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from kakrjkjkkmmjakj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1679\/4 or -0.0622?\nAnswer: -1679\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 + 2*g**2 - 2. Let d(o) = -o**3 - 4*o**3 - 1 - 4 + 3*o**2 + 3. Calculate -2*d(z) + 3*r(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -2*w**3\/5 + 3*w**2\/10 + 3*w\/5 + 16. Factor f(k).\nAnswer: -3*(k - 1)*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 4*sqrt(152)*-4)\/(sqrt(8) + -6*sqrt(48)\/sqrt(6)))**2.\nAnswer: 5491\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578946 divided by -94.\nAnswer: -6159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 5*s - 2*s - 5*s + 26. Let h be (0 - 1)*-1 + -1. Is u(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*a*f**5 + 2*a*f**3 + 68*a - f**5 + 4*f**2 wrt f.\nAnswer: 2580*a*f**2 + 12*a - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3350)\/1876)\/((-10)\/4))\/(15\/(-18)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 7*o - 1 - 4*o + 2*o. Let u be a(1). Determine q, given that -11*q**5 + 7*q**u + 6*q**5 - 2*q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 3*f + 13*g - 9, 6*f + 5*g + 21 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288 - -294. Suppose 0 = v + 2*m - 22 + p, 0 = 5*m + 5. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {l: 5, y: 2, m: 2, t: 3, g: 7, a: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 15 + 0 + 3*j**2 - 10*j**2 + 9*j + 4*j**3 - 5*j**3. Let y be x(-8). What is the tens digit of 2\/y - (-402)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 13*a - 5*l + 563 = 0, 5*l = 3*a - 613. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 65208 - 9234 = 121534. List the prime factors of f.\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 666662 - -1?\nAnswer: 666663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87759783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72724891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 4. Let x = -11 - -15. What is the lowest common multiple of l(8) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 5*i**2 - i + 3. Let o be g(-3). Let n = -51 - o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 741, 409, -71, -699, -1475?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119641\/5 + 23929. Which is the smallest value? (a) 2\/9 (b) -10 (c) -1\/3 (d) -4 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23834390479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 6*l + 8. Let i(o) = -o**3 - 21*o**2 + 3*o + 68. Let z be i(-21). Is 13 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*z - 37*z + 194*z. Solve z = 19*t - 141 + 84 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158151055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 1764, 4190, 7652, 12156, 17708?\nAnswer: 24314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-16))\/((-2)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-1) + (395 - -43) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -205*q + 1752. Solve -3*t - 20 = -6*c + 4*c, -c = -t - q for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:20 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - -2) + -1 + -3. Suppose -4*z + 3*m = -24, m = -z + b*m + 7. Solve z*j + 0 + 8 = -q, 4*q = -5*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 7) to base 16\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11444, 11529, 11614, 11699, 11784, 11869?\n\"Answer: 85*j + 11359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 8\/57, 2\/557?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3527 + (84\/(-24))\/(1\/(-2) + 1) and 3520?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 775 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3\/3 - 47430*p**2 + 848066112*p - 158594748984 = 0?\nAnswer: 189, 35478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89028 and 570?\nAnswer: 8457660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + r**2 - 2*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30153043.\nAnswer: 30153043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*(-912)\/(-760)*-4\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m + 10. Let u be h(3). Let g(p) = 2*p**2 - 33*p + 101. Let j be g(16). Is u at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54425.98us to seconds.\nAnswer: 0.05442598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -44, -50, -58?\n\"Answer: -l**2 - l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/6 + 8\/(-48). Let o be 0 + (-72)\/(a + -1). Solve -7 = 5*w + o, 5*w + 16 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140.9 and -5.\nAnswer: -704.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2\/14)\/(1\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 3*-1)*-1. Suppose 2*z - 2 = -2. Put f, z, 2 in descending order.\nAnswer: 2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let p be (-10)\/(-4)*15\/((-180)\/(-24)). Suppose p*d + 29 - 4 = g. What is the second biggest value in -7, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)\/sqrt(4))*-5 + -1.\nAnswer: -5*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**(-3\/2) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 72\/19?\nAnswer: 72\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.3, -1\/4, -2\/15, 20?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 18*l + 1188 = -398. What is the remainder when 13128 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 146 = -506. Suppose 2*z + 4*c = 18, -8*z - 5*c = -13*z + w. Solve -5*u - 7 = 3*b, -4*b - u = -0*u + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 12\/7, 2\/5, -5 in descending order.\nAnswer: 12\/7, 2\/5, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*k**2 + 24*k**2 + 14 + 25*k**2 - 44 to the form n*k + q + l*k**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:33 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -1\/3, 1.1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 + 120\/55. Let q = 0.41 - 0.01. What is the closest to -1 in 4\/3, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4 - 2*s - 1 - 3. Let b(r) = -r**2. Determine n(b(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185050112*c*f**3 + 32*c*f**2 - 2*c*f + 2*c - 33841 wrt f?\nAnswer: 1110300672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12727 - -63\nAnswer: -12664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - 10*a - 1. Let x be h(3). Suppose p = -x*p + 3336. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 23. Suppose 2 = n*m - 4*p - 4, 4*m - 24 = 2*p. Suppose -m*d - 4 = -25. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*q - 16 = 0, k + 7 + 14 = -5*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58903 to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -32*w - 4424. What is q(-140)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72237, -4, 5, 3, 6, 1, -3 in decreasing order.\nAnswer: 6, 5, 3, 1, -3, -4, -72237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, r: 4}. What is prob of picking 2 r and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y + 11488 = 0, 0 = -q + 21*y - 19*y + 3811. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 25*g**5 + 8735*g**4 + 374440*g**3 + 1183380*g**2 + 414000*g = 0.\nAnswer: -300, -46, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -11. Let n = 1 + l. Calculate the remainder when 61 is divided by 145\/n + (-6)\/(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -7. Let d be (v\/(-15))\/(6\/(-20)). Which is the biggest value? (a) -2\/9 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 45308210?\nAnswer: -45308206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 153. Suppose -5*x + 4 - 9 = 0. Put 3, x, i in ascending order.\nAnswer: i, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -882\/5 (b) -4 (c) -2\/9 (d) 0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.4 + -10.3. Let s = 0.2 - u. Let d = -3 + s. Which is greater: 1.5 or d?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606.75 take away 0.6?\nAnswer: -607.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5099250 by 25.\nAnswer: -203970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266527 (base 16) in base 15?\nAnswer: 34a85d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 9*b**2. Let l be y(9). Suppose l = -m - 28 + 39. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22363717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 3*l - 2. Let b be s(-4). Factor 105*x**2 - 218*x**b - 30*x + 108*x**2 - 45.\nAnswer: -5*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -384.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 51*y + 171. Let h be w(-3). Sort 10, -4, -7, h in decreasing order.\nAnswer: 10, h, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:39 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 6*q + q**2 - 3*q**3 - 9*q to the form p + s*q + f*q**2 + z*q**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 0 + -4 - 25. Sort n, 13, 3 in increasing order.\nAnswer: n, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*2)**2 + (2*sqrt(102))\/sqrt(6) - ((1*sqrt(170))\/sqrt(10) - sqrt(17))*-1.\nAnswer: 2*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 820.7262 months?\nAnswer: 0.06839385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5792*u**2 - 8*u - 28. Let d(z) = -z**2 + 5. Let v(p) = -5*d(p) - m(p). What is the second derivative of v(n) wrt n?\nAnswer: -11574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/15)\/(6\/20). Let n = -3564 - -3475. Let v = w - n. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -13*l**4\/12 - 27*l**2\/2 + 12*l. What is the derivative of x(u) wrt u?\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/12, -59\/4, 5, -38.4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 7*a - 7. Suppose -5*z + 4 = 4*s - 4, -4*s + 8 = -3*z. Let h be s\/(3*6\/(-45)). Let r be u(h). Solve -5*x - 4*w = 0, 4*x - 6*x = r*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-2)*6\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25124 + -25099. Solve 48*d = -w - 167 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4756455158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2664793*t**2 + 497084*t wrt t.\nAnswer: 5329586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - 1450.\nAnswer: -1449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 divided by -227?\nAnswer: 375\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -c7095 (base 14) to base 12\nAnswer: -1b1b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10 - 6*u**2 - 3*u**2 + 2*u + u**3 + 2*u**2 + 2. What is g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (156\/(-12) + 13)\/(0 + 1). Which is the smallest value? (a) u (b) 3 (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 31*w**6\/30 - 47*w**4\/8 + 50*w**2 - 2*w. Find the second derivative of m(h) wrt h.\nAnswer: 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g**2 - 2)*(5*g**2 - 3 + 3).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 805 - 811. What is the remainder when 393 is divided by (175\/(-21) - -1)*k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 + 7*j**2 - 213*j wrt j.\nAnswer: 40*j**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 - f**3\/3 + 7*f**2 - f. Let g = 31 - 25. What is the remainder when d(g) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 1118 = 1467. What is the remainder when 381 is divided by i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*1 + (-2 + (2*sqrt(11) - sqrt(11)) - sqrt(11)) + 5)**2 + (sqrt(539) + (2*sqrt(539) - sqrt(539)) + sqrt(132)\/sqrt(108))**2.\nAnswer: 4*sqrt(11) + 20474\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 6*z - 5. Let x be c(-4). What is the closest to 3 in -1\/2, 6\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5614 - 5233. Calculate the remainder when d is divided by 152.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012145 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - q + 2, -4*q - 6 = -2*v - 3*v. Let y be v\/(-7) - (-4556)\/28. What is y rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2643, 5059, 7475?\n\"Answer: 2416*q + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 498982 = -496432 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*l - 16*l = -278*l + 47*l + 25347 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 10:03 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a - 1. Let h be (-2)\/6*(-27)\/3. Suppose 49 + 44 = h*q. What is the remainder when q is divided by p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (3 - (14 - 25) - 87)) + 21.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2110 - -1610. Let y = x - 1519. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**3 + n**2 - 2*n - 2. What is m(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -365\/897, 3, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-20))\/((-2)\/(-20)). Suppose -t*s + 6 = -6. Determine y so that 1\/2*y**s + 0*y**2 + 0*y**4 + 0 - 1\/4*y - 1\/4*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1600.7.\nAnswer: 8003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2166012\/1985 > -1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k + 94*k**2 + k**3 + 53 + 8*k - 84*k**2 in the form o*k + f*k**3 + x*k**2 + t and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16.6. Let h(u) = -3*u + 11. Let f be h(5). Which is the nearest to -1\/3? (a) f (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 28*s - 66. Suppose 79*r = 76*r + 33. What are the prime factors of b(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-816*s**2 + 268*s**4 + 816*s**2)*(3*s - 2 + 2).\nAnswer: 804*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105*1*(3\/35)\/(51\/85)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) 2.9 (c) 5542 (d) -2\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3426 = 45*f - 984. Put 3, 2, f in decreasing order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a decade?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/14 and -1\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 32*x - 25*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 984, 5, -2, 8 in ascending order.\nAnswer: -2, 5, 8, 984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) -0.3 (b) 3 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.138613\nAnswer: 3.138613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:50 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328.0000992 - -328. Round a to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 11:29 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -19. Sort 3, n, 4.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209*-0.36328\nAnswer: -75.92552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/2 - 11647*w**4\/3 + 7525893*w**3 + 120734140*w**2\/3 + 15119125*w\/2 - 25155375 = 0.\nAnswer: -5, -1, 2\/3, 3885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**6\/120 - y**5\/30 + y**3\/3 - 2*y. Let a(s) be the second derivative of b(s). Find the second derivative of a(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263.92 minus 4?\nAnswer: -267.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.42? (a) 3\/5 (b) 6 (c) -1 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 3*i**2\/2 + 7*i + 9. Let s = -6 - -12. What is the tens digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 8*z**2 + 10*z + 15. Let u be r(-9). Suppose 32*p - 29*p = -u. Let o(c) = 2*c**2 + c + 2. Determine o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560897739.\nAnswer: 3, 62321971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/82 in -4, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 82, 176, 306, 472, 674?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:30 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1347 + -1339. Suppose -u*w + 16\/5 - 6\/5*w**3 + 28\/5*w**2 = 0. What is w?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -1.1. Let j = -30960 + 30948. What is the nearest to -2\/9 in j, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-71)\/(836\/(-88) + 1\/(-2)) and -33\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 128*v**2 + 967*v + 28. Determine d(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 125.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/((-1)\/(-3)). Which is smaller: -2\/33 or m?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-2*h**2 + 5*h**2 - 2*h**2) + 13*h**2 - 5*h**2 + 4*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/30 - 20*d**2. Let x(i) be the third derivative of -2*i**2 + 0*i**4 + 0 + 0*i**3 + 1\/20*i**5 + 0*i. What is x(b(h))?\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*i**3 + 3*b**2*i**2*u**2 + 3*b**2*i**2*u + b**2*i*u**2 - b*i**4 - 16*i**3*u**2 wrt i.\nAnswer: -12*b**2 - 24*b*i - 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z + 8*z**2 + 6*z - 12*z + 21*z**5 wrt z?\nAnswer: 1260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20530.01g to milligrams.\nAnswer: 20530010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.14992 hours to seconds.\nAnswer: 25739.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, e: 1}. Give prob of picking 1 e and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*39\/(-156)*(82 - 7).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -992*d**3 - 2*d**2*m**2 - 4*m**2 + 52 wrt d.\nAnswer: -2976*d**2 - 4*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1440103131 + 5?\nAnswer: 1440103140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*g + 9 = 0, 1 = 3*f - 4*g + 6*g. Let v = -2 - 1. Sort -2, f, v in ascending order.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276621 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855411243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651.5166418 + 2?\nAnswer: 1653.5166418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 111*c + 4120. What is t(-37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7809 * -39816\nAnswer: -310923144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -4 - (-6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -25.9. What is the closest to -1 in 3, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:34 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 28\nAnswer: -19\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18530751 + 4?\nAnswer: -18530747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)\/x)**(-30\/11)\/(x**7*x**0*x) assuming x is positive.\nAnswer: x**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + 5*(2 + 1 + sqrt(475) + sqrt(475) + 2 + 5 + sqrt(475) + 2 + sqrt(475) + 3))**2.\nAnswer: 15400*sqrt(19) + 195931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 359*o**2 + 4824*o + 2076. Determine g(345).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 41166*t - 41166*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d**2 + d**2 - 2*d**2 - d**3. What is the remainder when 13 is divided by j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010444 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.762 + -0.238. What is the third biggest value in 0.2, d, -5, 51?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddeeeeeeeeeeeeeee. What is prob of picking 2 e and 2 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 3. Let v be f(-10). Does 15 divide 3 + v + 1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12. Suppose v*o + 3*o = 24. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x**4 - 609876*x**3 + 28086990*x**2 - 326367056*x + 55913184 = 0.\nAnswer: 4\/23, 23, 13212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37250859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360778270 divided by 60686?\nAnswer: 5945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 306590797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 9*o**2 + 4. Let l = -366 + 357. Let x be c(l). Solve 0 = 2*i + x*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 467\/(-8) + 6\/4. Let g(c) = 9*c - 3. Let q be g(-6). Let f = q - j. Sort f, 0.1, -0.3.\nAnswer: -0.3, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 n when three letters picked without replacement from {y: 2, m: 2, n: 2, s: 4, o: 2, l: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678466?\nAnswer: 2, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 17 + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-12)*p*p))\/p)\/(p*p\/p**(2\/39)*p*p))**(1\/13) assuming p is positive.\nAnswer: p**(236\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*50\/(-3)*(-96)\/80\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55399*b + 1219311 wrt b.\nAnswer: 55399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411887?\nAnswer: 7, 29, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 11*c**2 - c - 6. Let x be f(-11). Suppose -9 = x*n + 11. List the prime factors of 231\/9 + n\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4536))\/(3*sqrt(2)*-1).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30703 (base 8) to base 10.\nAnswer: -12739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*f**2 + 6757*f**3 - 7*f + 121*f**2 - 358*f**2 - 6 + 0 wrt f.\nAnswer: 40542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:24 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15821 + 32132. List the prime factors of w.\nAnswer: 3, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 577, 759, 525, -149, -1287, -2913?\n\"Answer: -4*f**3 - 184*f**2 + 762*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 529*v**2\/2 - 31571*v\/4 + 136591\/2.\nAnswer: -(v - 7)*(v + 38)*(v + 1027)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 1, e: 1, t: 3, k: 3, s: 2}. Give prob of sequence skhj.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 16*w**2 - 17*w + 9. Let k be u(-17). Suppose 5*s - 3425 = -5*i, 2*i - k*s = -12*s + 1375. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1 - 11\/44)\/((-1)\/(-2)). Let w = 0.7 - 0.8. What is the nearest to d in -1, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.17 + 4.3. Let o = 7.53 - q. What is o rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 36\/17*y**3 + 2\/17*y - 14\/17*y**2 + 16\/17*y**5 + 0 - 40\/17*y**4 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**13\/u)**(-42))**(-17) assuming u is positive.\nAnswer: u**8568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -49*q**2. Let z(r) be the second derivative of -1\/6*r**3 + 1 + 0*r**2 - r. Give h(z(t)).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 367 = 5*o, k = 3*o + 59 + 3. What is the remainder when k is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 + 3*y. Let x be u(-2). Let f = 52255 - 52254. Which is the nearest to 0? (a) x (b) -0.6 (c) -0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3\/7 + 24*w**2 - 1344*w + 255. Determine g so that m(g) = 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*b + 39059 + 9332 = -54549 + 9840 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + k - 11)*(-20*k**2 + 14*k**3 + 20*k**2) to the form g*k + p*k**3 + r*k**4 + y*k**2 + o and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/4*2312\/(-238). What is the highest common divisor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.01.\nAnswer: -5, -1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 4. Let l(c) = -2*c + 40. Let a be l(20). Suppose -4*h - 17 + 5 = a. What is o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6975780 divided by 4885\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/31 in 1, -2\/7, -3, -11\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/4 + 469*v**3\/4 - 18369*v**2 + 967356*v - 949104.\nAnswer: -(v - 156)**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 3407976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/45 + 9\/(-15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -922, -1759, -2542, -3265, -3922?\n\"Answer: a**3 + 21*a**2 - 907*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyg when three letters picked without replacement from {y: 1, g: 5, f: 1, a: 3, j: 3}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-69)\/(2 + 1). Suppose 4*o - 8 = 3*t + 36, t = 3*o - l. Let z = t + 33. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15809*u - 15787*u = 7744. Calculate the greatest common divisor of u and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7200*v + 2822399. What is y(-392)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 - 20*n\/11 - 50\/11.\nAnswer: -2*(n + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3*a + 3. Let z(x) = x**3 + 4*x**2 - 5*x - 3. Let w be z(-5). Let l be d(w). Let r = -0.7 - 0.3. What is the biggest value in r, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-4 - 2 + 1)*(-16*m**4 + 5 + 3381*m - 3381*m) to the form j + f*m**4 + a*m**3 + h*m**2 + t*m and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 3*a**2 - 169*a + 672. Give y(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676963 and 3187226?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 786740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368207149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 24*r = -6*r + 544 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3735 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8 + 8323*g - 4162*g - 4168*g. Let v(m) = m. Calculate v(z(d)).\nAnswer: -7*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11512743 by -1046613.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-67)\/(-23) + (-234)\/(-2691). Let r(d) = d**2 - 2*d + 1. Let y(p) = -2*p**2 + 4*p - 2. Give t*y(a) + 5*r(a).\nAnswer: -a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f - 44. Let q(b) = -b**2 - b + 1. Let t(x) = -m(x) - q(x). Let l be t(0). Are 41 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*n = 2 + 8, 3*k = n + 2. Sort 0, 1, -66, k in increasing order.\nAnswer: -66, 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 - 77854733914.\nAnswer: -77854733913.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 2. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512.5708 decades to millennia.\nAnswer: 5.125708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1923466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkpkbkkbkxkbkxkg. What is prob of picking 1 x and 1 b?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/6355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, -98, -4.7, -2\/11?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4073 - -42?\nAnswer: 4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10896 * 12.\nAnswer: -130752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77848\/319 or -245?\nAnswer: -77848\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 1 + sqrt(2) + -5 + (sqrt(72) + (sqrt(72) - (sqrt(72) + -1)) + 3 - (sqrt(72) + -2*sqrt(72) + -4)))**2.\nAnswer: 182*sqrt(2) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2 + 1060749070*o + 56259429475293245 = 0. Calculate o.\nAnswer: -106074907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 13*i**2 + 330*i - 2*i**3 + 79*i - 11*i**2 + 31*i.\nAnswer: -2*i**3 + 2*i**2 + 440*i + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -10\/22839 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23652 = -39*u + 21*u. 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 the units digit of 94345896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40*(-1)\/(-6))\/(1\/6). Let v = 63 - y. Suppose -4*i + 48 = h - 3, -18 = -2*i + 2*h. Calculate the remainder when v is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l**2 + 5*l - 6. Let d be f(3). Suppose 8*r = 11*r - d. Suppose x - r = -4*x. Put -4, -1, x in increasing order.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c. Let a(m) = 42*m + 12. Calculate y(a(w)).\nAnswer: -126*w - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28419950 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 6*x**2 + 7*x + 2. Let s be k(-4). List the prime factors of (s - -229)*1*2\/5.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(30)\/sqrt(3)*-2) + -5 + ((2*(1 + sqrt(80) - sqrt(80)) + sqrt(80))*5)**2.\nAnswer: 799*sqrt(5)\/2 + 2095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.0563 + 0.0265. Let r = s + 0.0298. Which is the closest to r? (a) 1 (b) 3 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 9. Suppose 5*o + 16 = o. Let w be o\/(-1) - (2 - 1). What is the highest common divisor of w and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 38*m**2 + 524*m - 441. Is b(-115) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvjjqdvhjdqdvk. Give prob of sequence jv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 459.\nAnswer: 8\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -392*z**5 - 392*z**5 + 759*z**5 + (0*z**5 - 2*z**5 + 0*z**5)*(4 + 2 - 2).\nAnswer: -33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 30. Suppose -g = -2*g + o. Let d(n) = 6*n**2 + n. What is the smallest common multiple of g and d(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -4*d**2 - 3. Let z(j) be the first derivative of -j**2\/2 + 6. Give c(z(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -132469003.8 to the nearest one hundred thousand.\nAnswer: -132500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296 + -193. What is the remainder when t is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4950 - 4949.999893098. What is w rounded to 6 dps?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 28. Suppose 83*z - 4 + 10 = 6. Give v(z).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 6904*h\/13 + 5958152\/13.\nAnswer: 2*(h - 1726)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose 0 = -b*f + 5*f + 3*c - 67, 3*f = 5*c + 110. Suppose 2*r - f = -11. What are 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 -0.000001875 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 14, -18\/7, 4\/7, -3300, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.5. Let z = 7 - 6.9. What is the second smallest value in z, m, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1427535, -1427533, -1427531, -1427529, -1427527?\nAnswer: -1427525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81.0004l?\nAnswer: 81000.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-15) - 6) + -7 - -7?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -1 + 6 - (-16 + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 67. Suppose -2*p = -5*p - 2*d + 11841, t*p - 7894 = 2*d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -12, 16, -6, -3, -7 in descending order.\nAnswer: 16, -3, -4, -6, -7, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 13*o. Let y be v(6). Suppose y*f - 96 = -66. Let -2\/9*l**f - 2\/3*l**4 + 2\/3*l**2 - 2\/9*l**3 + 4\/9*l + 0 = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:19 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*z**4 + (-2*z**3 + 4*z**2 - 4*z**2)*(-z + 7*z - 4*z) - 11 - z**2 + 22 - 2*z**4 - 14 in the form t*z**3 + b*z**2 + l + g*z**4 + p*z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0218677 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/153455 and 64\/141.\nAnswer: 460365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3708.0010745 + 3708. Round y to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4739568 divided by -14064\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1738766 months to decades.\nAnswer: 0.009782305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41439075, 41439076, 41439077, 41439078?\nAnswer: 41439079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 9:42 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.08551?\nAnswer: 0.34204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26930, -53864, -80798, -107732, -134666, -161600?\nAnswer: -188534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -33, -47, -63, -81, -101?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-21) - (-4)\/(-84))*0. Let o(t) be the first derivative of -2 + i*t**2 + 0*t**3 + 1\/10*t**5 + 0*t**4 + 0*t. Find l such that o(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.18 and 0.4081759.\nAnswer: -0.7718241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*2 + -4 - (sqrt(1216)*-2 + sqrt(1216)))**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - v. Let l(z) = 3*z**3 + 14*z - 6. Let t(p) = b(p) - l(p). What is the first derivative of t(h) wrt h?\nAnswer: -15*h**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936635 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-3)\/243*2. Which is the third biggest value? (a) -1\/149 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (-2*(-4*(-3 + sqrt(325) - sqrt(325)) - sqrt(325)))**2 + (sqrt(325) - (sqrt(325) + -2))*-2 + (3*(1 + sqrt(325) - sqrt(325)))**2.\nAnswer: -480*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, y: 3, b: 1, t: 3, i: 2}. Give prob of sequence yh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.039 take away 72.14?\nAnswer: -69.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 2*w + 6 = -12*q, -2*q = -2*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16753 - -16752. Which is the second biggest value? (a) 0.3 (b) 2\/9 (c) s (d) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - -0.01. Let p = 0.16 - 6.16. Let o = p + 4. What is the third biggest value in 2, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 93*j + 43. Let r be n(14). Let m = r + -936. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/650 - 12300\/(-195).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -153976.2 and -3.\nAnswer: -153979.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3097528?\nAnswer: 2, 7, 55313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 14*x - 4. Let l = 6 + -2. Suppose l*p = 5*n + 38, -2*p + 8 + 12 = -2*n. What are the prime factors of o(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140310 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 11:13 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 124745 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/48170 and -83\/14.\nAnswer: 337190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 2*u**2 - 2 - u**2.\nAnswer: -4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4067768982?\nAnswer: 2, 3, 677961497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*o**3 - 8051*o + 1264340?\nAnswer: 42*o**2 - 8051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-849166*n + 10*n**2 - 47 + 849166*n)*(0*n + 0*n - n).\nAnswer: -10*n**3 + 47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g - 367. What is r(8)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v - 255 = 85. What is the remainder when 39 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/4 + 51*g**2\/2 - 105*g\/4 = 0. Calculate g.\nAnswer: -35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*i + 12 = 0, -6*q + 5*i + 40 = -q. Let k(c) = -c**2 + 9*c + 2. Let x be k(q). Solve -4*s + 0*s = -x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 294740?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(7 - (-90)\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.4544031 rounded to zero decimal places?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -55*c + 1. Let k be f(-1). Suppose 2*n - 43 = -2*q - 1, 3*q = 4*n - k. Let h = n + -14. Is h at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.11 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -x + 5*y, 58 = -8*x - 6035*y + 6032*y for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2475938.2 and 1.\nAnswer: -2475938.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than -1190704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, i: 3, g: 5, x: 8}. Give prob of picking 2 x.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337420*j**2 + 674738*j**2 - 337269*j**2.\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -15, -27, -43?\n\"Answer: -2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64600 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/11)*o)\/o**(-13) assuming o is positive.\nAnswer: o**(155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28814?\nAnswer: 2, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2234420829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34568425 divided by 3.\nAnswer: 34568425\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/9 + 35\/117. Suppose v = 5*o + 25, 4*v - 5551*o + 5546*o - 25 = 0. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:28 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(7\/3 - 8\/6). Suppose -4*y + 7*y - 3*w = 492, -l*w - 324 = -2*y. Calculate the greatest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 249, 5\/4, 61\/8?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdpo when four letters picked without replacement from {p: 1, m: 2, b: 2, h: 2, d: 1, o: 5}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s - 7*s + 3 - 1. Is q(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 11) to base 16.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0742 and -1909.\nAnswer: -141.6478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d08 (base 14) in base 4?\nAnswer: 1331230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -350828*j**3 - 4*j**2 - 7*j - 1. Let w be h(-1). Round w to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*x - 31. 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: Let i(k) = 2*k + 70. Let f(d) = 4*d + 0*d - 5*d. Calculate i(f(m)).\nAnswer: -2*m + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39830 = -527*i + 345*i - 387*i for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/2 - 5191*m\/2 - 5193 = 0. Calculate m.\nAnswer: -2, 5193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1765 divided by 353?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r + 16. What is the smallest common multiple of 2 and d(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u - 2. What is the remainder when 55 is divided by y(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -19. Let t(v) = v**2 - v - 3. Let z be t(-3). Let y = b - z. Solve 0 = -y*w + 5 - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -64. Let u(m) = -4*m. Let v be u(-3). Calculate the greatest common divisor of w and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1038 - 1051. Let s = 16.3 + -17. Let d = s + 0.6. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aybyoboaoaocyyyyoy. What is prob of picking 1 b and 1 c?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c = -33*c + 69. Is 24 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = -2*i, 2*d + 2*i - 4 + 0 = 0. Let f = 6 + 7. What is the remainder when f is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -364, -212, 84, 572?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871653843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -1 + -3 - 1. Is (92\/s - 1)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/13 (c) -0.5 (d) 11\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2051 - -0.0309. Let d = -0.764 - j. What is the closest to 0 in 5, d, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 427a57d?\nAnswer: 427a579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -0.01378?\nAnswer: -0.41378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*o + 53772 = 0, -20 = -32*o + 27*o. Suppose 15*x + 1237 = t. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**6\/3240 - p**5\/270 - p**4\/54 + 7*p**3\/6 + 6*p. Let i(d) be the second derivative of z(d). Factor i(w).\nAnswer: -(w + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14665 (b) 1.4 (c) 11\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79553\/20 + 3976. Let r = 40289420567\/1340 - 30066730. Let o = r - 48\/67. Find the common denominator of i and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 435 - 219 + 3*l**3 + 2*l**3 - 219.\nAnswer: l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395311 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 + 3323*l**3 + 3325*l**2 - 3323*l - 3324 = 0. Calculate l.\nAnswer: -1, 1, 3324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 2*x - 2. Let c be h(-2). What are the prime factors of 110\/25 - 6\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/16)\/(2\/224*-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 150310 divided by -4\nAnswer: -75155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162)\/(-15)*180\/27. Suppose -8*k + 4*k = -w. Is k at least as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*u - 76. Suppose -156 = -2*k - u. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6890, -27564, -62020, -110258, -172278?\nAnswer: -248080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*k = 988, 4*p - 23*k + 24*k = 3970. Calculate the greatest common factor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 16*f + 1. Give s(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:30 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42734105 a multiple of 601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 18*g + 111. Calculate n(-5).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 358 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 9. Let g be h(11). Let c = 4 + -8. Put g, c, 5 in ascending order.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 39*p**2 - 116 + 35*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(2083*t**2 + 1899*t - 1899*t) to d + h*t**2 + u*t and give h.\nAnswer: 4166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 0*z)*(2*z + 3 - 3 + (2*z + 5*z - 5*z)*(0 - 2 + 0) + z - 27 + 27).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 32. Suppose 3*r = r + u. Let y = r - 19. Solve -6 = y*j + 3*d + 8, -3*d = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**9\/105840 + m**8\/11760 + 3*m**5\/4 + 3*m**2 - 23. Let j(p) be the third derivative of a(p). Factor j(h).\nAnswer: -4*h**2*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 35*a = -84*a + 954 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 100276.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20) + (sqrt(20) - ((sqrt(220)*-2 - sqrt(220)) + sqrt(220))\/sqrt(11)) + sqrt(20)) + -2)**2.\nAnswer: 120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:11 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 44 - 48 + 4*i**2 + 5*i - 3*i**2. Let w be d(-6). Determine x so that 30*x**3 - 6*x**4 - 9*x**4 + 21 + 15*x - 11*x**w - 19*x**2 - 24 + 3*x**5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 186. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 2, z: 1, w: 4, j: 8}. What is prob of picking 1 z and 1 h?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -i, -3*w = 4*i + 42 - 57 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 + -83. Suppose -3*m + 3*v = -z - 192, 5*m = -v + 583. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2845 - -3137. What is the remainder when 619 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2096.31, -11.2, -5, -4 in ascending order.\nAnswer: -11.2, -5, -4, 2096.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 440?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3905c - 2?\nAnswer: 3905a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/689948227 and 39\/4?\nAnswer: 2759792908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*j - 20, -4*j + 27 - 36 = -s + j - 39 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 8. Let k = x - 0. Let w = k - -5. Which is the closest to 1\/3? (a) 2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 94928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-69)\/15*1. Which is the second biggest value? (a) q (b) -0.3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.208 and 18.4.\nAnswer: 3.8272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 4*j**5 - 4*j**5 + (j**2 + j**2 + 0*j**2)*(3*j**3 - 6*j**3 + j**3) + 79*j**5 + 40*j**5 + 55*j**5.\nAnswer: 172*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-14) + 17\/(-119). Solve -2*y - 11 = z - 0*y, 3*z + y + 18 = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1887*r**3 - 2*r**2 + 2*r + 3. Let q be f(-1). Suppose -18*m - q = -59*m. Calculate the remainder when m is divided by (24\/(-5))\/(3\/(-15)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1930*d + 3292 wrt d.\nAnswer: 1930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 13)\/(2 - 4). Suppose 11 = f*d - d - s, 5*s = -4*d + 3. Solve 0*g + d*g - 2 = 2*l, 3*l + 9 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*((-3 + 1 + 4)*(3*q + 4*q - 6*q) + (-3*q + q + 5*q)*(-3 + 0 + 1)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.46. Which is the fourth biggest value? (a) 2\/5 (b) r (c) -3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44a24 + f97?\nAnswer: 459bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -172\/3?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*b - 1. Does 16 divide b\/4 + (-105)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 250794.\nAnswer: 13\/41799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from qccqqc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/4 - -2 - 2. Suppose -o*r + 0*r = 332. Let h = r - -127. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -161*b**2 + 979. Let n(m) = -54*m**2 - 1. What is 3*n(g) - z(g)?\nAnswer: -g**2 - 982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -0*p + 3*p. Let q = -7 + p. Suppose 0*z - q = -2*z. Solve -j + 2*o = -10, -z*j - 3 = 2*o + 3*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*o - 31*o + 3 + 0*o + 18*o to the form h*o + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 48*q + 182. Let m be h(0). Are 182 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 - 5*q**2 + 3*q + 2. Let f be y(-3). Let s = f - -502. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1769 by -29.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 3405*u + 3402.\nAnswer: 3*(u - 1134)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/105 - 23*z**6\/15 - 29*z**4\/6 + z**3\/3 - 28*z**2 - 4*z. Find the second derivative of h(y) wrt y.\nAnswer: 24*y**2 - 1104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvqktj. Give prob of picking 1 k and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 258566?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*a + 8, -2 + 1 = -w - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2 + 14450935*r + 56617438.\nAnswer: 4*r + 14450935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.124771 rounded to 3 dps?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 1. Let i be (1 + (-4)\/2)*1. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*s + 1 + 9*s**2 - 5*s**2.\nAnswer: 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, c: 4}. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129372133 to the power of 1\/2, to the nearest integer?\nAnswer: 64260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j - 5. Let n(y) = -y**2 + 11*y - 6. Let t be n(10). Let a(p) = 3*p - 4. Suppose 0*q = q + 5. Determine q*a(f) + t*o(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 9123866?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002349075349 to seven dps.\nAnswer: 0.0023491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -1 (c) 15\/2 (d) -0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 315*b + 2229. Determine l(-8).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 18*f**2 - 16*f - 72. Let y be w(19). Is 0.6 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(171) + 1*sqrt(171)*2)\/((sqrt(270)\/(sqrt(40) + sqrt(10)))\/sqrt(3)*-6).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1191, -5, 2, -4, 54, -14 in descending order.\nAnswer: 54, 2, -4, -5, -14, -1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.865 - -35. Round f to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -1411?\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*k - 3*o + 11, 3*k - 27 = -3*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvwv when four letters picked without replacement from aqqqwqvvapqqwvqpv.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4\/7, -472, 4, -2 in increasing order.\nAnswer: -472, -2, -4\/7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20 - 12 + 24 + y**2 + 11*y. Let a be f(-6). Suppose -5*s = -3*m - 11, -s - 5*m - a = -21. Solve -12 = -0*d + s*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*p = 27, 2*x + p - 19 - 2 = 0. Suppose -x*f + 22 = 2*f. Suppose 5*b - 5*u - 50 = 0, 2*b + 3*b - f*u = 38. Solve -3*g + b + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 5.347?\nAnswer: -4.2776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -617 or -620?\nAnswer: -617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (78\/5)\/((-6)\/(-15)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223311130 (base 4) to base 7\nAnswer: -3516506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 72*u - 128 = 0. What is u?\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o - 60*o**3 - 62*o**3 + 136*o - 65*o.\nAnswer: -122*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7 - 9. Suppose -4*a + l = 4*p, -2*p + 5*p = 3*a - 27. Which is greater: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159454169639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/48)\/((-309)\/(-824)). Put p, -34, 18 in increasing order.\nAnswer: -34, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000393531 rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1093 = -3*b, -4*y = 2*b - 744 - 126. Let c = y + -1960\/9. Let s = 1 + -1. What is the closest to 0 in s, c, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132242585, -132242584, -132242583, -132242582, -132242581?\nAnswer: -132242580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + -1 + -5*(0 + sqrt(7)))**2.\nAnswer: 48*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/10)\/(15\/1480). Let f = b + 156. What is the lowest common multiple of f and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -4*(1 + (sqrt(5) - sqrt(5)*2 - sqrt(5)) + 0))**2.\nAnswer: -1620 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 798840 (base 10) to base 16\nAnswer: c3078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/((-6)\/(-2 + 0)))\/(-2). Suppose 5*k - 187 - 7728 = a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.3243m in centimeters?\nAnswer: 53232.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-f + 2 - 2)*(27 + 9 + 0)*(-2 - 2 + 2) + 0 - 2*f + 0)*(2*f**2 + 3*f**2 - 4*f**2)*(-2 + 2 - 1) as d*f**2 + b*f**3 + s + g*f and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -253*-4\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + f**2 - 14 + 3*f**2.\nAnswer: 4*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172341 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 - 18966064*i + 22481973978256 = 0.\nAnswer: 2370758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1 - (1 + -6))\/1. Solve -2*v + 13 = -3*z, f = 2*v - 4*v - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b06 (base 16) to base 2\nAnswer: 101101100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 13*l**2 + 17*l + 46. Let c be d(-14). What is the common denominator of (-4908)\/1848 + 1*c\/2 and 143\/6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:11 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 8*u + 13*u + 168, 3*u - 432 = -3*d. Calculate the remainder when 448 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 8*p - 3*m, -3 = -p + 3*m. Let q be 146\/(-30) + p + 2\/(-15). Let c be 28\/6 - (q + (-98)\/(-21)). Solve -c*h + 2*h = b - 4, -2*h = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/37, 59, 15, 4\/13?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 9*c**2 - 45*c + 342. Let t be u(8). Solve t*k = 83*k - 333 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1172515 - -4?\nAnswer: 1172520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.2 (c) 231 (d) 5 (e) -30\/31 (f) 0.185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-o - 2*o + 4*o) + 3*o + o - 3*o + (-5 + 5 + 5)*(-o + o - o))*(-5 + 4 + 8).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, -16, -0.2, -1\/2, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + 8*j + 3. Let h = 11 + -5. Let l be z(h). Suppose 5 = -y + l. Solve y = -3*o + 8*o - 5*f, 0 = 5*o - 2*f - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 u when three letters picked without replacement from tvvtttxtvvvvttu.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/4)\/((-2)\/(-8)). Let j = -11 - -15. Suppose -j*n + 44 = -76. What is the highest common factor of w and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2167 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**4 + 76*o**2 - 4. Let g(d) = -d**2 + 1. Let u(f) = 4*g(f) + r(f). What is the third derivative of u(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t + 1. Let j(k) = -k**2 + 5*k - 6. Let i be j(4). What are the prime factors of q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*z = -577*z + 313 - 49 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4490 divided by -5\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let v(u) = -4*u - 3. Let t(i) = 1. Let g(c) = -5*t(c) - v(c). Let d(l) = -1. Let f(h) = 2*d(h) - g(h). Calculate j(f(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 27*z + 57 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6492*v**2 + 6492*v**2 - 126*v**3 + (-2*v**3 + 6*v**3 - 3*v**3)*(-4 - 1 + 1).\nAnswer: -130*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 188*u**2\/7.\nAnswer: 2*u**2*(u + 94)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264999 or -264998?\nAnswer: -264999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10175780*q**2 + 16523057.\nAnswer: 20351560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - 15 - (-1 - -3 - 3). Let p = 3 - 2. Let f = 1.3 - p. What is the third biggest value in -0.02, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = -32. Let b(s) = s**2 + 4*s + 4. What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373533800 rounded to the nearest one million?\nAnswer: 2374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26006463 and 0.1.\nAnswer: 26006463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9409349.\nAnswer: 1187, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/33 (c) -2\/9 (d) 1 (e) 36 (f) -2 (g) 136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:44 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 8.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*f + 1052 = -3*f. Let h(n) = n**2 - 5*n + 2. Calculate the remainder when f is divided by h(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 4*r + 2. Suppose -d - 2*h = 0, -d + 2 = 3*h + 4. Let c be u(d). Solve 4*j + k + 3*k = 0, -4 = -c*j - 4*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = j + 88 + 94, 5*o - 2*j - 901 = 0. Let f be (3\/4)\/((-8)\/(-32)). Suppose -f*d + o = t, 0 = -t + 3*t + 3*d - 343. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77392615 is divided by 5099.\nAnswer: 5092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/16 and 1*(-3 + 268\/16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 844252556 by -211063139.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036 and 1.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/66 + 794\/(-11). Let x be (19 - 20) + (-1975)\/m. Let p = x - 203\/9. Calculate the common denominator of -4 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, h: 2, g: 2, x: 4, r: 4, a: 2}. What is prob of picking 1 r, 2 g, and 1 h?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - j - 10 = -3*j, -4*v = 3*j + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8)\/((n\/(n*n**3))\/n*n))**(-34\/5))**(1\/26) assuming n is positive.\nAnswer: n**(17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13.03. Let i = 13.8 + -8.8. What is the second smallest value in q, i, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 1169 = -25469. Is k a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1717392?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37894667 + -4?\nAnswer: -37894671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -4405\nAnswer: -308.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 12*t + 24. Let p be (-154)\/16 - 96\/256. Determine a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*f - 0*f + 4*b, 0 = 2*f - 5*b - 19. Solve 3*p = -p - 4*h + f, -5*h + 15 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602222.\nAnswer: 2, 3, 267037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x - 22. Let h be m(-17). Let j be 2\/(8\/(-11)) + (-20)\/h. Let g be (j\/(-9))\/(3\/144*4). Solve -g*z + y + 9 = 0, -3*z - y + 8 = -4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, j: 1, z: 1, p: 1}. What is prob of picking 1 k, 1 q, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36122617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36254?\nAnswer: 2, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*z**(-2)*z*z)\/z*z)**(-19)*(z\/z**(11\/7)*z*z)\/(z*z\/(z\/z**(-8\/9))*z) assuming z is positive.\nAnswer: z**(-3571\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3824, -3785, -3726, -3653, -3572, -3489, -3410?\n\"Answer: -o**3 + 16*o**2 - 2*o - 3837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-4)\/(-6). What is the units digit of (2\/5)\/(w\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o - q, -o + 2*q - 10 = -5*o. Suppose 3*i - 5 = -o*i. Is (2 - i) + (-1 - -35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.77? (a) 3 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z - 118 = -343. Solve 20 = -z*u - 3*o, u - 9 = -0*o + 2*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26269, 27291, 28315, 29341, 30369, 31399?\nAnswer: 32431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*5\/(-5))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431145119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 3 - -2) + -114. Let j be (-4)\/(-14) - (-144)\/d. Let w = 0.92 - 0.88. What is the nearest to j in -2\/7, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452233?\nAnswer: 452233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 11*i + 19. Let d be h(-2). Is d < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23314180 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 2*m**2 - 2*m + 1. Let n be q(1). Suppose 0 = -4*h - 2*t + 12, h + 3*t - 6 = -n*h. Solve 0*d + 14 = h*b - 2*d, 2*d + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6564.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 12*c**2 + 20*c.\nAnswer: c*(c - 10)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqbnnnnnnqbnnnnn. Give prob of picking 2 n.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10203?\nAnswer: 3, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*l - 35, 295*t - 4*l = 294*t + 25. Let u(h) be the first derivative of -2*h + t + 0*h**2 + 4\/3*h**3. Calculate u(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5621 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + c + (5 - 3 - 1)*(-2*c + 2*c + 3*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:05 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*d + 18 = 0, d + 1 = 4*r - 3. Suppose -3*t - 6 = -3*l, -3*t - 4 = 5*l + r. Suppose h - 3*p = -1 + 9, -4*p = -5*h - 4. Sort 3, t, h.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-2))\/10*(-36)\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -805, -1302, -1799, -2296?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4662 + -3437. Calculate the greatest common factor of 147 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 + ((-21)\/2)\/((-7)\/3066)?\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 30 = -2*h, 8*h = 4*h. Calculate the common denominator of -101\/102 and (-4 + -1 + -19)*k\/(-99).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -107?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.96 + 0.46. Sort -3, u, 1\/3, 5 in descending order.\nAnswer: 5, 1\/3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 842.55592126 and -0.5.\nAnswer: 842.05592126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12 (b) -1.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + 200 + -127 + -15.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupppppppupppppppppp. What is prob of picking 3 p?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 1, f: 2, a: 2, i: 1}. Give prob of picking 2 f, 1 g, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.836343 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51759*u - 51733*u + 26 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 9\/6)\/(78336\/4590) and -29\/64?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4036962 by 168.\nAnswer: -672827\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7157357 times 52?\nAnswer: -372182564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-12)*i**2*i\/(i*i\/(i\/(i\/i**(-1\/7)))) assuming i is positive.\nAnswer: i**(198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*t**3 - 147*t**3 - 270*t**4 - 189 + 86*t**3 wrt t?\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-10 + 8) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*t - 15, 3*x - 15 + 18 = t. Let k(w) = 4*w**3 - 6*w**2 - 16*w. Let s(m) = -11*m**3 + 17*m**2 + 48*m. What is t*s(f) + 17*k(f)?\nAnswer: 2*f**3 + 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 9*s + 1. Let y be j(-8). Let r = -3 - y. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2177 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -526550?\nAnswer: -526565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.72 + -2.32. Let w = l - -0.04. Let d = 1 - w. Which is the nearest to -2\/7? (a) 3 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -6*x + 55 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 55d4?\nAnswer: 55de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 30, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.56 + 9.56. Let f = 64.8 - 74. Let x = a + f. Sort 1\/6, x, -0.1 in ascending order.\nAnswer: x, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -429, -654, -879?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15000, 15018, 15056, 15120, 15216, 15350?\nAnswer: 15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 + 2. Let g be l(-8). Suppose -g*k + 30 = k. Solve 2*f = -0 + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.72 + 0.18. Let w = 0.914 - d. Let c = w - -13.486. Round c to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 49, 0, -4, -3 in decreasing order.\nAnswer: 49, 0, -3, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219342563 to the nearest integer?\nAnswer: 47110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)\/(-3) - -177. Let k = p - 122. Suppose -4*s - s = -k. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/11)*j\/(j\/((j*j\/(j*j\/(j*j**(-1\/3)*j)))\/j))*j*(j**0*j)**(-39))**(19\/6))**(-2\/53) assuming j is positive.\nAnswer: j**(23180\/5247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004251 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*x + 18*x + 10*x)*(0*x**3 - 3*x**3 + x**3) + (-x**4 + x**4 + x**4)*(0 + 1 - 4).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 29335*g + 1020600.\nAnswer: 5*(g + 35)*(g + 5832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10982 - 6371. What is the remainder when g is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -20\/3, -2, 0.2, -9 in decreasing order.\nAnswer: 0.2, -2, -20\/3, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48387648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4\/5 - 6640*j**3 - 99624*j**2\/5 - 99632*j\/5 - 33212\/5 = 0.\nAnswer: -1, 8303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 27*m - 83*m + 32*m + 31*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.212 - 106.212. Let w = -108 - s. Let v = -0.5 - -0.5. What is the closest to w in -0.1, v, -1\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33131558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 3. Let w(b) = -b**2 - b - 1. Let f(i) = w(i) + y(i). Let c(v) be the first derivative of f(v). Let u(d) = 3*d**2. Determine u(c(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*k + 94, 4*d + 28 = 5*k + 90. Solve d = -a + 5*x, -4*a - 5*x + 14 = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/7 + 9928*m**2\/7 + 108714*m\/7 - 178308 = 0.\nAnswer: -4953, -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98980*o**3*p**3 - 9*o**3*p - 5*o**3 + 1585*o**2*p**3 - 8*o**2*p**2 - 2*o - 6*p**3 + 3*p wrt o?\nAnswer: -593880*p**3 - 54*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105615, -105623, -105629, -105633, -105635, -105635?\n\"Answer: l**2 - 11*l - 105605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 + 26559*y\/4 + 477819\/8.\nAnswer: 3*(y + 9)*(y + 17697)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 289019584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 3*q - 256 = 87*s - 5*q, 4*s + 2*q + 52 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:40 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101877791, -101877795, -101877801, -101877809?\nAnswer: -101877819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*a - 14 = 3*b, 4*a - 2*b - 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 932943 and 56067.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.229 - -0.329. Is -1\/5 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {z: 4, d: 4, j: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0016 and 1.09.\nAnswer: -0.001744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 235*a**2 - 21*a + 4. Let i(m) = -18*m**2. Determine c(i(l)).\nAnswer: 76140*l**4 + 378*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:56 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 3*k + 6*k + 1. Let i be p(3). Do i and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*j**3 - 6*d*j*s**4 - 1837*j**3*s + 626*j**3 + 2 wrt s.\nAnswer: -24*d*j*s**3 - 1837*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a**3 - a**2 + 1. Let o be p(2). Suppose 0 = 4*q, -183*v - 5*q - 340 = -187*v. Let f = o + v. Solve 0 = -n + f*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in -2, 5\/12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 8*w + 3. What is v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 2) to base 6\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 6*i**2 - i - 3. Let c be b(-6). Suppose -c*j = 2*j - 70. Suppose -3*x - 5 - j = 5*o, 0 = -5*x + 5*o + 35. Put x, -4, 0 in decreasing order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -191*v**2. Let j(z) = 64*z**2. Let m(c) = -6*a(c) - 17*j(c). Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -5. Suppose -d + 30 = -2*t, d - 2*t = -5*t + z. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/13 + -2 - (-145753000)\/2600 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 38716747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 76*q**2 + 273*q - 4520. Give a(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38150 and -617.5.\nAnswer: 37532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 6100*n\/3 - 9302500\/3.\nAnswer: -(n - 3050)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -291, -606, -106 in increasing order.\nAnswer: -606, -291, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 17, 31, 47, 65, 85, 107?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -513559957202?\nAnswer: -513559957206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (3 - 2) - -28. Suppose t - 4*z - 4 = -t, 5*t = z + l. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - m = -7*n - 2, 4 = m. Let t be (-119)\/n*(-102)\/119. Calculate the greatest common divisor of t and 374.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -11. Let u be 26 + h - (2 - 1). Suppose -2*r - 4*w = -u, -4*r + 5*w + 31 + 9 = 0. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**3)\/z)*z\/z**(4\/5)*(z*z\/(z*z\/(z\/(z**(-1\/2)\/z))*z))**0)\/((z**1*z)\/z*(z*z**5*z)\/z)**(-37) assuming z is positive.\nAnswer: z**(1316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (49 + -12)*(11 + -6 - -234). What is the highest common divisor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 277334, 2218644, 7487916, 17749130, 34666266, 59903304, 95124224, 141993006?\n\"Answer: 277330*r**3 + r**2 - 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 + 10*d - 10. Let a be i(8). Suppose t - 36 = -a. Calculate the lowest common multiple of t and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -y + 7. Let v = -4 + 13. Let l be ((-4)\/y)\/((-12)\/v). What is the third biggest value in -2, 0.3, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16292.\nAnswer: 2, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3708 is divided by 231.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = -20. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36119, -36774, -38529, -41936, -47547, -55914, -67589, -83124?\nAnswer: -103071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15269 divided by -895.\nAnswer: -15269\/895","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21 = 4*s + 22, -4*h = -s - 127. Let g be (10 - -4)*6\/4. Let x = -10 + g. Calculate the remainder when h is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 8\nAnswer: -105\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6370115 nanograms?\nAnswer: 0.0000000000006370115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/23 in -0.14, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 74 = -4*c, -5*c + g + 61 = -31. Suppose -2197 = -c*l + 2141. What are the prime factors of l?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15649.5 + -15650. What is the fourth biggest value in -50, 0.29, -0.2, w?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(153) + sqrt(17) + ((-1*sqrt(51))\/sqrt(3))**2.\nAnswer: 15 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1336 and 1385.\nAnswer: 1850360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 52*i - 47*i - 10, -4*q = 3*i + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 2*a + 42, 30 = -3*h + 2*a. Let w be 7\/42 + (-418)\/h. Let n = 73 + w. What is n rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Let k(f) = -f**3 - 6*f**2 - i*f + 0*f**3 + 2*f. Let a = 2 - 7. Determine k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*m - 144*m + o + 18 = 0, 3*m + 4*o = -33. Let r = -2 + 3. What is the second biggest value in 0.2, -2\/15, m, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 4*o**2 + 3*o + 3172. What are the prime factors of a(0)?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, -123, -198, -303, -438, -603, -798?\n\"Answer: -15*o**2 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 886, 4221, 10898, 21805, 37830, 59861, 88786?\n\"Answer: 148*b**3 + 783*b**2 - 50*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -145570 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10752 = 46*v - 34*v. Is 32 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/6 - 2*n. Let t(r) = 49*r**2. Let x(s) = 4*s**2. Let h(z) = -3*t(z) + 35*x(z). Calculate h(u(k)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500) - (4 + sqrt(500) + sqrt(500)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*b + 15, -2*q = -3*b + 23 - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 9*l - 23. What is b(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6116 and -59\/88?\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1)*(-6 + 6 - 4*i**3).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 171*s + 167*s + 27, -5*s + 9 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4) + (sqrt(5) - (-1 + sqrt(5)))*5 - (sqrt(5)*-2*2 - sqrt(5) - (sqrt(80) + 1)))**2.\nAnswer: 132*sqrt(5) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*t = -2589 - 4859 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18\/247 + -9826\/741. Find the common denominator of (4*(-79)\/(-20))\/(4\/10) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184221 is divided by 26259?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -644231 <= -644230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727292 divided by 1431823?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1877532, -1877538, -1877544, -1877550, -1877556?\nAnswer: -1877562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 4 - d + 2 - 3*d + 3*d - d + (-4*d - 2*d + 2*d)*(-2 + 3 + 1).\nAnswer: -10*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/3 + 11*k**3\/6 - 8*k**2 - 2*k. Let h(o) = 8*o**2 - 21*o + 31. Let s(p) = 3*h(p) + 5*x(p). Is s(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 4)*(13 - 6*j - 13) - j + 2*j - 2*j)*(-4*j + j**2 + 4*j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1429 (base 10) to base 13\nAnswer: -85c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-238) + 361\/238 + -1. Find r, given that q*r**3 + 0*r + 2\/17*r**2 + 0 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-4\/11)\/a)\/a*a**(-18))**(14\/11) assuming a is positive.\nAnswer: a**(-2982\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = -5*n + 3*n, -21 = -2*y - 3*n. Let l be y*(-6)\/(-8)*-7. What is the units digit of (-1)\/(-2) + l\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 389 - 445. What is the tens digit of t\/(-16)*3884\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**3 + 7*w**3 - 7*w**3 + 0*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 123 = 2*h. Suppose 4*o - 4 = 4*x - 8, -2*o + 6 = h*x. Solve l - o = -w, -4*l + 2*w = -7*l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 0, k - 2*k + 11 = 2*m. Suppose 5*i - 594 = -3*g, 3*g + 409 = m*g - i. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*0.0434559.\nAnswer: 0.02607354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1 - (-36)\/9. Suppose -3*v = -l + 15. Let k be 14\/v*(-3 - -5). Do k and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1637 = 3328. Is n a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3344.5 * 1\nAnswer: 3344.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**8\/336 + 4423*j**7\/210 - 5863*j**5\/30 + j**2 - 118*j + 20. What is the third derivative of k(q) wrt q?\nAnswer: -60*q**2 + 106152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4) + -23 + 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31203 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a946 - 3159?\nAnswer: 7798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 1. Let i be j(0). Let y = 52 - i. Suppose 8*o - 3*o - 3*f - y = 0, 2*o + 5*f - 39 = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4 + 10*o**3 - 16*o**2 + 8*o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -24*n**2 - 7*n - 13*n + 4 - 10*n + 3*n. Let d(x) = 7*x + 4. Let u = 274 + -301. Calculate u*d(a) - 4*o(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 10\/61 (c) -19 (d) 0.11 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1424.728 - -18559\nAnswer: 19983.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 1446*f + 1. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-3))\/((8 - (-25)\/(-3))*-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/9 - 21725*j\/9 + 11460544\/9.\nAnswer: (j - 21184)*(j - 541)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 12. Let k be o(3). Let c = k - -6. Solve 5*w - i = -9, c*w + 1 + 1 = 4*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 4. Suppose 2*z + i = 6*i - 4, 2*i = z. Suppose 0 = -0*t + z*t + 32. Determine p(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 326*i - 246.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/12*1*(-608)\/((-874)\/23).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-2*(-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-40)\/30)*-28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -98\/19 (b) 0.1 (c) -3\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5671373 is divided by 2835620?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.297 - -0.103. Let h = x + -35. What is the closest to 0.1 in 0.3, -5, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/132 and -127\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 4. Let d be z(6). Let h(i) be the first derivative of -24*i**2 + i + 10. Is h(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15711 is divided by 286.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-3) + 6\/9. Suppose 3*r = -3 - q. Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 8*j - 14. Solve -3*h - j*h = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4\/(-18))\/1)\/(17\/(-153)). Solve c*b = 7*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278795\/16 or -17425?\nAnswer: -17425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 8:50 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1125)*1.\nAnswer: 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320 is divided by 1127?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - p + 0*p)*((4 + 0 - 3)*(5*p - 4*p + p) - 4*p + p - 2*p) to the form m*p**2 + w*p + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -3329?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*f + 16 = 0, 5*f = 5*m + 3*f - 1. Let n be (2\/2)\/(m\/(-2)). What is the first derivative of -9 + n - 45*u**3 + 4 + 19*u**3 wrt u?\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3)*g*g\/(g**(-1)*g))\/(g**5*g**(4\/5))*((g**(1\/3)*g)**20)**(-31) assuming g is positive.\nAnswer: g**(-4159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -149, -204, -259, -314?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803826.\nAnswer: 2, 71, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 4*f - 1. Let m be q(-3). Suppose 0 = -l - 46 - m. What is the common denominator of l\/(1 + -17 - 0) and -79\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119511889 divided by 7?\nAnswer: -17073127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, p: 5}. Give prob of sequence qpq.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 4, v: 3}. Give prob of sequence cj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 8\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1415*c**4 + 109 wrt c?\nAnswer: 5660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358960851 divided by 3.\nAnswer: -119653617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + j + 3*j + j**2 - 6*j. Suppose -4*t - 20 = 0, -3*g + 3*t = 2*g - 35. Suppose g*q + 0 = -8. Calculate l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967*x = -971*x + 160. Suppose -3*c = -2*c + 4*u - 18, 17 = c + 3*u. What is the remainder when x is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -46\/5*l**5 + 2*l - 50\/3*l**3 - 20*l**4 + 0*l**2 - 12 - 8\/5*l**6 - 2\/21*l**7. Factor z(a).\nAnswer: -4*a*(a + 1)**2*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6252333 - -5444889?\nAnswer: -807444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2164 and 50\/683.\nAnswer: 1478012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 24*m + 41*m - 63*m. Let p(f) = -2*f**2 - 8*f. Give q(p(r)).\nAnswer: -4*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*k**5*s**3 + 2*k**3*s**3 - 318*k**2*s**3 - s**3 wrt k?\nAnswer: -4860*k**2*s**3 + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 12790884\nAnswer: -5\/12790884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122.4 + 112. Let c = -10.3999906 - v. Round c to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305259 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2023762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 1. Let o(p) = -3*p**3 - 5*p**2 + p - 7. Let n(i) = -o(i) + 2*w(i). Let v = 71 - 35. Calculate the lowest common multiple of v and n(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(1\/2)\/((d*d\/d**(-4)*d)\/((d*d**(-1))\/d*d)) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*j**3 - 154*j**3 - 163*j**3 - 166*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(245) + (-1 + sqrt(245) - sqrt(245)) + 4) + (2 + sqrt(245)*-1)*-5)*1)**2.\nAnswer: 1232*sqrt(5) + 29709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.277 - -0.277. Let r = -0.8 - 0.2. Which is the closest to r? (a) -1 (b) v (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 9*q - 977. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (43 - 19) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = y, 0*t - 5*y = -5*t + 30. Suppose 0 = -t*b - q, -2*q - 1 = -4*b + 9. Solve -v - b = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1388095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12150 and 16650.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20))\/(9\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 380 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(3\/(-24))\/((45\/(-81))\/(-5)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96027*t - 2*z - 48 = -96030*t, -4*t + 5*z + 71 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 18*d**2 - 18*d - 13. Calculate i(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219525, 2439037, 3658549, 4878061?\nAnswer: 6097573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164 + 164. Which is the third smallest value? (a) -1\/3 (b) 0.5 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22071*s**2*y**2 + 2*s**2 + 7899*s*y wrt y.\nAnswer: -44142*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81716985393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-7 - -7) + -7) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maeaaxvmavmcavv. What is prob of sequence mvv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - 269?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 4 - 3 + 18*n + 0*n**2 - n**2. Let s be p(7). Calculate the common denominator of -35\/32 and ((-8)\/((-640)\/(-42)))\/((-18)\/s).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404*i**4 - 2*i - 973.\nAnswer: 1616*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896625827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q + 27 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1093\/114 - 369\/19. Find the common denominator of t and 0 - -2 - (-118)\/(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 15 = -9*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -63\/78487?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*u - 128, 69 + 189 = -2*i + 3*u. Let m be 2\/7 - i\/28. Solve -m*r + 0*r = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 310 = z. Suppose 3*n + 3*k - k - z = 0, 2*n = 2*k + 48. Solve 0 = 5*q - 4*w - n - 18, 14 = q - 2*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.2931 to 1 decimal place.\nAnswer: -44.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155952390.\nAnswer: 2, 3, 5, 11, 17, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4696\/(-186))\/(-4) - (-28 + 34) and -40\/123.\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*s - 2, 3*v = 4*v + 5*s + 13. Let x be 0 + (-6)\/9*3*1. Put v, 8, x in descending order.\nAnswer: 8, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((6 - -2)\/(-2) + -1). What are the prime factors of u\/(-10) - (-3396)\/30?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (3*sqrt(190)*-2 - sqrt(190)) - sqrt(190))\/(sqrt(10) + (6*(sqrt(10) + sqrt(250)) - sqrt(10))))**2.\nAnswer: 931\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-15))\/i)\/i)\/i*i*i\/((i*i\/i**(-3\/4))\/i))\/(i\/i**0)**(-44) assuming i is positive.\nAnswer: i**(229\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -3051ba?\nAnswer: 3051b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13*x + 192 = 0. Suppose -x*l - 9 = -17*l. Let i = 30 - 25. Solve 5*q - l = -5*t + 11, q - 10 = i*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 19 = 3*x, -3*u - 4*x = 4 + 13. Let a be ((-4)\/(-10))\/((-8)\/(-16040)). Let q(r) = 4*r**2 + a - 802. Determine q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*w - 290*w + 192. Let l(j) = -8*j - 27. Calculate l(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96128 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4 - 0. Suppose 5*p + j = 10, -n - 1 = -p + 4*j. Solve p*k - 5*k + 4*w = -4, -5*w - 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374010090 by -74802018.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 11) to base 12\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -3 - (0 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 85. Calculate the smallest common multiple of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289275 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -17 + (1 - -9) - ((-10 - -20) + -86).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61448861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 387253 and 0.79095.\nAnswer: 387253.79095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -66. Suppose -14*y = -o*y - 1365. Let c = -2395 + y. What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -11, -18, -27, -38, -51?\n\"Answer: -k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -35*z + 21 + 59 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1782, -1783, -1784?\n\"Answer: -t - 1781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o. Let a be b(-3). Let s(k) = k**2 - 6*k - 12. Let m be s(a). Let h = m + 35. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m - 3. Let i be d(-3). Let s = -30 - i. Which is the second smallest value? (a) s (b) -0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71 - (-8 + 14 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 3*p**2 - 2*p + 6. Let u(c) = -7*c**3 - 7*c**2 + 4*c - 12. What is -5*q(j) - 2*u(j)?\nAnswer: 4*j**3 - j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.1 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = z - 15, 5*u - 7 = z + 6. Suppose 0 = 5*m - 5*t + 10, 5*m + z = 4*t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u - 4. Let w be t(-5). Let d = 101 - w. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/23092 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-2)\/(-6))\/((-4)\/(-18)). Let t(b) be the first derivative of 31*b**o + 8 + 5 - 17*b**3 - 16*b**3. Let m(h) = -h**2. Determine m(t(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (18 + 18 + -18) - -36.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(1\/11)*q)*q\/(q\/(q\/(q**(-19)\/q*q)))*q*q assuming q is positive.\nAnswer: q**(241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7475 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 4, y: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 7. Suppose -12 = -4*t + 4. Is b(t) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13540542 + -46?\nAnswer: 13540463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-111)\/(-18))\/(6 - (-105)\/(-18)) and 7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 20*b - 48. Let g be c(-17). Solve 20 = 4*z - f, -2*f = -5*z + g*f + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 14*o**2 + o - 9. Let c be g(14). Suppose -12*r - c = -7*r. What is the nearest to r in 5, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30091.6 millilitres in litres?\nAnswer: 30.0916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35766*s**3 - 4952*s + 4952*s.\nAnswer: 35766*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.572 - -6.8.\nAnswer: 12.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 402184427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-390)\/234*6\/(-5). Suppose -13*c = -17*c - a + 2250, g*a = 4*c - 2256. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2906*a + 74 - 115 + 41 to b*a + g and give b.\nAnswer: 2906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50893, 203644, 458223, 814624, 1272841, 1832868, 2494699?\n\"Answer: -t**3 + 50920*t**2 - 2*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*3)\/((-15)\/10). Let k be (-2 - 0 - 1) + f. What is the nearest to -2\/5 in 3, 5, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33180013851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6216.247 + 6216. Let c = 4.4 - 4.17. Let j = c + n. What is j rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -o + 17, 0*i = -3*o - i + 1. Suppose 5*n - 511 = t - 3*t, o*n = t - 251. List the prime factors of t.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 577 + -257. Let h be (2062\/18)\/(4\/3 - 1). Let j = g - h. What is the common denominator of -95\/2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18139523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435074?\nAnswer: 2, 43, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87246746 to the power of 1\/2, to the nearest integer?\nAnswer: 9341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*v + 7, 4*z - 6 = -v - 23. Let r(f) = 3*f**3 - 4*f**2 + 3*f. Let o(s) = 7*s**3 - 7*s**2 + 5*s. What is z*o(i) + 7*r(i)?\nAnswer: -7*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggggygpggy?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1*6\/(2016\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71339976?\nAnswer: 2, 3, 787, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (6 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**36*j*j\/j**24 assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:27 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(832) + -1 - sqrt(832)*-1*-1 - -1*(sqrt(832) + ((sqrt(832) + 0)*5 - sqrt(832)))))**2 + -2.\nAnswer: -768*sqrt(13) + 119822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {d: 2, y: 7, r: 10, g: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-6) + 12 + 463\/(-41) + 0. Which is bigger: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/13 - 200*x\/13 = 0.\nAnswer: -100, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/7 + -5 - -6. What is the least common multiple of (-2 - -17) + l + (1 - 0) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424862 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + (-1)\/(-1))\/((-16)\/44*2717\/(-988))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37359841 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - (-3392)\/336)*6. Let z be (-2)\/(-7) + 0\/(-5 - -10). Find q, given that 2\/7*q**2 + l*q + z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.35812 and -1.\nAnswer: -0.64188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:06 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-10)\/((-13)\/((-1248)\/(-40))) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*d - 348 - 143 = 0, -3*c - 3*d - 300 = 0. Let f = c + 185. Does 59 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82257789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Suppose n*p + 0*p - 270 = 0. Suppose -3*u - 3 + p = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a)**(-2\/13)\/((a*a*((a**17*a)\/a*a)\/a)\/a*a**(-8\/3)*a) assuming a is positive.\nAnswer: a**(-667\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -646\/11 - -1273\/22. Find the common denominator of 73\/68 and f.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:22 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r - 23 + 23)*((-2 + 1 + 2)*(-4 + 6 - 4) + 1 - 5 + 3) - 2*r + 3*r + r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -61453*c - 1966722. What is p(-32)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-37 + (9 - -9))*(0 - 207) is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 - 189. Let j be (-1)\/5 - 3\/35. What is the smallest value in j, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 460998*v**2. Let g(i) = 7*i**2. Calculate f(g(z)).\nAnswer: 22588902*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1496319675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -627 - 4243?\nAnswer: -5072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjjqqj. Give prob of sequence jqjj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:31 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1079 and 46\/2899.\nAnswer: 240617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/12 and -99\/784928.\nAnswer: 2354784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*q**2*z**2 + a*q**2 - 2*a*q*z**2 + 2*a*z**2 - 8*a with respect to q.\nAnswer: 2*a*q*z**2 + 2*a*q - 2*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00405080065 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*j - 268 + 2156 = 0. Let n(q) = -q**2 + 21*q - 79. What is n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -608229 + 608226.54837. Let u = y - 0.54849. Let n = u - -3. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 56, 5, -0.3, 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55748 + 0.24252. Sort -0.4, -0.93, -1, o, 1 in descending order.\nAnswer: 1, o, -0.4, -0.93, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*1*2\/(-4). Let t = 8 - d. Suppose -8 = -5*n + w, -n - n + 5*w = 6. Solve -t*r - n = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**2 + 67*q - 84. What is c(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/917 (b) -1\/6 (c) 0.1 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002337 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 + 11*q**3 + 5*q**3 + q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 551232 (base 6) in base 9?\nAnswer: 68572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -5, 2, 9, 16, 23?\n\"Answer: 7*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, q: 2}. Give prob of picking 2 f and 2 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*w + 133*w - 522*w + 131*w + 119*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88373.9885957 + -88374. Round o to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.49 - 2.49. Let h = w - 58. Which is the third smallest value? (a) 94 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 29. Let u be o(-13). Let x = -2 - u. Let w = -5 - -7. Which is the nearest to w? (a) -4 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 6*b. Let y(t) = 3*t**3 - 13*t**2 + 5*t + 3. Let x(n) = n**3 - 6*n**2 + 3*n + 2. Let z(m) = b*y(m) - 5*x(m). Give z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112915, -112893, -112825, -112693, -112479, -112165?\nAnswer: -111733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91196*p**3*v - 395763*v wrt p?\nAnswer: 273588*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 0.01302?\nAnswer: -0.14322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*v - 6, 0 = -3*l + 3*v + 7 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196392173.\nAnswer: 41, 4790053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-1230) + 70\/(-525). Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from zhzprhxzgxhh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 94. Let r be (-11)\/m - (7 + -8). What is the closest to 6 in 1, r, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 40 = d, 2*d + 2*d - 32 = -4*i. Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000300 (base 4) to base 2.\nAnswer: -100000000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 34 + 98 = 11*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51747 divided by 6?\nAnswer: 17249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2928563\/819 + 46484\/13. Find the common denominator of 155\/468 and l.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3409, -2273, -11745, -25007?\nAnswer: -42059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181357, 181307, 181257?\nAnswer: 181207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -7415069 in decreasing order.\nAnswer: 9, -3, -7415069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 581*x. Let g(i) = i**2. Determine l(g(a)).\nAnswer: -2*a**4 + 581*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -o - 0 - 13, 13 = 4*o - n. Find the third derivative of -2*g**4 - 10*g**4 + 22*g**o - 12*g**4 - g**4 wrt g.\nAnswer: -600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*w - 39157, -2*w + 22186 + 16972 = -2*m. What are the prime factors of w?\nAnswer: 2, 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 275*s**3 + 2*s**2 - 2. Let r(f) = -f**3 + f**2 - 1. Determine 2*d(p) - 4*r(p).\nAnswer: 554*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1521 - -2134. Suppose r = -7*t + 1747. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4844 - 4840. Solve -48 = -b*d - 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73356917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 415, 441?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7376 rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -49. Let y(g) = g**2 - 10*g - 26. Let z be y(13). What is the highest common factor of z and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k = -3*c - 23*k + 85, -2*c - 2*k = -c + 34 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 34 = -q + 32 - 76, 4*o + 2*q = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*j = 334*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-1 + 30\/35). Let b(f) = 1 + 0*f**2 - f**2 + 160*f**3 - w*f**3. Calculate b(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58890736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77222*i**4 + i**3 - 256579*i - 2 wrt i?\nAnswer: 926664*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*h**2 + 9*h**6 - h**4 + h**4 wrt h?\nAnswer: 1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*h**3 + 94*h + 969*h**3 + 82*h**2 + 1797*h**3 - 89*h**2 wrt h?\nAnswer: 15822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 612 = -16*n. Suppose -4*w + 209 = d - 2*d, -5*w + 4*d = -264. Calculate the remainder when w is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 35*d**2 - 793*d + 137. Calculate g(23).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, -8 in increasing order.\nAnswer: -8, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14840 = 287*q - 301*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (909\/(-15))\/((-2)\/(-86)). Let w = -2618 - u. Suppose 24*l + 94*l = -46*l - 6396. What is the common denominator of w and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j + 175*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 8*d**2 + 3. Let w be o(-8). Suppose -w*f - 123000 = -4*f. Round f to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 53231543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, a: 3, g: 2, y: 1, i: 2, n: 1}. What is prob of picking 2 i and 1 g?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2)\/((-12)\/102*(-51)\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let p(o) = 4555*o**2. Determine u(p(i)).\nAnswer: -41496050*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y - 1 = 0. Let q be 5 + y + -3 - -2*2. Factor -96*c**2 + q*c + 100*c**2 + 4 + c.\nAnswer: 4*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529932 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 45. Let r be (255\/(-68))\/(15\/(-36)). Let y be (-2)\/x*r\/(-1). Which is the third biggest value? (a) -0.3 (b) y (c) -0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 5910235382?\nAnswer: -5910235387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407 - 412. Let o = 30 + 2. Let q = o - 31.7. Which is the third smallest value? (a) -6 (b) k (c) q (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 76799955 = -0*k. Let y = 3 - 0. Suppose -y*g - k = 4*a - 2*a, 2*g + 51199990 = -4*a. Round a to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 58*r**2 - 3. Let b(f) = -65*f**2 + 4. Let t(g) = 3*b(g) + 4*c(g). Let u(n) = -3*n**2. Calculate t(u(s)).\nAnswer: 333*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41*-1426.12\nAnswer: 58470.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-6)\/15 - 2. Suppose y*a + 4*a = 336. Suppose 2*u - a + 10 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 14. Let t be k(-15). Let x = t + 97. Let l = x + -53. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53462238?\nAnswer: 2, 3, 19, 468967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 6*j**2 - j**2 - 4*j**2 + 2*j**2 + 4*j**2 + (0 - 5 + 3)*(-2*j**2 + 0 + 0) + 5*j + 5*j**2 - 5*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272 - -265. Let y be 16\/((-2)\/(-23 + g)). Calculate the highest common divisor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)*r**(2\/7)*((r*r\/((r\/(r*r**(2\/3)\/r))\/r))\/r)**23*(r**(1\/3)*r)**(-1\/6)*r**0\/(r\/(r**(-1\/8)\/r)) assuming r is positive.\nAnswer: r**(91741\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 742 - 1706. Let y = n - 187. Suppose -y = -4*d - d + 3*u, 5*d - 129 = -2*u. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l**3 + 4)*(3*l + 2*l - 4*l) - 2*l**4 - 124*l**2 + 173 + 124*l**2.\nAnswer: -4*l**4 + 173","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let j(b) = -664*b**2 - 2*b - 4. What is j(z(n))?\nAnswer: -5976*n**2 + 6*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 5. Let y(r) = r + 3. Let q(m) = -2*m**3 - 6*m**2 - 2*m - 11. Let g be q(-3). Let u be -12*(-1*54\/12 - g). Determine u*j(f) + 10*y(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 922 - 9277\/10. Let h be 2\/(-10) - (-208)\/(-60). Let i = h - -53\/30. Calculate the common denominator of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8161.74073 to the nearest one hundred.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 13*d**2 - 17*d - 2. Let a be j(-12). Differentiate 39*k**4 + 6*k**2 - a - 44*k**4 - 6*k**2 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + 2. Let l be c(6). Let z = -14 - -15. Sort l, z, 0.\nAnswer: 0, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 10*s - 11. Let f be y(-9). Let x = f - -4. Let o(z) = -6*z**x - 4*z**2 + 0*z**2 + 2*z**2. Let h(p) = -p. Calculate h(o(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*w - 5*k, 5*k + 11 = 9*w - 7*w. Solve i - 10 = w*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24000000 = 26*u + 6*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (14 - 917)*42\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 2*n**2 - 85 + 18.\nAnswer: 2*n**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 431*f**6\/30 - 57*f**2\/2 - 232*f + 1. Differentiate w(m) with respect to m.\nAnswer: 1724*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273 + 276)\/((-1)\/(-8) + 0\/(-2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2540 divided by -3785\nAnswer: -508\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23448 divided by -1?\nAnswer: -23448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Let u be (-17)\/3 + 1\/y. What are the prime factors of (0 + u)\/(3\/(-3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + -1 + sqrt(637))**2*-5 - (1*sqrt(1573)*1)**2*4.\nAnswer: -19037 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -i, i = 5*u - 4*i + 5. Suppose u*h - 38 = h. What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/209 + (-678)\/114\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 21. Let b = 9 + z. List the prime factors of 2*(1*-10)\/b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1002 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/19, 4, 0.097, 2\/5 in ascending order.\nAnswer: -2\/9, -2\/19, 0.097, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2457, -2461, -2471, -2487, -2509?\n\"Answer: -3*n**2 + 5*n - 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/4 - m**3\/2 + 3*m**2. Determine g(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 2141442002?\nAnswer: 2141442021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/((-2310)\/(-40))*14\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 8. Let z(q) = -6*q - 9. Let u(m) = 4*l(m) - 3*z(m). Calculate u(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - 143. Suppose 0 = -m + 1 + 2. Suppose 5*i = m*u - 24, 0 = 3*u + 2*i - 2 - 1. Solve u*x - 2*p - 7 = 15, 0 = 3*p + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r - 87 + 87 to y + z*r and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(3\/1) + (2 - 5). Let x be (2 - 3)*(-2)\/10. Solve 2\/5 - k + 3\/5*k**2 - 1\/5*k**f + x*k**3 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 6 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - 87 - (-28 - 11)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -13 (c) -58\/5 (d) -2\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(1 + 5 - 4)*(-7 + 7 - 5*m)*(-3 - 3 + 2)*(-2 + 1 - 1).\nAnswer: 320*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 18*a - 12. Let s be x(-10). Suppose 4*d + 4132 = s*d. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 820, 1648, 2482, 3322, 4168?\n\"Answer: 3*c**2 + 819*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.344349875 to 4 decimal places.\nAnswer: 0.3443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 31*m - 52. Let x be i(8). Suppose 0 = 4*b + 4*t - 4660, 0 = 2*b - 3*b - x*t + 1165. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4916080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3 + 0 - 22. Let x = v + 10. Let c(r) = -6*r - 11. Is 12 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35098 - -35097.85537. Let i = 0.144 + u. What is i rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 3*c**3 + 15*c**2 + 9*c = 0. Calculate c.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*s - 312*s = 1248 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + m)*(-5*m**3 + 3*m**3 + 3*m**3) - 3*m**4 + 0*m**4 + 2*m**4 + (3 - 3 - 2*m)*(0 + 0 - 2*m**3) to z*m**4 + d*m + u*m**2 + g + x*m**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 6*s + 28, -74 - 80 = -6*q - 5*s - 240 + 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -1920347\nAnswer: -96017.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 - 276755*i**3\/3 + 25530187475*i**2\/2 + 382973569000*i\/3 + 957451220000\/3.\nAnswer: (i - 276760)**2*(i + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - -101. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:59 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/15 - d**4\/24 - d**3\/3 - 1. Let z(v) be the third derivative of h(v). Does 7 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 - -7 - 17\/(-6). Let m = -5458\/3 - -1819. Which is the closest to o? (a) 8 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otm when three letters picked without replacement from tqgogzoggzzzzzm.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.13 (b) 3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:44 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -855474, -855449, -855422, -855393, -855362, -855329, -855294?\n\"Answer: p**2 + 22*p - 855497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - o + 1. Let z(t) = -7*t**2 + 19*t + 50. Suppose 0 = 5*d - w - 6, -7 = -5*d + 3*d + 5*w. Let r(c) = d*z(c) - 5*k(c). Factor r(p).\nAnswer: 3*(p + 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n + 1. Let l(z) = -7*z + 5*z**2 - 2 + 7 + 3*z**2. Let b(a) = -3*f(a) + l(a). Is b(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5, 3*z - 8 = 3*s + 13. Let l(v) = -2*v**3 - 2*v**2 + 2*v + 1. Let x be l(s). Suppose -71 = -x*o + 59. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 20 - 8. What is the lowest common multiple of 4 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 2. Suppose 5*f - 5*p + 25 = 0, 3*p + 2*p = -3*f - 39. Let y be j(f). Let z = y + -3. Solve 4 = z*v - 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = -10*w. Solve w = 13*g - 16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328 and 20.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 8535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3789*z**3 + 72*z**2 - 140*z - 4. What are the prime factors of g(2)?\nAnswer: 2, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p**4\/7 - 101516*p**3\/7 + 300928*p**2 - 8402684*p\/7 + 6397680\/7 = 0. What is p?\nAnswer: 1, 4, 95\/6, 4209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 5)\/((-2)\/(-4)). Sort 3, v, -5, -1 in descending order.\nAnswer: 3, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*z**2 - 155*z**2 + 549*z**2 + 369*z**2 + 3*z**2 + 3*z**2 - 4*z**2 + (z - 3*z + 3*z)*(-4 + 4 + 2*z) to the form l*z**2 + q*z + t and give l.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -3*j - 3*p, -5*j = 2*p + 8. Let n(t) be the second derivative of -4*t**3 + 10*t**2 + 1\/3*t**4 + j - 12*t. Factor n(a).\nAnswer: 4*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 39 = 2*n, -2*n - y = 2*y - 43. Let i be (n\/15)\/(-4)*-15. Determine d, given that 2\/7 + 2\/7*d**4 + 4\/7*d**3 - 4\/7*d**2 - 2\/7*d**i - 2\/7*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + 1 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*s - 225 - 36*s - 239 + 133 - 53*s.\nAnswer: -s - 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2040*f + 819*f**3 - 4 + 48 + 971*f**3 - f**2 - 44 wrt f?\nAnswer: 10740*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -1)\/(1\/(-677)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - -101?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 4*x - 2. Let l = 116 + -40. Let n = -74 + l. Let k(j) = -16*j**2 - 21*j + 10. Calculate n*k(w) + 11*v(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 157. Suppose -4*y + a = -d + 27, -3*a = 2*y - 25. 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: Suppose -6*j = -0*j - 1170. Suppose -2*g + n - 22 + j = 0, 3*g - 256 = -2*n. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 38*x**2 - 113*x - 286. Determine r(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 59.97609 kilometers?\nAnswer: 5997609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13510258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4) - 1\/1. Let l be (20\/(-135))\/((-114)\/(-171)). Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2 + 223269*b + 3125178 = 0.\nAnswer: -74409, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 28*d - 17. Let b(r) = 26*r**2 + 194*r - 120. Let s(o) = -3*b(o) + 20*y(o). Factor s(n).\nAnswer: 2*(n - 10)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w - 30*w - 9*w**2)*(-320*w**2 - 346*w**2 + 178*w**2 - 2*w**3).\nAnswer: 18*w**5 + 4392*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6479, -218 in ascending order.\nAnswer: -218, 2, 6479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x**2 - x - 1. Let r be m(-1). Let h = 2 + r. Is 10 a factor of (-12)\/9*h + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*r**2 - r + 24491 wrt r.\nAnswer: 146*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -824*l**2 + 4925*l + 111. Determine y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4103664 from 1583062.\nAnswer: 5686726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 12 = 0. Let m = -2 - -8. What is the highest common factor of m and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkgkfggkgkggggfg. What is prob of sequence kggf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 7. Let q be (-1)\/(-4) - (-50)\/(-40). Let s = 4 - q. Suppose -y + 0 - s = 0. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -6*w**5 - 260*w**4 + 8014*w**3\/3 - 5080*w**2\/3 + 832*w\/3 = 0.\nAnswer: -52, 0, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023186317 rounded to seven dps?\nAnswer: 0.0023186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85719947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgggfqlqqlgqqqqqll. Give prob of picking 4 l.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/6, 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 7, w: 2, a: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 6. Let m be 13 - 16 - (-1 - 536). Suppose l*i - m = -4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 52959845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/32, -4, -32, -1 in descending order.\nAnswer: -5\/32, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1028*f*j - 3169*f + 1903*j + 640 wrt j?\nAnswer: -1028*f + 1903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19629 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1620*k**3 - 7*k**2 - 6. Let b(o) = 3241*o**3 - 17*o**2 - 14. Give 3*b(t) - 7*y(t).\nAnswer: -1617*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59229 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 49. Put m, -1\/4, 2\/17, 0 in descending order.\nAnswer: m, 2\/17, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11616 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2 = 4*c, 2*f + 44 = -2*c + 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*3 - (sqrt(65) - 1*sqrt(65)*1))\/(3*((sqrt(320)*2 - sqrt(320)) + sqrt(320))*-3).\nAnswer: -sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-4 - 2*q**5 + 4) - 5*q + 2*q**5 + 5*q - 13*q**4 - 271*q**5 + 270*q**5 - 15*q**4.\nAnswer: 5*q**5 - 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-87 + 3)) + -1. Suppose -x = x - g. Suppose -x + 149 = 2*w. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kck when three letters picked without replacement from alkkc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/5 - 214*i**2\/5 + 6131*i\/5 + 249106\/5 = 0.\nAnswer: -22, 67, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4036484?\nAnswer: 20182420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 9*x**2 + 13*x + 42. Let c be j(-8). Let o(a) = -50*a + 7*a**c - 2 + a**3 + 57*a - 1. What is o(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, -410796.\nAnswer: -410796, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/6 - 2*s. Let a be 3\/(-3)*(-4 - -2). Let h(o) = o**a + 3 - 3. Determine u(h(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5317.43 - 5294. Let h = 5.13 + v. Round h to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-3)*2534\/1086.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*-145)\/(-5) + 2. Let v = f - 33. What is the remainder when 96 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-103734)*-113 + (-64)\/126?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-114)\/152)\/(5\/(-2)). Do 71 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(2 + 0 - 3) - 1 - 2 + 5 + 13 - 10 + 11)*(-584 + 584 - 177*i)*(-3 + 3 + 3).\nAnswer: -7434*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*(-759)\/(-46)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736348.\nAnswer: 2, 184087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*o + 26636 = -11699 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c + 3*c)*(1 - 4 - 1)*(c + 2*c - 5*c + (-2*c - c + 4*c)*(1 + 1 - 1)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) - 70\/(-3). Suppose -23*d = -f*d. Suppose -l = q - d*l - 27, -3*l + 56 = 2*q. Solve -5*a = -0*z + 4*z + q, 2*a + 10 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 76\/63) + (-48)\/216. What is the smallest value in 4, d, -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 - 8*t**3\/3 + 11*t**2\/2 + 14*t + 10. Let l be b(6). Solve -3*v = -p - 20 + l, v - 15 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131978352*p**2 - 161882037*p wrt p.\nAnswer: -263956704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*x**3 - 575*x**3 - 1857*x**3 - 1357*x**3 - 2135*x**3.\nAnswer: -6216*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 (base 9) in base 10?\nAnswer: -949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4398*i - 109908. Determine r(25).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 95 = -39*h. List the prime factors of (-5 - (-99)\/45)\/(h\/(-890)).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*c**2 + 2*b**3*c - 3*b**2*c**2 - 13*b*c - 190*c**3 wrt c?\nAnswer: 2*b**3 - 6*b**2 - 1140*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, k: 4, p: 5, q: 1}. Give prob of sequence pppy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4177 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.79 + -6145866120205.\nAnswer: -6145866120205.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*v - 100 - 6, -2*u + 4*v = -76. Let c(m) = -m + 1. Let w(i) = 16*i - 16. What is u*c(b) + 2*w(b)?\nAnswer: -4*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13640 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 166*o - 147*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 2. Let t(j) = j. Let l = 2 - -7. Let u = 10 - l. Let n be (u - 2)*(-5 + 0). What is n*t(w) - b(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/26 and -37\/94550.\nAnswer: 1229150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6911 and 10321.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/42615 and 19\/85230.\nAnswer: 85230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + 49. Suppose -4*z = -5*s - c + 33, -4*z + 2*s + 116 = 0. Suppose r - 12 = z. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let w be 0\/(-2*(-3 + 2)). Let z be v(w). What is the units digit of z + 0\/3 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*l + 5 = -5, 5*l - 12 = 4*h. Suppose -h = 2*a, -2*a - 137 = 2*k + 3*k. Let q be k\/35 - (-5)\/25. Is -1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11205 - 82639. Is (-2)\/5 + y\/(-110) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkzkfzzzfmkmkf. Give prob of sequence kfmf.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - o - 50 = -p, 4*o - 53 = -3*p. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 7. Suppose 0 = 3*g - 2*g - 5. Determine a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -194. Calculate the common denominator of 49\/22 and (-2 + q\/4)*74\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10502 and 1467224.91.\nAnswer: 1456722.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(280)*-1*-5 - sqrt(280))\/sqrt(10))\/(-4*sqrt(8)\/(sqrt(18) + sqrt(2)))*-6 + 1.\nAnswer: 1 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 2173. Let j(m) = 10*m - 6496. Calculate 2*j(s) + 7*p(s).\nAnswer: -s + 2219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -2 + (48 - 51) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 33 = -5*f - 4*z, 4*f - 3*z = 14. Solve f*b = 2*r + 4, -4*r + 0 = -2*b + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4597 + 4587 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 14850 = -4930. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*x**3 - 129*x**3 + 129*x**3 + 158*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(162)*-4 - sqrt(162)) + 0 + -1)**2.\nAnswer: -234*sqrt(2) + 27379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1555, 6045, 13467, 23821, 37107?\n\"Answer: 1466*u**2 + 92*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700 (base 12) to base 14.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/3)*z**(1\/5)*((z*z**(-5))\/z)\/z*z**(8\/9) assuming z is positive.\nAnswer: z**(-101\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400382 and 14?\nAnswer: 9802674","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 6*v**2 + 3*v + 6. Let x be l(5). Let s = 624 - x. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1698 - 1665. Calculate the least common multiple of k and 7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/44*6\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729844447 is divided by 5575?\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/15 and 151\/43782?\nAnswer: 218910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150410?\nAnswer: 2, 3, 5, 31, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 11*n + 28562 - 7*n - 10*n - 28560.\nAnswer: -21*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j. Let i(o) = -208*o**2 + 5011. Calculate i(a(r)).\nAnswer: -1872*r**2 + 5011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/10 + 7*x**4\/24 - 817*x**2. Let w(o) = 4*o. Determine v(w(g)).\nAnswer: -96*g**2 + 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 360*k**2*t*z - k**2*t - 15*k**2*z - 21*k*t*z + 2*k*z - 2*t*z - 118*t - z wrt k?\nAnswer: 720*t*z - 2*t - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*f + 3*x, -9 = 4*f - 3*x - 2. Let z be (-4)\/(-3) + 22\/6. Factor 1\/4*m**z + 1\/4*m**4 - 1\/4*m**f + 0 - 1\/4*m**3 + 0*m.\nAnswer: m**2*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81330.6 from 471.\nAnswer: 81801.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 - -26 - (1 - -1). Let u = 9 + t. Suppose 3*w = -3*m + 108, -w + 3*w + 6 = 0. Calculate the remainder when m is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298 - 416.5. Let q = 119 + w. Let f = 105\/4 - 26. Which is the nearest to f? (a) 0.2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89546505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d. Let b(g) = -17*g + 12. Let l(t) = 2*t - 2. Let w(c) = -b(c) - 6*l(c). What is j(w(n))?\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*d - 90, -3*d + 33 = y - 57. Let r = -24 + d. Solve -b = b - f - r, -6 = 2*b + 2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 89*u**2 - 29*u - 32. Let z be g(30). Which is the second smallest value? (a) -1.1 (b) 0.35 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-16)\/36*(-21)\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/18 and -89\/736150?\nAnswer: 6625350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/120 - i**5\/60 - i**4\/12 + i**3\/6 - 3*i**2. Let n be u(2). Suppose 4*p + 2 = 3*p. What is the closest to 1 in n, 5, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1011010110111?\nAnswer: -1011010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)\/g*g**(8\/7))**(-1\/8)*(g**(-1)*g)**23*((g*g**(-2\/3))\/g)**(-1\/2) assuming g is positive.\nAnswer: g**(445\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 68*h + 240. Let m(r) = -r**3 - 13*r**2 + 28*r - 31. Let n be m(-15). Let z(l) = -l - 4. Let k(s) = n*u(s) + 4*z(s). Factor k(c).\nAnswer: -4*(c - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -128*u**3 - 2*u**2 + 30*u - 29. Give r(1).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(2 + (-14)\/10). Suppose 4*d = -w - 16, 4*w + i*d - 5 = -w. What is the highest common factor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = 5*l - 4, l = -3*f - 3. Let o(q) = -5 + 8*q + l + 7 - q. Calculate the lowest common multiple of o(1) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272774 and 180557576?\nAnswer: 9406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 23.72.\nAnswer: -71.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 a when four letters picked without replacement from bfaflfaaaalfllllaaal?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -16343.56.\nAnswer: 65374.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:29 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 3*l**2. Let d be o(-2). Let x = d + 16. Let k be ((-2)\/x)\/((-6)\/(-15)). Which is the biggest value? (a) k (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p + 1. Let d(v) = 15*v - 20. Let z(w) = 30*w - 34. Let c(g) = -5*d(g) + 3*z(g). What is 2*c(o) + 3*s(o)?\nAnswer: -15*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by (-4 - 2) + 102\/(-15)*-5?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1947900 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(78) + sqrt(78))*4)\/((sqrt(864) - -1*sqrt(864))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 2756049420*c + 379790420274116820.\nAnswer: 5*(c + 275604942)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15105, -30274, -45441, -60606, -75769, -90930, -106089?\nAnswer: -121246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 60 = -7*u. Let w be (-5 + 3)*(-2 - -3). Does 10 divide 3\/w + (-2625)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2. Let p = 6279 - 2055. Let z(x) = -1920*x - 6336. Let i(q) = -q - 3. Let j(w) = p*i(w) - 2*z(w). Determine j(k(o)).\nAnswer: 384*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:43 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 j when four letters picked without replacement from sjrjmsgjsxsg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -22*g + 19*g + 12241, 4*w = -2*g + 8166. What is the highest common factor of 392 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2964*s + 2824. Calculate p(1).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 20 = 4*p - 5*d, 3*p = -4*d - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p - 6210 = -4050 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1426, -2840, -4240, -5626, -6998, -8356?\n\"Answer: 7*k**2 - 1435*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 793825326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*t + r**3 + 64*r**2*t - 1106*r*t + 3*r wrt r.\nAnswer: 12*r*t + 6*r + 128*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929 times 0.3?\nAnswer: 878.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 10 = -4, -5*z + 4 = 2*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let g be (0 - -1)\/(i\/54). Suppose 0 = j + 5*l - 136, 0 = -5*j + l + 509 + 119. What is the highest common factor of g and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 45*q + 2. Let n be i(-45). Solve -4*m - 14 = 5*o, -n*o - 5 = 2*m - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/288*-6*(-2)\/344*-3.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 22 = -o + 5*q, 5*q - 40 = -5*o. What is the second derivative of 11*n - 33*n**o + 33*n**3 + 14*n**5 wrt n?\nAnswer: 280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) 674\/7 (d) 1\/8 (e) 3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 10. Let v(k) = k - 4. Let w(b) = 2*d(b) + 5*v(b). Let z = -3 + 3. Let c(s) = -s + z*s - s. Calculate c(w(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + h**2 + 0*h**2 - 20*h**2 + 13*h**2. Let b(u) = -139*u**2 - 1921 + 3848 - 1927. Give b(i(g)).\nAnswer: -139*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**5*s + 17*d**2*s**2*t**2 + d*s**2*t + 7*d*s*t**2 - 4*t**2 wrt d?\nAnswer: -60*d**3*s + 34*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from uuidedueeudutmiuueum?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12)*6\/(-20))\/(-204*(-268)\/(-1275680)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -428 - -0.01769\nAnswer: -427.98231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + -54.96. Let d = 34 + c. Let n = d - -22. What is the closest to n in -0.5, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 + -11. Let q = h + -165. Which is the smallest value? (a) q (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 111 + 25 + 76 + 10*y. Let n be c(-16). Solve 4*l + 2*p + n = -l, 0 = l - 5*p - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - (-19)\/(-4). Let d = p - -17. Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 19 - -2) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2461*u**3 + u**2 - 1 - 3*u**2 - 2428*u**3 + 2*u. Let q be v(1). Suppose 0 = -4*w + 38 + 90. Calculate the greatest common divisor of w and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d + 1. Let c(a) = a**3 - 9*a**2 + 9*a - 7. Let t be c(8). Is i(t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 k when three letters picked without replacement from {k: 1, r: 3, c: 2, p: 5, e: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 907, 908, 909, 910, 911?\n\"Answer: w + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 + 4*m - 4. Let t be g(-5). Let i be (t\/(-1) - 0)*0. Which is smaller: i or 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 970*t + 5. Let r(a) = 448*a + 2. Let p(d) = 13*r(d) - 6*z(d). Let n(g) = 12*g - 12. Calculate 3*n(u) - 10*p(u).\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = 4*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -29, -58, -99, -152, -217, -294?\n\"Answer: -6*v**2 + v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 16*i = -10*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64670 - 505305 = -25*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -0*g + 2*q, 12 = 3*q. Let x(p) = -p - 1 + g*p - 7 + 1. Determine x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 821, 7493, 26351, 63725, 125945, 219341?\n\"Answer: 1055*z**3 - 237*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 + 8*v**3 + 5*v**3 - 5*v**3.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x, 7*w = 2*w + 2*x + 96. What is the highest common divisor of w and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*f - 353 + 253 = 0, 13*k + 2*f + 35 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:18 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - 39. Let q = -52 - t. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, 489, 2\/9 in ascending order.\nAnswer: -414, 2\/9, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27537)\/67815 - (3\/(-132) - 1\/4). Let f = -2 - -2.4. Sort -2, f, t, -0.3.\nAnswer: -2, -0.3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129107 is divided by 8607.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135268?\nAnswer: 2, 7, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3222 - -25727\/8. What is the common denominator of ((-2)\/(-3))\/(10\/(-18)) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 94\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-3 + 1 + sqrt(76)))*-2 - ((-4 + -1*sqrt(76))**2 - (sqrt(76) + (-1*sqrt(76) + -2 - sqrt(76)))**2))*-5.\nAnswer: 80 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {k: 3, a: 8, n: 2, g: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.211 - -11.21109318. Round k to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 894305314 to the nearest integer?\nAnswer: 29905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - u = 0, -r + 2*u = r. Suppose 5*v + v - 5730 = r. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 3.6\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -0.5, 8\/3, 680, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d - 54. Let s be u(12). Suppose 2*x + 8 = 0, 0 = -v - 4*x + 3*x + s. Suppose 0 = 3*c + 2*m - 28, 2*c - v = 2*m + m. Solve -4*j = -c*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9203 by -3.\nAnswer: 9203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 66. Let x = n - 12.999685. What is x rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 43 = -3*o, -o + q - 13 = 2*q. Let d = o + 17. Suppose -8 = -k + j - d, 3*k + 5*j = 48. Solve -5*n + 3*u = -3 + 10, -n - k = -3*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 365, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 5. Suppose 2*i = -1 - z. Put -1, i, -3 in decreasing order.\nAnswer: -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-5))\/((-536)\/(-1340)). Sort 0, r, -6496.\nAnswer: -6496, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 - -4a3?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486957 and 95016.\nAnswer: 3895656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:56 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 590, 1584, 3066, 5036?\n\"Answer: 244*s**2 - 226*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - 77. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31384612123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1905413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16907*z - 4*z**3 + 33770*z - 16863*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 - 76912352*b - 369719368135744 = 0.\nAnswer: -9614044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/24687417 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 48600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*1*(-3 + 2). Solve 2*b - 4*g = -v*g + 25, 5*b + 5*g - 40 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31368 divided by -8.\nAnswer: 3921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**4 - 5*d**3 + 5*d - 6. Let v(n) = -2*n + n**3 - n + 0*n + 1 + 2*n. Let t(l) = a(l) + 5*v(l). Differentiate t(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.52 + -21.52. Let h be (-2)\/(-3) - (-12)\/9. What is the smallest value in -2, h, x, -14.7?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1081 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-12) - (1 + -1). Suppose 3*c = -c - r + 28, -l*c + 22 = -2*r. Solve 4*b - 21 = f, 6 = 2*f + c*b - 2*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 795671802 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - -4*2380\/(-720)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54 + -12f3?\nAnswer: -129f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -162*g + 3310. Is o(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let p = -6 - -6.2. Let o = -2.93 + -0.07. What is the third biggest value in b, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -38 + 5*f**2 - 1\/4*f**4 + 20*f + 10\/3*f**3. Calculate the remainder when c(7) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21) + 1*sqrt(189))*3)\/((sqrt(3) - (sqrt(735) + sqrt(15))\/sqrt(5)) + 2*sqrt(48)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5394 = -38. Suppose -3*i + d = -139. List the prime factors of i.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/4299 and 103\/270.\nAnswer: 386910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 165*v - 410*v = -98*v - 5109 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*d = d - 1, 3*d = -i - 5. Let q(v) = v - 4. Let p be q(i). Solve 0 = -2*j - h + 5*h - 20, h - 4 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -177117, -177105, -177093, -177081, -177069?\n\"Answer: 12*a - 177129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 1 - 8 + 34*n + (-14 + 21 - 42)*(0*n - n + 2*n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 28 + (-9963)\/(-1431)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5152017 to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050077284.\nAnswer: 2, 11, 809, 113779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.74*-0.08528.\nAnswer: 0.0631072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, -9 in decreasing order.\nAnswer: 4, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8000212 - -0.8. What is n rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*t + 7, 3*y = -2*y + 2*t + 35. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 6 (c) 1 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:07 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 922*x**4 - 387*x**3 - 347151*x?\nAnswer: 11064*x**2 - 2322*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8267355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8618957 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(20))\/(sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(4)*1*-4))*1*5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Suppose 2*g - 10 + 6 = 0. Suppose 4*u - 22 = -g. Let t(h) = -6*h + u*h - 8*h. What is i(t(q))?\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.5, 1, 0.4, -4134\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtm when three letters picked without replacement from tmmmmttmmtmmt?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 4:36 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 1. Let y = l + 5. Let m = -1\/108 - 23\/108. Sort y, m, 5 in descending order.\nAnswer: 5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f + 4. Let m be k(-3). Let p be -3*20\/42 + m. What is the biggest value in 4, -5, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989429*i - 61 = -3*a - 989425*i, -2*i - 68 = -14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let j = 266\/31 - 2332\/279. Is j less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/121662 and 71\/7572.\nAnswer: 153537444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -4, 5, 54 in ascending order.\nAnswer: -12, -4, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 - 69*d**3 - 3*d**2 + 9.\nAnswer: -120*d**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - y + 15 = -2*y, 5*k - 120 = -4*y. Let o(l) = 7*l + 8*l - k*l. Let a(u) = -2*u**2. Give a(o(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4acc - -53?\nAnswer: -4a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t**2*t)**(-2\/117) assuming t is positive.\nAnswer: t**(-46\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20*(2\/5)\/((-8)\/(-865)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*285\/114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 11. Let p = -15\/8 + y. Which is the closest to -0.1? (a) 3 (b) p (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*u + 12, 3*o = o - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 8*x**2 - x - 3. Let c = 36 + -44. Let t be w(c). Solve -t*b + n = -10, 5*b + 3*n + 3 = 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025311 rounded to 6 dps?\nAnswer: -0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 10*n + 5*n = -9*n - 32, -6*g = -2*g + 31*n + 170 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.01, 4328, 4 in descending order.\nAnswer: 4328, 4, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:31 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*v**3 - 102*v + 101*v + v**3 + 2*v**2 as j + y*v + i*v**2 + w*v**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -9, 0, -3.\nAnswer: -13, -9, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvyyvyyyvvyvv. What is prob of sequence yvvv?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = i - h + 184, -2*i + 4*h + 18 = 0. What is the nearest to -2\/7 in 2\/3, -0.06, -3, i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + 8*m - 13*m + 7*m - 2 - m**3 + 2*m**2 in the form z*m**3 + x*m**2 + t + u*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253 or -0.1317?\nAnswer: -0.1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*s**2 - 126*s?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, 60, 1\/6 in decreasing order.\nAnswer: 60, 1\/6, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/60 + 7*j**4\/24 - j**3\/3 - 5*j**2 - 9*j. Give i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 725, 1966, 4599, 9146, 16129?\nAnswer: 26070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50522 is divided by 25146?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-126*272\/6426)\/(68\/6*1)\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -495, -355, 629, 2901, 6905, 13085?\nAnswer: 21885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-874))\/((-16)\/(64\/(-6))).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5 + 383*j**4 - 59214*j**3 - 18906138*j**2 + 2195892909*j + 26358204411 = 0?\nAnswer: -333, -11, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.841271 rounded to two decimal places?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 2?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m*m)**(4\/9)*(m**(-2))**(1\/21) assuming m is positive.\nAnswer: m**(278\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, c: 1, w: 2}. What is prob of picking 1 w and 2 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 276, 848, 1944, 3738, 6404?\nAnswer: 10116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*r - 24 = 0, 11*q - 3*r + 48414 = 48433 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5471*d + 4*c + 3 = -5468*d, 5*c - 40 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14564179\/4 or 3641044?\nAnswer: 3641044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.76 and 25838.4?\nAnswer: 97152.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose x = i*m + 8, 0 = 3*x + x + 4*m - 16. Suppose -2*p = -x*p + 69. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 9 + 12 - z**2)*(-1 + 1 + 2*z**2).\nAnswer: -2*z**4 - 2*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + r + 2\/3*r**3 - 1\/3*r**4 - 1\/2*r**2 - 1\/20*r**5. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*k - 1252 = -1148*k + 1968 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 304. Let x = f - 219. Which is smaller: 2\/411 or x?\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 - (-6)\/(-21). Suppose -y - 15 = -3*l, 2*l - y + 0*y - 9 = 0. Suppose l*m - m + 169975 = 5*r, m + 2*r + 34010 = s. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119715 * -0.3.\nAnswer: 35914.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14485727801 - 109*v**3 + 110*v**3 - 14485727801.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + -5*sqrt(1584) - ((sqrt(1584) + (sqrt(1584) + -2 - sqrt(1584)) + sqrt(1584) - sqrt(1584)) + sqrt(1584) + -3 - sqrt(1584))**2).\nAnswer: -1614 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35 take away 1257.5?\nAnswer: -1255.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2846 and 3173 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1246*z - 759 with respect to z.\nAnswer: -1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**2\/2 - 4*r + 900. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:35 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10.1. Let b = 13 - 4. Let g be (-2)\/b - (-64)\/72. What is the nearest to g in -0.2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.077 + -74.07. Let c = -0.007 + i. Is 78 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 32520\/(-36). Let z = -500 + g. Is z a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - q**2 - 4*q. Suppose 0 = -17*m + 12*m - 20. Let x be m\/(-2) + (-6)\/(10\/(-5)). Let o(w) = -3*w**3 - w**2 - 5*w. Give x*j(k) - 4*o(k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upiu when four letters picked without replacement from {u: 4, i: 1, p: 8}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q - 565 = 0. Suppose r + 5*p = 46 + 64, r - q = -4*p. Suppose -10*d = -5*d - r. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 563714078*t. Let k(z) = 2*z. What is o(k(f))?\nAnswer: 1127428156*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/63382 and -36\/215.\nAnswer: 316910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 8 = -r - 34, 14 = -4*h - 5*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(104))\/((1*sqrt(48))\/sqrt(6)) - (sqrt(468) + 1*sqrt(468) + 0 - (sqrt(468) + 1)*-5)**2.\nAnswer: -22957 - 410*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177788*w - 10231 wrt w.\nAnswer: -177788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4851 - 2858. Suppose h - j = -0*h - 2*v, h + 3*v - 1997 = 0. Suppose 13*d = 18*d - h. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*q + 19, -u - 2*u = 2*q - 1. Let j = -2 - -5. Solve y - q*v = -21, 23 = 4*y + 2*v - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 1350 (c) -0.08 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8475 = 14*a + 157*a - 781 + 1219 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 - 3*t**4\/4 + 3*t**3\/2 - t**2 - 12*t. What is the units digit of m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100950, -201747, -302544, -403341, -504138?\nAnswer: -604935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-258)\/(-168) - 1\/2. Let b = 26\/7 - g. What is the second biggest value in -3\/7, -0.2, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*h**2 - 3 + (3*h**2 - 4*h**2 - 3*h**2)*(0 + 5 + 0)*(5 + 1 - 3) to the form y*h**2 + q*h + u and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 52626 divided by -17542\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -3b10c1?\nAnswer: -3b10ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 + x - 10. Let z(d) = -2*d + 9. Let w be z(8). Let l be f(w). Let a = l + 54. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-7 + 7 + 10*t)*(-17 + 4*t + 17) as v + j*t + f*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 19*l**2 - 26*l - 89. Let h be o(-9). Which is greater: 253\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/12 and (-393)\/180 + (-12)\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*c - 3\/7*c**4 - 2160\/7*c**2 + 42*c**3.\nAnswer: -3*c**2*(c - 90)*(c - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujjjjuuuu. What is prob of sequence juj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-42) - 5834\/(-14). Suppose -q - j = 423. Let c be (4500\/(-7))\/((-6)\/q). What is c rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v**(1\/12)\/v)\/(v*v**2*v)**(1\/93) assuming v is positive.\nAnswer: v**(-1319\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b73 (base 16) in base 7?\nAnswer: 62241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 112*h + 109. Give v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -60078.99 to the nearest one hundred.\nAnswer: -60100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*w - 33380, -5*v = 2*w - 8*v - 33380. Let y = w + -11907. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/483 and -119\/138.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(6\/12)*2. Let t(w) = w - 3. Let q be t(5). What is the first derivative of 3*y**2 - 2*y**h + 3 - 2 + 2*y**q wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548232 or -548198?\nAnswer: -548198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3. Let c(r) = 2*r + 7. Let i(g) = -c(g) - 5*q(g). Determine i(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= 16206\/991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1487.27 - 1480. Let l = -7.6 + v. Round l to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 3158239.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13) + 3 - (4 + -1*sqrt(13))**2.\nAnswer: -26 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239885965*i**5 + 4*i**2 - 7441736*i wrt i.\nAnswer: -14393157900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11*q - 100 = -6*q, 24 = c + 3*q. Calculate the common denominator of 12\/(-64)*4*(-3)\/c and 43\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 2*u + 10, 3*w = 0. Let b = 2 - 8. Let q = 2 + b. Sort 4, u, q.\nAnswer: u, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjyjysyyiysysjyeyy. What is prob of picking 1 i and 1 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2 + 5 = -3*l, 0 = 2*l + 3*y + 2. Let w(f) = -8*f + 2. Let g be w(l). Suppose -2*a + 12 = z, 37 - g = 2*z + 3*a. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/46 and 13\/(-104)*82\/(-92).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.8 - -131. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, a: 5, s: 2, m: 4, f: 1}. Give prob of sequence wmms.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -184*l + 575*l + 6 - 217*l - 183*l. Let a(z) = 10*z - 5. Give -6*a(f) - 5*b(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + 1)*-1 + (-1 + -1 + sqrt(704) - sqrt(704)) - 3*(sqrt(704) - (-2 + sqrt(704) + -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0)\/2 + -2. Suppose 2*v - v = 0. Let t = 6.6 - 6.4. Which is the second biggest value? (a) v (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r*y**3 - 2065*r*y**2 - r*z + 5*y**3*z + 10*z**3 wrt z?\nAnswer: -r + 5*y**3 + 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6*t - t + 41, -2*u = -2*t - 50. What is the remainder when u is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2436 and 0.1.\nAnswer: -0.02436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/7 (b) -5 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*u - 25 = 0, -13 = 4*j + 6*u - 5*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z - 2*r - 25, -2*z - 14*r = -19*r + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*z - 9, 7 = -4*z + 5*i - 8. Solve -j - 2 - 2 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -21. What is the least common multiple of (g - -2)\/((-3)\/(-36)) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/4*(0 + -2 - -4). Put 0.04, k, 0 in ascending order.\nAnswer: k, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12)*(-48)\/294. Let n = -45\/98 + k. Which is the closest to -1\/3? (a) 2\/9 (b) n (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2. Let v(x) = -x**2 + x. Let s(w) = 10*w**2 - 4*w. Let z(b) = -s(b) - 4*v(b). Give g(z(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsasndsdhadndsisi. Give prob of sequence hnsd.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -147, 1723.\nAnswer: -147, -2, 1723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -133250 + -0.02898?\nAnswer: -133250.02898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 270 = -0*z. Suppose -8*v = -13*v + z. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10)*(-60)\/84)\/(1039\/(-160006)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Let s be (3\/r)\/((-6)\/(-16)). What are the prime factors of 22\/s - 2\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643126 (base 10) in base 16?\nAnswer: -9d036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264\/973 + 2\/139. Let x(g) = -g**2 + 8. Let m be x(-3). What is the nearest to m in -0.06, y, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146694314, -146694313, -146694312?\n\"Answer: h - 146694315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 14*a**2 - 14*a + 16. Suppose -z + 4 = -9. Let n be v(z). Solve -p + 5 = 0, -n*t + 2*p = -1 - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 20 = -3*g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -78 + 5*(-6)\/(-10). What is the units digit of 90\/n + (-51)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096533 is divided by 5651?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, o: 3}. What is prob of picking 4 l?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, -6, -238, 2\/11, 3\/4 in increasing order.\nAnswer: -238, -6, 2\/11, 0.26, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -445 (base 8) to base 2\nAnswer: -100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + o. Let w be f(2). Let d = 1 + w. Does 7 divide 2 + -11*((d - 6) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45690 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2198 and 58658026.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12385630 - 5?\nAnswer: 12385624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 13*s**2 + 25*s - 33. Let c be g(11). What are the prime factors of c\/(-2 - -3) + (135 - -13)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78274 + 1680?\nAnswer: 79944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423170.083 rounded to the nearest 10?\nAnswer: 423170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**3 - 12*o**2 + 4*o + 321. Let n(z) = 13*z**3 + 27*z**2 - 9*z - 643. Give 9*c(g) + 4*n(g).\nAnswer: -2*g**3 + 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(891) + -1 + -2*(-1 + sqrt(11)) + -5 + ((sqrt(275) + -1)**2*3 - sqrt(275)).\nAnswer: -28*sqrt(11) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -72, -196, -412, -744, -1216, -1852, -2676?\n\"Answer: -4*k**3 - 10*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjj when four letters picked without replacement from {k: 14, j: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1348\/(-337)*(2\/10)\/(-1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34839 - -1.151.\nAnswer: -34837.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.6 times 182.64?\nAnswer: -19104.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 13*b**4\/24 - 28*b**3\/3 - b**2. Let y be (-1)\/(18\/(-720)) - 18. What is the units digit of o(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/28)\/(-5)*12\/40?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 2180*l - 19622\/9.\nAnswer: 2*(l - 1)*(l + 9811)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1445370 divided by -289074.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v + 26*v - 8*v - 1536 = 1354 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0198033953 rounded to 5 dps?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:45 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x - 1\/2*x**2 - 17. What is h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 957 + -480. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92698016, -92698016, -92698020, -92698028, -92698040, -92698056?\n\"Answer: -2*h**2 + 6*h - 92698020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -18c?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 5 - 39)*(-2*x**4 + 2*x**3 - 2*x**3) - 5*x**4 - x**4 + 2*x**4 as h*x**3 + q*x**4 + b*x + n + y*x**2 and give q.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*j - 17 = -2*j, -4*o - j + 11 = 0. Let x be (2\/(-3))\/((-36)\/(-54)). Put o, 7, x in descending order.\nAnswer: 7, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from xelehelodlldl.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5715 and 4164?\nAnswer: 7932420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 11 = -1. Find the second derivative of -11*h + k*h - h**3 + h**3 - 7*h**3 wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4106957.\nAnswer: 5\/4106957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, 10, -4 in descending order.\nAnswer: 10, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d*d**(-1\/8)\/d*d)\/(d**(-2\/3)*d*d**(-5)))\/((d**1*d*d\/(d*d**(-4\/3)))\/(d**(-2\/15)*d*d**(-5))) assuming d is positive.\nAnswer: d**(-191\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 0.7 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = t - 24. Let b = 81 - t. Let 8*d**2 + 8*d**3 + b*d - 6*d**4 - 39*d = 0. What is d?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -25*z**2 - 215*z - 466. Calculate k(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396 + -356. Let a = 13 + -8. Suppose n = o + a. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5409658034194 - 0.1?\nAnswer: -2.6409658034194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 2. Let s(t) = t. Let b(v) = c(v) + 6*s(v). Suppose 5*j - 6*j - f + 1 = 0, 0 = -3*j + f - 13. Let u(g) = 1. What is j*u(x) - 2*b(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208766 is divided by 40292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105\/9073 - -126077\/81657. Factor -2\/9*z**3 + 56\/9*z - k*z**2 - 40\/9.\nAnswer: -2*(z - 2)*(z - 1)*(z + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183\/247 + -11\/13. Let q be ((-2)\/(-12))\/((-815)\/(-978)). Which is the biggest value? (a) q (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248\/24 - 8) + 20\/(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 5*v**6\/6 - 45*v**5 + 540*v**4 + 8620*v**3\/3 + 480*v**2 - 11520*v + 277. Find w such that z(w) = 0.\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2)\/z)\/z)**50)**(26\/5) assuming z is positive.\nAnswer: z**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239400 is divided by 1151?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(10\/9)*d**(3\/7)\/d*d*d\/(d*d\/(d**9*d)) assuming d is positive.\nAnswer: d**(622\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 + 5\/(35\/63) is divided by (-26)\/(-39)*(-201)\/(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 361 and 10?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (-2*(sqrt(190) - (sqrt(190) + sqrt(190)*2)) + sqrt(190) + sqrt(190))))*4)\/(((sqrt(40) - sqrt(40)*2)*-5)\/sqrt(4)).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 20*c**2 - 8*c - 19. Let h be f(20). List the prime factors of (h - -4)\/(-5)*1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.46808ng in tonnes?\nAnswer: 0.00000000000008746808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 + 27*h**2 - 7*h - 123. List the prime factors of b(12).\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10800000 rounded to the nearest one hundred thousand?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 65 = -f, 3*f + 4*o = 205. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*i**2 + 74*i**2 + 2*i**4 + 5 - 3 + 2*i as a + k*i**4 + u*i**2 + h*i**3 + j*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:59 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 13) in base 5?\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377000 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 87. What is d(24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51387698, -51387697, -51387696, -51387695, -51387694, -51387693?\nAnswer: -51387692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/(152\/(-456)). Suppose -i - i + 23 = 5*m, i - 10 = -2*m. Solve c*p + 10 = t, p + m*t + 10 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15301805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -234*m + 1157. Calculate i(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-6)*2*(-203)\/14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 196 - 158)*(2 - 1 - 4*o - 3).\nAnswer: 208*o + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86610 (base 9) in base 5?\nAnswer: 3313412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2632 and 129344?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-1)\/14)\/(12\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 686687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*a*u - 37*a*y - a + 3*u + 242*y + 10 wrt a?\nAnswer: -36*u - 37*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*n - 81, 2*n = -5*d + 7*n + 265. Let m be (-16)\/d - 97\/(-3). What is the second derivative of -r - 40*r**4 + m*r**4 - 9*r wrt r?\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31202.137 to the nearest ten.\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-8\/5))*d)**(7\/4))**(-42) assuming d is positive.\nAnswer: d**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/4 + 9*r. Let n(u) = 9*u. Give d(n(h)).\nAnswer: 243*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 11*t - 10. Let l be f(-9). Let r = -3 + l. Sort 2\/11, 2, r.\nAnswer: 2\/11, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*v**2 + 44*v**3 - 989*v**2 + 519*v**2 - 79*v**3.\nAnswer: -35*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, -59, -209, -431, -731, -1115, -1589?\n\"Answer: -r**3 - 27*r**2 + 4*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 51259 = -3919. List the prime factors of k.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2276.199925 - -2277.2. Let i = -3 + 2. Let f = t + i. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-189 + 97) - ((7 - 1) + -1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 10) to base 5\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w - 67. Let t be a(-17). Let z = -151 + t. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (10 - 4)) + 4. Solve 0 = -i*f - f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427 - 426 - 19*g**2 + 0*g**3 - 3*g**2 - 4*g**3 to b*g**2 + k + x*g**3 + h*g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 994 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262835348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 plus -4647735107?\nAnswer: -4647735038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 19. List the prime factors of x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 36, 0.4, -65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -223\/60*c**5 + 0*c - 195*c**2 + 17\/8*c**4 + 1 - 1\/6*c**3. What is the second derivative of n(l) wrt l?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:44 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10691 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 4*u**3 - 489*u. Let a(d) = 16*d. Give 7*a(t) - 5*r(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2958)\/3944 + (99\/(-12))\/(-3). Find s such that 3\/2*s - 3\/4*s**f + 6 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11958 and -4553250686.\nAnswer: -4553238728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -49*c**4\/8 - c**3\/6 + 138*c**2 - 2. Let o(n) = n**2 - 6. Determine o(g(t)).\nAnswer: 21609*t**2 + 294*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 + 5*y + 6. Give d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-56)*(-3716)\/46450.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s + r + 1, -3*s - 3*r = -15. Suppose -421 = -p - 417. Find the second derivative of 3*d + 3*d**s + p*d + d - 5*d wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 0.2 (c) -4\/261 (d) 1\/4 (e) -128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8886 divided by -2962?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*t + 9. Let m = 39 + -32. Suppose -378 = -10*h + m*h. Calculate the highest common divisor of t and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l + 24. Let r be g(0). Suppose -2*q + 3*s = -0*q - r, -3*s + 48 = 4*q. Solve -3*a = a - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/8 + b**3 + 175*b**2\/8 - 187*b\/4 = 0?\nAnswer: -11, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 36. Let g = -0.049 - -7.249. Let z = -7 + g. What is the third smallest value in z, 0, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 - 6*w - 5. Let o(b) = -b - 5. Let u be o(0). Let z be d(u). Is 2\/(-4)*z + 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + b - 74, b = 5*b - 16. Let q = l - 16. Let m = q + 33. Solve -t - 2 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 6 - 4 - 9*n + 4 wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128508 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:46 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -35. Let j(g) = -g**3 - 2*g**2 + 3*g + 2. Let d be j(k). Suppose f - 6*b - 10 = -b, -b - 2 = f. Solve f = -a + d - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + 228. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -12. Let d = g - -7. Solve 0 = 3*f + 3*s, d*s = -3 + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, 4\/3, 0.5, 7.27 in descending order.\nAnswer: 7.27, 5, 4\/3, 0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2*106\/(-371)*-26*(-7)\/(-84)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-1*-4 + -4 + sqrt(26)\/(sqrt(36)\/sqrt(2)).\nAnswer: -4 + 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:51 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -108 + (45 - (-27 + -91))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*2*sqrt(32)*-2.\nAnswer: -3 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3665 - 0.0335. What is the closest to 1\/3 in 0.27, -5\/2, 0.5, b?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 1.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 40. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58302)\/430787)\/(((-8)\/(-112))\/((-1)\/3))\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 149?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-8)\/(-24) + (-1)\/(-3)). Suppose c - t + 7 - x = 0, 4 = 3*c + 5*t. Is 28 a factor of 4\/(-4) + (-58)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 3*h. Let o be 3\/4 - 1\/h. Let m = 8 - 5. Which is the nearest to 0? (a) m (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 8 - 2. Let g(v) be the third derivative of -1\/24*v**4 + 2*v**2 + 0*v + 0*v**l + 0 + 1\/60*v**5. Solve g(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9301, 9305, 9311, 9319, 9329?\nAnswer: 9341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)*-1*-3*-3)\/((sqrt(384) - (2*(2*sqrt(384) - sqrt(384)) + sqrt(384)))*-5))**2.\nAnswer: 567\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 1, s: 1, u: 1, l: 1, c: 2}. What is prob of sequence mccl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-2) - 0) + (-2)\/4. Let o(h) = -h**2 - 1. Let g(p) = -6*p**2 + p - 4. What is a*o(s) - g(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 12. Let l(v) = v - 2. Let y(i) = -h(i) + 3*l(i). Suppose 0 = -b + 4 - 9. What is y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3575 + 6798. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*p = 2*t + 340, t - 17 + 2 = 471*p - 467*p for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 112, -28029 in decreasing order.\nAnswer: 112, 2, -28029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071994677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2 + 2*z - 3. Suppose 2*m = -y - y - 4, y = -3*m + 2. Let j be t(y). Let v = j - -237\/4. Is 2 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -21 (b) -14 (c) 0.67 (d) 0.1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-242) + 135\/33. Let r(z) = -3*z**2 - z + 1. Give r(s).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -16. Let r(i) = 2*i + 0*i - 13 + 15 + 0*i. Let p be (-18)\/(-4) + 1\/2. Let w(o) = -4*o - 4. Give p*r(y) + u*w(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 11*x**9\/63 - x**8\/56 - 2231*x**5\/30 - 230*x**2. Find the third derivative of r(l) wrt l.\nAnswer: 10560*l**3 - 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*4)\/(1*sqrt(35)\/sqrt(5)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*q + 1357*q + 25365 - 453*q - 445*q - 25363.\nAnswer: 35*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1769995 divided by 353999\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 288. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -318, -1279, -2892, -5169, -8122, -11763, -16104, -21157?\n\"Answer: -2*u**3 - 314*u**2 - 5*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 137*q. Let z(a) = -a**2 + 575110*a. Calculate z(l(p)).\nAnswer: -18769*p**2 + 78790070*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 less than 0.5911017?\nAnswer: 0.2111017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -755, -2380, -5247, -9362, -14731, -21360?\n\"Answer: -t**3 - 615*t**2 + 227*t - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -89*b**5 + b**2\/2 - 185*b + 981. What is the second derivative of s(o) wrt o?\nAnswer: -5340*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 13*r + 37. Let c be v(9). What is the tens digit of -2*(-1)\/(c\/((-332)\/(-8)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1614 (base 10) to base 9\nAnswer: -2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -395500 rounded to the nearest 1000?\nAnswer: -396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -10) + (93 - 99) + (8 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 75b04 (base 16) to base 9\nAnswer: 814223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13132404 + 2?\nAnswer: -13132402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 18. Let i be u(0). Suppose 2*b + i = 4*r - 3*b, -5*b = 5*r. Let q(g) = -28*g**2 + 644*g. Let a be q(23). Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-917*n - 37*n - 114 + 113)*(-17*n - 6*n**3 + 17*n).\nAnswer: 5724*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 10. Let j(u) = -1. Give -5*j(z) + p(z).\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -826 + 5?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10428?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -5*i - 75 = -85. Suppose 4*h - i*l - 81 = 3*l, -5*h - c*l = -50. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 3*z = 24*z - 2201 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95 + 0.05. Let u = -29.5 + 1.5. Let v = 32 + u. Sort p, -0.1, v in ascending order.\nAnswer: -0.1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/11131 or 1?\nAnswer: -36\/11131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-903)\/(-126) + (-2)\/12. Suppose -2*r = s - 8, s = 5*r - f + 1. Suppose -10 = -2*m - r. Calculate the highest common divisor of m and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*u**1)\/(u**4*u)**(8\/17) assuming u is positive.\nAnswer: u**(-173\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 10*f + 330. Let j(m) = 4*m + 18. Let l be j(12). Calculate the greatest common divisor of l and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y\/(y**(1\/7)*y))*y)*y*y)**(23\/4)\/(y**0*y\/y**(1\/8)*y) assuming y is positive.\nAnswer: y**(-151\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143536, -573967, -1291354, -2295697, -3586996?\n\"Answer: -143478*h**2 + 3*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000396 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41388, 40773, 40144, 39501, 38844?\n\"Answer: -7*p**2 - 594*p + 41989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 9*r + 2. Let q be s(-9). Solve -q*d = -3*p + 4 - 3, 3*d - 3*p = -6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.04467?\nAnswer: 0.54467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577789 divided by -142.\nAnswer: -577789\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/42 - w**6\/8 + 5*w**5\/12 + 5*w**4\/8 - 10*w**3\/3 + 58*w**2. Let b(v) = 0. What is v?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from ypyunyyyypybbppbu?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n - 11. Let s be o(7). Suppose -s*k + 32 = -2*k. Let v = -23 + k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270 + 5615 = 255*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*v**4 - 24 - 154\/3*v**2 + 184\/3*v + 44\/3*v**3 = 0. What is v?\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3, -0.1.\nAnswer: -0.1, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 4 + (-32)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(384\/(-480)*5\/(-5))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 288 - 245. Calculate the remainder when 74 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458312634 divided by 1958601?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 36*m + 56.\nAnswer: 4*(m + 2)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210 - 21010022221?\nAnswer: -21010111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from onkyyyyynyknkyoka?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -4*i + 244. Is 1\/4 + i\/8 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 15 + -81 + (51 - 21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*b - 6, -3*b = -6 - 6. Let p(h) = h - 6. Let r be p(4). Let n be (-8)\/r*9\/(-6). Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*46\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 7 + 2*y + 7\/2*y**2. What is the first derivative of g(r) wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 40818 and 40800 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + b = -16, -b + 5 = -d - 3. Let i = -6 - d. What is the common denominator of (31\/i)\/(12\/(-18)) and -65\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89036.\nAnswer: 2, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69761225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/28 + 8970\/42. Let d = u - 208. Solve -16 + d = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103.25 + -0.25. Let z = 864359 - 864461.9951. Let a = l + z. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8376449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5034 (base 6) to base 5\nAnswer: -13402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43398961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 7, -6 in ascending order.\nAnswer: -47, -6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 306669, 306670, 306671?\n\"Answer: t + 306668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383*m**2 - 292*m**2 + 1301*m**2.\nAnswer: 2392*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 0, 5*x - 5*z + 2*z = -33. Let v(y) = 3*y**2 + 19*y + 9. Let b be v(x). Solve -9*t - b*t + 36 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + -6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*1\/4*2. Suppose -3*f + 2*f + 5 = q. Let i(k) = -2*k + 3. Give i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4*(-1)\/(-2))\/((-731)\/(-34) - 10).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -359\/4. Which is the nearest to 1\/4? (a) -2\/3 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491*k - 2368*k - 643*k to g + p*k and give p.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -3 (c) 5 (d) -3.828 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176219517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12976 + 12976 - 9047*z.\nAnswer: -9047*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 830 + -777. Calculate the remainder when 147 is divided by c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 16*b + 25*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*o - 10 = -5*o, 0 = -y - 3*o + 8. Let z(c) be the first derivative of 1\/2*c**y + 3 + 1\/3*c**3 - 4*c. Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6008 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb606 (base 12) to base 9.\nAnswer: -1355736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(2\/(-2) - 0). Suppose -2*r - 3*g = 2, -2*r + 4*g - a = r. Calculate the remainder when 1\/(3\/72) - r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.3791263 + -296.\nAnswer: -404.3791263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-216)\/(-15))\/2)\/((-726)\/(-1210)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 35.34754\nAnswer: -3.534754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110021100 - -1121001?\nAnswer: -12101200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.07 (b) -1\/5 (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -3, 0.2, 14, -673, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3990530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 10*w - 17*w + 11.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 3 = 3*t. Which is smaller: t or -2\/59?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 3*x - 6. Let i(c) = -4*c**2 - 7*c - 13. Let l(h) = -3*h - 6. Let t be l(-7). Let k = t + -11. Let b = -27 + 18. Give b*j(z) + k*i(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.83 + 0.63. Is p not equal to -0.018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5676*f. Let r(s) = 362*s**2. Calculate j(r(w)).\nAnswer: -2054712*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose -4*d + 25 = 3*i, 2*i + o = -2*d + 17. Let f(z) = -2*z - 1 + i + z. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 852865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -535, -2189, -4959, -8845, -13847, -19965, -27199?\n\"Answer: -558*s**2 + 20*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cnccccccnnnncc.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 341981 plus 23529073?\nAnswer: 23871054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 + b. Let y(t) = -5*t**4 + 17*t**3 - 5*t**2 - 14*t - 10. Let h(q) = 5*k(q) + y(q). Find the second derivative of h(w) wrt w.\nAnswer: -60*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22488.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*i - 4*q, 3*i + 4*q = -0*i - 26. Let z be (-74)\/(-3) + (-2)\/i. Suppose 5*h = 10*h - z. Which is the nearest to -2? (a) -0.01 (b) 2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*z - 0*z + 5, 2*z = -j - 8. Let o(x) be the first derivative of 2 + x - 1\/2*x**j. Calculate o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y. Let p(k) = 3*k**2 + 5*k. Let r(j) = j**2 + j. Let b(i) = p(i) - 5*r(i). Calculate u(b(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 6*t + 7. Let q be j(-5). Let d = -8 - q. Suppose -3*m + 13 + 111 = d*n, n - 5 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 1984, 2793, 3412, 3793, 3888, 3649?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + -14 - 2\/1. What is the closest to 0 in g, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/3 - 4168924*b\/3 + 4344981829444\/3 = 0.\nAnswer: 2084462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120368*a**2 - 2 - 120365*a**2 + 2 + 2*a + 43*a**4 to the form k*a**4 + z + m*a + y*a**3 + q*a**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 14*p + 5. Let f be b(8). Let m = 40 + f. Suppose -g - 3*g + z = -m, 3*g - z - 71 = 0. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11464?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 22*y**2 - 3*y + 20*y**2 in the form j*y + n + p*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/2 + 1663*p**2\/4 + 14032*p + 6912 = 0.\nAnswer: -32, -1\/2, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1226*i**4 - i**3 + 10*i**2 - 2*i - 691882 wrt i.\nAnswer: -4904*i**3 - 3*i**2 + 20*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -11)\/1 + (-4)\/3. Let a = -0.19 - 2.81. Let u be -1 - -7*3\/27. What is the nearest to f in 1\/2, u, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqqonooniooo. Give prob of sequence nn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -376532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 9*f**2 - 7*f - 23. Let g be b(10). Suppose -11*w + 4 = -g*w. Solve 0 = 3*x + w + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 445196?\nAnswer: 445196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28\/33, -1\/4, -3\/7, -0.2, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + 64. Suppose -v = -p - 8. What is the greatest common divisor of 26 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 - 12*o + 133 = 0.\nAnswer: -19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*d - 105 = 0. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 6*u - u. Let i = u + -7. Let f(w) = -6*w + 23*w - 1 - i*w. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 12*p - 6. Let w be o(-11). Suppose 0 = w*z - 43 - 22. Suppose 0 = -2*c - 3 + z. Solve 0 = -3*g - 4*f - 20, 5*f + 22 = -c*g + 4*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000675343 rounded to seven dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -9*n + 29. Factor -5 + 6 - 10*f + 5*f**n + 4.\nAnswer: 5*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - (-101 - -57)) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3178, 0, -2353 in descending order.\nAnswer: 0, -2353, -3178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/4 + 9*n**2 - 31*n. Let x(l) = 1. Determine d(s) - 18*x(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 8*f. Let j be b(-7). Let m = 14 - j. Suppose 0 = -m*y + 8*y + 1. What is the nearest to -0.1 in 2\/11, y, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqo when three letters picked without replacement from qsiaaigo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2561 - 2561 + 370*m as z*m + f and give z.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -29*t + 1. Does 8 divide l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7123613946.\nAnswer: 2, 3, 23689, 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398996*d**3*k**2 - 41*d**3*k + 14*d**3 - d*k - 2*k - 111 wrt k?\nAnswer: 797992*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-11)\/i)*i)**33*((i\/(i*(i\/i**(-12))\/i*i*i))\/i)**23)**(2\/101) assuming i is positive.\nAnswer: i**(234\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/160)\/((7\/(-4))\/7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -536, -1840, -4384, -8582, -14848, -23596, -35240?\nAnswer: -50194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 + -482515157?\nAnswer: -482514965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 22 + -4 + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\/3*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 24*b**2 - 2*b - 4. Let i(p) = p**2. Determine -d(y) + 10*i(y).\nAnswer: -14*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/6*88\/(-55)*-2. Sort 4, 15, w.\nAnswer: w, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-124)\/(-21) - (-24)\/252. Solve -i = -w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100231*k**4 - 2*k**3 + 2*k**2 + 317024*k wrt k?\nAnswer: -1202772*k**2 - 12*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 15*c = -18*c + 32, 5*b - 3*c - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -483*x + 1511. Calculate s(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990948947?\nAnswer: 3, 13, 37, 211, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/3)\/((-2)\/(-6)). Solve 5*x = 2*z - 26, 0 = 5*z - x - t + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 646425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*m*t*w**2 + g**2*m*w - 4700*g**2*t**3*w**2 + g*t**3 + m*t**3*w - 6*m*t*w wrt w.\nAnswer: -2*g**2*m*t - 9400*g**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -191. Let b be (-5)\/p*4\/(-10). Let k be -2*(-2)\/(-8)*(3 - 3). Is b bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 677, 1354, 2031, 2708, 3385, 4062?\n\"Answer: 677*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by -2375823?\nAnswer: 70\/791941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(13824\/(-21568)) + (-70)\/(-5)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 27*p - 44. Let x(a) = -a + 1. Let y(d) = -w(d) + 6*x(d). Let b be y(23). Solve -h - 2*h - 25 = -2*j, -b*h = -4*j + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7394173.28999 - -0.3?\nAnswer: -7394172.98999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -112, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(288) + -2)*-3 + (sqrt(288)*3*-3)**2)*-2.\nAnswer: -46669 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*y - 76*y - 64*y - 57*y - 58*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*m = -1842*m + 23760 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 + 421. Suppose 0 = 2*n - z - 755. Suppose 166 = -0*k + 2*k - 3*f, -5*f = 5*k - n. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 6. Suppose 3*h + 11 = p, 4*p - 14*h + 12*h + 6 = 0. Let j(l) = 14*l - 18. Give p*j(t) - 11*b(t).\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 67.366815.\nAnswer: -20.2100445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-6)\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-13)\/429)\/((-1)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzlz when four letters picked without replacement from qmzlrmsrmmzz.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-2)\/sqrt(11))\/(sqrt(96)*4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*y - 2 = 25 + 13, 2*d - 4*y - 5967 = -5935 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834436 is divided by 11276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 6, h: 2, b: 1, u: 3, d: 1}. What is prob of sequence tht?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 2*k)*(-1 + 1 + 2*k) + 2*k**2 + 0*k**2 - 3*k**2 + 9*k + 8*k**2 - 2*k**2 - 2*k**2 to the form i*k + j*k**2 + t and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 3, v: 2, t: 1, c: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/3 - 35478*m + 1595160 = 0. Calculate m.\nAnswer: 45, 53172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18538*y = 18545*y - 133 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8*p = -6*p + 2, 3*d - p + 15 = 0. Let w(n) = 6*n**2 + 3*n. Let l(y) = -7*y**2 - 4*y. What is d*w(a) - 3*l(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 2)*(-20)\/20. Let y(f) = 7*f - 46. What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {s: 1, y: 6, v: 2, i: 9}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 19}. Give prob of sequence lllz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqtqqqqqqqqtqqqq?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) -0.1 (b) 0.1 (c) 1136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*(180\/(-70))\/(-9). What is the closest to 7\/3 in -3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34470730?\nAnswer: 2, 5, 7, 17, 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 5 (c) -1\/189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let t(l) = 41*l + 5. What is q(t(h))?\nAnswer: 1681*h**2 + 410*h + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/7 - 14*b**4 - 1486*b**3\/7 - 6526*b**2\/7 + 8112*b\/7 = 0.\nAnswer: -24, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*p - 144. What is the units digit of (-5)\/15 - p\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:23 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 1\/3*d**4 - 4*d - 2\/3*d**3 + 0 + 0*d**2 + 1\/5*d**5 - 2\/15*d**6. Factor f(b).\nAnswer: -4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1764*w + 693*w + 4*w**2 + 3*w**4 + 901*w to f*w**3 + i + d*w**4 + s*w + g*w**2 and give s.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f. Let k(n) = 16*n. Let d(g) = -4*k(g) - 22*w(g). Let o(j) = 0 - 4 + 6 + 642*j - 597*j. What is o(d(a))?\nAnswer: 90*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0607718834 to five dps.\nAnswer: -0.06077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342344, -342336, -342326, -342314, -342300, -342284?\nAnswer: -342266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 4*y**2)*(58*y**2 + 4*y**2 - 32*y**2) - 3 + 3 - y**4.\nAnswer: 29*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 276110 = 4*q, 5*q - 261650 = 5*o + 83475. Suppose -2*f - 70970 = q. Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x + 72*x = 0. Solve b + 3 = -x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -224\/39 (b) 0 (c) 1.981 (d) -4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*c + 2079 = 0, -5*u - 5255 = -c + 2*c. Let r be u\/(-15) + 10\/(-75). Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1593 and 14.\nAnswer: 22302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - 0.14. Let z = -21.742 + -0.058. Let i = z - -22. Sort i, w, 7.\nAnswer: w, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57598078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.083507 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10*c**2 + 1 + 8*c**2.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n = 20. Let t(i) be the first derivative of -i**4\/2 + 5*i**3\/3 - 3*i**2\/2 - 7*i + 116. Let l(s) = -s**2 + s + 1. Calculate n*l(d) + t(d).\nAnswer: -2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 3, -16\/11, 2, -616?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2969\/2982 - 67\/142. Let j(l) be the second derivative of 20*l - 3\/14*l**5 - 2\/7*l**2 + 2\/3*l**4 + 0 - n*l**3. Find b, given that j(b) = 0.\nAnswer: -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6411349?\nAnswer: 1\/6411349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 31*t - 93. Let a be l(34). Solve 0 = -2*q - a - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35234407 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6345 + -6341. Let k(a) be the second derivative of -16*a - 2\/35*a**5 + 4\/21*a**3 + 0*a**2 + 2\/105*a**6 - 1\/21*a**r + 0. Find x, given that k(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39712 + 0.4. What is r rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1. Let z(l) = 2*l + 2. What is -3*a(o) - z(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 1003561. Let x(t) = -2*t. What is x(v(i))?\nAnswer: -4*i**2 + 2007122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 15) to base 5.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) - (49 + -30)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17807 + -17807.000010154. What is g rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + 38\/3. Let q(d) = 17*d**2 - 2*d - 101. Let t(g) = -4*g**2 + 2*g + 25. Let p(n) = -2*q(n) - 9*t(n). Is p(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-30) - 0)\/((-6)\/(-8)). Which is the third smallest value? (a) x (b) 1 (c) -0.06 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (13 - -13) - ((0 - -1) + 10 + 9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*a - 10, -3*a - 45 = -39 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 1. Suppose -3*m + 0 = -6. Suppose -3*r + 6 = -2*n - n, m*r + 5 = -n. Let o = n + 2. Calculate h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zez when three letters picked without replacement from {q: 1, z: 3, e: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(26\/(-8)))\/((4\/(-10))\/(2064\/(-2580)))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f**5 + 195*f**4 - 14*f**5 + 90*f**2 - 43*f**2 + 70*f**3 + 224*f**3 + 101*f**2 + 24*f = 0. Calculate f.\nAnswer: -6, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 less than 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 304776 and 303866 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 52905955.7?\nAnswer: 52905959.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15446833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-40 + -20 + 60)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (11 - -15)\/(5 + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - -3 - ((26 - 7) + -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 12*y + 11. Let q be o(-9). Let i be q\/(-8) - (-385 - 0). Is i\/(-6)*(-4)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443 (base 6) in base 7?\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32006.000063996 - -32006. What is l rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71492 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/3445069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 + 2 = 0. Let m = -5 - -20. What is the highest common divisor of f and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 1, p: 3, d: 4}. What is prob of picking 1 p, 1 v, and 2 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765114, -765183, -765252, -765321, -765390, -765459?\nAnswer: -765528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/14 - 4\/14. Let q(j) = 7*j**3 - 4*j**2 + 3*j + 3. Let m(d) = d**3 - d**2 + d + 1. Let y(a) = z*m(a) + q(a). Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:43 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/63)\/(10\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/3)\/c)\/((c\/(c**0\/c*c*c))\/c))\/((((c\/(c*c*(c**(2\/3)\/c)\/c*c))\/c)\/c)\/(c**2*c)) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 1219.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c**2 + 2*c**2 - 3*c**2 + 0*c**2 + 2*c in the form p*c + j*c**2 + g and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -146042.\nAnswer: -1\/73021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2063, -2068, -2075, -2084, -2095?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - -5) + -22 - -2 - -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 - (-105 - (-71 + -6)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 232\/832 - 4\/32. Sort -1\/6, -1\/9, i, 1 in decreasing order.\nAnswer: 1, i, -1\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42007 and 19907?\nAnswer: 49190197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1773 * 2902.4.\nAnswer: -514.59552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 524171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1066 + 1632. Let p = 571 - g. Let d(l) = 5*l**3 + 2*l**2 + 4*l. Let o(h) = -5*h**3 - 3*h**2 - 5*h. Determine p*d(u) + 4*o(u).\nAnswer: 5*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {x: 3, q: 6, w: 5, b: 1, d: 5}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 29712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1796 - 1829. Let s = 51.2 - 51. Which is the third smallest value? (a) s (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 - (-9 + 0 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 79188868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 - 4*m**3 + 8*m**2 + 11*m**2 to q*m**2 + c*m + r + t*m**3 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*m**2 + 224*m - 352071 with respect to m.\nAnswer: 82*m + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 69 = -w, 3*w = -161*r + 157*r - 2 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3704080.\nAnswer: 2, 5, 46301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 355144 (base 7) in base 16?\nAnswer: fade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (145\/120)\/((-6)\/(-1032)) - 8\/(-48). What is the greatest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46192072 to the nearest integer?\nAnswer: 6796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 15. Let z(t) = t**3 - 4*t**2 + 5*t - 3. Let k be z(f). Suppose -w + r = 0, -3*r + 15 = w + k. Are 14\/5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/150 and 77\/3677088.\nAnswer: 91927200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314001 is divided by 2566?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593768091.\nAnswer: 3, 7, 28274671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -4, 667 in decreasing order.\nAnswer: 667, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1169\/35 + 0 + 4\/(-10). Let o = -14 + l. Let g = 134\/7 - o. What is the third smallest value in -0.6, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 17. Let h be g(-10). Let n(l) = 12*l - l**2 - l**h + 2*l**3 - 5*l - 4 - 5*l**2. Suppose i - 20 = -4*i. Give n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6303956, 6303958, 6303960, 6303962?\n\"Answer: 2*m + 6303954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/77)\/(1\/27*(-6)\/1)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, 3, -3.\nAnswer: -6, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2288 and 1040?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -52, -81, -130, -205, -312?\n\"Answer: -n**3 - n**2 - 5*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -807 (base 16) to base 8.\nAnswer: -4007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h**2 - 14*h + 3. Let k(i) = -2*i**2 - i. Let s(v) = 6*k(v) - n(v). Let w be s(-5). Solve 4*a = w + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 + 428 = 91*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -6*a + 3*a. Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 13*l - 5296 = -35*l. What is the remainder when l is divided by 1319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*315\/(-126).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -462 - -6091?\nAnswer: 592c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -17\/2*f**4 + 130 + 0*f**5 - 68*f - f**2 + 0*f**3 + 1\/3*f**6. What is the second derivative of x(g) wrt g?\nAnswer: 40*g**3 - 204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*16503.\nAnswer: -825.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = g - k, -3*k = 2*g + 14. Let b = g + 9. Solve -4*v + b*o = -28, 4*o = -2*v - 0*o - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9174 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 12*q - 263. What is l(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 35 = -u, 2*c = 4*c - 5*u - 5. Let s = 14 + c. Suppose -98*n + 21 = -91*n. Solve 0 = -2*d + n*q - 5 - 9, 0 = s*d - q + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + s = 19, -3*p - 4*s + 5*s + 16 = 0. Let n = -3 + p. Let u be (-2)\/6 - 28\/(-12). Solve -l - g - 9 = 0, -n*l + 3*g + u = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -17. Solve s + 2 = 2*j + 3*j, 4*s - 5*j - 7 = n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-780)\/28 + (-5)\/35. What is the units digit of 285\/2*l\/(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 203.3381 to the nearest integer.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from {k: 4, i: 1, l: 1, n: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.626, -0.073, -0.4, -6\/5, -3, -1\/10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1286*o + 1850*o - 67680 = 0 for o.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 137\/3. What is the nearest to 10 in -2\/5, -3, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 87 = -735. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26719.8 + 26719. Let u = -9 + 9. Put p, -0.4, -4, u in descending order.\nAnswer: u, -0.4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2738 and 962.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -364 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14039, 14043, 14049, 14057, 14067, 14079?\n\"Answer: t**2 + t + 14037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -42, -65, -100, -153, -230, -337, -480?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 238*b + 25320. Give d(83).\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007316843759 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -50. Suppose -5*n + c = -n. Suppose -f = 4*i - 13, f - n*i = -f. Solve -5*w - 3*s = 8, f*w - s + 4 = -0*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00082021661 to seven decimal places.\nAnswer: 0.0008202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.2, 4, -1.319 in decreasing order.\nAnswer: 4, 3\/8, -0.2, -1.319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Let s be 1*12\/64*t\/(-3). What is the nearest to -1\/3 in -4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 8 + (-7 - 6) + 12\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 - 1.5. Sort -4, l, 0.6 in descending order.\nAnswer: l, 0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*c + 9761 - 9665 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 14*r + 3. Let y(x) = -298*x + 103 + 297*x - 102. What is j(l) - 3*y(l)?\nAnswer: -l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 639, -3 in increasing order.\nAnswer: -3, 17, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 8*v = -4*j + 1500, 4*v - 1795 = -5*j. Calculate the remainder when j is divided by 92.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 6*z = -44*n - 36, 0*z - 4*z = -20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*n**6 - 3*n**5 - 5*n**3 - 29*n**2 + 45*n + 6.\nAnswer: 25800*n**3 - 180*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u - 3128 = 87*u + 144*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 6*z. Let o = -3157\/2 - -1584. Let p(t) be the first derivative of -o*t**2 + 6 - 7\/3*t**3 + 0*t. Calculate -11*f(x) + 6*p(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**8\/112 + w**4\/24 + 3*w**2\/2 - 3*w. Let h(b) be the first derivative of y(b). Find the second derivative of h(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 44. Does 10 divide v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-16 - (0 - (10 - 8)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 44. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23458249, -23458253, -23458257, -23458261, -23458265, -23458269?\nAnswer: -23458273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**8\/1176 - j**7\/105 - j**6\/105 + 2*j**5\/35 + 814*j**2. Find o, given that v(o) = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.173 - -0.127. What is the closest to 2\/7 in -1\/6, 10, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1460770 and 16?\nAnswer: 11686160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -535*n**4\/2 - 4556*n**3\/3 - 3757. What is the third derivative of p(r) wrt r?\nAnswer: -6420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 64. Let u be z\/(-15) - (-2)\/(-6). Which is the closest to 1? (a) -3 (b) u (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290053932 take away 3.9?\nAnswer: -290053935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/5 and -43\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -4, 2.\nAnswer: -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38841161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*l + 1 - 6 + 12*l + (-4 + 4 - 2)*(-51*l - 31*l - l).\nAnswer: 168*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((-21)\/(-9))\/7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 + 6*k + 5. Let z be m(-6). Suppose -2*o + 2*a + 906 = 0, 5*o - z*a = -2*a + 2257. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let a(u) = 3*u - 2. Let w(o) = -a(o) - 4*h(o). What is w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 448\/15. Let d = 35 - 33.3. Let t = d + -2.7. What is the closest to 0.1 in v, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 = -2*g, 369*v - 370*v - 3 = 4*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -117*j + 4. Let p(d) = -2*d**2. Calculate p(n(x)).\nAnswer: -27378*x**2 + 1872*x - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19578 and 3.\nAnswer: 19578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -60, 3158?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 3, n: 2, q: 6, j: 4}. Give prob of sequence nkj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(3\/(-150)). Let w = -8 - c. Solve 5*v = -q - w + 6, 0 = -3*v - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-55*q - 24*q - 177*q) + 2 - 3*q - 2*q + 6*q.\nAnswer: 513*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -165*n - 71. Let m(x) = -166*x - 70. Let g(h) = 5*k(h) - 4*m(h). Let b be g(-2). What is the highest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 106679 = -4*r + 6*a, 2*r - 53336 = -4*a. Round r to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 + 3*q + 1. Let c be i(3). Let a be c - (0 + 1)*-2. Let t = 3 + 6. Solve 3*p - a = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 9*i**2\/2 - 2649*i\/2 - 885 = 0.\nAnswer: -2\/3, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308 - -304. Put l, -133, 3, -3 in descending order.\nAnswer: 3, -3, l, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215476 and 2216.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 take away -10919032?\nAnswer: 10918990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 - 10*r - 16. Let j be i(-7). Let o(y) = 2*y**3 + y**2 - 10*y + 7. Is o(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 855*q + 91011. What is p(200)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236414208 divided by -3693972.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = 18. Let c be (-6)\/9 - (-8)\/i. Suppose 3*o = 12, z + o = -0 + 6. What is the greatest common divisor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 45 = 9. Suppose f = -w - 2*l, -15 = 4*w + 2*l + 51. Let n be ((-2)\/(-4))\/((-2)\/w). Calculate the highest common factor of 6 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-4)\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*k - 10, 3 = -2*k - 2*p + 9. Solve -r = -n, -n = n - k*r + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (9 - -2)) + 1*921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -13103?\nAnswer: -13076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(72))**2 + sqrt(32) + 5.\nAnswer: -20*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2)**2 - (sqrt(3) + sqrt(363) + 0 + sqrt(363)) - ((2*sqrt(30))\/sqrt(10) + (sqrt(75))**2 + -1).\nAnswer: 3*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-29011)\/(-8) - (-252)\/(-672)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.82 + 7. Let o = -2.92 + 3. Let j = o - y. What is j rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -920.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from dqdvdvvopdvqpq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/(r**(3\/5)*r))\/r))*r)\/(r**19*r) assuming r is positive.\nAnswer: r**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 12987*k - 1378187. What is w(107)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 915727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a (base 16) in base 6?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110 + -111101011101010101?\nAnswer: -111101100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + -33 + 32 + (-3 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 17*t + 42 + 2*t + 15 + 41.\nAnswer: 13*t + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*l - 11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-1 + 0) - -2. Let p(s) = -s**3 + 9*s**2 + 14*s - 16. What is the remainder when p(10) is divided by 2\/t*117\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13897 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 24*q**2 + 47*q + 6. Let n(h) = 2*h**3 - 16*h**2 - 48*h - 5. Give 2*a(w) + 3*n(w).\nAnswer: 2*w**3 - 50*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*r + 67. Suppose -3*g = -5*b - 230, 96 - 322 = -3*g + b. Let p be 0*(g\/20 - 4). Sort 1, p, r.\nAnswer: p, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + sqrt(17) + 1 + sqrt(17))*-6 + -4)**2 + 4.\nAnswer: 528*sqrt(17) + 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -871 - -871. Sort -3\/28, k, -2\/9 in decreasing order.\nAnswer: k, -3\/28, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 3)\/(6\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 19 (c) -0.4 (d) 232 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = -5. Suppose 0 = -0*a - a - 2*r - g, -5*a = 5*r - 5. Factor 2\/3*o**a + 4\/3*o**2 + 2\/3*o + 0.\nAnswer: 2*o*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2926 and 58\/25.\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.29996 rounded to zero decimal places?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 355*j - 1364. Solve -3*h + 17 = x, 5*h - 47 + 7 = -j*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 3. Let s(b) = -b + 1. Let u(d) = q(d) - 5*s(d). Let r be u(-6). Find the first derivative of -3*n**4 + 2 + 7 - r wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37812503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*f - 322 = 1078*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(396)*-6 + sqrt(396))\/sqrt(9))\/(sqrt(4) - ((sqrt(16)*-1)\/sqrt(4) + sqrt(4)) - 6*sqrt(12)\/sqrt(3)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 10*p**2 - 7*p + 11. Is k(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4248*0.0416\nAnswer: 176.7168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10450)\/(-228))\/275*-123*(-2)\/(-2)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 30 - 10. Let r(d) = d**3 + 7*d**2 + 6*d + 1. Is r(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let t(d) = -d**2 - 4536726*d + 4536726*d. Determine t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:51 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -633.6 - -633.5. Which is the second biggest value? (a) s (b) -0.102 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**6\/30 - h**5\/10 + h**4\/3 + h**3\/3 - 3*h**2\/2 - 23*h. Let s(p) = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172 + 171.5. Which is the second biggest value? (a) y (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*n**2 + 158*n**2 + 98*n**2 - 363*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444193048.\nAnswer: 2, 13, 31, 137777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 0.3 (c) 13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 55*g + 1 + 1653*g to z + f*g and give f.\nAnswer: 1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21873 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: Calculate the remainder when 4972609 is divided by 775.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - ((-13162820)\/2805)\/(-67)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8376.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -0.4. Let x = 2940594 + -2940588.600042. Let g = u + x. Round g to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 370443 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 7}. Give prob of sequence aaza.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(200)*-2 + (2*sqrt(117)*-3*5)**2.\nAnswer: -sqrt(13)\/5 + 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 13 - 27 - 1467*b - 966*b - 1100*b.\nAnswer: -3533*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 4*l - 8. Let w be j(6). Sort 2\/3, -1\/23, w, -2\/7, -0.04 in decreasing order.\nAnswer: w, 2\/3, -0.04, -1\/23, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43715 (base 12) to base 13.\nAnswer: -3176c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 9*k - 14*k in the form m + d*k and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 + 4*p**3\/3 + 4*p**2 + 10*p + 12. Let j(c) = -3*c + 1. Let b be 9*(40\/12 - 3). Let m be j(b). What is n(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111141 divided by -8130.\nAnswer: 37047\/2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 1. Let a be w(1). Find the third derivative of 3*u**2 - 4*u**2 - 3*u**3 + 6*u**a wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + 7*k + 2*k + 10*k + 3*k**2 + 4*k.\nAnswer: 3*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445 - -99. Let a = -327 - p. Solve -2*w + 3*s - a = 0, 3*w + 19 = 3*s - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 951*y**2 - 2 - 704*y**2 + 1290*y**2 to t*y**3 + g + p*y + n*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -8355.\nAnswer: -359265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 752 and 9212.\nAnswer: 36848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1048, 1498, 2242, 3280?\n\"Answer: 147*q**2 + 9*q + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.1, 0.17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114971 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*a*m**3 - 17*a*m**2 - 8046*a*m + 10614*m**3 - 2*m**2 + m + 30 wrt m?\nAnswer: -1974*a + 63684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36493 (base 10) to base 6\nAnswer: 440541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 21*a - 34. What are the prime factors of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228244 by 5.\nAnswer: -228244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1690 and 30.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2078*c - 8293. Determine n(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s + 6. Let r(q) = -9*q + 11. Calculate 6*r(t) - 11*y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 294 = -210. What is the remainder when 149 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -71*t**2\/2 - t - 46. Let q(o) = o**2. Give q(j(m)).\nAnswer: 5041*m**2 + 142*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991*v + 12 + 4 - 17 + 1.\nAnswer: -991*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3140 divided by -5\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 15*h**2 + 9*h - 8. Let l be n(8). Suppose -2*w + 3*o - 2*o + 1 = l, -o + 5 = 0. Solve 2*m - 18 = 2*z, -w*m - m - 4*z = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34401*i*k + 15350243*i - 911*k - 20 wrt k?\nAnswer: 34401*i - 911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7697 + 1122?\nAnswer: 8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**4 - 2 + 2 - 1 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -11 - 3. Which is the closest to x? (a) -3 (b) -3\/2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/39 (b) 0.088 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 13*f - 32. Let n be c(12). Let h(m) = 35*m**2 + 20*m + 20. Let u(t) = 5*t**2 + 3*t + 3. Give n*u(d) + 3*h(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 10. Suppose -4*g = 2*h - 24, -3*h - 2*g = -5*g - 18. Let v be d(h). Is 1\/v - (-182)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*14\/(-21). Let i = 8 - v. Let z = 32 - i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*h - 24, -y = -2*h - 2*h - 13. Let c be 3*(h - 32\/(-18)). Suppose -3*a - 6 = 6. What is the nearest to c in 4, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -7*a**6\/30 + 5*a**4\/12 + 3*a. What is the third derivative of r(p) wrt p?\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**3 - 1320*s**2 + 9524*s - 2266. Calculate p(-227).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 673 = j - 306, 2*s = -4*j + 636. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -951 * -0.0039\nAnswer: 3.7089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5 = 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfflffff. What is prob of sequence fll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-18))\/(30\/(-45)*7). What is the second biggest value in b, 1.3, 0.1, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005133285 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((14*b - 105 + 105)*(1 - 3 + 0) - 4 + 7*b + 4 + (b + 4*b - 3*b)*(-3 + 3 + 1))*(0*b + b - 5*b) to y*b + w + t*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3a38 - -11b?\nAnswer: -a391a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 196 + 2*s + 3*s + 3*s**2 + 5*s - 5*s**2 - 12*s as r*s + c*s**2 + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -829\/6 in -168\/5, -5, 0.1?\nAnswer: -168\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*g - 2*i, -1592711*g + 29 = -1592715*g + 7*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3553067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**3\/6 + 2*r**2 - 5*r. Let g be q(3). Let n be (-230)\/(2 + g\/(-3)). Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84231240 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-24))\/(74\/(-296))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 2. Let s be i(3). Suppose 134 + 22 = 4*k + 4*g, -2*k = -3*g - 73. Calculate the greatest common factor of s and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125841 is divided by 1357.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*b + 9, -4*b = t + b + 13. Suppose i = -t + 13. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -153*r + 607. Let t be y(4). Put t, 5.4, -8 in ascending order.\nAnswer: -8, t, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/11 + 3*h**4\/11 - 215*h**3\/11 + 501*h**2\/11 + 170*h = 0.\nAnswer: -17, -2, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + -2 - -3) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -639 - -643. Solve 3*x = -11*d + 12*d - 4, d = -5*x + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t + 16. What is u(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1699\/2486 + -2\/1243. Let b = -32\/83 - -3991\/664. What is the common denominator of b and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(8\/(-1))*(-6)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1587964380309 from -3.\nAnswer: -3.1587964380309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzewy. What is prob of sequence zw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-36)*((-2)\/8)\/(4\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003739 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-153)\/34*(-2)\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 938, 3614, 8942, 17810, 31106, 49718?\n\"Answer: 148*y**3 - 6*y**2 - 106*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(76) + (sqrt(76) - (sqrt(76) - sqrt(76)*-2))**2) + sqrt(76) + sqrt(76) + sqrt(76) + -1 + 5*(sqrt(76)*1)**2 + 3) + 0.\nAnswer: 4*sqrt(19) + 1138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 237 + -1?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from fgga.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2)\/sqrt(9) - (sqrt(19)*-1 + 2 - sqrt(19)))**2 + 1*sqrt(931)*-3 + 4.\nAnswer: -21*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13923.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jzzjzzzjzzjzozjjzzoj?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-2 - (2 - 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 6*l - 5. Let q(z) = 13*z**2 + 5*z + 5. Let g(b) = 0 + 3*b**2 + 3 + b - 2. Let u(h) = 9*g(h) - 2*q(h). Determine o(c) - 5*u(c).\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (94\/(-6))\/(5\/(-30)). Let f(a) = 93 + a - 5*a - x. Let c(y) = y. Let q = -82 + 81. Determine q*c(v) - f(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*b - 10796 - 31137 = 23995 + 11028 for b.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.454212 + -0.454. What is t rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335 + 186. Which is smaller: -147 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/5 - 14204*j**2\/5 - 2841*j = 0 for j.\nAnswer: -1, 0, 14205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6057519 (base 11) to base 16.\nAnswer: a375c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + (1 - -3). Suppose q*b - 100 = -b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 1144159, -1.\nAnswer: -1, 3, 14, 1144159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**4 + 3*i**2 - 3*i**2)*(99 + 128 + 143 + 48) to j*i**3 + k + f*i**4 + c*i**2 + a*i and give f.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8082 or 8170?\nAnswer: 8170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -68391?\nAnswer: 68390.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 6, -2\/7, -1, 0.1, 21\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65702383 - 4?\nAnswer: 65702379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.48 in -4, 51, 2, 4\/11, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 12*g + 14. Determine j(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8199*t**2 - 8200*t**2 - 4872*t**3 - 6372*t**3 in the form a*t + j*t**3 + c + u*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 0*f + 2307 = 3*v - 2*f + 2259, -3*f = 2*v + 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -5\/18?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638010165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 16. Let l be s(12). Suppose 0 = -n - l*n + 2*b + 14, n + 8 = 4*b. Calculate the greatest common divisor of 52 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + a + 20. What is g(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1036*f + 8. Let m(o) = -3054*o. What is v(m(a))?\nAnswer: 3163944*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 385 - 377. Find the third derivative of 175*k**4 - k**5 - n*k - 6*k**5 + 18*k**2 + 2*k - 18*k**5 - 177*k**4 wrt k.\nAnswer: -1500*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28982216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/2 + 310429*g\/2 + 310431 = 0. Calculate g.\nAnswer: -2, 310431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -96. Let c = n + -14. Let l = 80 - c. Calculate the greatest common factor of l and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15 - (-196)\/280)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 + 5725*f**4 - 195915*f**3 - 627805*f**2 - 426166*f = 0.\nAnswer: -5759, -2, -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -133624000 to the nearest 1000000.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from dppddd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**2 + 26*p + 50*p**6 - 76*p**6 + 6*p**2 - p**5 wrt p.\nAnswer: -3120*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = g + 3*m, 4*g = -8*m + 10*m + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 6, t: 7, u: 3}. Give prob of sequence guu.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 127314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 217314241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -134?\nAnswer: -38\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 202032 (base 5) to base 9\nAnswer: 8841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**3\/3 - 5*s**2 - 3*s + 8. Suppose -8*x - 40 = -3*x. What is the tens digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 22 = 3*s - c, -5*c = 2*s - 8. Suppose -38 = -4*u + 5*a + 7, -u + 4*a + s = 0. What is the greatest common divisor of u and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 3?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, 1 p, and 1 n when four letters picked without replacement from vnpnsnvnnpgsvvsvgn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 + 479. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:25 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82845 is divided by 6370.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -460.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 6. Let h be m(-3). Let g(s) be the third derivative of 0*s**h + 0*s + 2*s**2 + 1\/24*s**4 + 0. Let u(k) = -3*k**2. Give g(u(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178293478 rounded to four decimal places?\nAnswer: -0.1783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*p**2 + 16*p**2 + 4*p**3 + 2 - 29*p**2 + (0*p - p - p)*(0*p**2 + 2*p**2 - p**2) + p**3 + 4*p**3 - p**3.\nAnswer: 6*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 31*h - 180 = 0. What is the highest common factor of 32 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*n + 115*n + 82*n)*(-n**3 + 5*n**2 - 5*n**2) + (-n - 2*n**2 + 3 + n)*(n**2 - 4*n**2 + 4*n**2) as b*n**4 + y + i*n**2 + o*n**3 + p*n and give b.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose z*r - 4 = r. Let x(v) = -v**3 + 3*v**2 + 5*v. Let t be x(r). Solve -2*f + 14 = t*w, -2*w = -3*w - 4*f + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1120*s - 1105*s = -21, -1 = 4*l + 2*s - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 24 (c) 3\/7 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 3\/(-2 + -1). What is the remainder when 2\/6*23*p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -611*v**3*z**2 - 6*v*z**2 + 27*v*z wrt v?\nAnswer: -3666*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*p**4 + 252?\nAnswer: 304*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/360 and -47\/124128?\nAnswer: 620640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1309242570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315*s**4\/6 - 5270*s**3\/3 + 7810*s**2\/3 + 31600*s + 480 = 0. Calculate s.\nAnswer: -6, -4\/263, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 41 = -2*o, o = -2*x + 777 - 779 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -23, -51, -81?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = 22. Suppose -4*b - 44 = -4*c, 3*c - 1 = -3*b - 4. Let z(m) = 3*m**2 + 12*m - 1. What is the remainder when z(b) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 7*k - 3*k + 59*k**3 - 10 + k.\nAnswer: 59*k**3 + 3*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65903*f**6 + 2*f**2 - 122*f + 72 wrt f?\nAnswer: 7908360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + -1 + 0 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l*l*l\/l**(-2)*l*l)*l*l\/((l**(-1)\/l)\/l)*l**(-6)*(l**(3\/4)*l)\/l*((l**(2\/3))**(-5\/4))**(18\/5) assuming l is positive.\nAnswer: l**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -60. Let y(m) be the third derivative of 0*m + m**l + 0 - 1\/12*m**4 + 1\/60*m**5 + 0*m**3. What is the second derivative of y(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 14. Let b be (-69)\/12 + (-2)\/8. Let c be j(b). Suppose c*x - 5 = 3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 13803675.\nAnswer: 27607350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638 + 3060*g**2 + 638 - 3058*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395\/9 + -44. Is 2 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -5 + -1)*1. Let s be (o\/22)\/((-4)\/6). Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by (7084\/(-40))\/(-11) + (195\/(-150))\/13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-38)\/(-57))\/((-2)\/(-6)))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161646511 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.062085.\nAnswer: 0.0310425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19467 divided by -309\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 12. Let x(b) = p - 3 - 1 - 2 + 51*b. What is the tens digit of x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z + 2. Let u(w) be the third derivative of -7*w**4\/24 - w**3\/3 + w**2. Let q = -19 - -22. Suppose -j = -q*j + 10. Give j*u(p) + 6*l(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2198 and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x + 27. Let k be o(3). Solve 9 = -2*l - 5*v + 34, -l + k = 3*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/45 and -151\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2*d**4 - 4*d + 5*d - 4*d**4 - 4*d in the form s*d**2 + o*d + h + u*d**4 + t*d**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 16*o - 9*o in the form f + c*o and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 478*o + 5. Let k(i) = -i - 1. Calculate -a(j) - 5*k(j).\nAnswer: -473*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -87545\nAnswer: -4\/87545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1892 and 2915924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 122122\/819 + 16\/18. Solve 132 = -18*q + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/6 and 3*(-1)\/26*(-110)\/(-6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197955826767 - 197955826767 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 1098061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 45cc520?\nAnswer: 45cc514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201002 (base 3) to base 8.\nAnswer: -3665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -d + 123, 0 = -7*d + 8*d + 2*g - 113. Suppose 3*s + 3*q + 0*q - d = 0, 0 = 4*s - 5*q - 147. What is the remainder when 75 is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 24)*(-3*p**3 + 2*p**3 + 0*p**3 + (2*p + 3*p**2 - 2*p)*(-3 - p + 3))*(1 + 6 - 2).\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36744 and 16657280.\nAnswer: 49971840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Let a be (-2 - -10)\/(f - -2). Suppose -a*v + 3 = -29. Solve -5*p + 3*r - r - 11 = 0, 4*r = -v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-10 + -1) + 1 + 264\/22 + -114?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {g: 1, h: 1, q: 4, s: 3, u: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 245 + 110*s - 246 + 4*s. Let p(i) = 9*i. Calculate d(p(k)).\nAnswer: 1026*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1675)\/(-30) + (-1)\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 4*x + 3*x)*(-7413 + 2*x - 6769 + 14834)*(-2*x - x**2 + 2*x) to the form y*x**3 + n*x + h*x**4 + k + z*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**2 + 11*n**2 - 113*n**2)*(10*n - 10*n + 2*n**3).\nAnswer: -168*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 108576214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*o = -7*o + 50, 2*u + 3 = 3*o. What is the remainder when 19\/4 + 5 + -7 + (-50)\/(-8) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -79411*m - 5717610. Calculate y(-72).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227627 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s - 1. Let q be (9\/(-18))\/((-1)\/(-2)). Let m be j(q). Let l = m - 10. Solve 20 = -n + l*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-7\/3))\/(((l*l*l*l**1)\/l)\/l*l) assuming l is positive.\nAnswer: l**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.4785082 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -12, -1\/25, -1.435, 5, 0?\nAnswer: -1.435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3460392100 to the nearest 1000000.\nAnswer: 3460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -264.28 and 2?\nAnswer: -528.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 0 - (0 + -1). Let l be 112\/20 + r\/(-5). Suppose l*p = 5*p. Solve 7*t - 4*t - 9 = p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v. Let w(t) be the second derivative of t**4\/6 - 9*t. What is w(k(b))?\nAnswer: 392*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, 2, -41, -136, -301, -554?\n\"Answer: -3*z**3 + z**2 + 9*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53453 is divided by 412?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 3*i - 49. Let x be t(9). Let q = 9 + 0. Suppose -n + x = q. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -17*w + 15. Let q be w\/((-5)\/(-10)*1). Let j(n) = 2*n**3 - 2*n**2 - 2*n. What is j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23 - 200*s + 878*s + 8489*s**3 + s**2 + 24 - 2550*s**3 + s**2 wrt s?\nAnswer: 35634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18)*54\/(-8)*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffefyheffhehhyffefe. What is prob of sequence ye?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from pqppqpppppppp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95289, -95290, -95291?\n\"Answer: -d - 95288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1937409728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534635329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 22\/7 (c) -5\/3 (d) 1 (e) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283*y = -2265*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22156?\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -110. Let c = a - 62. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/7 - (-7)\/49. Solve o = -3*x + b, 0 = 3*x + b + b - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (240\/35)\/((-7 - -15)\/38192).\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051, -4348, -9845, -17560, -27511, -39716, -54193?\nAnswer: -70960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/(-5775))\/((-1)\/2)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.269 and -2?\nAnswer: -0.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0125 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35121 (base 6) to base 3.\nAnswer: 20212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-6)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mdgmvvbmmndn.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let m(k) be the first derivative of -257*k**3\/3 + 956. Determine c(m(o)).\nAnswer: -514*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -321, 2\/7, -12.\nAnswer: -321, -12, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 95253*w**2 + 94764*w - 489 = 0. Calculate w.\nAnswer: -1, 163\/31751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*j + 458*j + 459*j + 460*j - 2278*j + 449*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1403 divide 172904317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*s - 258*s = 5*l, -s + 6 = -l. Let i be s\/(130\/31) - (-22)\/44. Find u, given that 4\/13 - 2\/13*u**3 - 2*u**2 - 8\/13*u**5 + i*u**4 + 10\/13*u = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3038 and 1737302?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 5*w**2 + 7*w**2 - 3*w + 8*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97017455 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -30212.3, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzzzzvzvivzvmv. What is prob of sequence vzv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104724133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1345, -1415, -1485, -1555?\n\"Answer: -70*l - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -7.6 (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117173215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let x(r) = -132*r - 151*r + 5 - 139*r + 406*r. What is x(c(u))?\nAnswer: 16*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a21ba (base 12) in base 15?\nAnswer: -18c6da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 97*z + 54*z - 116*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(832)) + -4 + (1*sqrt(832) + sqrt(832) - sqrt(832)))**2 - (2 + (sqrt(1573) + (-1 + sqrt(1573) + 0 - sqrt(1573)))**2*-1).\nAnswer: -86*sqrt(13) + 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/456 and -2\/135.\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 6*y**2)*(4 + y - 4) + (-y**2 - y**2 + 3*y**2)*(17 - 17 + 4*y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 377222.\nAnswer: 377222.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25786 is divided by 260?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23184, 31296, 39412, 47532, 55656, 63784?\n\"Answer: 2*h**2 + 8106*h + 15076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-309)\/(-721))\/((60\/3416)\/5)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -110 in ascending order.\nAnswer: -110, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911386199?\nAnswer: 23767, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6171\/7 - -885. Let p = -41\/14 + b. Factor p*k**4 + 0*k + 3\/2*k**3 + 0 + k**2.\nAnswer: k**2*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3076 is divided by 4\/24*-2 + (7 - 280\/(-21))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*p - 524*p + 265*p - 8 = t, -t + p = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (4 - 4)) + 2 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggqgqqgcgqgqc. What is prob of picking 1 g and 2 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + 14. Let i be q\/10*(-20)\/24. Let w = -0.2 + 0.1. Put i, -2, w in ascending order.\nAnswer: -2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 11?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2094, -2041, -1992, -1947, -1906, -1869, -1836?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1252000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054155 is divided by 1802?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 8*d**2 + 3*d + 28. Let s be g(7). Solve b + 5*h - 10 = 0, s = h - 3 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 407027197 and -4?\nAnswer: 407027201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.37, -0.4, -2?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68468999?\nAnswer: 23, 347, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 0 - -7) + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**3 - 7*y**2 + 19*y + 13. Is o(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 12*d + 240. Let u be (75\/(-20))\/((-12)\/d). What is the biggest value in u, 32, 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -308412 - 18?\nAnswer: -30842a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 14, d: 4}. Give prob of picking 2 s.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-216)\/(-51) + 56\/(-238). Let x(m) = 58*m - 209. Calculate x(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10952?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 + 0)\/1)\/1. Let w = -121 - -147.5. Let q = -27 + w. Sort q, n, -0.4 in descending order.\nAnswer: -0.4, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x + 1. Suppose -6*d + 22 = 5*d. Let j be (-2 + -2)\/(5 + -11 + d). Let l(k) = -7*k**2 - 9*k - 5. Give j*l(r) + 6*n(r).\nAnswer: -r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732961860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1887946 times -0.68?\nAnswer: 1283803.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or -397076?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-76747)\/11004 - 39\/(-52). Let y = u + -4\/393. What is the common denominator of ((-4)\/10)\/(204\/(-195)) and y?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-18) - 1557390\/(-540)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 4*r - 42 = 0, -3*r + 317 = 4*k + 310 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 49 + 17 = -4*h, -5*c = -h - 120. Let d be (6\/(-4))\/(3\/(-20)). Let n = 2 + d. What is the remainder when c is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -0.5 (b) -6 (c) -0.37 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) 2 (c) 0.5 (d) -0.3 (e) -402 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i - 4 - 14*i + 4*i. Give p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**2 - h - 3. Let i be l(4). Suppose 4*v - i = 115. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p - 162. Let h be y(24). Suppose -15*v - 3*v = -h. Let q be (-2)\/(-3) + (-32)\/(-6). Solve v*f - 5*f = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -154\/15*x**2 - 2\/15*x**3 - 142\/3 - 862\/15*x = 0. What is x?\nAnswer: -71, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 5\/2*z**4 - 25\/6*z**3 + 0 - 21*z + 0*z**2. What is the second derivative of h(j) wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 42. Which is the fourth biggest value? (a) w (b) 0.2 (c) 10 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.428 * 0.071.\nAnswer: -0.030388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4847+7631618\nAnswer: 7626771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*g**3*t**3 + 2*g**2*t**3 + 13*g + 118*t**3 + 10*t**2 + 4 wrt g?\nAnswer: 612*g**2*t**3 + 4*g*t**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 8)\/(1\/4). Let j = c - -36. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2. Let u be (-3)\/(((-9)\/(-21))\/b). Let q be (-80)\/(-35) - 2\/u. Solve 0*a - q = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 5*l = 22*i + 65, 0 = 276*i + 121*i - 32*l + 37*l - 1940 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 7. Let l be j(-10). Suppose 5*c = 2*k - 0*c + 600005, 900001 = -l*k + c. What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/9 - 52\/3159*27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c. Let u(k) = 8*k. Let s(x) = 15*x. Let t(a) = 3*s(a) - 5*u(a). Calculate v(t(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3181595432 - -3256.\nAnswer: -3181592176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 3 = -39. Suppose -4*v - v - 20 = -y*p, -p = -v - 5. Is v > 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/77 and 37\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 15. Suppose 2*f - 31 = i*g + 87, 4*g = -8. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8755242, 35020989, 78797250, 140084031, 218881338?\nAnswer: 315189177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**9)*l*l**(1\/5))\/(l*l**(2\/3))**24 assuming l is positive.\nAnswer: l**(-239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 1. Let b(j) = -13*j**2 + 3 + 2 + 1. Suppose 31 = -22*w - 57. Let k(x) = w*b(x) - 12*a(x). Differentiate k(y) wrt y.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 12, v - 4 = -h - 0*v. Let n be -1 - -2 - 15\/16. Which is greater: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4875*j**3 + 756*j**3 + 2*j**2 - 175*j**3 + 10*j**2.\nAnswer: -4294*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + 23*z**2 - 33*z + 14. What is a(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/3 - 40*t\/3 + 64 = 0.\nAnswer: 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 16614.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85903 is divided by 327?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -46 + (-194 - -166).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*q - 29*q + 55*q - 3)*(-q + q - 2*q)*(-2*q - 2*q + 6*q) in the form d*q**2 + h + x*q + t*q**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131432044 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01, 3, 0.6, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/685)\/(14564\/6620).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5)*p**(1\/4))**22\/((p*p**0\/p)**(1\/34)*(p\/p**1)**(-23)) assuming p is positive.\nAnswer: p**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - j + 5. Let a(y) be the second derivative of 11*y**4\/12 - y**3\/2 + 7*y**2 - 22*y. What is 6*a(u) - 17*t(u)?\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 + 37*q**2 + 25. Let i(v) = v**3 + 2*v**2. Give 5*i(g) - y(g).\nAnswer: -g**3 - 27*g**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 130937.7.\nAnswer: 130937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (584\/(-1314))\/((-44)\/1287)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/45 + b**4\/12 + b**3\/9 + b**2\/18 + 237. What is p in k(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1120*a**3 + 60*a**2 - a - 748303 wrt a?\nAnswer: 3360*a**2 + 120*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) - (3 + -6). Let y(k) = k**z + 10*k**2 - 8*k**2. Let s(v) = 2*v. Determine y(s(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) 4 (c) 56 (d) 475 (e) -0.03 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 0, 2*g - q - 2 = -0*q. Suppose -3 = -g*c - 3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 19*q + x + 1, 1 = 2*q - x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22543823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -11*b + 4*r, 5 + 9 = 3*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420177630 divided by 1022330.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (20 + -38) - (-28 + -1 + -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2211412 + -147?\nAnswer: 2211254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.6 + 32.6. Let z = 0 + -1. Which is the closest to 0.2? (a) s (b) 0.07 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -19. Let r = -5.973 - z. Round r to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 689565?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 215, 44, -311, -916?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3*(-209)\/(-2299)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 - 2 + 9 - x**3. Let m be d(0). Which is greater: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -187634.\nAnswer: -187633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 13. Let r be d(-6). Let i(u) = -4 + 2*u**2 - 2*u**2 - u**2 + 3*u. Let x be i(3). Which is the closest to 0.1? (a) 0.5 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 2938924*c\/3 + 2159318569444\/3.\nAnswer: (c - 1469462)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 2*a - 1, 5*r - 2*a - 7 = 2*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/4 + 0. Let h = -1.77 - -1.57. Let l(t) = t**2 - t + 3. Let o be l(0). What is the closest to -1 in h, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000111 (base 2) in base 15?\nAnswer: 2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (2 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - a - 5. Let y(n) = -9*n**2 + 2*n + 8. What is 5*w(f) + 3*y(f)?\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -58\/811853 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u**2. Let s(d) = d - 2. Let l(q) = -5*q + 11. Let k = 9 + 24. Let b(n) = k*s(n) + 6*l(n). Give b(w(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 3. Let c be f(-2). Let l = -153 - -155. Solve -15 = w - 4*q, c*w = 3*w + l*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - y + 5 = -3*f, -4*y + 20 = -2*f. Suppose f = -q + 3*q. Is 8 a factor of (q\/(-2))\/(-2) + 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 - 133 - (0 + -2 - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q = 0. Suppose -5*o - 25 = q, -4*f = -0*o + o + 1. Suppose 0 = -4*c + m + f, 4*c = -2*m + 6*m + 4. Solve -5*a + 1 = -2*x + 6*x, c = a - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = 15. Let i(s) = 31*s - 8. Let j be i(u). Is 85 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2012*s = 1987*s + 538450. What are the prime factors of s?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 14*g + 8. Is 5 a factor of h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2 = -c, 3*c = -7*s + 4*s + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 67060000 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4\/5))\/j*j**16*j\/j**25*j*j**(7\/4)*j assuming j is positive.\nAnswer: j**(-101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -314, -217, -2\/5, -12 in descending order.\nAnswer: -2\/5, -12, -217, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.09952 nanograms in micrograms?\nAnswer: 0.09909952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/3895725 and 34\/2600325.\nAnswer: 1063532925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 + 88*d**2 - 30*d**2 - 73*d**2.\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -63. Let t(h) = -5*h - 24. Let f be t(m). Which is smaller: 47 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*67\/67. Let b be 1\/(-21)*25 - -1. Is p != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -959, -2179, -4223, -7091?\nAnswer: -10783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 31162. Let c(r) = 3*r**2 + 12*r. What is n(c(m))?\nAnswer: 3*m**2 + 12*m - 31162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65\/8147264 or -1?\nAnswer: 65\/8147264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:34 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485295 divided by 15?\nAnswer: 32353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 27e?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44\/20 - 2\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 g when four letters picked without replacement from {b: 5, l: 2, g: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*c + 81 = 0, 3*k - 23 = k + c. Suppose j = 5 + 9. Calculate the highest common divisor of j and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Sort 2, s, -3 in descending order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -724?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18367315.\nAnswer: 5, 3673463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -190, -378, -564, -748, -930, -1110, -1288?\n\"Answer: x**2 - 191*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 1079963985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0)\/((m**(-5)\/m)\/m)*((m*m*m**(-3\/5)\/m*m)\/m)\/((m*m**(-16)\/m*m)\/m) assuming m is positive.\nAnswer: m**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 570, -1, 1.\nAnswer: -5, -1, 1, 10, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299.979009 + -300.619. Let b = 0.64 + y. Round b to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 2*g**2 + 3. Let f(n) = n**3 - n**2 - n - 1. Let m(r) = f(r) + t(r). Let i be -1 + -2 + -2 + 3. Let z be (-1 - -1)\/(1 + i). Give m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p - 5. Let j be z(7). Suppose 0 = 3*h - 5*h, -j*h = 4*b - 20. Let d = 6 + b. Calculate the greatest common factor of d and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345009.\nAnswer: 2345009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**4 - d**2 - 28566*d + 10640153.\nAnswer: 28*d**3 - 2*d - 28566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-9) - 2\/(-3). Let a be 0 - 3*8\/d. What are the prime factors of a\/(-14) - (-242)\/14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24579736 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 12*m**2 + 142*m - 1085. Determine v(9).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/60 + 2*h**5\/5 + h**4\/3 + 43*h**3\/6 + h**2 - 1. List the prime factors of f(12).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + -47. Let t = 300 + c. Calculate the remainder when t is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 - 2 + 7 - 1 - 3. Let b(q) = q - 1. Let h be b(-1). Let a(d) = -d**2 - 2. Give h*a(f) + 4*s(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 1410*r**3 + 8544*r**2 - 11424*r = 0. Calculate r.\nAnswer: -476, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652632, -1305263, -1957894?\nAnswer: -2610525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.5 - -4.5. Let q = b - -6. Let h = q - -38.8. Round h to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 + 109. Suppose 2*k - k + 180 = 0. Let x be (0 - h\/2)*k\/(-54). Let j(z) = -2*z + 7. Calculate j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 872 and 6468932.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1257360 and 19120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/5*(-40)\/(-16). Let t = -283\/14 - f. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -32\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9945850 and 5950.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2171*n + 88*n - 17769 + 127325 = 463*n for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -300, -90, 120, 330?\n\"Answer: 210*q - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -21\/2*i**2 + 3 + 0*i - 5*i**3. Find the second derivative of s(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165333.9599 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-4) - 1)*28. Suppose 0 = -5*t - y + 4*y + 48, 0 = -4*t - 2*y + 34. What is the greatest common divisor of b and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745 - 3157 - 26161 = 911*v for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 z, and 1 q when four letters picked without replacement from {z: 6, q: 3, o: 3, g: 3, v: 1, m: 1}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 19. Suppose 30 = -2*t + v*t. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, -221.\nAnswer: -221, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19325 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 13. Suppose -3*i = -2*w - 4, -3*w = i - 5 + 11. Let k be t(i). Let l = k - 8. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.7 - -85.2. Which is the biggest value? (a) k (b) -2\/7 (c) 0.3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 2 + 2*j + 3 + 0*j**2 + 2*j**2.\nAnswer: (j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2. Let x(b) be the second derivative of b**4\/6 - 11*b. Determine x(n(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -a3bdb8?\nAnswer: a3bdbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*0.025.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 3*z - z**2)*(-17 - 1 + 4)*(5*z**2 - 4*z**2 - 3*z**2) + 0*z**2 + 0*z**2 + z**4 to the form k*z + i*z**2 + l*z**4 + n + u*z**3 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6818 and 974?\nAnswer: 6818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*r - 4*z, -5*r = -8*r + 2*z + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*1*27\/(27\/14). Solve 0 = -8*m - 104 + a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-4298))\/((-360)\/192). Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 4}. Give prob of picking 2 x and 2 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(340\/8))\/(-4). Which is the closest to 0? (a) t (b) 2\/3 (c) 4\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1077 - 1077. Suppose 3*f + 238 = 3*d - 116, -2*f + 3*d - 236 = 0. Let o = f + 1179\/10. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = i + 2*n, -5*i - 148*n + 147*n = 377. Is -76 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -913, -1903, -2889, -3871, -4849, -5823, -6793?\n\"Answer: 2*i**2 - 996*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -277, -461, -683, -955?\n\"Answer: -2*x**3 - x**2 - 141*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8059305500 to the nearest 1000000.\nAnswer: -8059000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s - 7. What are the prime factors of j(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(10*p - 2*p + 2*p)*(-4*p**2 + 3*p**2 + 2*p**2).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/357 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 529639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/7 + 366*n**3\/7 + 4985*n**2\/7 + 20136*n\/7 + 25344\/7 = 0.\nAnswer: -352, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 10*y**2 - 17*y + 1. Let h be m(6). Let s(q) = -q - 5. Give s(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**2 + 6*f + 0 + 1\/30*f**5 + 1\/6*f**4 + 1\/3*f**3. Let h(d) be the first derivative of k(d). Factor h(o).\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.12, 0.1, 3, -2\/11, -2\/13, 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 41*v - 15488. Suppose 0 = 9*n + 2*n - v. Solve n*o - 6 = 46*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 + 25.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 75. Let a be (-2)\/5 + n\/(-25) - -1. Let y be -1*(-4)\/(-8)*a. Solve y*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*t = 22, 0 = 4*r - 2*t - 4 - 4. Is 787\/8 + r\/(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 69 (b) 208 (c) -3\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15652 - -15651.9999769714. Round f to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97285371041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 167b09 (base 13) to base 11\nAnswer: 352736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469 or -293097\/626?\nAnswer: -469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23508 and 3456?\nAnswer: 2256768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-22))\/(4186\/2093).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, j: 1, a: 2, v: 1, d: 1}. What is prob of sequence ja?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5565*j - 5565*j + 33*j**2 as u*j + s + x*j**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 16*w**2 + 14*w - 16. Let y be r(-15). Let d(q) = -7*q - 1. Let p be d(y). Solve -m - 1 = -p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-10\/3)\/(u*u*u**1*u*u\/(u*u**(-2))) assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3878? (a) -5 (b) 0.1 (c) 0.3 (d) 14 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five eighths of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - -1*sqrt(143))*6)\/(sqrt(44)*1) + 4 + 0)**2.\nAnswer: 48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18 + -2)\/(3\/(-5))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*t - 153 = -132*t. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.83 - 0.17. Let x be 9\/(-21)*2\/6. Let d = -32591\/55 - -6516\/11. What is the nearest to 0.2 in x, t, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 275 (b) 436 (c) 5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/3 - 285*b**2 - 6*b. Let x be s(0). Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936706 is divided by 312234.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -11*l**7\/35 + 31*l**3\/6 - 102*l**2. What is the first derivative of a(v) wrt v?\nAnswer: -264*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -5, 48, 5 in decreasing order.\nAnswer: 59, 48, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*z + 3, -5*t = z + 1091784 - 1091768 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3332359 and 927?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -799*l**5 + 6*l**4 + 1102*l + 1. Let t(n) = -2*n**5 - n**4 + 2*n. Let c(p) = -f(p) - 6*t(p). What is the second derivative of c(h) wrt h?\nAnswer: 16220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2\/2 + 9*z - 8. Let k be h(3). Let a(m) = -2*m. What is a(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1787 divide 1079303325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 96*b + 122. Let z(s) = -19*s - 28. Let d(r) = 3*f(r) + 14*z(r). What is d(5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 22*n**3 + 14 + 3*n - 21*n**3 + 10*n**2. Calculate the remainder when 10 is divided by c(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18192592 and 2083268.\nAnswer: -16109324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1281 - 882. Let l = f + -398.999699. Round l to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 158847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161.16 - 13300.16. Let w = 13138.910897 + c. Let r = w - -0.089. Round r to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10293198551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 5)*(-2)\/(-4). Suppose 2*r + 4*r = m. Suppose z = 2*c - 2*z - 15, -3 = 2*c + 3*z. Solve r = -c*s + s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -184, -285?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 6*s - 4. Let w be f(5). Which is greater: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 - 2 = 0. Let v(k) = 1. Let t(m) = -2*m - 8. Suppose 0 = 5*s + r - 26, -4*s - 5*r + 10 = -15. Calculate h*t(c) + s*v(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 11\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.4 - -27. What is the biggest value in 9, -4, j?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k**2 - 8*k - 8. Let b be m(5). Solve -7*f - 4*o = -2*f + 5, 0 = -4*f - b*o + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8426 - a?\nAnswer: 841c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 154 (c) 0.6 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 7*w - 4. Let r(m) = -m**3 - 2*m - 1. Let x(q) = -2*q**3 + 22*q**2 + 4*q - 38. Let j be x(12). Let k = j + 280. What is k*z(t) - 7*r(t)?\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q = 3*t + 71*q - 64, -t + 38 = -2*q for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 156.576 months?\nAnswer: 0.13048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4817548 and 53\/860.\nAnswer: 24087740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1795?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 1. Let d be 18\/(-63) + 23\/z. Suppose -1 = 4*k + d*r, -k - 5*r = -6*k - 10. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10226676 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 341, 117, 3, -8 in descending order.\nAnswer: 341, 117, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5592739 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*u + 131 - 131)*(-1 + 3 - 1).\nAnswer: -180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 929 - 927. Put z, 1, -14 in decreasing order.\nAnswer: z, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 62860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-14 + 533\/39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + k + 8, -2*a + 8 + 6 = -4*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + 1 + 3*o. Suppose -i = 4*c + 8, -5*c - 12 = 2*i - 5. What is the remainder when 22 is divided by p(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12478?\nAnswer: 2, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3) - (-68)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27)\/((y\/y**(-8))\/y*y))\/(y\/y**(1\/33)*y)**(30\/7) assuming y is positive.\nAnswer: y**(-36415\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 97209*m + 10240020.\nAnswer: -3*(m - 32508)*(m + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1498 + 4*q**2 - 3*q**2 - 1502. Let r(g) = -g**2 - g + 5. Determine -4*r(l) - 5*w(l).\nAnswer: -l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*p + 45, 3*p + p = 4*a + 28. Suppose -2*d = p, 0*q = -q - d + 62. Let x(c) = 26*c - 17. Calculate the remainder when q is divided by x(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let h(c) = -6*c + 36. Let q(v) = -h(v) - 2*s(v). Let i(a) = 2*a**2. Give i(q(d)).\nAnswer: 32*d**2 - 448*d + 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 3146976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 6*v**2 - 3*v + 12. Is y(7) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20056.00096 - 20069. Let g = p + 13. Round g to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(18\/5))**(-20)*x**(27\/2)\/((((x*x**8)\/x)\/x)\/x*x) assuming x is positive.\nAnswer: x**(-131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66853559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -172856 - 50008 - 139872. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 288071 (b) -0.4 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*k**6 - 461*k**4 - 110796*k**2?\nAnswer: -7560*k**3 - 11064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + 1 + 1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65915 + -857503\/13. Which is smaller: -46 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:21 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/40*(-12 + 2352\/176)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 1262, 1565, 1866, 2165, 2462?\nAnswer: 2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13347, -26643, -39961, -53313, -66711, -80167, -93693, -107301?\n\"Answer: -2*k**3 + k**2 - 13285*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljjj when four letters picked without replacement from lllljljlljljjjllllj.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by 21994\nAnswer: -500\/10997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, c: 6}. Give prob of picking 1 c and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 10. Let v(w) = -w - 9. Let g(u) = 4*v(u) + 3*y(u). Is 7 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 172.\nAnswer: -3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 1335*r - 23 + 6502*r + 11 as k*r + h and give k.\nAnswer: 5167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1346\nAnswer: -2\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 3518152?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 35. Let g be 1\/s*(5 - 11). What are the prime factors of 4\/((-12)\/(-207)) + g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s = -115*s + 58*s + 69 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 22 = 2*l, -5*l - 79 + 134 = -5*o for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23674646 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let g(s) = 2*s. Let i(l) = 5*f(l) + 3*g(l). What is i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*s + 19, 1098*p - 14 = 4*s + 1093*p + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111, -75, -37, 3, 45?\n\"Answer: c**2 + 33*c - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*w**4 - 2*w**3 - 165*w**2?\nAnswer: -3432*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(-2) + (2 - 11) + 0 + 15113\/1778.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 - 576\/(-27)) + 4\/6 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from {q: 4, t: 11, u: 2, i: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4230188*k + 4230192*k - 7*k**2 + 4*k**2.\nAnswer: -3*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 503\/4*v**2 - 199*v + 99 + 1\/4*v**4 - 26*v**3 = 0. Calculate v.\nAnswer: 1, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435.88 - 475. Let v = i - -43. Let l = -0.12 - v. What is the closest to 1.2 in l, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 8135544*m**2 - 24406605*m.\nAnswer: -3*m*(m - 2711845)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f + 7. What is a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 230989 - 62?\nAnswer: 230927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m + 5*m**2 + 22*m - 12*m.\nAnswer: 5*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 17940.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/60 - 1601*t**4\/24 - 335*t**3\/6 + 1769*t**2. What is the first derivative of n(a) wrt a?\nAnswer: -2*a - 1601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80855, 80089, 79323, 78557?\n\"Answer: -766*u + 81621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305 - -305. Suppose 8*r - 485 - 403 = t. Let m(n) = -2*n + 11. What is the remainder when r is divided by m(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -285067\/14 + 40733\/2. Factor -48\/7*r**2 + 0 - a*r - 10\/7*r**3.\nAnswer: -2*r*(r + 4)*(5*r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -115, -105, -89, -67?\n\"Answer: 3*m**2 - 5*m - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 16. Is (0 - -20)*5\/j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/(-2*sqrt(4))) + 5.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 1, e: 1, p: 1, w: 1, g: 1}. What is prob of sequence vzw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 189*i = 1335 + 877 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 - d**3 - 3*d**3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*w**4 - 973*w**3 + 173*w**2 + 669*w + 180.\nAnswer: -(w - 1)*(w + 20)*(7*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(833) - sqrt(833)*-2)**2.\nAnswer: 14994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 + (2 - 2))) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0 + -4 - sqrt(153) - (sqrt(153) + -4 + sqrt(153) + -2 + sqrt(153))**2 - -1*(5 + sqrt(153) + 0 + -1 + sqrt(153))) + -5.\nAnswer: -1418 + 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004252389 to seven dps.\nAnswer: -0.0000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-18)\/120 - 56\/(-10). Suppose 3*t + 19 = -w + 16, 4*w + o*t = 23. What is the highest common divisor of 132 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let v(w) = 123*w**3 + 2*w**2 + w. Calculate -v(k) + 2*x(k).\nAnswer: -123*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 258*g - 91*g - 136*g. What is v(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 14817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 - 0) + 2 - (2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -1, -3 in ascending order.\nAnswer: -7, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18693\/1870 + -18\/187. Let v = -5977 + 59889\/10. Calculate the common denominator of u and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 132. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 10*o - 7*o - 2*o. Let l(p) = -2*p. Determine l(s(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 5. Let d be s(-6). Find the second derivative of -d*f + 67*f**4 - 9*f - f - 51*f**4 wrt f.\nAnswer: 192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, 10, 7, -1645 in ascending order.\nAnswer: -1645, -185, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.281265 to 3 dps.\nAnswer: -0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k - 5*f + 124, -3*f = -15. Calculate the remainder when 87 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2227005*r**2 - 2227005*r**2 + 69*r**3.\nAnswer: 69*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11\/5 + (479\/15)\/(458\/6 - 76)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3729 - 0.8\nAnswer: -3729.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2124397675 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3907, 3908, 3909, 3910?\n\"Answer: m + 3906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -15, d + 3*d = -5*b - 333. Let v = d + 974. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031031 (base 4) in base 13?\nAnswer: -4162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2155*z - 231103 + 231103)*(1 + 1 - 4)*(0 + 0 + 1) as j + t*z and give t.\nAnswer: -4310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -777, -2511, -5401, -9447, -14649, -21007, -28521?\n\"Answer: -578*p**2 - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8691, 8657, 8599, 8517, 8411, 8281?\nAnswer: 8127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*c + 5, 10 = -3*p - 2*p. Let d = 319439 + -319436. Sort d, c, -8, -1\/11 in decreasing order.\nAnswer: d, c, -1\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197029 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 5 + 25 + 13 + 0 + 5*s**2.\nAnswer: 8*s**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, 1 d, and 1 m when four letters picked without replacement from {o: 1, j: 1, m: 2, d: 1, f: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, m: 1}. What is prob of sequence mz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -30*c**3 - 5*c**2 + 5*c - 17. Let a(r) = r**2 - r - 2. Let y(k) = 3*a(k) - m(k). Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -326*d + 45303. What is v(139)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 4*d - 6*d - 20*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a. Let d(w) = 18 + 2*w**2 - 18 - 9*w**2. What is o(d(s))?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -45*g**2 + 16*g. Let l = 542 + -538. Let q(i) = 3*i**2 - 11*i + 7. Let u be q(l). Let p(x) = -9*x**2 + 3*x. Calculate u*p(k) - 2*v(k).\nAnswer: -9*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3956 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**6 + 0 + 0*h**5 + 5\/21*h**7 + 8*h + h**3 + 0*h**2 + 0*h**4. What is the second derivative of a(z) wrt z?\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*r + m, 119*r + 5*m + 26 = 120*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 22 + f**2 + 0*f + 0*f as u*f + c + w*f**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.38 - -51.38. Is 0 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062063 rounded to five dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qoonqqooo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -999727 times -14\nAnswer: 13996178","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 704*k = 687*k + 3*i + 45, 3*k - 15 = -3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3)\/(3 - -1). Suppose q - 19 - 23 = c. Suppose 0 = 2*n + 2*i - 14, 0*n + 3*n - 4*i - q = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-198)\/11)\/(1 + 91\/(-89)). Suppose -h = -5*g + 554. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*(-5)\/120)\/(-1). Let j = 40\/3 - 310\/21. Let r = 139.1 - 139. What is the nearest to r in s, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -8)*6\/4. Suppose t + n*a = 6*t - 995, 0 = -a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2559, -2577, -2621, -2703, -2835?\nAnswer: -3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 13341.\nAnswer: 13341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -0.63.\nAnswer: 4.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 - 2*z**3 - 4*z**3)*(-9 + 9 + 3*z) to the form b*z**3 + x*z**4 + g*z + q + c*z**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4364 = -688. List the prime factors of m.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9387969*o*t**2 + 262520895*o - 3*t**3 with respect to t.\nAnswer: -18775938*o*t - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:33 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = 4*s, 6*q - 5*s - 25 = 2*q. Suppose v = -2, v = x - q*x + 37. Let y = 94 + x. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/5 + 1002*i**3\/5 - 23384*i**2.\nAnswer: -2*i**2*(i - 316)*(i - 185)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.9 - 10. Let o = r - -4.1. What is the second smallest value in 1\/3, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 10:21 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 - ((-15 - -32) + -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*g - 663*g + 1967*g - 632*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*4748\/6. Let o = 806 - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + t. Let i be p(-1). Suppose -5*h + i*h = 0. Suppose -k + 4*k - 48 = h. Solve -3*f = f + k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/15)\/(2\/15). Let i = -8 + -5. Let x = i - s. Solve 4*k + 3*v + 2 = 0, x*k + 14 = k + 3*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*100\/(-180)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b1?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 61 = -5*f, 2*f - 24 = 2*n - 4. Let r be (-2)\/(-5) - (-493)\/5. Calculate the greatest common factor of r and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from bjjvbvvvbvbb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26305 (base 8) to base 14.\nAnswer: -4269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 + 4*u**3 + 6*u**2 - 4*u + 5*u + u - 3*u**3. What are the prime factors of y(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5351 = 3*w - 3*m - 5035, -5*m - 13846 = -4*w. Suppose 5*v + 3*z + 1937 = 5405, -5*v - 4*z = -w. What are the prime factors of v?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Let y(k) = -96*k + 3. Let z be y(a). Let v = z - -496. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9088 + 9105. Let g(x) = x**2 - 18*x + 6. Determine g(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4605051.3 to the nearest ten thousand.\nAnswer: 4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1981\/(-35) + 2\/(-5). Let m = -30 - q. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 234 - 2 = -74 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 2*q**2 - 3*q**2)*(-4 - 1 - 1) - 2*q**2 - 9*q + 9*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36738965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -0.17, -0.2, -1\/2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 23 (c) 8174.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/42 and 143\/6804.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, 0.5, -0.08, 0.4, 1\/7.\nAnswer: -0.24, -0.08, 1\/7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:12 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -32, -56, 0, 12 in decreasing order.\nAnswer: 12, 0, -24, -32, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.08 - -0.08. Let c be ((-2)\/16)\/(6\/12). What is the third biggest value in 4, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -4260272?\nAnswer: 4260280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-4635))\/(-150*1\/(-500)).\nAnswer: 6\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2943 divided by -1.\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, 0, -89 in decreasing order.\nAnswer: 4, 0, -4, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794.425157 nanoseconds in weeks?\nAnswer: 0.0000000000029669728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osota. What is prob of picking 2 o and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 112*c**3 + 5*c**2 + 12. Let v(q) = 56*q**3 + 3*q**2 + 7. What is -5*v(j) + 3*x(j)?\nAnswer: 56*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36145841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168342\/7 or -24049?\nAnswer: -24049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 1 + 5. Let c be (-1)\/4*-14 + k. Suppose -3*w + 2*w - 2*t - 3 = 0, 3*w + 2*t + 1 = 0. Is c > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.72 + 0.32. Let m = t - -3.2. Sort -1, m, 6\/11, 7 in decreasing order.\nAnswer: 7, 6\/11, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 + 685. What is the remainder when 2566 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1313 - -22318\/17. Which is the third smallest value? (a) -1.5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3532806, -3532836, -3532866?\n\"Answer: -30*j - 3532776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 + -228 + (17 - 123).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 243*k**2 - 236*k - 343. Give p(80).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 1. Let k(g) be the second derivative of -g**2\/2 + g. What is 3*k(i) + x(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 - g + 2. Let c be f(-2). Let q be (-63)\/6*8\/(-3). Solve -5*w + 2*k - q = c*k, 5*w = -k - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p**4 + 2*p**3)*(-1 - 3 + 6 + (4 - 3 - 2)*(-4 + 1 + 1) + (-5 + 3 + 4)*(-7 + 4 - 6)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndi when three letters picked without replacement from {i: 4, d: 1, n: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04067501 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 15. Let b be (54\/(-24))\/9 + 314\/g. Suppose -b = -3*j + 6. Solve -7*l = -2*l + j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26520 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/297 and -31\/72?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 - 1)*(3*q**4 + 0*q**4 - 2*q**4)*(4 - 4 + 2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1456 (base 9) to base 15\nAnswer: -4d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159091 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 - 13312*r + 66329. Give v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let q(g) = 2*g**2 + 25465381*g. Determine f(q(p)).\nAnswer: 2*p**2 + 25465381*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x - 25*x**2 + 6*x**2 + 12*x**2 + 8*x**2 + 21. Let f be h(7). Let s = 651 - 646. Solve s*w + 22 + 3 = f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 12.59.\nAnswer: 62.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**2 - 10*w**2 - 35*w**3 + 32*w**2.\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccfffcff. What is prob of picking 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-32) - 6) + 6. What is the nearest to -2 in -13, -0.3, -2\/9, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 44 = 3*t, -61*d = -62*d - 2*t. Let p = 7 + -4. Let x(r) = -4 + 0 + r + p + 10. Calculate x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384636?\nAnswer: 2, 3, 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*f**2 - 1111*f**2 - 894*f**2 + 4191*f**2 - 1010*f**2.\nAnswer: 199*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3 + -10 + -1 - -14) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 2)*(-2*n**3 + 4*n**3 + 0*n**3) - n - n**3 + n + 6*n - 5*n**3 + 5*n**3 + 2*n**3 as i*n**2 + b*n + x*n**3 + m and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {y: 6, n: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 1)*(2*o**2 - 3*o + 3*o) - 28*o**2 - 19*o**2 + 28*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-14 + 7 - (-8 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/6*30429\/(-5313)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7295 - 4*t + 5*t - 3*t + 7249. Let r(d) = -4*d. What is p(r(x))?\nAnswer: 8*x - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) - sqrt(245)*4*-4) + 3 + -2 + sqrt(245) + -4 + (sqrt(245) + -2*sqrt(245)*3)*1)**2.\nAnswer: -588*sqrt(5) + 48029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999039486?\nAnswer: 2, 17, 58795279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/7 + 212*i**4\/7 + 374*i**3\/7 - 4332*i**2\/7 + 3744*i\/7 = 0.\nAnswer: -104, -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and 425180.\nAnswer: 42518000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29825 and 1400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 998*c**2 + 88*c**2 + 26327 - 26325 to the form p*c + h*c**2 + q and give h.\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {s: 8, p: 2, x: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10 - 120\/(-150)) + 512\/(-448).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -6 - (3 + -3 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -96.96.\nAnswer: 9.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a + 61. Let j(o) = 65*o + 306. Calculate 2*j(c) - 11*t(c).\nAnswer: -2*c - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*x - 5, 2*y = -2*y + 3*x + 11. Suppose -y*a + 14 = 12. Sort -1, a, 0 in increasing order.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.047 + 18.953. Let g = d + -21. What is the nearest to g in -4, -6, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*j - 69 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - o - 2. Let y be h(2). Let a = 3 - y. Let s(w) = -w + 6. Is 11 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 50.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-3))\/((-2)\/6). Let d be q\/25*-5 - 2. Let j be (0\/5 + d)\/(-2). What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1260 + 96 = 2*g, 2*t - 872 = 4*g. What is the remainder when 472 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b**2 + 381*b + 746. Determine k(31).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1847145 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - z - 25, w + 3*w = -z + 35. Let v be w\/(-25) - (-5 - (-316)\/60). Sort v, 0.4, 2\/7 in ascending order.\nAnswer: v, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701 less than 53603\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**8\/36960 - u**7\/3465 - u**6\/360 - u**5\/110 - 25*u**4\/24 + 14*u**2. Let v(d) be the second derivative of m(d). Factor v(t).\nAnswer: 2*(t - 6)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4221 and 195?\nAnswer: 274365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*4\/(-5). Suppose 34 = 3*y + f - 9, n*y = -5*f + 7. Let r = 24 + y. What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by 4686.\nAnswer: 35\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -69. Which is the smallest value? (a) -0.2 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 0*z)*(-5 + 3 + 1) + (1 + z - 1)*(3 - 1 - 1) + (-1 - 1 + 0)*(0*z + 3*z - 5*z) - 6 + 8*z + 6.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2\/21*o**3 + 1\/14*o**4 + 94 - 6\/7*o**2 + 0*o. Factor n(r).\nAnswer: 2*r*(r - 3)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/14 + (-4)\/14. Suppose -p = r*p - 20. Suppose -p*m = -2*m - 10. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88981 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-24))\/((-15)\/30). Which is the second smallest value? (a) -2\/3 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 208.5217?\nAnswer: 208.5217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165.18 + 176.18. What is the nearest to 8\/3 in g, 4, -11, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.18 and -25?\nAnswer: 21.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**3 + 3*t - 2. Let m be o(1). Let r = 54 + m. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 18*v**2 + 39*v - 75. Let x be m(-15). Solve -5*y - x*c = -16*c - 24, 0 = y - c - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 54\/111349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29029995 and -2.\nAnswer: -58059990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1109104 - 313980 = 12568*k - 205467 + 391087 for k.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -5 (c) -18 (d) 2\/9 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20716354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805*f**5 - 23321645*f**4 + 36819515*f**3 - 4714835*f**2 - 7751320*f - 1033520 = 0. What is f?\nAnswer: -4\/19, 1, 12919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, -0.1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5\/u*(u\/(u**(-1)\/u))\/u)\/(u**(-1))**(-18\/13) assuming u is positive.\nAnswer: u**(73\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -521*j**4 + 11*j + 214. Let r(y) = 1563*y**4 - 31*y - 643. Let c(p) = 17*m(p) + 6*r(p). What is the second derivative of c(s) wrt s?\nAnswer: 6252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269314239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.5, -70\/3, 1, 2 in increasing order.\nAnswer: -70\/3, -0.5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (119\/49 - 3) + 1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0*p + 0*p - 5*p**2 - 2 + 2 + (4*p - p - 2*p)*(-36 + 20*p + 36).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 11*r - 7. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472511?\nAnswer: 3, 490837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -816, -1208, -1598?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**25)\/q**(-43))**(1\/29) assuming q is positive.\nAnswer: q**(19\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337134, 337126, 337118, 337110?\nAnswer: 337102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 117175.\nAnswer: 3\/117175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -263 times -0.46\nAnswer: 120.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -401*q**2 + 2*q - 1. Determine t(-1).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -3. Suppose 43 - 37 = 2*r. Let m(k) = -k**2 + 13*k - 32. Let h be m(r). Sort 2, c, h in decreasing order.\nAnswer: 2, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:40 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-152031)\/14905*((-40)\/3)\/(-4)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-48) + 27\/(-72). Solve -4 = -2*v - n, -3*b = 4*v - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 569 = b, 5*m = -b + 43 + 532. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 + 40*g + 7. What is p(9)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/88)\/((-4)\/(-32))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581890156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let m(f) = 6924*f. What is m(i(o))?\nAnswer: 6924*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3531 divide 182012457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(30\/20)\/(8\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-3345))\/((-2)\/5). Let y = x + -211\/1338. Let o = -4.84 + 1.84. What is the nearest to o in y, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223392132?\nAnswer: 2, 3, 173, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55259 (base 10) to base 3\nAnswer: -2210210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m**3 + 2*m + m)*(1 + 10 - 8).\nAnswer: -12*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -69 (b) -12 (c) -3\/11 (d) 2 (e) 5.6 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*(p**5\/p*p)\/p*p*p))*p*p*p*p\/p**6*(p**(-1\/2)\/p)\/(p\/((p**(-1)\/p)\/p)*p) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24234961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p + 98*p**2 + 1 + 21*p - 99*p**2 - 12*p. Let c(q) = 5*q**2 - 13*q - 12. Let g(v) = v + 1. Let o(k) = -c(k) - 6*g(k). Determine -6*a(m) + o(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let a(d) = 10151*d + 8637*d + 2 - 7926*d + 7804*d. Let f be a(l). Round f to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -118704, -1, 5 in increasing order.\nAnswer: -118704, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 + 88*j**2 - 19*j - 25. List the prime factors of i(-12).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 7*d - 25. Let u be z(-10). Sort 4, u, 3 in descending order.\nAnswer: u, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -39*i**3 + 2*i**2 + i - 40. What is the hundreds digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17ba10 (base 16) to base 11\nAnswer: 9722a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let u(g) = 4*g - 516608. Give n(u(j)).\nAnswer: 4*j - 516608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 3*k - 195, k = -2. Let j = -86 - -57. Let q = j + l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/45)\/(-2*6\/36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 15281*w**3 - 58369599*w**2 - 58384881*w.\nAnswer: -w*(w - 7641)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 6. Let u be k(9). Suppose -3*a = -u - 3. Determine s so that -2*s - a - 4*s**2 + 3*s**2 + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76254 and 68736.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*u + 2*u. Let l = -1 - -12. Let g = l - u. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + 1056. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2\/15*h**5 + 2\/9*h**3 + 0*h**4 + 0*h + 0*h**2 - 5. Factor r(c).\nAnswer: -2*c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 154, -2, 4, 18808 in ascending order.\nAnswer: -5, -2, -1, 4, 154, 18808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 19*l - 415. Determine q(-29).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.5 from 372906147682.\nAnswer: 372906147678.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 14*j**2 - j - 14. Let a be q(-14). Suppose 2*p + 5*c - 1 = a, p - 1 = -4*c + 2*c. Suppose x - 3 - 1 = 0. Put -4, x, p in decreasing order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-43)\/(v\/(v*v**(2\/5)))**(2\/107)*(v**(2\/7))**(2\/87)*(v**(-1\/2))**(-1\/16) assuming v is positive.\nAnswer: v**(897115127\/10426080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Suppose n*y + 3 = 23. Let d(l) = 2*l + 2. Let m(t) = 558 + 2*t - 553 - 5*t + 9*t. What is y*m(j) - 11*d(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -6*f. Suppose 4*o = -2*p - 0*o, 5*p - 3*o - 39 = f. Let b = 0 - -8. What is the smallest common multiple of b and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212808 divided by 6?\nAnswer: -35468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i - 13*i - 2*x + 1, -5*i - 37 = -4*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 19 = 29. What are the prime factors of (7 - 2)*-29*b\/30?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1902 = -34*f + 19314. Does 104 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 2. Let m be v(-4). Let h = 1684 + -1685. Sort h, 4, m, 2 in increasing order.\nAnswer: h, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312034 <= 312034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4925107 divided by 11?\nAnswer: -447737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1139 by 4905.\nAnswer: -1139\/4905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 14.6. Let r = h - 10. Put -0.3, 5, r in ascending order.\nAnswer: -0.3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13039000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4645735 to the nearest integer?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -82. Suppose 9*x - c*x = 42. Let d(a) = a + 2. Let w be d(-2). Solve w = -v, -4*v + 5 = 3*g - x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 10 = 4*w, 2*m + 74 = 2*w + 44 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*x + 3, -5*p + x + 15 = -x. Let l(c) = c**3 - 2*c**2 - 1. What is the units digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98491*o**2 + 50657*o**2 + 53723*o**2.\nAnswer: 5889*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 157.7 times -0.054\nAnswer: -8.5158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 109.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -370319, 0 in ascending order.\nAnswer: -370319, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c, c + 1 = 2*f - 4. Suppose -2*k + f = -6, -2*k = 4*v - 682. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**3 - 25*p**3 + 5*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 29) + (3 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 11) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - -13c?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -1, -4, -5 in increasing order.\nAnswer: -5, -4, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2\/3, -0.15, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -5*f**3\/6 - 3*f**2 + 3*f. Let m = 69 + -14. What is the remainder when m is divided by u(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*a - 4, 0*a - a - 3 = -3*p. Suppose -p*n - 5*s - 4980 = 0, 0 = n + 4*s + 1914 + 570. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -1 + sqrt(272) + sqrt(272)).\nAnswer: -6 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p. Let y(d) = d - 11. Let g(j) = -3. Let b(l) = 1. Let r(t) = -b(t) - g(t). Let f(n) = 11*r(n) + 2*y(n). What is v(f(u))?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 - 100\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -8 - (7 - 2)) + 14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -0*f. Let c = f + 0. Calculate the remainder when 7 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114012066 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228.7464 + -0.4464. Let s = 228 - d. Which is the nearest to -2\/3? (a) -2 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832))**2 + sqrt(13) + 1*sqrt(208) + sqrt(13).\nAnswer: 6*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 1\/12*q**4 + q**2 - 1\/3*q**3 + 0*q + 1\/15*q**5 - 1\/120*q**6. Is g(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n*n**(4\/9)*n)*(n\/(n**(3\/4)*n))\/n*(n\/n**(1\/2))**(-23))**(21\/4) assuming n is positive.\nAnswer: n**(-4207\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-18)*18\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 7. Let s be (-2)\/(2 + c - -3). Sort 2, 5, s in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*(-4949)\/(-10605).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 17308.\nAnswer: -34616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*7024\/(-168). Let k = 63 - w. Let o = 23\/33 + -4\/11. Sort k, o, 0 in descending order.\nAnswer: o, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594, 603, 612, 621, 630?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74752989 take away -0.05598?\nAnswer: -74752988.94402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 + 55 + -47?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191934817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -181. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(4\/(-15))\/(-2). Let g = -9 + 5. Let d = g + 0. Which is the third smallest value? (a) 1\/6 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22318948 and 33\/156232636?\nAnswer: 156232636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28386 + -17287. What is g rounded to the nearest 100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = 25. What is the highest common divisor of 51 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1736 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, d: 2, p: 1, l: 1, y: 1, f: 2}. Give prob of sequence ltpy.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4. Which is the third smallest value? (a) -2\/9 (b) k (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1360 and -29\/29240.\nAnswer: 58480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + o. Suppose -4*p + 4 = -4*b, b + 10 = 5*p - p. Let m(i) = 4*i**3 - 2*i**2 + 2*i. Give b*l(k) - m(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.09 + -0.09. Let w be 12\/75*(-20)\/(-24). Which is the nearest to -1\/2? (a) v (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40 - 199*b - 1126*b**4 + 2367*b**4 - 189*b + 385*b + 1751*b**4 wrt b.\nAnswer: 35904*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (88\/(-10))\/((-9536)\/320). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9960 by 15.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 19, 25, 31, 37, 43?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmv when four letters picked without replacement from mvvvvmmmmvmvvvmmvvm.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))**(1\/3) assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32449, 129761, 291951, 519025, 810989, 1167849?\nAnswer: 1589611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 10*w + 10. Let i be d(11). Let t = -21 + i. Let y be -14*(2 - 3) - 12. Solve g = -t*g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, -67, -59, -39, -1?\n\"Answer: v**3 - 3*v**2 + 4*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:58 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4 = -u, -3*u = -f - f + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80803 minus 1588573?\nAnswer: -1507770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from ogjgoooooojgoogogog?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*x = 0, 2*x + 3 = p - 5. Suppose 0 = 2*v + 5*z - 5, -v - 5 = z + p*z. What is the highest common divisor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-40)*(-40 + -2) and ((-77)\/(-308))\/((50\/(-102))\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*w - c + 16, 2*w = -5*c + 22. Let t = w + 1. Suppose -t*j = -3*j + 9400. What is j rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*x**3 + 1013*d**2*x - 3*d**2 - 2*d*x**2 - 272*x**3 - 83*x wrt d?\nAnswer: 4*x**3 + 2026*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -4)\/(9 + -16). Which is the closest to -0.1? (a) u (b) -0.1 (c) -2\/15 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.46 and -272203.807.\nAnswer: -272204.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.56 + 2. Let q = 0.27 - -0.23. Let u = h + q. What is u rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 13*j**2 - 4*j + 3. Calculate the remainder when 275 is divided by w(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 199 = -109. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 14*z = 39. Suppose -4*a + 4*m + 28 = 0, -z = -a - 2*a - m. Suppose -a*n + s = -0*s + 105, 3*s = 0. Do -21 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*(-9 - -7). Solve 5*t + 17 = -3*b + 7*b, -u*b - 5*t = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(36)\/(sqrt(18)\/sqrt(3)) - sqrt(96)*6)\/((sqrt(48)*2 + sqrt(3))*-2).\nAnswer: -1 + 23*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(704) - (sqrt(704) - sqrt(704)*-2) - sqrt(11)) + (-2*sqrt(121))\/sqrt(11))*-3)**2.\nAnswer: 571824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9739 - -9738.9999866665. Round l to 7 decimal places.\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 33. Let b = p - -30. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4442004 + -10?\nAnswer: -4442014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 4*w + (-20*w + 23 - 23)*(-6 + 4 - 3) to b + k*w and give k.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8498, 8513, 8530, 8549, 8570, 8593?\nAnswer: 8618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - a + 5*a - 8*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.04 (c) -322 (d) 21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11713 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100196170 to the power of 1\/2, to the nearest integer?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-17)\/((-357)\/(-378)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 45. Let j be ((-60)\/8)\/5 - z\/(-2). Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2234666 to two dps.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.535 - -0.235. What is the smallest value in z, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 + 8*s**2 + 21*s**2 + 4*s**2.\nAnswer: 43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15488.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 5*k + 54. Give d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 0.2 (b) -513 (c) -1\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 16 + -130 - (8 + -38)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0545 + 3.9945. Let m = -2.94 + t. Let l(g) = g**3 + 6*g**2 - 2*g - 7. Let j be l(-6). Which is the biggest value? (a) -2\/17 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 - 8*p**2 - 815*p + 39 + 814*p.\nAnswer: -8*p**2 - p + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87*b - 124 wrt b?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 218\/(-3924) + ((-4)\/18)\/(2 + 0). Which is the closest to 1? (a) l (b) 2\/17 (c) -0.11 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 64, 98, 134, 172, 212?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**2\/2 - 47*p. Let c(g) = -g. Calculate -2*c(t) - 3*k(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -61481 divided by -2?\nAnswer: 61481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 = -11*g + 5*l - 283, -3*l = -3*g + 2*l + 9 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 - -2.77. Let c = -0.3 + z. Let m = -52.5 + 52. What is the second smallest value in 0, c, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, i: 5, j: 10, d: 1, r: 1}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1613*a + 530740 = -9078*a - 78647 for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/2))\/x**(4\/3)*x*x*x**(1\/4)*x**(-5) assuming x is positive.\nAnswer: x**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18*4\/88*-6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2629452kg in grams?\nAnswer: 262.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 125. What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)*h*h*h**(-20)*h*h*h)**(-47) assuming h is positive.\nAnswer: h**(4747\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 492.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3601026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -57. Let c = -13 + w. Suppose 0 = 2*a + 3*k + c, -4*k - 19 = -3*a - 0*k. Let l(y) = -8*y**3 + y**2 + y - 1. Give l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-12) - 166\/249. What is the nearest to -2 in -1\/5, p, 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -2. Calculate the lowest common multiple of g and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b84bb34 - 2?\nAnswer: 1b84bb32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let y(j) = -j**2 - 3*j + 11. Let v(m) = -4*q(m) + y(m). Suppose -27*h = -14*h. Calculate v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 p when three letters picked without replacement from {p: 1, y: 2, m: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - 54\/24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 e, and 1 o when four letters picked without replacement from olmmeem.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -510 + 498 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23369748 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -69822.\nAnswer: 2\/34911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310*30\/3300*-11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 159 (b) -4 (c) 0 (d) 0.04 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 73 + 0*a + 7*a - 14*a in the form x*a + g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-16) - (-3)\/2. Solve -d - a*m + 5 = 0, 2*d - 3*d + 2*m = 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*l + 40, 26 = -4*s - 3*l + l. Let z = s + 15. Suppose -7*t + z*t = 12. Solve -3 = 3*w + 2*c + 3, w + 4*c + t = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + m - 5 = -2*z, 5*m = -z + 25. Let u = z + 5. Let d = 0.3526 - 0.0526. Which is the smallest value? (a) d (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13874 = 198*f + 10706 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/11, 1\/5, 2, -0.2, 0.1, -24396?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:17 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) -1537 (d) -1.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 3*t + 14. Let x be o(5). Let c(n) be the first derivative of n**2 + 1\/3*n**3 - 5*n + x. Calculate c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012310 divided by 7787\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 106 (b) -8 (c) 0.02 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 698*h - 13984.\nAnswer: 2*(h - 19)*(h + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 10*f - f**3 + f**3 in the form k*f + x*f**2 + v + r*f**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 471749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c - 46. Let b be u(-3). Calculate the greatest common factor of b and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -24\/43?\nAnswer: -24\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*i - 1 = 0, -2*i + 4 = 5*l - 3. Suppose 7 = 4*b - f + 4*f, l*b - 21 = 3*f. Let c(m) = -m - 6. Let d(s) = -1. What is b*d(p) - c(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 199*u - 3938. Calculate a(19).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -24894*t - 1219807. Calculate m(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 2485?\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4239*j - 4662*j - 12690 = 0 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17604875 and 16375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 0.7, 17, 391, 4\/3 in increasing order.\nAnswer: -1, 0.4, 0.7, 4\/3, 17, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195418 is divided by 3312?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -3*c, -5*c - 10 = 3*x - 0*x. Let l(o) = -o**3 + 10*o**2 - 10*o + 13. Let z be l(9). Sort c, 3, z in decreasing order.\nAnswer: z, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22974.\nAnswer: 2, 3, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose o*p + 0*p = 18. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953780613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 + 11 - 21 + 27406*o.\nAnswer: 27406*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 207\/(-45) + 5 - 82\/5. Sort -2, f, -2\/3, -1 in decreasing order.\nAnswer: -2\/3, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 3.0603.\nAnswer: 6.1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410*u**3 - 13*u**2 - 98*u wrt u.\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*-3*sqrt(2352).\nAnswer: -84*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228703697.\nAnswer: 23, 37, 268747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:01 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 20. What is the remainder when 20 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 4, t: 1, g: 2, d: 12}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3636.9 - -3637. Which is smaller: -3187 or m?\nAnswer: -3187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -3 - (-1 - ((117 - -3) + -13))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -56*s + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**8\/5040 - b**7\/504 - b**6\/180 + b**5\/20 - 3*b**2. Let a(l) be the third derivative of t(l). Let a(v) = 0. Calculate v.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 268*m**2 - 1 - 454*m**2 - 2*m**3 - 8*m**4 + 219*m**2 in the form r + d*m + l*m**2 + y*m**4 + n*m**3 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2454 = 5*q, -4*y = 2*q - 3*y - 983. Suppose -64 = -5*n + q. What is the remainder when n is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**3 + 0*i + 0 - 2\/3*i**4 + 4*i**2. Let y(v) = -v. Determine y(c(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -416400 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 5 (c) -0.8 (d) 1\/4 (e) -1 (f) 1117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4 + 2*m**2 - 18. Factor j(i).\nAnswer: -4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffbfqzfbzff. Give prob of sequence zfb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(9\/2)\/(((c*c**(1\/9)\/c*c)\/c)\/c*c)*(c*c**(-1))\/(c**(-1\/8)\/c))**(2\/7) assuming c is positive.\nAnswer: c**(397\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -52 + 5 + 22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 59894, -5, 4, -3, 3, 5, -6 in descending order.\nAnswer: 59894, 5, 4, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 16 = 2*x - 2*m, 5*x + 4*m + 23 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(3\/4)*v))\/(v*v\/(v\/v**5)))\/(v**(1\/6)*v*v**(1\/2)\/v*v)*v**(-4\/7)\/v**0*(v\/(v\/(v**1\/v)*v*v))\/v**6 assuming v is positive.\nAnswer: v**(-1511\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15)*5)\/(5\/(-45))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Let b = -0.5968 + 0.3668. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 57*a - 4. Let q be r(-5). Let j = 3 + q. Let z = j - -1219\/4. Find the common denominator of -83\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1101 (b) 2 (c) 1755 (d) 0.5 (e) -2\/15 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 11 (c) -0.08 (d) -1\/28 (e) 4 (f) -0.03 (g) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144 - 42*i**3 - 36*i**3 + 38 - 47 + 19*i**3 wrt i.\nAnswer: -177*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6998 + a?\nAnswer: -698d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -37 + -8 + (-2 - 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -45\/2*u**2 + 0 - 1\/4*u**5 - 5\/2*u**3 + 6*u + 25\/12*u**4. Factor c(y).\nAnswer: -5*(y - 3)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*-2)\/sqrt(11))\/sqrt(3) + 5.\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (-4 - (17 - 31))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023241 to six decimal places.\nAnswer: -0.002324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 33*g**3 + 4*g**2 + 40*g + 5. Let u(o) = 11*o**3 + o**2 + 13*o + 2. Let x(y) = -4*j(y) + 11*u(y). Let m be x(-6). Round m to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:35 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 102*m**2 + 2*m + 3. Let n be f(2). Suppose -15*d + 2575 = n. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 2. Let n(s) be the third derivative of s**6\/20 - 7*s**3\/6 - 5*s**2. Calculate -2*n(m) + 7*y(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7449.687 months to years.\nAnswer: 620.80725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251393 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240266121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeehjejeaeeehahe. Give prob of sequence hje.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 19 = -2*m + 4*m, 3*p = 3*m - 6. Suppose 0*k + 832 = m*k + 2*x, -3*k = -x - 508. Find the common denominator of -4\/7 and 9\/k*4228\/(-63).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - 6. Let g = j - -75. Suppose 5*i - 578 = -5*t + i, 0 = -g*t + i + 340. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 123 = -11181. What are the prime factors of l?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7712908890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7293)\/102 + 69)*12\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 5*o**2 - 3*o**2)*(-3*o**2 - 4*o**2 - 13*o**2).\nAnswer: 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 - (-249)\/(-9). Let o be (63\/3)\/(1\/(-2)). Let h = i - o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6301, -12610, -18879, -25108?\nAnswer: -31297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27622100 rounded to the nearest one hundred thousand?\nAnswer: 27600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, -291, -338, -385?\n\"Answer: -47*d - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15463)\/(-21)*(18 + -3).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/9451 or -4628?\nAnswer: 4\/9451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 114013674 to the power of 1\/2, to the nearest integer?\nAnswer: 10678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*12\/45*99\/(-264)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*t = -2*t - 10, -5*a - 3*t + 7 = 0. What are the prime factors of (-2)\/((-60)\/27 + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-4*1 + -1). Suppose d = p*d. Suppose -3*i + i + n + 28 = d, -2*i + 48 = 4*n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnbnncnnchchhnnfb. What is prob of picking 1 k, 1 h, and 1 c?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 1405, 2176, 2989, 3844?\nAnswer: 4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 88 - 4)*(12 + 9*s - 12) + 4*s - 13*s + 3*s as r + t*s and give t.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 60 + 30. Let r be (-16)\/o*15\/(-10). Which is the nearest to -0.3? (a) 2 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxzzzjzzzxxjxjzx. What is prob of picking 1 j and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*d**2 - 263*d**2 + 445*d**2 - 605*d**2 as a*d**2 + y*d + u and give a.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-80)*(1 - (-6)\/30)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 920, 1820, 2682, 3488, 4220?\n\"Answer: -3*b**3 - b**2 + 924*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**2 + 6. Let m(s) = s**2 - 1. Suppose -5*d - 15 = 0, 5*c = 3*c - 5*d - 17. Calculate c*q(y) - 6*m(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -221 - -2898. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t. Let s(z) = 52*z**2. Give s(h(d)).\nAnswer: 468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4107*v**3\/7 - 25311885*v**2\/7 + 390912*v - 73956\/7 = 0. What is v?\nAnswer: 2\/37, 6163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**2\/2 + 10*n - 5. Let k = 9 + -16. Let p be t(k). Let d(b) = -4*b - 1. Let o(u) = -5*u - 1. Determine p*d(c) - 2*o(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 12*n + 14. Let c be v(13). Is c >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15725 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3452.2826 - 0.2826. Let l = z - 3455.997. Let m = l + -0.003. Put -1, 1\/4, m in increasing order.\nAnswer: m, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/50446 and 97\/18344.\nAnswer: 201784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4, 19.6, -3, -56.2?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -3*d**4\/8 - d**3 - 53*d**2. Calculate the least common multiple of f(-1) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 18)*(-726)\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 4.9?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = 4*m - 3*b, -m + 3*b - 10 - 152 = 0. Let n = m + 362. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6*u - 4 = 7*u, -2*w + 8 = -3*u. Let i = -19 + 27. Let f = 16 - 12. Solve -w = -2*o + h, 5*o - i = f*o + 2*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**4 + 3*z**3 - 30*z**2 - 21*z = 0. Calculate z.\nAnswer: -1, 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-3) - 2 - (0 + -169). Suppose 3*h = 2*h + d. Let j = h - 81. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 + 292. Calculate the greatest common divisor of 782 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460830268.\nAnswer: 2, 365207567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 18*y - 92, i - 6*i + 17*y - 41 = 13*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36008 and 5833939.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -265681, -265452, -265223, -264994?\n\"Answer: 229*p - 265910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 22 = -0*l + 2*u, 3 = -u. What is the tens digit of 2\/((16\/6)\/l) + 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - f - 1 = 0, 0 = 5*y - 4*y - 5*f - 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 16386425*u**2\/2 - 4096606*u.\nAnswer: -u*(u - 8193212)*(2*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*o = 349, -9*o - 276 = -4*z - 5*o. What is the greatest common divisor of z and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7 and -127\/30432.\nAnswer: 213024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075971216 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250304828.\nAnswer: 2, 62576207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805256494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 87. Let d(u) = 2*u - 87. Calculate 5*d(r) + 4*x(r).\nAnswer: -2*r - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.078.\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -375799?\nAnswer: 37579b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190529.50039 + -190528. What is d rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4559 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**3 - g**2 + 2*g - 6. Let l(m) = -6*m**3 + 3*m - 6. Let s(u) = -6*l(u) + 5*q(u). Suppose 2*p = -0 + 12. What is s(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5070\/2366 - 1\/7. Let c = 7 - 4. Solve g + 11 = c*t, -2 + 0 = 2*g - s*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2 + 6*l + 286. Let t(j) = 24*j**2 + 11*j + 571. Let f(m) = 6*t(m) - 11*u(m). Find the first derivative of f(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -2.7. Let g = 2278 - 6838\/3. What is the nearest to -1\/3 in g, i, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 95*q - 1160. Let t(r) = r**3 - 13*r**2 + 13*r - 5. Calculate the remainder when w(13) is divided by t(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpppppttpp. Give prob of picking 1 p and 2 t.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47951, 47911, 47847, 47759, 47647, 47511?\n\"Answer: -12*n**2 - 4*n + 47967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354 is divided by 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Suppose -d = 4 - 10. Let m be b(d). Solve p - 20 = m*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*c + 32 = -182*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/18084735 and -83\/24?\nAnswer: 144677880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 22 + 2 = 0. Let o(n) = -7*n - 15. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*c - 24, -11 + 5 = g - 3*c. What is the units digit of (-4 - g) + 32\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x**2 - 4. Let c be v(-3). Suppose -c*q = -17 - 58. What is the greatest common divisor of q and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**4 - o**4 + 2*o**4)*(-12 - 18 + 8)*(-2 + 5 - 1)*(-23 + 0 + 3) to n*o**2 + z + l*o**3 + b*o + s*o**4 and give s.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 75504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22285008 and 101\/160992.\nAnswer: 579410208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*y - 4*n, -2*y - 88 = 2*y - 4*n. Which is smaller: -70\/3 or y?\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 0, -9, -5 in increasing order.\nAnswer: -15, -9, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14941 (b) 163 (c) 2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -38. Suppose 9*r - 5 = 4*r. Let z be (1\/((-3)\/(-9)))\/r. Calculate the highest common factor of h and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuukuuuuuuuuukuu. What is prob of sequence uku?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l - 85. Suppose r - 3*r + 5*g + 5 = 0, -3*r - 5*g + 45 = 0. Let o be f(r). Let s(h) = 3*h + 10. Calculate s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -65*v**6\/6 + v**2\/2 + 7*v - 26. What is the second derivative of u(k) wrt k?\nAnswer: -1300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**3*y**3 - 20*a**3*y + 2*a**2*y**3 + 256*a**2*y**2 wrt a.\nAnswer: 126*y**3 - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2488 + -2490. Sort -0.17, -1\/13, k.\nAnswer: k, -0.17, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650576759?\nAnswer: 3, 13, 19, 2227499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*12\/(-24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140936170.\nAnswer: 2, 5, 479, 29423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (10 - (2 + -5)) + -70 + 67.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2*(-218)\/(-2180))\/(31\/(-8)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350057071 is divided by 181.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03973 - -31.02973. Let y = d - -0.01. Let j = y - 30.42. What is j rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 21. Let u be (-6)\/(-4) - (6 - 1) - 1\/(-2). Let i be (1 + 1 + u)\/(w\/14). Let c(x) = -3*x**2 - 4*x - 3. Give c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbppbbppppbb. Give prob of picking 2 p.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + f**2)*(f + 2*f + 4*f**2 - 5*f**2).\nAnswer: -f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23639 and 0.09.\nAnswer: 23639.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -461, -611, -719?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atataaaexaqxtxxaa. Give prob of sequence teaq.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/25)\/v**2 assuming v is positive.\nAnswer: v**(-49\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 10 = w + 4*r, 0 = 5*w + 5*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14994 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**3 - 7*m**2 - 2*m - 5. Let w(u) = 2*u - 78. Let y be w(42). Let c(r) = 7*r**3 - 6*r**2 - 2*r - 4. Give y*z(v) - 7*c(v).\nAnswer: -v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 46492 = 3239. Let c = g + 4269. What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/14*n**7 + 0 + 2\/15*n**5 + 0*n**6 + 0*n**4 + n**2 + 0*n**3 + 0*n. What is the third derivative of t(x) wrt x?\nAnswer: 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226754 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30668, 66598, 102540, 138500, 174484, 210498?\n\"Answer: u**3 + 35923*u - 5256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/(18\/144)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7789*i - 4691*i = 124800 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 398?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 5 (c) -1.6 (d) -69 (e) 2\/11 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241453776.\nAnswer: 2, 3, 5030287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43549, 43913, 44277, 44641, 45005?\nAnswer: 45369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 74. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 786b1f + 1c?\nAnswer: 786b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 347304 and 2088.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*h - 10, 2*o = -3*o + 25. Suppose -2*g + 29 = n + 6, h*g = -20. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -466*t**2. Let b(r) = r**2. Determine m(b(j)).\nAnswer: -466*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 428*v. Let d(x) = 24*x. Calculate r(d(h)).\nAnswer: 10272*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24 - 35 + 2*d + 71 - 5*d + 4*d. Calculate b(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7185355007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g - 28. Let h(a) = 2*a**3 - a**2 - a - 1. Let i be h(-1). Let w be l(i). Is 7\/44 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859751?\nAnswer: 3, 206639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20)\/sqrt(4) + sqrt(35)\/(-2*sqrt(7)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 - 2*k - 1. Suppose -3*d + 9 = -0. Let v be s(d). Find the second derivative of -5*z**v - z**2 - z + 5*z**2 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177689 and 548?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 185*h + 2 + 2*h**3 + 2 - 252*h with respect to h.\nAnswer: 6*h**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Suppose 5*z - 1 - 24 = 0. Let w = 1 - z. Let k = -365.166 + 364.966. Which is the closest to k? (a) -0.8 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 greater than 5357\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345880 by 172940.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -241*f**3 + 6*f**2 + 1. Let x(w) = 1445*w**3 - 34*w**2 - 6. Calculate -34*i(j) - 6*x(j).\nAnswer: -476*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 35*k - 49. Let v be r(13). Solve 0 = z - v + 751 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 1.60105.\nAnswer: -54.4357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4328*x + 7. Suppose -8*u = 4*u - 24. Is k(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15549144*h**4 + 10*h**3 - 389567167*h**2?\nAnswer: 373179456*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgdzzjzhgzp. What is prob of picking 1 h and 2 g?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(0 + 0 - 3)*(-5 - 1 + 4).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 2*t + t)*(-2 + 1 - 1) + t + 0*t - 2*t)*(45*t**3 - 345 + 345).\nAnswer: 45*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000087535 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*r + 10 = -348*r - 4*u, -2*u - 12 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egenkkkffekknkkfkk. Give prob of sequence ffk.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24056*c - 279. Let r(g) = -29*g + 3. Give k(s) + 93*r(s).\nAnswer: 21359*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159187 = 13*h - 99877. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 6*v - 174. Determine r(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*w - 29, 13*w - 2*l - 8*l - 10 - 53 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2457 is divided by 488?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183 and 21.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686.7 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 44 = -2*p, -p + 5*p - 140 = -5*c. Let s(v) = -2*v**2 + 59*v + 65. Let d be s(p). What is the greatest common divisor of d and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 14. Calculate k(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 9*r - 4. Determine d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 70. Let s be 4\/z + 2298\/42. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/318 - -629\/2226. Let j = 0.1 - -0.1. What is the closest to -0.2 in j, y, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 195, 432, 775, 1230?\n\"Answer: p**3 + 44*p**2 - 2*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(2\/5)*j)\/j*j))**34*j**(-5)*j*j**(-1\/8))**(-2\/11) assuming j is positive.\nAnswer: j**(709\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) 2\/7 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12968194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 15*o**2 - 8*o + 14. Let k(r) = r**3 + 8*r**2 - 4*r + 7. Let d(v) = -7*k(v) + 4*n(v). Let f be 22\/33 - (69\/9 + -2). Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -5. Suppose -y*t = -3*t - 22. Suppose -3 + t = 2*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*j - 132, 2*w - 2 = 4*j - 50. Let u = w + 37. Calculate the greatest common factor of 77 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 + 24*f**2 - 19*f + 11. Let l be a(9). Is 2 a factor of l\/31*(-4 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47430, 92785, 138138, 183489, 228838, 274185?\n\"Answer: -x**2 + 45358*x + 2073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) 4 (d) 59 (e) 3 (f) 0.005\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -139. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 6, m: 1, f: 2}. What is prob of sequence fs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625899 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 65*z - 6. Let o be b(-3). Let g = 996 - 1441. Let f = o - g. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from xrnxnerrrn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*s = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3 = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1356\/68)\/((-9252)\/52428)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809268898 to the nearest integer?\nAnswer: 28448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -7 (b) 9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*k**2 + 10*k**4 - 7*k**2 + 2*k**2 + 0*k**2 to the form t*k**4 + z*k + x*k**2 + v + m*k**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046209 rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 60, -1454, -4338, -9036, -15992?\nAnswer: -25650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 857?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 574 in increasing order.\nAnswer: 1, 2, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1\/11, -4.706 in decreasing order.\nAnswer: 4, 3, -1\/11, -4.706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*v + 12 = 0, -2*l - v = 2*v - 12. Suppose 9*u - l = 10*u. Let n(p) = p**3 + 7*p**2 + 8*p + 3. Determine n(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784*t**2 + 28 - 28.\nAnswer: -784*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*z - 167 - 220, -3*z = -4*i + 1574. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:41 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871090.\nAnswer: 2, 5, 11, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 237 - 6?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -734162 divided by 2431?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n + 862*n**2 - 4*n - 13*n - 2833*n**2 - 1066*n**2 - 7*n.\nAnswer: -3037*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let r = 12 + -12.07. Let p = r - -0.27. Which is the nearest to w? (a) -1\/4 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let c be n(-1). Suppose c*l = -2*l + 8. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569431424.\nAnswer: 2, 7, 89, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -35. Suppose -3*z + 2*m + 287 = 0, -t*m + 105 = z + 2*m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5 + 6174*b**4 - 12399*b**3 - 80370*b**2 - 61800*b = 0.\nAnswer: -2060, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-90)*(-10)\/(-4)*(-54)\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 27*a + 121. Determine o(12).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 12. Calculate the lowest common multiple of 2\/f + (-9)\/(-12) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1515598ml in litres?\nAnswer: 0.0001515598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-14) + 4 + -1 + 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/19126783 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/105*36\/8)\/(46\/(-1610)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**3 + 5*j**2 + 7*j + 5. Determine y(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = o - 2*s, -2*o - o + 880 = 4*s. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -66, -60, -54?\n\"Answer: 6*q - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:10 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113726126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*d + 1 = 0, -2*q + 16 = -d + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:10 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.05472 to two dps.\nAnswer: -11.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let r = 27 - 21. Let g(i) = 3*i**2 - 5*i**2 + r*i**2. What is g(j(n))?\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11.1 (b) 0.5 (c) -0.3 (d) 6 (e) 1\/3 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.70852 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3776 or -2868?\nAnswer: -3776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 26 = 3*s + 21, 4*s = -2*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let r(l) = 157*l**2. Determine r(z(i)).\nAnswer: 628*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (2 - 1) - (-1209)\/(-286). Suppose 2*q + 2*o = 10, 7 = q - 0*q + 2*o. Let b be 1 - (q + 0)\/3. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*n**4*p + 37*n**3 + n**2*p - 37*n**2 - 2*n*p + 9 wrt n?\nAnswer: 3576*n*p + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59725 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3000.4 - -3001. Which is the nearest to -0.2? (a) 0 (b) -0.1 (c) f (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -422 - -1687\/4. Let x = -0.43 + 0.53. What is the fourth biggest value in x, -0.03, 2\/19, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/2*20\/(-25). Let l be -4 - f\/3 - 2. Put 1, 5, l in increasing order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 17. Let f = 10 + -10. Solve f = 2*x - 6*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.465822nm?\nAnswer: 0.000006465822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 443510, 443458, 443334, 443108, 442750?\n\"Answer: -5*b**3 - 6*b**2 + b + 443520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**2 - 31*m - 91. Give x(14).\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157723 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 3. Let y be j(-3). Let x = y - 7. Suppose -3*b - 5*c - 26 = 0, -c = 4*b + 7 + 5. Put b, x, 9 in increasing order.\nAnswer: b, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 12*h - 8*h - 3*a, 2*a = 4*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 29 = -4*h, 4*o - 15*h + 558 = 441 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 20 = -2*g, r - 4*g - 32 = 0. What is the remainder when 83 is divided by 5\/(100\/268) + r\/20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(12\/5)*p\/p**(-1)*(p**(-1\/24))**(-6))**18 assuming p is positive.\nAnswer: p**(837\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1320)\/28)\/10 - (-4)\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*t + 3*t - 14, 0 = 3*s + 3*t - 6. Suppose 11 = h + k, -k + 21 = 5*h - s*h. What is the lowest common multiple of h and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 3. Let w be y(-6). Suppose -3*t - w = -9. Let l = t + 3. Solve -3*x - 2*n - l = 0, 2*x + 0*x = -5*n + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2087 = -547. Suppose -3*w - 88 = -s. Let n be (0 - 2) + w\/1. Round n to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4)*(5*s - 3*s - 3*s)*(-s**2 + 3*s**2 + 0*s**2 + (-2*s + 4*s + 0*s)*(-s + s + 2*s) - 244*s**2 - 253*s**2 + 565*s**2).\nAnswer: -296*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -2*2\/(-2). Is m\/((-4)\/2) - -724 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)\/sqrt(8) + 1)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, and 2 t when four letters picked without replacement from {u: 1, t: 7, e: 5}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15259 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {y: 4, v: 1, e: 8, u: 4, s: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*d - 84 - 20, 0 = 4*v + 8. Let y be d\/110 + 1\/5. Which is the nearest to 0.2? (a) 1 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40089 divided by -23\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:29 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 39*i**2 + 20*i. Let b(h) = h. Let m(r) = b(r) - o(r). Factor m(w).\nAnswer: -w*(w + 19)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009637 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 + 5*a + 7. Let o be v(6). Suppose 0 = -4*f + 17 + 3. Let r be (-58)\/(-6) + (-200)\/(-150). Solve 0 = f*u + o - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -23. Suppose -i - 2 = -5*t. Solve 5*m - n = 5, t - 1 = 2*m - n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than 455363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in 6\/5, 13\/2, 3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -16. Suppose -w + 5 = -l, -w - l + 1 + a = 0. Suppose -2*g - 5*f = -66, w*g - 2*g - 2*f = 24. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j - 46. Let s = -32 - j. Let l = -3 + s. Calculate the smallest common multiple of 1 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 4*w**2. Suppose -4*f + 5*p = 3, 3 = -3*f + 5*f - p. Give k(f).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + 0*d)*(-d**3 - d**3 + 4*d**3) + (-33 - 11*d**3 + 15 + 19)*(d + 3*d - d).\nAnswer: -31*d**4 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1310838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from bbbhuhbhhbubbdbibbb?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -680, -591, -502, -413, -324, -235?\n\"Answer: 89*r - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027422749 to seven dps.\nAnswer: -0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b\/b**(-1\/2)))\/(b*b**10))**(12\/7)*(b**(-1\/3))**(4\/27)*(b*b*b\/b**(-2))**11 assuming b is positive.\nAnswer: b**(2993\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.42 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -125?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1\/4, 3, -17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 287. What is the remainder when z is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -10*u - 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-22) + 15\/330. Solve z*g + 5*g = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 1\/5 (c) 81 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:32 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318 - -317.7. Sort -47, -2\/19, i.\nAnswer: -47, i, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2*-4 - ((1 + sqrt(320) - sqrt(320)) + sqrt(320)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**6 + 3*r**4 + 4*r**2 + 3*r. Let u(h) = 13*h**6 + 7*h**4 + 8*h**2 + 7*h. Let o(l) = 7*d(l) - 3*u(l). Find the third derivative of o(s) wrt s.\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12253385449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/1440 - l**4\/96 + 3*l**3 - 8. Let d(c) be the third derivative of t(c). Solve d(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6319*u**2 + u - 6269*u**2 + 9 + u - 5*u to the form m*u + x + c*u**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - 5 - -5 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/7))\/g*g*g**(-3\/2))\/(g*g**(3\/5)*g*g**(-1)*g*g*g) assuming g is positive.\nAnswer: g**(-337\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 269\/1590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urutnggutugggrtt. Give prob of sequence ung.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2913, 2912, 2911?\n\"Answer: -v + 2914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*i**3 - 5*i + 263*i**3 + 5*i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3684 in 5, 0.54, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4855.\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + (-3)\/(-1). Let v be ((-16)\/(-2))\/16*6. What is the second derivative of -2*s**5 - 26*s - 107*s**3 + 51*s**v + 56*s**p wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sskkwwkswkw. Give prob of sequence swk.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1239.9429?\nAnswer: 123.99429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128069886598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 255551?\nAnswer: 255554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 10665626*t**2 - 21331246*t - 10665622.\nAnswer: -2*(t + 1)**2*(t + 5332811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23142 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-42) + (-19)\/(-7). Is 4\/(-12) - (-160)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/20*19 + (-116312)\/(-34840) - (-150)\/(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -5*y. Suppose -x - 30 = -y*x. Calculate the least common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*y = -3*j - 19, 0 = 3*y - 5*j - 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35380, -70537, -105694, -140851, -176008?\nAnswer: -211165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1905940784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:44 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8376 and 4188.\nAnswer: 8376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32542172 divided by 8135543\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/(-1026))\/((-10)\/12 + 0)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -16*j + 92*j - 2819 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**3 + 63 + 13*k**3 - 128 + 65.\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, x: 7, t: 3}. Give prob of sequence tyxt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 27 = -5*l + 7*l, 0 = 4*l + 4*o - 64. Suppose -u - 6 = -l. Let p(x) = -5*x + x**2 + x + 12 - 7*x. Calculate p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 3) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -66. Solve 3*c = 5*d - 22, -3*d + 8 = 4*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1075 + 1084. Let o(v) be the second derivative of 0 + 3*v**2 - h*v - 5\/12*v**4 + 0*v**3. Differentiate o(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700570 is divided by 140114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f + 9. Let k(g) = -10*g + 7. Let j be k(f). Suppose 11 = r - j. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -894, 1, 1\/5, 3, 0.3 in decreasing order.\nAnswer: 3, 1, 0.3, 1\/5, 2\/23, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -367*w**3 + 9*w**2 + 4*w - 2. Calculate the least common multiple of b(-1) and 333.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 4*s + 2, 0 = -2076*g + 2081*g - 3*s + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 - 7*a - 5. Let c be q(-5). Let n be ((-30)\/c)\/(4\/(-9)). Let p = -326 - -325.6. What is the second smallest value in n, 0, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p + 1. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144*d*u + 17*d - 6 wrt u?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*f + 17*f**3 + 21*f + f**3 - f**3 - 2*f**3 + (3*f**2 + 0*f**2 + 0*f**2)*(0*f + 3*f - f).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n**3 - 4*n**4 - 13*n**3)*(-4*n - 2*n + 5*n) + 1255 - 6*n**3 - 1255 + 20*n**5.\nAnswer: 24*n**5 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 15*i - 1 - 5*i to s + q*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) -9\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(3 + d - 3) - 353*d - 691*d - 765*d)*(5*d + 4*d - 4*d).\nAnswer: -9035*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:44 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m. Let c(h) = -3244*h**2. Calculate a(c(k)).\nAnswer: 64880*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**3 - 3*v**3 + 2*v**3)*(2*v - 6 - 93 + 6) in the form z + i*v**2 + o*v**3 + p*v + m*v**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(80)) + -4 + -3*sqrt(80).\nAnswer: -4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -139.98. Let z = d + -144. Let j = -5 - -27\/5. Which is the nearest to -2? (a) z (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-49)\/(4900\/625)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.4 (b) -1\/3 (c) -1487 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*p + 36, 2*p - 2*o = -3*o + 12. Let y be (-2)\/8 + 2\/p. Let j(s) = -s + y*s + 0*s. Let v(l) = 3*l**2. What is j(v(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -305*w**2 + 163*w**2 - 5*w + 76*w**2 + (0*w + w**2 + 0*w)*(-14 - 1 - 1).\nAnswer: -82*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/18 - v**4\/3 - 2*v**3\/9 + v**2\/2 + 2*v\/3 + 8. Solve y(u) = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*1 - sqrt(637))*-1 + (((sqrt(637) - (sqrt(637) + -2) - sqrt(637)) + sqrt(637) - sqrt(637))*-3 - sqrt(637))**2)*1.\nAnswer: -168*sqrt(13) + 2584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - z**3 - 2*z**3 + 6*z**3 - 12*z**3 - 27*z**3 + (-4 + 3*z + 4)*(0*z**2 + 0*z**2 + z**2) to the form i*z**3 + y*z**2 + n*z + r and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -1a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l + 2224. Let a = 63 - 34. What is the remainder when k(-106) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 642 + 300 - 4*u - 57.\nAnswer: -2*u + 885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081892987 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5434 - -9776. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25aa261 - -4?\nAnswer: -25aa25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 239522768 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2100 and -38\/10059?\nAnswer: 1005900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 != 1981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 542 divided by -2\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15085, -15082, -15075, -15064, -15049, -15030?\nAnswer: -15007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 57 = 3*r - 6*r, 4*o + 3*r = 73. Let t be o\/7 - 4\/14. What is the third derivative of -c**t + 2*c**2 + c**6 - 3*c**6 - 4*c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -6 + c**2 + 2 + 8. Let j(v) = -3*v**2. Give j(x(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*c + 3, -1 = -5*c - z + 5*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3135?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 30315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453660831 to the power of 1\/2, to the nearest integer?\nAnswer: 21299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/5656 and -99\/2828.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 432048 at most as big as 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = 18. Let u(r) = r**3 - 26*r**2 - 27*r + 8. Let i be u(27). Sort i, 5, t in descending order.\nAnswer: i, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238988988 divided by -68439.\nAnswer: -3492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1412 or 1345?\nAnswer: 1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2917145196*o**2 + 2917145196*o**2 - 32*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32542*w + 4 - 4 - 39006*w.\nAnswer: -6464*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3281*r**5 + 2*r**4 - 27*r**3 - 35377967*r wrt r.\nAnswer: -65620*r**3 + 24*r**2 - 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(6\/(-81)*-9)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.237, -6\/13.\nAnswer: -3, -6\/13, 0.237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -14, -1\/4, 37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (32\/(-20))\/((-22)\/50820)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -128*m - 1275. Let y be o(-10). Solve -2*v - 25 = -y*i, -7*v = 2*i - 2*v - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223790 and 2070.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -551*a**5 + 297*a**5 + 349*a**5 - 5*a**3 + 5*a**3 + 2*a**5 + (2*a**2 - 2*a + 2*a)*(-5*a**3 + a**3 + 2*a**3).\nAnswer: 93*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*n - 126. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1494535.\nAnswer: 1\/298907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-1893)\/(-1893).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 36*v**2 - 121*v - 5. Let z(y) = 9*y**2 - 30*y - 1. What is -2*c(m) + 9*z(m)?\nAnswer: 9*m**2 - 28*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:43 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*h = -0*h + 30, -3*a - 4*h = 45. Let l = a - -17. Suppose -6*g + 3000000 = -l*g. Round g to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29819898*n**2 - 3184764*n - 1 wrt n.\nAnswer: -59639796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, -2, 0, 5, 106, -4 in descending order.\nAnswer: 106, 19, 5, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 18*o**2 - 8*o - 148. Let h be u(-18). Sort h, 2, 31.\nAnswer: h, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**4\/2 + 41*a**2\/2 + 10014*a - 1193. Differentiate w(t) wrt t.\nAnswer: 30*t**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -29*r**3 - 11*r. Let k(x) = -9*x + x + 10 + 10*x**3 - 10 + 12*x. Give -17*k(a) - 6*p(a).\nAnswer: 4*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*u**4 + 15*u + 4*u**2 - 3 - 12*u + 32*u**4 + 5 in the form p + i*u + c*u**2 + r*u**3 + a*u**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:24 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 328\/5. Which is the third biggest value? (a) 0.1 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2320 - -2530. Calculate the smallest common multiple of 12 and k.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -26*d - 13. Let i = 123 + 100. Suppose -4*r + d + i = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4191 + -4188. Which is the fourth smallest value? (a) -3 (b) -3\/7 (c) -52 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) + 5\/(-5). Suppose 5*y - 7 = c - 3, a = 4*y + 5*c - 9. Suppose -l + 2 + y = 0. Solve -8*p = -l*p - 3*q - 26, 4*q + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -228\/1960541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48)\/18)\/(184\/(-23137287)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 + 20*n - 92. Calculate the smallest common multiple of d(4) and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*p + p - 14, 4*p - 41 = -3*d. Let c = -6 + d. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -631? (a) 0 (b) -19\/410 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1045, 4326, 10177, 18910, 30837, 46270?\n\"Answer: 52*r**3 + 973*r**2 - 2*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 96. Let r be l(32). Is -66\/103 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = -21*u + 2*u + 574 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.847 + 4.\nAnswer: 4.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**2\/m)\/m))**(-36) assuming m is positive.\nAnswer: m**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*p - 3*d = 424*p - 13, 3*p = -4*d + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -41179.\nAnswer: 9\/41179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*i + 3*i - 70, -3*q + 6 = 0. Let d = i - 463\/7. Which is the biggest value? (a) 1 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32841313057 - -2495.\nAnswer: -32841310562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10106 is divided by 115.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1\/2466, 3, -4\/17 in decreasing order.\nAnswer: 3, -1\/2466, -4\/17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25383284?\nAnswer: 2, 6345821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 632, 3, -18390.\nAnswer: -18390, -5, 2, 3, 632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 - -2.05. Let a = d + -0.3. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 32*k = 136 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/590168 and 95\/346.\nAnswer: 102099064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 184?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 3*r**3 + 6*r - 8*r**2 - 4*r - 15 + 2*r**3 + 8. Determine a(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*h + 10*h. Let r be ((-171)\/95)\/((-3)\/5). Let o(i) = -r + 3 + h*i. Let v(u) = -2*u. Calculate o(v(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -6220441605057?\nAnswer: -6220441605053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -295*c**2 - 3. Let l(g) = -1. Calculate 2*l(f) - r(f).\nAnswer: 295*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let h be (o*3\/6)\/1. Suppose h = -3*y + 2*d + 113, 5*y - 3*d - 221 = -32. Calculate the highest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21995\/(-106))\/83)\/((-10)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20 + 2*w**2 + 9 + 10 + 13*w + 7. What is the tens digit of o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14858 = 3*f + 5288. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/21 - (-1246)\/49 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16302064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4401?\nAnswer: -2\/4401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18603, 18599, 18599, 18603, 18611?\n\"Answer: 2*p**2 - 10*p + 18611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -705, -3989, -11621, -25365, -46985, -78245, -120909?\n\"Answer: -294*i**3 - 410*i**2 + 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p - 33. Let z be n(6). Which is the fourth smallest value? (a) z (b) -4\/9 (c) -4\/5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:43 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-56)\/10*(-1640)\/(-1435).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 1 (c) -0.5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1355\/67344 + 1\/1403. Suppose 5 = -o + 6. Which is the biggest value? (a) o (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315860 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 104.8292ml?\nAnswer: 0.1048292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -21168*s + 1. Let f be d(-1). Let q = f + -423491\/20. Calculate the common denominator of q and 87\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 21. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, k: 2}. Give prob of sequence bbb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/6 - 94*n**3\/3 - 2209*n**2 - 951*n. Solve c(p) = 0 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 12*w - 112. Let y be i(7). What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, 160, 346, 534?\n\"Answer: m**2 + 181*m - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7742, -7736, -7728, -7718, -7706, -7692, -7676?\nAnswer: -7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m + 5. Let k be b(-5). Suppose a + k = 6*a. What is the third derivative of -4*c**5 + 7*c**5 - a*c**3 + 6*c**3 + 5*c**2 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 46941 - 46975 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -250*f. Let x(i) = 2*i**2. Determine x(m(h)).\nAnswer: 125000*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13361 + 27145 = 2110*a + 15165 - 116029 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104, -106, -100, -80, -40?\n\"Answer: n**3 - 2*n**2 - 3*n - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.4919 - -13.5. Round u to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -867, -1304, -1745, -2190, -2639, -3092?\nAnswer: -3549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-75 - (-87 - 36)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -88. Let h = l + -35. Which is the nearest to 0? (a) -2\/7 (b) h (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -691321*m - 47. Let z(s) = s. What is z(k(y))?\nAnswer: -691321*y - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1040*h*t**4 + 37*h*t**3 + 14*h*t**2 + 2*h*t + 2*h + t**4 - 3*t**3 + 6*t - 349 wrt t.\nAnswer: -24960*h*t + 222*h + 24*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14175 + 1854?\nAnswer: 16140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from kiezc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 28*q**2 + 2*q - 27. Let p be r(28). Suppose 0 = -6*c - c. Let s = 30 - c. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u**(3\/2)\/u)\/u*u*u*u)*(u\/u**23)\/u*u*(u*u**(-3))\/u*u*u*u**(-1\/4) assuming u is positive.\nAnswer: u**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:08 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t - 6, -5*t - 11 = 2*i. Suppose 0*u - i*u = 4. What is the common denominator of -15\/31 and 6\/u + 3 + 126\/20?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + s - 355 = -x, 4*s - 720 = -2*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512*-275904\nAnswer: -141262848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 14*k = -7428. Let z = k - -7764. Suppose 4*w + w = -z. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 9747?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 + 506 - 506.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*n + 3*t, -2*t + 7 = 3*n + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + b4b?\nAnswer: b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5153 - -13356. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 11. Let i be n(2). What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let h(c) = -3. Let f(y) = 2*h(y) + 2*w(y). Let q be f(-5). Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Suppose 5*i = 2*i - f*c - 15, 3*c = 3*i - 9. Suppose i*d + 4*b - 64 = -d, -3*b - 64 = -d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11261 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - k - 5. Let w(f) = -1. Calculate -6*w(p) + x(p).\nAnswer: 2*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.01 + 6. Let d = s + -1.39. Let z = d - -1.1. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989253 times 8?\nAnswer: 15914024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-6)*(-7)\/98*14*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3599, -3488, -3311, -3074, -2783?\nAnswer: -2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 3*f**2 - 1110*f - 1 + 1427*f as h + x*f + m*f**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 2.\nAnswer: -27, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -41. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t - 131*t = -252*t + 139*t - 4352 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139137, 139135, 139133, 139131, 139129?\nAnswer: 139127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -78965030404465?\nAnswer: 78965030404466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004754056657 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18866862 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/32)\/(21\/(-34588)). Let f = -1261\/4 + l. Find the common denominator of (2\/222)\/(-9 - 1504\/(-168)) and f.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001606 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247.12676209944 - 0.15.\nAnswer: -247.27676209944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -143272 > -146528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 949, 2137, 3801, 5941, 8557, 11649?\nAnswer: 15217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + b = 20, -3*b + 1 = -3*q - 35. Let r(p) = -p**2 - 12*p - 7. Let g be r(q). Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 13. Let k(m) = -4*m**2 + 16*m - 2. Let q be k(4). Let l = q + g. Solve 2*r + l*x - 15 = 0, 0 = 4*r - 0*r + 2*x + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -43, -72, -101, -124, -135, -128, -97?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*f + 31 + 33, 3*f - 5*t = 55. Calculate the remainder when 115 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2864006 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 6:29 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s - 549 + 207 = -1156 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*v + 177 + 110 = 523, 5*v + 190 = 3*y for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/5 - 44*d**3\/5 - 138*d**2\/5 + 1144*d\/5 - 1352\/5.\nAnswer: -2*(d - 2)**2*(d + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*v = -42, 20 + 26 = 3*y - v. Suppose 20 = -5*b + 2*f, -b - 3*f - y = 5. Let r(p) = -p**2 - 8*p + 4. List the prime factors of r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34000.0238 rounded to zero dps?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8\/7)*v*v)\/v**(5\/3))\/((v**(-6\/5)\/v)\/v**(2\/7))*(v**0)**(-3\/7)\/(v\/(v*v**0)*v**0) assuming v is positive.\nAnswer: v**(176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-3))\/(22\/(-14113)) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**2 + 0*h**6 + 0 + 0*h**4 - 11\/42*h**7 + 19\/6*h**3 - 16*h + 0*h**5. Find the second derivative of j(c) wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -51. Let z(a) = -a**2 + 4*a + 1. Let m be z(d). Calculate the remainder when 181 is divided by ((-62)\/8*m)\/(3\/(-24)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12957 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.45 - 3.794. Round f to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 34*r - 412. What is the tens digit of s(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -530, -1064, -1598, -2132, -2666, -3200?\n\"Answer: -534*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*1 - (-4329)\/(-555)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1558, -0.2 in decreasing order.\nAnswer: 4, -0.1558, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 - 7 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.66 - 75.66. Which is the nearest to q? (a) -0.2 (b) -2 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83f69 (base 16) in base 9?\nAnswer: 1013408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/60)\/((-3)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbz when three letters picked without replacement from sszsrsbsr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931659149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 35194*b**2 - 54855*b - 22. Let k(q) = -8798*q**2 + 13704*q + 6. Let z(p) = -3*h(p) - 11*k(p). What is the second derivative of z(c) wrt c?\nAnswer: -17608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*n**3 + 30500*a**2 - 2373*a*n**3 wrt n.\nAnswer: -9*a**2*n**2 - 7119*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -1\/6*u**6 + 0*u**2 + 1\/15*u**5 + 11 + 0*u + 0*u**3 + 1\/6*u**4. Let a(n) = 0. What is n?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 269755 and 0.2.\nAnswer: 53951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, a: 12, e: 4}. Give prob of picking 1 e and 2 a.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489 - 2446\/5. What is the closest to 2\/3 in x, 0.4, 0.3, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 2*x. Let v(o) = -1. Let g(i) be the third derivative of i**5\/60 - 5*i**3\/6 + 3*i**2. Give x*g(j) - 11*v(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 45. Let r = 0.2 + -0.1. What is the nearest to 3 in r, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10596, -27573, -55870, -95487, -146424, -208681?\n\"Answer: -5660*y**2 + 3*y - 4939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220782 is divided by 191.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**6\/15 + 32*q**5\/5 - 207*q**4 + 4232*q**3\/3 + 60835*q**2 + 27*q. Factor s(x).\nAnswer: -2*(x - 23)**3*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8)*1)\/sqrt(4).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*a*g**2 - 37*a + 20875*g**2 with respect to a.\nAnswer: 277*g**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + 0 + (-68 - -66) + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p = 49*p. Which is the nearest to 1\/7? (a) 0.5 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19182 + 19466. Calculate the remainder when 1039 is divided by o.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -58*o + 518. What is the remainder when 62 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(400\/15))\/(2\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3560*g - 5 + 3560*g + 195*g**3 - 3*g**2 wrt g?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 6*t + 5*v + 28, 4*v = -16. Solve b - d = -b - 5, 0 = 2*d - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 1. Let v(r) = 8*r - 2. Let i(a) = 3*n(a) - 2*v(a). Let c be (7 - (-154)\/(-21))\/(1\/6). Give i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 266 + -10?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 61412 (base 7) to base 3\nAnswer: 202111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-19)\/(((z\/z**(-12)*z*z)\/z)\/z)*z*z**1*z**(-6)*z)**(-17) assuming z is positive.\nAnswer: z**595","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 336*r - 5076.\nAnswer: -3*(r + 18)*(r + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:55 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(k - 1 + 1) + (3 - 4 - 1)*(-6*k + 2*k + 3*k)*(-1 + 0 + 4)*((1 + 1 + 11)*(-1 - 12 + 0) + 7 - 3 - 1) to f*k + d and give f.\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2.7 (c) 0.01 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i + 102. Let q(m) = -5*m - 36. Let d(u) = 6*a(u) + 17*q(u). Let f(t) = -380*t**2. Calculate d(f(s)).\nAnswer: 380*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000423 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 1. Let j(a) = -a + 2*a - 133 - 5*a - 10*a + 134. Give 3*j(d) - 5*q(d).\nAnswer: -7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 4. Let g(a) = 2*a + 2. Let t be g(-4). Let y be (6\/(-5))\/(t\/80). What is the highest common factor of o and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 23 - (32 + 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230214234 (base 5) to base 14.\nAnswer: -cb2272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(171)*-1 - sqrt(171))**2 - (-1*(1 + (sqrt(19) - (sqrt(19) + -1))))**2*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -57, -75, -99?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -35*q**5 + 334218*q**4 - 696410*q**3 - 4974036*q**2 + 467773*q + 286410 = 0.\nAnswer: -3, -1\/5, 2\/7, 5, 9547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369275?\nAnswer: 5, 94771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17412 and 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 13*c - 32. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*t + 46*t + 25*t - 756 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 74, 0.2, -499, 9\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 greater than or equal to -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:03 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let f = -23032 - -23062. Solve -5*s - g*b - 13 = -1, 5*b = 5*s + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 38*u + 4*u. Put 1, -0.001, 1\/5, u in decreasing order.\nAnswer: 1, 1\/5, u, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-356)\/267*8\/2*((-270)\/(-8))\/9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 20384215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3043 (base 10) to base 14.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2892\/(-14))\/(1\/(-7)). Suppose -6*y = -6624 + q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 8*p + 6. Let z be g(-5). Let n = z - 29. Let m = n + 28. Solve m = 2*d + d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.08. Let q = -0.06 - h. Let v = -1 + q. Which is the nearest to 1? (a) 0.1 (b) -2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331340 (base 5) to base 9.\nAnswer: 16654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let v(q) = -q**2 + 11*q + 5. Let i be v(11). Let j(a) = -1 - i*a**3 + 3*a**2 + 4*a**3 + a + 2*a**2 + 0. What is j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57939 and 1.\nAnswer: 57939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 2 + 561 + -574?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -485*h - 20. Let u be v(-1). Let s = u - 123. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 (base 11) in base 6?\nAnswer: 10552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -8.24898 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 + 152. Suppose g*w + 2*x - 25 = 0, 20 = 2*w - x - x. What is the remainder when 16 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102112220102 (base 3) to base 11\nAnswer: 145918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 40 + 12. Let x(p) = -27*p**2 - p + 2. Let l be x(1). Let u = h - l. Solve 3*n + 2*n - 10 = u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372903 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(88\/(-60))\/(-11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 5*u - 5 + 3*u)*(46 + 22 - 36) + u + 0 + 0 in the form g*u + a and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872\/704*444\/(-33)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l)\/l*l)\/l**17 assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11060.70828 rounded to the nearest integer?\nAnswer: 11061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -38. Let o = 14 + z. Let y = -6.00021 - o. Round y to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -893*t**3 - 4*t**2 - 4*t + 4. Let k(c) = 4*c**3 + c**2 + c - 1. Calculate -4*k(a) - v(a).\nAnswer: 877*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 339613956 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 - 225?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 134, 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-432)\/(39 - 12))\/(-1). Solve x = 66*o - 70*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 3*i - 9*i**2 - 1613 + 7*i**2 + i**2.\nAnswer: -i**2 - 2*i - 1613","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {i: 2, c: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 43 - 7. Let g = r - 8. Suppose -9 = g*u - 71. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26867, 53725, 80583, 107441?\nAnswer: 134299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-21)\/16 - 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 232. What is c(0)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:07 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133913, 267831, 401751, 535673, 669597?\n\"Answer: a**2 + 133915*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x - 6. Suppose -8*i + 4 = -7*i + 3*j, -3*i + 4 = j. Let l(y) = -90*y**3 + 2*y - 2. Let t be l(i). Let a = t + 96. Determine g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 20 = 0. Solve -2*d = -d - 3, -4*d = g*m - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -40\/7 (c) -57 (d) -5\/2 (e) -2\/7 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3075580*n - 3075580*n + 211*n**2.\nAnswer: 211*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.1546?\nAnswer: -0.6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-94)\/6*-3. Let c = 51 - a. Solve -4*d - 16 = -c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 7*s + 5*s to f*s + j and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2602808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*y**6 + 195*y**2 - 3 wrt y.\nAnswer: 3480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/11))\/r**(-9))\/(r**12\/r*r)**30 assuming r is positive.\nAnswer: r**(-3849\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2. Let k(n) = -11*n - 8. Determine k(r) - 6*t(r).\nAnswer: -11*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*n + 30 = -6*m + 9*m - 230*n, -4*n = -16*m + 160 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = -2*a. Suppose 5 = -p + a*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-3 + -1.\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*o + 207 - 157, -3*b - 2 = -o. Suppose 3*k + 2*g - 8 = 0, 5*k - 12 - 14 = 3*g. What is the smallest common multiple of k and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476595 is divided by 303?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10471828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 - 2*w + 5. Let g be a(-5). Is -1*(g + (2 - 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 1\/6*d**3 + 1\/20*d**5 + 32*d**2 + 0 + d + 1\/12*d**4. Let r be k(0). What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/360 + u**5\/120 + u**4\/8 + 47*u**3\/6 + 54*u**2. Let h(i) be the first derivative of c(i). Calculate h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((316\/(-553))\/(2*2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -6. Let y = 14 + d. Suppose v = -o + 5, y*o - 4*o + 2*v = -6. Solve -11 = 4*u + 3*t, u - o*t + 27 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24228 - -35605. What is the greatest common divisor of k and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -890.35198 rounded to 0 dps?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7372*l - 110425. Give y(-15).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/31976323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -932*p**2. Let o(k) = 605*k. Calculate o(l(d)).\nAnswer: -563860*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 259*r - 132*r + 430*r in the form u*r + y and give u.\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 898?\nAnswer: 8082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -1.1754.\nAnswer: -1.2754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f + 26. Let p(g) = g**2 - 3*g - 12. Let j be p(0). Which is greater: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -173*b. Let v(g) = 84*g**2. Calculate v(z(y)).\nAnswer: 2514036*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - j**3 - 10 - 2*j**3.\nAnswer: -3*j**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/66*(3\/(-1))\/3*-79?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -1\/6 (b) 0.06 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*a - a = -11, -21 = -4*h + a. Let s(r) = r**2 - 4*r + 1. Let w be s(h). Calculate the highest common divisor of 24 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5644.98 - 5576. Round j to zero dps.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-8) - 72\/(-16)) + -2. Let z = 4 + -1. Solve 0 = -m*v - 23 + z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/39715 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 3. Let f be (18\/(-12))\/((-2)\/(-4)). Let q be u(f). Which is the biggest value? (a) -1 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h - 110. Let m be q(-8). Put m, 14, -1, -2 in decreasing order.\nAnswer: 14, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 12*z - 9. Let d be g(7). Let h(s) = -d*s + 25*s - 4*s. Let m(c) = 2*c**2. What is m(h(a))?\nAnswer: 512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41474?\nAnswer: 2, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12432*o + 24803. Determine y(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 146.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162, -179, -188, -183, -158, -107, -24?\n\"Answer: h**3 - 2*h**2 - 18*h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:27 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16207 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22401 + -22400.9. Let z = 3 + -2. What is the nearest to -1\/2 in -7, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**3 - 2*s**2 + 7*s - 17. Let j be p(3). What are the prime factors of (6586\/j)\/(((-5)\/(-6))\/5)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 4*f - 117. Let w be i(9). Suppose -324 = -13*d + 9*d + 5*r, w = 2*d - r - 162. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/10 (b) 0.22 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from {f: 18, t: 1}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, u: 4}. What is prob of sequence zzz?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 85146005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 136*w**2 - 2*w - 35. Let o be t(-6). Suppose 5*l - 531 + 4173 = 3*z, 4*z - l - o = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)*1 - ((sqrt(187) - 1*sqrt(187))*-1 + sqrt(187)))\/(-6*sqrt(44)\/sqrt(4)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1245 + -777. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(62*s - 62*s - 25*s**4) + s**4 + 6*s - 6*s - s**4 + 0*s**4 - s**4 to the form u*s**2 + b + w*s**4 + i*s + j*s**3 and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**7\/560 + v**6\/320 + v**5\/40 - v**4\/16 + 43*v**2 + 3. What is b in m(b) = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.048181?\nAnswer: -0.240905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-927 - -1009)\/(0 - 2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 + 8 = 4*g, 2*o = g + 20. Suppose -7*m + 4*m + o = 0. Solve -h - v = 3*v + 5, -2*h + 5*v + m = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690502.\nAnswer: 2, 11, 43, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-2478)\/1764 + 8\/((-32)\/60)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -o - u, -5*o - u = -4*u + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641586, 641604, 641622, 641640?\nAnswer: 641658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 102*r**3 + 540*r**2 - 1032*r + 672 = 0. What is r?\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(91)\/sqrt(7) + -4 + sqrt(325)*2 + 2 + sqrt(325)).\nAnswer: -6 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(210)\/sqrt(6))\/(sqrt(5) - sqrt(60)\/(sqrt(60)\/sqrt(5) + sqrt(12)) - sqrt(5))*-5.\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 171 + 7*f**3 - 14*f**3.\nAnswer: -7*f**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 403 = 6*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/o)\/(o**0*o)*o**1\/(o**0\/o*o*o))\/(((o*o*o\/(o*o\/(o*o**(-2\/3))*o*o))\/o)**(-4\/13)*(o**1)**47) assuming o is positive.\nAnswer: o**(-1775\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 11. Let n be ((-15)\/5 + 2)*7. Let l be s(n). Suppose -5*g + l = -0*g. Solve -g*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -4. Suppose 27 + 29 = -b*l. What is the remainder when 7\/l + 181\/4 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 3. Suppose -22 = -4*j + z, 0 = a*j + 3*z - 2 - 2. Let r be (-4)\/8 - 9\/(-2). Solve -2*t + 2*h = -r*t + 16, -3*h + 34 = j*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 26*h + 25. Suppose -26 = 2*d + 28. Let p be w(d). Is 5 + p - (-350)\/7 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 21 = g + 5*p, 11 = -3*g + 2*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let b(i) be the second derivative of 0*i - 3*i + 2*i - 3*i + i**3. What is j(b(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -386*((-27)\/6 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -913 (base 11) in base 9?\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1030 and 5?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - (-4 + 8) - (5 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25948 and 1898.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 548507003 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*m + 9 = -0*m, -3 = -3*y - 2*m. Let a(r) = 4*r + 1. Let o be a(1). Suppose -q - 40 = -5*g, -o*q = -2*g - y*q + 8. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212210 (base 3) in base 5?\nAnswer: -103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*q + 11. Let a(o) = 5*o**3 + 1 + 0*o**3 + 3*o**2 + o - q*o**3. What is the units digit of a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122, 308, 502, 704?\n\"Answer: 4*c**2 + 174*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22659?\nAnswer: 3, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14294300 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(24)\/(-3*sqrt(8))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(59*g**3 - 182*g**3 - 19*g**3 - 446*g**3).\nAnswer: -588*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let j(f) = 27*f**2 + 7*f + 95. Let n(q) = -13*q**2 - 3*q - 38. Let v(k) = -3*j(k) - 7*n(k). Determine a(v(o)).\nAnswer: -20*o**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*0.7\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 48*c - 63 to the form v + l*c and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*s - 41 = 0, -4*s = -6*o + 11*o + 27. Solve 0 = -3*x - j - o, 9*j = -9*x + 13*j - 38 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let x be g(1). Solve -4*y - x*p = 6, 7 = -0*y - 3*y - p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) -6.5 (d) -2\/23 (e) -1\/3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002804 to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4162)\/(-5))\/((-12)\/(-21)). Let u = j + -1458. What is the common denominator of 29\/(-1)*3\/54*-3 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.4. Let a = -18 - -17. What is the third smallest value in a, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 0*c)*(-c**2 + 2*c**2 + 2*c**2) + 31*c**3 - 147*c**3 - 33*c**3.\nAnswer: -152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 206552 + 39480 = 0. List the prime factors of (-2)\/12 + f\/96*-4.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -436*r**4 + 13400*r**3 + 876 - 13400*r**3 - 181 wrt r.\nAnswer: -1744*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 9374225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**11\/5544 + q**7\/90 - 5*q**4\/6 + 47*q. Let u(h) be the third derivative of z(h). Find the third derivative of u(b) wrt b.\nAnswer: 1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 54) + -2 + 1 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) + (-10)\/2. Let t be -1*3*(n + 4). Let w(l) = -18*l**3 - 2*l**2 + 2*l - 2. Let u be w(t). What is u rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8643470*k**2 - 2763176*k - 2?\nAnswer: -17286940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 4 = -47*m. Let k(a) = 1 + 11*a**2 + 10*a**2 - 31*a**2 - 2*a + 9*a**m. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 59*n**2. Let c(a) = 2*a + 1. Let r(u) = -u - 1. Let t(v) = -2*c(v) - 2*r(v). What is s(t(o))?\nAnswer: 236*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-42) - 404\/56 - ((3 - 8) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2789 = -5*m + 2646. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1026, 1029, 1032?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3055\/(-63 + 110) - 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.69 - -2.81. Let l = k + -0.32. What is the third smallest value in l, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -18. Let x = -157\/7740 + -1\/516. Let l = -53\/360 - x. Does l = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/9 (c) -11 (d) 133 (e) -8 (f) -0.4 (g) 25.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 27*x**2 - 38*x - 246. Give t(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t - 13863 = 31*t - 4563 for t.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c + (-5 + 2 + 2)*(0*c + 4*c - 3*c))*(2*c**4 + 2*c**4 - 2*c**4).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:48 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -513*y**4\/4 - 2*y**2 - 48*y + 1859. Find the second derivative of j(w) wrt w.\nAnswer: -3078*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 11*a + 9113. Let w = a - 422. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/7 + 36*b**2 - 756*b = 0 for b.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 2 - -2)\/1. Let p be (-8)\/3 - 2\/6. Sort p, x, 5.\nAnswer: p, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10469338 is divided by 2940?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18437 is divided by 461?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349460352 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206851 - 21545 = 83*j - 486994. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 4*s - 75*m + 70*m, 3*m = -s - 50 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 7}. Give prob of sequence nnn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1053) + -1 - sqrt(130)\/(sqrt(360)*-2 + sqrt(10)))**2.\nAnswer: 400*sqrt(13)\/11 + 130484\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19171 is divided by 4144?\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 34186766*c - 60 - 34186766*c - 122*c**2 as n*c**2 + f + p*c and give n.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14.61795282528 - 69\nAnswer: -83.61795282528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553168 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.1, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b + 5. Solve 0 = 4*a - b*i + i + 16, a + 10 = 3*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6979*h**3 + 15225*h**2 wrt h.\nAnswer: -41874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*t - 994 = -419*t - 316*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*j - 127*j**2 + 59*j - 5 + 1 - 85*j**2 wrt j.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 - 8*b + 2. Let f be p(-8). Solve -o - f*o - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + ((sqrt(132) + sqrt(132) + sqrt(132)*1)*-5 - sqrt(132)))\/(-1*sqrt(48)\/sqrt(4)))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:04 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*t - 21, 2*t - 148 + 154 = -2*c. Put -3, -1, c, 336 in ascending order.\nAnswer: -3, -1, c, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-275)\/(-10)))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 105. Let a = 94 + h. Suppose 2*z + s = z, 12 = -a*z - s. Which is greater: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761393 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1757*j + 78. Let r(n) = -734426*n - 32630. Let t(b) = -1255*p(b) - 3*r(b). Let i(w) = -2*w. Calculate t(i(l)).\nAnswer: 3514*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2 (c) -1377 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83153*i**5 + 65*i + 29*i + 1722*i**4 - 83155*i**5 wrt i?\nAnswer: -40*i**3 + 20664*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69165307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m + 1281 = -154*m + 3920 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 132, 263, 394, 525, 656?\n\"Answer: 131*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 25, -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s - s**2 + (s + 4*s - 33*s)*(-2*s + s + 2*s))*(22*s**2 - 508*s + 508*s) in the form n*s**3 + p*s**4 + a + y*s + u*s**2 and give p.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6846 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/14)\/(12\/(-14)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-8 - -3) + 4)) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/22 + 37\/407. Is 55 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 88 - 4) + (2 - 17)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.623838 rounded to three dps?\nAnswer: 2.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22974 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 - 230. What is the remainder when w is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21948309 or -21948311?\nAnswer: -21948309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2176101*p. Let x(i) = -i. Determine g(x(h)).\nAnswer: 2176101*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r - 2. Let f be n(7). Is f\/6 - (-215)\/15 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*2)\/sqrt(4))\/(sqrt(40)\/sqrt(20))*2*2.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 24 = -5*m, -3*x + 36 = 799*m - 807*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*o - 19, 4*o - 2*p = o + 19. Suppose a = 4*f + o, 0 = -2*f - 2*a - 0*a + 10. Let y be 1\/(-2)*(f + 0). Solve y*j + 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*32\/(-24))\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 396343814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 317 + 377 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-12))\/(4\/(-3)). Let s(y) = -y**3 - 2*y**2 - 2*y - 3. Let m be s(-2). What is the nearest to 0 in -3, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = -t, 3*g = -4*t + 50 - 6. Suppose 3*z = -403 - 233. Let b = -140 - z. What is the greatest common factor of b and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -16071 + 50756. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -62. Let u = -108579.0065 - -108611. Let x = c + u. What is x rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -243, -465, -687?\n\"Answer: -222*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 49*o**2 - 208*o + 2. Give j(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmh when three letters picked without replacement from mmqhmmqwmqhhmm.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49259 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135541739 - -135541739.63445189. Let x = 0.6344 - n. Round x to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(363) + 0 - sqrt(363)) + (sqrt(363) + 3)*-3)**2 + -3.\nAnswer: 264*sqrt(3) + 3280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*10\/(-75))\/((-36)\/10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*l - 161*l + 69 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*j + 60, -5*j - 4*c + 92 = -22. Suppose 0*t = t - j. Let r = -18 + t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1665*w - 15066.\nAnswer: (w - 9)*(w + 1674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1072*z - 780*z - 5250 + 2097 - 7959 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 6) + (2 - (-28)\/20). Let u be (63\/(-15) - -3)*(-2)\/12. Sort w, 1, u in ascending order.\nAnswer: w, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*a = 16, 5*x = -68*a + 69*a - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14187 is divided by 120?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d36 - 4?\nAnswer: d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 70653.35 centimeters?\nAnswer: 706533500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**3 + 205*x**2 + 430*x - 120.\nAnswer: -5*(x - 12)*(x + 2)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0*f**4 - f**4)*(-1 + 30*f + 1).\nAnswer: -60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -42*r + 570. Determine q(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10751 - 1?\nAnswer: -10752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12)*3)\/((-11)\/(-143))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 - -413. Let t(m) = -m**2 + 7*m - 5. Let u be t(4). What is the highest common divisor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 485092081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 13. Let i be h(4). Suppose 18 = -i*p + 48. Solve p = -5*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -4. Let h = o - -3. Let r = 3.8 + h. Is r greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3203*p**5 + p**2 + 101*p?\nAnswer: 192180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -3, -15.0637, 4, -1\/2, 1\/2, 2?\nAnswer: -15.0637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 988430.\nAnswer: 988430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4641 + 4949. What is the remainder when t is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04662 rounded to 3 decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1687703, 1687704, 1687709, 1687718, 1687731?\nAnswer: 1687748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -121*h + 15. Is 14 a factor of q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, j: 7, u: 4, o: 4, a: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-6))\/((-200)\/48 - -4). Solve 2*s - 2*u - 2*u = -10, -4*s = -3*u + t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-48)*-27 - (18 - 55).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6031*r**3 + 17 - 17 + 3524*r**3.\nAnswer: 9555*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*j - 59 = 98*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/10 - 5*l**4\/24 - l**3\/2 - l**2. Let s(m) = 5*m**2 - 4*m - 2. Suppose -17*x = -2*x + 30. What is x*n(d) + 3*s(d)?\nAnswer: 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. Suppose -l*x + 44 = 24. Which is the second smallest value? (a) 0 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3351 - -3475. Calculate the highest common divisor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -19\/3*q**3 - 26*q + 19\/12*q**4 + 0*q**2 + 0. Find the second derivative of t(n) wrt n.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/220 - 2*z**5\/55 - 33*z**2. Let h(l) = 0. What is l?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/6 + p**3\/2 - p. Suppose -2*x - 2*q + 7 = -5*x, 5*x - 4*q = -11. Let i be x\/(-18) - (-121)\/66. What is f(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 divided by -2.\nAnswer: -355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 4*c + 0 = -54, 6*c - 18 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 44 - 236. Let x = -37 - m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 485 - 481. Suppose 1 = -5*y - 49. Which is the second biggest value? (a) -1\/3 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)\/j*j*(j\/j**(-2\/5))\/j)**17\/((j**(-1))**44*(j\/(j*j*j*j*j\/j**(3\/2)))\/(j\/(j\/(j**(-3\/2)\/j))*j)) assuming j is positive.\nAnswer: j**(1898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -1a19?\nAnswer: -1a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101326*g = 102312*g - 62118 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let m(r) = 10. Let n(q) = -3*k(q) - m(q). Let v be n(11). What is the highest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - 13*s - 20. Let x be b(-5). Let i = -92 + x. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g - 1. Let i be l(-5). Find s such that 0*s**2 - 4*s + 10*s**5 - 10*s**2 - 8*s**3 - 4*s**2 + 2*s**3 + 14*s**i = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**3\/3 - 9*r**2\/2 - 7*r - 3901. What is c(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u**(-2\/27)\/u*u)\/u))*u**(2\/19))**(-13) assuming u is positive.\nAnswer: u**(6461\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-1)\/26*(17 - 21)). Suppose -l*p + 315 = -2285. What is the highest common divisor of 150 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -0.24. Let s = -1 + 6. Let p = s + -5.2. Sort l, p, 2.\nAnswer: l, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.377 rounded to 0 dps?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:07 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1812, -2365, -2918, -3471, -4024?\nAnswer: -4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/22 and -101\/164894.\nAnswer: 1813834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*c + 18*i - 10 - 26, 0 = 15*c + 6*i - 2*i - 90 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 113. Solve -12*h + 3*h = -j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1440\nAnswer: -1\/1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2296\/(-56) + (-76)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 2*c**6\/15 + 2*c**2 + 7*c. Differentiate s(p) with respect to p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {n: 1, c: 1, w: 1, j: 5, y: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.24, 0, -11, 56\/449?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2. Let q = -7 - -11. Suppose -4*y + 0*y = -q. What is the lowest common multiple of 23 and n(y)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29406 + -29347. What is the remainder when 1348 is divided by t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 20. Suppose 0 = 2*p + 6, 2*c = -0*c - 2*p - o. Calculate the lowest common multiple of 2 and (-4)\/6 + (-38)\/c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -20. Suppose 0 = g*n + 83 - 293. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*h**2 - 123*h**2 - 163 - 270*h**2 + 116*h**2 - 22 wrt h?\nAnswer: -724*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304)*-2*-2)*2.\nAnswer: -2 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:26 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q**3 + 84*q**2 - 2492*q. Let s(l) = 8*l**3 + 41*l**2 - 1246*l. Let r(f) = 5*s(f) - 3*y(f). Find the second derivative of r(u) wrt u.\nAnswer: 6*u - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -25. Calculate the greatest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**0*j\/j**1*(j**(-3)\/j)\/j**(-8\/7))\/((j*(j*j\/(j\/(j\/(j**(1\/16)*j)*j)*j)*j*j*j)\/j)\/j*j**(-8))**(-27) assuming j is positive.\nAnswer: j**(-15405\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525072 is divided by 87492?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*z + 347, 2*z = 13*r - 5060 + 6617 for r.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (267\/2)\/(63\/(-168)). Is ((-5596)\/(-6))\/((-18)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*h - 2*h. Let l = h + -18. Let q(y) = 10*y**2 - 5*y + 4. List the prime factors of q(l).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 99 = o. Solve 0 = -h, -5*y + o*h - 3*h = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.013 from -368.096785.\nAnswer: -368.083785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -16c?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 32 = 26*m, -324*t + 319*t - 110 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -62. List the prime factors of a*3\/12*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(58\/(-5) + 2). Suppose 52*m = p*m + 8. Solve -2*f + x + 0*x = 3, m*f + 5*x = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772576 is divided by 8989.\nAnswer: 8511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9747788.\nAnswer: 2, 233, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21905 is divided by 327?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 101*h - 20701. Give s(205).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 36 = -10*b. Let h(t) = 2*t. Let s be h(3). Is s\/4*4236\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(432) + 2 + -3.\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20063730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -d + 3*j, d - 7 = -5*j + 4*j. Calculate the highest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18788)\/(-13420))\/(8\/6*18\/30)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39148 at most as big as 39162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 10*l - 12. Let t be c(6). Let n be -1 + 4 + 14 + t\/4. Solve j - 6*j + n = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-85)*-1*(-1)\/((-12)\/(-6))*2.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-8 + 6)*(2 + (-6 - -1)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d - 2356. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4724 (b) -1\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22487 and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*d - 6*d = -10*d + 26, -15*d = -328*r - 11*d + 1292 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 78 = 3*z, -66 = -3*z + z + 5*m. Let t(a) = 86*a - 1369. Let p be t(16). What is the highest common divisor of z and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -7*l**5\/10 + 397*l**4\/12 + 38*l**3\/3 - 4*l**2 + 2*l - 61. Suppose q(b) = 0. Calculate b.\nAnswer: -2\/21, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 2*c**2 - c**2 + (c**2 - 2*c + 2*c)*(5 - 20 + 6).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2. Let i be m(-1). Suppose -26*x = -25*x - 1. Which is the nearest to i? (a) -1\/5 (b) -0.21 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from {t: 3, g: 5, u: 2, l: 2, z: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 595*j**3 - 10050*j**2.\nAnswer: 5*j**2*(j - 134)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8221073 to the nearest integer?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/((15\/(-9))\/(-5)). Let u = -30 - n. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 + 5*p - 3. Suppose k - 6*k = 0. Let l = 6 - k. Let h = 9 - l. Give b(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780846769 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 181.071ms?\nAnswer: 181071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22062 to 3 decimal places.\nAnswer: 0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 23, 4\/19, 0.052?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4196 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811756949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k - 5, -4*u + 2*k + 18 = 0. Suppose m = -3*v - 6, u*m = -3*m - 2*v - 4. What is the units digit of 2\/6*(m + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 128. Let z = -1186\/9 + a. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 - n - 24. Let l be w(4). Suppose 5*t - l*d = 8, -3*d + 11 - 17 = 0. Solve -4*u - 5*k - 33 = t, 5*u - 3*k + 25 = -6*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpuic. Give prob of picking 1 i and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 9. Let o be -3 + (-3 - 0\/3). Let p be m(o). Let s = -11 + 17. Solve -s*v + p*v = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/465, 13, -1.1, 2\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170, 345, 520, 695?\n\"Answer: 175*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 11:01 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*z + 2100 - 14091, -5*z = -3*k - 29976. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -122533 and -9.7?\nAnswer: 122523.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11326484887 and 5.\nAnswer: -11326484882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -0.81. Let o = 0.6 + d. What is the biggest value in 0.1, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-5)\/((-30)\/14838). What is the units digit of (3 - (0 + 2))\/((-7)\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-103)\/(-5))\/((-88)\/16). Let w = -28\/11 - f. Factor 0*z + 0 - 3\/5*z**5 - w*z**3 + 9\/5*z**4 + 0*z**2.\nAnswer: -3*z**3*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/7*o + 72\/7*o**3 - 3\/7*o**2 - 3\/7 - 48\/7*o**4.\nAnswer: -3*(o - 1)**2*(4*o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-5))\/(2 + -1 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 3 = 0. Let z = 1 + o. What is the third derivative of z*v**5 + v**2 - v**2 + v**2 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 54 = -71*x. Let s = 31021\/73 - 425. Is s > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16407 - -240?\nAnswer: 16647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s - 5*s)*(2 - 2 - 1) + 2*s + s - 2*s + (4 + s - 4)*(-4 + 0 + 2) to m + u*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 56.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2626.8327s?\nAnswer: 0.72967575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4334\/581 - 17\/166. Calculate the common denominator of -47\/2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15581 + 18493. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2066*j**4 - 1527*j + 101594245.\nAnswer: -8264*j**3 - 1527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/11))**(-1\/4)*v*v**9*v**(3\/7))**(-9) assuming v is positive.\nAnswer: v**(-29223\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:50 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + r)*(3*r - 4*r - r)*(14 + 3*r**2 - 14).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25105 is divided by 322?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 1. Let j(c) = 4*c + 5. Let q(g) = -3*g**2 + 7*g. Let n be q(4). Let a(l) = n*k(l) - 4*j(l). Let d(o) = o. What is a(d(v))?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -331, -1\/100, 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4063069\/22960398 + -814\/4161. What is the common denominator of 31\/10 and b?\nAnswer: 27590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 3:15 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 253783635 less than or equal to 253783636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11094 - -17093. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 9, t: 8}. Give prob of picking 2 w, 1 s, and 1 t.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 + 73 = -5*d. Let z = 253\/4 + d. Let v = -3 + 4. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -20.\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*a - 577 = -113*a + 1929 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/216 - 497\/84 - (1272024 + 0). Round d to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:59 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 843055202 times -5?\nAnswer: -4215276010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 311 - 308. Suppose -8*i + p*i + 1070 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htnhe. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23701 + -16726. Suppose 5*g = r + m, 7*g - 3*g - r - 5580 = 0. Is 93 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k + 0*k)*(3 - 4 - 1) + 4*k - 4*k - 18*k in the form a + s*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3409000 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = 5*k - 30*y - 209530004, -5*y = -2*k + 83811990. What is k rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + v. Let y = 20 + -19. Let t(z) = z**2 + z + 1. What is y*h(p) - t(p)?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7946852 divided by -2.\nAnswer: 3973426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 11 - 163 - 51 + 3*t - 106 to o + j*t and give o.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 16*r. Let v(f) = -9*f**2 - 49*f. Let h = 35384 - 35373. Calculate h*c(a) - 4*v(a).\nAnswer: 3*a**2 + 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 6*a - 4. Let x be w(5). Let b be (-1)\/(-2) + 21\/(-14). Let j be b - 0 - (-7 + 1). Put j, -7, x in decreasing order.\nAnswer: j, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*z + 7*m - 30, -5*z + m - 15 = 0. Suppose -4*u + 2*u = -4. Let p(t) = 0*t - 68*t**2 + 3*t + 73*t**u. Give p(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-10) + -2 + (-24)\/(-15). Let y be (-4)\/(-120)*3*(1 + x). Which is the nearest to 0? (a) 1 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2168253?\nAnswer: 650475.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107218818 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/67157096 and -3\/2201872.\nAnswer: 134314192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 4. Let p be j(7). Let q = p - -55. Calculate the remainder when 32 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose 4*q = k*y + 2*q, 0 = 3*y - 4*q. Solve 9 = -3*u - y*u + a, 2*u - 3*a + 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*z + 11 = 34, -2*v = 2*z + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(3 + 1)*1\/(-4). Suppose -1067 = -6*m - k*m. 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 the value of 7 + -1 + (0 + 4\/(-12))*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+2777842034786\nAnswer: 2777842034785.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - 2 + 2)*((-3 - 3 - 1)*(0 + 1 - 3) - 9 + 51 + 0) to x*r**2 + v + m*r and give x.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 30*y - 95. Suppose -17*g + 36 = -8*g. Let w be q(g). Solve 5 = 5*x + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -33. Let b = n + 9. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10919, -11534, -12533, -13916, -15683?\n\"Answer: -192*d**2 - 39*d - 10688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 + 14*y**3 + 10*y**3)*(-3*y - 4*y + 5*y)*(4*y - y + 0*y).\nAnswer: -180*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*d - 17*d + 45*d)*((1 - 1 + 1)*(-84 + 99*d**2 + 84) + (2*d**2 + d**2 - 2*d**2)*(2 - 1 + 0) - 5*d**2 + 3*d**2 + 0*d**2).\nAnswer: 7154*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*p + 2*z - 797, 645 = -4*p - z. Let c = -162 - p. Sort c, 1, 2, -4 in decreasing order.\nAnswer: 2, 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 992\/3178 - 2\/7. Let d = -6637\/2043 + j. Let i = d - -359\/117. Which is the closest to -6? (a) 4 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2147 (c) 1\/3 (d) 16\/343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 117?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1458 + 23425\/16. Let o = -409\/6 - -443\/3. Let b = o + -299\/4. Calculate the common denominator of x and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -0.055?\nAnswer: 46.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 146, 322, 546, 836, 1210, 1686?\n\"Answer: 3*n**3 + 6*n**2 + 137*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365.864801 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 > 12122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -943752*p**2 + 10*p - 8. Let j be g(4). Round j to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1610*x + 16081. What is t(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 351*i + 7 + 53*i - 318*i in the form m + z*i and give z.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 960?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 28 - 8. Suppose t*i = 6*i. Suppose 0 = y - i*y. What is the second smallest value in y, -4, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -1 (c) -2.8 (d) -28 (e) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 14*g = 21. Let z(t) = 2*t - 8. Give z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 812488000 to the nearest one million.\nAnswer: 812000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)\/(1105\/(-26) + 8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -627477*u**4*x + 1983*u*x - 7*u - 2*x + 4 wrt u.\nAnswer: -7529724*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 2. Let r(y) = -y**2 + 5. Let w = -374 - -369. What is w*q(l) + 2*r(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*l**4 - 73 - 38 + 2*l**3 - 44 wrt l.\nAnswer: -168*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000233335073 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/13 (b) 0.2 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2 + 353928*t + 15658128648 = 0.\nAnswer: -88482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131323 (base 9) to base 3.\nAnswer: 10011001100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.57 and 1.90771?\nAnswer: 1.0873947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 7*j, -5*f + j - 1 = -2*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67800000 to the power of 1\/2, to the nearest integer?\nAnswer: 8234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let w be 3 - 4\/((-8)\/(-2)). Is r greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1122 and 7191?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5572 and -33?\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7863*r - 892992 = 1439*r for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257762 is divided by 15513.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*k + 28*k + 4*k = 1152 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*d - 16*d**2 - 32*d + d to the form j + h*d**2 + m*d and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98.4 - -111. Let a = v + -0.6. Let g = a - 10.6. What is the biggest value in -0.5, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**4 + s - 1. Suppose -2*v + 48 - 46 = 0. Let t(j) = 21*j**4 - 13*j + 3. Let b(f) = v*t(f) + 3*r(f). Find the second derivative of b(m) wrt m.\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4705?\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let s(v) = -v**3 + 5*v**2 - 5*v + 3. Let f be s(r). Let p be (-22)\/(-12) + (5 - 7). Which is the third smallest value? (a) p (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1218, -4397, -9694, -17109?\nAnswer: -26642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77 and -0.20331657051.\nAnswer: 76.79668342949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 15. Let p = -3 - g. Suppose 5*y + 12 = 4*d - 35, 0 = 4*d + p*y - 23. Calculate the least common multiple of d and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*a**2*w - a**2 + a*q**2 + 958*a*q - 82873*q**2*w - 1305*q**2 wrt w?\nAnswer: -35*a**2 - 82873*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + -3*(sqrt(242) + 2))**2 + 3 + (2*2*sqrt(242))**2)*-4.\nAnswer: -24448 - 2112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -0.5, -31, -2, -0.07, 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -173430211*h. Let z(v) = -2*v. What is w(z(d))?\nAnswer: 346860422*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704766010?\nAnswer: 2, 5, 13, 37, 146521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -26*s**2 + 11. Let q(y) = 13*y**2 - 6. Calculate 11*q(a) + 6*v(a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38433 and 2553.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-4 - (-33 - 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 202626?\nAnswer: 4\/101313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -33. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -955, -7645, -25761, -61015, -119119, -205785, -326725, -487651?\n\"Answer: -952*d**3 - d**2 - 23*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -1529, -2232, -2897, -3524, -4113?\nAnswer: -4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289 or -290?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329981249 to the nearest integer?\nAnswer: 18165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = 5*t + 2, 4*t = -5*s - 6. Let v be (s + 14\/6)*9. Differentiate 1 - v + l**2 + 3 with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*r - 6 = 0, -1473*r + 15 = 7*n - 1471*r. Suppose -y + 2*x = -59, -y + 4*x = -89 + 26. What is the second biggest value in n, y, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1355\nAnswer: -406.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4684843\/70 - -66925. Calculate the common denominator of -43\/4 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Suppose -h - 2 - 2 = 0. Let n = 6 + h. Let d(r) = -r + 0*r + n*r. Calculate d(a(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1028504 + 84?\nAnswer: -1028410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/248 and -85\/188.\nAnswer: 11656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 50. Let h = 57 + y. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1837474?\nAnswer: -5\/1837474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1119 + 932 + 1096 + 5*n - 2861 - 3*n. Let l(d) = -13*d**2. Calculate w(l(f)).\nAnswer: -26*f**2 + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/13 (b) 1\/3 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 9*i + 31. Give x(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6010739 and 472989.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*c + 7*c. Suppose 138 = 17*b + c*b. What is the highest common divisor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1870 * -0.012.\nAnswer: 22.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 64 - 75 + 127 + 0*g.\nAnswer: -2*g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00421596 rounded to 5 decimal places?\nAnswer: -0.00422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 3)*(-1 + 3 - 3)*(3*a + 3*a**3 - 3*a + (5*a - 4*a - 2*a)*(-4*a + 4*a - 2*a**2)) as q*a**3 + r*a**2 + v + x*a and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -22159896?\nAnswer: -110799480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.06. Let r = q - 21.14. Let i = r + 21.0118. Round i to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)*x*x**28 assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7 + 6 - 1 + 8*j + 6. Let k(m) = -17*m - 9. Determine -13*f(b) - 6*k(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -5*m**2\/2 - 20*m + 21. Calculate the lowest common multiple of g(-6) and 236\/8 + 2\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -388 in 2\/13, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-23 - 3) + 49) - 31?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/33 (b) -0.4 (c) -2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 180833*i**3.\nAnswer: -180833*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 401931670*z - 8077453367449445 = 0. What is z?\nAnswer: 40193167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1}. What is prob of sequence jz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83627 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/2242114 and -33\/27545972?\nAnswer: 192821804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287.96112 + 288. Round f to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*c + 20, -34*k + 16 = -2*c - 36*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 155 (b) -1\/6 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2624 and 515288?\nAnswer: 4122304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*d**2*s**2 - 15*d*s**3 + 10*s**3 wrt d.\nAnswer: 22*d*s**2 - 15*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 13*k + 103. Let d be y(11). What is the greatest common divisor of 216 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 124847970.\nAnswer: 249695940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 4 (c) -10 (d) -2 (e) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -40*p**4 - 13668*p**3 + 87388*p**2 - 107256*p - 25056 = 0.\nAnswer: -348, -1\/5, 2, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7 - 2 - 3)*(1 - 7 + 3) + 4 - 1 - 1 + (0 - 4 + 3)*(-3 + 2 + 3) - 2 + 1 + 0)*(-173*a - 6011 + 6011) to t*a + w and give t.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let g be (h\/(-6))\/((-5)\/30). Solve u + 10 = g*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 * -0.01\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1713498 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 147827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101913525 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let s(n) = -15*n**2 - 5*n**2 + 19*n**2. Give s(l(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.6. Which is the closest to -1\/3? (a) -6\/7 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 530.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-10))\/((-6)\/(-20)). Let r be (6\/4 - 1)*d. Solve 7*h - r*h = -4*l + 36, 12 = 4*l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6168169kg?\nAnswer: 616.8169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-3)\/30). Suppose 3*r + 2*g - 5 = 2*r, f*r + 2*g - 17 = 0. Suppose 0 = l + 3*o - r, -3*l + 4*o + 22 = -0*o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -0.686045, -0.5 in descending order.\nAnswer: 4, 0.2, -0.5, -0.686045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -4 - (-1 - -1)) + (14 - (-7 - -2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5116?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4212 is divided by 134?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-5)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*a + 8*a + 3351, 2*x = 3*a + 1677. What are the prime factors of x?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*z + 229*z + 6*z**3 - 113*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*z + 386 + 14 + 189 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/(-2) + 1\/(-2) is divided by (2 + 1 + -1)*(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/((-945)\/36)*(-6)\/4 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -601 + 1089. What is the greatest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6 = -3*s, s + 25 = -5*t + 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4236 + -819. Is p a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11114048 and 88.\nAnswer: 11114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d, -3 = -3*x + 5*d. Suppose -l - 4 = w + 2*l, 0 = 2*w + l - 12. Let k = 7 - w. Is k less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 4, 0 in ascending order.\nAnswer: -418, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1956*z + p = 3935*z - 1975*z - 68, -3*z + 44 = p for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5706339\/11 or 518758?\nAnswer: 518758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -62 + (-38 - -73) - -53\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15331, 15337, 15343, 15349?\n\"Answer: 6*a + 15325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**6\/480 - 17*t**5\/120 + 271*t**4\/96 + 51*t**3\/4 - 1845*t**2. Factor r(w).\nAnswer: (w - 18)*(w - 17)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -133, -224, -341, -496, -701, -968, -1309?\n\"Answer: -2*u**3 + 5*u**2 - 78*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -333660 divided by -498?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 34*g**2 + 341*g**2 - 233*g**2 - 2 - 3.\nAnswer: 74*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*c + 28*c + 2*c**4 + (-3 - c**3 + 3)*(17 - 40 + 26 + 4*c) as a*c + y*c**3 + r + x*c**4 + g*c**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/48 + (-2)\/(-8). Suppose 0 = 5*c + 27 - u, -4*c - 86 = -3*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*a + 2*a - 78 = 0, a = 5*b + 81. Let m(d) = 2*d + 2. Let p be m(5). Let q = p + b. Let c(i) = -i**2 - 2*i. What is c(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 40 - 0\/(27 + (-6 - 19))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 + 3.619. Let r = -1.6 + m. Which is the third smallest value? (a) 13 (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1475.99992493 + -1476. What is o rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12629.6 - -12629.8. Let p = -4\/15 + -2\/5. What is the nearest to 0 in p, k, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 - 9*x**3 - 9*x**2 + (4*x + 0*x + 3*x)*(-x**2 + x**2 - 5*x**2) + (4*x + x - 3*x)*(-x**2 + 0*x**2 - 2*x**2))*(-2*x - x + 2*x).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c - 23*c - 17*c + 3*s + 27 = 0, -17*s - 18 = c - 15*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162834 - -213422624?\nAnswer: 219585458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 6a?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 325*q**2\/3 - 1337*q\/3 - 2303.\nAnswer: (q - 7)*(q + 3)*(q + 329)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*g + 8 = -3*n, -3*g = 4*n - 51. Suppose -n*q = -4*q - 30. Solve -q = 2*a - 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821142798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*r + 4*z + 12, 0 = -4*r + 2*z - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132316*j + 33120 = 132661*j for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 0, 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916172 is divided by 100?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, 2.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 0, b = 4*b + 4*t - 3371. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -157302110.0673?\nAnswer: -157302110.4673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2. Let b(u) = 2*u**2 + 7*u**2 + u**2. Determine c(b(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 205*z - 4112. Let j be s(20). Let q(w) = -w**2 - 11*w + 3. Calculate q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-8)\/10)\/(-4)). Let l be g\/(-30) + (-28)\/(-72). Put -3\/4, l, -1 in decreasing order.\nAnswer: l, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 4*x + 31, 0 = h - 2*x - 11. Solve 3*m = h + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48081 - 48243.841. Let j = 20.6 + 142.4. Let y = g + j. Round y to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9*x - 35. Suppose w - 2*m = m - x, -w + 4*m - 9 = 0. Let h be (-24)\/18 - (-3 - w). Is 1 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 8*g**2 + 17*g - 13. Suppose -16*j + 156 = 76. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadpaarraafrfayaraaa. Give prob of sequence rry.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235)\/20 - (2 - ((-7)\/((-308)\/429) + -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363544 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let u(p) = -1. Let i(c) = -4*c - 15 + c + 13. Let f(s) = i(s) - 2*u(s). Give f(a(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0847079 decades in years?\nAnswer: 0.847079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3111 and 95\/232898.\nAnswer: 11877798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 293458064 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 + m**3 - 2*m**2 + m - 1. Let r(s) = 5*s**4 + 11*s**3 - 12*s**2 + 32*s - 4. Let t(g) = -6*b(g) + r(g). Find the second derivative of t(p) wrt p.\nAnswer: 132*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723532719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/475848 and 11\/39654.\nAnswer: 475848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404 + 399. What is the third smallest value in a, 0.2, 2\/115?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 12. Suppose -3*p - 13 = 3*s + 2*s, -5*p + h*s = -35. Suppose 0 = p*i - 4*c - 212, -204 = -2*i - 2*i - 4*c. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -28*c - 11. Let w(l) = 9*l + 4. Let k be 11 + (4\/(-1))\/1. Let h(v) = k*w(v) + 2*r(v). Let z(g) = -6*g - 5. Determine 5*h(t) + 6*z(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -1561, -3482, -6165?\nAnswer: -9610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -661779640, -661779639, -661779638, -661779637, -661779636?\n\"Answer: r - 661779641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7956 and 90.\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -747\/5 + 150. Which is the third smallest value? (a) -3 (b) x (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 52, 76, 100, 124, 148?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 10*g + 12. Let n be c(-9). Let r(p) = -p**2 + 4*p + 7. Let x = -4 + 9. Let l be r(x). Put l, -2, n in increasing order.\nAnswer: -2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 4 = 0. Let w = a + 6. Let 2\/7 - 2\/7*j**w + 0*j = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -37, -73, -121, -181, -253, -337?\n\"Answer: -6*m**2 - 6*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/12 - 2*v. Suppose 49 + 11 = 5*y. Let j(m) = 15*m + 16*m - 35*m + y*m. Calculate j(h(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5610 and 2550?\nAnswer: 28050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 19. Let i be j(-4). Let m be ((-1)\/i)\/(1\/(-5)). Factor 2\/7*z - m*z**4 + 1\/7 - 2\/7*z**3 + 0*z**2.\nAnswer: -(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 7*j**6\/60 - 19*j**5\/40 + j**4\/3 + j**3\/3 + 6*j + 9. Let u(a) be the first derivative of t(a). Solve u(h) = 0 for h.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 1460740*w**3 + 106686606630*w**2 + 213377595500*w + 106689528125.\nAnswer: 5*(w - 146075)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1 + (-5)\/2730*21306 + 38?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 19*f - 90. Let g be -4 + -3 + f*3. Solve 4*y + g*s - 5*s = 5, 5*y = -5*s + 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/22261 and -59\/5.\nAnswer: 111305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 758388 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208739627.\nAnswer: 208739627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1896674, 1896672, 1896670, 1896668?\nAnswer: 1896666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 475 or 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 30*q**3 - q**2 + 1. Let w = 2 - 1. Let i be r(w). What are the prime factors of i\/2 - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 + j. Let u(a) = -2*a + 3*a - a + 3*a. What is c(u(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34134691 - -34140893.6557. Let z = d + -6203. Let f = -0.331 - z. Round f to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -10. Let a(l) = l**3 + 4*l**2 - 6*l + 1. What are the prime factors of a(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a**2 + 21*a + 44. Let p(k) = 5*k**2 - 7*k - 15. Let w(m) = -3*g(m) - 8*p(m). Does 36 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066587 to the power of 1\/2, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513, 1536, 1561, 1588, 1617, 1648, 1681?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Let o(z) = z**3 - 7*z**2 + 6*z + 1. Let a(y) = -2*f(y) - o(y). Calculate a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.77*-24784.\nAnswer: -19083.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 - 38. Calculate the remainder when b is divided by -2*5 + (-11175)\/(-1043) + (-186)\/(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 185 = 5*d, -1527*d + 79 = -1524*d - 5*t. Solve 2*m - d + 27 = -l, -5*l = m - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {r: 4, k: 2, j: 5, f: 8}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgi when three letters picked without replacement from {z: 2, y: 6, q: 4, i: 1, g: 4, l: 2}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6669 + 19919. List the prime factors of m.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139940824, 279881644, 419822462, 559763278, 699704092, 839644904?\nAnswer: 979585714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -5. Suppose j*a - 276 + 101 = 0. Solve -y - a = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-240)\/(-144) - (-2)\/6. Solve -f*h + 7 = 5*r, 5*h = 6*r - 2*r + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.1, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/4 + 7\/12. Which is the closest to 1\/2? (a) -0.2 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -a + 329. Let k(h) = h**2 - h - 3. Determine k(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {c: 2, q: 2, x: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 248 + -76. Suppose 3*c - q = -c. Suppose 0*k - t = k - 27, 0 = -k - 5*t + c. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1050294 rounded to three decimal places?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -1446?\nAnswer: -1446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 11*y**2 + 146*y. Calculate a(9).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -2 (c) 80.65 (d) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (50\/4)\/((-6)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-30)\/64*(-32)\/6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61688 and 105851?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/4, 16656, 5, 11 in decreasing order.\nAnswer: 16656, 11, 21\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/120 - g**5\/6 - 11*g**4\/24 - 5*g**3\/6 + 280*g**2 + 2. Let h be 6\/10 - ((-216)\/15 - -4). Determine s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 155645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n + 190. Let o be t(10). Let h = -16\/5 - -227\/60. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a76 (base 11) in base 8?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258 by 188.\nAnswer: 129\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23588, -2641 in descending order.\nAnswer: 23588, -2, -2641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t**2 + 3*t - 1. Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21696, 43419, 65250, 87189, 109236?\nAnswer: 131391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -49.3. What is the second smallest value in w, 0, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -9)*(-9)\/2. Suppose 3*y = -2*q + f, y + 2*q + 1 = 4. Suppose 5*l + 5*s = -55, 4*s + 26 = -77*l + 76*l. Put y, -1, l, 2 in ascending order.\nAnswer: l, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, c: 1}. Give prob of sequence cg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.228 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -h - 11*q + 7*q, -5*q = -6*h + 658. What is the remainder when h is divided by 62?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 + 226*d + 205*d - 653*d + 221*d.\nAnswer: -d - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 35?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 28 = -6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2 - (6 + 5)) + (29 - 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 4:31 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 10*h**2 - 3*h - 6. Let j be i(-10). Suppose 17*x = j*x - 54971. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4707, -9416, -14125?\nAnswer: -18834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:37 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 - 7 = 0. Let q = 11 - o. Suppose f - 5*p - 40 - 27 = 0, q*p + 16 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5546878 weeks in nanoseconds?\nAnswer: 335475181440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 78*q**2 + 62*q + 287. Let h be j(-40). What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75790, 151591, 227410, 303247, 379102?\n\"Answer: 9*x**2 + 75774*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18605275*b*j**3 + 5*b*j**2 - 2*b*j - 248*j + 7385 wrt j.\nAnswer: -111631650*b*j + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 64*s**2 + 2*s + 69. Determine i(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.0651?\nAnswer: -0.01302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21625 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-581 - 3 - 1). Let o(v) = -5*v**2 - 14*v + 42. Let b be o(7). Let r = b - x. What are the prime factors of r?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -656 - -4?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 145 - 1496?\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7014336 by -2149.\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -4*f**2 + f + 311. Calculate i(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 - 3*u - 10. Let x be z(5). Suppose 0*d + 5*d = -x. List the prime factors of 6 + d - -3*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1050179\/11 + 95471. Let k = 0.3 + 0. Which is the nearest to -0.1? (a) -4 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52 - 0\/(1 + 3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 2*s)*(-2*s - 4*s - 6*s) + (s**2 - 2*s + 2*s)*(14 + 36 + 11).\nAnswer: 73*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 17 + (42 - 13 - 15) + -93\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5 - 21*r**4 + 57*r**3 - 75*r**2 + 48*r - 12 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 6*t**2 - 3*t - 10. Suppose -2*i = -4*w + 2*w - 2, 0 = 3*w - 9. Let y be o(i). Solve -u = -4*l + 14, u - 3 = -5*l + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 75 = -15. Let b(x) = -x**3 - 9*x**2 - 3*x - 1. Let y be b(s). Let r be (2 + (-15)\/10)*y. Does r = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -1. Let q = -14 - b. Let r = q - -22. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1324, -1315, -1292, -1249, -1180?\n\"Answer: g**3 + g**2 - g - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/40)\/(1044\/(-2784)). Let n = -2 - -4. Suppose -y - 4 = -n*y. Which is the second biggest value? (a) -2\/7 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 3*i**5 + i**5 + (2*i**2 + 49 + 87 + 69)*(0 + 6*i**3 + 0) - 2*i**3 + 2*i**5 + 2*i**3 + (-i**4 + 2*i**4 + 0*i**4)*(2*i - i + 0*i).\nAnswer: 17*i**5 + 1230*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 1096*k**3 - 122828*k**2 + 7486776*k - 93325122.\nAnswer: -2*(k - 23)**2*(k + 297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.96959349 to 2 dps.\nAnswer: -6.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160527\/48250 + -612\/193. What is the common denominator of (-1 - -1) + (-612)\/132 and z?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 2*g**2 - 3*g**2 + 9*g**3 + 5*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*i + 1\/10*i**3 + 7\/10*i**2 + 9\/10.\nAnswer: (i + 1)*(i + 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 140 = -10*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5077329978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270395*f*o**3*q**3 - f*o**3 - 9*f*o**2*q**3 - 145*f*o*q**3 + 2*o + 5 wrt o.\nAnswer: 1622370*f*q**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3914 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(720) - (0 + sqrt(720))*4))**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let b(n) = -2866*n - 2. What is b(g(s))?\nAnswer: -5732*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 6 + 0*u**3 + 8*u**2 + 0*u**4 + 0*u + 1\/15*u**5. Let i(c) = -4*c**2. Calculate i(w(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*n**4 - 3*n - 1278 with respect to n.\nAnswer: -552*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*v - 18164 - 4635, 30403 = 4*v - 3*i. Suppose -2*d = 2*d - v. Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n + 3. Let z be m(3). Let k = -29 + z. Suppose -4*h = -3*o + 253, -k*o + 2*h = o - 403. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 - 9*u - 6. Let m be f(9). Put 1, -4, m in decreasing order.\nAnswer: 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-166)\/(-6))\/(-12 - -11). Let o = 26 + c. What is g in g**3 + 0 + 0*g + o*g**2 + 2\/3*g**4 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/18*(9\/12)\/((-2)\/16). Let c(i) = 4*i**3 + 3*i**2 + i + 3. Let d be c(3). Is (-3 - -1)\/(w\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -60. Let h be -23 + s - (3 - 1). Suppose -4*t + p + 0*p + 36 = h, 3*t - 2*p = 32. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093819 plus 11666?\nAnswer: 11665.906181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10535*l**2 + 4*l - 10527*l**2 - 4*l. Let j(a) = -a**2 - 4. Let w(f) = 2*f**2 + 9. Let y(c) = -9*j(c) - 4*w(c). Determine y(r(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5 - (2 + 0)) + 1 - (79 - 141)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -602896 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1988\/49 + (-102)\/(-238)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = -2. Let j(n) = -n**2 - 9*n + 5. Let p be j(-8). Suppose d + y = p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12)**(15\/8)*(b**(11\/5))**(-1\/68) assuming b is positive.\nAnswer: b**(7639\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = 24. Suppose 0 - u = -3*x. Find the first derivative of 3*s**3 - 3*s**x + s**4 + 0 + 4 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/33 and (-7)\/4 - -2 - (-555)\/108?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284.3 smaller than 8\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -171*c + 163836 = 142290 for c.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63378 (base 12) to base 6\nAnswer: 2442232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(1566*q - 1566*q - 1552*q**2).\nAnswer: 1552*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-6)\/(-18))\/((-18)\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/5 - 37*b**4\/6 + 52*b**3\/3 + 17*b**2 + 2*b. Determine m, given that z(m) = 0.\nAnswer: -13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h - 21. Let t be x(3). Solve 2*o = -0*o + t*c - 1, -o - 3*c - 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 15. Calculate the remainder when (-2)\/(-13) - (-1344)\/52 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 1239*f**5\/20 + f**4\/12 - 575*f**3\/3 + 401*f**2. Find the second derivative of k(v) wrt v.\nAnswer: 7434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70004675?\nAnswer: 5, 13, 215399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 + 2*m**2 + 4*m - 7. Is z(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257411175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485648202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/12 + l**3 - 3*l**2\/2 + 34*l + 2. What is y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607590 divided by 84610?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f. Let s(h) = 4*h. Give s(v(x)).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/85 and 56\/553911.\nAnswer: 2769555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {z: 1, b: 1, r: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 320044 (base 6) to base 15\nAnswer: 7a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -23634?\nAnswer: -23628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let x(v) be the second derivative of 8*v**3\/3 - 5*v**2\/2 + 39*v. Let u(d) = 78*d - 26. Let o(i) = -5*u(i) + 26*x(i). Give o(n(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {q: 1, p: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.68 - -1.68. Which is the closest to 1? (a) -1\/5 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = z + 18, 2*c - 90 = 6*c - 5*z. Let v = c + 18. What are the prime factors of v\/(-4) - 245\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -363, -229, 283, 1299, 2945, 5347, 8631?\nAnswer: 12923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*6\/4. Is 11 - (2\/(-2))\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) - 18\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20528.48 to the nearest 10.\nAnswer: 20530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 35*w**2 + 538*w + 2372. Determine v(-13).\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from mccmccmmccmcccmccc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**4 + 3*j**3*n**2 - 4*j*n**2 - 99*n**2 wrt j.\nAnswer: 8*j**3 + 9*j**2*n**2 - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 4*n**2 - 9*n + 6. Let p be u(-7). What are the prime factors of (-8)\/6 + p\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*z - 3*z - 9 = 0, -2*w + 2*z = -8. Suppose -v = 5*o - 1206, w*v - 2*o - 6007 = -4*o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 77*f - 2. Calculate g(14).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/38 (b) -0.37 (c) -8\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (11 + -30 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -98*d - 3722. Determine m(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = 747*n - 775*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -281*y + 3195. Let a be z(11). Solve -97*c = -110*c - a for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 - 15 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 29 + 3*y**2 - 13.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 3, n: 1}. Give prob of sequence xnx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3127)\/(-5) - 50\/125)*(10603 + 9). What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17433?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s + 6. Let w(m) = 3*m**3 - 10*m**2 + m - 3. Let y be w(s). What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55158 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 142796185 divided by -7\nAnswer: -20399455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10842156 by 2710539.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.3 (b) -1 (c) -0.1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000416221 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1970123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 97 times 0.06059\nAnswer: 5.87723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74184 and 2195453?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 16 = 4*s, -5*s = 11*h - 10*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.357 + -0.097. Let x = q + 0.54. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89310 + 149762 = 44*p - 435868. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*x = -56, -3*x - 249 = -f - 228 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 3\/35, -122, 7\/332?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 23 - (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*h - 614, 619 = -2*h + 6*h + 3*v. Is 153 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 9:17 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (28 + -23) - (3 - 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 21\/244574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97979547?\nAnswer: 3, 32659849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96 or -26?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 191*a**2 - 197*a**2 - 5*a + 5*a. Let v(g) = -8*g**2. Give p(v(m)).\nAnswer: -384*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4945729448 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23977 from 3729.5.\nAnswer: -20247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l + l)*(33267*l - 121*l - 3664*l + 3911*l + 11257*l).\nAnswer: 133950*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8572, -13624, -4, -3, 2 in ascending order.\nAnswer: -13624, -4, -3, 2, 8572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2. Let l be c(-5). Suppose -l*y - j + 165 + 96 = 0, 2*y - 5*j = 157. Let m = y + -37. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14877 and 15293556.\nAnswer: 15293556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 52. Let k be b(-6). Find the third derivative of 11*n**2 - 4*n**5 + 13*n**4 - 2*n**2 - 8*n**4 + 2*n**k wrt n.\nAnswer: -240*n**2 + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2, 8, 37.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3011444 (base 6) to base 13\nAnswer: -4c624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (9 - 7\/((-7)\/(-6))). Solve -5*x + 10 = w, -6*x + 5*x - 18 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {i: 1, q: 1, j: 1, t: 1, c: 1, r: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/30 + (-2)\/15*4650\/(-360). Find u, given that -2\/3*u - p + 2\/9*u**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*z + 2 = -4*u, -5*z = u - 2. Let p = 1034 + -1028. Suppose 16*a = p*a + 50. Solve -a*w = -u*n - 4, -4 - 13 = -w - 5*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 11. List the prime factors of 353\/9 + (h\/9)\/7.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310752 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-308.7.\nAnswer: 5865.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-1\/61)*n**(-1\/4)*n*n\/n**(2\/3)*n*n assuming n is positive.\nAnswer: n**(2269\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -45. Calculate the remainder when 72 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 11*s - 9. Let i be u(12). Let k(d) = -10*d + 3. Let t(w) = 21*w - 6. Let g(c) = i*t(c) + 7*k(c). What is the first derivative of g(j) wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*(-4)\/(-9). Let i be -1 - -5 - (-18 + (-17 - -24)). What is the smallest value in -4\/5, u, i?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.658047374 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1096, 2159, 3224, 4291, 5360?\n\"Answer: q**2 + 1060*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/((-4)\/8). Suppose 238 = l*t + 2*b - 74, 2*t + 4*b = 128. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 48485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:54 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255589 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 1 + 8*n + 5 - 8 to m*n + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.024 + -0.354. Let n = p - -0.54. What is the second biggest value in 3\/5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 10. Suppose 4 = 4*h - 5*k + k, t*h = -5*k + 16. Solve -3*o + 4*r - 1 = 0, 4*o - 3*r - h = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/14092 and 27\/403?\nAnswer: 436852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i - 13*i + 0 - 4*i - i - 4 in the form b*i + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-4 + 4 + 2*i) - 3*i + 4*i + 1 + 3*i.\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/902 and -73\/176.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15744 and 2624?\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**32*r**(-1\/2)*r**14*r assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421443567 to the nearest integer?\nAnswer: 20529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-40)*24\/(-6))\/(-34*(-104)\/(-1105))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55546\/20403 - -1\/4534. What is the common denominator of i and 77\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 + -2.2. Let s = 53.82 + -0.82. Let c = s + -53.2. What is the second smallest value in c, -2\/5, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709852301 to the power of 1\/2, to the nearest integer?\nAnswer: 26643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 2 + (16 - (-9)\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 25069998.14.\nAnswer: -25070003.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310306497?\nAnswer: 3, 31, 3336629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 180*x + 1812. What is the lowest common multiple of 18 and a(-10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 10. Let d be n(8). Suppose -4*t + 14 = 5*g - 3*t, 0 = g - 3*t - d. Let -i**3 - 2*i**3 + g*i**4 + 0*i**4 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -s. Calculate the highest common divisor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.1783 rounded to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7123c - -40?\nAnswer: 7127c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 737659 - -24?\nAnswer: 737683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32232197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50\/1183 (b) -71 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3103 divided by -265\nAnswer: 3103\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 + 1428 = -m + 5*n, -3*n + 108 = 3*m. Solve 3*q + 45*o = m*o - 18, -2*q + 2*o - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-6)\/42) + -5. Suppose -k*s - 30*s + 23552 = 0. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246235332?\nAnswer: 2, 3, 7, 23, 233, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2)*2147\/565\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 428a69aa - -1?\nAnswer: 428a6a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)*u*u)\/(u*u**(-3\/8)))**(-1\/3))**(2\/97) assuming u is positive.\nAnswer: u**(-1\/388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -25.5. Let f = 7 + u. Let z = 0.0837 + -0.1837. What is the closest to 0 in -7, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 15) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8*f - 4 - 3 to the form n + z*f and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and -179.25?\nAnswer: -8424.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*o + o. Let w = 285 + -282. Which is the nearest to -1\/3? (a) -0.3 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 843380 to the nearest one thousand.\nAnswer: 843000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*u - 3*u. What is the lowest common multiple of (218 + -215)\/(6\/110) and u?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 + -331012443?\nAnswer: -331012014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*s**3*t - 35*s**3 + 88*s**2*t + 10*s**2 + s*t - 10*s - 105*t - 517 with respect to t.\nAnswer: -173*s**3 + 88*s**2 + s - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 21*g**2 + 0*g**2 + (-3*g + 5*g - g)*(-g - 5 + 5) - g**2 + 0*g**2 - 2*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9790, -9792, -9794, -9796, -9798, -9800?\n\"Answer: -2*z - 9788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 6*q - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1.37077\nAnswer: 1.37077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -20*z**4 + 2*z**3\/3 - 253*z - 251. What is the derivative of r(j) wrt j?\nAnswer: -240*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/486)\/((-7436)\/(-16731))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5458576, 5458562, 5458550, 5458540?\n\"Answer: p**2 - 17*p + 5458592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2784 by 8.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let m(f) = 386*f. Determine d(m(w)).\nAnswer: 772*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1896445.\nAnswer: 1896445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n - 15*n = -151572. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -28. Factor 5*l**2 + 2*l**v - 1 + 1 - 7*l**3.\nAnswer: -5*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*b**(-2)*b\/b**(-7))**37)**33 assuming b is positive.\nAnswer: b**12210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 5, i: 2, p: 7}. Give prob of sequence pi.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11813 + 7351?\nAnswer: -6482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7143, 10076, 18083, 33714, 59519, 98048, 151851?\nAnswer: 223478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8908423 is divided by 210.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*s + 6*q - 95, -2*s + q = -29. Calculate the remainder when ((-8)\/6)\/(6\/(-288)) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2653 + 1a?\nAnswer: -2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 13}. What is prob of sequence xfxf?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3276 = 123*k - 71*k. Solve 182 = -k*a - 259 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 + 9*i**2 + 10*i + 8. Let j(n) = -3*n**3 - 8*n**2 - 10*n - 8. Let u(a) = 4*c(a) + 5*j(a). What is the hundreds digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 522, 715, 922, 1149, 1402, 1687, 2010?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7099*b**2 + 2*b. Let j(d) = 5*d - 3. What is j(z(v))?\nAnswer: -35495*v**2 + 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 178673249 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 13*i**2 - 9*i + 249. Give l(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*2)\/sqrt(12))**2 - sqrt(152)\/(sqrt(8) - (sqrt(72) - sqrt(8)))) + 1*-2*sqrt(19) + sqrt(19) + -1 + -2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 72 = -5*b. Let q be (-1 + (-6 - -1))*(-56)\/b. Let z = q - -6. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197\/21 + -29\/3. Let p be (9\/((-378)\/12))\/(396\/231). What is the nearest to b in 4, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwew when four letters picked without replacement from wewwweewww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 - 3 = 0. Let p be (88\/(-90) + 1)*(-7)\/49. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-961878)\/(-12)*(-11 - (-130)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 13) + 26 + -11 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2377, -2, -5, 5 in descending order.\nAnswer: 2377, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -18 - -32 - (43 + 2 + -4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 46*o - 2*o - 5440 + 5482. What is the hundreds digit of y(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26)*h)**(4\/9)*h*h*h**(14\/9)*h*h\/h**(13\/5) assuming h is positive.\nAnswer: h**(-367\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxumhuuxxahmzaxaxa. What is prob of sequence huxz?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 94, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-21)*12\/(-5)*(-10)\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.308778 from -1231.\nAnswer: -1237.308778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 72 (c) 2\/15 (d) -3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 - 10.59. Which is the second biggest value? (a) n (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -80 and -306.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8791a2 (base 11) in base 5?\nAnswer: -324344412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + 4*2*sqrt(567) - (-4 + -2*sqrt(567))) + (sqrt(567) + 1)*1 + sqrt(567) + (2 + sqrt(567)*-1 + sqrt(567) - sqrt(567)) + sqrt(567))*2)**2.\nAnswer: 6552*sqrt(7) + 383488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u - 4*n + 51, 5*n - 77 = -4*u. Calculate the highest common divisor of u and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6099, -12198, -18297, -24396?\nAnswer: -30495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 71*r + 7 + 83 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1.55. Let s = k - -138.35. Let h = s + -138.927. Round h to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2222\/(-808))\/(3\/(-48))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17*x**2 - 4*x + 105. What is z(16)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3219550 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 393*c - 29. Is n(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l. Let q(m) = 3*m - 463322. What is q(n(k))?\nAnswer: -66*k - 463322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 20*x**2 - 7*x + 4. Let w be i(7). Let p = 405 - w. What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656366865.\nAnswer: 3, 5, 7, 11, 37, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4042001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 13*u + 11. List the prime factors of c(-14).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 293398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:24 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -2 + -6 + -3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o - 6*o. Let p(b) = 3 + 3*b**2 + b + b**3 - 8*b**2 - 3*b**o. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 74*r**5\/5 - 117*r - 211. Differentiate u(s) with respect to s.\nAnswer: 296*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*w - 0*a - 1, 5*a = 4*w - 2. Solve -3*f = -w*v - 0 + 12, f + 5*v = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*q**2 + 5*k**2*q - 84800*k**2 + 117565*k*q**2 + 8*k*q + 20*q**2 - q - 2 wrt k.\nAnswer: -8*q**2 + 10*q - 169600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - 11*a + 11. Suppose 252 = 2*b + 4*s, -3*s = 2*b - 4*s - 272. Let r = 147 - b. Let i(y) = 2*y**2 - 5*y + 5. What is r*i(l) - 6*f(l)?\nAnswer: -4*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016691841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9524.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41614144381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, 3, 1, 10, 1.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.78 - 1.22. Let x = -61.9 - c. Let r = 1.4 - 1.5. What is the nearest to 0 in r, 0.3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 896, 1803, 2708, 3611?\n\"Answer: -p**2 + 910*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.077 - -0.201. Let f = u - 0.578. Which is the biggest value? (a) 0.5 (b) 2\/19 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/5 + (8 - (21 - (-30)\/(-3))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11837*h + 485319. Calculate n(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 91730500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -75\/11057, 1\/2, -2\/9 in descending order.\nAnswer: 1, 1\/2, -75\/11057, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-79930)\/(20\/(-40)*2*2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 30. Let s = q - 41. What is the greatest common divisor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*h**3*m + 3*h**3 + 11408*h + 1496926*m wrt h.\nAnswer: 51*h**2*m + 9*h**2 + 11408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*p - 3, -4*p + 9*p = 5*j + 5. Find the common denominator of -17\/11 and 83\/(-142) + j\/(-10)*5.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 4*l**2 + 3*l**2 + (-1 - l + 1)*(-15*l - 5*l + 5*l) to the form b*l**2 + c + x*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 434591\/526680 - 2\/13167. Calculate the common denominator of k and -19\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-117))\/(365\/(-4745)). What is the fourth smallest value in 3, -2, o, -0.81?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -d + 4*l - 170, 65*d = 78*d - 2*l + 99 + 52 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -3) + 1\/(3\/543) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Suppose 34*d = 37*d - 6. Let x(j) = 2 - 8*j**d - 4 + 2. Determine s(x(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gngn when four letters picked without replacement from {g: 5, n: 13, o: 2}?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 756507649306 and 0.5.\nAnswer: 756507649306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4800 and 702200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2671 is divided by 1351.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -12*f + 3. Suppose -63 + 2255 = f*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2418 and 2?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:13 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48647*l**3 - 94846*l**2?\nAnswer: 291882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*g - 485 - 83 = 0. Put -1, -24, -2, g in descending order.\nAnswer: -1, -2, g, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235.009997 + -234.92. Let x = -0.09 + b. What is x rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:08 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6. Calculate t(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 11. Let s be v(-9). Suppose -5*o = -5*a - 15, -o - 1 = -s*o + 3*a. Calculate the least common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + f**4 - 5*f**2 + 6*f**2)*(31*f - 11*f + 13*f).\nAnswer: 66*f**5 + 33*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -136. Let f = -82 - m. What is the remainder when f is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188 = 4070*p - 4114*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/517500 and 71\/11040?\nAnswer: 4140000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10324213 (base 5) to base 3\nAnswer: -11112111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q - 216518 + 217220 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13*l = -306. Suppose l*j - 15*j - 9 = 0. Let y be (-42)\/(-24)*4\/14. What is the closest to y in j, -1\/10, -2\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let v = 4.168 + -11.09. Let t = 0.078 - v. Which is the biggest value? (a) 1 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3891*y**2 + 2*y**3 + 8579*y**2 + 0*y**3 - 4688*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27565*r - 27523*r + 1092 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-42)*8\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -2 (c) -1\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.32 + -6. Let s = o - 0.23. Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10705, -10708, -10709, -10702, -10681, -10640?\nAnswer: -10573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 14 = 4*n. Suppose -75 = n*d - 10*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {a: 1, g: 6, p: 1, s: 1, h: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 10978*b\/3 + 585640.\nAnswer: 2*(b + 165)*(b + 5324)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p + 104*p - 52*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 4*o)*(13*o + 3*o**2 - 13*o)*(-43*o - 215 + 215) as j*o**4 + c*o + u*o**2 + s + b*o**3 and give j.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89797 + 191?\nAnswer: -89606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.2, -2\/9, 0.21, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*l - 48 + 325 + 947 = -51*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ab1 - -c0?\nAnswer: 3ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678 and 4205634?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 a when three letters picked without replacement from aaaaaaaiiaaaaaaaaaaa?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 169131910.8 to the nearest ten thousand.\nAnswer: 169130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680566859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -986097 divided by 4\nAnswer: -986097\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:57 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 164632.\nAnswer: 3292640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 194. Let y be 16\/i + (-4)\/22. Factor 1\/4*z + 1\/4*z**2 + y.\nAnswer: z*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3808\/793 - 62\/13. Let s = -509\/1220 - b. Calculate the common denominator of -81\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*-217.7\nAnswer: 12191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1140.300028235 - -1140.3. What is c rounded to 7 dps?\nAnswer: -0.0000282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*p**2 + 10 - 1181*p**2 + 387*p**2 + 396*p**2 - 9 + 245*p as n*p + f*p**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2 - 0) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 104. Suppose 0 = -2*q + 7*q + 3*b - 6, 0 = -q - b. Put d, -1, q in descending order.\nAnswer: q, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*u**5 + 87963*u**3 - 682*u**2 + 77036 wrt u?\nAnswer: 6780*u**2 + 527778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-401)\/7 + (-87)\/(9744\/(-32))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4338\/(-964))\/(243\/7236)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrrncnxririnc. What is prob of sequence ii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*k - 9, 3*b + 15 = b + 3*k. What are the prime factors of -2 - -16 - b\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6*h. Let i be c(4). Solve -i = -73*f + 69*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:58 PM?\nAnswer: 642","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -113*n + 8. What is the tens digit of w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-36) - 4\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*z - 270*z + 1820880 = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25500 or -25498?\nAnswer: -25500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1793, -7205, -16225, -28853?\nAnswer: -45089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*m = 137*m + 108. Solve 5*r + m = 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139773*r - 215305.\nAnswer: -139773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/20, -649\/24, -79?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 0. Let u = n - -1.5999993. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -531 - -531.2. What is the biggest value in -9, 9, k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.1607 to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135.201 kilograms in nanograms?\nAnswer: 1135201000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r - 64. Let u be f(8). Suppose u + 480 = 8*o. Calculate the smallest common multiple of 24 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 5694.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40048, 2, 70\/83?\nAnswer: 70\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2727 - 73640\/27. Find the common denominator of -79\/216 and y.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 44978*r - 3740066. Calculate b(83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -0.25.\nAnswer: -6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -73144685.\nAnswer: -73144683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 29*o**2 - 2134*o + 58973. What is t(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.8 (b) 9.9 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3956 (b) -4 (c) -2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 32*f**2 - 2*f - 25. Let t(g) = -63*g**2 + 4*g + 42. Calculate -5*s(v) - 3*t(v).\nAnswer: 29*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a. Let m(c) = -13*c**2 + 2*c. Determine f(m(z)).\nAnswer: -91*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:21 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 4*l - 2. Let f be p(1). Let d(y) = -2*y - 2. Let m be 3*2*2\/(-3). Let c be d(m). Is f less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 5*t**3 - 38*t**3.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*k = 5*k + 75, -k - 153 = -5*o. Suppose -5*h - o = -0*h. Is -2*(h - (2 + -1)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/1925)\/(6\/(-11)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -248496, -993973, -2236434, -3975879, -6212308?\n\"Answer: -248492*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 12*h**2 + 3*h - 29. Let w be l(12). Suppose 0 = 3*r + z - w, 4*z = 16. What is the biggest value in -2, -8, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, 0.1103 in increasing order.\nAnswer: -1, -1\/5, 0.1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, p: 3}. Give prob of picking 3 a.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -15 - 10) + 2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a. Let b(u) be the second derivative of u**4\/12 + 39*u**2\/2 - 6*u. Let x(k) be the first derivative of b(k). Calculate c(x(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 + d**2 - 3*d**2)*(2 - 4 + 3) - 7614*d**2 - 5*d + 8*d - 15*d + 12*d as b*d**2 + k + c*d and give b.\nAnswer: -7612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033458793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 29. Give l(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2220102433 (base 5) to base 8\nAnswer: -22373213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*b + 2*b. Let z = -19 + b. Let n = z + -7. Solve 3*f = f - n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -46. Suppose 0 = -c - q*i + 1 - 4, 4*i = 2*c - 34. Calculate the greatest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11904668 divided by 5952334?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 1)*(2 + 1 + 1)*(-4*h + 0*h + h) to the form y*h + f and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 908\/(-906))\/(2\/12). Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*m - 23, -4*m - 2*a + a - 1 = 0. Let n(w) = -w**2 - 14*w + 3. Let h be n(-14). Sort m, -22, h in descending order.\nAnswer: h, m, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(4 + 1 + (sqrt(39) + sqrt(624) - sqrt(39))\/sqrt(3)))**2.\nAnswer: -932 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/1 - (-2383742)\/(-81635)?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**21*r*r**(-9)*(r\/r**(-21))\/(r**(2\/7)\/r))**6 assuming r is positive.\nAnswer: r**(1500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + -0.139995. What is y rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -840, -1672, -2490, -3288, -4060, -4800, -5502, -6160?\nAnswer: -6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 88*f**3 + 229*f**3 + 1 + 471*f**3 - 2.\nAnswer: 788*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2116, -8480, -19090, -33946?\nAnswer: -53048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 41 = 2*y + d, 4*d - 7 - 40 = 4*y - 0 - 103 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 468002793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 47*p + 68 = -990 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083958 is divided by 500.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 9*b**2\/4 + 59*b + 13 = 0.\nAnswer: -26, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1.2, 2080, -3\/7, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.739 + 5.739. Put -0.15, -2\/13, -2\/21, 1, g in increasing order.\nAnswer: -2\/13, -0.15, -2\/21, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -313, -1 in increasing order.\nAnswer: -313, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a\/(a**(2\/9)\/a))**(26\/9)\/((a\/a**(1\/3))**(-3\/23)*(a**(2\/7))**(-17)) assuming a is positive.\nAnswer: a**(106336\/13041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 + 6*o + 7. Let u be f(-3). Which is the biggest value? (a) -0.5 (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -16. Let u = 0.02 - 0.08. Let x = -0.06 - u. Which is the biggest value? (a) x (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004158 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1296 + 1073 - 164*f - 186*f + 2*f**2 - 6*f**2 - 240*f with respect to f.\nAnswer: -8*f - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 5)*(2*a**4 + 0*a**4 - 3*a**4) + (-3*a**2 + a**2 + 4*a**2)*(2*a**2 + 16*a**2 + 0*a**2))*(0*a + a + 2*a).\nAnswer: 102*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -8, -4, 34.\nAnswer: -8, -4, 12, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 - 3078*g**3\/5 - 162776*g**2\/5 + 688104*g\/5 - 700448\/5 = 0 for g.\nAnswer: -1484, -59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.37 and -50.5.\nAnswer: 69.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/10, -3\/19, 35\/6, -5, 2?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from eeeaaa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62824, 246595, 552880, 981679, 1532992, 2206819, 3003160?\n\"Answer: 61257*z**2 + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -438 or -24118\/55?\nAnswer: -24118\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - -854. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9175726.\nAnswer: 2, 7, 503, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.293 times -1?\nAnswer: -48.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070 - 2141 = -432*u - 1071 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18)\/((x*x**1*x)\/x*x)*x*x*x\/(x**(-1\/4)\/x)*x\/(x*x\/x**(-14)) assuming x is positive.\nAnswer: x**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j + 5. Let z(d) be the second derivative of -3*d**3\/2 - d**2 + 10*d + 5. Calculate 3*f(l) + 8*z(l).\nAnswer: 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 58. Let k(p) = p - 3. Give -d(u) - 4*k(u).\nAnswer: -u + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -134 + (28 - 20 - 15) + (-2 - -4)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142627733*f**3*u**2 - 391*f**3*u + 28244*f*u wrt u.\nAnswer: 285255466*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 36 + 16. Let h(c) = v + 21*c - 46*c + 24*c. Let m = 3 - 3. What is h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5 + 0*t + 0*t + t + 0*t. Suppose 0 = 7*w - 3*w - 5*c + 13, -5*c + 31 = 2*w. Suppose -11 + w = 2*k. Calculate p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4210\/80 + 6\/16. Let f = 58 - s. Solve 15 = -f*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-855)\/(-210) - 11\/154.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -19*g - 2. Let h(i) = 11*i + 6. Let b(f) = -9*f - 5. Let w(c) = 6*b(c) + 5*h(c). Determine o(w(s)).\nAnswer: -19*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from cmcmmtm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) 0.04 (b) 1 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 103 - 111?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -5.5, -12, -3, -1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8 = -2*u, 19*u - 23*u - 4*p + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 8) in base 14?\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-30)*(-5)\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let d be (-15)\/(-12) + (-2)\/8. Let b(g) = -y*g - d - 1 - 2. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -31 - 49. Determine t, given that -20\/3 + 20\/3*t - 10\/3*t**3 + 5*t**2 - 5\/3*t**o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 2118*m - 177219.\nAnswer: -3*(m - 609)*(m - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7734955\/7 + -1104993. Let -5\/7*t**3 + 1\/7*t**4 + 4\/7 - 5\/7*t**2 + g*t + 1\/7*t**5 = 0. Calculate t.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 12*c + 585. Let l = c + 88. Calculate the remainder when l is divided by 7 + -5 - 7\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 15 = 0, -4*g = -3*h + 48. Suppose -5*i + 71 = 11. Suppose 0 = 2*k + 5*t - i, -t + h + 4 = 4*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1000000011?\nAnswer: -111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 8) in base 2?\nAnswer: -1001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (45\/35 - (-14)\/(-49)) + 2. Does 21 divide 106 - 101 - (-606 + r + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 100*d**2 - 8*d - 93. What is the units digit of o(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-4\/11)\/s)\/s))\/(s**(-2\/7)*s)*s**(1\/10)*s*s**(-2)\/s*s*s)**(-11\/3) assuming s is positive.\nAnswer: s**(-449\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 + 27*i - 2. Let x(w) = 4*w**2 - 13*w + 1. Suppose 3*p + 29*v = 25*v + 33, 2*p - 20 = -2*v. Calculate p*x(f) + 3*z(f).\nAnswer: f**2 - 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.1. Let w = 1145861\/6 - 190977. Which is the second smallest value? (a) i (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143.5 + 147.5. What is the third smallest value in 0.2, 0.3, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*o = 40, -36*l + 32*l + 5*o = -85. Let q be 12\/(4\/(-1))*(-565)\/l. Which is smaller: q or 114?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1346378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946743 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/111598 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.5. Let n be (-90)\/75*(-10)\/(-21). Suppose -49 - 155 = 68*k. Which is the closest to 0.1? (a) i (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 4*r = 78 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*s + 95429*s**2 + 100*s - 66826*s**2 + 78902*s**2.\nAnswer: 107505*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10*c = -14*c + 10166. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1553, 1850, 2139, 2420, 2693?\nAnswer: 2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(5 - 2 + 4)*(1 + o**2 - 5 - 2*o**2).\nAnswer: 21*o**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/18 + w**3\/3 + 2*w + 2. Let s(n) be the first derivative of y(n). Let s(b) = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70)*2*5 - sqrt(70)))\/sqrt(10).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3167*q + 1839. What is p(1)?\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -3\/4 (b) 0 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14297 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*m + 1103*m + 3*s + 3 = 0, 25 = -5*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200) + -3 + sqrt(200) + -5) - (sqrt(96)\/sqrt(432) + 5).\nAnswer: -45 + 299*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996.1157 kilograms to tonnes.\nAnswer: 0.9961157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 5*c + 2. Let u be t(-4). Let z = 10 - u. Suppose 0 = 3*a - 7*a. Solve 0*q + q + z = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (0 - -2)\/(-2). Find the third derivative of 10*p**4 - q*p**4 + 6*p**4 + 5*p**2 wrt p.\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 4:44 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdahhtjptajh. Give prob of sequence jj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24990282*g**2*k*w - 6*g**2*k + 10*g*k*w - g*k + g + 44*k*w + 4*w - 40 wrt g.\nAnswer: 49980564*k*w - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s - 116 - 217 = -85 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14028367 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -32*t. Let b(x) = 288*x + 1803. What is b(z(f))?\nAnswer: -9216*f + 1803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i)**(-7)\/((i**(-5\/4)\/i)\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(-683\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4050299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-11)*1980\/(-60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -342725.2 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4 + 5*w**2 - 4*w**2 + 4. Let y(z) = -2*z. Give y(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 525 = 22*q. What is the highest common divisor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 8, p: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(972) + -1 + sqrt(972) + 1 - (4 + (sqrt(972) - (0 + sqrt(972)))*5).\nAnswer: -9 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - 3*l - 6. Let c be z(5). Suppose c*h + 2 = -5*p, 2*p = -0*h + 3*h + 13. Suppose 11 = p*k + 1. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + (sqrt(475) - (2 + sqrt(475)) - sqrt(475)) + sqrt(475))*4*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180 (base 11) to base 4.\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 11*m - 6*r + 867, 0 = -15*r - 11*r + 27*r for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.73 less than -0.09?\nAnswer: 24.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16588336 or -182471710\/11?\nAnswer: -16588336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4985285724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82208344681\/454871084 + 6336\/595381. Let r = 723\/4 - d. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 449*k - 461*k - 485*k - 1 + 1442*k.\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 15*f - 2. Let z be m(13). Calculate the remainder when z\/60 + 366\/10 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -27 (c) -1\/3 (d) 0.4 (e) -1 (f) 208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 29 = -3*r, -k + r = -4*k + 25. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 3*t**3 - 11*t + 11*t + 4 - 3*t**2. Give u(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.2442.\nAnswer: -0.04884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 - 4260370*w**3 + 22498815 wrt w?\nAnswer: -4*w**3 - 12781110*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 432150744 divided by -2118386\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + i - 113 = 0, -5 = v + 3*i - 69. Let h = -48 + v. Solve -2*s = -1 + h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117729061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57508651921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 9. Solve -2*r = f + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -843 + 1418. Suppose 5*x = 0, -5*c - x = -0*x - h. Suppose -8*t + c = -3*t. Solve -3*m - 3*v = 30, -m - 2*v - t = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -6. Let v = 8522341 - 8522338.0000004. Let y = k + v. Round y to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/15 - 17388*g\/5 - 113378454\/5 = 0.\nAnswer: -13041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**13\/k)*k**(-2\/13)*k*k)\/(((k*k\/(k*k\/(k**(-4)*k)))\/k)\/k**(-36)) assuming k is positive.\nAnswer: k**(-535\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 20. Calculate k(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2\/2 - 53. Let s(t) = -2*t**2 - 2*t - 2. Let x = -27 + 13. Let u = x + 10. Determine u*o(y) + s(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -2*o**6\/15 - o**4\/24 + 11*o**3\/3 + 25*o**2. Let g(c) be the first derivative of b(c). Differentiate g(z) with respect to z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let m(y) = 33*y - 18. Let p(q) = 2*d(q) + m(q). Let c be p(12). Suppose b - 5*b + c = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/9 + 634*x**3\/9 - 3016*x**2 + 358952*x\/9 - 1041568\/9 = 0.\nAnswer: 4, 22, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 10*m)*(2*m + 0*m - 3*m) + 2*m**2 + 2*m**2 - 6*m**2 + (-3*m + 5*m - m)*(0*m + 6*m - 4*m) + 4*m**2 + 3*m - 3*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuuuulzfluluuzuuufu. Give prob of sequence flfu.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*r**2 + 660*r - 900 = 0. Calculate r.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 19. Let o be y(11). Let r be 1 + ((-3)\/o - -44). Let j = r - 42. Calculate the highest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-114)\/(-260) + 0. Let j = p - -21\/13. Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316976 is divided by 105656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27950000 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004489994 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*l = -556, 2*l = 2*f - f + 276. Let x be (-1 - -4)*f\/(-24). Let w = x + -19. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-527.67\nAnswer: -211.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-3*a + 3*a + a**2) + 5*a**2 - 13*a**2 + 1 - 2*a + 6*a**2.\nAnswer: -4*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 5*n - 362. Let v(f) = -6*f**2 + 4*f + 369. Let a(o) = -4*q(o) - 5*v(o). Let m(p) = p**2. Give m(a(c)).\nAnswer: 4*c**4 - 1588*c**2 + 157609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 82 = -5*r - c, -5*r + 90 = -5*c. Find the second derivative of 38*n**3 + r*n**4 - 38*n**3 + 12*n wrt n.\nAnswer: 204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 2832312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 4) in base 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:58 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1500011 - -3430?\nAnswer: 1503441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 351\/(-2223)*(-2546)\/(-6)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -2.98. Let z = t - -4. Let f = -1.3 - -0.3. Which is the nearest to -1? (a) f (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3, 34\/181, -4, -0.25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*i - 82 = 0, 0 = 2*y - 0*i + 2*i + 76. Let m = -31 - y. Solve 4*d - d - m*h = -1, -4*d + 3*h + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6242*w - 2646588. Calculate l(-424).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 1616672?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -288*m**3 + 540*m**4 + 0*m + 0*m**2 - 360*m**5 + 90 + 250\/3*m**6. Factor z(j).\nAnswer: 4*j**2*(5*j - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*t**2 + 87*t**2 - 40*t**2 + 12*t - 2*t**3 + 6*t**3 - 5*t**3 + t**3 - 4*t**3 - t**3 + 3*t**3 + (-t**2 + 0*t**2 - t**2)*(3*t - t - t).\nAnswer: -4*t**3 - t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 2*s = -8*s. Solve 4 = -3*x - 2*t, s = 4*x - 2*t - 0*t + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35864209 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.02, -7, -6, -30?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((-2 + -3 - (153 + -162)) + -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279 + 2515\/9. Let j = 25\/96 + -1\/96. Let w = j - -5\/12. Which is the nearest to w? (a) r (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.32 + -15.68. Let y = c - -15.6. Put 0.5, 0, y in descending order.\nAnswer: 0.5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (0 + 1 + -2). Find the second derivative of 0*h - 2*h**o - h + h + 2*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*t + c = -373*t - 18, 2*t - 5*c = 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. Let o(t) = t - 1. Let s(q) = -q. Let a(i) = y*o(i) + 4*s(i). Suppose 3 = -h, 7*h + 24 = 3*d + 3*h. Give a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 107*s**2 - 306*s - 305. Let l be p(-1). Solve -l = -19*v - 146 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = -3*m + 14, -2 = -m. What is the smallest common multiple of 1 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2724 (base 11) in base 4?\nAnswer: -313033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**2 + 126*h + 864 = 0.\nAnswer: -6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:38 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 51*m + 198. Let j be i(0). What is the highest common divisor of j and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000166737 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*s + 4*b, 7*s - 3*s = -b + 11. Let w(a) be the second derivative of a**5\/10 - a**3\/3 + a**2 - 3*a. Is w(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7908277364 to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18484438.\nAnswer: 2, 7, 109, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0.2 (c) 0.3 (d) -1\/4 (e) -10 (f) 0.2492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwi when three letters picked without replacement from glgaiagwg?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*u + 72350 = -0*u - 373*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 - 3*r**3 - r**3 + (r**3 + 3*r - 3*r)*(-2 + 3 - 7).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxololllx. What is prob of sequence lxo?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + -0.121. Let w = l - -0.041. Put 3, 1, 5\/6, w in descending order.\nAnswer: 3, 1, 5\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.084445 rounded to one decimal place?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-34)\/(476\/21)*44.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -919\/1645 - 3\/235. Let z = -0.8 + 4.8. What is the third smallest value in z, 1\/8, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 3, r: 1, d: 4}. What is prob of sequence fur?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -77525641332227?\nAnswer: 77525641332232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34 - 48)*(0 + 6\/(-49)). What is c in 1\/7*c**4 + 6\/7*c**3 + 3\/7 + 10\/7*c + z*c**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*g**5 + 2*g**2 - 310*g wrt g?\nAnswer: 6540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -566991659\/18 - -31489629. Let o(u) = -78*u**3 + 6*u**2 - u + 7. Let f be o(-5). Let j = f + k. Calculate the common denominator of 25\/2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 37*f - 6. Let g be l(12). What are the prime factors of -3 - (-320 - 30\/g)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4439*x - 30*x**2 - x**2 - 4562*x)*(-x + 2 - 2).\nAnswer: 31*x**3 + 123*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7881 + -0.2119. What is the third biggest value in o, -3, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n - 5 + 5)*(-3 + 4 - n + 1) + (6*n - 3*n - 2*n)*(2*n + 2*n - 6*n) as l*n + p*n**2 + t and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -24. What is the second derivative of -i*o + o + 2*o**5 + 8*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - 4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493758?\nAnswer: 2, 3, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/5 - 39407*h\/5 - 22543644\/5 = 0.\nAnswer: -564, 39971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(15\/2)*t*t)\/t*t**37*(t**(-4\/13))**(9\/2) assuming t is positive.\nAnswer: t**(1173\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 5*s + 12)*(-65*s - 4 - 18 + 21).\nAnswer: -325*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/20 + q**4\/2 - 2*q**3\/3 + q**2 + q. Let h = 2 + -8. What are the prime factors of g(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141483 - 634\nAnswer: -1142117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25716, 25718, 25720, 25722, 25724, 25726?\n\"Answer: 2*l + 25714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 3 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748077 is divided by 76487?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + 23 + 11 - 40 - -12) + 111?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14278 and 2596.\nAnswer: 28556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -480 - 180. Let b = t - -62. Let v = b - -87. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d*d\/(d**(-2)*d))))\/d)**(-44)\/((d\/(d*d**(-1\/5)*d))\/d**10) assuming d is positive.\nAnswer: d**(-606\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 23385663.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -38*w**3 + 5*w - 2 + 11*w**3 + w - 5*w. Let s be n(1). Let o be (1 + -5)*7\/s. Put o, -2, -1 in decreasing order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151825788.\nAnswer: 2, 3, 29, 41, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5\/(-1)))\/((-147)\/315)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgwtttgggggwgg. What is prob of sequence gt?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 + -0.19. What is the second biggest value in -5, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 6. Let m be d(5). Let i = -6 + m. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/25)\/y**(-2\/29))\/((y**(-1\/5)\/y)\/(y*y*y**(-42))))**27 assuming y is positive.\nAnswer: y**(-759726\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 + 0.02. Let k = -5.99 - 0.01. Let s = k - -6. What is the closest to -1 in m, s, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrnbrmel. What is prob of picking 1 m and 1 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*(3 + 4 + 7).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/20 - q**4\/3 - q**3\/2 + 7*q**2\/2 - 7*q. Calculate the remainder when 33 is divided by g(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 15, -4*y - 12*s = -9*s - 4113. List the prime factors of 19\/(532\/y)*(22 - 1).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (341*s**2 + 503 - 503)*(2671 - 53*s**2 - 2671) to the form p*s + k + n*s**4 + z*s**3 + v*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from hooohohooho.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(-18*v - 8 + 8)*(-v**2 - 41*v - 11*v + 16*v) in the form p*v + i*v**2 + r*v**3 + s and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -4. Let t = 7 - j. Let z = t - 1. What is the closest to 2 in z, 0.5, 2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c + 5. Let s be 3 - (c + -3 + 0). Let k(w) = 5*w - 2*w - 1 - 4*w**2 - w. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 5:09 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 519*u**5 + 102*u**2 wrt u?\nAnswer: 31140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*c*f*l**2 - 7*c*f*l + c*f + 46*c*l**2 - 6*f*l**2 + 21*f*l + 12*l**2 - 365522 wrt l.\nAnswer: 738*c*f + 92*c - 12*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = -11*h + 1911. Solve 4*f = -f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 11. Let g be k(14). Let d be 20\/48 - 2\/g. Which is the nearest to 2? (a) -4 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/27))**(-3\/2)\/(o**(4\/23))**(-3\/10) assuming o is positive.\nAnswer: o**(-7\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**3 + 1. Suppose -3*c = 3*k - 6, 3*k - 4*c - 6 = -5*c. Let h be d(k). Suppose 5 = -3*r + h. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 43 = -17*z - 3*g, 5*g - 45 = -4*z. Solve 26*r = 22*r + 5*b - z, 0 = 2*b + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873.84kg in milligrams?\nAnswer: 1873840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 268685 greater than 268685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*p**3 - 1903*p**2 - 1894*p**2 + 3783*p**2)*(0*p**2 + 2*p**2 - 3*p**2).\nAnswer: -131*p**5 + 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -850870*b**3*o**2 - b**3 - 4*b**2*d*o - 3*b**2 + 14*b*d - 17*d*o**2 - 2*o - 13 wrt o.\nAnswer: -1701740*b**3 - 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -37, -87, -167, -283, -441, -647?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*j = -j + 24, -2*f - 20 = 3*j. Is 1192\/56 + f\/14 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2)\/t*t)\/t**(-2\/11))\/(t*t**(-1)*t)**(-7\/4))\/(t*t\/(t**(11\/2)\/t)*t*t*t**3)**(-5) assuming t is positive.\nAnswer: t**(547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232416 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144135.5km in centimeters?\nAnswer: 14413550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000392926 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -27\/4*a**3 - 27\/20*a**5 + 0*a + 0*a**2 - 1\/8*a**6 + 1 - 81\/16*a**4. Determine j so that u(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -23*s - 6. Let a(n) = 530*n + 140. Determine 3*a(g) + 70*v(g).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1376 and -0.5.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -112*b**4\/17 - 290*b**3\/17 - 118*b**2\/17 + 60*b\/17 = 0. What is b?\nAnswer: -15\/8, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 43 (c) -33 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -53622.4 to the nearest 10.\nAnswer: -53620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1449, 2898, 4345, 5790, 7233, 8674, 10113?\n\"Answer: -m**2 + 1452*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3523305210 + 4?\nAnswer: -3523305202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 266.4553mm in kilometers?\nAnswer: 0.0002664553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4) + (70 - 64))*1\/30.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 541 divided by 541\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001 + -100101000101?\nAnswer: -11101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4*w + 5. Let z be t(5). Let q = -266 - -300. Find the third derivative of 28*h**2 - 4*h**3 + z - q*h**2 + 0 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*v - 100*v + 47040 = -77*v - 739*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 827 - 659 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-3 + -1). Suppose 3*n - 35 = -o*n. Suppose 4*b - 48 = -4*v, 17*v + b = 10*v + 54. Calculate the greatest common factor of n and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 162\/2 + 0\/(-2). Suppose d = -j + 297 - o, 0 = d - 4*j - 201. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 4. Let c(j) be the third derivative of 1\/24*j**4 + 0*j + 0 - 1\/3*j**3 + j**2. Determine c(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5965)\/83510*(-8)\/22.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from arraaaaava.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -11) + (2 - 7). Let q = 31 + -29. Solve -5*y = -c*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 582695.\nAnswer: -44\/582695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -0*u. Let c(v) = u + 1 + 0*v - 2*v**3 - 1 + v - 3. Let a(q) = 5*q**3 + q**2 - 2*q + 7. Give -3*a(g) - 7*c(g).\nAnswer: -g**3 - 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-4\/5)*n*n*n**(-5\/2)*n**(3\/4)\/(n\/(n*(n\/(n*n**(-2\/3)\/n*n)*n)\/n)) assuming n is positive.\nAnswer: n**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29 - (-9750)\/338) + (-63)\/13. Let c(q) = 10*q + 4. Let x(m) be the second derivative of -m**3\/6 - m**2\/2 - 5*m. Give d*x(v) - c(v).\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -684 - -685. Is u not equal to 197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/317494 and -73\/18.\nAnswer: 2857446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b4b9a (base 14) in base 5?\nAnswer: 13220224224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 3. Calculate the remainder when -8*2\/(-2) - (3 - 1) is divided by x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2024*v - 66852. Determine z(-33).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 13) in base 6?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 2)*(5*n**3 + 5*n - 5*n) in the form w*n**2 + k*n + a*n**3 + u and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*k**3 - 4*k**2 + 23?\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 10:19 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98278 times -2?\nAnswer: -196556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-6*(sqrt(448)*4 - sqrt(448)))**2 - (sqrt(448) - (-2*sqrt(448)*4)**2)) + 4 + 0.\nAnswer: -8*sqrt(7) + 173831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2*j**3\/3 + 1026*j - 1. Let y(o) = -706*o. Give k(y(q)).\nAnswer: -2824*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1705, 972, -1025, -4922, -11355, -20960, -34373?\nAnswer: -52230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1301343, 2602701, 3904059, 5205417?\n\"Answer: 1301358*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0482 - -0.10075. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/30 and 131\/1594874208.\nAnswer: 7974371040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u - 28. Let n be (-2023)\/(-49) + 4\/(-14). Let i = 32 - n. Let t be y(i). Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.2. Let j be 3 + -1 + (3 + 0)\/6. Which is the smallest value? (a) j (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002359865 rounded to 7 dps?\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.349064 - -2.349065. Let z = b + 4. What is z rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**(-1\/10))\/u*u))\/u**(-1\/2))\/((u\/(((u*(u**(-1\/10)*u)\/u)\/u)\/u*u)*u)\/(u\/u**(-3\/10))) assuming u is positive.\nAnswer: u**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**(-1\/3)\/b)\/b*b)\/(b*((b*b*b**(2\/15))\/b)\/b))\/(b**(-3)*b*b**(-1)*b)*(b**(-2\/3)\/b*b*((b*b*b**(-9\/4))\/b*b)\/b)**(-22\/7) assuming b is positive.\nAnswer: b**(599\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a hour?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4913458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 2*o**5\/5 + 17*o**3\/3 - o**2\/2 + 22*o + 1. Find the second derivative of f(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10971629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - -2)\/(-1) + 3. Let w = p - 5. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i + 33*i - 9*i - 17*i + 11 in the form q + d*i and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Let a = 38.156 - 40.756. What is the nearest to a in -3, s, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -849 - -862. Sort 0.2, i, 5.6 in increasing order.\nAnswer: 0.2, 5.6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27145 and 2135.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1143 times -191\nAnswer: 218313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, l: 7}. Give prob of sequence qlq.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d + 125 - 218 = 129 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 19*h - 96, 2*h + 23*i = 27*i - 72 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3550955 and 17930.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from upppuupuuuu?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3157770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 2*y = 26*p - 4, 20 = -5*y. Let v(t) = 28*t**2 + 5*t + 6. What is the units digit of v(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 7*y**2 + 19 - 69 + 28.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8674 divided by 256?\nAnswer: -4337\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 8 = 0, 17*d - 2*m = 18*d + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 5*r + 5. Let g be b(-6). Let f be -2 + 1 - 2\/2. Let w = f - -1. Is g greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 2*o + 2. Let j be i(-2). Suppose 0 = 6*m - j*m - 16. What is the second derivative of -m*k**3 + 2*k - 4*k + 0*k**3 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 10:59 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djhjdzhhddzhljrjhhz. What is prob of picking 1 d, 1 l, and 1 r?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 8*b**4 - 48*b**3 - 160*b**2 - 128*b = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*j**3 + 53615*j**2 - 1495635*j + 2123460 = 0.\nAnswer: 3\/2, 564\/19, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*s - 118, -4*o - 3*s = -0*s - 230. Suppose -4*m + 2*m = o. Let f be 2\/8 - (-91)\/m. Put 2, f, -8 in decreasing order.\nAnswer: 2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*w**2 - 461*w**2 + 14*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13890 divided by 2940?\nAnswer: 463\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177*k**4 + k**2 + 3184 wrt k.\nAnswer: -708*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.99999937 - 121. Round p to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q + 0*q)*(-13 + 14 + 3*q + 0*q).\nAnswer: 9*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -13\/1062658?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -1 + (1 - 1). Suppose -3*h + 0*h + 17 = 5*o, -h - 2*o + 7 = 0. Let m be 2*(h - (-27)\/(-6)). Let z(y) = y. Let r(a) = -3*a. Give k*r(v) + m*z(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 56341?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.388424215 and -1541.\nAnswer: -1540.611575785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 197. Let s be 28\/z - 3\/12. Suppose -1\/6*x - 1\/3 + 1\/6*x**3 + s*x**2 = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536918781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22010 + 1?\nAnswer: -22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = 0, -3*z + 1049 + 184 = t. Is t a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -7926 (c) -0.256 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.031, 45, 8.1, -0.03, -0.1?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4018679 or 1?\nAnswer: -2\/4018679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2012 - -2828. Suppose 13*m = 25*m - s. Calculate the remainder when m is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7170 and 156876015?\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojo. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/3, -3\/8, -1.4 in ascending order.\nAnswer: -1.4, -3\/8, 0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(1\/22)*y**(1\/6))\/(y\/y**1)**(-8\/13) assuming y is positive.\nAnswer: y**(70\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534369284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8 + 12. Solve -i*r + 5*f + 24 = 0, -f = f + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1)*n)**(-3\/5))**28\/(n*(n*n*n*n**(-2\/7)\/n*n*n)\/n*n*n\/(n**(2\/9)\/n)*n*n**(-6\/11)\/(n\/(n\/(n**3*n)))) assuming n is positive.\nAnswer: n**(-243058\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:54 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 1294?\nAnswer: 1293.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11032100 (base 4) to base 14\nAnswer: -7b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105602?\nAnswer: 2, 7, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v + 42. List the prime factors of t(15).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/25 + ((-303)\/(-60) - 4). What is the third smallest value in n, -2\/3, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -39. Let k(c) be the third derivative of u*c - c**2 + 0*c**3 - 1\/8*c**4 + 0. Let w(b) = b. Determine w(k(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.3. Let v be (64\/(-224))\/(2\/3). Let h = 8.3 - 8. Sort h, v, f in descending order.\nAnswer: h, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.74 - 44.74. Which is the biggest value? (a) -2 (b) 3 (c) 203 (d) -5 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/15 + 26*s**2\/15 + 16*s\/3 + 24\/5 = 0. Calculate s.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001000 - -10?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2395052 by 638.\nAnswer: -3754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 16*a + 24*a)*(-12 + 6 - 12).\nAnswer: -324*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 6 - ((-3 - -2 - 1) + -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + -22200022?\nAnswer: -22120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/100 - 29\/50)*12. Sort -4, -17, p in descending order.\nAnswer: -4, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 0. Let n = 0 - w. Let j(f) = 3*f**2 + 11*f. Let z(b) = -b**2 - 4*b. Suppose -a - a + 22 = 0. Determine a*z(t) + n*j(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3666 and -49\/20.\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9558073 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 45*k - 120 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + (-5*1*sqrt(192) + sqrt(192))**2))*5.\nAnswer: -15360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 601. What is the common denominator of -51\/71 and x\/15*75\/(-200)?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 20*w**2 - 184.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -76. Suppose -34*c + 31*c = -6. Calculate the remainder when (1 + c)\/(33\/1210) is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168 - 136 + 180)*(-3*u + 2*u - u).\nAnswer: 248*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11533512 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in 0.4, -5, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201421 + 2?\nAnswer: -201415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let s = f - -6. Let i(n) = -7*n**3 - 2 + s*n**2 + 0 + 3*n**3 - 2*n. Let o(j) = 13*j**3 - 7*j**2 + 7*j + 7. Calculate -7*i(q) - 2*o(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48282757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 10*u + 13. Let r be c(-11). Let l(f) be the first derivative of 7*f**r - 7*f**2 - 2*f**2 - 4*f + 1. Differentiate l(m) with respect to m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7671*k + 7810*k - 2363 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*a = 251*a + 24. Solve -9 = -a*g - 3*m, g + 2*m - 1 = -0*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-10) + 2208\/320. Let p(r) = r - 8. Give p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 5, a: 8}. Give prob of picking 2 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = r + 2, 3*r = -2*r + 5*m - 40. Let u = 3 - r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t + 55. Let g be (-4)\/((-8)\/6) + 3. Let i be (-2)\/((-3)\/(27\/g)). Solve -4*o = -3*m + t, -6*m - o = -i*m - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*c = 492*c + 2623 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1014 divided by 1\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.5 (c) 0 (d) -426.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021704 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/75*(115\/30 - 3)*-4. Factor 4\/5*t**2 - x + 0*t.\nAnswer: 4*(t - 2)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 17. Let i be w(-4). Suppose -1280 = 2*l - 7*l - i*r, 236 = l - 3*r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28475301 rounded to the nearest 10000?\nAnswer: -28480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12867.301939 rounded to one dp?\nAnswer: -12867.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321*w - 1307 + 374*w - 54*w)*(22 + 19 - 3).\nAnswer: -38*w - 49666","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9409*i**4 + 46935*i - 13 wrt i?\nAnswer: -112908*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49548254, 49548257, 49548260?\n\"Answer: 3*k + 49548251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 less than 9465795?\nAnswer: 9465794.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -515254 (base 7) to base 15\nAnswer: -1b25d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1852.76 - 1852.6. What is the smallest value in 5, -30, c?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98588717 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9955673 is divided by 127?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 28*s - 2015. Determine v(61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*t + 128*t - 53*t + 228*t.\nAnswer: 489*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let s be -2*(3\/(-6) + -3). Let m(g) = 3 - s*g - 3. Calculate q(m(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.19 - 0.11. Let q = -2.7 + y. What is the smallest value in q, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/1456 + 1\/(-7) + 384\/39.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.9513 rounded to the nearest integer?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let r = 1 + z. What is the remainder when 1\/(-1 - (-10)\/9) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569 + 545. Which is smaller: l or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l**4 + l - 3*l**2 + 3 + l - 26*l**4 + 2*l**2 as x + v*l**2 + y*l**3 + z*l + w*l**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18100 - -380017\/21. What is the common denominator of c and -82\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7\/(-6))\/((-2)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2906850*h*m**3 + 13*h*m**2 - 273*h*m + 2*h + 6949 wrt m.\nAnswer: 17441100*h*m + 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1657. Let y = -1085 + r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8159 + 8161. Let o(x) be the third derivative of 0 - 18*x**g - 1\/120*x**6 + 0*x**3 + 1\/24*x**4 + 0*x + 1\/60*x**5. Calculate o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/9 - 412684*v**2\/9 + 3301568*v\/9 - 6603200\/9 = 0. What is v?\nAnswer: -206350, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 318, 3\/5, 3\/38, -1\/2, 23, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 275. Give d(43).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6728 and -87\/40.\nAnswer: 33640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3731 and 287.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26*27\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 15392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52010859 to the power of 1\/2, to the nearest integer?\nAnswer: 7212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1560 and -240446.\nAnswer: -375095760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879781827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 8266031.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-59385380)\/(-270))\/((-1312)\/156). Let p = 104609\/4 + d. Find the common denominator of -71\/33 and p.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299997670?\nAnswer: 2, 5, 19, 6842093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 18*m - 21*m + 0*m. Let z(q) = -342*q. Calculate z(f(i)).\nAnswer: 1026*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141466 = 42*s + 10258. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9615\/10 + (-3)\/(-6). Suppose 0 = 6*o - r - 1624. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/80*2)\/(9\/45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148914.478 + -7516.\nAnswer: 141398.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 6, 3\/2, 568, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 1, h: 2}. Give prob of sequence hhm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 61934780*u + 191795848682420.\nAnswer: 5*(u - 6193478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-3 + 5 - -25). Suppose 2 = -c - 5*a + r, -12 = -3*a. Suppose 4*z - 8 = 0, -5*z + 46 = 4*o - o. What is the highest common divisor of c and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 4*m**2 - 2*m + 3. Suppose 4*n - 4 = 8. Calculate the smallest common multiple of 3 and d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37668 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/4, -26 in descending order.\nAnswer: 6, -1\/4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*u = 14 + 95, 0 = -2*u - 4. Let s = 21 - p. Let c = -5\/44 - 205\/132. What is the nearest to s in c, 4, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58826.97 times -0.5?\nAnswer: 29413.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t**4 + 3*t**3 + 2 - 3*t**3)*(4247 + 6627 + 17652).\nAnswer: -28526*t**4 - 57052*t + 57052","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -799 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 + 6*b + 3. Let t be p(-9). Which is bigger: t or -52?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154787 is divided by 4069.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6329043 is divided by 5235.\nAnswer: 5163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*a - 91, -q - 4*q = 5*a - 530. Let k(d) = 12*d**2 + 9*d + 3. Let w be k(-3). Let m = q - w. What is the remainder when 134 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (90\/24)\/(2\/8). Factor 3*d**4 - 12*d**3 - 10*d + d + p*d**2 + 3*d.\nAnswer: 3*d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 19624?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -1 + -1 - 1. Let i(a) = a + 5. Let t be i(r). Let f = 27 - t. Calculate the lowest common multiple of f and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 3*u**3 - 39 - 5*u**2 + 4*u + 41 - 4*u**3. What is i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 + -203 + 2 + (-10 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1067 + 1066. Let v(c) = c. Suppose -26 = -3*s - 5*w, 5*s + 3*w + 2*w = 30. Let o(b) = b - 3. Calculate s*v(l) + t*o(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkzzkk. What is prob of sequence kzzz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*o + 517*o - 258*o + 26*o**3 + 4*o**3.\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16912969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + i - 17145 = 0, -269*i = -273*i + 28. What are the prime factors of a?\nAnswer: 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -m + 2*m + 57, 2*m = 4*a - 58. Suppose 14*j - 11*j = -27. Let r = j + a. Solve 0 = r*w - 4 + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:29 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 6*r + 9. Let h be y(7). Suppose 4*i - 156 + 16 = -h*n, -3*i + 2*n = -112. Let s be (-500)\/3*i\/4. What is s rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(110) - 4*sqrt(110)*-5 - sqrt(110)))\/(-6*2*(4*sqrt(10) - sqrt(10))).\nAnswer: 5 + 25*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*i + 43, -4*t = -i + 5*i - 36. Suppose -t = 4*c - 35. Let b = c - -12. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221749 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54703859?\nAnswer: 7, 7814837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33714\/55 - -613. Let s = 101\/495 + h. Let m = 1 + -2. Is m at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.69 + 79.4. What is y rounded to 1 decimal place?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 116 = -5*i, -5*z - 2*i - i + 580 = 0. What is the remainder when z is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10287 or 1?\nAnswer: 1\/10287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6485*y**2 - 7896 with respect to y.\nAnswer: -12970*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:14 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**5\/40 + 3*k**4\/4 - 3*k**3 + 6*k**2 - 6*k + 109. Factor t(b).\nAnswer: -3*(b - 2)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 + 6*v + 13. Let y(p) be the first derivative of -p**3\/3 + p**2\/2 - p + 18. Let b(n) = g(n) - 6*y(n). Find the first derivative of b(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:50 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -415589.772 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1176 + 2356. Does 59 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*14\/196*(-2)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = y + 1761005, 5*w + 3*y + 2022359 = -912656. Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3954, -7952, -11992, -16074, -20198, -24364, -28572?\n\"Answer: -21*h**2 - 3935*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195436130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4308265 and 34466120.\nAnswer: 34466120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 19*c**2 - 45 + 45 - c.\nAnswer: 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 12 - 72 - (12 + (-31 - (-22 + 10)))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -956 - -961. Let w(r) = -6*r**2 - 3*r + 2. Let a(o) = o**2 - 1. Calculate g*a(s) + w(s).\nAnswer: -s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1567 minus -0.01014?\nAnswer: -1566.98986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose v*r - 272 = -2*x, 6*r - r - 3*x - 329 = 0. Calculate the remainder when r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 6725, -0.23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.512871 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14870, 29609, 44214, 58685, 73022, 87225, 101294?\n\"Answer: -67*x**2 + 14940*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7601 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + c + 4)*(c - 4*c + 4*c) - 234*c**2 + c + 274*c**2 + c.\nAnswer: 41*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 543 - 2?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 + 245. Suppose -p - 2*n + 0*n = -o, -346 = -4*p - 5*n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38209 - 39089 = -40*o for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716907337 to the power of 1\/2, to the nearest integer?\nAnswer: 52124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i + 13. Let n = -17 + i. Suppose 6 = 8*v - 2*v. Calculate the smallest common multiple of v and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3539875805*y - 3539875805*y - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**5 - h**4 - 164*h**3 + 3*h**2 - 7*h - 18 wrt h?\nAnswer: -360*h**2 - 24*h - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/31)\/(l**15*l) assuming l is positive.\nAnswer: l**(-498\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 7*r + 22. What is u(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/16 and -41\/339.\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f4ed (base 16) to base 4.\nAnswer: 333103231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233507 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748904 and 15808.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q**(-12)*(((q**10*q)\/q)\/q)\/(q**(-3\/7)*q*q) assuming q is positive.\nAnswer: q**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzv when three letters picked without replacement from {x: 1, v: 7, z: 4, h: 2, j: 1}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let f(b) be the second derivative of 2*b**3 - 15*b**2\/2 - 10*b. Let x(v) = f(v) + 15*p(v). Determine x(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 48.22. Let a = -0.22 + z. What is the closest to 1 in a, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 9, -38, 167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43539881 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.738 - -5.262. Which is the closest to 0.1? (a) i (b) -24 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 175*o - 22. Let a(b) = -140*b + 18. Let t(d) = 11*a(d) + 9*j(d). Let w(l) = 14*l. What is w(t(p))?\nAnswer: 490*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -211131)*(-28)\/56*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-24)*(o*o**(2\/5))\/o assuming o is positive.\nAnswer: o**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:20 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 470 = 15*y - 14*y, 0 = s + 2*y + 466. Which is smaller: -475 or s?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279212 and 12035.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -763 + 763. Which is the smallest value? (a) 0.3 (b) 3 (c) 48 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46458238, 46458237, 46458232, 46458223, 46458210?\n\"Answer: -2*o**2 + 5*o + 46458235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*i**4 + 3262*i*t - 56646*t wrt i?\nAnswer: -56*i**3 + 3262*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -19. Let f be 4\/14 + 132\/28. Let l be 13*1\/f + -2. Which is the closest to p? (a) l (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183.\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d - 983*d + 1626*d = 18180 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxdgggxdqxxdxdqdqd. Give prob of picking 1 d and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)*-6*(-7)\/(-21). Let d(v) = -v**3 + 8*v + 5*v**2 - 2*v - 3 - 3*v**2. What is d(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 36, 47, 58, 57?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - -0.05. Let x = 1.203 + -1.29. Let c = x - -0.187. What is the closest to -1 in c, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 1326, 4474, 10598, 20688?\nAnswer: 35734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 28*l**2 + 29*l - 5. Let h be p(-29). Which is the closest to 2\/9? (a) -2 (b) 1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13751772*y**2 + 6875878*y**2 + 6875877*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 1237896*t - 1237899.\nAnswer: 3*(t - 412633)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*o - 14075 + 4595 + 3294 - 16881 = 0 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-48)*4\/(-10)*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2233*b + 379*b - 25*b to the form v*b + f and give v.\nAnswer: -1879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2373, -5, 2, -85\/4 in increasing order.\nAnswer: -2373, -85\/4, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + 8*k + 2. Let h be (-9 + -1)*40\/(-50). Let b be o(h). Suppose -2*z + 62 = 2*u, u + 2*z = -b*u + 98. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54543 + 1.7558.\nAnswer: -54541.2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 59599258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/3 + 134*u**2\/3 - 183*u + 138 = 0.\nAnswer: -138, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257*m**3 + 449*m - 242*m**3 - 574*m**3 - 11*m**3 + 203*m**3 wrt m.\nAnswer: -5286*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - i = 11, 4*h - i + 2*i = 7. What is the remainder when 21 is divided by h - (-3 - -2) - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v**2)*(9 + 2 - 2).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 8. Let y be l(4). Suppose y = r + 3. What is the third derivative of r*h**2 - 5*h**2 - 17*h**2 - 14*h**2 - 2*h**5 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 - -1838.233?\nAnswer: 1459.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.046 - 0.136. Let s = 0.3 + -0.2. Which is the nearest to s? (a) -0.1 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -83*u - 44*u - 484 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 206 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -71*a**3\/3 + 336. Let u(r) = 3*r**2. Determine x(u(h)).\nAnswer: -639*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/922722 and 121\/714?\nAnswer: 109803918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(363) + sqrt(768) + -2 + sqrt(768))**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 18*t**2 - 17*t + 4. Let f be x(17). Suppose -f*z = 2*s - 26, s - 11 = -3*z + 11. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/36*0\/2. Suppose j = 5*r - 10 - 105. What is the remainder when 45 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(228) + 2*sqrt(228) + sqrt(228))*2)\/((sqrt(12) + sqrt(192)*-3)*-4))**2.\nAnswer: 684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14) + ((-18)\/36)\/((-98)\/(-12334))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*j**2*l - 3*j**2*o*r + 12*j**2*r + 31*j*l*o*r - 2*j*o*r - 3*l*r**2 + 21*r**2 wrt l.\nAnswer: -74*j**2 + 31*j*o*r - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781470 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5\/4 + 145*t**4\/4 - 525*t**3\/4 - 1825*t**2\/4 + 265*t\/2 + 420 = 0.\nAnswer: -2, -1, 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 7 = 8*w. Suppose -j + 164 + 60 = 0. Suppose -j = z - 3*z. Calculate the highest common factor of z and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n**2 - 6*n - 2 + 0*n**2 + 6*n**2 - n**3 - 1. Let i be r(4). Suppose -3*o = -5*o + 3*w + 24, -i*w + 38 = o. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -25 - 360. Let p be (256\/(-3))\/(15 - (-423)\/(-27)). Let c = p + l. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (676\/1144)\/(162\/(-3564)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-1512)\/(-16))\/(-9))\/(2\/(-4)). Solve -4*n - s - 14 = 0, 3*s + f = -n - 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 492 = 252 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4875*w**2 + 15231*w - 15231*w + (0 - 4 + 2)*(2 - 2 - 2*w**2).\nAnswer: 4879*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21933123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/((h**(-3\/2)\/h)\/h*h))\/(h**0*h*h)**(-18))\/(((h\/(h*h*h*h\/(h**0\/h)*h))\/h)**46)**(9\/5) assuming h is positive.\nAnswer: h**(5323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b**4\/3 + 632*b**3\/3 - 692*b**2 - 864*b = 0. What is b?\nAnswer: -216\/29, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5 in increasing order.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 72 + 12. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from mls.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -2*i + 186*r - 188*r, 0 = -4*i + 4*r + 612. Calculate the remainder when i is divided by 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - v = -12 - 7, 2*y - 3*v - 7 = 0. Let r(m) = -4*m**2 + 2*m - 3. Let a be r(4). Let h = a + 82. Calculate the remainder when h is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2906 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3175117411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 314*p**2 - 78*p**2 + 119*p**2. Let d(r) = 2*r**2. Give m(d(l)).\nAnswer: 1420*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58754 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: Expand ((-2*q - 2*q + 5*q)*(59 - 59 + 7*q) + 2 - 3*q + q**2 - 1 - 5*q**2 + 3*q**2 - 6*q**2 + q**2)*(-q**3 + 3*q**3 + 2*q**3).\nAnswer: 4*q**5 - 12*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**3 - 1)*(11 + 22 - 2)*(5*o - o - 2*o)*((-1 + 1 + 1)*(0 - 3 + 4) - 10 - 6 + 20).\nAnswer: 310*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*w - w + 10, 5*w - 10 = 5*x. Let p be -1*(-3 + 2 + x). Is (-512)\/(-24) + p\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75124037 + 75124071.9999945. Let r = 35 - a. What is r rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*b + 3*b + w, -5*b + 10 = 4*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:49 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 20623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4900 and 64\/136215?\nAnswer: 133490700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -21*h + 5. Let a(q) = -231*q + 56. Determine 5*a(r) - 56*k(r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44468?\nAnswer: 2, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1704 and -5\/74602.\nAnswer: 63560904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10306896, -10306898, -10306902, -10306908, -10306916, -10306926?\n\"Answer: -r**2 + r - 10306896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25974422, 25974424, 25974428, 25974434, 25974442, 25974452, 25974464?\nAnswer: 25974478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 4. Let c be p(2). What is the units digit of 19 - (5 + -2 + c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (-72)\/(-10)*15\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061092.\nAnswer: 2, 11, 139, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let z(f) = -11512*f**2 - 5. Calculate z(p(s)).\nAnswer: -46048*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 783950, 783884, 783818, 783752, 783686, 783620?\n\"Answer: -66*m + 784016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - (13 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -13*x + 19*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-124*v - 68*v + 71*v)*(1 - v - 1) + (2 - 3 + 2 - 2*v)*(-1 + 1 - 4*v) to the form f*v + p*v**2 + y and give p.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-9) - 65\/(-13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2397 and 511207?\nAnswer: 72080187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose m*y + 2*y = 0. Let z(l) = -l + 2400000. Let n be z(y). What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18708, -37459, -56210, -74961, -93712?\nAnswer: -112463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28287*j**3*m**2*x - 50*j**3*m*x - 2921*j**3*m - 2*j**3*x + 336*j*m**2*x + j*x + 2*j wrt m?\nAnswer: -56574*j**3*x + 672*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 39*d - 1150 = 0. Let z = d - 54. Let b(x) = x**2 + 8*x + 8. Determine b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 61352 + 124237 = 61345 for x.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k = -15. Let u(j) = 6*j**2 - 216*j + 5. Let g be u(36). Solve k*b + 6 = g*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/6 - 6)*5. Suppose 11*q - 10*q - 2 = 0, v*z - 5*q = 10. Solve -z*w + w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5820 divided by 5820\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.087*85\nAnswer: -7.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 47 = 3*o, 2*o + o - 2*m - 17 = 0. What is the remainder when 17 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 92080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/24)\/(1\/(-4)*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 17\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -485\/4 or -122?\nAnswer: -485\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -162, -525, -1230, -2391, -4122?\n\"Answer: -19*q**3 - 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 13*z + 22. Let q be g(-2). Suppose -13 - 22 = 5*x. Let u = q + x. Solve -2*y - 4 = 3*a, -u*a - 5*y = -4*y - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 81200000 = 6*k. What is k rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let o = -1 + z. Suppose -o*g + 20 = -30. Calculate the greatest common factor of g and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 1, 4, 3, -12129 in increasing order.\nAnswer: -12129, -164, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + u)*(-18 - 7*u + 18)*(-u + 3*u + 5*u + (8*u - 14 + 14)*(-2 - 2 + 3) + (1 - 5 + 2)*(-2*u - 1 + 1)).\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 5050944*b**3 - 10101904*b**2.\nAnswer: 4*b**2*(b - 2)*(b + 1262738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11947 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/80)\/(129\/602)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*o + 40 = 0, -3*m - 5*o - 3 = 13. Suppose 0 = -m*v + 1 + 5. Find l such that -2 - 4*l + 0 - l**v - 2*l**2 + l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62540545 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 0 + 0 - 9*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1428 divided by -357\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -307*h - 441. Let i be 2 + -5*(-1)\/(-2). Sort i, h, -4.2.\nAnswer: -4.2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1\/((1\/4)\/(153\/204)). Determine c so that -4\/17*c**4 - 4\/17 - 2\/17*c**5 + 4\/17*c**3 - 2\/17*c + 8\/17*c**a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-72)\/(-20))\/((-2)\/(-100)). What is the greatest common divisor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(600) + (sqrt(600) - (-2*sqrt(600)*-4 + sqrt(600))) + sqrt(600))\/sqrt(12))*-2.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -370*j**3 + 4*j**2 - 71*j - 220. What is the hundreds digit of p(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-6) - 4)\/(1 + -2). Suppose -5*j + 5*v + 1 - 46 = 0, j - 5*v + 13 = g. Let n(x) = x**3 + 7*x**2 - 9*x - 1. Calculate n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + b - 14 = -69, -8 = w - 4*b. Let l be w\/3 + 0 - -1. Suppose j + 0*j - l*d - 490 = 0, 4*j - d = 2017. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -169. Suppose -22 = -4*g - t, -4*t + 3*t = 3*g - f. Solve g = -3*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2472, 9944, 22544, 40392, 63608, 92312, 126624?\n\"Answer: 20*m**3 + 2444*m**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0 (c) 513 (d) -1 (e) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 186976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2668\/5 + 24037\/45. What is the closest to -3 in c, 18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3\/z*z)\/z)\/z*z\/z**14)\/(z**(-3)\/((z\/(z\/(z*z*(z\/z**(-3))\/z)))\/z*z)) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592751781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16409421, 16409420, 16409419, 16409418?\nAnswer: 16409417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 5*o. Suppose c + 197 - 192 = 0. Let j(d) = 7*d**2 + 21*d. Calculate c*j(b) - 21*i(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 - -100001010001?\nAnswer: 100010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 10 + -5 + -5 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1700) + 3))**2 - -4*sqrt(1700)*2.\nAnswer: 1580*sqrt(17) + 42725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:15 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 57 - 498 = u, 3*w - 4*u = 251. Suppose -w = -g + 5*o, 204 = 3*g - g + 3*o. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**3 + 63*c**3 + 378*c**2 + 425*c**2 - 803*c**2.\nAnswer: 93*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26797893 is divided by 195?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:04 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296300.63 rounded to the nearest one thousand?\nAnswer: -1296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 32. Put -3, 3, 2, i in decreasing order.\nAnswer: 3, 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -20. What is the tens digit of (41 + 4)*(-6)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-8.7\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c5 (base 15) in base 14?\nAnswer: -1c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14))**(-35)\/(c**(-1\/13))**(-10\/11) assuming c is positive.\nAnswer: c**(70060\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + f + 4, 4*o + 5*f = 4. Let m = o - -6. Solve -2*w - 7 = 4*v + 1, -v = m*w + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0033, 0.05, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606, -78, 450, 978, 1506, 2034?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 14\/21*273\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9+777317957975\nAnswer: 777317957975.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiippiiijiiiiiq. What is prob of sequence jiqi?\nAnswer: 13\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -116736 less than 0.6?\nAnswer: 116736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -20173541?\nAnswer: 20173544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 14*p + 14. Let l(r) = -r + 1. Let d(j) = -31*j + 32. Let q be d(7). Let z = q + 80. Let b = 117 + z. Determine b*l(g) - y(g).\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -13*f**2. Let m(c) = -77*c**2. Let k(o) = -6*m(o) + 35*p(o). What is k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (16 + 31) - -19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 11*n + 31*n - 71*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3 + 5*g + g + 11*g**3 - 9*g**3. What are the prime factors of q(4)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) -5\/4 (d) 3\/4 (e) -4\/9 (f) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**5\/10 - q**2 - 20*q - 20. Let m(x) be the first derivative of f(x). Let y(d) = d**3. What is m(z) - y(z)?\nAnswer: -3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 + 17*h. Calculate the least common multiple of z(-11) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-21))\/(133\/3819)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -326, -508, -752, -1052, -1402, -1796, -2228?\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4475 or -94004\/21?\nAnswer: -4475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1912\nAnswer: 1\/1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26485, 26488, 26491, 26494, 26497?\n\"Answer: 3*b + 26482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13737559 at most as big as 13737561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/((-3)\/(-4)). Is j + -1*-13*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3, -4\/7, 2\/7, 252, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5886*p + 5977*p - 2730 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -2.8, 2\/77, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29989.\nAnswer: 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**8\/120 - 3*d**4\/2 + d**3\/2 + 39*d. Let j(q) be the second derivative of v(q). Differentiate j(w) wrt w.\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:24 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148463630 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 8398.\nAnswer: 92378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2\/57)))\/x)\/(x**(8\/9)\/x))**(-44) assuming x is positive.\nAnswer: x**(6424\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*a + 13 = 0, 37519*o = 37518*o - 2*a + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/(-168))\/3)\/(39\/(-21))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29521, -59515, -89493, -119449, -149377?\n\"Answer: g**3 + 2*g**2 - 30007*g + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.517443nm to centimeters.\nAnswer: 0.0000008517443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/3 - 10\/(-15). Suppose j + 4*w = 23, a*j + 1 = 5*w - 9. Factor 21 - 8*k**2 - k**3 - 3*k**j + 11 + 16*k.\nAnswer: -4*(k - 2)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*b**2 + 144*b**2 + 208*b**2 - 887*b**2 + 177*b**2.\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*2093\/(-949) - (-2 + 10). Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000984 rounded to 6 dps?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.3. Let m = s + -1.3. Let v = -5 + 4.6. Which is the third biggest value? (a) 0.4 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 74*f**2 + 15*f - 76. What is the hundreds digit of d(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2262 and 109\/870?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807*c = 820*c + 26. Let f(s) = 27*s**3 - 5*s**2 - 5*s - 3. Let j(l) = -13*l**3 + 2*l**2 + 2*l + 1. Calculate c*f(d) - 5*j(d).\nAnswer: 11*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.1693271 to 1 dp.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(24*p**4 + p - 20*p**2 - 3*p - 25*p**4).\nAnswer: 3*p**4 + 60*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**3 + 2*s**3 - s**3)*(-5 + 4 - 2) + (-6*s + 7*s + 5*s)*(7*s**2 - s + s) + (2*s**2 + s - s)*(s - 2*s + 0*s) - s + s - 2*s**3.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6 = -i, 115 = 20*b + i + 41 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 3. Let m be c(0). Suppose 4*d - 1 = m*u - 0, 3*u + 5*d = 35. Calculate the lowest common multiple of u and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 7. Let z(r) = -r**2 - 6. Let b(f) = -2*f**3 - 37*f**2 - 19*f - 16. Let i be b(-18). Calculate i*a(t) + 3*z(t).\nAnswer: t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11129 and 1795?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 31. Sort d, -5, 5 in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3)*48\/(-80)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 85, -5, -3, -385, -2 in increasing order.\nAnswer: -385, -5, -3, -2, 10, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:49 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 11, l: 1, n: 2}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -q + 19 - 3, -5*q + 5*l + 40 = 0. Let d be 69\/(-115) + 16\/q. What is the tens digit of 1974\/(-21)*d\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 10 = 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4881*f**2 - 4916*f**2 - 262*f**3 + 14704*f**2 - 4907*f**2 - 214*f**3.\nAnswer: -476*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(117) + -4*(sqrt(117) + 0))*-6 + 2.\nAnswer: 20 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -18 + 8 - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 5964994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7206446 and 806.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -56, -72, -106, -164, -252, -376?\n\"Answer: -s**3 + 3*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, -13 in descending order.\nAnswer: 0.1, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 1668*z + 100078. What is u(-58)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m - 6. Let z be f(4). Let d(n) = z*n - 2*n - 4*n + 13*n. Let t(o) = 2*o**2 - 3*o**2 + 0*o**2. What is d(t(l))?\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, -1, 6, 11, -3 in decreasing order.\nAnswer: 11, 6, -1, -3, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 41*t**3 - 696*t**2 + 365*t - 6487. Determine c(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/6, -24\/11, 0.11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -12, -20\/9, -243\/4?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s - 48. Give g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 + 7*y**3 + 8*y**3)*(-2 - 1 + 0)*(2 - 2 + 2*y).\nAnswer: -126*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29980070.659989 and 0.3.\nAnswer: -29980070.359989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196328715*o**6 + 3*o**2 + 4294418*o + 3?\nAnswer: -23559445800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 - 2*y + 90. Let o be (6\/4)\/(6\/8). Let g(m) = 5*m**2 - 2 + o. Calculate g(d(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1905, 1944, 2009, 2100?\n\"Answer: 13*b**2 + 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.8 + 14. Let n = 1 - g. Let k = 7 + -7.3. Which is the nearest to n? (a) 0.3 (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 32 - 72 + 4 - 13*d. Let q be v(-3). Solve 4*h + 3 = -5*l - q, 2*l + 3*h + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 65716*n - 65748*n + 2.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-4)\/(-6)*(-36)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(1458)*-1 - sqrt(1458)).\nAnswer: -54*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 232*w - 705.\nAnswer: (w - 3)*(w + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -27*k**7\/35 - 33*k**6\/10 - 38*k**5\/15 - 2*k**4\/3 + 290*k**2. Factor a(v).\nAnswer: -2*v*(v + 2)*(9*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109681, 438662, 986947, 1754536, 2741429, 3947626?\n\"Answer: 109652*r**2 + 25*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/23118 and -47\/7198.\nAnswer: 83201682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124779 or 499111\/4?\nAnswer: 499111\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o - 123. Let p be n(-9). Let m = 7.024 - 0.024. What is the third smallest value in p, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i + 4. Let q be r(3). Calculate the smallest common multiple of 6 and q\/(-3) - (-8)\/48*-4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883834891?\nAnswer: 431, 911, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54360, -108718, -163076?\n\"Answer: -54358*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -21 + 98*q**2 - 162*q**2 - 8*q + 63*q**2. Determine r(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012202120110 - -1?\nAnswer: -11012202120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -148.5. Which is the biggest value? (a) -31 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17858, 17857, 17856, 17855, 17854, 17853?\n\"Answer: -b + 17859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 + -0.34. Let i = 0.6 + -0.5. Which is the third biggest value? (a) d (b) i (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/19 at most as big as -135.8924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*f**3 + 4*f**2 + 39\/5*f + 18\/5.\nAnswer: (f + 3)**2*(3*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 2\/7, 6, 5 in increasing order.\nAnswer: -3, -1\/2, 2\/7, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/9, 0.5, 6, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let j = 19 + -28. Let n(l) = l + 10. Let o be n(j). Let q(c) = 6*c + 3. Suppose -4 = 5*f - 4*f. Determine f*d(s) + o*q(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*k + 6971 = -5665 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 + 4621*m - 110557. Calculate g(25).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 6*d + 8*d to the form c*d + x and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrprrpgpprgrpbpg. Give prob of sequence rpb.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3503, -4, -2.\nAnswer: -3503, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1976, -3922, -5856, -7772, -9664, -11526, -13352?\nAnswer: -15136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 2116004*h + 122714776.\nAnswer: 4*(h - 528943)*(h - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 3. Let n be v(-3). Let k = n + 2. Suppose -d = 3*d - 3*u - 18, u = 3*d - 11. Solve 0 = d*g + 2*g - z + 6, 4*g = -k*z - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-64)\/1344)\/((-2)\/(-12)))\/((-2)\/532*18)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473027667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 5 = -32. Solve k*x - 10*x = -28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 2*h + w, 10 = 3*h - 2*w. Suppose 2*z - 15 = -11. Find the third derivative of z*o**2 - o**3 - 3*o**2 - h*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42186524 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2058*l + 1804. Is 27 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617787 and 30127?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 4*t**3 + 0*t**2 - t**3 - 7 + t**2. What is l(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/(-6) + (-4)\/3. Solve -5*x = -3*y + 22, 3*y = 4*x + 7 + f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691351564 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {q: 15, b: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855*j - 867*j + 13680 = 0. Is 1140 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3144460.7 + 1100691?\nAnswer: 4245151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - s - 5. Let f be n(-4). Let r = f - 34. Suppose -3*w - 2*y = -26 - 27, 4*y = -3*w + 61. What is the greatest common factor of w and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 109.000121. Round b to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 - 30 = 44*s - 185. Solve 50 = s*r + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*d + 2512*d - 154*d = 164700 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 13*t = 88. Let p(x) = -2*x - 11. Let y be p(t). Differentiate 8*v - 7 + 4*v - 23*v - y*v with respect to v.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 - 43418*v + 471280681 = 0 for v.\nAnswer: 21709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 954*u + 1909\/2.\nAnswer: -(u - 1909)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68913, -94608, -120303, -145998?\nAnswer: -171693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3364 - 441?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**6)*r*r**(-6)*r)\/(r**(-3\/14)*r*r**9*r) assuming r is positive.\nAnswer: r**(-291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0437 - -113.7563. Let q = x + -114. Which is the closest to 3\/16? (a) 3 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.78036 millimeters to micrometers.\nAnswer: 38780.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 11874 = 12147 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.522042 rounded to 2 dps?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -33*v - 36*v + 56*v + 55*v + 141*v. Let g(m) = -2*m**2. What is p(g(t))?\nAnswer: -366*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.3 (b) -4 (c) -0.5 (d) -0.04647 (e) 1.36 (f) 11 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2 = -g. Suppose 246 = g*t - 5*t. Let b = t + 147. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4\/2 + 15003*o**3\/4 + 22491*o**2\/4 - 3*o\/4 - 7497\/4 = 0?\nAnswer: -2499, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 194326319 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 428440039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from ccccxccccxccxc?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145126*q**2 + 145127*q**2 + 25 - 4.\nAnswer: q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*r + 70 = 7*r, -2*r = 5*m - 212. Solve 3 = -37*v + m*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-3))\/((-4)\/180)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.246 + 0.04?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.4 + -19. Sort 0.2, 0.1, m in increasing order.\nAnswer: 0.1, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 33 = 17*o. Let r(l) = 994 + o*l - 994 - 7*l. Let c(b) be the second derivative of b**4\/12 - b. Determine r(c(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-66)\/54 + (-1)\/(-9). Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.023111 and -8.\nAnswer: -8.023111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + g + 1746673, 4*z = 3*z + 2*g + 349340. Let f = z - 235334. What is f rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 3*u**2 + u**2 - 5 + 6*u**3 - 8*u**3 + 2*u**3 to n*u**2 + t*u**3 + p + h*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 4*j**2 - j. Let n be m(-4). Suppose -3*p - 6 = -6*p, -n*p = 4*k - 40. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -143 - (38 + -5) - -21) + -8 + -1\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 120 - 516 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 3 + sqrt(98))*-6 + sqrt(98) + -2)**2.\nAnswer: 3080*sqrt(2) + 12258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/5, -1\/3, 3, 6\/277 in increasing order.\nAnswer: -19\/5, -1\/3, 6\/277, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 - 4*y + 11. Let i be q(-5). Suppose 2*f - 102 = -4*u, i*f + 47 = 2*u + 3*f. Calculate the remainder when u is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 12. Let k(m) = m. Calculate o(k(h)).\nAnswer: 5*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6d574 (base 15) to base 11\nAnswer: -219115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/(-1530)*20\/(-38)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1532, -3076, -4624, -6176, -7732, -9292?\nAnswer: -10856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 1460*q**3.\nAnswer: -q**3*(q - 1460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 14. Suppose -2*a - 5*a - 77 = 0. Let w be u(a). Let n(b) = -b**3 + 4*b**2 - 4*b + 4. What is n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 20*f + 24. Give v(-24).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -3\/5, 0.66, 19, -0.5, -1.\nAnswer: -1, -3\/5, -0.5, 0.66, 2\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4304656?\nAnswer: 2, 269041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 22 - 7. Let m(t) = t**2 + 2*t + 1. Let j(f) = 2*f**2 + 2*f + 2. What is c*j(u) - 4*m(u)?\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 90*o + 19. Determine d(-2).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13334.61 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 357010 = -2*d - l, -5*d + 4*l + 892519 = 0. Let p be d\/616*(-15)\/(-854). Let u = -1\/976 - p. What is the common denominator of u and -85\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -9.\nAnswer: -9, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 134, -698, -36\/7?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.55 and 578?\nAnswer: 585.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 2 - u**4 - 21*u**2 + 10*u - 14*u in the form h*u + c*u**3 + o + a*u**2 + y*u**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 9. Let k be g(-12). Suppose -33 = -k*z + 15. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29253*g + 4089 - 58499*g + 2018 + 29251*g)*(0*g + 5*g - 3*g) to the form l + t*g**2 + f*g and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -622 - -11640?\nAnswer: 11019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.4 (c) 2 (d) -44 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 + -2 + -3)) + 3 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/10*(-74)\/(-185).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {t: 3, i: 3, z: 1, s: 2, c: 1, b: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - 106.84. Let z = 116.2 + h. Let u = z + -8.2. Which is the third biggest value? (a) u (b) 2\/11 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24116738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 32. Suppose 6 = -u + x. Let y be 8 + -4 - u\/(3\/6). Solve 0 = z + y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 1\/67 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/65)*m\/(m\/(m\/(m\/(m\/m**1)))))**(3\/25) assuming m is positive.\nAnswer: m**(201\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 1. Let v be h(-2). Let k be -1*(6 - -1) + 0. Let r(f) = f**2 + 5*f - 5. Let g be r(k). What is the greatest common divisor of g and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 118644.4.\nAnswer: -474577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*v + 4*v. Let g(x) = -8*x + 1. Suppose -10 = 5*j + 5*k, 5*j - 3*k = 13 + 1. Let f be g(j). Is v bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101340 (base 5) to base 13.\nAnswer: 16a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 27. Let n = 11 + -16. Let h(q) = q**2 + 5*q + 3. What is the smallest common multiple of f and h(n)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -663\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 3011.387877189.\nAnswer: 3010.887877189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 3, 1, 17, -4 in descending order.\nAnswer: 17, 15, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -22. Factor -a*h - 2 - 4*h**3 + 177*h**2 - 177*h**2 + 2*h**4 + 6*h.\nAnswer: 2*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 383, 376, 357, 320, 259, 168, 41?\n\"Answer: -u**3 + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, y: 4, j: 1, z: 2}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3 - 1627*g**2 - 215471*g + 1118155 = 0.\nAnswer: -1481, -151, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 511980*y**3 + 4608090*y**2 + 13824540*y + 13824675.\nAnswer: -5*(y - 102405)*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10975 and 50?\nAnswer: 21950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 times -8?\nAnswer: -2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**3 + 5*n**3 + 0*n**3 + 6*n**3 - 5*n**3 + (-2*n**2 + 0*n + 0*n)*(-n + 44 - 44) + 6*n**2 - 6*n**2 - 23*n**3.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139803647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutuut. Give prob of picking 1 u and 2 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 42. Let j be (-3248)\/400 - (-60)\/500. What is z(j)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 181 = 167. List the prime factors of g.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**10\/((c**(-1\/5)\/c)\/c**(1\/6))*((c*(c**(-1\/2)*c)\/c*c*c*c)\/c)**(-3\/22)\/(c**(1\/5)\/(c*c**(-1\/5))) assuming c is positive.\nAnswer: c**(2723\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 639329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-5))\/(8\/(-20)). Let x = 9973.9 - 9974. What is the closest to 1 in 1\/9, u, 0, x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975443910.\nAnswer: 2, 5, 11, 151, 118931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c - 1. Let x(r) = -8*r**2 - 6*r - 6. Let l(v) = 6*g(v) - x(v). Factor l(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 39\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 2\/5 (c) 64\/79 (d) -3 (e) -284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -4 (c) 5 (d) 95554.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 5*x**2 - 6. What is s(-3)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 120.4. Let u be 3\/81*33 - 1. Which is the third smallest value? (a) -9 (b) 0 (c) h (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -771097 minus -0.037063?\nAnswer: -771096.962937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.70935 nanometers to micrometers.\nAnswer: 0.00370935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-2 - 3 + 1) - 3 - 3 + 7)*(-6*f**2 - 2 + 2)*(4 + 15 + 78) - 6*f**2 + f**2 + 3*f**2.\nAnswer: -2912*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*n - 10 = -21, -5*k - 4*n = -23. Suppose k*r = -10*r + 4420. Is r a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75199122 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 + 3*y**2 + 4. Let q(u) = -3*u**3 + 2*u**2 + 3. Suppose 4*j + 8 = -0. Calculate j*c(g) + 3*q(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-24)\/((-384)\/5168). Calculate the highest common factor of m and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015330368 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - 10. Let d(m) = -m - 2. Calculate d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 62 = -3*x + 50, 3*x + 5*c + 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 4\/6)\/((-3)\/9). Suppose -1 + 7 = t*u. What is the greatest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 - 203*i + 30635. Let r be j(83). Let h = 3 - -3. Solve g + 2 = -f + h*f, 4*g = -5*f - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11971348?\nAnswer: 2, 2992837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 346149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/11, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13731 + -242?\nAnswer: 13467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2234172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1406780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8639812 by 4.\nAnswer: -2159953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = h + 3*h. Let p(w) = -69 + 20 + 15 + 21 + 3*w. What is the remainder when p(h) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 13*t + 14. Let r be m(13). Suppose 54 - r = -5*x. Let y = x + 10. Solve -4 = y*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.1 and 75.\nAnswer: -2707.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**2 + 2*w + 1. Let o be 1*2 - 0*(-3)\/(-6). Suppose -o*y - 4*g = 4, 2 = 5*y - 0*g + 4*g. What is the tens digit of q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270279*k*l**3*t + k*l**2*t + l**3*t + 149*l**3 - 7*l**2 + 56*l*t - 1 wrt k?\nAnswer: -270279*l**3*t + l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 620967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7*l + 2*l - 38 = 0, 4*l - 29 = -i. What is the second biggest value in i, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*k + 4683 - 995 + 2633 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 922 = 4*t + 6*g, 243 = t - 5*g. Let b = -228 + t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-15 - -11) - 29 - 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9248 - 5134. Let f = -9814 + r. What is f rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 624 + -629. Let p(l) be the second derivative of -l**5\/20 - l**4\/2 - l**3\/2 - l**2 - l. Determine p(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8431 is divided by 248.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.48 + 20.5. Let p = 3 - z. Let a = -0.08 + p. Which is greater: 2\/5 or a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48476691?\nAnswer: 3, 79, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 4, g: 1, h: 6, e: 2, m: 3}. What is prob of picking 1 r and 1 z?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2)\/4 + (-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + 4\/(8\/5). Suppose -2*s - 228 = -3*r, -j*r = -3*s - s - 472. Is 42 a factor of (s\/(-5))\/((-8)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)\/l*l**9*(l**(1\/2))**(-1\/5) assuming l is positive.\nAnswer: l**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m + 4*x = 12, -15 = 2*m - 5*x. Suppose m = -5*j + 11 + 9. What is the third derivative of -j*n**2 + 3*n**5 + n**2 - n**2 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6682270)\/105)\/(-2*5\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82775134*v**4 - 30726291.\nAnswer: -331100536*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 66 = -51*s + 49*s, 3*s - 15 = -3*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 176*w - 938 = -2043 + 10697 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 345. Suppose -6*q = -2*q - 8. Suppose q*h = 5*h - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.1, 82, -0.3, -100, 1\/7?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46964298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*441\/(-1911)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166\/197 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6, r: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 112 = 42*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-11 + 14 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655616 is divided by 163900?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**3 - 1426*f**2 + 9*f - 2. Let q(y) = 5*y**3 - 711*y**2 + 4*y - 1. What is -4*n(r) + 9*q(r)?\nAnswer: r**3 - 695*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*k + 10, -4*k + 4*d - 17 = -7*k. Let g(h) = -22*h**3. Let f be g(k). What is the greatest common divisor of 44 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, e: 3, o: 7}. What is prob of picking 1 e and 1 b?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 1411, 1817, 2223, 2629?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13991822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 12*a**2 - 5. What is p(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16670721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 9*i**2 - 7*i + 4. Let l be v(5). What is the hundreds digit of (5 + -6)*l + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12261934?\nAnswer: 2, 6130967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f = 2291 + 333 + 1261 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*a**2 - 134579*a + 134579*a.\nAnswer: 888*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761 - 1235241*u**2 - 1521 + 760.\nAnswer: -1235241*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/12 + 5*a**3\/3 + 4*a. Suppose 3*s = 2*t + 20, 2*t + 2*t = s - 40. Let n be k(t). Sort -3, 3, n in increasing order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6001 divided by -5.\nAnswer: -6001\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 - -4.2. Let s = m - -99.7. Let p = 97.8 - s. Put 0.1, p, -2\/7, 8 in decreasing order.\nAnswer: 8, 0.1, p, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*n + 16 = 3*n, 4*p + n = 16. What is the nearest to -1 in -2, 2, 0.258, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:34 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/9 - 3985*s**2\/3 - 3969392*s + 35736484\/9 = 0. Calculate s.\nAnswer: -5978, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38536 + 38541. Which is the closest to -0.5? (a) -5 (b) -0.27 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 25\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 283*n = 838*n - 281*n - 271*n + 196, -32 = 2*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15282315 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1856 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, t: 1, r: 1, y: 1}. What is prob of picking 1 o and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -16)\/(2\/(-4)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 1. Let y be d(1). Let p be (y - 2) + 3 - 3. Let o = p - 5. Do -6 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-3))\/(-4))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1983*c = -30106 - 11537 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 37, -2, -23, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-2*3)**2 + 3*(sqrt(77)\/sqrt(7) + sqrt(11))*-1.\nAnswer: -6*sqrt(11) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 560*c**3 - 560*c**3 - 2*c + 1109*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 918 = -4*a, -8*l + 4*l - 238 = -a. Calculate the greatest common factor of a and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222 and -250.\nAnswer: 55500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 19. Let f(i) = -16*i + 3*i + z*i + 2*i. Let h(g) = 15*g**2. Determine h(f(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646800 divided by -10.\nAnswer: 64680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 - 3)*(-3 + o + 3) + 176711 + 1075*o - 176711 to the form a + g*o and give g.\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 4:27 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.019904 rounded to the nearest integer?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.93 to the nearest integer.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*w + 70 = 694*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*s - 245, -8*r - 147 = -11*r + 2*s. Let l = -34 + 56. Let a = 36 - l. What is the highest common factor of a and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5502 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/140 - d**4\/28 + 48*d**2. Factor n(w).\nAnswer: -3*w*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4510654*p**5 - 2*p**3 - 96188850*p?\nAnswer: 90213080*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 e, and 1 t when three letters picked without replacement from {p: 3, t: 1, s: 1, x: 1, c: 12, e: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**4 + 30*o**3 - 57*o**2 + 42*o - 9. Let y(g) = g - 242*g**2 - 241*g**2 - g**4 - g**5 - 1 + 482*g**2. Let x(s) = -l(s) - 3*y(s). Factor x(c).\nAnswer: 3*(c - 1)**4*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/40 + 41*x**4\/72 + x**3\/2 - 26*x**2\/3 - 1208*x. Determine z so that h(z) = 0.\nAnswer: -13, -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 10 = -2*l, l - 138*g = -134*g + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 - 2474\/5. Let t = 3 + -3.2. Let v = 0.11 + -0.41. What is the closest to 3\/2 in v, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (-2*sqrt(228) - sqrt(228))*5)*-1)\/((-4*(sqrt(12) + -2*sqrt(12)) - sqrt(12))*1).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-20)*(-1)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-10)\/(-100)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -403 + -0.1021.\nAnswer: -403.1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*w + 6, -2*v - w - 13 = -4*v. Suppose 3*h - h = 3*c + 3, -5*c = -v*h + 7. Let g = 39 - c. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -50 - ((-3 - -9) + -33 + -1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303127319.\nAnswer: 11, 131, 210359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 8) to base 9\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-33)*r**(-2\/3)*r*r**(1\/43)*r\/r**8 assuming r is positive.\nAnswer: r**(-4985\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4116 = -3*d, -4*o + 3771 = -3*d - 12684. What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -13, -14, -15, -16?\n\"Answer: -p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from flefh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -594 divided by 3\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-3)\/3) + (58 - (-2064)\/(-40))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -48*j - 1. Let s = -23 - -33. Let a = s - 14. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1102 - 21067?\nAnswer: -22171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49957 = -77*o + 134349. What are the prime factors of o?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/9, -51.6, 78?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12541 - 2124?\nAnswer: 10413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 16*o**3 + 5 - 12*o**3 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) + (-240)\/480)*((-12)\/9)\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abqqbbbnabqqqbbbqb. What is prob of picking 2 q and 1 n?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*b - 9*b + 70 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -27. Let n(z) = w*z + z - z - z. Let h(v) = -8*v. Calculate n(h(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.81 rounded to zero decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-23 - -61)\/4826?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4640 divided by 928?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + 5. Give q(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*g**2 + 87*g**2 - 31*g**2 + 149*g + 1562*g**5 - 29*g**2 wrt g.\nAnswer: 93720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -887 + 889. Suppose -5 = 4*r + 19. Let z be (-5 - -8)\/(r\/4). Is j less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 790114, -5, 2\/11, 12 in increasing order.\nAnswer: -5, 2\/11, 12, 790114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59744 is divided by 251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 - 327546383 + 327546383.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64573043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (105\/14 - 10)\/(10\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -139*g - 222. Calculate the remainder when v(-3) is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13*j**3 - 1 + 64*j**3 - 57*j**3 - 48*j**3.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.381555 weeks to microseconds.\nAnswer: 230764464000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 10869*l**3 - 10868*l**3 - 3*l**2.\nAnswer: l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 116 = -384. Let a be ((-12)\/n)\/((-7)\/175*-15). Determine o so that 0 - a*o**3 + 0*o + 4\/5*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 2*s**3 + 6*s**3 + (-3*s**2 - 10*s**2 + s + 7*s**2)*(-4*s + 4*s - 2*s).\nAnswer: 15*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.82 + 0.35. Let d = 0.03 - t. Let w = -9 - -14. Which is the second smallest value? (a) -4\/5 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13702711.9 rounded to the nearest 10000?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/28)\/((-4)\/(-2)). What is the third biggest value in -69, -1\/8, u?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*f**3 - 222*f**3 - 26 - 98*f**3 + 0*f**2 + f**2 + (3 + f - 3)*(-3*f**2 + 5*f**2 - 3*f**2) as z*f + k + d*f**3 + g*f**2 and give d.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*r + 162 = 0, 4*j + 75 - 429 = -2*r. Calculate the remainder when j is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6810 - -9?\nAnswer: 6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 - 12 = 0. Let v = h + -19. Let m be v\/2*4\/(-3). What is the greatest common factor of 55 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 1900.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.086869 - -55375092\nAnswer: 55375092.086869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 1 - 1)*(15*z**4 - 13*z**4 - 17*z**3 + 4*z**3 + (-33*z**3 - 15 + 15)*(2*z - z - 3*z)).\nAnswer: 136*z**5 - 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -939 and 0.5.\nAnswer: -469.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**3 + 7*c**2 + 21*c - 23. Let l(t) = 7*t**3 - 5*t**2 - 14*t + 15. Let s(p) = 8*l(p) + 5*y(p). Let f be s(6). Let w = -3 + 1. Sort f, w, 2.\nAnswer: w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1191 + -1191. Which is the closest to n? (a) -6 (b) 4 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 393*g + 10. Let p be d(7). Let r = 10991\/4 - p. Calculate the common denominator of r and 1481\/210 + (-94)\/(-1974).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**2 - 6*i - 5. Let f(o) = 24*o**2 + 770*o + 69. Let q be f(-32). Let y(p) = p + 1. Calculate q*y(h) + x(h).\nAnswer: 9*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (2*sqrt(76) + sqrt(76)))*2)\/(sqrt(4) + (sqrt(108)\/sqrt(3))\/sqrt(9) + sqrt(4) + sqrt(4)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 30833 + 30833 + s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1589*n**4 + 12*n*r - 13393*r wrt n.\nAnswer: 6356*n**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 0 - (-22 + 33 + -13)) + 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5 in ascending order.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 8*m - m. Suppose m = -3*b + 7*b - 316. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13986 and 17316.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(5 - 378\/77).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*k + 20, -2*d - 5*k = 2*d - 52. Is 24 a factor of d\/(-6) + 1100\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 36361\nAnswer: -6\/36361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 13*w + 865. Give a(23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 360 = -0*c + 3*z, 0 = -2*c + 3*z + 245. Suppose p + 86 + c = 0. Let v = p - -436. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 8.32992?\nAnswer: 4.16496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 108255348*w - 1464902546325138 = 0. What is w?\nAnswer: -27063837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 25344.5360929.\nAnswer: 25339.5360929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = v + 3*q, 0 = -2*v + v + 2*q + 72. Suppose -d = 2*d - v. Calculate the remainder when 104 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.3 - 3.3. Put k, -2, 1.4 in decreasing order.\nAnswer: k, 1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142715*b**4*k**3 + 2*b**3*k + 13*b*k**3 + b + 3049*k - 1 wrt b?\nAnswer: 1712580*b**2*k**3 + 12*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-70)\/8)\/(-7)*44 is divided by ((-68)\/4 - -3)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256195.\nAnswer: 5, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1\/10 (c) -1\/21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -750 to the nearest 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -252 and 447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 115, 97, 59, -5, -101, -235?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r = 3308146 - 3308941 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 444303 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llee when four letters picked without replacement from {l: 2, d: 7, e: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6009579 + -1?\nAnswer: 6009578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8232 is divided by 3380.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x**(-3)\/x)*x))**(-3\/2))**33)**(-2\/89) assuming x is positive.\nAnswer: x**(-594\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101094.\nAnswer: 2, 3, 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4595, -4616, -4675, -4790, -4979?\n\"Answer: -3*y**3 - y**2 + 3*y - 4594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11 - 316\/79.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 72 - 92 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 31*a**2 - 227*a + 366. Give b(-19).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3497*j**3 + 3*j**2 + 13*j - 14939. Let w(v) = 1166*v**3 + v**2 + 4*v - 4978. Let m(r) = 4*t(r) - 13*w(r). What is the first derivative of m(s) wrt s?\nAnswer: -3510*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 803*b**2*c*g - 35*b**2 + 2*b*c + 9*b*g + 3*c*g - 303*g wrt b?\nAnswer: 1606*c*g - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7224 and 105.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/11242 + 3*(-7000)\/876?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - c**3 - 9*c**3 + 14*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3513, 3 in decreasing order.\nAnswer: 3513, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32405\/12962*((-6)\/(-5))\/(6\/(-80))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110818?\nAnswer: 2, 1555409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:41 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6900 and -54\/575.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 956 - 923 - (1 - -88)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 + g**2)*(-6*g + 5*g - g - 15*g**2).\nAnswer: -15*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7817141ml to litres.\nAnswer: 0.0007817141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 60*c**3 - 270*c**2 - 540*c - 405.\nAnswer: -5*(c + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 318.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 + 650450*a + 21154260125 = 0.\nAnswer: -65045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13678*y - 22547*y + 2013*y to the form z*y + s and give z.\nAnswer: -34212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + r + 4. Let y(t) = -5*t**2 + 4*t + 4. Let x(k) = 4*v(k) - 3*y(k). Suppose -23 + 3 = 5*l. Is 3 a factor of x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120 divided by 1.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 3*t**3 - 4 + t + 0 + 3*t**2 + 2. Let d be y(1). What are the prime factors of 10\/35 - d\/(-7)*117?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154921 and 238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 23617*f**3 + 18 - 23619*f**3.\nAnswer: -2*f**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y**3. Let j(l) = 5*l**3. Let m = -121 - -152. Suppose -2*d - m + 11 = 4*c, -5*c - 35 = 5*d. Calculate c*w(k) + 10*j(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**2 - 4*s - 15. Let i(h) = 9*h**2 - 2*h - 8. Give -11*i(c) + 6*q(c).\nAnswer: 3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15264 and 66951720.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8716 + -6964083\/799. Let r = -115858\/2397 + u. Let d = r - -49. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 436 and -38202299?\nAnswer: 38202735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, y: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132 = -71*h + 138 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklllkkkkkkkkkk. Give prob of sequence lkk.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 4, -204\/7, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 - 1 = 0. Let r(a) = -6*a - 74. Let g be r(-13). Solve d*i = g + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988, 924, 860, 796?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -m + 112, -2*z = 3*m - 8*m - 136. Let r = z + -43. Solve 0 = 2*j - r + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 102 = -7*x - 2*r, 96 = 5*x - 4*r. Solve 3*h = 3*n, -5*n + h + 0*h = x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 48. What is the derivative of -37 - 3*v**b - 1941*v + 1941*v + 4*v**3 wrt v?\nAnswer: -12*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/27)\/(-1))\/(18*6\/(-1944)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100335*m**3 + 546228 with respect to m.\nAnswer: -301005*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -1 - (-14)\/(-6). Let u(x) = -3*x - 14. Let k be u(-6). Let w be 1 - ((-3)\/4 + 1). Put n, w, k in descending order.\nAnswer: k, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 12. Let y be (-2)\/r + 8\/3. Solve -4*c + y = -3*w - 25, 4 = 2*w + 3*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3479525)\/(-1050))\/(-337))\/(1\/(-6))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00857532 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -31. Let c(b) = 34*b - 4. What is the hundreds digit of c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:24 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 - -2) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*u + 30, -u - 49*j - 74 = 3*u - 24*j - 34*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4\/4 - 281*g**3\/2 + 911*g**2\/4 - 29*g - 57 = 0.\nAnswer: -114, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -59930583 in decreasing order.\nAnswer: 3, -7, -59930583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let x(h) = 379597*h**2. What is o(x(u))?\nAnswer: -759194*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, -4, -167, -2\/3, -166?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v = 1. Let y = -0.08044 + 6.08044. What is the closest to y in 2\/9, v, -5, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59057*j - 27159*j - 31901*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. Let p(l) = 3 - 1 + l - s + 3. Let u be p(1). Does 1\/8 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34535 (base 8) to base 15.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1853 + 1850.05. Are r and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76067 + -1139947\/15. Let w = -316\/5 + k. Factor w*b**3 + 6*b - 4\/3 - 2*b**4 - 10*b**2.\nAnswer: -2*(b - 1)**3*(3*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1.4, -0.082, 1, 1\/1308?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108 + -0.045. Let c = 0.06165 - i. What is c rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 73*w + 44. Let k(z) = -18*z - 11. Let r(v) = 9*k(v) + 2*o(v). Let x be r(-9). Suppose -2*p - 76 = -6*p. What is the highest common factor of p and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, g: 2, u: 4, d: 1}. What is prob of sequence ugus?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751.5907ns in hours?\nAnswer: 0.00000000076433075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3189, -6586, -9983, -13380, -16777?\n\"Answer: -3397*a + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**5 - 7011892*w**4 - 1536564095256*w**3 - 46858787490816*w**2 - 23045253598080*w = 0 for w.\nAnswer: -438228, -30, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(-164))\/((-6)\/(-516))*2*-2.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*b + 102, -8*b + 4*m + 104 = -4*b. Let o = b - 15. Let d = o + 1. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -2*i + 3*n, i = 4*i - 2*n - 388. Suppose -j = 2*j - i. What is the highest common divisor of 63 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - -396. List the prime factors of w.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9934 + 278055\/28. Calculate the common denominator of k and 3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 15*o + 4. Calculate the common denominator of q(-1) and (-3)\/10*1660\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642241644*c**3*q**3 - 11728*c**2*q**3 + 4*c**2*q**2 + 22*c - q**3 + q wrt c?\nAnswer: 3853449864*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*21\/(-105)*-6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1077005464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 110 - 32 = -34 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -188026 less than -188027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1050*y + 60891. What is l(-58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 18*l**2 + 5*l + 20. What is the tens digit of t(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*q + 48, x - q - 11 = 3 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -72272816?\nAnswer: 1\/18068204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1362, 5263, 11810, 21039, 32986, 47687, 65178, 85495?\n\"Answer: 6*s**3 + 1287*s**2 - 2*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756248513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31175 rounded to 3 decimal places?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let u(q) = -q + 5 + 3*q - 3*q. Let x(h) = h - 4. Let n(i) = -4*u(i) - 5*x(i). Calculate s(n(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*a - 9, 0 = 4*u + 3*a - 7082 + 7098 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532333655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, t: 3}. What is prob of sequence hthh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**3 - b**2 - b**2 + 7*b**2 - 7*b**3 + 6 - 3. Let f be (-4)\/8 + 10\/(-4). Let y(i) = -9*i**3 - 9*i**2 - 5. Let l = 7 - 12. Give f*y(s) + l*o(s).\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 2 - 2)*(-p + 1565 + 0*p - 1616) to the form x*p**2 + s + w*p**3 + u*p**4 + g*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 932664.8 years?\nAnswer: 93266.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 - 14 - 10 - 20*j**4 with respect to j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 - sqrt(108))**2*1*4 + 2*(0 + sqrt(3) + 0 - sqrt(3))**2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46521 = -3*h + 3*o, 7*o = -3*h + 12*o + 46535. Is 62 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 6*u - 9*u + (0 + 5 - 3)*(21*u - 34*u - 30*u).\nAnswer: -97*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4804962?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11867*u**2 + 6*u - 6. Let z be y(1). Suppose 3*m + 7127 = -q - z, -q + 4*m - 19008 = 0. Round q to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/13 + 45826*m**2\/13 - 21156*m = 0.\nAnswer: -22919, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 88 = 4*s. Let q be 263 - (2 - 3) - s. Are 272 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381164783 to the power of 1\/2, to the nearest integer?\nAnswer: 37164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97994 is divided by 24321.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 - 989 = -3*j. Let r = -5 + j. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w**3 + 5*w - 7. Let i be s(-9). Suppose 3859 = -6*p - i. What is p rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*i + 3 = 21, -3*q + 3*i - 21 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 q, and 1 l when four letters picked without replacement from {u: 4, q: 7, l: 4}?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168 * 0.5.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 899279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 0.4, -0.2, 105.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 767*p**2 - 496*p**2 + 3*p**4 + 3*p**4 + 3*p**4 - 7*p**4 + (-1 + 1 + 2*p)*(-6*p**3 + 3*p**3 + 2*p**3) - p + p - 2*p**4 - 2*p**4 - 4*p + 4*p.\nAnswer: -3*p**4 + 271*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6058 - -507. Suppose -5*u + b + 3840 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 4*h - 4 + 0*h**3 - 2 + 3 - h**3. Let f be i(-3). Let s = 16 + f. What is the highest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 6. Let l(u) = u**2 - 6*u + 4. Let m be l(3). Let d be k(m). Let r be (-3 - -2)\/(d\/(-2)). Solve -3*h = -3*n + 4*n + 10, r*h - 16 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 192960120?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 1 + 82*k + 0 - 84*k + 66*k**3. Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, 1\/6, 4, -4, 0 in decreasing order.\nAnswer: 4, 1\/6, 0, -4, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -886890 or -886905?\nAnswer: -886905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527054?\nAnswer: 2, 11, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*j - 36 = 0, 6 = -55*b + 57*b + 4*j. Are b and 26\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46734 - -66673. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -10988620.\nAnswer: -1\/10988620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:31 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**3 + 291330*l**2 - 848440284*l - 1698046088.\nAnswer: -(l + 2)*(5*l - 29138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 485*s**3 + 255*s**2 - 2*s.\nAnswer: 2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2260376*c. Let r(w) = -12*w. Determine u(r(o)).\nAnswer: -27124512*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/5 or 4?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 32 + 7*p**3 - 36 + 5 + 3*p + (-p + 4 - 4)*(-1 + 1 + 2*p**2) in the form o*p + m*p**2 + b*p**3 + y and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -19565\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20468\/(-21930)*(6\/(-5))\/(14\/(-10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/90 + a**4\/18 + a**3\/9 + a**2\/9 - 4*a + 8. Solve q(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/9 - 26*z**3\/9 - 88*z**2\/9 + 26*z\/9 + 29\/3 = 0.\nAnswer: -3, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 639*n**3 + 944*n**2 - 9*n. Let a(m) = -319*m**3 - 472*m**2 + 4*m. Let w(d) = 9*a(d) + 4*x(d). What is the third derivative of w(u) wrt u?\nAnswer: -1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2046972 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 0.52. Which is the third smallest value? (a) 1\/6 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*s*w**4 + j**2*w**2 - 7*j**2*w - 10569*j*s*w**4 + 19*j*s*w - 7*j*w**2 + s*w**2 wrt w?\nAnswer: 24*j**2*s*w - 253656*j*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let c be f - 2 - 5 - -5. Suppose 5*q - 55 = 5*t, 39 = 2*q + c*q - 3*t. Solve -r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p + 108733 = 11493. Is 55 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7584 (b) 2 (c) -3 (d) 0.3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100120221 - 12?\nAnswer: 1100120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -107079*b - 963725. Determine k(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*j + 38*j = -89*j + 7290. What is the least common multiple of j and 213?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 29*g**9\/504 + g**6\/60 - 71*g**5\/60 + 111*g**2 + 3*g. What is the third derivative of m(l) wrt l?\nAnswer: 3480*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11841*48\nAnswer: -568368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/858 and 29\/918.\nAnswer: 131274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, z: 4}. Give prob of sequence zzz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -37*m - 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-2 - (7 - -131)) - -18\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 33*m + 5. Is a(16) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*i - 2*b*i**3*p + 2585*b*i**2 - 13*i**3*p + 866*i**2*p + 4*p wrt b.\nAnswer: -4*b*i - 2*i**3*p + 2585*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5717, -22849, -51397, -91355, -142717?\nAnswer: -205477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -5*y, l - 3*y - 1 = -5. Suppose 4*m - 2*m - l = 0. Solve 5*s = m*p + 26, 2*p + s - 2 = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 7704508*o + 15409012 = 0.\nAnswer: -7704506, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 4059060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 - 8*y + 4. Let z be h(8). Suppose -4*x + 35 = -4*g + 143, -g - z*x = -37. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 5, r: 6, g: 5}. Give prob of sequence sg.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*v + 138*v - 106*v - 12399546 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 - k - k + 4*k**3 + 6*k. Let x(c) = -c**3 - c + 1. Let p = 9 - 15. Let t(d) = p*x(d) - b(d). What is the second derivative of t(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-1\/3)\/y)*y)\/y)\/(y**(2\/3)*y))\/(y**(-1\/10)*y**(-2\/17))*(y**10\/(y*y**(1\/8)))**(-10) assuming y is positive.\nAnswer: y**(-90643\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u. Let o(z) be the second derivative of 4*z**3\/3 + 43*z + 1. What is o(t(x))?\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 1972.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + -116. Calculate the highest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 3, q: 1, m: 1, p: 4}. Give prob of sequence ffam.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4583084*p - 4583080*p + 97 = -5*l, p = -4*l - 27 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.97 - -0.97. Which is the biggest value? (a) -3 (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65776 is divided by 1934?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4 - 9) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w + 2*f + 12 = -51*w, 0 = -4*w - 9*f - 69. Solve -164*p = -167*p - a - 7, w*a = p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 70668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1132457966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 - n**2 - 8*n + 12 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 483491.6ml?\nAnswer: 483.4916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**3*y)\/(y**(-3\/7)\/y*y)*(y\/y**5)\/y*y\/(y\/(y\/(y**2\/y))))\/((y**(-3)*y)\/y**(-1\/8)*y**1\/y**(-6)) assuming y is positive.\nAnswer: y**(-487\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrhhgghgg. Give prob of sequence hr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-2\/5)*r)\/r))**20)**30*((r**0\/r)\/r*r)**(-14)*((r**(-1)*r)\/r)**19 assuming r is positive.\nAnswer: r**835","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 + -150. Factor -100*p**4 + 8*p**3 - 6 + x + 104*p**4 - 8*p - 3.\nAnswer: 4*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5580 = 53*j. Solve -10*s = 123 - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1224 + 1?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 683?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + u - 1. Let o be 1 - (-1 - -5) - -7. Let d(p) be the third derivative of p**5\/20 - p**4\/24 + p**3\/6 - 3*p**2. Determine o*d(c) + 5*v(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 476 = 20*t + t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 5*k + 1, 2*k + 6 = 2*t. Suppose -3*n - n + t = 0. Sort n, 2, -1 in increasing order.\nAnswer: -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011 + -101111?\nAnswer: -111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.6949 to the nearest ten.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0264507 millennia in months?\nAnswer: 317.4084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 420*k**2 + 561541*k + 1337.\nAnswer: (k + 1337)*(420*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/4, 3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9621, 41152, 94593, 169944, 267205, 386376?\n\"Answer: 10955*w**2 - 1334*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10586*y**2 - 61*y**3 - 22509*y**2 + 11923*y**2.\nAnswer: -61*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1058 divided by -295\nAnswer: 1058\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 11*f - 7. Let u be (-15)\/10 - (-57)\/(-6). Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 2403*z**2 - 2403*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/1 - ((-4)\/(-2) - -3). Let z(m) = -m**2 - 8*m. Let b(f) = 2*f**2 + 16*f. Let n(q) = k*b(q) + 15*z(q). Solve n(y) = 0 for y.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/54 - (82 - (-40788)\/(-486)). Factor 0 + 1\/5*j**r + 2\/5*j.\nAnswer: j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {v: 7, t: 1, w: 1, x: 4, g: 1, b: 5}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33.452 in 0.77, 1\/8, -0.5, -2\/19, 1\/4?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(1210\/88)*(-22)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryw when three letters picked without replacement from {r: 3, y: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9703.\nAnswer: 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:54 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 39. Let b be (0 - (x - 3)) + 4. Suppose -c - 1 = 0, -2 - b = 2*v + 2*c. Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/46*12\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 97.\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75428*a - 30851 wrt a?\nAnswer: -75428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 - r - 2. Let h be (-6)\/(-8) + 9\/4. Let t be k(h). Solve t*f + c - 12 = 5, 0 = -3*f - c + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 5. What is d(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s + 945 = 45*s. Let i = -186 - s. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y + 126. Let z = -254 - -248. Let k be n(z). What is the greatest common factor of 270 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103.99592076 - 0.\nAnswer: -103.99592076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 38 = -3*l + v, -2*l + 2*v - 28 = 0. Let i be 0\/(-5) - l\/30. Let z(s) = -s + 7. Let h be z(5). Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p**3 - p**2 + p - 1. Let s be m(5). Suppose 5*z - s = -g, -4*z + 1216 = g - 143. List the prime factors of g.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*6*8\/(-84)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -40.1. Let b = -3.94 - 0.06. Sort -0.1, -2, b, a in descending order.\nAnswer: a, -0.1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*344.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 48 + 24. Let c(f) = 2*f - 22. Let y be c(15). Suppose 348 = -l*d + y*d. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*b - 3*b - 132 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {x: 1, y: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9\/d)\/d**(-5\/7)*(d\/(d**3\/d))\/d*d**8\/d)**(-1\/4) assuming d is positive.\nAnswer: d**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36309443?\nAnswer: 36309443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - (-28)\/12. Suppose -3*a - 78 = -4*v - 89, 2*v + 22 = -4*a. Sort v, u, 1.\nAnswer: v, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 11) to base 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-2\/63)*a))\/a)\/a**1)\/((a*a\/(a\/(a\/(a*a\/(a*a\/((a**(-23)\/a)\/a))*a*a))))\/(a*a*a**(-4))) assuming a is positive.\nAnswer: a**(-1888\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**2 - 7. Let g(b) = -891*b + 30. Let r(l) = -475*l + 16. Let t(q) = -8*g(q) + 15*r(q). Give t(f(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.215 + 5.2149982164. What is i rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204981 is divided by 2211.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z - l = 51*z - 12, 6*z - 130*l = -125*l + 36 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l. Suppose l = -h, -3*f - 5*h = -f - 36. What is the remainder when 1 + (1 - 2) + 52 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45412 >= 45412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 1827*h**3 - 908*h**3 - 921*h**3.\nAnswer: -2*h**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(19\/(114\/120)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 8}. Give prob of sequence cecc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 256*g - 254*g + 3, -z = -5*g - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, e: 2}. Give prob of picking 2 z and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, x: 1}. What is prob of sequence nxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7302?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5516 = -311*g - 83*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/15*(-6)\/(-4). Let k = 29 - z. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2566 divided by -1772?\nAnswer: 1283\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/36 and ((-1)\/6)\/(51\/(-540) - 16\/288).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 51*t + 15 - 45 + 21. Let y be k(2). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 43794*l + 108208491 = 0. What is l?\nAnswer: 3151, 11447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-30) - 4\/6. Suppose -12*p - 4 = -16. What is the nearest to p in -5\/3, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32726 (base 13) to base 15\nAnswer: -1c0b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 813860.\nAnswer: 3\/813860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 78 = -20*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/81742 or 0?\nAnswer: -41\/81742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 - -2072\/9. Which is the nearest to -1\/2? (a) n (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 4*a**2 - 1561158*a + 1561158*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + 206. Suppose -201 - 109 = -5*i - h*v, -4*i + 2*v = -278. What is the remainder when i is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*y = -3, 3*y - 65 = 2*a - 71 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(-3*o - 3*o + 3*o) + o + 2*o - o in the form j + f*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u**2 - u - 1. Let m(s) = 59*s**2 + 2*s - 14. What is 2*j(l) - m(l)?\nAnswer: -33*l**2 - 4*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**6\/120 - l**5\/12 + l**4\/24 + l**3\/2 + 39*l**2\/2 + 51. Let m(c) be the second derivative of g(c). Calculate m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*p - 576 = -8*p, -3*p - 9 = 0. Let r = s + 201. Which is the second biggest value? (a) r (b) 1\/14 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hmhmh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 4:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/13, 902, 32, -1, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-154))\/(1\/(-11)). Solve 5*y - 2*p - 15 = 0, -l*y + 2 = -5*p - 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 1 - 24 + 18*h - 11*h**2 - 6*h. Let f be p(10). What is the nearest to -1 in f, 13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3727518724 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270658 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*r - 70, 2*r + 8363*l + 10 = 8362*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 101.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 3. Let k be 2 + 2 - (0 - (5 - 13)). Let h(x) = -9*x + 4. Give k*h(y) + 5*z(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4489350607.\nAnswer: 7, 911, 703991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40213?\nAnswer: 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212436 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 232.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/92 and (-7)\/2*(-90)\/60.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1719.30025 - -1721. Let i = -1.5 - 0.2. Let d = i + t. What is d rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5 - 15*c**4 + 12*c**3 + 48*c**2 - 96*c + 48 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 14060*h**3 - 6500483*h**2 - 13043142*h - 6528600 = 0. Calculate h.\nAnswer: -14508, -1, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*t - 984 + 984)*(6*t - 43*t**3 - 6*t).\nAnswer: -989*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1928954*g**5 - 28*g**3 + 225195244*g**2?\nAnswer: 115737240*g**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 810\/29 + 3086\/44747?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430201 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.997866182 rounded to four dps?\nAnswer: -1.9979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 671904.817 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 535679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (77\/(-28))\/11*-372. Let y = l + -52. Calculate the greatest common factor of 123 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4681.6 + 4682. What is the closest to 1498 in 5\/4, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 5*(-6*sqrt(6)\/sqrt(3) + (sqrt(2) - (sqrt(40)\/sqrt(5))\/sqrt(4))))**2.\nAnswer: 240*sqrt(2) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5964, -5843, -5726, -5613?\nAnswer: -5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 5, -60 in ascending order.\nAnswer: -60, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = 5*m + 89*y + 84*y - 136*y, 0 = 2*m + 2*y - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244079, -244079, -244077, -244073, -244067, -244059?\nAnswer: -244049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = 5*g, 6*o + 69 = -0*o - 3*g. Let h be o\/(-42) - 24\/(-9). Let -2\/9*f**h + 2\/9*f + 2\/9*f**2 + 0 - 2\/9*f**4 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*28\/6. Let s = 1180 - 1174. Suppose s*n + k*n - 1391 = 0. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 + 2*g + 3. Give r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 7*y + (-1 + 3 - 1)*(0 + 3*y + 0) + (3*y + 2*y - 3*y)*(-3 - 2 + 0) + 4*y - 2*y - 4*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522765021, -522765022, -522765023, -522765024?\nAnswer: -522765025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -3335549.\nAnswer: -3335547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*g = 18, 38*o - g = 43*o - 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -0*f. Suppose f*h - 36 = v, 2*v - 33 = -4*h + 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 60*t - 7. Let o(v) = -176*v + 26. Give 2*o(k) + 7*z(k).\nAnswer: 68*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 61*n + 12. Let i(h) = -321*h - 63. Let g(j) = 4*i(j) + 21*w(j). Let c(r) = -4*r**2 - 17*r**2 - 44*r**2. Determine g(c(q)).\nAnswer: 195*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -11*w + 28813 + 172012. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j. Let h(t) = -150*t**2 + t - 193993. What is h(g(l))?\nAnswer: -12150*l**2 - 9*l - 193993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -4, 1.2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*z - 5904 + 9765 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11638ab (base 14) to base 8.\nAnswer: 37542137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2 + 11*k**2 + 3 + 21 - 48*k + k**3 + 0*k**2 - 14*k**2. Let u be j(-10). Which is the biggest value? (a) u (b) -9 (c) 2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165905 - -164960.59. What is k rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3091, -6672, -10717, -15220, -20175?\nAnswer: -25576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 - 5*l**2 - 4*l. Suppose -4*u + 5*u - i + 5 = 0, -2*u + 3*i - 14 = 0. Let z be v(u). Solve 4*k = -z - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14496346.77 to the nearest ten thousand.\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1983957*k**4 - 2065142*k**2 wrt k?\nAnswer: -47614968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.1126736 and 2.\nAnswer: -24.2253472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*g**2 + 2*g - 2*g - 677*g**2 + 1352*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-45)*6\/(108\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -13. Suppose -16 = 3*l - f. Suppose 0 = -l*v - 4*p + 1313, 4*v - 80 = p + 983. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 5. Let w be q(-7). Let k = -98 + 103. Suppose -z - 2 = k*i, -6*i - 2 = -8*i. Sort z, -5, w in ascending order.\nAnswer: z, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 22 = -398*c + 402*c, 5*x + 42 = -2*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (144\/(-42))\/((-2)\/14). What is the common denominator of 20\/u*388\/20 and -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*w, -2*p - 11*w = -16*w - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343812 by 114604.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4068*b + 60725. Determine f(15).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((-96)\/9)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/26 and -57\/88?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/((-8)\/(-120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - z + 7. Let y(f) be the first derivative of f**4\/2 - f**2\/2 + 6*f - 47. Calculate -4*s(r) + 5*y(r).\nAnswer: 2*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4629, -24, 1, -5, -3, -4 in descending order.\nAnswer: 1, -3, -4, -5, -24, -4629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = 0, 2*c = 5*v - 13 + 12. Let k be v*6\/(-6)*7. Which is greater: 1.5 or k?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 - 3*y + 2. Let m be i(-6). Solve -s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 0, 3*p - 11*k = -6*k - 847. Let m = 291 + p. Is -7 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256\/229, -1, -145, 0.4.\nAnswer: -145, -256\/229, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40338 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11340581601472.61 and 0.5.\nAnswer: -11340581601472.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 20488068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**3\/3 - 3*d**2\/2 - 9*d + 21. Let l(o) = -1. Let b(k) = -5. Let f(x) = b(x) - 6*l(x). Determine 4*f(g) + y(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.54 and -2.5.\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:22 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 2, a: 4, k: 2}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 - 2 = 0. Let o(m) = -5*m - 1 + 8*m**2 + 11*m - 5*m. What are the prime factors of o(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(2\/21)\/r)*r*r*r\/r**0*r*r*r*r)\/((r\/r**6)\/r**(2\/5)))\/((r**(-3)\/(r\/r**(-1\/4)))\/(r\/(r\/r**2))**24) assuming r is positive.\nAnswer: r**(28373\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6232\/2337)\/(7*10\/35)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80592 and 168?\nAnswer: 564144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Calculate the remainder when 9 + u\/4*-6 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.49396 weeks to minutes.\nAnswer: 85619.1168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bd9ce (base 15) to base 3.\nAnswer: -10222210110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 86. Let a be d - (2 - -2 - 5\/1). Suppose 4*x - 7892 = -n, -2*n + 5919 = a*x - 5*n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -19d?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 21877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67242193.\nAnswer: 31, 79, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 37 - 72 = 0. Suppose -f = -l*p + 1783 + 5466, p + 4*f = 1433. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + u**2 - 5*u + 5. Let m be 4 - (1 + -2 + 1). Let r(v) = v**3 + v**2 - 4*v + 4. Determine m*l(n) - 5*r(n).\nAnswer: 3*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -25 + (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 531.089 - 10.53\nAnswer: 520.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/70 and 53\/707483.\nAnswer: 7074830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, w: 1, m: 5, o: 7}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 167000597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4353, 8587, 12821?\nAnswer: 17055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10 and 107\/229420.\nAnswer: 229420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 259950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*21\/(-6))\/(1\/(-3)). List the prime factors of 371 + 36\/s + (-2)\/(-7).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1882 + -9.06. Let h = -0.1280869 + u. What is h rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*t - 3. Let i(d) = -4*d - 2. What is the least common multiple of t and i(-5)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228424948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - n + 118 = 0, -3*j + 2*n - 2379 = -2455 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-29 + 26 + -3 + -9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700801 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01201*1.\nAnswer: 0.01201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.8227904 rounded to 1 dp?\nAnswer: -124.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5949750 to the nearest 10000.\nAnswer: -5950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.029*-69.0362\nAnswer: 2.0020498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0 (c) 116 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43697700 divided by 582636?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(39)\/(sqrt(147) + sqrt(3)) + -4)*-5.\nAnswer: -5*sqrt(13)\/8 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:47 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*b - 16, -27*v + 2*b = -26*v - 8. Solve 38*o - 36*o = 3*h, v = 4*o - 2*h - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-5)\/9)*1. Suppose -p = -g + 3. Suppose 0 = t - 3*t + 44. Calculate the remainder when t is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504163 and 3483308.\nAnswer: 38316388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26420, 26206, 25992, 25778, 25564?\nAnswer: 25350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179171 is divided by 35804.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaiaanntnanc. Give prob of sequence ti.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917 divided by 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and -96.\nAnswer: -96.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 2. Let w(t) = 5 - 1 + 1 + 9*t. Let b(u) = -5*k(u) - 2*w(u). Let c(x) = -10*x. Calculate b(c(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13313 plus -729?\nAnswer: -14042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 30073, 3, -4 in increasing order.\nAnswer: -4, -3, -1, 3, 30073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4.1, -3, -4, -1\/17, 0.4, 14?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (15\/35 - -2). Suppose 0*z = v - 3*z - 27, -v - 5 = 5*z. Suppose -21*m + 36*m = v. What is the closest to m in 4, -2\/17, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -249*h**2 + 10*h + 2. Let i(n) = 499*n**2 - 16*n - 3. Determine -3*i(y) - 5*z(y).\nAnswer: -252*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12035.\nAnswer: 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -7 + 11 + -6 - -10) + 4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270.4 + -270.4008415. Round w to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/13932 and 25\/459756.\nAnswer: 459756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 4:41 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 51 - 2*j - 120 - 20 - 75. Let w(f) = 2*f**2. What is w(c(l))?\nAnswer: 8*l**2 + 1328*l + 55112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(3*2*sqrt(160) - sqrt(160) - sqrt(160))\/sqrt(5)*-3)**2.\nAnswer: 115199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/17? (a) -0.7 (b) -1 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 16*d**2 - 4*d + 64. What are the prime factors of f(-18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkkjkkkkjkkjj. Give prob of sequence jkk.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, c: 1, o: 2, y: 1, k: 1}. Give prob of picking 2 v and 1 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 15 = 3*p + 37, -12 = -2*m - 2*p. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - x - 6. Let f be v(-8). Let z be f + 3 - (-1 + 3). Suppose -4*k + 3 = -2*k + u, 2*k - 2*u = 0. Solve k = -z*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -282*d - 637. What is the units digit of a(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ayaya?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/66 + 1360\/440. Factor 5\/3*v**4 + 5*v**y + 0*v + 0 + 10\/3*v**2.\nAnswer: 5*v**2*(v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/1712 - 74439\/18832. Let k = 88 + -122. Find the common denominator of n and (-13)\/(234\/21)*k\/12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1743*p + 578*p + 578*p - 193 + 515*p)*(-4 + 4 + 5*p**2 + (2*p + 2 - 2)*(-p + 4*p - 2*p)) in the form n*p + z*p**3 + q*p**2 + o and give z.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 + 4*q - 1. Let g be o(-3). Let a be ((55\/(-2))\/1)\/(19\/(-38)). Let t = a - 47. Solve t = g*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1329*a**6 + 50*a**3 + 158867*a**2.\nAnswer: -159480*a**3 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-55)*72\/27*90\/120.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(-3*y + 2*y - y)*(-59 + 226 + 114)*(-3*y + y + 3*y) to the form s + v*y**2 + k*y and give v.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h = 38 - 4. Calculate the remainder when 0 + (-2 - -2) + 39 is divided by -6*(h\/(-5))\/(14\/245).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 - 9*b**2 - 19*b - 29. Let k be p(11). Let f = k + -823. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85626.\nAnswer: 2, 3, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 538*j + 75. Let h be c(1). Let n = h - -1950. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjfjfj. Give prob of sequence ffj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13822519*g*t**3 + 8*g - 9967*t**2 wrt t.\nAnswer: -82935114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/975581494 and -97\/8.\nAnswer: 3902325976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3505\/6, 0.1, -2, -2\/177?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74.37 - 76.37. Which is the third smallest value? (a) i (b) 0.011 (c) -0.4 (d) -1\/8 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)\/(1\/6). Let f = t - -5. Let u(i) = i. Determine u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2262 - -2260. Sort 2\/9, -2\/17, t in decreasing order.\nAnswer: 2\/9, -2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97.226 + 0.226. Let p = k - -93. Which is the second biggest value? (a) -0.4 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvnkvjngzzzjnznnjvg. What is prob of picking 1 v and 1 j?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 4*p**2 + 7*p + 3. Let z be m(-5). Find the common denominator of (z\/15)\/((-8)\/6) and (-10)\/4 + 1 + 410\/(-80).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**14)**(-35) assuming t is positive.\nAnswer: t**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 6. Let d be 3 + (-10)\/4 - (-156)\/8. Suppose 19*m = 14*m + d. Let c(f) = 4*f - 7*f + 17 + f + m*f. What is -3*c(y) - 8*j(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -15 - -1 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -104779 in decreasing order.\nAnswer: 8, -4, -104779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-252) + 32\/(-70))*10. Let i be -10 + 10 + 30\/a. Let z(d) = d**3 + 4*d**2 - 5*d - 5. Calculate z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v - 74. Give y(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5528883*y**2 - y - y + 5528675*y**2 + 2*y.\nAnswer: -208*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -1\/4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 + 1. Let b(i) = i**2 - 4. Let a be b(-3). Let u(p) = a - p - 5. Determine x(u(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -1847, -2778, -3711?\nAnswer: -4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -5d7ba?\nAnswer: -5d7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 - 1. Let d(k) be the first derivative of 2*k**3\/3 + 1. What is d(o(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 + -30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 581*l**2\/3 - 256957*l\/3 + 256375\/3.\nAnswer: (l - 293)*(l - 1)*(l + 875)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -68*b**2 - 24. Let z(l) = -206*l**2 - 66. Let s(c) = -11*d(c) + 4*z(c). Calculate s(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 2*f - 4*f + (-3*f + f - 3*f)*((6 - 2 - 3)*(2 - 1 - 3) - 13 + 8 - 10) to the form q*f + a and give q.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 36481*g**3 + 232972250*g**2 + 29273568*g + 919584 = 0.\nAnswer: -6386, -12\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71418 divided by -6?\nAnswer: -11903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:20 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 10 - w**3 + 10 + 2*w as x*w**2 + m + g*w**3 + f*w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Suppose i*z - 6 = 0, 0 = 2*q + 2*q + 4*z - 16. Suppose 0*c - 340 = -q*c. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, m: 14}. What is prob of sequence mhhm?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -278 + 190. Let i = -82.9 - b. Let s = -5 + i. What is the smallest value in -2, 0, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(1\/21). Let d be 16\/7 - (-4)\/o. Suppose 0 = d*k + k - 18. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124482 or -124598?\nAnswer: -124482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t + 2*t. Suppose -i + 3*i = -2*u - 4, 25 = -t*u - 2*i. Let d be (1 - 1) + (-5 - u). Let f(m) = m**3 - 2*m**2 + 4*m - 2. Give f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 2\/21 (c) -0.01 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from fejfpjffffepj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11757933 by 3.\nAnswer: 3919311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11934, -11938, -11944, -11952, -11962?\nAnswer: -11974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.7 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523052892.\nAnswer: 2, 380763223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + 0 + (5 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*m + 2)*(19 + 40 - 213)*(m**2 - 5*m**2 + 0*m**2).\nAnswer: -3080*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -659, -637, -595, -527, -427?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10670 and 385.\nAnswer: 74690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -122aa (base 12) to base 11\nAnswer: -17543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373371.9750049 + 373372. Let f = q - 0.025. Round f to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - 5 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/4251170 and 11\/110420?\nAnswer: 8502340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1116)\/126)\/((-456)\/(-133)*1\/3).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, c: 2, o: 2, k: 1}. What is prob of sequence coom?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86 and 62.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 + 93 + 84 - (3 + 3 - (-3 + 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) 4 (c) 0.2 (d) 0 (e) 2\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.1 and 1.8.\nAnswer: -36.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-12)\/120*(-15)\/18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/24 + 17*i**5\/12 + 10*i**4\/3 + 87*i**2 - 2*i + 5. Factor a(k).\nAnswer: 5*k*(k + 1)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582028519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1764650, 3529531, 5294414, 7059299?\nAnswer: 8824186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, w: 4, z: 2}. What is prob of sequence zwwm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-20)*(-130)\/(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let f be (-8)\/(-20) - 8\/20. Suppose 3*k + f*k + 7 = -4*l, 2*l - 19 = 3*k. Which is the closest to 0? (a) k (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 9) to base 15\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:24 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 48*t + 43*t - 11343, 4*o - t - 15124 = 0. What is the greatest common factor of o and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**12)\/g)\/g)\/g**6)**(-2\/41) assuming g is positive.\nAnswer: g**(-12\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.1 + -58.1. Which is the closest to 0? (a) -0.1 (b) 4 (c) l (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + 2 + 24 + -31\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 124. Let w be z(31). Let b(v) be the third derivative of -1\/105*v**7 + 1\/15*v**5 + 5*v**2 + 0*v + w*v**4 + 0*v**6 - 1\/3*v**3 + 0. Factor b(k).\nAnswer: -2*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200440 (base 7) to base 11.\nAnswer: -23472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 24 - 8)*(2*t - 5*t + t)*(-2 - 1 + 2) to f*t + r and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*c*d**2 - 43467*c - 2*d**4 - d**3 + 28*d wrt d?\nAnswer: 54*c*d - 8*d**3 - 3*d**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**5\/5 - 2189*w**4\/4 - 3*w**2\/2 - 426*w - 5732. Find the second derivative of s(q) wrt q.\nAnswer: 24*q**2 - 13134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/527? (a) 0 (b) 1 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*f - 1086*f - 368000 = 1694*f + 568*f for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202720, 202731, 202742, 202753, 202764, 202775?\nAnswer: 202786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (5 - 217\/28))*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 28.48. Let s = c - -0.08. Are -1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -4*s - 2*m + 73, 2*m + 151 = -33*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**3 + 0*t**4 - 41*t**2 + 199*t + 59\/10*t**5 + 0. What is the derivative of q(r) wrt r?\nAnswer: 354*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/(-6))\/(22\/(-33)). Find the first derivative of -2*d - o + 7*d - 23 wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/(1\/(-3)). Let u = d - -3. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + (-27)\/(-8). Let j = 3.04 + -0.04. Let l = 3.2 - j. What is the smallest value in k, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118294 and 29678?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**2 - 1\/18*f**4 - 1\/63*f**7 + 0*f**3 - 1 + 1\/30*f**5 + 1\/45*f**6 - 2*f. Determine g so that n(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let w(l) = -27*l**2. Give w(k(r)).\nAnswer: -243*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1779 and -0.1619.\nAnswer: 288.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154 + 7212?\nAnswer: 6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.968 - -0.032. Let d = -1 + 0.6. What is the third biggest value in d, -0.1, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/30880 and -139\/192?\nAnswer: 185280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897, -3659, -5421, -7183, -8945?\nAnswer: -10707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333431 (base 9) to base 4.\nAnswer: 2302122322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.68, 0.2, -3, 0, 11.3 in decreasing order.\nAnswer: 11.3, 0.2, 0, -0.68, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 3*c + c)*(-15*c**2 - 10*c**2 + 19*c**2) in the form y*c**2 + i*c + x + f*c**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*c - 6. What is the lowest common multiple of c and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3. Let v(x) = -5*x**2 - 8*x + 32. Let c(y) = -5*m(y) - v(y). List the prime factors of c(-5).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(84) + -2*sqrt(84)) - sqrt(84)) + sqrt(84) + sqrt(84) + (sqrt(84) - 3*(sqrt(84) + sqrt(84)*1)))\/(1*(1*sqrt(192) + sqrt(192))).\nAnswer: -9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/16 or 1\/3?\nAnswer: 37\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*h + 1501 - 1626, h + 5*a + 149 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 1843715.1114?\nAnswer: 1843718.1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02862123 to four decimal places.\nAnswer: 1.0286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 29 - 33. Suppose 0 = -2*q + o + 9. Solve b - 5*b = 5*z - q, 0 = -4*z + 3*b + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -639, -2, 19, 16397 in increasing order.\nAnswer: -639, -2, 19, 16397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 482*p**2 + 320*p - 650. What is q(2)?\nAnswer: 1918","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2 - 7*f - 1\/3*f**3 - 4*f**2. Let j be 74\/(-925) + 173*(-12)\/300. Give b(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 36 - 24. Solve p + 3*g + j = 0, -2*g = 4*p + 2*g + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.4 rounded to zero decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 - 12082\nAnswer: -12080.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3569 - 3557. Solve -2*x + 3*x + 28 = 5*l, 0 = -x - 3*l + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 367620 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 98*k + 96 = 0 for k.\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 - -270.938. Let o = n + -0.138. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 20. Let m = d + -1. Suppose 4*p - 17 = 5*o, -3*o + 1 = 2*p + 2*o. What is the greatest common divisor of p and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3*4\/(-4). Suppose -4*u = 8*k - 3*k - 20, -u - 3*k + 12 = 0. Differentiate -4*i**4 - 2*i**4 + u*i**4 - b wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52\/3*g + 4*g**3 - 2*g**2 + 16 - 2\/3*g**4 = 0. What is g?\nAnswer: -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 + 5*f**2 + 441*f + 8. Let z(s) = -s**3 + 2*s**2 + 220*s + 3. Give 2*y(m) - 5*z(m).\nAnswer: -m**3 - 218*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2803815 and -41\/1886625?\nAnswer: 911239875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(18) + -6*2*sqrt(18) + sqrt(1152)*2))\/(5*sqrt(42)\/sqrt(7) - 5*(sqrt(6) - (sqrt(6) + 3*sqrt(6)))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 15. Let q(p) = -1. Let n(v) = -i(v) + 4*q(v). Let z be (-68)\/(-7) + (-24)\/(-84). Let r be n(z). Let w(y) = 5*y - 1. Give w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - g - 1. Let m be q(-1). Let l(a) be the first derivative of 2*a + 0*a**m - 1\/2*a**3 + 1 - 1\/8*a**4. Determine p so that l(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952470.\nAnswer: 2, 5, 13, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z - 43*z = 6*z - 448. Let g(i) be the second derivative of 3\/2*i**5 + 54*i**2 - 26*i + 13\/4*i**z - 30*i**3 + 1\/10*i**6 + 0. Let g(l) = 0. What is l?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38794?\nAnswer: 2, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/62 + -311\/1302. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2016453 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 554011, 1107982, 1661953, 2215924, 2769895, 3323866?\n\"Answer: 553971*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -72287 - 140376. Let f = 112663 + a. What is f rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 10*z - 171 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 3027 = -8*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**2 - 876032*m - 2628060 = 0?\nAnswer: -219005, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 16. Let d = 6 - l. Suppose z + d*f + 23 = 4*z, 4*z = 3*f + 19. Solve -z - 9 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p - 42 = 0, 0 = -5*l - 0*p + 4*p - 98. Let r be 42\/(-16) + l\/48. What is the nearest to 1 in -2\/5, r, -18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4*2\/3)\/((-24)\/108) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1492 or -1495?\nAnswer: -1495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/36 + 2*q**2\/3 + 6*q. Let m(p) = 0. What is p?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 18 + 35 - 8 - 73*r**2 in the form c*r + h + y*r**2 and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - o + 7, 2*c + 10 = 4*o - 0. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1441 and -8\/1179.\nAnswer: 12969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101764696*z**4 + 2*z - 91190680.\nAnswer: -1221176352*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 - 18*u - 16 = 0. What is u?\nAnswer: -2, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6 and -61\/1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345673 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -351497, -351590, -351851, -352364, -353213?\n\"Answer: -14*q**3 + 5*q - 351488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011111001 + -10101101001100?\nAnswer: -101011001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17438431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512601, 1025186, 1537757, 2050314, 2562857, 3075386?\nAnswer: 3587901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2440147 - 117?\nAnswer: 2440030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010101 (base 2) in base 9?\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 114 = -c, -4*c - b + 471 = 2*b. Is 30 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {m: 1, o: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -23886?\nAnswer: -1\/23886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -203 - 13*o + 203 as n*o + h and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 4*l - 4. Suppose -p = 3*h + 2, -2*p + 4*h = -4*p + 2. Let c(n) = n**2 - 7*n - 4. Let g be c(p). Give q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 34, 40, 34, 10, -38?\n\"Answer: -r**3 + 3*r**2 + 10*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.988219 to 3 dps.\nAnswer: -3.988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let t = l + -4.0000025. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 24 = 23*m. Let q = 8 - m. Suppose 3*y + 2*r - 1223 = 0, -1 = q*r - 3*r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 8209 + 8221 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 123776.\nAnswer: 12996480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1933, 1883, 1833, 1783, 1733?\n\"Answer: -50*z + 1983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + 13. Let s(c) = -5*c - 12. Calculate -6*i(h) - 7*s(h).\nAnswer: -h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 1\/3*l**3 + 13*l - 5*l**2 - 3. What is the units digit of s(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 2*k**3 + 72*k + 6 - 123*k - k**2 + 51*k in the form h*k**2 + f*k + b + c*k**4 + l*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7534, -7550, -7568, -7588?\nAnswer: -7610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11515\/8 or 1438?\nAnswer: 11515\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11322.8661 hours?\nAnswer: 67.3980125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -153. What is the smallest value in -3\/7, -0.2, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -0*w - 2*w. Suppose 70 + w = 5*z. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*g - 17 = 0, -39*g = 2*c - 34*g. Solve 4*u = 4*k, -2*u + 40 = -5*u - c*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + (-4)\/(2\/1). Suppose 5*f - g = -14 + 39, i = -2*g. Suppose b - 5*b - 4*z + 8 = 0, 5*b - 34 = 3*z. Is b equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1614 + -1612. Let p = -1\/61 + -117\/305. Let d = -527\/6 - -88. Which is the closest to -6? (a) p (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - o - 2 + 4*o + 12*o - 26*o - 14*o + (-6*o + 4*o + 4*o)*(2 + 2 - 2).\nAnswer: -21*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*b**4*z - b**4 + 3*b**3*z + 12*b*z + 14*b wrt b?\nAnswer: 300*b**2*z - 12*b**2 + 18*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 26*s**2 + 21*s - 36. Let t be y(-12). Solve -3*a - 5*h = 15, t = 2*a - 10*h + 9*h + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5429*m**3 + m**2 + 1 - m**2 + 374*m - 5430*m**3.\nAnswer: -m**3 + 374*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*n - 441*n - 12018 = -33942 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 281? (a) -3 (b) 109 (c) 0.5 (d) -4 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/2 + 9*r**4\/2 + 25*r**3\/2 + 27*r**2\/2 + 5*r = 0. What is r?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 + 465\/2. Let r(x) be the first derivative of 0*x + 4 + 0*x**4 - m*x**2 + 0*x**3 + 0*x**5 + x**6. Find the second derivative of r(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -63. Let j(q) = q**3 - 2*q**2 - 5*q + 8. Let s be j(2). Let h be s + (1071\/(-850))\/(6\/(-10)). Sort h, -11, c in ascending order.\nAnswer: -11, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803679703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 44. What is the units digit of s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6966, 27802, 62534, 111168, 173710, 250166, 340542?\nAnswer: 444844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:16 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + -12654?\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2686?\nAnswer: 8058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-56))\/((-16)\/28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 11*y - 11. Suppose 0 = 3*l + 47 - 8. Let c be k(l). Let r = 218 - 83. What is the greatest common divisor of c and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:00 PM?\nAnswer: 143","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 - 3\/8*n**5 + 0*n**4 + 0*n + 9\/8*n**3 + 3\/4*n**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - -376.8610434.\nAnswer: 376.8410434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Suppose z*d + 10 = 37. Suppose 27 = 3*s + d. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 0.311291\nAnswer: -0.4669365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c - 5. Let o be z(4). Suppose -11*r = -o*r + 20. Suppose d - 180 = -r*i, 4*i = 5 - 1. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 114802437*s\/2 + 4393199847046323\/4.\nAnswer: 3*(s - 38267479)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 11*w + 2. Let y be k(11). Let d be (175\/50)\/(0 + 2). Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23759, -47492, -71221, -94946, -118667?\n\"Answer: 2*z**2 - 23739*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -31 + (-81 - -84) - -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 16*d + 22. Let s be v(-15). Suppose -5*n - 233 = 3*h, -4*n - 9*h - 188 = -s*h. Let i = n - -59. Solve i - 20 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -2)*9\/(-6). Suppose 9 = 5*c - m. Let n(o) = -o**3 + o**2 - 3*o - 2 - 2*o**2 + 5*o**2 + c. What is n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2. Let j(n) = n**2 + 3*n. Let l(w) = 2*w**2 + 5*w. Let t = -3 + 6. Let c(g) = t*l(g) - 5*j(g). Determine h(c(f)).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-17)*g)**21)**(3\/22) assuming g is positive.\nAnswer: g**(-504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3168 = 50*y - 34268. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/2 + 32. Which is the closest to i? (a) 0.5 (b) -0.5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/75 or 911579?\nAnswer: 911579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1626480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 10158*k\/7 + 20324\/7.\nAnswer: -2*(k - 2)*(k + 5081)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679033 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/80 + (-4)\/(-10) - (-8646)\/(-18864). Let n be (-68)\/6 - 3\/(-9). Which is the nearest to n? (a) -3 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*n + 18 + 0 = 0, j + 4*n + 18 = 0. Let g(h) = h**3 + 3*h - 5. Let u be g(j). Differentiate -5*i - u*i - 11 + 5*i + 3*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*27\/(-36)*32\/(-12)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 12618027815.\nAnswer: -12618027814.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30542215*k**2 - 15*k**3 - 10*k**3 - 30542215*k**2.\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -9311.\nAnswer: -387\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -34, 1, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-14 + 12)) + (-115)\/67 and 8\/5.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2. Let d(z) be the first derivative of z**3\/3 + 6*z**2 - 284. Give c(d(u)).\nAnswer: -7*u**4 - 168*u**3 - 1008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 27 = 27. Suppose -5*w + 5*b = -r*w - 5820, -4*w + 4641 = -b. List the prime factors of w.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.064721 and -27.\nAnswer: -27.064721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 0.1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Let x be p(3). Let i = x + 6. Suppose 80 = 5*m + 5*s, -2*m + 6 = -2*s - i. Solve 0 = -4*h + 3 - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 444, 1015, 1586, 2157, 2728, 3299?\n\"Answer: 571*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*p + 250 = 929*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38840387.\nAnswer: 157, 247391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/87348 and 81\/10.\nAnswer: 436740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 4. Suppose -o - 1 = -3*p, -l*o + 3*p = -2 - 12. Solve -2*r = c - r + o, 3*r + 10 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -83, -87, -93, -101, -111?\n\"Answer: -f**2 + f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**23*n**14 assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 + 328*c**2 + 2792*c - 6880 = 0. What is c?\nAnswer: -10, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaoooo. What is prob of sequence aao?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*s = 4*q - 61*s - 12, 3*s = -q + 15. Suppose -d + 26 = -60. Is 6 a factor of q*d*(16\/(-12) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 16 - ((-227 - -146) + 62).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, b: 7}. What is prob of picking 2 j and 1 b?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*o + 19. Let n(h) = h**2 + 2*h - 6. Let q be n(4). Let z be q\/(-10) - (-1)\/(-5). Is o > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13*h - 9. Let j be 94\/(-10) + 6\/15 - 0. Let n(p) = 6*p + 4. Give j*n(r) - 4*m(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12862611?\nAnswer: 3, 359, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/27*24\/25)\/(6\/9).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78090 times -0.00935?\nAnswer: -730.1415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - -15. Let d = u + 157. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30654 and 1066?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128 + 127.99854. What is p rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 167. Differentiate 34*a - i*a - 12*a - 280 - 27*a with respect to a.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:56 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = -y - 2*i, -3*y + 4*i = 7. Suppose -2 = -5*h + 23. Solve 2*j = -y*r - 11, h*r = -2*j - 0*r - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1 + 45\/(-27)). Let x(g) be the second derivative of -g**4\/12 + 3*g**2\/2 - g. Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 560 + -398. Let k = p + -2591\/16. Let s = k - 9\/16. What is the smallest value in 3\/4, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3 + 35084*p**2 - 35366848*p + 8672157120 = 0.\nAnswer: -18510, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 1154*c. Let s(i) = -i. What is s(a(o))?\nAnswer: 2*o**2 + 1154*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30983118, 30983116, 30983114, 30983112, 30983110?\n\"Answer: -2*a + 30983120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -205 - -2?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 45 - ((-9 - (-28 + 9)) + -9 + -2)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-8) + (-68)\/(-32). Let k be 2\/(-13) - -27*y\/13. Suppose 0 = 4*f + 4*v - 256, -5*v + k*v = 3*f - 196. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608871579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 20*a + 90. What is the third derivative of -7*l - a*l**4 + 17*l + l**3 - 27*l - l**2 + 3*l**2 wrt l?\nAnswer: -432*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1365)\/(-25)*(-10 - 0). Let i = -296 - r. Suppose -5*f = -0*f - i. Calculate the greatest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809037853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 300*v**3 - 11*v**2 + 15*v - 3. What is t(1)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*6\/(-54)*15. Let r(j) = 13*j - 20. Let f be r(q). Calculate the highest common divisor of f and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1143, 1153, 1177, 1221, 1291, 1393?\n\"Answer: j**3 + j**2 + 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411 - -721. Suppose -3*b - b = -2*f + t, 4*f + b - 629 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 87.\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*b + 502*b = 225 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37956847?\nAnswer: 37956847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:45 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 3*o + 4*o + 0*o - 106.\nAnswer: o - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*4*sqrt(44) + -2)**2.\nAnswer: 128*sqrt(11) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-125)*(1 + 9 + -5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = k - 21*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.274605ml to litres.\nAnswer: 0.001274605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 52*a**2 - 2*a + 7. Let v(u) = -u**2 + u + 1. Let c(s) = d(s) - 6*v(s). Find the second derivative of c(p) wrt p.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 2*v**2 + 1. Calculate the remainder when w(-2) is divided by 6*10\/(-15) + 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 139*o**2 + 231*o + 3. Let p be u(-8). Which is bigger: 7052 or p?\nAnswer: 7052","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17519 (base 16) in base 14?\nAnswer: 26b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(125))*-5*-2.\nAnswer: -250*sqrt(5) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1141 - 1091. What is the remainder when 342 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48562083*v - 107153824?\nAnswer: 48562083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*j + 5. Let b = j + 1. What is the highest common factor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2515 + 501\/2515. Factor 4\/5*w - y*w**2 + 0.\nAnswer: -w*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, -2\/31, 2\/5, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*46\/1. Suppose g = 2*a - 5*j - 4, 5*a = 4*j + 42. Suppose 2 = 4*i - 4*x + 6, 37 = 3*i + 5*x. Calculate the lowest common multiple of a and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let o(j) = -5*j. Suppose 0 = -a + 5*a - 16. Let t(r) = a*u(r) + o(r). Let z(f) = -6*f. What is z(t(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(3\/23)\/(u**4*u**2*u)*u**(-3)*u*u**(-1\/6)*u**1*u\/((u**(-1)\/u)\/u) assuming u is positive.\nAnswer: u**(-593\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 5*k)*(-63 - 11 - 18)*(-1 + 2 - 2).\nAnswer: 92*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1207 divided by -131643.\nAnswer: 1207\/131643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.036, 4, -2, 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -156 - 82) + -7 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 - 8 = 0. Let b(v) = -v**3 + 3*v**2 + 5*v - 1. Let z be b(q). Suppose 27 = z*g + 6. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 15*k**2 - k + 21. Let b = 28 - 13. Let i be n(b). Solve -4*g = -2*m + i, -2*m - g + 4 = -7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1452677 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 275*t + 14025. Give n(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0941 + 0.2941. Suppose 0 = 3*c - 4*i - 3, -2*i - 5 - 1 = 0. What is the closest to 0.1 in s, 2, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 430*n - 172. Determine l(-143).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*u + u - 37, -5*m - 4*u + 53 = 0. Is -1*411\/(m\/(-12)*2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 29*x + 78. Which is the second smallest value? (a) x (b) -3 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-78)*(-74)\/(-370)*2\/(-18).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egegekseesgse. What is prob of sequence see?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + o = -7, -4*f + 9*f - 17 = 4*o. Let m be (-4 - -4)*(0 + f). Is m*(-1)\/2 + 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334333 (base 6) to base 16.\nAnswer: -6e31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + 40. Let m be (-226)\/5 + (-5)\/50*-2. Let r = m + d. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**19)**(-4\/31) assuming s is positive.\nAnswer: s**(228\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 0.3, 0.1, 31 in ascending order.\nAnswer: -4\/15, 0.1, 0.3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -138*n + 414*n - 134*n - 139*n. Let r(u) be the first derivative of -10 - 19\/2*u**2 + 0*u. What is r(t(b))?\nAnswer: -57*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b + 31*b + 30*b + 24*b + 6457*b**2.\nAnswer: 6457*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-351)\/(-26) + -16)\/((-3)\/6). Solve -16 = t + 3*j - 17, -5*t - 5*j = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 17 = 10*h - 15*h, 19 = -3*h + 5*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by 76.\nAnswer: 135\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 386, 704, 1104, 1586?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2353*c - 2366*c + 87867 = 0. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*i + 5. Let l(c) = -c**3 - 30*c**2 - 21*c + 236. Let d be l(-29). Solve -4*s = -5*s + d*n, i*n = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11499, -46005, -103519, -184041, -287571, -414109, -563655?\nAnswer: -736209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359466*x + 21851?\nAnswer: 359466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10230, -20494, -30758?\nAnswer: -41022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37981831?\nAnswer: 67, 179, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(28) - -3*sqrt(28)))\/(3*sqrt(196) + sqrt(196) + sqrt(196)).\nAnswer: 8*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10*14*1. What is the units digit of 2\/l + 172\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:20 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209279 is divided by 926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 24 = -4*o - q, 2*q = 5*o - 30. Is 7 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -762 - 24916*d**3 + 12461*d**3 + d + 12457*d**3 - 2*d**4 to z*d**4 + f*d + t*d**2 + g + j*d**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(22)\/sqrt(2) + sqrt(121)\/sqrt(99) + (sqrt(1100) + (sqrt(1100) - -2*sqrt(1100)))*3)**2.\nAnswer: -728*sqrt(11) + 1457465\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 612\/(-162) - (-5 - -1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(7\/126). Let k be 6\/(-4) + v\/(-2). Suppose 4*z - k*x + 21 = -8*x, 3*z + 5*x = -22. Which is smaller: -4\/19 or z?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34662 and 132108?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*t - 46, t = 3 - 0. Let r = y - 21. Suppose -20 = -r*i, c + 2*i = i + 27. Solve -3 = 4*n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-5)\/(-60))\/(161\/(-69))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*s + 186 = 0, -v + 6*v + s - 442 = 0. Let o(b) = -4*b - 66. Let n be o(-21). Let g = n + -10. What is the highest common factor of v and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003038 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333461424 is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.39 or -44846?\nAnswer: -44846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82163993 is divided by 5010?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0)*(5*g**3 + 13*g**3 - 4*g**3 + 9*g**2 + 15*g**2 + 5*g**3 - 29*g**2 + (3*g - 3*g + 2*g**2)*(-5*g + 3*g + 3*g)).\nAnswer: 42*g**4 - 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8226*p**3 + 13*p**2 + 2519*p + 1. Let z(t) = -1371*t**3 + 2*t**2 + 419*t. Let v(x) = 2*w(x) - 13*z(x). Find the second derivative of v(d) wrt d.\nAnswer: 8226*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 48. Let u be 14\/4 - (-18)\/t. Let w(i) = 2*i - 4. Let f be w(u). What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 2*o + 3. Let h(r) = -25*r**2 + 16*r - 25. Calculate 6*h(z) + 51*m(z).\nAnswer: 3*z**2 - 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 183108*p - 182828*p - 3*p**2 + 7*p**2 = 0.\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*j**5 + 2*j**3 - 15*j**5 - 35 + 37 + 2*j**5 + 2*j**5 - 8*j**5 + (2*j**3 - j**3 + 0*j**3)*(j - j - j**2) - j**5 - 4*j**5 + 2*j**5.\nAnswer: 10*j**5 + 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 5. Let d(o) be the first derivative of o - 2. Let x = -8 + 11. Let g(n) = x*d(n) - a(n). Find the first derivative of g(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -5\/2*h**3 + 0 + 0*h - 11\/12*h**4 - 7*h**2. What is the units digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -68. What is the common denominator of -121\/20 and 12\/54 - (-670)\/b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/3970 and 19\/890?\nAnswer: 353330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, -202, 2, -8 in decreasing order.\nAnswer: 2, 1, 0, -3, -8, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 0 + 3.\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.376 and -14787985971.\nAnswer: -14787985957.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.8959nm to meters.\nAnswer: 0.0000004048959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 443761, 3\/8, 2\/15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -3798, 56 in ascending order.\nAnswer: -3798, -3, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {i: 5, h: 5, l: 8}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -280, 0.08, -4\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285654 (base 9) in base 12?\nAnswer: -2a0827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002030777 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 181268 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 114 - 4 = 3*f, 5*w + f = -282. Find the common denominator of -4 + (-30)\/w + 1\/(-7) and -73\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 0. Let q = j - 0.8. What is the second smallest value in q, 0.02, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24643 is divided by 189.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74064188 divided by -154946.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 75*p**2 - 1256*p + 4791. Calculate a(-44).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 4, o: 4}. What is prob of picking 3 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -770296*o + 130260.\nAnswer: -770296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/39 + -115\/78. Suppose 4*o + 124 = 4*z + 104, -2*o = -z + 1. What is the second smallest value in 44\/3, v, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 1. Let b = i - -22. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 20 + -30 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m**2 + 115. Let l be 0\/(2*(3 + -4)). Is t(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.6979 + 15759411.33.\nAnswer: 15759386.6321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 42. Let r = -472 + 476. What is the third smallest value in s, -30, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -1105, -1176, -1245, -1312?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 48. Let r = 59 + i. Solve r = -0*k + 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 6, p: 3, c: 1, w: 3, e: 1}. Give prob of sequence wke.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 22. Calculate the lowest common multiple of t and 153\/(-68)*(-32)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 555.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13390, 140 in ascending order.\nAnswer: -1, 140, 13390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 72. Suppose -2*h = -h + 5*b - 9, 4*b + 74 = 5*h. What is the remainder when t is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1627?\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 279262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301*12\/56*4.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, g: 3, o: 2}. What is prob of sequence gogn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2469 divided by -3.\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17304\/1722 + (-144)\/(-288) + (-1 - 19\/2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 355*c - 60. Let m be v(12). Suppose 6*q = 10*q - m. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*o**2*p*w - 5*m*o**2*w + 38*m*o*p + 113*o**2*p*w + o**2*w + 2*p*w with respect to m.\nAnswer: 2*o**2*p*w - 5*o**2*w + 38*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/(-792) + 38\/9 + 159 + -163.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79662 divided by 17?\nAnswer: -4686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(260)\/((sqrt(875) + sqrt(35))\/sqrt(7)) + 0)**2.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20*8*(-11)\/220\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64 - 13 - (-1)\/(-1). Suppose 0 = 4*t - 5*h - w - 19, 0 = -5*t + 2*h + 99. Let m = 140 + t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9906 + 2680*n**4 + 1544*n**4 + 5199*n**4 wrt n.\nAnswer: 37692*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9887*t - 29663. What is l(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 77535.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 1:51 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:17 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 914, 939, 976, 1025, 1086, 1159, 1244?\n\"Answer: 6*x**2 + 7*x + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 - (-21)\/(-6). Let v = a - -6. What is the least common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238 + -3106460.\nAnswer: -3106222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13423, -5 in ascending order.\nAnswer: -13423, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251433 is divided by 72613.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -234*y. Let g(t) = -44*t**2. Give g(x(v)).\nAnswer: -2409264*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*i**2 + 1170*i**2 + 1487*i**3 + 1166*i**2 - 3500*i**2.\nAnswer: 1487*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 + (119\/(-28))\/(2\/(-32)) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o + 1 - 2)*(-2*o**2 + o - 5*o**2 + 2*o**2).\nAnswer: 10*o**3 + 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t)**(-7\/8)\/(t\/(t*t**3)*t*t**(-6)) assuming t is positive.\nAnswer: t**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 2.74.\nAnswer: -43.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(2057)*1 - (sqrt(2057)*-1 + -1)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7537 (base 10) to base 14\nAnswer: 2a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*44)\/((-25472)\/(-4776)*(-6)\/(-16))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = -4*d + 321, 2*o = -2*d + 164. Calculate the highest common divisor of 135 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -296*n + 295*n. Is n > 1\/1314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 839488*t**4 + 131922*t?\nAnswer: 10073856*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9965a2 (base 11) to base 10.\nAnswer: 1589931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 + (-45)\/12. List the prime factors of (-145)\/u - (-15)\/20.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 310*v**2 - 3*v + 3215*v**3 - 310*v**2 + (-3*v**3 + 2*v**3 + 2*v**3)*(-5 + 5 + 8) to the form i*v + l*v**2 + y*v**3 + c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y**2 + 16*y**2 + 12*y**2 - 22*y**2. Let z(q) = -3*q**2. Give z(c(r)).\nAnswer: -867*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 6. Let m be y(3). Suppose -3*b + 51 - m = 0. Suppose -b*w + 14*w = 18. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15282988 * 34\nAnswer: 519621592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487677745.\nAnswer: 5, 149, 654601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -31*j - 154. Is 14 a factor of o(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-264)\/30)\/((-1)\/10). Let w(n) = 21*n**3 + n**2. Let t be w(1). What is the greatest common divisor of j and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -146, 0, -6, 3, 4 in increasing order.\nAnswer: -146, -6, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 1. Let u be g(2). Let x = u - -4. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(36)\/sqrt(4)) - (sqrt(32)\/sqrt(4) + 1))*-1)**2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/7 - 44888*r\/7 + 251866568\/7 = 0. What is r?\nAnswer: 11222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 15*k + 3. Determine h(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 94950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u - 4. Let i be j(3). Suppose 0*b = 2*b - i. Let f be 19\/4 + b\/4. Solve -4*o + 3 = -f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (-1 + sqrt(200) + sqrt(200)) - sqrt(200)) + sqrt(200))**2*3*-3 + (-5*sqrt(12)\/sqrt(3) - sqrt(4))\/(sqrt(200)*2 + sqrt(200)).\nAnswer: -1809 + 899*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/120 + x**4\/12 + x**3\/6 - 63*x**2. Determine u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1274436 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.84547 * -1.1.\nAnswer: 8.630017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 472\/11, 126\/5, -3, -9 in ascending order.\nAnswer: -9, -3, 0.2, 126\/5, 472\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32729?\nAnswer: 23, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20127 divided by 3\nAnswer: -6709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -236956, -473898, -710830, -947746, -1184640, -1421506, -1658338, -1895130?\n\"Answer: z**3 - z**2 - 236946*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, -0.4, 0.38, -10\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033.4048945 rounded to zero decimal places?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61027 + 168559 = -1044*m for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -162*r**2 + 898*r - 14. Let y(m) = -54*m**2 + 303*m - 5. Let l(b) = 5*w(b) - 14*y(b). Find the second derivative of l(n) wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 672*x - 7934. Calculate g(8).\nAnswer: -2558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163152 and 213048?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.056 (b) 0.7 (c) -37.9 (d) -3 (e) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(-4)*195\/3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3534, 3424, 3314?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -101011000100100011111110?\nAnswer: 101011000100100100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {e: 1, t: 1, a: 1, v: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w + 1558. Calculate b(-102).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((-676)\/(-26) + 10 + 3).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179, 353, 543, 755, 995?\n\"Answer: x**3 + 2*x**2 + 161*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.978 to the nearest integer.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 130\/3. Let r be (-11)\/9 + (-7)\/(-4 + -3). Which is the nearest to r? (a) 0 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 35*l - 204. Let p be j(40). Let w(z) = z**3 + 6*z**2 + 7*z + 5. Determine w(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 76*r**5\/5 - r**4\/4 + r**3\/3 + 18*r**2 - 99. Find the third derivative of j(v) wrt v.\nAnswer: 1824*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 6. Let x be z(4). Let c = x - 118. Let n be (-9)\/(-5)*c\/(-18). Solve -o - o = -n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4\/7 - 3*j**3\/7 + 6*j**2\/7 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48581 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 417 + -416. Let h(u) = -2 + 3*u - 3*u + l - 5*u - 4. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 123\/2*(27 - 5691\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 4*s + 2*s)*(0 + 0 + s + (0 + 4 + 0)*(-4*s + s + 2*s)) in the form p*s + j + q*s**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 34 - 16. Suppose -4*b = -j*b + 4*k - 104, 3*b + k - 279 = 0. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3 + 39*j**2 - 90*j = 0.\nAnswer: 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27731 + 2.27731. Which is the nearest to 0? (a) 1055 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 610428*h**2 + 273. Let d(l) = -4489*l**2 - 2. Let v(x) = -273*d(x) - 2*u(x). Let y(c) = -2*c. Determine y(v(n)).\nAnswer: -9282*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201842 = -1589*o + 1546*o. What is the least common multiple of o and 16?\nAnswer: 37552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 73 + (45 - 61) + -71\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - 536?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110792*i*u**2 - 559*i*u + 2*u**3 - 24*u + 2 wrt u.\nAnswer: -221584*i + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -2457279.9363.\nAnswer: 2457283.9363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 9*c - 15. Let b = 821 - 818. Determine x(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/12 + -7 + 2\/6. Which is smaller: -1\/2719 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.3 (b) 0.2 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8347, 8319, 8243, 8095, 7851?\nAnswer: 7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122355, -244711, -367067, -489423?\nAnswer: -611779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/160 + (-105)\/(-140) and -27\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25559045 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13685 - 13685. Let o(t) be the second derivative of -1\/54*t**4 + 6*t + y*t**2 + 0 - 2\/9*t**3. Factor o(g).\nAnswer: -2*g*(g + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64099002 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48\/115 + -2\/115. Let b = 14 + -10. Let t = b + -7. Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*t + 4, 0 = -7*l + 2*l + 5*t + 20. What is the closest to 1\/3 in 0.4, 2, 12, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 - 6*g - 1287 = 0. Calculate g.\nAnswer: -33, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 17*c - c - 54000. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-6 - ((9 - -8) + -14)) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lslsshlssllssls. What is prob of sequence lll?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 = 63*k - 14*k - 219 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13103213 (base 4) to base 11\nAnswer: 20537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*b**6 - 50*b**4 - 68*b**2 - 40*b - 2?\nAnswer: 19800*b**3 - 1200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = -7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121515100 by -350.\nAnswer: -347186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -133*f**3 - 1080*f**2 - 656*f - 4218. Calculate i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 75549, 75560, 75579, 75606, 75641, 75684?\n\"Answer: 4*o**2 - o + 75546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*g**2 + 3*g**3 + 52*g**2 - 219*g**2 + 63*g**2 + (2*g**3 + 0*g**3 - g**3)*(0 + 0 - 1) in the form h*g**2 + u*g + r*g**3 + d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 25.58?\nAnswer: -27.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:59 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/112*z**8 - 1\/8*z**4 + 1\/35*z**7 + 0*z**3 - 16*z**2 + 0*z**6 + 0 - 1\/10*z**5 + 0*z. Suppose f(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(23658\/18 + 3\/18)?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 + m + 1. Let k = 10 + -5. What is the units digit of p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12323*s + 2185?\nAnswer: 12323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2000220020 (base 3) to base 5\nAnswer: 2240040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.777\nAnswer: -0.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -32, -35, -38?\n\"Answer: -3*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:22 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112903 (base 10) to base 15\nAnswer: 236bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/2 + (-13)\/(-234)*74637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufufuufuuf. What is prob of picking 4 u?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*t + 12 = 0, 0 = 2*l - l - 2*t - 18. Suppose l*h - 3*h = 300. Suppose 5*m - 24 = 36. What is the greatest common factor of m and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:36 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2930115 or -2930116?\nAnswer: -2930116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let n = 10 - w. Suppose 2*x = n - 2. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-10)\/3))\/((-6)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:37 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251308872?\nAnswer: 2, 3, 1163467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1 - 4) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 936033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d - 91. Determine g(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76, 126, 156, 154, 108, 6?\n\"Answer: -2*t**3 + 2*t**2 + 58*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v\/(v*v**(-7)*v*v)*v*v))*v*v*v*(v\/(v**(-8\/3)*v)*v)\/v*v)**(1\/3) assuming v is positive.\nAnswer: v**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:51 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 5 = -a, -4*f + 25 = 5*a. Let h be (f + 1 - 1) + 4. Is 267 - 2\/4*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499929 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/8 (b) -0.2 (c) 1880\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (100348\/10)\/((-6)\/4 + 57\/30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -18776?\nAnswer: 18776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 4*z + 4*z + (671 - 48 + 77)*(4*z**3 - 2*z**3 - z**3) as q + m*z + i*z**3 + r*z**2 and give i.\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 54. Suppose 0 = t - 5*k - 0*k + w, 5*t - 3*k = -57. Let h be 22\/18 + 2\/t. Do h and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 7 = 3*b - 122, -137 = 10*z + 3*b + 94 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*f**2 + 24*f**2 + 29*f**2 - 3 to the form c*f**2 + v + n*f and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-52)*(-2)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:03 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 60025 = -5*x - 3*l, 5*x - l = 59995. What is x rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 969 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 55747.3 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**2 + 3*v + 10. Let x be n(-5). Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/9, 1\/2, 2\/7, 2\/35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737282759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0. Round l to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.94948 * -6\nAnswer: 23.69688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**2 + 2*p**3 - p**2)*(2*p - 4*p + p) - 2*p**4 - 3 + 3 - p**4 - 3*p**4 + 5*p**4 + 2)*(-2*p + 2*p - p).\nAnswer: 3*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 23*c + 240. Calculate l(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -132 times 6\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 36. Let u(q) = 2*q**2 + 3*q + 3. Let j be u(-2). What is the third derivative of -2*y**5 + j*y**2 + y**i - y**2 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x + 37*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2010222011121?\nAnswer: 2010222011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 9) to base 13.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 596317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/96*12\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/60 and -29\/272?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, k: 10}. What is prob of picking 3 f and 1 k?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.01 (b) 4 (c) -2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:50 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153, 303, 453, 603?\n\"Answer: 150*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**4 - 1172*x**3 + 3492*x**2 - 3484*x + 1160 = 0.\nAnswer: 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -349623 and 1.7.\nAnswer: -594359.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-3))\/((15354\/(-8530))\/((-48)\/10)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99875398036202 - -2.\nAnswer: 99875398036204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -32*n + 16. Let y(r) = 4*r**2 - 2*r + r**3 + 1 + 0 - 2*r**2. Let x be y(1). Put x, -4, n in descending order.\nAnswer: n, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2160)\/94 - 12) + 35.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k + 9. Is (3 + -6)\/k + 53 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 3*x)*(-17 - 18*x + 17)*(-13 - 87*x - 10 + 23).\nAnswer: 1566*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/27)\/g*g)\/(g*g**(10\/7)))\/((g*g**(-2\/63))\/g*g\/(g**(-4\/31)*g)) assuming g is positive.\nAnswer: g**(-15233\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101332*q - 101349*q - 612 = 0 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from {n: 12, q: 1, p: 7}?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*k = -48 + 18, 0 = -c + 3*k - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1642 + -2334. Let c = y - -1252. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 4185130*b + 4185135.\nAnswer: -5*(b - 837027)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -75, 2\/26889, 5?\nAnswer: 2\/26889","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*v - 12, 4*v = -4*l - v + 13. Suppose -5*q - 112 = 4*f + 198, 5*f + 394 = -3*q. Let w be (1\/(-3))\/(4\/f). Is w not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = j + 4*j. Calculate the least common multiple of j and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*d*x + c**2*x - 25*d**3 - 82669*d*x + 19725090*x wrt d?\nAnswer: -c**2*x - 75*d**2 - 82669*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 42 + (-6 - (19 - 5))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o + 16. Calculate n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(-6)\/(-5). Let n be r + -4 - (-35)\/33. Let o = n + -47\/231. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 170, 22 in descending order.\nAnswer: 170, 22, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.163 - 10.137. Let i = 441605380.29999855 - 441605370. Let w = x + i. Round w to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15077*q**3 + 674*q**3 + 3625*q**3 + 4502*q**3.\nAnswer: 23878*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5 + 11564*d**4 - 92466*d**3 + 208024*d**2 - 184901*d + 57780 = 0.\nAnswer: 1, 5, 11556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2102 - 10057 = -4*i, 2*p = -6. What are the prime factors of i?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h*h**(-2\/11))\/(h**1\/((h*h\/h**(3\/11))\/h)))**(-3) assuming h is positive.\nAnswer: h**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.1. What is the nearest to -3 in 5, r, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2123 - 6370\/3. Are g and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385139973?\nAnswer: 3, 107, 1199813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/18*(-48)\/(-80))\/((-3)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.2, 137, 0.3, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from zwmzigmzzzmzgmzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/5))**(-14\/5))**(-45))**(-1\/27) assuming n is positive.\nAnswer: n**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 9*i + 4. Let t be u(9). Suppose -2*k + 1 = 5*b + 3, 4*k = b - 4. Let n = b - -5. Solve n*a = -2*w - 26, w = t*w + 5*a + 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f + 9*f + 4*f + 1108 - 15*f**3 + 11*f - f**2 - 1112 - 23*f**4 to a + n*f**2 + d*f**3 + o*f**4 + r*f and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3 = c - 2*c, 10 = s + 4*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*o - 146 = -3*d, 0 = 4*d + 3*o - 304. What is the units digit of 6\/(-15)*(-1 - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 20*q**2 + 21*q - 36. Let c be o(19). Solve 47 = -7*g - c for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. What is the tens digit of (-4332)\/(-90) - i\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -19, -27, -37, -49, -63, -79?\n\"Answer: -u**2 - 3*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:28 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286634 by -1222.\nAnswer: -143317\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xejmnnix. What is prob of picking 1 x and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuouuuuoouuuuuu. What is prob of sequence uuu?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 4*b - 3. Let a be f(-1). Suppose 3*d - a = -h - 0, -h = -4*d - 4. Differentiate 2*r**4 - 12*r**h - 5*r**4 + 14 with respect to r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 5968\nAnswer: -65\/5968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**6 + 5*z**5 + 8*z**2 + 5*z wrt z.\nAnswer: -360*z**3 + 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j + 254. Calculate s(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-18))\/(5*4))\/(45\/(-7740))\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjmot. What is prob of sequence mj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 2*t - 8*p - 4*p + 14*p + 4, -7*t = -3*p + 44 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 111. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4669780.\nAnswer: 2, 5, 233489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22867 or 68597\/3?\nAnswer: 22867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 - 10*q**2 - 468*q + 26*q**2.\nAnswer: -11*q**2 - 468*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144 + 50?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000100992119 rounded to 6 dps?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 12132?\nAnswer: -12132.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 32. Let g(r) = r + 5. Let f(v) = 1. Calculate u*f(b) + g(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.602 + 11.\nAnswer: 11.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than or equal to -223835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, -3, 5, -73, 3, 23, 2 in increasing order.\nAnswer: -73, -3, 2, 3, 5, 23, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1448, -1352, -1256, -1160?\n\"Answer: 96*q - 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 4. Let w be l(-4). Let u be 2 - (2\/w - 1\/4). Solve u*j - 3*c = -2*j + 4, 10 = -3*j - c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31891 is divided by 708?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(11\/6))\/(g\/g**(-20))*(g\/(g\/g**(-1))*g)**(-1\/9))**(-2\/17) assuming g is positive.\nAnswer: g**(109\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 + 5646*m**4 - 33662*m**3 - 400494*m**2 + 1348960*m + 9014400 = 0. What is m?\nAnswer: -5, 8, 2817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8 = 3*v + v, t + 1 = -v. Let i(c) = -c**2 + c + 6. Let q be i(v). Let o(l) = 5*l + 6 + q*l - l**2 - 5*l + 3*l. Determine o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14887 - 19501971\/1310. Let r = y + -537\/131. Find the common denominator of r and 31\/796.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 3*t**3 + 7*t**3)*(0*t - 2*t + 3*t + (-5 + 3 + 0)*(t + 5*t - 5*t))*(-1 + 0 + 2).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 69+1.08\nAnswer: 70.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 - (-784)\/48)\/((-2)\/(-24)). Suppose 3*v + 15 = 4*h - 5, 2*v + 20 = -4*h. Let x = o + v. Solve 0 = t - 3*f + x, -f - 3*f + 24 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) -5\/6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2*x*x*x\/(x\/((x**(-1\/4)*x)\/x)))\/((x\/(((x*x**(-1))\/x)\/x*x))\/(x**(2\/5)\/x)) assuming x is positive.\nAnswer: x**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let o be (-70)\/(-3) - f\/3. List the prime factors of (0 - o\/(-15))*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2125222 + -1175?\nAnswer: 2124025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665662 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 131, 161, 191?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 62 = a, -3*a + 53 = 2*n - 145. Let z = a + -29. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12 - 20 + 23 - 32*s - 7. Let k be m(22). What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -39*y - 104. Let j(s) = 13*s + 32. Let w(d) = 13*j(d) + 4*v(d). Let u(h) = -7*h**2 + 6*h**2 + 11*h**2. What is w(u(g))?\nAnswer: 130*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 2. Let c = 11 + d. Let s = 0 + 0. Solve s = -3*q + c + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-1 - 20\/(-28))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 841, -1 in descending order.\nAnswer: 841, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.016 in 1, 2, 4, -60, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjoj when four letters picked without replacement from iojtj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 + -178. Let x be -1 + -5 + 1172\/i. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + -2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132.2902922 + -132.29. What is k rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 163314794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87965190.\nAnswer: 2, 3, 5, 131, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 13. Let m be i(7). Suppose 0*k + m = k. Let h(q) = 680*q**3 + 2*q**2 + 8*q. Let u be h(k). Round u to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 29*l + 15. Determine j(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 43, 54, 65?\n\"Answer: 11*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25391559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 12*w + 12*w - 12*w**3)*(-2*w - w + w + (-1 + 2 - 2)*(3 - 4*w - 3)).\nAnswer: -24*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -60*l + 72. Let b be j(9). Let k = 254 - b. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**4 - 66*x**4 - 20*x**4 - 4*x**4 + 6*x**4 + 0*x**4 - x**4 + x**3 - x**3 + (2 + 4 - 5)*(3*x**4 + 0*x**4 - 2*x**4) + x + 2*x**4 - x + 5*x - 5*x - x**4.\nAnswer: -69*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -3*l - 1075. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147.377501408 + 0.\nAnswer: 147.377501408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20409262*t**4 - 88031636*t wrt t.\nAnswer: 244911144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 115 (b) -3\/4 (c) 2\/3 (d) 2.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -975199 or -975202?\nAnswer: -975199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 30 + -32 + 5 + 1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from ffefbeffbfehseemf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943115 smaller than -1943119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/5 + 2744*c**3\/5 + 1882383*c**2\/5 - 2744*c\/5 - 1882384\/5 = 0.\nAnswer: -1372, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 + 111. Let l be 46\/(-8)*(0 + u) + 4. Is 1\/3 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203320123 (base 4) in base 9?\nAnswer: 243541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 32 + 31 - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 10. Determine o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.11425 rounded to one dp?\nAnswer: -161.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101273 is divided by 1715?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + -136?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 35*u + 5*j + 7 = 0, -4*u + 4*j + 44 = 0. What is the remainder when 332 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 * -4\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 8*y**3 + 0*y**3 - 4*y**3 - 63*y + 76*y + 184*y**2 + 167*y = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 - 115) + 558\/31.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 314?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 3.3. What is the second biggest value in 0.3, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/36*-21 - -265. Is h equal to 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421.5 + 641. Let w = k + -219. What is the second smallest value in 2.1, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i**3 + 2*i**2 - 1. Let o be r(1). Let v = 14 - o. Let k = -7 - -10. What is the greatest common divisor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27670, -27674, -27678?\nAnswer: -27682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 235864674 divided by 18\nAnswer: 13103593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*k = -5*k + 5, -2*o + 5*k + 23 = 0. Suppose 0 = -2*u - u - 5*i - 40, -u - 25 = o*i. Let w be (6\/3)\/10 + (-49)\/u. Are 7 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u - 8. Suppose -3*k + 0*i + i = -20, 3*i = 5*k - 36. Let x(s) = s + 1. Determine k*x(l) + g(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let d = -131 + 148. Let w(p) = -1 - 36*p - 24*p + d*p. Calculate c(w(x)).\nAnswer: -86*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**7\/42 - 11*h**6\/6 - 263*h**5\/6 - 385*h**4\/2 - 735*h**3\/2 - 232*h**2 - h. Let f(z) = 0. Calculate z.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/5, 19698?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*c - 4*c**2 - 5*c**2 + 7*c**2 to the form t*c**2 + h + z*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1328388 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (40 - 18 - 25) + -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*w = -88 + 1340 + 2717 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 2*i - 2*i + 4*i + 8*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyzyzzzz. What is prob of picking 3 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 19. Suppose 0 = -3*p - 3*z - 9, 0*z + f = -3*z. Solve -15 = -v - p*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1765 + 1306 + 1096)*(-2*f + 2*f + 2*f**2) + f + 2*f**2 - f + (-4 + 4 + 3*f)*(f + 3 - 3) to the form b*f**2 + t + p*f and give b.\nAnswer: 1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -35 - (-10 + 9 - -14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-30)*6*768\/(-48).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*p + 2600 - 5660 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266713 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -121002?\nAnswer: 121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3849296521 and 0.3.\nAnswer: 3849296521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(88) + sqrt(88))*-2)\/(-4*((sqrt(220)\/sqrt(4))\/sqrt(5) + sqrt(11))) + -3)**2.\nAnswer: -9*sqrt(2) + 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61 - 57 - (-6 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 9*v**2\/2 - 8*v.\nAnswer: -v*(v - 16)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let a(x) = 90*x - 72. What is a(p) - 72*f(p)?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-3))\/(-1) + 18. Let o be (-14)\/(-63) - z\/(-9). What is the tens digit of -1 + (1 - o)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.028, 35\/8?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.22 (b) -6 (c) 13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 10*q - q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63843 and 229180?\nAnswer: 8938020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -45399 (base 10) to base 3\nAnswer: -2022021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 24*v**2 + 7*v - 30. Let l be c(-24). Find the common denominator of 37\/58 and (-359)\/l + (-14)\/63.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86666.3 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 - d**2 + d + 2. Let n(r) = 7*r**3 - 3*r**2 + 3*r + 5. Let i(k) = 5*m(k) - 2*n(k). List the prime factors of i(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 565 = 173*r - 228. Put -12, r, -0.199 in descending order.\nAnswer: r, -0.199, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 2\/7, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442*t**3 + 185*t**5 + 303*t**3 - 1605*t + 1100*t**4 - 325*t**3 + 52 - 1190*t**2 + 38 = 0 for t.\nAnswer: -3, -1, 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 782.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*x + 4*v, 0 = -x + 7*v - 2*v + 23. Let u(r) = -74*r + 4 + 3 - 190*r - 5. Let i be u(x). What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -516*t**2 - 372*t**2 - 12*t + 8*t - 251*t**2 to p*t**2 + s + m*t and give p.\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2849 - -2876. Solve g + 24 = q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -31*x**3 - 4*x**2 + 15*x - 14. Let d(g) = g - 2. What is -6*d(f) + k(f)?\nAnswer: -31*f**3 - 4*f**2 + 9*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 363 + 348 = 0. Suppose a*f - g = 276, 5*f - 4*f - 88 = -g. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 2. Let w be x\/4 + 88005\/(-20). Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/120 + 7*r**5\/60 - 7*r**4\/24 + 3*r**3\/2 - r**2. Let v be (-1)\/(2*2\/(-24)). Let b be t(v). Solve -k = b - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -135*n**4 + 4*n**2 - 8*n - 366. Let a(q) = q**4 - q**2 + 2*q - 1. Let r(o) = -4*a(o) - h(o). What is the first derivative of r(b) wrt b?\nAnswer: 524*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1731489 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.033, -0.03, 263, -6\/11 in decreasing order.\nAnswer: 263, 0.033, -0.03, -1\/2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/24 and -13\/3892.\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2526 and 61\/276?\nAnswer: 116196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10834152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1336146 and -53\/9744.\nAnswer: 10689168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -90. Sort 0.8, n, 1 in increasing order.\nAnswer: n, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1080 and -37\/252.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**4 - 57*l**3 + 7408*l**2 + 10452*l + 2992 = 0?\nAnswer: -44, -1, -2\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4509930 and 90?\nAnswer: 13529790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*v - 21*v + 368*v**2 - 18*v + 2 - 23*v + 552*v**2 in the form l*v**2 + y*v + k and give l.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1182187701 by -131354189.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828749 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) -8\/7 (c) -2 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 61*x - 8165. Determine a(131).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by -186?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 141, 4090, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/6? (a) -7 (b) -128 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6910*b**2 + 7 - 2.\nAnswer: 6910*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let t(w) = -13*w + 5. Let h(g) = g + 4. Suppose -4*r = -2*r + 2. Let v(f) = r*t(f) + 3*h(f). Determine v(c(q)).\nAnswer: 32*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let r be ((-7)\/(-21))\/((-2)\/(-12)). Suppose -85 = -3*b - p - 4*p, r*b - 25 = 3*p. Solve 2*h + c*h = -b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 10 = 36*k. Suppose 47 = a + 5*c, -3*c = -k*a - 76 + 227. What is the lowest common multiple of a and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 2*b**5 + 0*b**5 + (-b**5 + 3*b**5 - b**5)*(-4 + 3 + 0).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 464290427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -47, -146, -317, -578, -947?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*r = 37, -3*r = -5*g - r + 5. What is the third smallest value in g, -4, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2598505 and 1365?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 - 10*u**3 - 6*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 1056100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1353526251 and 0.0709.\nAnswer: -1353526250.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/99 and 143\/953712.\nAnswer: 10490832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 15*n**2 - 17*n + 41. Let y be d(14). Suppose 2 = -2*r - 2*x, 3*x = -2*r - 0*r - 1. Sort r, 3, y in decreasing order.\nAnswer: 3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1166, 769, 104, -835, -2054, -3559, -5356, -7451?\nAnswer: -9850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -747.965025 - -748. Let k = d - -4.965725. Let g = -5 + k. What is g rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (100 - 93) - -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1829*g**3 - 764*g**2 wrt g.\nAnswer: 10974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23 + -8 - -1) + -2. Is (-12)\/(-42) - (-14892)\/f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 103\/3, -5, -0.5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9483908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 33*t**2 + 1.\nAnswer: -33*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*m**3 + 0*m**2 - 210*m**3 + 0*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.908095221 and 250.\nAnswer: 255.908095221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*d**4 + 135*d**3 + 165*d**2 + 85*d + 15.\nAnswer: 5*(d + 1)**3*(8*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 52 + 71)*(4*h**3 - 4*h**3 - 2*h**3) as m*h**3 + q + p*h + b*h**2 and give m.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1609577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -13. Let i be 1*d*(4 + 1). Suppose 670 + 1999 = 2*g - w, -i*w = 3*g - 4036. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*t - 15, -11*t - q = -9*t - 5. Suppose t = 20*o - 16*o - 40. Calculate the greatest common factor of 35 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260 + -260. What is the nearest to o in -4\/3, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*k - 38, 2*h + 0*h + 70 = 4*k. Let f be (k\/7 + -1)\/(5\/35). Suppose 4*s - f = 10, -4*o + 5*s = -8835. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -398 <= -397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.1 - -36. Let l = -3 + v. Let i = 2.6 - 3. Which is the nearest to -1? (a) i (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -7*b**2 - 15*b - 75. Let k be (-2)\/((-4)\/3)*-4. Does 14 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w**2 - 5*w - 13. Let a be n(-4). Suppose -2*r + 5*t - a = 32, 4*r - 2*t = -486. Is r <= -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45118 and 0.40606.\nAnswer: -45117.59394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 + 4*m**2 - 6*m - 3. Let x be r(7). What is the first derivative of 0 - x + 3*c**4 - 2 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1871.06157 and -619.\nAnswer: 1252.06157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.051 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661 * -89.581.\nAnswer: -59213.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 30. Let o = 24 - l. Suppose -2*h + 3*b + 39 = 6, -h = 4*b - o. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -1\/1512*f**8 + 0*f + 0*f**3 - 1\/27*f**4 + 0 + 2*f**2 + 1\/180*f**6 - 2\/945*f**7 + 2\/135*f**5. Determine t so that i(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 56*s**2 - 645*s - 107. Determine y(-16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -59. Put 4, q, -2, 3 in increasing order.\nAnswer: q, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 653556477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98213490 to the nearest integer?\nAnswer: 9910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1499 (base 14) to base 12\nAnswer: -2153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = -4*h, -6*c + c = h - 7. Suppose h*f - 3*i = 17, 2*i - 13 = 2*f + 5*i. What is the tens digit of -9 - -21 - (-5 + f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 7*o + 24 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186386, -372702, -559016, -745328, -931638, -1117946?\nAnswer: -1304252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0571787 millilitres to litres.\nAnswer: 0.0000571787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304 by -1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22313022022 (base 4) to base 2\nAnswer: -1010110111001010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:58 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*b**3 + 27*b**3 - 60*b**3)*(-1 + 1 + 2*b)*(3 - 2 + 0) as h*b + r*b**3 + g*b**2 + l + o*b**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 5047?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 15*g**2 + 0*g + 1\/21*g**3 + 1\/210*g**6 + 0 - 1\/42*g**4 - 1\/735*g**7 + 0*g**5. Factor u(v).\nAnswer: -2*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268\/5 + -54. Let n(p) = -p. Let z be n(2). Let b be ((-8)\/(-12))\/(z\/3). Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1234 divided by -617.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 45*a**2 - 45*a + 1759. Determine c(-43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7869066 is divided by 689?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -2*(-5)\/(-5). Solve p = -2*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1570 (base 11) to base 15\nAnswer: 8e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 4*f - 348 = 0, -35*u - 3*f = -36*u + 2 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t. Let p(c) = 11*c + 9. Let y(b) = -4*b - 1. Let h(z) = p(z) + 10*y(z). Determine 2*h(g) + 5*j(g).\nAnswer: 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41051785 and 1985?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 6. Let f be g(5). Let j(o) = 5 + 0*o + o - 2*o + 5*o - 156*o**3. What is the hundreds digit of j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8451 - 371871\/44. Calculate the common denominator of g and -64\/3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*q + 141 = 0, -5*q - 195 - 158 = -3*r. Suppose -4*d + 286 = -r. Let k = 128 - d. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 80, -4, 2\/11, 0.5, -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1208 - -1208.1. Is y at least 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v - 295 = 8*v, -v - 299 = 4*g. Let y be (-3*(-40)\/g)\/((-2)\/5). Let u = 8 - 6. Solve 5*b - 2*b + u*m - 10 = 0, 0 = y*b + 2*m - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 1, 37, 0.5, -43, 79 in decreasing order.\nAnswer: 79, 37, 1, 0.5, -0.5, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319651586, -1319651585, -1319651584, -1319651583, -1319651582, -1319651581?\nAnswer: -1319651580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5225 - -5212. What is the biggest value in s, 3, -2\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18071 + -18048. Solve -104 = x*z - 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/7)\/v)\/(v\/(v*v\/(v\/(v**28*v))*v)))**(27\/7))**(6\/11) assuming v is positive.\nAnswer: v**(33048\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -64436233\/2 greater than or equal to -32218117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -2*x**5\/5 - 13*x**4\/6 + 2*x. What is the third derivative of v(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111110010111111110011 + -1001?\nAnswer: 1001111110010111111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(2*c**4 + c**4 - 5*c**4) + 7*c**3 - c**3 - 5*c**3 + 10*c**5 + (82 - 23*c**5 - 82)*(1 + 1 - 3).\nAnswer: 29*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 2*z + 15. Calculate q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4735, 4665, 4595?\nAnswer: 4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = -43. Let g(m) be the second derivative of m**2 + 2*m + 0 - 1\/2*m**c. Calculate g(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5840\/33 - 362048\/165. Let f = -2362 - s. Let o be (-10)\/(-4) - 2 - 34\/(-4). Are f and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2064, 3848, 5640, 7440, 9248, 11064?\nAnswer: 12888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68.33 + 67. Round a to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 20270*y**3 - 30070095*y**2 + 102594050980*y + 128087533839380.\nAnswer: 5*(y - 3481)**2*(y + 1454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/6 + 11793*k. Let i(u) = -166*u - 37. What is a(i(r))?\nAnswer: 166*r + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 3, e: 1, c: 2, n: 1}. Give prob of sequence nc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-20) + 0 - 317\/(-3170). Are m and 1\/883 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.239? (a) 2\/5 (b) 3\/2 (c) 3 (d) -2 (e) 4\/3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 5*j - 25 = -19*g, g + 5*j - 17 = 0. Factor 2\/5*c**g - 2\/5*c + 2\/5*c**3 - 2\/5.\nAnswer: 2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 10*a**2 - 6*a + 37. Let p be w(5). Suppose 187471 = p*k + 40520. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b. Let f(l) = 714*l. Give 6*f(t) + 187*w(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -222, -443, -664, -885, -1106, -1327?\n\"Answer: -221*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 41*o = 45*o - 28, 5*v + 28 = 2*o. Let u be (138\/9)\/((-4)\/(-6)). Sort u, 0, -1, v in decreasing order.\nAnswer: u, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44 - 0) + 0 + 0. Let l = 3 + -2. Let j be 16\/n*l\/2. Which is the smallest value? (a) -3 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332764519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -3 + 1 + 3. Suppose 0 = q - 0*o - 4*o + j, -5*o = 5*q - 25. Let w(v) = 12*v**3 + v**2. What are the prime factors of w(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + p - 2585, -2*p = -5*c + 1293 + 1307. Is (7\/(-14))\/((-1)\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8) + -2 + (-45)\/(-84))*(34 + -35)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/15, 0.8, 0.025 in descending order.\nAnswer: 0.8, 0.025, -11\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141.0601 - 141.69. What is b rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = f. Suppose 2784 - 3246 = -77*v. Solve -v = -3*s + f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 166?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 14) to base 13.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2 - 2) + -42 + 44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= -0.08469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 - 2*t + t**2 + 2 + 3*t**2. Let a(j) = -2*j**2 + 4*j**2 - j**2 + 2*j - 3*j. Let v(z) = 2*a(z) - r(z). What is the first derivative of v(x) wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -225, -510, -909?\n\"Answer: -57*k**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2440397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - 10010100001011011000?\nAnswer: -10010100001010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846899 <= 3846900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 16 + 1905*x - 11761*x + 69692*x. Let v be d(-6). Round v to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-4))\/(6\/96). Suppose 2*o + 207 = -3*r, 2*r = -b + 2. Find the common denominator of 79\/14 and ((-2)\/(-3))\/(o\/(-153)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 - -904\/3. Suppose -3*k + 0*b + 2*b + 328 = 0, 3*k + 3*b - 348 = 0. Find the common denominator of a and (1\/(-4))\/(3\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049454 to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/((p\/(p\/(p*p**(-7))))\/p*p))\/(p*p**(-1)*p)**(9\/10))\/((p**(-1\/2))**(-2)*p\/p**8*p**(3\/4)) assuming p is positive.\nAnswer: p**(167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one quarters of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10320132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 593995337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400348677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (4 - 0 - 8). Suppose p + l = -4. Let d be (-20)\/p*(-12)\/(-250). Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 5*o. Let z be s(-5). Suppose z = 3*t - 0 - 9. Let r(v) = 0*v**3 + v**t + 0*v**3 + 4*v**2 + 6 - 5*v. Calculate r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88459.\nAnswer: 7, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 2806.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19951 and 12851.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:18 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let x(g) = 17*g**2 + 14*g - 1. Let n(o) = -q(o) - x(o). What is the second derivative of n(v) wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020285582 rounded to 4 dps?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/22 + (-15384)\/(-11).\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -14*y - 8. Let q(l) = 5*l + 3. Let r(t) = 3*k(t) + 8*q(t). Let d(n) = -26*n**2 + 20*n**2 + 2*n**2. Give d(r(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -3*sqrt(17) + sqrt(17).\nAnswer: -2*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5884563 and -5884548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -a - 12, 0*a - a - 12 = r. Let v be (-22)\/a - 2\/(-12). Suppose g - v = -0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 332\/5. Let u be ((-10)\/(-60)*4)\/(2\/(-3)). Calculate the common denominator of 18\/((u\/4)\/((-17)\/(-374))) and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -689 by -13.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 8, -2*m - 2*m - 2 = 2*f. Let d be 8 + (f - 7) + -14166490. Let s = d + 8546486. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvar when four letters picked without replacement from {v: 1, a: 2, d: 3, r: 6, g: 1}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0*n**(-15) assuming n is positive.\nAnswer: n**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*q**2 - 10*q**3 - 8*q**3 + 18*q**3 - 2*q**4 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -4*g - 28*v + 8, -5*g - v + 26 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(12) + 5*sqrt(12)*1 + sqrt(12))*2)\/(-4*(1*sqrt(486) + sqrt(486))*4).\nAnswer: -7*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s - 4*u, 7*s + 3*u - 6 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 8*n + 2. Let i be 0 - (-15 + 6 + 2). Calculate p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, z: 4, a: 2, n: 1, e: 2}. What is prob of sequence zzz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u + 156*u + 938 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:04 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 498 and 138628260.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 49*b**3 - 9*b**2 - 2*b - 5. Let u(s) = 24*s**3 - 4*s**2 - s - 2. Determine -2*p(g) + 5*u(g).\nAnswer: 22*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let n(i) = 3*i**2 - 3. Let t(p) = 6*p**2 - 5. Suppose 5*b - 18 = -y, 5*y = -2*b - 2*b + 27. Let g(h) = y*t(h) - 5*n(h). What is g(j(k))?\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.47 - 0.53. Let s = -57 - y. Let b = 3\/65 + 251\/195. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1.1, -387, -0.125, 1\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2, -16\/25885, -2, 0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (2\/(-1) + 3)*-1. Let g(p) = -p - 4. Let l be g(-6). Suppose -5 = -j*k - l*k. Put -2, k, 0, 4 in increasing order.\nAnswer: -2, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 smaller than 221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37 - 0 - (3 + -7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -967, -1450, -1933?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18 + 1 + b**3 - 57*b + 114*b - 58*b + 7*b**2. Calculate a(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let h(p) = -14*p. Calculate the remainder when ((-2)\/(-4))\/(2\/108) is divided by h(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:07 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/195)\/((-1)\/(-25)). Let m = r - 103\/117. Which is the second biggest value? (a) m (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 5*n + 9. Let f be g(-4). Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2500*i**3 + 1300*i**2 - 1056*i + 144.\nAnswer: 4*(i + 1)*(25*i - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, -1\/4, 0.2, -0.2, -109, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 1276 = 3192 - 1446 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6678 and 17\/128046.\nAnswer: 142515198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (2\/1 - 1). Let h = c - -1. What is the third derivative of -2*s**5 + 9*s**4 - h*s**2 - 9*s**4 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8634*h**6 - 2435*h**4 - 8738*h**2 + h + 2766?\nAnswer: -1036080*h**3 - 58440*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7532741739051 plus 49?\nAnswer: 7532741739100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {z: 11, o: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**34\/f))\/f**(-3\/14))**(-10\/11))**(-23) assuming f is positive.\nAnswer: f**(-51175\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/60 and 151\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9993006962 and -0.45?\nAnswer: 9993006961.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 970396863\/4338 + (11\/(-6) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2676124 divided by 14\nAnswer: -1338062\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -405d1c (base 16) to base 8\nAnswer: -20056434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((43 - 21) + -59).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4*k. Suppose -4*y = -r - 2, 5*r + 8 = -k. Solve y = 3*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 9*b**2 - 11*b + 23. Let m be i(8). Let k be 275\/20 - m\/4. Calculate the common denominator of -41\/24 and k\/3*(-10)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 2*v**2 + 2 + 15*v.\nAnswer: -2*v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)\/(3 - 162\/63)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/30 + a**4\/24 - a**3\/3 + 2219*a**2. Let c(i) = 6*i**2 - 3*i + 5. What is 2*c(t) + 7*v(t)?\nAnswer: -2*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -4 - (8 - (6 - -2))) + (6 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 791*j**3*w**3 - 16*j**3*w - 12*j**3 + 5*j**2 + 8*j*w + 9*w**5 wrt w?\nAnswer: 4746*j**3*w + 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, -3, -0.2, 3\/170?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 2*m**2 - 237*m**3 + 0*m**2 - 76*m**3.\nAnswer: -313*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -k + 20, -k = d - 5*d + 20. Find the common denominator of (d + -29)\/6 - 23 and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 364798 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18\/(-4 + 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8073 times -0.2\nAnswer: -1614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -7. Suppose 3*w - 4*x + 34 = 0, 5*w + 5*x + 0 = -o. What is the remainder when (-11 + w\/2)\/(-1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -6. Let q(r) = -4*r**2 + 4*r + 2. Let z be q(2). Let n = -2 - z. What is the second biggest value in 0, n, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/200 + 59*w**5\/50 + 117*w**4\/40 + 237*w**2. Factor b(u).\nAnswer: 3*u*(u + 1)*(u + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 27*h - 156 = 52 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009284591 rounded to seven decimal places?\nAnswer: -0.0000928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20438810 * 4\nAnswer: -81755240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2 (b) 2\/5 (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40.70469, 4, 1\/3?\nAnswer: 40.70469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 < 50\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 0. Suppose -186 = -n*k - 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 3. Let h(g) be the second derivative of 32*g + 0*g**3 + 5\/12*g**4 + g**2 + 0. What is 3*h(q) - 2*p(q)?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -44. Let h be (b + 4\/(-8))*(-2 + 4). Suppose -4*o - 7 = u, h*u + 2*o - 9 = 2*u. Solve 5*z = -4*y + 12, 0 = u*y - z - 0*z + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*4*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7 minus -174205630?\nAnswer: 174205681.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*w + 735 = 434*w. Solve 3*g - 3*b - 2*b + w = 0, 11 = -3*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 12. Let r be u(-9). Let l be (-8861)\/((20\/8 + r)*-2). Let w = l + 15214. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -11, -16, -45, -110, -223, -396?\n\"Answer: -2*d**3 + 6*d**2 + 3*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c + 1. Let k be o(0). Let r(s) = -10*s + 1 - k + 5*s. Let y(l) = -3*l - 2. Let t(i) = -i - 1. Let a(h) = 6*t(h) - 3*y(h). Calculate r(a(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.922218 to one dp.\nAnswer: -191.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -434266 divided by -2?\nAnswer: 217133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {s: 2, j: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 4365998?\nAnswer: -436599c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/324 and 67\/162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twfduutyw. What is prob of sequence uwy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-102))\/(15\/(-30))*((-29)\/6 + 5)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -60*a**2 + 18*a + 18. Let s(t) = 17*t**2 - 5*t - 5. What is 18*s(q) + 5*y(q)?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313\/72 - 29\/9. Find the common denominator of i and 71\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p - 6. Let m be k(4). Suppose 2*d - 3*x - 7 = 0, x = -1 - 0. What is the second derivative of -3*a**2 + m*a**d + 3*a - a - 4*a**2 wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Let q be (12\/10)\/((-17)\/(-170)). Let v = 0 - 0. Solve -c + m*c - q = v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2995050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 3*j + 2*u - 10, -5*u = -4*j - 76. Let h(x) = -27*x - 277. List the prime factors of h(j).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4781 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 4, 7, 7595 in descending order.\nAnswer: 7595, 7, 4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from ezveevzxxsxe.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71370881*l**3 - 29*l - 1902841.\nAnswer: 428225286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-4*2)\/(sqrt(5) - sqrt(50)\/sqrt(640)).\nAnswer: -64*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 20895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.52 + -3.2. Let u = q + 0.18. Which is the closest to 1\/2? (a) u (b) 0 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-1)*(-36)\/(-2565))\/((-4)\/6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2746.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 - 0?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(-1*(sqrt(128) + -2) - sqrt(128) - sqrt(128)) + 0 + -2)*4)**2.\nAnswer: -29184*sqrt(2) + 296356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {m: 2, g: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -898.7 + -250.3. Let i = c + 1155.589. Round i to 1 dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 215 + 56*x.\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409588*k**2 + 14 - 204794*k**2 + 43*k**3 - 14 - 204794*k**2.\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328.9 + 0.666.\nAnswer: -328.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 24 = -2*v - 1, 2*z + 24 = 2*v. Let x be 306425\/(-40) - (-3 - z). Let u = 7652 + x. Find the common denominator of u and -65\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 44\/(-33)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 552*l**3*r**3 + 7*l**2 + 2*l*r**3 - 5*r**3 - 23*r - 13 with respect to l.\nAnswer: 1656*l**2*r**3 + 14*l + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223687515 is divided by 3238?\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r*r\/(r**(-6\/7)*r*r)*(r*r\/(r\/((r*r*r**(-1\/2))\/r*r)))**(-37))**42 assuming r is positive.\nAnswer: r**(-11575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 - 442 - (-107 - 9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-24)*g)**45)**(-17\/3) assuming g is positive.\nAnswer: g**5355","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((22 - 32) + 18 - (-2 - -20)) + -30\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Let q be f(-8). Is 10 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-276) - 634844\/(-4426212)?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18203144319 + 18203144213.000000596. Let k = j - -106. Round k to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111110110101 + -100101011101?\nAnswer: 1100011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.458494 centuries to decades.\nAnswer: 44.58494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61170 is divided by 61122.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -32*h. Suppose 4*i + 1134 = 3*s - 565, 2*s - 2*i - 1134 = h. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -146*y - 1553. Let w be t(-9). Which is greater: w or -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493758279 divided by -14853\nAnswer: -33243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/371 and -56\/11.\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 31. Let d be (-2 - 0) + (q\/9)\/1. Let c(t) = -t**2 + 7*t - 5. Let o be c(6). Is d > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.3119 kilometers in nanometers?\nAnswer: 257311900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from {z: 6, v: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 7, k: 9}. What is prob of picking 2 v, 1 k, and 1 d?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 (base 6) in base 9?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258 is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 198400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s - 5. Let l be q(0). Let w(a) = -9*a**3 - 5*a**2 + 2*a + 5. Let t(h) = 4*h**3 + 2*h**2 - h - 2. What is l*t(x) - 2*w(x)?\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 998 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*m**2*n**2 - m**2*n*w + 3*m**2*n + 2*m**2*w - 11*m*n**2*w + 80*m*n**2 - 2*n**2*w + 2*n - w wrt m?\nAnswer: -110*n**2 - 2*n*w + 6*n + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + x + 8 = 0, -293227*x - 24 = -3*g - 293222*x for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7300.01356 to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/825 smaller than 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v + 5*v. Let p = 72 - 69. What is the second smallest value in v, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482695?\nAnswer: 5, 23, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(-40)\/96)\/(4\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**2 + 0*h - 2\/3*h**3 + 1\/8*h**4 + 0. Find the first derivative of u(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572) - (sqrt(572) - -2*3*sqrt(572)))\/sqrt(11) - (sqrt(364)\/(sqrt(7) - -1*sqrt(7)))\/(6*1*sqrt(4)).\nAnswer: -145*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655968.\nAnswer: 2, 51749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 828, 1241, 1656, 2073, 2492?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/13, -5, -88, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 0.5, -12, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284454 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -12.19 and 54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -973*j - 371*j + 664*j - 2097*j to c*j + w and give c.\nAnswer: -2777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12027 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 2. Suppose -5*t - 4*s + 11 = 0, 3*s = -0*s + 12. Let l = 0 - t. What is the lowest common multiple of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 7*d**2 - 2 - 4*d**3 + 5*d + 9*d**2 - 2*d = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170698244 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446438 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: Let u(i) = -i**2 + i + 1. Let b(s) be the first derivative of -7*s**3 + 4*s**2 + 6*s - 1782. Give -b(k) + 6*u(k).\nAnswer: 15*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 63*v - 28. Determine p(-16).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4785 and 425214.\nAnswer: 678216330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -563 + 628. What is the remainder when 385 is divided by l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/472 and 101\/472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 + 163 - (-10 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267436891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 + -192?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03189 (b) -754 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 116254615.\nAnswer: 813782305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 42 = 5*o + 35, -2*o = 5*s + 24. Let f = o + 26. Let j(a) = a**2 + 7*a + 1. Is j(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 664\/(-6)*6\/(-4). Let d be i\/((-4)\/(-6)*-3). Let y = -31 - d. Round y to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27*d**3 + 2*d**2 - 1. Suppose 0 = 5*a + 5*s + 47 - 17, 3*s = -5*a - 20. Let x be o(a). What is the second derivative of -28 + x - y**3 + 5*y wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, y: 3, c: 3, m: 1, i: 5}. Give prob of picking 2 i.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.19, 4, -4, 77.8, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403062 is divided by 768.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3208*d**3 + 1612*d**3 + 2641*d + 0 + 1612*d**3 - 2641*d + 0.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + z**2 + 5 + 21494056*z - 3*z**3 - 21494051*z. Determine v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 196, 117, -14, -197, -432, -719, -1058?\n\"Answer: -26*r**2 - r + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8*w - 77 = 0. Let m(n) = 6*n + 2*n + 1 + w*n - 2*n. Give m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.1, 5, 0.0596, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2369 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527167238?\nAnswer: 2, 13, 20275663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 + 7*i**3\/6 - i**2. Let r(k) = 0*k - 3*k + k + 0 + 1. Let t be r(-2). What is g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8699, 8825, 8951, 9077, 9203?\n\"Answer: 126*o + 8573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 0, 2*o = 3*z - 0*o - 144. Let i(f) = 383*f + 80. Let r be i(0). What is the highest common divisor of z and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 2*b**2 + 2*b - 2. Let g be x(2). Let d = -9 - g. Let q = -1 - d. Sort 1, 3, q in descending order.\nAnswer: 3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylzgcgzmmllzyyyygyy. Give prob of sequence ggc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1275 or -1?\nAnswer: 2\/1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180)\/(sqrt(6)*1))\/(sqrt(10)*1*-4 - (sqrt(40)*2 - sqrt(40))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let m = -6 + -7. Let s = 18 + m. Which is the second smallest value? (a) y (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 10*g - 8. Let j be h(-12). Let s be 3\/((-44)\/j + 2). Put -1, 0, s in descending order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126749824 - 6336430939\/50. Let y = 21203 - r. Find the common denominator of -2\/55 and y.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 187*q + 2256. Give i(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -4*l + 3*c, 4*l = -2*c + 28. Let g be (3\/(-14))\/(l\/(-8)). Let i = 11 - 10. What is the nearest to i in g, 0, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5383460 and -5.\nAnswer: -26917300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 154. Is 21 a factor of (-42)\/((-322)\/l + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12676205, 25352401, 38028595, 50704787, 63380977, 76057165, 88733351?\n\"Answer: -d**2 + 12676199*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 198\/12 - 3\/(-2). Solve 4*r - 2 = -v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5. Let l(a) = 2*a + 4. Let w be l(g). Suppose 5*y + 3 = -w. Put -3, y, -11 in descending order.\nAnswer: y, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 617540 and 194810?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a1d3 (base 16) to base 6.\nAnswer: 50215203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128608?\nAnswer: 2, 13, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 4*o**2 + 7*o - 6. Let l = -2 - -7. Let n be b(l). Solve 2*y - 2 = n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*u + 5. Let d(h) = 5*h - 4. Let l(y) = -y + 8. Let v be l(6). Let r(q) = -v - 3 + 9*q - 2. Calculate u*d(i) + 3*r(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/68 and 127\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -16, -23, -32, -43, -56, -71?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/36)\/(((-145)\/(-232))\/(10\/8))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139.7744 - 139.8489539. Let j = y + -4.9253161. Let s = -5 - j. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.4, 5, 1\/2, -2\/11, -9\/443?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724 - 725. Which is smaller: v or -43.7?\nAnswer: -43.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -23*d - 3. Let u(f) = -1735*f - 13885. Let c be u(-8). Calculate k(c).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 8. Let j be d(12). Let a(r) = r - 4*r - 5*r + j. Is a(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 21, 74, 149, 246?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4*2\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - 153. Put 3, -4, v, 0 in increasing order.\nAnswer: -4, 0, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + 0.4. Let v = n - 1. What is the third biggest value in -5, 0.5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 117*v + 27. What is the units digit of n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 9\/5, -2, 7.6, 0 in decreasing order.\nAnswer: 7.6, 9\/5, 0, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224\/2497 + -20480651\/24970. Let v = c - -4147\/5. Find the common denominator of v and -73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133\/8 - -27\/2. Let h = j - -29\/8. Factor 1\/2*s**2 + 1\/4*s**3 - 1\/4*s - h.\nAnswer: (s - 1)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.4 (b) 1.3 (c) 0.5 (d) 4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -170*z**3\/3 + 112*z**2 + 8106*z + 572\/3 = 0. Calculate z.\nAnswer: -11, -2\/85, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*p**3 + 312004*p**2 + 499226*p + 187212 = 0. What is p?\nAnswer: -1, -3\/5, 31202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9091 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 357377.4707 to the nearest 10.\nAnswer: 357380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/62084 and 81\/14?\nAnswer: 434588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -20, 66, 190, 352, 552?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906 by 3.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68385*u**3 + 7*u**2 - 25*u - 3 wrt u.\nAnswer: -410310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156459, -625763, -1407935, -2502975, -3910883, -5631659?\n\"Answer: -156434*o**2 - 2*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 4. Let k(t) = t**2 - 9*t + 3. Let v be k(9). Let x(p) = -18*p + 8*p + 11*p - 1. Give v*x(f) - q(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1828178.\nAnswer: -1\/1828178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 36 - 1508046*i + 1508099*i.\nAnswer: 53*i + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 + r + 2. Let u be p(0). Let z be 241 + (4 - 6)*u. Suppose 3*w - 189 = z. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k + 1863 = -94 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -6 + 86 + -58.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 34*j - 6601 = -118*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57257 * -1\nAnswer: 57257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20*(-1 + 3))\/(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkxnrwknnxnnxkwmxn. What is prob of sequence nmx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.938 from -36.5.\nAnswer: -24.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438 - 816. Let s = -336 - d. Calculate the least common multiple of 18 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 7*i - 1. Let l be b(7). Let k be -4 + 10 + -4*287\/196. What is the nearest to k in -6\/11, l, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*r + 66, 4*r - 4*s - 23 = 85. Suppose 4*d - 21 - 267 = 0. Calculate the greatest common factor of d and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126118869 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 162207586 to the power of 1\/2, to the nearest integer?\nAnswer: 12736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c - 2. Is (-155)\/(-4) + c\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3133 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24381144, 24381142, 24381140, 24381138?\n\"Answer: -2*f + 24381146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooos.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26040800 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 99*s**2 + 1591*s - 1019. What is u(113)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1823 or -1\/10?\nAnswer: -1\/1823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -21*m**3 - 7*m**2 + 4. Let k(g) = -54*g**2 - 14*g**3 + 35*g**3 + 60*g**2 - 4. Let b(l) = 6*h(l) + 7*k(l). What is the derivative of b(p) wrt p?\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -4*c - 5*p, -3*c + 0*c + 5*p + 107 = 0. Let h = c + -42. Let j = h + -1. What is the greatest common divisor of 11 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o - 16. Let i be r(7). Let d(x) = x**2 + 10*x + 13. What are the prime factors of d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*c*n**3*z - 324*c*n*z + 29*n**3 - 5*n**2 + 12*n*z + 2*n wrt c?\nAnswer: -13*n**3*z - 324*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373483*w**3 + 373167*w**3 - 746652*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337964690.\nAnswer: 2, 5, 7, 4828067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*w - 679 = -2*w, 5*a - 3377 = w. Suppose -4*r = 159 - a. Let z = 383\/3 - r. What is the third biggest value in -4, -1, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 8*q**3 + 3*q**3)*(-1 + 3 - q + 20).\nAnswer: 7*q**4 - 154*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.4, -2, 16.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -55 + 271. Let p be y\/(-10) + (-6)\/(-10). Suppose -3*q = -3 + p, 3*q = 5*c - 13. Is c less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 10. Suppose r - 16 = -h*r. Let q = 98 - 92. Calculate the smallest common multiple of r and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 3 - 3 + 2 - 2 + 3*a**2 + (-6 - 5*a + 6)*(0*a + 9*a + 7*a) to v*a**2 + w*a + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3255160337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffrfrfsffrssssf. Give prob of picking 3 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*k. Suppose -k*w + 5*n = -23505, -w + 2*n + 5433 + 2403 = 0. What is w rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4663435\/43 + 10586597171\/97610. Let h = 10\/227 - i. Find the common denominator of h and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 9620.\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(112) - (sqrt(112) + -2*sqrt(112)))\/sqrt(7))\/(sqrt(8) + (sqrt(8) - 3*sqrt(16)\/sqrt(2))) + 2.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 17*s**2 + 4*s + 7. Let i be m(17). Suppose 29*q - 26*q - i = 0. Calculate the remainder when q is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, -32, 0.4, -333, 1\/68?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/2*(-228)\/(-20). Suppose 5*d = d - 4, -5*z = -2*d - a. Solve -z = 2*b + b + 2*s, -5*b - 4*s - 19 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2745, -2759, -2783, -2817, -2861, -2915?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1324*y**6 - 16017*y**4 + 2*y**3 - 23029*y**2 + 79*y + 2?\nAnswer: -158880*y**3 - 384408*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 4*k, 1 = -4*o - 0*k - 3*k. Let i be 3\/(-46)*o\/(-9). Let z be (4\/88)\/((-80)\/(-880))*(-4)\/(-2). Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*j + 40 = 4*q, -3*j = 2*q - 32. Let m = 10 - q. Suppose -d + 3*w + 206 = 0, -5*w + m*w = 20. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/24*(42\/7)\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6)**(-41) assuming t is positive.\nAnswer: t**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-28)*o*o**32*o)**(4\/5))**(-33) assuming o is positive.\nAnswer: o**(-792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + c + 1 = -8, 0 = -2*g - 4*c - 8. What is the common denominator of (-158)\/8 + 3\/g and 71\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.7206 and 9.4.\nAnswer: -138.37364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*j*q**4 + 2*j*q + 182*j + 2*q**4 with respect to q.\nAnswer: -316*j*q**3 + 2*j + 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/24 + v**3\/6 + 2*v**2. Suppose 0 = -5*s + 2*j + 15, 4*s - 3*j = -2*j + 12. Give t(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-588645)\/11124)\/(94\/(-32)) + -18.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 4*h. Let m = -2366 - -2370. Solve -m*g = -h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssc when three letters picked without replacement from scccadsvcsbs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 21. Let h = -19 - u. What is the nearest to h in -3\/2, -4, -7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjk. What is prob of sequence jkj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/17 (b) 1 (c) -2.7 (d) -1.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 3 + 1 + 3. Let o be (-30)\/(-45) + 13\/3. Suppose -3*v + h + 1 = 0, o*v + 4*h + 4 + 17 = 0. Let m(t) = 2*t**2 + 5*t - 5. What is v*m(c) - 5*l(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 735789\nAnswer: -5150523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(832)*1*-4 + sqrt(832)))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.82 + -43. What is m rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2. Let c(o) be the first derivative of 2*o**3\/3 - 111*o**2\/2 + 672. What is c(s(m))?\nAnswer: 50*m**4 + 555*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5900666, -1.\nAnswer: -5900666, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.9 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:31 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - b - 3 + 3 + b + (-3*b + 3*b + 2*b)*(-5 + 1 + 2) + 0*b + b + 0*b + (5 - 3 - 4)*(-5 + 5 - b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -748, -3, 1\/10, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1888\/(-4720)*(-2)\/16?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4660)\/(-1864)*66\/(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 948168994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/18 and 105\/2014.\nAnswer: 18126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122 - 10220002?\nAnswer: -11001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1872?\nAnswer: 561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k. Let o = 81 - 84. Let h(y) = y**2 - 4*y. Calculate o*h(j) + 5*x(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 31. Solve 2*m + a*p = p + 9, 4*p = -4*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9 - -25 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 - 0.3\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8022456, 8022491, 8022526, 8022561, 8022596?\n\"Answer: 35*k + 8022421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 23 - 948*g + 259*g - 30 to j + p*g and give p.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17215034 a multiple of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppippiippppppppip. Give prob of sequence ppp.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.1380653 - -89.14. What is a rounded to five decimal places?\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10224 and 25134?\nAnswer: 603216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.65 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b69 - -16?\nAnswer: 1b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -132 - 44*p + 1449747*p**2 + 3*p - 1449748*p**2 - 5*p. What is s(-43)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 325 and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*v + 8, 1 = v - 5*l + 5. Let x = -1 - v. Suppose x*w = -2*f + 39, 12*f - 7*f - 72 = w. Calculate the remainder when 74 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c**3 + c**2 - 1. Let t be n(-1). Let j(l) = 9 + 3*l**3 - 10*l**2 - 1 - 2*l**3. What are the prime factors of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * -39766736.\nAnswer: -147136923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waf when three letters picked without replacement from wawwafa?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -60. Suppose 7*v - 6*v - r = 0. What is the remainder when 68 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8665619 (b) -0.1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, b: 5}. What is prob of picking 1 f and 3 b?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 404*j**2 + 3596*j + 4004 = 0. What is j?\nAnswer: -1, 11, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147299?\nAnswer: 147299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 692851*h + 87992069. Calculate f(-127).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*w - 26*w = -335*w + 5*w - 25008 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 642*a - 240. Let p be s(12). Suppose 155*b - 147*b - p = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104)\/65)\/(1\/(-15)). Let l = 30 - t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57528\/(-1428))\/282*2\/(-14)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20187, 40391, 60597, 80805, 101015, 121227, 141441?\nAnswer: 161657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002121298 to 7 decimal places.\nAnswer: 0.0002121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c**1*c))\/c)\/c)**(-16\/7)\/((c*c**(-8)*c)\/((c\/(c*c**(-4)))\/c)) assuming c is positive.\nAnswer: c**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 15*q - 23. Let u(r) = 7*r + 8. Let z be u(-3). Let g be w(z). Suppose g*t - 8*t + 5015 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**3 - 2*f**2 + 1. Let l(u) = -u**3 + 9*u + 3. What is the remainder when l(-4) is divided by p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(14 + 325\/(-20)). What is the nearest to -0.1 in 5, 4, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 2*c**3 - 11*c**2\/2 + 15*c. Let r be z(-11). Let a = 1\/23 - 45\/506. Are r and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15005, -30013, -45021, -60029, -75037, -90045?\n\"Answer: -15008*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 226 from -0.06.\nAnswer: -226.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilometer in meters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -55*d - 932. What is j(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5 + 1. Let k(u) = -u - 4. Let i be k(f). Let d(a) = -a - 7. Determine d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1880675334 by -6.\nAnswer: -313445889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 271. Let p be q(40). Solve 7*m - 4 = p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 - 2*c + 3. What is the units digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3465 and 12089.\nAnswer: 544005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 - q - 2. Let r(o) = o**2 - 1. Let a(m) = 5*r(m) + s(m). Give a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, k: 2, b: 1, c: 7}. Give prob of picking 1 c, 1 b, and 1 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:41 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -435*q - 868. Let u be l(-2). Let p(a) be the first derivative of -a - 5\/16*a**4 - 1\/4*a**3 + 34 + 3\/2*a**u. Factor p(g).\nAnswer: -(g - 1)*(g + 2)*(5*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15063 = -25*o + 5362. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -7*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 4*y**5 - y**5 + (-2*y**3 - y**3 + 4*y**3)*(5 - y**2 - 5).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 2*o - 2. Let r(z) = 5*z**3 - z**2 + 3*z + 3. Let d(l) = 7*g(l) + 4*r(l). Does 16 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155900, -155899, -155898, -155897, -155896, -155895?\nAnswer: -155894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*p + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*m**2\/19 + 3754*m\/19 + 2860\/19 = 0.\nAnswer: -143\/202, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 97. Solve o + f*k - 8*k = -11, 0 = 4*o + k + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102002231 + -122001?\nAnswer: -102130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2*p**4 - g**2*p**3 - 2*g**2*p**2 - 92*g**2*p - 2*p**4 wrt p.\nAnswer: 72*g**2*p - 6*g**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 7. Let v(f) = -2*f**2 + 19*f - 4. Let h(z) = 6*z**2 - 55*z + 12. Let q(g) = -6*h(g) - 17*v(g). Let y be q(4). Does y = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 + 2 - (-9 - -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -14*h + 17. Let y(b) = -79*b**2 - 783*b + 62. Let z be y(-10). Let x(w) = -w. Let s(u) = 7*u - 11. Let n(l) = -s(l) + 2*x(l). Give z*n(q) + 5*p(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*(b\/((b\/b**(-21))\/b*b))\/b*b*b)*b)*b**13)**(9\/10) assuming b is positive.\nAnswer: b**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 + 1712322*s**3 + 3424635*s**2 + 1712316*s = 0 for s.\nAnswer: -570772, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*c + 79. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*q + 11 = 0, m + 7*q - 28 = 2*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96896 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 27.9. Let q = r + 1.2. Let b = -0.2 + 0.1. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 12\/5755 (c) -5 (d) -3 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*n - 43, -3*a + 23 + 0 = -n. Let q(w) = -7*w**2 + w**3 + a*w - 5*w**2 - 2 - 19*w. Does 11 divide q(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0103 + 0.0353. What is k rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 495*k + 1518. Let x(u) = 4*u**2 - 1492*u + 4552. Let j(r) = -8*w(r) + 3*x(r). Factor j(g).\nAnswer: 4*(g - 126)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14692 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 121, 118, 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 + 15*j**4 + 155*j**3 - 55*j**2 - 390*j + 280 = 0?\nAnswer: -4, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 + 3 + 1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243 + -25?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/122 and 53\/4436.\nAnswer: 270596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let u(n) = -4648*n. Determine t(u(y)).\nAnswer: -9296*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -41, -5, -53.6, 6\/41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -887 - -903. What is the remainder when 312 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (81 - 42)) + (35 - (4 + (-5 - 1)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/28 + (-4)\/(-14). Suppose -8*a + 3*a = g*t - 23, 4*t = -4*a + 28. Suppose -2*h + 6 = -t. Solve -h*m + 9 = 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 16 = -10*x. Sort -2, -3\/11, x in descending order.\nAnswer: x, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**2*t**2*w + 2*i**2*t - 5*i**2 - 2*i*t*w**2 + 5*i*w**2 + t**3*w**2 - 153*t**3*w - 10*t*w**2 wrt t.\nAnswer: 14*i**2*w + 6*t*w**2 - 918*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -12*t - 16. Solve -11 = r + 2*r - h, -t*h = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*a - 24, 2*g - 4*a = 3*g + 4. Let q(y) = -y**3 + 4*y**2 + y - 4. Let t be q(g). Let p = 19 - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c\/(c*c**(-3\/4)*c))\/(c*c**(-8)*c*c\/(c\/(c\/(c**(2\/13)*c)))))\/((c**(1\/2)*c*c)\/(c*c\/((c**(2\/13)\/c)\/c*c)))**(-6) assuming c is positive.\nAnswer: c**(649\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = 2*o, -11 = 4*g - 3*g + 5*o. Let y = 3 + g. Let f(h) = -y + 2 + 0*h + h. Let p(r) = 6*r**2. What is p(f(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 10\/43901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/2)\/(6\/198). Let s = w + 353. What is the remainder when 66 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 14 = 0. Let i = 2 - a. List the prime factors of (1 - 0)*(-125)\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(5\/3))\/(j**(-6)*j\/j**7) assuming j is positive.\nAnswer: j**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.4 + 106.43. Which is the third smallest value? (a) -2\/7 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313404 divided by -492.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -537823.\nAnswer: 118\/537823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 957, 1965, 2987, 4023, 5073, 6137, 7215?\n\"Answer: 7*i**2 + 987*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {t: 1, a: 3, y: 2, o: 9, i: 2, x: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/420*-161*(5 - (-27)\/(-5)).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/11, -2\/7, 0.05, -11\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -9 + -4 - ((6 - 8) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2335, 4860, 7579, 10486, 13575, 16840?\nAnswer: 20275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = 3*o + 8, 2*r = 5*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/((-3880)\/16)*13\/((-65)\/350)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89\/4 + -22. Let j = 59882 - 59881. Which is the closest to j? (a) 0.149 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 + 3*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s - 14479 + 91474 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**2 + 5*j**2 + 0*j**2 + 9*j**3 - j**2 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1336 and 3173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -33*n**2 - n - 204. What is f(7)?\nAnswer: -1828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 747, 2968, 6671, 11856, 18523, 26672?\n\"Answer: 741*s**2 - 2*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/3083?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -16.2, -5, -768, -1\/5, -2, 44?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 20*32\/40. Solve 0 = -5*s + a*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:55 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*s + 288 = -616 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/8)\/(6\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 2689 + 7303. List the prime factors of i.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*n - 428*n - 459*n + 822*n.\nAnswer: 100*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.999732. Round p to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 1576*m\/11 - 310472\/11.\nAnswer: -2*(m - 394)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1590, -6282, -14102, -25050?\n\"Answer: -1564*z**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29dba + -12?\nAnswer: 29da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91) - 1*sqrt(91))*6*6)\/(-1*sqrt(343)*-2 + -4*sqrt(343)*2 + sqrt(343)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwwdfwwdddff. What is prob of picking 1 f and 2 w?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/675 and 104\/1575.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1542 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0 + 6*s - 2 + 1. Suppose -3 = -r - 5*f, r + r = -5*f - 4. Let d(a) = -13*a + 1. Let n(i) = r*q(i) - 3*d(i). What is the derivative of n(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 - 180273*c - 383751030 = 0. Calculate c.\nAnswer: -57881, -2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11487, 0, 40, -0.3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Suppose -2*v = u*v - 20. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568233.932 minus 0.044?\nAnswer: -1568233.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 158\/(-4). Let z = -26 - q. Let w be (-12)\/z*-23 - (-8)\/28. Solve -w = -3*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -117?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 131 (b) 1\/41 (c) -0.1 (d) -0.5 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 816*w**2 - 79002*w + 873620.\nAnswer: -2*(w - 10)*(w + 209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e7 + 64?\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(75) + 2*sqrt(75))*4 - sqrt(75) - sqrt(75)) - (-4 + (sqrt(75) + -6*sqrt(75)*2 + sqrt(75) - sqrt(75))))**2.\nAnswer: 33075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21 + (-72)\/(-336).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91551721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (9 + -11) - (43 - (5 - 7))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 71987 = 72818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 97*x - 86*x + 2*u, 5*u - 460 = -11*x + u for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 2*h**5\/5 - 2*h**2 - 12*h. What is the first derivative of z(r) wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.22 and 5003809573.\nAnswer: 5003809573.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 - 91. Let i = -168 + f. Put 23, 5, i, -4 in descending order.\nAnswer: 23, 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13536838*f**2 - 1023*f + 213?\nAnswer: 27073676","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -17 - 60*l - 80*l - 3*l**5 - 170*l**3 + 63*l**5 + 55*l**4 - 285*l**2 - 3 = 0.\nAnswer: -1, -2\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*a = 3, -21 + 5 = -4*y - 4*a. Put 4, y, -16 in decreasing order.\nAnswer: 4, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + w**5 + 4*w**4 + (-2*w**3 - 2*w**3 + 5*w**3)*(-2*w**2 - 3*w + 3*w) + 173*w**2 + 12*w**5 - 173*w**2.\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1130 and 933606?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufxu when four letters picked without replacement from xuuuuufufxxfux.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 2 - 57 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -433*f + 234. Is m(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 12 = 23*b. Suppose 4*t - 3*m = 10, 9 + 7 = 2*t + b*m. Factor -2\/11*y**t + 0*y + 2\/11*y**3 - 2\/11*y**5 + 0 + 2\/11*y**2.\nAnswer: -2*y**2*(y - 1)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6105519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 4. Suppose -2*v - w = 4, -w - 5 = -o*v - 1. Suppose -5*j + v*c = 2*c - 256, 4*j - 185 = 5*c. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 0*t**2 - 2 + 5*t**2 - 73*t**3 + 74*t**3 - t**2. What is the units digit of o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19039088*h**2 - h + 126200682 with respect to h.\nAnswer: 38078176*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:49 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*i)*(i - 4*i + 2*i)*(-7 + 6*i + 7).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**2))\/(t\/t**(-4)))\/(t\/(t\/(t\/((((t*((t*t*t*t**0\/t*t)\/t)\/t)\/t)\/t)\/t*t))))**44 assuming t is positive.\nAnswer: t**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 24. Calculate the least common multiple of a and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2773 and 6785?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -3\/4, 4, 7.21, 56?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 + 16*i**2 + 76*i + 16. Determine s(-4).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and 41847.\nAnswer: 41831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*n + 36 - 34 = 0, 14*n + 3*n + 8 = 19*n for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 - 6*n - 6. Let k be j(-4). Suppose -2*z + m + 13 = 0, 8 = -2*m - k. Solve 0 = 4*t - 2*t + i + 6, 24 = -z*t + i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227130 - -57.\nAnswer: 227187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 44*k**2 - 39*k + 130. Determine y(-43).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**15\/j))*j\/(j\/(j\/j**(15\/8))*j))\/((j*j**(-25)*j*j)\/(j**(1\/5)*j*j)) assuming j is positive.\nAnswer: j**(1453\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.79 - 0.49. Let u = t + 0.7. What is the closest to -2\/7 in -5, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 551398347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r - 2*f + 12 = 0, 2*f = 2*r - 20. Let a(y) = -y + 4. What is the lowest common multiple of a(0) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 12:10 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/465 and 79\/15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*84\/112*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**2 + 6*y - 6. Let a(b) = 3*b**2 - 2*b + 2. Give -11*a(l) - 4*c(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5821\/19000 + -2\/125. Find the common denominator of q and (1 - 82\/84)*(-9)\/2.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 88 - 23 + (-4 - 1 + 4)*(35 + 60 - 39))*(w**3 + w**3 - 4*w**3).\nAnswer: 276*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7454877 (base 10) to base 8.\nAnswer: 34340235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (4 - (-5 + 1 + 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + 2*w. Let g(x) = -19*x**2 + 9*x. What is 2*g(s) - 9*m(s)?\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(4*-1) + -9. Is h at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(10 - (-54)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483515 is divided by 745.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 5515680.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, r: 3, z: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85335625 divided by 125?\nAnswer: 682685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35797 + -35797.00000038514. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - a + 9 = 0, 5*h + 2*a - 17 = -3. What is the highest common factor of 32 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(133) + sqrt(133))\/sqrt(7) + 1*sqrt(1216))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - 142. Round g to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygggggyyxxggxgyyy. Give prob of picking 1 g and 1 y.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/50888416 and -11\/40.\nAnswer: 254442080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 12*r + 3. Let f be w(6). Solve f = 2*g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 117. Let n = -409 - -419. What is the greatest common factor of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(-1\/7)\/(t**(-2))**(2\/109))**(-47) assuming t is positive.\nAnswer: t**(-10387\/3052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 166532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 227 + 3*c - c**2 + 226 - 4*c**3 to the form v*c**2 + k*c**3 + r*c + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708500505.\nAnswer: 5, 61, 5601641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 60063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 13 + 7*m**2 + 2*m**2 + 21 + 4*m**3 - 10. Let w(r) = -r**3 - r**2 + r + 1. Calculate o(s) + 2*w(s).\nAnswer: 2*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 - 82 = 5*i. Solve -i*j**3 - 2*j**4 - 8*j + 33*j**2 - 8*j**3 - 55*j**2 - j**5 + 3*j**5 = 0 for j.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/(-645) - -5*(-286)\/(-275).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5369144?\nAnswer: 2, 11, 17, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 - -228.21. Let d = -1.20806 + x. What is d rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnwqwkhhqqnnq. Give prob of picking 1 q, 1 k, and 2 n.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 174658*a\/5 + 3843444\/5.\nAnswer: -2*(a - 87351)*(a + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*t + 4*t**3 + 528 + 123*t - 255*t + 496 - 1003.\nAnswer: 4*t**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -100, -105, -112, -121, -132?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272.3 - -250.21. Let x = w - -22. Let o = x - -0.09000005. Round o to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from tjtotttctctcotjtjtj?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14024*c**2 - 2*c + 2. Let h be l(1). Let r = -210271\/15 - h. Find the common denominator of r and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:43 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let u = n + 7. Suppose 198 = -10*x + 158 + 120. Calculate the highest common divisor of x and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:37 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171\/28 - -48\/7. Let s be ((-12)\/(3 + -7))\/(-31 - -28). Which is the closest to s? (a) q (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1047 by 349.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -d482d (base 14) in base 2?\nAnswer: -1111100111111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z + 5*z**3 + 6*z + (2*z**2 + 4*z**2 - 4*z**2)*(0*z - 2*z + 0*z) to the form w*z**3 + c + a*z**2 + g*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24658328 is divided by 100237.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2669161, -2669157, -2669151, -2669143, -2669133, -2669121, -2669107?\n\"Answer: j**2 + j - 2669163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 460*c - 365*c + 3 - 232*c in the form j*c + k and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -25627\/1500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19179, 1\/5, -2.\nAnswer: -2, 1\/5, 19179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 657 - -127. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*d**5 + 26*d**5 + 57*d**5 + 1 - 1 - d**5 + 2*d**5 - 2 + 2 + (d + 2*d**2 - d)*(-2*d**3 + 2*d**3 + 2*d**3).\nAnswer: 59*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -777684635*s**5 + 239443049*s**2 + 2?\nAnswer: -46661078100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 13. Let b be h(4). Let z = b + -5. Suppose t = -6*q + 4*q + 880, 5*q - z*t - 2191 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4434043 + 34?\nAnswer: 4434132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/10871280 and 67\/1584?\nAnswer: 119584080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = -c + 19, -2*c - 6 = p. Is c greater than or equal to -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107576.146 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(5 - 3)*(-2)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 49\/(-21))*2868.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**3*x**2 - k**3*x + 59*k**3 - 3*x**2 wrt x.\nAnswer: 28*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**5)*d)*d**(7\/4))**(-1\/3) assuming d is positive.\nAnswer: d**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46593.\nAnswer: 3, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -25*d - 854. What is b(-35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207714314 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2504*l**2 + 2497*l**2 + 2501*l**2 - 10004*l**2 + 2496*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 991*i + 6173. Determine w(-6).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2. Let a be 2 + -3 + -4 + -1. Let p(u) = 9*u - 5. Let m(v) = 5*v - 3. Let h(c) = a*p(c) + 10*m(c). Calculate y(h(r)).\nAnswer: 160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 18*g**2 - 21*g - 36. Let n be z(-19). Suppose -f = 3*r - 1031, n*r - 5*f = 469 + 224. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 132, -1\/5, 31\/2, 0.3?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 143 = -a, 588*d = 586*d + a + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 28 = -16*z. Solve z*j + o = -8, -j + o = -3*o - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/60 - -173\/420. Let d = -4.9 - -4.9. Let p be 63\/(-135) + (-2)\/(-6). What is the nearest to -0.1 in d, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315343 rounded to the nearest 1000?\nAnswer: -315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13123 - 60*x**2 - 35*x + 13123 wrt x.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or 836?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*n*p**2 + 3006*n + 202*p**2 - 3542 wrt n?\nAnswer: -10*p**2 + 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.71 + -2.71. Which is the second smallest value? (a) -2\/11 (b) 3 (c) j (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 322 = 15*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22033936 is divided by 582.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88373275 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a - 4*a - 30*a)*(3 + 3 - 4 + (-3 + 5 + 0)*(-1 + 1 + 2) - 5 + 5 + 2 - 3 + 1 + 1).\nAnswer: -336*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*w = -4, -2*z + 2 = -7*z + w. Let v = 12 + z. What is the highest common divisor of v and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5096530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 150 = -190. Let h(i) = -i**2 + 20*i + 125. Let k be h(p). Solve -8*y - y = k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*r + 3 = 0, -3*m = -m - 4*r - 38. Is m greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 41\/(-70) + 0 and 2 - ((-70)\/(-24))\/((21\/(-21))\/8).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 60 = -p. Let r be 1 + 1 - p\/5. Let u(k) = -k**3 + 9*k**2 - 20*k + 21. Let w be u(7). Is w < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176811 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6918*t - 407. Is j(32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a3 - 2?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -221112112?\nAnswer: 221112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 + 993 = 16*z + 12*z - 824 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*q + 249*q - 3 - 115*q)*(98*q + 88*q - 132*q).\nAnswer: 702*q**2 - 162*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1129 + -1129. Let g(k) be the first derivative of -3\/2*k**2 + r*k + 0*k**4 + 0*k**3 + 3*k**5 - 5. Find the second derivative of g(c) wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -3*m + 71. Solve -3*a = -u + 10, 17 - m = -5*u - a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0947 plus -3.16226121?\nAnswer: -3.25696121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(-1)\/(-2)*-1. Suppose -5*x = -5*g + 10, 2*x - 2 = -4. Solve p - g = o - 2, 3*p - f*o = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:28 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 6. What is u(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2867 (b) 4 (c) 2\/5 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 7, l: 1, f: 2, e: 1, a: 4}. Give prob of picking 3 f and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 0*y**2 + 3*y**2)*(3*y + y - 2*y) + 11*y**2 + 5*y**3 - 11*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 2*j + 1. Let a(o) = 5*o**2 - 6*o - 43. Let x(f) = -a(f) - 6*b(f). Let d be x(-16). Sort 18, d, 3 in ascending order.\nAnswer: 3, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**4 + 784290*x**2 - 4691203*x wrt x?\nAnswer: -144*x**2 + 1568580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*p - 11, -4*i - 6*p = -8*p + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 42*m**2 - 21*m - 261. What is the tens digit of b(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*k + 6744, -3*z - 4040 = -6*z + 4*k. Does 88 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -9\/5, -0.1, -2\/9 in decreasing order.\nAnswer: 4, -0.1, -2\/9, -9\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10298\/84 + 2 + 38 + -43. Let t = -941\/7 + d. Calculate the common denominator of t and -62\/255.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 37*b + 50. Factor -9567 + 12*o**2 - 15*o + 3*o**b + 9567.\nAnswer: 3*o*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -54. Let n = -1.92 + 2.72. Which is the second smallest value? (a) i (b) -3 (c) n (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -69. Suppose -4*o - 9 = -w. Let y be (((0\/(-16))\/(-7))\/(3 + -6))\/1. Solve 4*l = -5*v - y + 2, -2*l = -o*v + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 + 2*m - 4. Suppose -2*k - 8 = -18. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*t - 7890 + 7927, -2*t = -7*x + 32. Suppose 3*g = g. Solve -x*m + g*m + 10 = -r, 18 = r + 5*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z - 6. Let f = 13 + 3. Suppose 2*p = 6*p - f. Solve -z = m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 6*m. Let p be z(5). Let n = 7 + -11. Let r = -12 + 37\/3. Which is the nearest to 0? (a) p (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 518*b*l**3*m - 1298*b*l**3*r + 2*b*l**3 - 57*b*l**2 + 178*b*m*r - 14*r wrt m?\nAnswer: 518*b*l**3 + 178*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 33027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/21)*k**(-2\/5)*k**0*k\/((k**2*k*k)\/k*k) assuming k is positive.\nAnswer: k**(-367\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -101220?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}